ࡱ>  G Cbjbjَ "0]b5b5b5b555555555 65_8 *D*D*D*DEEEB^D^D^D^D^D^D^$_avh^5EcE"EEEh^OYb5b5*D*D98OYOYOYEz b5R*D5*DB^55b5b5b5b5EB^OY~OY]"^5"5B^*D74P]55PP:^Introduction to the article Degrees of Freedom. The article by Walker, H. W. Degrees of Freedom. Journal of Educational Psychology. 31(4) (1940) 253-269, was transcribed from the original by Chris Olsen, George Washington High School, Cedar Rapids, Iowa. Chris has made every attempt to reproduce the "look and feel" of the article as well as the article itself, and did not attempt in any way to update the symbols to more "modern" notation. Three typographical errors were found in the paper. These errors are noted in the paragraphs below. The article, except for pagination and placement of diagrams, is as it originally appears. The transcribed pages are not numbered to avoid confusion with pagination in the original article. Typographical errors: (1) In the section on t-distribution (the 7th of these notes) the last sentence should read The curve is always symmetrical, but is less peaked than the normal when n is small. In the section (b) Variance of Regressed Values about Total Mean (the 12th page of these notes)  EMBED Equation  and  EMBED Equation  are reversed in the expression  EMBED Equation.DSMT4 . It should read  EMBED Equation.DSMT4  (3) In the section Tests Based on Ratio of Two Variances (the 14th page of these notes), the second sentence, we may divide  EMBED Equation.DSMT4  by  EMBED Equation.DSMT4  obtaining  EMBED Equation.DSMT4  should read we may divide  EMBED Equation.DSMT4  by  EMBED Equation.DSMT4  obtaining  EMBED Equation.DSMT4  Another possible confusion to modern ears may come in the section entitled "F-distribution and z-distribution." The z-distribution mentioned is NOT the standardized normal distribution, but is a distribution known as "Fisher's z distribution." A potential problem in reading this file (other than not having Word!) is --[that]-- the equations, which were inserted using MathType from Design Science. Chris used Math Type 4.0, and if you have anything less it could be a problem. A Math Type reader program can be downloaded from the web. --[ www.mathtype.com. Follow the paths to support.]-- Degrees of Freedom. Journal of Educational Psychology. 31(4) (1940) 253-269 DEGREES OF FREEDOM HELEN M. WALKER Associate Professor of Education, Teachers College, Columbia University A concept of central importance to modern statistical theory which few textbooks have attempted to clarify is that of "degrees of freedom." For the mathematician who reads the original papers in which statistical theory is now making such rapid advances, the concept is a familiar one needing no particular explanation. For the person who is unfamiliar with Ndimensional geometry or who knows the contributions to modern sampling theory only from secondhand sources such as textbooks, this concept often seems almost mystical, with no practical meaning. Tippett, one of the few textbook writers who attempt to make any general explanation of the concept, begins his account (p. 64) with the sentence, "This conception of degrees of freedom is not altogether easy to attain, and we cannot attempt a full justification of it here; but we shall show its reasonableness and shall illustrate it, hoping that as a result of familiarity with its use the reader will appreciate it." Not only do most texts omit all mention of the concept but many actually give incorrect formulas and procedures because of ignoring it. In the work of modern statisticians, the concept of degrees of freedom is not found before "Student's" paper of 1908, it was first made explicit by the writings of R. A. Fisher, beginning with his paper of 1915 on the distribution of the correlation coefficient, and has only within the decade or so received general recognition. Nevertheless the concept was familiar to Gauss and his astronomical associates. In his classical work on the Theory of the Combination of Observations (Theoria Combinationis Observationum Erroribus Minimis Obnoxiae) and also in a work generalizing the theory of least squares with reference to the combination of observations (Ergnzung zur Theorie der den kleinsten Fehlern unterworfen Combination der Beobachtungen, 1826), he states both in words and by formula that the number of observations is to be decreased by the number of unknowns estimated from the data to serve as divisor in estimating the standard error of a set of observations, or in our terminology  EMBED Equation.DSMT4  where r is the number of parameters to be estimated from the data. The present paper is an attempt to bridge the gap between mathematical theory and common practice, to state as simply as possible what degrees of freedom represent, why the concept is important, and how the appropriate number may be readily determined. The treatment has been made as nontechnical as possible, but this is a case where the mathematical notion is simpler than any nonmathematical interpretation of it. The paper will be developed in four sections: (I) The freedom of movement of a point in space when subject to certain limiting conditions, (II) The representation of a statistical sample by a single point in Ndimensional space, (III) The import of the concept of degrees of freedom, and (IV) Illustrations of how to determine the number of degrees of freedom appropriate for use in certain common situations. I. THE FREEDOM OF MOVEMENT OF A POINT IN SPACE WHEN SUBJECT TO CERTAIN LIMITING CONDITIONS As a preliminary introduction to the idea, it may be helpful to consider the freedom of motion possessed by certain familiar objects, each of which is treated as if it were a mere moving point without size. A drop of oil sliding along a coil spring or a bead on a wire has only one degree of freedom for it can move only on a onedimensional path, no matter how complicated the shape of that path may be. A drop of mercury on a plane surface has two degrees of freedom, moving freely on a twodimensional surface. A mosquito moving freely in threedimensional space, has three degrees of freedom. Considered as a moving point, a railroad train moves backward and forward on a linear path which is a onedimensional space lying on a twodimensional space, the earth's surface, which in turn lies within a threedimensional universe. A single cordinate, distance from some origin, is sufficient to locate the train at any given moment of time. If we consider a fourdimensional universe in which one dimension is of time and the other three dimensions of space, two cordinates will be needed to locate the train, distance in linear units from a spatial origin and distance in time units from a time origin. The train's path which had only one dimension in a space universe has two dimensions in a spacetime universe. A canoe or an automobile moves over a twodimensional surface which lies upon a threedimensional space, is a section of a three-dimensional space. At any given moment, the position of the canoe, or auto, can be given by two cordinates. Referred to a fourdimensional spacetime universe, three cordinates would be needed to give its location, and its path would be a space of three dimensions, lying upon one of four. In the same sense an airplane has three degrees of freedom in the usual universe of space, and can be located only if three cordinates are known. These might be latitude, longitude, and altitude; or might be altitude, horizontal distance from some origin, and an angle; or might be direct distance from some origin, and two direction angles. If we consider a given instant of time as a section through the space-time universe, the airplane moves in a fourdimensional path and can be located by four cordinates, the three previously named and a time cordinate. The degrees of freedom we have been considering relate to the motion of a point, or freedom of translation. In mechanics freedom of rotation would be equally important. A point, which has position only, and no size, can be translated but not rotated. A real canoe can turn over, a real airplane can turn on its axis or make a nose dive, and so these real bodies have degrees of freedom of rotation as well as of translation. The parallelism between the sampling problems we are about to discuss and the movement of bodies in space can be brought out more clearly by discussing freedom of translation, and disregarding freedom of rotation, and that has been done in what follows. If you are asked to choose a pair of numbers (x, y) at random, you have complete freedom of choice with regard to each of the two numbers, have two degrees of freedom. The number pair may be represented by the cordinates of a point located in the x, y plane, which is a twodimensional space. The point is free to move anywhere in the horizontal direction parallel to the xx' axis, and is also free to move anywhere in the vertical direction, parallel to the yy' axis. There are two independent variables and the point has two degrees of freedom. Now suppose you are asked to choose a pair of numbers whose sum is 7. It is readily apparent that only one number can be chosen freely, the second being fixed as soon as the first is chosen. Although there are two variables in the situation, there is only one independent variable. The number of degrees of freedom is reduced from two to one by the imposition of the condition x + y = 7. The point is not now free to move anywhere in the xy plane but is constrained to remain on the line whose graph is x + y = 7, and this line is a one-dimensional space lying in the original twodimensional space. Suppose you are asked to choose a pair of numbers such that the sum of their squares is 25. Again it is apparent that only one number can be chosen arbitrarily, the second being fixed as soon as the first is chosen. The point represented by a pair of numbers must lie on a circle with center at the origin and radius 5. This circle is a one-dimensional space lying in the original twodimensional plane. The point can move only forward or backward along this circle, and has one degree of freedom only. There were two numbers to be chosen (N = 2) subject to one limiting relationship (r = 1) and the resultant number of degrees of freedom is  EMBED Equation . Suppose we simultaneously impose the two conditions x + y = 7 and  EMBED Equation.DSMT4  If we solve these equations algebraically we get only two possible solutions, x = 3, y = 4, or x = 4, y = 3. Neither variable can be chosen at will. The point, once free to move in two directions, is now constrained by the equation x + y = 7 to move only along a straight line, and is constrained by the equation  EMBED Equation.DSMT4 to move only along the circumference of a circle, and by the two together is confined to the intersection of that line and circle. There is no freedom of motion for the point. N = 2 and r = 2. The number of degrees of freedom is  EMBED Equation . Consider now a point (x, y, z) in threedimensional space (N = 3). If no restrictions are placed on its cordinates, it can move with freedom in each of three directions, has three degrees of freedom. All three variables are independent. If we set up the restriction  EMBED Equation , where c is any constant, only two of the numbers can be freely chosen, only two are independent observations. For example, let  EMBED Equation . If now we choose, say,  EMBED Equation  and  EMBED Equation , then z is forced to be  EMBED Equation . The equation  EMBED Equation  is the equation of a plane, a two-dimensional space cutting across the original three-dimensional space, and a point lying on this space has two degrees of freedom.  EMBED Equation  If the cordinates of the (x, y, z) point are made to conform to the condition  EMBED Equation.DSMT4 , the point will be forced to lie on the surface of a sphere whose center is at the origin and whose radius is  EMBED Equation.DSMT4  The surface of a sphere is a two-dimensional space. (N = 3, r = 1,  EMBED Equation .). If both conditions are imposed simultaneously, the point can lie only on the inter-section of the sphere and the plane, that is, it can move only along the circumference of a circle, which is a onedimensional figure lying in the original space of three dimensions. ( EMBED Equation .) Considered algebraically, we note that solving the pair of equations in three variables leaves us a single equation in two variables. There can be complete freedom of choice for one of these, no freedom for the other. There is one degree of freedom. The condition x = y = z is really a pair of independent conditions, x = y and x = z, the condition y = z being derived from the other two. Each of these is the equation of a plane, and their intersection gives a straight line through the origin making equal angles with the three axes. If x = y = z, it is clear that only one variable can be chosen arbitrarily, there is only one independent variable, the point is constrained to move along a single line, there is one degree of freedom. These ideas must be generalized for N larger than 3, and this generalization is necessarily abstract. Too ardent an attempt to visualize the outcome leads only to confusion. Any set of N numbers determine a single point in Ndimensional space, each number providing one of the N cordinates of that point. If no relationship is imposed upon these numbers, each is free to vary independently of the others, and the number of degrees of freedom is N. Every necessary relationship imposed upon them reduces the number of degrees of freedom by one. Any equation of the first degree connecting the N variables is the equation of what may be called a hyperplane (Better not try to visualize!) and is a space of  EMBED Equation  dimensions. If, for example, we consider only points such that the sum of their cordinates is constant,  EMBED Equation.DSMT4  we have limited the point to an  EMBED Equation  space. If we consider only points such that  EMBED Equation.DSMT4  the locus is the surface of a hypershpere with center at the origin and raidus equal to  EMBED Equation.DSMT4  This surface is called the locus of the point and is a space of  EMBED Equation  dimensions lying within the original N space. The number of degrees of freedom would be  EMBED Equation . II. THE REPRESENTATION OF A , STATISTICAL SAMPLE BY A POINT IN NDIMENSIONAL SPACE If any N numbers can be represented by a single point in a space of N dimensions, obviously a statistical sample of N cases can be so represented by a single sample point. This device, first employed by R. A. Fisher in 1915 in a celebrated paper (Frequency distribution of the values of the correlation coefficient in samples from an indefinitely large population) has been an enormously fruitful one, and must be understood by those who hope to follow recent developments. Let us consider a sample space of N dimensions, with the origin taken at the true population mean, which we will call  so that  EMBED Equation.DSMT4  etc., where  EMBED Equation.DSMT4  are the raw scores of the N individuals in the sample. Let M be the mean and s the standard deviation of a sample of N cases. Any set of N observations determines a single sample point, such as S. This point has N degrees of freedom if no conditions are imposed upon its cordinates. All samples with the same mean will be represented by sample points lying on the hyperplane  EMBED Equation.DSMT4  or  EMBED Equation.DSMT4  a space of  EMBED Equation  dimensions. If all cases in a sample were exactly uniform, the sample point would lie upon the line  EMBED Equation.DSMT4  which is the line OR in Fig. 1, a line making equal angles with all the cordinate axes. This line cuts the plane  EMBED Equation.DSMT4  at right angles at a point we may call A. Therefore, A is a point whose cordinates are each equal to  EMBED Equation.DSMT4  By a well-known geometric relationship,  Fig. 1  EMBED Equation.DSMT4  Therefore,  EMBED Equation.DSMT4  and  EMBED Equation.DSMT4  The ratio  EMBED Equation.DSMT4  is thus  EMBED Equation.DSMT4  and is proportional to the ratio of the amount by which a sample mean deviates from the population mean to its own standard error. The fluctuation of this ratio from sample to sample produces what is known as the tdistribution. For computing the variability of the scores in a sample around a population mean which is known a priori, there are available N degrees of freedom because the point S moves in Ndimensional space about O; but for computing the variability of these same scores about the mean of their own sample, there are available only  EMBED Equation degrees of freedom, because one degree has been expended in the computation of that mean, so that the point S moves about A in a space of only  EMBED Equation dimensions. Fisher has used these spatial concepts to derive the sampling distribution of the correlation coefficient. The full derivation is outside the scope of this paper but certain aspects are of interest here. When we have N individuals each measured in two traits, it is customary to represent the N pairs of numbers by a correlation diagram of N points in twodimensional space. The same data can, however, be represented by two points in Ndimensional space, one point representing the N values of X and the other the N values of Y. In this frame of reference the correlation coefficient can be shown to be equal to the cosine of the angle between the vectors to the two points, and to have  EMBED Equation  degrees of freedom. III. THE IMPORT OF THE CONCEPT If the normal curve adequately described all sampling distributions, as some elementary treatises seem to imply, the concept of degrees of freedom would be relatively unimportant, for this number does not appear in the equation of the normal curve, the shape of the curve being the same no matter what the size of the sample. In certain other important sampling distributions -- as for example the Poisson -- the same thing is true, that the shape of the distriution is independent of the number of degrees of freedom involved. Modern statistical analysis, however, makes much use of several very important sampling distributions for which the shape of the curve changes with the effective size of the sample. In the equations of such curves, the number of degrees of freedom appears as a parameter (called n in the equations which follow) and probability tables built from these curves must be entered with the correct value of n. If a mistake is made in determining n from the data, the wrong probability value will be obtained from the table, and the significance of the test employed will be wrongly interpreted. The Chisquare distribution, the tdistribution, and the F and z distributions are now commonly used even in elementary work, and the table for each of these must be entered with the appropriate value of n. Let us now look at a few of these equations to see the rle played in them by the number of degrees of freedom. In the formulas which follow, C represents a constant whose value is determined in such a way as to make the total area under the curve equal to unity. Although this constant involves the number of degrees of freedom, it does not need to be considered in reading probability tables because, being a constant multiplier, it does not affect the proportion of area under any given segment of the curve, but serves only to change the scale of the entire figure. Normal Curve.  EMBED Equation.DSMT4  The number of degrees of freedom does not appear in the equation, and so the shape of the curve is independent of it. The only variables to be shown in a probability table are x/ and y or some function of y such as a probability value. Chisquare.  EMBED Equation.DSMT4  The number of degrees of freedom appears in the exponent. When n = 1, the curve is Jshaped. When n = 2, the equation reduces to  EMBED Equation.DSMT4  and has the form of the positive half of a normal curve. The curve is always positively skewed, but as n increases it becomes more and more nearly like the normal, and becomes approximately normal when n is 30 or so. A probability table must take account of three variables, the size of Chi-square, the number of degrees of freedom, and the related probability value. t-distribution  EMBED Equation.DSMT4  The number of degrees of freedom appears both in the exponent and in the fraction  EMBED Equation.DSMT4  The curve is always symmetrical, but is more peaked than the normal when n is small. This curve also approaches the normal form as n increases. A table of probability values must be entered with the computed value of t and also with the appropriate value of n. A few selected values will show the comparison between estimates of significance read from a table of the normal curve and a ttable. For a normal curve, the proportion of area in both tails of the curve beyond 3 is .0027. For a tdistribution the proportion is as follows: n1251020p.204.096.030.014.007 Again, for a normal curve, the point such that .01 of the area is in the tails is 2.56 from the mean. For a tdistribution, the position of this point is as follows: n1235102030 EMBED Equation.DSMT4 63.69.95.84.03.22.82.75 F-distribution and z-distribution  EMBED Equation.DSMT4  In each of these equations, which provide the tables used in analysis of variance problems, there occurs not only the computed value of F (or of z), but also the two parameters  EMBED Equation.DSMT4 being the number of degrees of freedom for the mean square in the numerator of F and EMBED Equation.DSMT4  the number of degrees of freedom for that in the denominator. Because a probability table must be entered with all three, such a table often shows the values for selected probability values only. The tables published by Fisher give values for p = .05, p = .01, and p = .001; those by Snedecor give p = .05 and p =01. Sampling Distribution of r. This is a complicated equation involving as parameters the true correlation in the population, ; the observed correlation in the sample, r; and the number of degrees of freedom. If  EMBED Equation.DSMT4  the distribution is symmetrical. If EMBED Equation.DSMT4  and n is large, the distribution becomes normal. If  EMBED Equation.DSMT4  and n is small the curve is definitely skewed. David's Tables of the Correlation Coefficient (Issued by the Biometrika Office, University College, London, 1938) must be entered with all three parameters. IV. DETERMINING THE APPROPRIATE NUMBER OF DEGREES OF FREEDOM A universal rule holds: the number of degrees of freedom is always equal to the number of observations minus the number of necessary relations obtaining among these observations. In geometric terms, the number of observations is the dimensionality of the original space and each relationship represents a section through that space restricting the sample point to a space of one lower dimension. Imposing a relationship upon the observations is equivalent to estimating a parameter from them. For example, the relationship  EMBED Equation.DSMT4 indicates that the mean of the population has been estimated from observaitons. The number of degrees of freedom is also equal to the number of independent observations, which is the number of original observations minus the number of parmeters estimated from them. Standard Error of a Mean. --This is  EMBED Equation.DSMT4  when  is known for the population. As  is seldom known a priori, we are usually forced to make use of the observed standard deviation in the sample, which we will call s. In this case  EMBED Equation.DSMT4  one degree of freedom being lost because deviations have been taken around the sample mean, so that we have imposed one limiting relationship,  EMBED Equation.DSMT4 and have thus restricted the sample point to a hyperplane of  EMBED Equation  dimensions. Without any reference to geometry, it can be shown by an algebraic solution that  EMBED Equation.DSMT4  (The symbol  EMBED Equation.DSMT4  is to be read "tends to equal" or "approximates.") Goodness of Fit of Normal Curve to a Set of Data.-The number of observations is the number of intervals in the frequency distribution for which an observed frequency is compared with the frequency to be expected on the assumption of a normal distribution. If this normal curve has an arbitrary mean and standard deviation agreed upon in advance, the number of degrees of freedom with which we enter the Chisquare table to test goodness of fit is one less than the number of intervals. In this case one restriction is imposed; namely  EMBED Equation.DSMT4  where f is an observed and  EMBED Equation.DSMT4  a theoretical frequency. If, however, as is more common, the theoretical curve is made to conform to the observed data in its mean and standard deviation, two additional restrictions are imposed; namely  EMBED Equation.DSMT4  so that the number of degrees of freedom is three less than the number of intervals compared. It is clear that when the curves are made to agree in mean and standard deviation, the discrepancy between observed and theoretical frequencies will be reduced, so the number of degrees of freedom in relation to which that discrepancy is interpreted should also be reduced. Relationship in a Contingency Table.Suppose we wish to test the existence of a relationship between trait A, for which there are three categories, and trait B, for which there are five, as shown in Fig. 2. We have fifteen cells in the table, giving us fifteen observations, inasmuch as an "observation" is now the frequency in a single cell. If we want to ask whether there is sufficient evidence to believe that in the population from which this sample is drawn A and B are independent, we need to know the cell frequencies which would be expected under that hypothesis. There are then fifteen comparisons to be made between observed frequencies and expected frequencies. But. are all fifteen of these comparisons independent? If we had a priori information as to how the traits would be distributed theoretically, then all but one of the cell comparisons would be independent, the last cell frequency being fixed in order to make up the proper total of one hundred fifty, and the degrees of freedom would be  EMBED Equation . This is the situation Karl Pearson had in mind when he first developed his Chi-square test of goodness of fit, and Table XII in Vol. I of his Tables for Statisticians and Biometricians is made up on the assumption that the number of degrees of freedom is one less than the number of observations. To use it when that is not the case we merely readjust the valuof n with which we enter the table. In practice we almost never have a priori estimates of theoretical frequencies, but must obtain them from the observations themselves, thus imposing restrictions on the number of independent observations and reducing the degrees of freedom available for estimating reliability. In this case, if we estimate the theoretical frequencies from the data, we would estimate the frequency  EMBED Equation.DSMT4  and others in similar fashion. Getting the expected cell frequencies from the observed marginal frequencies imposes the following relationships:  EMBED Equation.DSMT4   EMBED Equation.DSMT4   EMBED Equation.DSMT4   EMBED Equation.DSMT4  EMBED Equation.DSMT4  EMBED Equation.DSMT4  EMBED Equation.DSMT4  EMBED Equation.DSMT4  EMBED Equation.DSMT4  EMBED Equation.DSMT4 123520 EMBED Equation.DSMT4  EMBED Equation.DSMT4  EMBED Equation.DSMT4  EMBED Equation.DSMT4 20 EMBED Equation.DSMT4 361120 EMBED Equation.DSMT4  EMBED Equation.DSMT4  EMBED Equation.DSMT4  EMBED Equation.DSMT4 20 EMBED Equation.DSMT4 330235 EMBED Equation.DSMT4  EMBED Equation.DSMT4  EMBED Equation.DSMT4  EMBED Equation.DSMT4 35 EMBED Equation.DSMT4 914730 EMBED Equation.DSMT4  EMBED Equation.DSMT4  EMBED Equation.DSMT4  EMBED Equation.DSMT4 30 EMBED Equation.DSMT4 1372545 EMBED Equation.DSMT4  EMBED Equation.DSMT4  EMBED Equation.DSMT4  EMBED Equation.DSMT4 45406050150406050150 FIG. 2Observed joint frequency distri FIG. 3.Observed marginal frequencies of bution of two traits A and B. two traits A and B. At first sight, there seem to be nine relationships, but it is immediately apparent that (c) is not a new one, for it can be obtained either by adding the three (a) equations or the five (b) equations. Also any one of the remaining eight can be obtained by appropriate manipulation of the other seven. There are then only seven independent necessary relationships imposed upon the cell frequencies by requiring them to add up to the observed marginal totals. Thus  EMBED Equation  and if we compute Chisquare, we must enter the Chisquare table with eight degrees of freedom. The same result can be obtained by noting that two entries in each row and four in each column can be chosen arbitrarily and there is then no freedom of choice for the remaining entries. In general in a contingency table, if c = number of columns and r = number of rows, the number of degrees of freedom is  EMBED Equation  or  EMBED Equation . Variance in a Correlation Table.-Suppose we have a scatter diagram with c columns, the frequencies in the various columns being  EMBED Equation.DSMT4  the mean values of Y for the columns being  EMBED Equation.DSMT4  and the regression values of Y estimated from X being EMBED Equation.DSMT4  Thus for any given column, the sum of the Y's is  EMBED Equation.DSMT4  For the entire table  EMBED Equation.DSMT4   EMBED Equation.DSMT4  so that  EMBED Equation.DSMT4  Now we may be interested in the variance of all the scores about the total mean, of all the scores about their own column means, of all the scores about the regression line, of regressed values about the total mean, of column means about the total mean, or of column means about the regression line, and we may be interested in comparing two such variances. It is necessary to know how many degrees of freedom are available for such comparisons. (a) Total Variance.-For the variance of all scores about the total mean, this is  EMBED Equation.DSMT4  we have N observations and only one restriction; namely,  EMBED Equation.DSMT4  Thus there are  EMBED Equation  degrees, of freedom. (b) Variance of Regressed Values about Total Mean.-The equation for the regressed values being  EMBED Equation.DSMT4  it is clear that as soon as x is known, y is also known. The sample point can move only on a straight line. There is only one degree of freedom available for the variance of regressed values. (c) Variance of Scores about Regression Line.-There are N residuals of the form  EMBED Equation.DSMT4  and their variance is the square of the standard error of estimate, or  EMBED Equation.DSMT4  There are N observations and two restrictions; namely,  EMBED Equation.DSMT4  and  EMBED Equation.DSMT4  Thus there are  EMBED Equation  degrees of freedom available. (d) Variance of Scores about Column Means.-If from each score we subtract not the regression value but the mean of the column in which it stands, the variance of the residuals thus obtained will be  EMBED Equation.DSMT4  where E is the correlation ratio obtained from the sample. There are N such residuals. For each column we have the restriction  EMBED Equation.DSMT4  making c restrictions in all. The number of degrees of freedom for the variance within columns is therefore  EMBED Equation . (e) Variance of Column Means about Total Mean-To compute this variance we have c observations, i.e., the means of c columns, restricted by the single relation  EMBED Equation.DSMT4  and therefore have  EMBED Equation  degrees of freedom. The variance itself can be proved to be  EMBED Equation.DSMT4  and represents the variance among the means of columns, (f) Variance of Column Means about Regression Line.-If for each column we find the difference  EMBED Equation.DSMT4  between the column mean and the regression value, and then find  EMBED Equation.DSMT4  the result will be  EMBED Equation.DSMT4  which is a variance representing the departure of the means from linearity. There is one such difference for each column, giving us c observations, and these observations are restricted by the two relationships  EMBED Equation.DSMT4  and  EMBED Equation.DSMT4  Therefore, we have  EMBED Equation  degrees of freedom. The following scheme shows these relationships in summary form: Source of variationFormulaDegrees of Freedom(d) Scores about column means ................. (e) Means about total mean .................... (a) Total ................................... (c) Scores about regression line................... (b) Regressed values about total mean ....... (a) Total ............................. (d) Scores about column means .... (f) Column means about regression line ..... (c) Scores about regression line ................. (b) Regressed values about total mean ....... (f) Column means about regression line ..... (e) Column means about total mean.. (b) Regressed values about total mean.. (f) Column means about regression line. (d) Scores about column means.. (a) Total..  EMBED Equation.DSMT4  EMBED Equation.DSMT4  EMBED Equation.DSMT4  EMBED Equation.DSMT4  EMBED Equation.DSMT4  EMBED Equation.DSMT4  EMBED Equation.DSMT4  EMBED Equation.DSMT4   EMBED Equation.DSMT4  EMBED Equation.DSMT4  EMBED Equation.DSMT4   EMBED Equation.DSMT4  EMBED Equation.DSMT4  EMBED Equation.DSMT4  It is apparent that these variances have additive relationships and that their respective degrees of freedom have exactly the same additive relationships. Tests Based on Ratio of Two Variances.-From any pair of these additive variances, we may make an important statistical test. Thus, to test whether linear correlation exists in the population or not, we may divide  EMBED Equation.DSMT4  by  EMBED Equation.DSMT4  obtaining  EMBED Equation.DSMT4  To test whether a relationship measureable by the correlation ratio exists in the population, we may divide  EMBED Equation.DSMT4  by  EMBED Equation.DSMT4  obtaining  EMBED Equation.DSMT4  To test whether correlation is linear, we may divide  EMBED Equation.DSMT4  by  EMBED Equation.DSMT4 obtaining  EMBED Equation.DSMT4  or may divide  EMBED Equation.DSMT4  by  EMBED Equation.DSMT4  obtaining  EMBED Equation.DSMT4  In each case, the resulting value is referred to Snedecor's Ftable which must be entered with the appropriate number of degrees of freedom for each variance. Or we may find the logarithm of the ratio to the base e, take half of it, and refer the result to Fishers z-table, which also must be entered with the appropriate number of degrees of freedom for each variance. Partial Correlation.-For a coefficient of correlation of zero order, there are  EMBED Equation  degrees of freedom. This is obvious, since a straight regression line can be fitted to any two points without residuals, and the first two observations furnish no estimate of the size of r. For each variable that is held constant in a partial correlation, one additional degree of freedom is lost, so that for a correlation coefficient of the pth order, the degrees of freedom are  EMBED Equation . This places a limit upon the number of meaningful interrelationships which can be obtained from a small sample. As an extreme illustration, suppose twentyfive variables have been measured for a sample of twentyfive cases only, and all the intercorrelations computed, as well as all possible partial correlations-the partials of the twentythird order will of necessity be either  EMBED Equation.DSMT4  or  EMBED Equation.DSMT4 , and thus are meaningless. Each such partial will be associated with  EMBED Equation  degrees of freedom. If the partial were not +1 or  EMBED Equation.DSMT4  the error variance  EMBED Equation.DSMT4  would become infinite, a fantastic situation. BIBLIOGRAPHY Dawson, S.: An Introduction to the Computation of Statistics. University of London Press, 1933, p. 114. No general discussion. Gives rule for  EMBED Equation.DSMT4  only. Ezekiel, M.: Methods of Correlation Analysis. John Wiley & Sons, 1930, p. 121. Fisher, R. A.: "Frequency distribution of the values of the correlation coefficient in samples from an indefinitely large population." Biometrika, Vol. x, 1915, pp. 507521. First application of ndimensional geometry to sampling theory. Fisher, R. A.: Statistical Methods for Research Workers. Oliver and Boyd. This has now gone through seven editions. The term "degrees of freedom" does not appear in the index, but the concept occurs constantly throughout the book. Goulden, C. H.: Methods of Statistical Analysis. John Wiley and Sons, Inc., 1939. See index. Guilford, J. P.: Psychometric Methods. McGrawHill, 1936, p. 308. Mills, F. C.: Statistical Methods Applied to Economics and Business. Henry Holt & Co., 2nd ed., 1938. See index. Rider, P.R.: "A survey of the theory of small samples." Annals of Mathematics. Vol. xxxi, 1930, pp. 577628. Published as a separate monograph by Princeton University Press, $1.00. Gives geometric approach to sampling distributions. Rider, P. R.: An Introduction to Modern Statistical Methods. John Wiley and Sons, Inc., 1939. See index. While there is no general explanation of the meaning of degrees of freedom, this book gives a careful and detailed explanation of how the number of degrees of freedom is to be found in a large variety of situations. Snedecor, G. W.: Statistical Methods. Collegiate Press, Inc., 1937, 1938. See index. Snedecor, G. W.: Calculation and Interpretation of Analysis of Variance and Covariance. Collegiate Press, Inc., 1934, pp. 910. Tippett, L. H. C.: The Methods of Statistics. Williams and Norgate, Ltd., 1931. One of the few attempts to treat the concept of degrees of freedom in general terms, but without geometric background, is made on pages 6465. Yule and Kendall: Introduction to the Theory of Statistics. Charles Griffin & Co. London, 1937, pp. 415416, 436.  .23Qcf+,-.34EFGHij% 3 4 K ԻԨԚxtH*h jEHUj5n< UVmH jEHUjn< UVmH jUjEHUhjn< UVmHjEHUhjn< UVmH jUh5h6hh5CJOJQJ6CJOJQJ CJOJQJCJ5CJ 56CJ 5CJh-23   l m + /.$ & F $ $/.23   l m + , XYSrs@ A w"x"!%"%G'H'())B,C,..V3W3v5w5d7e7<<<<<<<>BBdCeCEE%E&E'E(E)E*E+E,E-E.E"#!%  XK L M N R S j k l m x y     _ ` r s l Ԯ CJmH nH 5CJmH nH 5CJmH nH  CJ mH nH >*6hh jEHU j>EHUjn< UVmH jUEHU jEHUjg< UV jOEHUjLm< UV jU jf EHUjMg< UV3+ , XYSrs@ A w"/./. /. H /. /. /.$/./.h/./.DostIJSrs@ A "#P%T%&&&&&&G'H'(((())E)N)))))))**5*6***+++++,,,=,>,jn< UVjCJUmH nH >*CJmH nH 5CJ5CJmH nH 6CJCJ jGEHUj^ig< UV jU CJmH nH 6CJmH nH Cw"x"!%"%G'H'())B,C,..V3W3v5w5d7e7<<<<<%/.  $$$8/./. /. T/.>,?,@,A,w,|,,,,,,,,,,,,--------------.......... ////4//000000000حؘj -CJEHUmH nH j+n< UVj*CJEHUmH nH jn< UV j'EHUjig< UV j$EHUjig< UV jU CJmH nH 6CJmH nH jCJUmH nH j"CJEHUmH nH 6000000000000000000011!1"1#1$1&13141E1F1G1H1112222 2'2T2٧}uhj9CJEHUmH nH jn< UVj7CJEHUmH nH jtn< UVj5CJEHUmH nH jmn< UV6CJmH nH jp3CJEHUmH nH jcn< UVj`1CJEHUmH nH j\n< UVjCJUmH nH j0/CJEHUmH nH jFn< UV CJmH nH (T2U2l2m2n2o22222222/33343:3;3=3>3O3P3Q3R3S3V3b4c4t4u4v4w4w55555555566777 8!8F8G8͸~~~~~6CJCJjID6EHUnH jn< CJUVmH6nH j6UnH jB6CJEHUmH nH jn< UVj6CJUmH nH 6CJmH nH  j?EHUjjg< UV CJmH nH  j<EHUjjg< UV jU1G8}8~8'9(999,:-:>:?:@:A::::::::::::::+;,;C;D;E;F;G;;;;;;;;;<vmj6CJUjQCJEHUjjg< CJUV jCJU jMEHUjlg< UVjK6CJEHUmH nH jWn< UVCJ jHEHUji< UV jUjF6CJEHUmH nH jn< UVj6CJUmH nH 6CJmH nH  CJmH nH )<<<<8<9<l<m<~<<<<<<<<<<<"=#=;=<=R=S=c=d=>>v@x@@@@@@@@@@@2A4AvAxAAAAAA B BUBº¨¨¨¨¨¨£¨¨ jM[EHUjjog< UV jXEHUj)og< UV jU6CJmH nH 56CJmH nH 5CJmH nH  CJmH nH jV6CJEHUjAn< UV6CJCJj6CJUjT6CJEHUj3n< UV4<<<>BBdCeCEE%E&E'E(E)E*E+E,E-E.E/E0E1E2E3E4E5E/."h#!%/.UBVBBBBCCCCCC3C4C5C6C7CBCCCTCUCVCWCdCeCCCCCCC DKDLDcDdDeDfDgDDDDDDDDDDDy j%nEHUjqg< UV j;kEHUjNqg< UV jMgEHUjWi< UVj[\\^\b\f\j\n\t\z\|\\\\\\\\\\]]^^^ ^ ^ ^^^^^^5^:^>^B^F^J^N^S^T^U^?= >=;<765/.,Z5E6E7E8E9E:E}EEEGGIIKKKLLMQNQSSS6/.5,/.5/. /$/./h/.//..$/.,$/./.VHWHhHiHjHkHHHHHHH I IIIIIBJDJqJrJJJKK K K K"K,K-KKKKKKKKKLLGOIOOOOOPPPPPPPJQKQMQNQQQͶ͟͜6CJCJ5CJmH nH j6CJEHUmH nH jn< UVju6CJEHUmH nH  CJmH nH jd6CJEHUmH nH jn< UV6CJmH nH j6CJUmH nH [\\>=/.;/.;/.;$/.</.<,/.$ /. /.7,/.YYYY(Z*Z*[,[\\\\^\`\z\|\~\\\\\]]^^^^^^1^2^3^4^S^T^X^z^|^^^^^^^;_=_C_E_d_e_|_}_~__________`````` jEHUjwg< UV j EHUjTg< UV jEHUjIm< UV jݛEHUj i< UV jU6CJCJ CJmH nH 6CJmH nH B\\^\b\f\j\n\t\z\|\\\\\\\p\$$l t  ֈ@  ! =$$/.=</.\\\\]]^^^ ^ ^ ^^^^^ =$$/.?>=</.=/.\$$l t  ֈ@  !^^5^:^>^B^F^J^N^S^ =$$/.r$$l t  ִ  L<," xxxxx S^T^U^V^W^X^{^|^^^^xxxxl =/.  2 =</.  2=</.r$$l t  ִ  L<," xxxxx U^V^W^X^{^|^^^^,a-a.a/a0a1a2a3aOaPaddd eehhekfk1l2lhoppssvvxxxxyyyy1yMyiyjykylymyyyyyyyyyyyyyz#z?z[z^z_z{z}zzzzzzzzzzzz{{{{!{"{^ ^]VQPNLDC@BA=X`aa%a&a3aMaVbXbbbbbbb,c.c\c^c`cbclcpcccccdddd9d^dd egg4g5g6g7ghhhhiiii~iij0j1j@jjCJEHUjg< CJUV6CJj)CJEHUjg< CJUVCJ jCJU5CJmH nH  j]EHU jEHUjxg< UV jƩEHUjeg< UV jU6CJmH nH  CJmH nH 6^,a-a.a/a0a1a2a3aOaPaddd eehhekfk1l2lhoN/.L/.D$DD$C@BA,A =$/.  2@jAjXjYjZj[j\jjjkkkkCkDkUkVkWkXkdkfkkkkkkkkkkkkkk l2lblInJnanbncndnknmnȽ襜蒉超{rjCJEHUjg< CJUV6CJj(CJEHUjwg< CJUVjqCJEHUjPg< CJUV jCJU CJmH nH j_6CJEHUjn< UVj6CJU j_EHUjg< UVCJ jEHUj!i< UV jU,mnnnnnnnhoiooooo6ppqbqcqqqrrrrsssttttuuuupvqvvvvxx(x)x*x+x,xxxxxxɧɐjwg< UV5CJmH nH  j-EHUjg< UV jUjCJEHUj.n< UV6CJ6CJmH nH  CJmH nH j=CJEHUjыg< CJUVjCJEHUjg< CJUV jCJUCJ3hoppssvvxxxxyyyy1yMyiyjykylymyy^$$/.^$/.^/.]h/.V/.V$/.Q/.Q/.P/.xxxxxxxxxxxyyyyyyy-y.y/y0y1y2yIyJyKyLyMyNyeyfygyhymynyyyyyyyyyyyyyyyžřjAg< UV j*EHUj!g< UV jzEHU jEHUj;g< UV j!EHUjg< UV jqEHUjg< UV jEHUjg< UV5CJmH nH  jEHUjg< UV jU jEHU1yyyyyyyyyyPp$$l t  vX: hJ,"^$/.^$$/. yyyyyyyyyyyyyyzzzzzzz z!z"z#z$z;zz?z@zWzXzYzZz[z^z_z`zwzxzyzzz{zzzzzzzĽ jEHUj g< UV jEHUjg< UV jFEHUjg< UV jEHUjg< UV jEHUjg< UV j2EHU CJmH nH  jEHUjg< UV55CJmH nH  jU jEHU2yyyz#z?z[z^z_z{zPp$$l t  vX: hJ,"^$$/.^$/. {z}zzzzzzzzzzz^$/.^$$/. zzzzzzzzzzzzzzzzzzzzzzzz{{{{{!{#{${;{<{={>{?{@{W{X{Y{Z{[{\{s{t{u{v{w{x{{ jyEHUjlg< UV jEHUj]g< UV jEHUj!g< UV ji EHUjg< UV5 CJmH nH  j EHUjMg< UV j EHUj3g< UV jYEHUj%g< UV5CJmH nH  jU2zz{{{{!{"{#{?{`pYPPPPYYY^$$/.^$/.$$l t  vX: hJ," "{#{?{[{w{{{{{{{{{{{{{|/|2|3|O|R|T|W|Z|[|\|x|||||||||||||||||||||g}}}ҀӀ{|s12/0lmnvwIJNOŌƌ[\px { {yuo@mia_^^ W?{[{w{{{{{{{{Pp$$l t  vX: hJ,"^$/.^$$/. {{{{{{{{{{{{{{{{{{{{{{{{{{{{||||||+|,|-|.|/|2|3|4|K|L|M|N|O|Z|\|]|t|ü jY(EHUjLg< UV j%EHUjg< UV j"EHUjg< UV jA EHUjg< UV jEHUj5g< UV jEHUj0g< UV5 CJmH nH 5CJmH nH  jU j/EHUj|g< UV2{{{{{{|/|2|3|Pt$$l t  vX: hJ,"^$/.^$$/. 3|O|R|T|W|Z|[|\|x|||||^$$/.^$/. t|u|v|w|x|y||||||||||||||||||||||||||}}}}}}}}}}u~v~Ӏ㯭㯭㨢j5CJEHUjKn< UV jCJU6CJCJ 6mH nH mH nH 5 CJmH nH  j3EHUjg< UV jg0EHUj֔g< UV j-EHUjǔg< UV5CJmH nH  jU j+EHUjRg< UV3||||||||||`|YPPPPYYY^$$/.^$/.$$l t  vX: hJ," ||||||||g}PJJJ^/.$$l t  vX: hJ,"^$/.^$$/.g}}}ҀӀ{|s12/0lmnvwo/.@@ m$/.i8/.a/._/._$/. /. ^/.KL]^_`devwxy{|ŁƁ,-DE\]^_}~݂ނƿƿƿƿƿƿƿjg< UV jBEHUjg< UV j?EHUj'g< UV j<EHUjg< UV jU CJmH nH 6CJmH nH jj:CJEHUjn< UVj8CJEHUj`n< CJUV jCJU6CJCJ3./0134KLMNWXopqr26Dمڅ𧞱𔋱~vjn< UVj6CJUmH nH jWCJEHUjg< CJUVjJSCJEHUjg< CJUV jCJU6CJ CJmH nH  jPEHUjg< UV jLEHUjIg< UV jiIEHUjg< UVCJ jU jFEHU,/04aqȆɆԆՆlrׇ؇هڇۇ"#:;<=?IJͼͯͯݪݪݪ}ͪ jEfEHUjbg< UV jbEHUjn< UV j_EHUjg< UV jU6CJj1\CJEHUj Mm< CJUV jCJUCJ6CJmH nH mH nH  CJmH nH j6CJUmH nH jZ6CJEHUmH nH 0'()*JOt*+,-suyzƊNJȊɊъҊ78IJKLNOS|佹{phh6CJmH nH jNv6CJEHUjn< UVj6CJUjrCJEHUjCg< CJUVjoCJEHUjg< CJUV jCJU6CJCJjm6CJEHUmH nH jn< UVj6CJUmH nH  CJmH nH  jU jiEHUjg< UV(IJNOŌƌ[\px 8$$lF4< {$$/.{/.{/.u/.y/.u$/.o/.|‹Ë 0123IqrŌƌʌ%&=>?@ȍǼ}jCJEHUjg< CJUVjCJEHUj g< CJUVmH nH  j}EHUjg< UV jUj{6CJEHUjn< UVj6CJUjVxCJEHUjg< CJUV jCJUCJ6CJ CJmH nH .ȍɍʍˍ̍PQ׎؎َڎZEFِؐ-.abfÑ;<ⶭ✑Ӎ6CJjϒ6CJEHUj!n< UVj6CJUjCJEHUjg< CJUVjCJEHUj?g< CJUV6CJmH nH  CJmH nH CJ jCJUjCJEHUjg< CJUV7EFzِؐ-.a $/. $/. |8 $/. $/. ?6 $/. $/. 8 $/. $/. 7 $/. $/.EFzِؐ-.ab9:_yzВ &'(D`a}~ԓՓ֓01ڠ7@{{         Qab9:_yzВ:$$l4F4<` {$/. $/. $/. 8<`ayz{̒͒ΒϒВђ "#$%&'()@ABü j?EHUj"i< UV j3EHUjg< UV jEHUjg< UV jEHUjgg< UV jEHUj g< UV j,EHUjg< UV j۔EHUjg< UV jUCJ6CJmH nH  CJmH nH 2 &'(D`a}~ԓՓ֓\\ {$/.:$$l4F4< BCDE\]^_`abyz{|}~ГѓғӓԓՓ֓ד » CJmH nH  jƽEHUj[#i< UV jEHUjF#i< UV jhEHUjKm< UV j\EHUjKm< UV jEHUj"#i< UV jѮEHUjKm< UV jEHUj1Km< UVCJ jU5010 t`$0 t`$h t` /. 7{/.Ӕʕ˕UVmnoptu~tkjzCJEHUjg< CJUVjCJEHUj|g< CJUVjCJEHUj>g< CJUVjzCJEHUj g< CJUVjCJEHUjg< CJUV jtEHUjLm< UV jUjCJEHUjMg< CJUV jCJUCJ6CJ* $%&'12IJKL[\stuvz{ǘȘ1Dżzrjun< UVj6CJUmH nH 6CJmH nH  CJmH nH j8CJEHUjg< CJUVjCJEHUjxg< CJUVjQCJEHUjPg< CJUVjCJEHUjg< CJUVjCJEHUjg< CJUVCJ jCJU*ܙݙ'()*՛֛œÜĜŜɜʜ*+<=>?st;ݷݷ݃{nݷejVCJEHUj@CJEHUmH nH jn< UVjCJUmH nH jCJEHUjXg< CJUVjCJEHUjIg< CJUVCJ jCJUj6CJEHUmH nH jGn< UV6CJmH nH  CJmH nH j6CJUmH nH j6CJEHUmH nH 'B`qÞ,*,H^wyޡߡ"7&;{¤ۥ<=>BCƿ jUU jEHUjg< UV jU6CJmH nH  CJmH nH jCJEHUjg< CJUVCJ jCJU6ڠ7yԢjɥ;<=?@ABC=</./.@$0 t`7yԢjɥ;<=?BC= 1h/ =!"#$%Dd@B  S A? 2\(F7+ͼ8D`!0(F7+ͼR xcdd`` @c112BYLGc `"@b.s;1MDl3: APQUCSPB1#0y-!q|‚X(2yd t!T }8^'׹y'pIR||&f7 TY3#{G<gxV}ט0Dd$ B  S A? 2*Nv`!NvxkA$iMڃX5*m1œ 5LZISw+͞x0B^{0'^ " J㛙4.y373e ^QBlF!3w:~Dkk`S@  /9^F٣̯͘x77$VB)í!^n8Jo>vg|(fVQ^zm5ߧ 83r~?m Rn⿳1d|!$#AD )4#|U[ _+Kвw 0: `Y ԱIdM0+}AﮤRqkdf^1*$cFWIGs'$ܠLeȎDޛ;lݒNMXT>t_R2NTVy3B@G Y~ 1!8ˉFHiD0L؄X-&Jf'><[rP?7PgHMj*0}!IYLh+oPgk0a?ޛ _矏X @AL[x:'Hٷs\pZEAw|u8N471@`VuA?أQ #!ˢ?՞> ~ PtU,UgEy۵{?^ad9vjLٖʉvh,M3ػnu"f Y-$rTe `Y 6ecM|vEmLGz,Pw_3߀(%wu8B|Dd<  C A2IUO%YS}q?`!IUO%YS}q?` xڕToA~3ZH V$ѴMx[ V#7uSI] ]/611 <ֿo^/hbI⛙]7o{d8?@ABCDEFGHIJKLMNOPQRSTUVWXYZ[\]^_`abcdefghijklmnopqrstuvwxyz{|}~L56Root EntryPR Fsr/ ^@!DataOEBELNT WordDocument"0ObjectPooleH ^_1013848328 FhH0pHOle CompObj\ObjInfo !"#$()*+,012347:;<=>BCDEFILPQRSWXYZ]`chknsx} FMathType Equation Equation Equation9q< s x FMathType Equation Equation Equation9qOle10Native@_1013848336 F`H@HOle CompObj \ObjInfo Ole10Native @_1013848306F‘H0HOlew ( < s y FMathType 4.0 Equation MathType EFEquation.DSMT49qfd%MU2G(DSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!/ED/APCompObj iObjInfo Equation Native _1013848373 tF09HSHG_APAPAE%B_AC_AE*_HA@AHA*_D_E_E_A  Y"-M y ==r s x s y X"-M x () FMathType 4.0 Equation MathType EFEquation.DSMT49qOle CompObjiObjInfoEquation Native fd%MU2GDSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!/ED/APG_APAPAE%B_AC_AE*_HA@AHA*_D_E_E_A  Y"-M y ==r s y s x X"-M x ()_1013445709FЙZZOle ObjInfoEquation Native  @ DSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!/ED/APG_APAPAE%B_AC_AE*_HA@AHA*_D_E_E_A   s 2 r 2 1K, DSMT4WinAllBasicCodePages_1013795990F[P[Ole %ObjInfo&Equation Native 'HTimes New RomanSymbolCourier NewMT Extra!/ED/APG_APAPAE%B_AC_AE*_HA@AHA*_D_E_E_A   s 2 1"-r() 2 N"-2@1 DSMT4WinAllBasicCodePages_1013445807e"Fp)%[6([Ole -ObjInfo!#.Equation Native /MTimes New RomanSymbolCourier NewMT Extra!/ED/APG_APAPAE%B_AC_AE*_HA@AHA*_D_E_E_A   r 2 N"-2()1"-r 2 . FMathType 4.0 Equation MathType EFEquation.DSMT49q_1013848593 Z<=pExSt8&FH0HpൻwwOleX(4< 45CompObjStp(@0x'x\ZWT%'46ixpObjInfoww(H(`Hww8f,%MU2GDSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!/ED/APG_APAPAE%B_AC_AE*_HA@AHA*_D_E_E_A   s 2 1"-r 2 ()N"-2Equation Native 9H_101341014226+FJIeIOle ?ObjInfo*,@@) DSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!/ED/APG_APAPAE%B_AC_AE*_HA@AHA*_D_E_E_A  s 2 == @x 2 " N"-rEquation Native AE_1013846475/ F )I0IOle GCompObj.0H\ FMathType Equation Equation Equation9q\ N-r=2-1=1@  DSMT4WinAllBasicCodePagesObjInfo1JOle10NativeK`_10134100764F`}>I@CIOle MObjInfo35NEquation Native O)_10134102098F SInXIOle TTimes New RomanSymbolCourier NewMT Extra!/ED/APG_APAPAE%B_AC_AE*_HA@AHA*_D_E_E_A  x 2 ++y 2 ==25.@ DSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!/ED/APObjInfo79UEquation Native V$_1013846522-?< F6iIpIOle [G_APAPAE%B_AC_AE*_HA@AHA*_D_E_E_A  x 2 ++y 2 ==25 FMathType Equation Equation Equation9q\ N-r=2-2=0CompObj;=\\ObjInfo>^Ole10Native_`_1013846571A FǁIiI FMathType Equation Equation Equation9q< x+y+z=c FMathType Equation Equation Ole aCompObj@Bb\ObjInfoCdOle10Nativee@_1013846598}F FPIpLIOle fCompObjEGg\ObjInfoHiEquation9q\ x-y-z=10 FMathType Equation Equation Equation9qOle10Nativej`_1013846620K FPI/IOle lCompObjJLm\ObjInfoMoOle10Nativep@_1013846627ISP FIЙIOle q< x=7 FMathType Equation Equation Equation9q< y=9 FMathType Equation Equation CompObjOQr\ObjInfoRtOle10Nativeu@_1013846637U F I@IOle0Native vCompObj36TV Fw\ObjInfoWyOle10Nativez@Equation9q< -12 FMathType Equation Equation Equation9q< x-y-z=c_1013846644NjZ F_II iOlenfo {CompObjNativeY[|\ObjInfo73\F~Ole10NativeF@_1013846692_ F6J`J-Olenfo CompObjNative^`\ FMathType Equation Equation Equation9q\ N-r=3-1=2.()ObjInfoNativeaOle10NativeF`_1013410460)dF@#J)J?Olenfo ObjInfoceEquation Native <_1013410503hFVK K_`Ole846571  F@  DSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!/ED/APG_APAPAE%B_AC_AE*_HA@AHA*_D_E_E_A  x 2 ++y 2 ++z 2 ==k@ DSMT4WinAllBasicCodePagesObjInfo gi Equation Native)*+,-./0 56789@_1013846715GHIJKLMNOP]l F.VJ]J^_`Oledefghijklmnop uvwxyTimes New RomanSymbolCourier NewMT Extra!/ED/APG_APAPAE%B_AC_AE*_HA@AHA*_D_E_E_A   k  . FMathType Equation Equation Equation9q\ N-r=3-1=2CompObjivekm\ObjInfo20n FOle10Native`_1013846762q FPmJ,sJm\ FMathType Equation Equation Equation9q\ N-r=3-2=1tBarOver=1ptFractBarThick=0OleObj CompObjpr\ObjInfoivesOle10Native F`_1013849010ive$v FJpJOle0Native FCompObj60uwF\ObjInfox FMathType Equation Equation Equation9q< N-1; DSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!/ED/APOle10NativeF@_10135219041D{FPJJOlenfo ObjInfoNativez|Equation Native  _1013846871iveX FJ JO)Ole410209 FCompObj~\G_APAPAE%B_AC_AE*_HA@AHA*_D_E_E_A  @X  " ==c, FMathType Equation Equation Equation9q< N-1ObjInfoOle10Nativeve@_1013411051fFXJJOle @ DSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!/ED/APG_APAPAE%B_AC_AE*_HA@AHA*_D_E_E_A  @X"-M()  "  2 ==k,ObjInfo44 FEquation Native ;_1013846835iveo FKK|\Olenfo73 FCompObj\ObjInfoiveOle10NativeF@_1013846849 FPD5K^;KM FMathType Equation Equation Equation9q< N-r FMathType Equation Equation Equation9qOlenfoNative CompObjiveF\ObjInfo60FOle10Native@< N-r@S DSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!/ED/APG_APAPAE%B_AC_AE*_HA@AHA*_D_E_E_A  X 1 "-m==x 1 , X 2 _1013411625iveFPMKSK9HOle410142 FObjInfoEquation Native o"-m==x 2 ,@! DSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!/ED/APG_APAPAE%B_AC_AE*_HA@AHA*_D_E_E_A  X 1 ,X 2 ,...X N_1013411690bFgK2lK iOlenfo ObjInfoNativeEquation Native F=_1013411922 F|K@=K Oleion Native)*+,-./0 56789@ObjInfo15GHIJKLMNOP F`Equation Nativeijklmnop uvwxy@ DSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!/ED/APG_APAPAE%B_AC_AE*_HA@AHA*_D_E_E_A  X 1 "-m()++X 2 "-m()++...++X N "-m()==NM"-m(),@ DSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!/ED/APG_APAPAE%B_AC_AE*_HA@AHA*_D_E_E_A  @X  " ==_1013411958F KKOleObj ObjInfoiveEquation Native  FNM, FMathType Equation Equation Equation9q< N-1_1013846920 FPL,LOleion Native CompObj35ive F\ObjInfo73FOle10NativeveF@_1013522007FK@KOlenfo ObjInfoNativeEquation Native _1013412174FNKiKp@Ole846627  FObjInfo; DSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!/ED/APG_APAPAE%B_AC_AE*_HA@AHA*_D_E_E_A  X 1 "-m()==X 2 "-m()==X 3 "-m()==...==X N "-m()==M"-m@ DSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!/ED/APG_APAPAE%B_AC_AE*_HA@AHA*_D_E_E_A  @X  " ==NMEquation Native F _1013412235FLP"L-Olenfo ObjInfoNative@ DSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!/ED/APG_APAPAE%B_AC_AE*_HA@AHA*_D_E_E_A  M"-m.@ DSMT4WinAllBasicCodePagesEquation Native   _1013412671ive)*+,-./0FЙ@L:HL@Ole846715GHIJKLMNOP  F`ObjInfofghijklmnopuvwxyEquation Native  F_1013412725iveF 8\LRbLOleObj35ive  FObjInfo73F     !"#'()*-34567;<=>?@DEFGHLMNOPQUVWX\]^bcdefghijklmnrstuvz{|Times New RomanSymbolCourier NewMT Extra!/ED/APG_APAPAE%B_AC_AE*_HA@AHA*_D_E_E_A   OS 2 ==X 1 "-m() 2 ++X 2 "-m() 2 ++...++X N "-m() 2  OA 2 ==NM"-m() 2  OS 2 == OA 2 ++ AS 2  AS 2 ==@X"-m() 2 " "-NM"-m() 2 ==@X 2 " "-NM 2 ==Ns 2@  DSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!/ED/APG_APAPAE%B_AC_AE*_HA@AHA*_D_E_E_A  OA==M"-m() N Equation Native F%_1013412756F`wL}L-Olenfo ObjInfoNative@ DSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!/ED/APG_APAPAE%B_AC_AE*_HA@AHA*_D_E_E_A  AS==s N  .Equation Native  _1013412785F`L3LOle ObjInfoEquation Native  _1013412817iveF LLO)Ole410209 F$ObjInfo%@ DSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!/ED/APG_APAPAE%B_AC_AE*_HA@AHA*_D_E_E_A   OAOS@ DSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!/ED/AP      !"#$%&'()*+,-./01234789:;<=>?@ABCEDGFHIJKMNmOPQRTSUVWXYZ[]\^_`abcdefgihjlknopqrstuwvxyz{|~}Yt;>1ZR X2E,@Ufc77`c9B%1Sާ-zGv=zS75#Q:fmz^JwjC&ɘDp$@@_5r-*8Nq2[GIpqy^q?:>ydY:;܆~$Jɼ,l%EUrQ:c:XƳw$:܁}oom+9W.Tn xPQQm=Jm̀gR{T+zz]$DB%m5|gWܚZ"U"aumTEYJuq:6+\5oA(6\(%k0@kdgio)tٖ_b0IJWq c${M Vuqs.Gǭ$˦֚-a;"^$<Dd`<  C A28C7 iA`!8C7 iA@X xڝTkA~3&FB$xMEL&Eku)HłƓ'=xCA<(BlI"k2oͼ}ofS7/vJ%9k.Imk;B4ѢOm0 >|E*ja%QY@?^sZRqYHkO?:@B-q\ %5c?z|oyS'}o7 eDgv4&](hg"[ZcCpOZт։h6;`HN<Ԋœ#rY9PIxv<1{Y9P#1ޒб#98 `PFE(yfeA%wܕG6%[)<'/8:I۾UIll$˖nvz}ڪ4hւw\{Y#aO=nUesWsZ4jE-pYY#g\2kDC?gT֍ItRVrrBa态ȃQߞsv  p3,./cqB[K' 8mׅٮcvy X:bn5;臗6}bbDd<  C A2Y?g%UIDD5`!-?g%UIDD~@  dxڍϋPg6-$z E]Zzִ J]BHR=)xR o z?Ë(q{RH>y3B@G Y~ 1!8ˉFHiD0L؄X-&Jf'><[rP?7PgHMj*0}!IYLh+oPgk0a?ޛ _矏X @AL[x:'Hٷs\pZEAw|u8N471@`VuA?أQ #!ˢ?՞> ~ PtU,UgEy۵{?^ad9vjLٖʉvh,M3ػnu"f Y-$rTe `Y 6ecM|vEmLGz,Pw_3߀(%wu8BDdB   S A? 2  hxm'`!  hxm'` xToA~ovEDD6⡉n!XhIQ7Y0&M ЫֿoG/j57,d7{{ߛ^pgBs\٫>f{ٮ@ f!H3o ?X˲C|Pl?FDx3O"AЮݭWe֍V?Z| 8Y6H* f< ״Q<(c 1C1) lLWlU0ۜ 냓|ֈVt^+ 'f僠 L&,=LݿBf#IL%|ZRR$Gr;0ʁu|d{QOBJӕtGɜ4ZhMߑHk\Ann.Kūt>oWvjuܨKkրkT{H2 RGzE"l1y \\tj `dKFwD(H1KFW̬RdXJ2ԀI2jT(H p3 Lu$ VN]˧8ㆠ0؟{i1ᦘ`r|E*ja%QY@?^sZRqYHkO?:@B-q\ %5c?z|oyS'}o7 eDgv4&](hg"[ZcCpOZт։h6;`HN<Ԋœ#rY9PIxv<1{Y9P#1ޒб#98 `PFE(yfeA%wܕG6%[)<'/8:I۾UIll$˖nvz}ڪ4hւw\{Y#aO=nUesWsZ4jE-pYY#g\2kDC?gT֍ItRVrrBa态ȃQߞsv  p3,./cqB[K' 8mׅٮcvy X:bn5;臗6}bbkDdt<   C A  2:E 0:EE`!:E 0:EEN @ }xڕTkA~3ilzƀX z fMǘR#I$ XK{)^7ECE㛝$η̼!0 ^S _JzDNNQORBt^ @z ACI|?)?zV~ȖGJ1^g]qBQhsS 0_4/ZR3HhFnk(l|i~XE}!| r'oo{"ǍM bSgW,8Vxd|t&8>X=7!g>KY R"Eݹ C쌯2(p`lߑ9X-&ud]ݑw׸gJ[nw\%^w,.^$2wI+w*+z:_*RFlXGw1lrĬ&WBP#V,cNtszKzӈOt393_BR|d҂q$I- gKRPdԊ@o q,Uz \K: ւ< 9 k9>!4^ n~H9ϑn;жFMol:ݬ a9J7Dd@B   S A ?  2DՓvaS}"`!uDՓvaSr pRCxcdd``dd``baV d,F1J@YL0upYF.> KA? p&0rCx|K2B* R7S?&t@Hfnj_jBP~nbCp ˷r30p1`W voQT ;6Ma`%4fL@ؕ"A"H"lj88`j q#d~VF" C$9N4F"v0o8f+KRsʷ3t1\CoaCDdh<   C A  2m փ*PhI-%`!A փ*Ph@e |xڍSAkA$I6$ EcA 1mX`R<.k@Ҕ$IQ%_C~/eg{of 1 G!Db<+`zb[eF$V1aXBWFEv%PvzOjޑ TT'$(|hO6VR@h]n9?8 ݈¼IIGqJo6fnh3aƔiLo:&L4g}3ϴ@Izn;pNO}Y3f9 zBӞ] M-`~l6nc~V61 Γ֊ۑNZ:ߚ kX0+~*y6+߮\f|)i·kpfJ4u{-00m5 B+ A5dy^ťC8J ~Ebgeg?/rZ{-o?aWaҕ":U eu{n ZaUuM|C*7IDdh<  C A  2_6l/>갱0WrcE;*(`!36l/>갱0WrcE@x |xڍSAkAl6i6ll=EcA Z !m,H0)êkHI"INF)^֟VK~@*^\ uͼyYB> B_A"+t.kDM("-6,z@(S@ 1*~GdG f׌Il̸Y| /5,2|,_ -$Y^c9-k)N BQvwHAFyX~>:-{~\=q3@V_ԘdryX}o[Yꞙ۲?\f|1czZc2:]z'7qEx뚊 f7Dd|B  S A ? 2N:HZ|z'"9}+`!uN:HZ|z'"9r` RCxcdd``dd``baV d,F1J@YL0upY.> KA? r< %! Hv\a n:T $37X/\!(?71!m;YXt~c0r``ddr*`vW&00cRG? uJp [$a6t5.05XC~n2?+p vt"NP #\؂Xq;3LLJ% 6iA`! mba$DdB  S A? 2YXXTCpjP-`!bYXXTCp H0xcdd``ffd``baV d,F1J@YL0upY ,56~! 8@:#7T7$# !~35;a-@ d++&1w-|%+M.2]b}@:+*WED 9IAw@wW&00e:t >`{\>Ѯ `F pAC 0H-F&&\լi_A`ذ O0Dd<,B  S A? 2v}E2hXbNvt/`!nv}E2hXbNP` <xcdd```d``baV d,F1J@YL0upY |@? @+p`0&dT20 ro`1LPbr<ߗcg`b`**ˁчr\J$i, ʩ\ h#Va+#d ݺ""} [ 9"(q1b;LLJ% i ] ;؀r06o+_Dd0B  S A? 2z7yz8o^=XSV1`!N7yz8o^=XSkRxcdd``ffd``baV d,F1J@YL0upYf> KA? r< %! Hv\a n:T $37X/\!(?71!m{XXt~c0r`a鬨\a" aM,,He`@L cv С! ~ Ay o//_ʕT T cHge M Ma`4 f"0L@29&L&,dBLf< j A=bdbR ,.Ie(ǚ (cVzDdB  S A? 2m&0ݺh`g I5`!A&0ݺh`g xtRxmOJQ=3&&bւn>\#$lRlR^pϼΜChg5 \#&OwV+g?vxF ^vh `][>v`w4= !>xpM*yz8>^ع|bOoA ܴ٦-j/(4M&^EttFR2wI NK^fwꊘ|2MRd}Wp=_E%DdB  S A? 2Tutk͆,gk7`!cTutk͆,g 1xcdd``ffd``baV d,F1J@YL0upY ,56~! 80rCx|K2B* R7S?&t@Hfnj_jBP~nbCp ru00p1`YQ.R vo%4HUT6H2P ;#27)?k 0ww0HqD2\]$b ႆ8au;ZLLJ% XӢA`ذ-MkDdhB  S A?  2pzp1{G`!pzp1{G` @|wxK@ǿGR898lu\tAJiVۊQ g!>~i 6$aěf~Ĉ뺑lf:#f2kS"OLclX; 0ePm v! 蝍>1+/hg\ʹs=E~ڷ>tEYQrgd3&!F[>Pk[HkEMȟd)Dhk~ߙg&[,r' GII!2NKR ]oz~Um| %-DDjERս u;m!S H!~?D:lȊ7bB<2 Ӱr--}ġ u+ٮ= I|(b?%\ʅhFܤG DLxH ̱%{k@יGM&{4Z۔$*hV3-&UU5vMm6]_~~"n| U&+ ڀ*s5c;'rp_p&_ vkn |ܪFJϝ~~ή\sUZ҉TXItZ.oB/l˼إ_2>m 0̜TBВetB ?L 7+d0$2#^x/?B[aOǶp8ZuDB/ eGpWqRӗ<:DdTB  S A? 2ŎI%C#`(  #`!xŎI%C#`( r RFxcdd``dd``baV d,F1J@YL0upYF.> KA? p&0rCx|K2B* R7S?&t@Hfnj_jBP~nbCp ˧rme`b`**ˁ1ӯ&rޢʩvm\p h>a#d +u+/E2DlD~S= 0Me\y. $b$" 1pAc [!.``cI)$5Kfv.F+؀r06z1=g 8DdTB  S A? 2JO-~w%l4~F%`!vJO-~w%l4r RDxcdd``dd``baV d,F1J@YL0upYF.> KA? p&0rCx|K2B* R7S?&t@Hfnj_jBP~nbCp wrY00p1`W voQT ;6Mb2G? uJp [$߬jt8`j- q#d~]ƕ" #$'N!P #\؂Xq;3LLJ% XA`! :bDdDB  S A? 2|HBdK^CFN!lHX~'`!PHBdK^CFN!lHRxcdd``ffd``baV d,F1J@YL0upY|@? @'0'0rCx|K2B* R7S?&t@Hfnj_jBP~nbCp ׳qE00p1`WȈn"4'TF)`!>ls>4'T ~ h xڅSA@ftl%aѺe(f۰X){ 1ƵnKS=Y,x?A͓= ^(+h}3Ml-+ ˼y{ߛy@%h$Uv6ٻSO#sEB30a8v SBr*}T-̋|\5%BGKWLVoaN./Fw-CcW4iu]4E>'w_;LoLmQQK׼jT-bR7`f1qP4>N~_$7u禶R\,ޫڍƺbAPv6EKIbqtZ'ݎGrBv%6 ׮|?FėK4 x݌rgM[rX ¤iiHmH:bc;:VR( хMMLWnݹ څ?GlZ<pߜsk.8= .X 1l6Ndy[;^s.B`44RxCS^H2.x'tb?(sIDhRࡢqkT`OcnQALvkME޻ؿ1lB eEiJ7~98">9،jsl/1;8)6[`x/oCµ\.Ә'gW]뗍a GtX`4~ÿj1W{rݒw[}g{ii)X<ίB+3R~YKԊƯJQ&%d&جsu;=ǧe1'}:X U_"|1 +]B2Ez(&,>/<0? DEUB<$Jdt8F"IВG?xD&w"VQ(ڭh{׽`pCn/.6+UtnPY0 Ddh<  C A2x%R0PsC ؆TDQ`!L%R0PsC ؆@|xڅRAkQm6m7ݴZ=&тFI)a&$)qO^K )ғ'={-xET8o% a̛o a 0Rt>H!~?D:lȊ7bB<2 Ӱr--}ġ u+ٮ= I|(b?%\ʅhFܤG DLxH ̱%{k@יGM&{4Z۔$*hV3-&UU5vMm6]_~~"n| U&+ ڀ*s5c;'rp_p&_ vkn |ܪFJϝ~~ή\sUZ҉TXItZ.oB/l˼إ_2>m 0̜TBВetB ?L 7+d0$2#^x/?B[aOǶp8ZuDB/ eGpWqRӗ<DdXB  S A? 2pZ pLLT`!DZ pRxe?KAl )ⰰZ0"?1c+ocRD{uvrA}3u z؀_˲U9M06i*j+n?SUo2 Y`xG\~1ܩ18eEr8ʇHoފY d+Ò f/{(ﵽP0R.$wlZ`Az~,e><꽢QASfjǓ,GI[XzADs!ߕBkDdXB  S A? 2pZ pLRV`!DZ pRxe?KAl )ⰰZ0"?1c+ocRD{uvrA}3u z؀_˲U9M06i*j+n?SUo2 Y`xG\~1ܩ18eEr8ʇHoފY d+Ò f/{(ﵽP0R.$wlZ`Az~,e><꽢QASfjǓ,GI[XzADs!ߕBk9Dd T<  C A2&R3[E\%6XX`!}&R3[E\%6n@ XJKxڍSoAfvYhHt%C+I@l"4/hז-0#11x2Oz07-"I;{ <P猍@ly4>sKyu0iXDf> _>S(ʏLl +̋z\˳<<[& G _vqnNq/?ZThPXϑk"Ib8Wj 9WY9 'e#Fk>(cj' ؔBЮszµb+qJ @*zwgBUo*K|PgR3"EDTkXl|WrLL2[YlduwtWhWA5Y}R/u'7fHujZ5n@c_/pUa IaiwtrfM投ҮLϨӠ0ҩ@vVMzQ "ƨs Z Ge_q'@0~] fSqkNl)/ҟ8' J oI ө7NfmO;z12$ӇFw'4Og}E?_z'%qEN,=w;bG'lN#Y0P]rr1ɉt/NOuO3bCv.CmnSD*Eg}RߵZ,zk;^d o>m5Xoj׽T"1Ut^]1d KV7U=Ʒ /*#K1TuUXjj8WBVb]^e\.pKd~cGK(|G>jՉzMBzMRbG oT'GY7“)?LDd<  C A2cWAZZ4A?^`!7WAZZ4AlP.hxڕMLQ.t[0 PZBCLY@7xe3؟F?Yج]M44^H&/s_ Gp<86xq8^ur8'Lp9{sϺLplrpFJEi'TOPM\K&b Pf!W5؇7IRRɓm%*HeDVUa=ghfaJBtDƳ <iȈGjؑH$5%"[kl`2cbM6%$f]:kƗªnG\ 6 8cZ:Vۮl&0QТ n eRj}w-MX%I8V t`lDd<  C A2ma`k#ڀIb`!Aa`k#ڀe hxڅSAkAliZ=EcE@b7IE%ZISHɠTK ?? G(Ao&1ξo{|o=C)BDb4)tNkE]QDB]Kb#0ye apb+yPʲ NWt;RKRF~;URQC5 xEpŐA2t-}N侥&epPb¡)[hZ;BIrqYԥ24bD3j5*ß(5s@mmoeHVր=^ߨkws{~a鳕4k>ltŠӪr̟8|.fg9dFL8A jeMv{N ; AXՐ\W5z->:&bϬClȲ .boewnZ+o"ު?Wʽvo?dToZDdDB  S A? 2{q8=\We`!Oq8=\Rxcdd``ffd``baV d,F1J@YL0upY|@? @'0'0rCx|K2B* R7S?&t@Hfnj_jBP~nbCp ˙ٸlXt~c0r``ddD7lܤ_\^@`&$Oݤ[yí jVɌpC԰P $!1b;ZLLJ% ei ] ؀r06?ASDd@<  C A2^oږuy:g`!2oږuy"4hxڥOAl[j$bH(x%qCP)!DnM(%=I⥞LaHz 1z6$Dg@bB}miW};o;%``% {6JH"P(*FZpy f. w&p*/8ݍfg4#ǣjy8}XS.KpH69-md">Mnex7@GVT+W١VJlb([X5-p}Ϗ[86h8q|h%plGP;)jx P/+Hja-~#OCǶ@\yRTZ&W[JV&dFsXn8LNL6Ng3ԦbFhcxᅼ&ric&zb ktX/X}V{CMX{B 񮻟x{ TۤJH|t3`H8z fbZӉ[mm$>mfumԽل6/[ GCf㸟;{ݥ ԑݳg> zC˥)һbzΘ燃h]`,8 &P<0M3Ȃð1p⃥^L)+y;"° a8tKxCF+ (o/z"̺|g^Q2^+b3Ϟ5Dd<  C A2Zh2\R9pB6k`!.h2\R9pB( hxuRjQ=LcƊ. @Ibwc $MI"1+7q@`7~Bq%P42Ӗԟ^U6i\'JtlET'S'@I%%E-}J+=GϾDd@<   C A2I;8Il@Ć%in`!;8Il@Ćp(+ xڅRMkQ=Lj*EcI:Mt$N@$%JiDM ]ڵ?Ef{ }=s}0 h C JxPn$gwvNL<❾h9cacy|)8e׹U^=@UJ>!UC} oIވNa?jE!j> 0B(k kt :ndܤ4u A8O?LASQJ']P48_G5?O0K NtO˭ݰ$Qna[^"{+WQeթƶuwod|rx34#7.H})ߍt,q$xp1Ԡr5eqj~('Z$p\B/eTEkcFNT3RmzyoH4w< ʨ:DdX< ! C A 2Id zu6l)%Bq`!d zu6l)~! 4 7xڥMlE޵TM "JjّWEIhj;Nc *q$'A!8DTJrG\PŁ "H:_M0YۛMk,ٙ{^#~DZ0Be C͊3W^~~Z.?!-ԾGX;G^:3i졭O?MAUCլS afILW8.PkKjÿbSD!/75 0߼l_oϲst 0y{巪}o7htWixm4hǐc_!& gYiG ]W]*.h푉.5[Ėq¶l.ζJ eomYo9ݓ=.q4eI\v2l˰ɱlp<6qD0P"D hٔY(^qӁD}α>GGZ>[!u1ޔƼaC I=!LBE:G|؛ U=kZ_= clڨvvh8l*gۮ&ub*iUpưl\Z1wP} hփޗL7n]Ue㉱mDd0< " C A!2qC͆zw`!qC͆z HxڅToAo-r4RQFh#AP(j(^1=Ƀ'COL<4:Xsh@M>m]4umYѲl'%p3 =w0^eԫdG%.CuRuxolyA{ S(pҨoKm ±./Ba(;B#|9s9({>3#j娡QѺ>DB"O9]!T‚l6\<.Vbq&W-܏Qd3xJR0*bD&__.yNO_?N$`ͳfc&K(7'sfCJi~2G@ftdDH' =)1Tϧ`Vdm3!$z%8="!'IW\Mw{pSq?T1 WZrM׫kFʆPl[R/cDDdth< # C A "2:=_ AqHz`!:=_ AqH  @ |VxڅSAkQyvn"IQC)&EM nJ[QK$d#1(FDߐR?GETqK}o>fvy3a@@ J!Jl0x(Ǥ<ZlaiM:Ea C4[kXzX<0A][1>f./%/݀uZОDσ_|=$(aoc_Ư|{ *:_ƻ&E$g}m-.QD?.kʐ{ƹ?~i{rbt uev5{* ԱÏIQ=]Qv@ErɚEruͨ-z?x`@\3ljYq/%rO[M&p\3n,P6O |4jsϺ2X4#D/ΔݞI|H)g9W|F4T2ZtHP@$!U R2u 4E@=Q3=Ҫrb`ӳSn͎Ӳ hkyP<uߵIDdl< $ C A!#2,dvŹPݨC?}`!dvŹPݨC?xڕR;OPuDC耄J@DĂ@i-GJ3DEbA) NXy*{m@0q{ι Àe@]iq"xߗhG/<8"ix0"3Z}QTDo:?iGZgr} nԏۧ~ln^Agw z\+%YnDJ͞Nu^!SQˆTP8Z &24uz] -sٳw4mN8Equation Native  F&_1013849071ive FoL0L;Ole846835ive  F+CompObj73F,\G_APAPAE%B_AC_AE*_HA@AHA*_D_E_E_A   M"-ms FMathType Equation Equation Equation9q< N-2ObjInfoiveveF.Ole10NativeF/@_1013522288FlMMOlenfoNative 0;U DSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!/ED/APG_APAPAE%B_AC_AE*_HA@AHA*_D_E_E_A  y==C 1 e "-  x 2 2s 2 ()ObjInfo28 F1Equation Native 2q_1013522324F F0H-Qo6QOle ObjInfo=?Equation Native G_APAPAE%B_AC_AE*_HA@AHA*_D_E_E_A  A 3@ DSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!/ED/APG_APAPAE%B_AC_AE*_HA@AHA*_D_E_E_A  A 2_1013440033 Z<=pExSt8BF`YQ@C^QwOleion Native4< 4ObjInfo16(@0x'x\ZWTACFxpEquation Native(H `Hww_1013440065FF oQ&uQOlenfo  ObjInfoNativeEG!Equation Native F"@ DSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!/ED/APG_APAPAE%B_AC_AE*_HA@AHA*_D_E_E_A  A 3_1013420827ive0PJF QQOle0Native F&ObjInfo60IKF'Equation Native (@ DSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!/ED/APG_APAPAE%B_AC_AE*_HA@AHA*_D_E_E_A  B 1@ DSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!/ED/AP_1013420973NFQQOlenfo ,ObjInfoNativeMO-Equation Native F.G_APAPAE%B_AC_AE*_HA@AHA*_D_E_E_A  f 11@ DSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!/ED/APG_APAPAE%B_AC_AE*_HA@AHA*_D_E_E_A  f 12_1013421029LTRFoQQOle 2ObjInfoQS3Equation Native 4_1013421045VF_Q0zQOle 8ObjInfoUW9Equation Native :@ DSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!/ED/APG_APAPAE%B_AC_AE*_HA@AHA*_D_E_E_A  f 13_1013421317 Z<=pExSt8`<ZF0 RPRwOleion Native4< 4>ObjInfo16(@0x'x\ZWTY[F?xpEquation Native(H `Hww@]@ DSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!/ED/APG_APAPAE%B_AC_AE*_HA@AHA*_D_E_E_A  B 2@ DSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!/ED/AP+(R2A\G B`!:>+(R2A\G (+xڕRkPe:àeoK#vx[BJSLA=zr„v&E$]}bX!4B.g,EO&.ө ϴ<(CN+4g,& KH>ݻVWjUvZ`?(^IeNƨ$IPPUhArDe[ O%oTZ0ʷav/h2u }UC:IOw~-}M3cs~#rtٚ Qx(߽?^>p93|3mUg\_e^sO6b'!ˬg+FÉY(DdDB $ S A? $2{q8=\Wad`!Oq8=\Rxcdd``ffd``baV d,F1J@YL0upY|@? @'0'0rCx|K2B* R7S?&t@Hfnj_jBP~nbCp ˙ٸlXt~c0r``ddD7lܤ_\^@`&$Oݤ[yí jVɌpC԰P $!1b;ZLLJ% ei ] ؀r06?ASDdDB % S A? %2{q8=\Wrf`!Oq8=\Rxcdd``ffd``baV d,F1J@YL0upY|@? @'0'0rCx|K2B* R7S?&t@Hfnj_jBP~nbCp ˙ٸlXt~c0r``ddD7lܤ_\^@`&$Oݤ[yí jVɌpC԰P $!1b;ZLLJ% ei ] ؀r06?ASDdlB  S A? &2|-k  <Xh`!P-k  <Rxcdd``ffd``baV d,F1J@YL0upY|@? @/`N`0&dT20( ro`1LPbr<ߗ/ge`b`**ˁ1ӯDy@+ss&q{M#LdL>vne 2vk[!&3M Q@5P `m `ph121)W2OgK[ (cUDd(l< & C A!'2;A5kOSJY$wJj`!A5kOSJY$wJ@ xڝUkA~o&@Vbh-m4 L7K $4vOj+xK=j?Aԋ㛝muI2߾7}{3Ah +  FȪժzmgϜ{ϣ-턎{Um"xoxFL~{V&3m )ZUO"~Tj'4Up3]WBVQfP:WKKlJoj@Ƀ*D12w' W=Y]8V"9SjmqD1~웃tۋ9C:]x[ρu 61rD5ti#r# wVEkS(\/ Rf&O< VeUV!Q]w{l8wTϿ"Oݼ/wxlny<+;7\׿bTYtNL&hXj"}ΣX>?-nċ7dvR/AX%anWV;9}Z8!HGs3Y:+[%c} bɟG LF(0qlY4'ƴ)>`I2zH8X먊,t.8yӱ,KA%Na"BںzxF eY0k$OvkF.u>r-0prhƆLb <%nJxܯ$ݩdz쇉qsA5 .*c %gNQM]N)h,N`_s;Bc78v僾hVPhakq2B5>hy \ k-YP\^h9-뗺=};u,eIr3Ζ[3a={goj3xb 1ݮ-skEXFt%3) H1 MqG'6F ԝuҒ@(4.ą va+1D<@73s9?`2D!YǶezX_ihA [z@B!/gVn7 D_/Oe9UV 8sn&G?%-B7kQ T5vٍi6{PxڝVKLQ7i VM4H-RB,ĝChM7$Hԕ ܸwIwč?DhDc5Po[Lӹs%fy ,xSBTj*K=C] SM뤚-~W;J'nAAxp7hT\0,\fEdǯ](D^֬LjG$æ6HV>э.KO\L£3KߊqWg; au>d7!-YMNx[ 14֎:DŞ'O yܩ$|U0d*#b.IfAUxaéІ|2Q0뎽b ݜ y[ <^1Dz_h;s͵9~̭ ͝=0*VĜksY3mmAy7Qy W A`Wgkɦ9lؑͺjOn#Klu'tY5|[ 'V37+Mq]{#F?LNM"Lg8>6y Ol$JSDrF̃Ҹw^NeDsWRSǮ8{cDID&~;w*ʉJi(eRҕ1B+1U'v,1x!#]KV g q~r-aBk}̞}fJЬR{A vb[¼@:z)2X;e{YyU|ڥuqɫ˲V#1 eYdDd0@< * C A%+2?Y|c ٤Tٚ> z`!Y|c ٤Tٚ> k xڍRjQΝLk'X](dFIq9LuH2n]tU# Qdp#8sђ^9}1d JD"]TUENAeFwl@"f %xfgrU^ğtE8f?O YN  h}|~X ?ǯ6-1脦?>M}﷦7$!ɗ#R|w/V0BsQ.3ogn Z*a= țFcYU¾(ԚMnIc~n2jN_JIZ^DvۍϷh:vs֪~=br14]7֢ygyn$?2 OӐy9@$jkoSƈ;VgTZ?^;I5|÷[ oDdx8< , C A'-2;+n \$r`!;+n \$rX 2v xWMlE~럵+;6։Dik%W 7KqJP;(1d))%Aƹ UrDRz )W.\8GԪ5ov=^{f0w޼yo,?`5@H]"BVӥaS%GPx*(J ~x (Ks9qf{y/i Z#}b M[GXvH2Ez#SSO`Z_ׄ>z9C(]N'ac}(%1 6(Ir#}v,Hv'Hw]3+;hx<i؜$i J&sWOwwB]ynMds#x:kupF].:C]ΣKJ/Ns;k+e&f|jP~ 'FFfE֡icQQ;q[0}tNˀߋAG=4XkQkF& bu8Twό6gQS]ckwt \ꚺde/|OlDdT< - C A(.2h0*7{Bs,L:D `!<0*7{Bs,L:| 4 XJ xڍRo@sR7R S) JĄXt ("!DJ* haXLPN,L,yC¼;ۢDHw${ ? J(BYQ" K.0<D aޯgl:heQ󆏚W{B3>;0?n#Nh}:e@X;˴dH#M]*mdV!vib?Æn~{ E4I򂖵j;z!^c+;ɼb4_LE@;H*| om.í6jͫv`w:eo~Pק#kq~W~K3<=ԥugR]롙N.#3Wdf8QLn2ݪsY/8K 1<`<ϐd<C`bvϓG ٟTqrF$nN}3UC5Rc<]|! Qiє/DIDd@T< . C A)/21>#)HkVw `!>#)HkVw  XJxڍR;OAfqXs RR aHcɏ62' @4@c~2]GQ.R.k; S$ۛogv^a8\qނHDQMtD:& a qFo nx57x߰-ޭr^k|򁼊2* &7ڢFl )!`UizP8Ѿ+l;_Һth G7}16)y,@|]i49z~WeYBokv52~+M$ヹZ!n+le!HrEo5<~ő)M4V\;%IFoβ42Rtp] ;Jp=f]'m$ OS'>[;nGEjNܷqr|]M ӵI>[-؎?s_RS}DdX@<   C A  2;t(~ .C&d `!t(~ .C&d xmROALKnE$V=h6qi76Ɩx\WXIKɶR{.?/ ٛͰ+:f'@jQH Ch>>{,DąepBC۰%C \rLFIYPxE"8 F՛A;ts/ZMՓoϻ߻yH#TA*tpcsW{׭7sMOp$GOz9~4#9b ps UVZ/{N[vPw62ƸvW1 a=%2r->ewP\v*m=ս,=k#*(3pE SK E蹑&? d(RyNVT7E*ºVZ[zw"s.T{NDw9))='.'uosDdX@<   C A  2<8Sr'>7Sn؛{ÂT|2^ 7)'.wO5a>7Sn؛{ÂT|2^ 7)'.wO5aPB5u;~ 5kHѵ[t9OAO< 3zeOx IQ&NQ fAU=]8a8Jc%O:B˪c~}fЇWjt z섕r[Vt&]Lg~]Ba#rd#de6'Z6:Y'fU<'6>CP:#s]i4ަq!X=k:J䩲e5N牧Ny}QJl+?:^μ{JgȗT?Ȝ%Dd<  C A 2ywO"cच9@wU`!ywO"cच9@w %hxڍSkAlv7DXZR=(= EmjQ[I)!un"H ,TT$^7=z*9qXC}";QV")zssL#|効6S^c(K# o)PiL  p\7q>3[dɩe "d "?PFP"]N[}ضj@ uf;$yZQ|ʛDd< 4 C A.524$s|s{c^)z`!$s|s{c^)z  hxڅTkA~o6;i6-Iz-(RѤM[ԤB!HH7d"bsN^*CпAzEb|;nCKf̾{߼A({ CYٴ<.FdnD7`:C0MOeʷ!WwHg?G]>(nD^[w%ODÃ_<~O+A8q_|{# #wԦ<&9GȜ':Y"+6e`o 2pX2،])em}[[vEժG&>a1tM`ʵ= )z:T`]'_|Nh'^'Ȝy\G AJnt @vN'G *59A?jHx4*c'VkQ;G4Cۚ;*RD.8_,'SY7^od%Ä^"GJX셮S#H2kCSd`3V-U  V͞FiɡD!m_2ԍ=HU@$mgT`g,ktѕi4S E, q'l 2sgཙpӮOԪiryF*NujsW(=؉Ώb±Dd< 5 C A/62p3IKwJOcPL\`!D3IKwJOcPe hxڅSQkPMnY%ahØE񩰬 1"!jvmG͓El "}'E<ۤ2{wsOf8v!F&g,FGQ$v"^O"13O\Z"0heH-aS\+ >>-̊|\c5Y Ƀè՛~'W{Ͻ_zWAmi7i%MJ {G^ͤJA1BsT1L0UVS_' *FLlJMa;8/'9aj8n|[`mHRթ]oշFc[w`+i*iTӮmᄩ:_fNA)oUBCZoN>[l8Xu zQ.k@}FZrKҳt0NHUX5zA-I>vOhd (,/coEw3ܐU@F~1.VNoIejɗUdo)uDdDB  S A? 72|w^u_WX\`!Pw^u_WRxcdd``ffd``baV d,F1J@YL0upY|@? @'0'0rCx|K2B* R7S?&t@Hfnj_jBP~nbCp ˷qI20p1`WȈn"$j?$`WBƖ&$@ =?xГ #y:h0l:oݙ  @ !Y^7QOں欶2"blEm#t ""W$1`L[](,V4Ho3Ӈ㬀{&jcWZhmt >B剾+6gpsR+4!Gɏ|,H0ͱ}U"܉>藿2|:壴CH>T!)UE~ql寕هŲwra2ߖ|_ ڧ GT4{#Jjgûl?%H$z* &LjfDv\'O[<,&YT$bգ CE G?lw|ݔy$c~=輞I?*H&# UTq6^*% zp嶖.h: Kvae8_"e7'k# ^?OwnHZ"O(S-injѼA*{L~FҽL~c:lQѦE 4u.=*vUusTlxƸ[ܭɴJ ~Dd< 7 C A192dG8kt%`!dG8kt4`!RxMQ=OA}(I\$F y$|0H%?hu&6;ٷ3ff0eM%㌍Pm4I4'3%SPFd:ѮȂW!ut]f|\d?DYFjnvZ6|[ {+uct-zMnzPڥ+(BDO+uZMEqF[Ԝ~tFͮ#zFBMDaϴ 0XFguj5uwijZݴ@zte V2] 5"Hh󘏧f`8ʍt0'orj'^;NM{`B; (k<n3Dd< 8 C A2:2fHP~5_:8aAB`!:HP~5_:8aAe hxڅSAkA&iݵzPƂF AD& &Ez [@Ҕ$s2(%<w'rAo&47E@BD!"1LN½":]QDR ]XD4,1s2z%QO}WYe>!'V?0#erwR^a[kw>n| vYn2HТ1NmƍqnR;ɝC_,5 HVaFᬂ) )V#tSqpWg9d%>»(mb2(_*oˏ{Nus'~ѫر>ZX˵~[ ,\ʸ|)y\ pp2s ` : Js$q#H`EJ5(Dֺҫ*?H>SBma"; 2=5['WݟޅZ}VWZw~;ZnoU|T_gXDd,@< 9 C A3;2$aE&3Eev"at`!$aE&3Eev"at xڅRMKa~$M`7~`c &&vnt!1I9U"^ҟЫų&_vvw>ٙYBж  OE ~"M m"Dhۄ,2 c0rɸz,aTEWx@I$%hB|0+~k涽vC|}{۞N諀-p4]&ԹOn=&qT:ʯ9<ޡ4aKMq0S#vz]4[^Z|g$`_} f*k~0Dd<  C A 2E!nc#R!`!!nc#R!R4@CxڝUOA3.t QFC*1K#m* 6-i1&F!z'#=#GiBݶư73~o2h\p*VxXԤclIwgyyG\g JGD;CA3Ȩɡ\'@w4V5A@JϨ3Ir;JyֲceLGŧ ڹ|*$pW#7HmN뾒lj4޶ʹ=Ujz:ہZG < <7xV0r(U΋jy9UbPA,J LG(s[ e3&-z]N%6ͮ ᓷEq܈vg7cK8=|k΋Ym<÷џ &b83ֶ :in? :V'=7 awU,wҜYWXVrs8ӹdP|BU$8h;,%֡DDM$8@5Pvg}~&qV Bv0l./G YM3|᰿@0c0i-Ixqõ ^V2_ (Ĩu;`#}JjvQ P>馦/q:]څy%am>iAMN= Z^Y&C6ZUW0UuQf8Wm <Dd$B < S A6? =2P$ \Sna`!YP$ \SnHD R'xmP=KA}74(]"X ւ^~@"!㺔bOF`)F};!B> ֔CD1mZ/QG9]}m %2V`,87/T/s :_ѧ|Ic#y$Gq- XY;>:9rWG9UDe?Ί,9^_;ΙgV9'c;3S=|P1dDU)eq m*neFms 'HeDd< ; C A5>2a3(m~G1jH[*`!a3(m~G1jH[z hwxڕToA3 Tۚ465ڏDa M4-llRhl9j jqZΕMxl6&|u c} o\oocXp0X)_2Zވ왆V1Iֳځ^/,8ل)iWžL>>W5g.EN:d-)td_bHKXJR(ņjmv. F!]P-WBA<7 O8Wm΋"vG;ӴevU lYc{ƺu1qڈØ}b{bv$.0\V h,y_ a5m ψDd 8< = C A7?2wӣɄH*}_`!WwӣɄH*}N `v %xڥAOA̶ƶH+A%Jw%@FbD-zPV] e TA. x01b`ӳ'o^=y37f˖fSvfNN^@'6?vJH"^Er&SףԎҚ8Ek@ A/y0~]EjxaJ]~_y~N~?ʭ.\zڡ}u0ۦ?h8_,ieVn%ur+T2B7@.w, LV䤜uxMuxIyX/۶jL 8ĜTg),RL:^alVu)TREV$X꫻mwc$%&“P OXVD]7=E< Ym$̂Ԥ)vI7TYұoQԉ7yݍ|9z A!*8JUDޘohO/}=$7B7=?`w2Z C A8@2v%VrAٹA`!v%VrAٹAZ @ PpuxڭMOAǟiK[D0DЕ%nHBF4BT=R&^|!1h@P.^41QL'0~o&FCz0!>ۗlq۝}vC\~͉;%$df$ZNs-\{%0ֆ\]x#-I9M*DW:SRKX-(瘢,ɲɠ8eadEERdE߹m1f H9`¸'|fT%UVM$X365Ga=;[dEdt1VQNT,^mv͌T[Qimqͭ^4hߚq䵅vH$kryE^׌O0viZHnFk P]Ya.T3cJ^V 3FQL#fI(iȔ$QɌ$\ixnb45 Pi%KFIF=k7>V'7o~`N7<TN$=ѩԽPt,6Σc^ɲcSML&b"T:bdWP ]8q/PRz'KtK?tQ?H_$K@y3 OQ3O\1stY ^`#Y+fȖJ> XtS ~bqGҕlJKW+̕Vttt8UcebMZZSͬYk`\u:ZCviiM(E[|U-eRiDdh< ? C A9A2g> `!g>  @P&|{xڝTkA3$Aׂ6vME &EO@ҕ$s ?"="zԫV=Yhf6_@{?f# @9pQBFQ64:- Quԋ4 w_: MZ 3'S`{`(C|NX' T`{FEo2^2v GPefĘЌ Ԅo PFyHduDw;Q ?׎>k|BU'-4}c0$1~dX:F+eBίcwv&߂k%hдC::߈}j',bZxl汣wuվׯvD'.?0 T|&9XZzOI4Ox|~>SʭDU#Y3JqyY1g!xxJ=/3υSZtJOXnםu*K.uêͧ]&j1k2` t4ا! Crx2k8&m,*_h6C S>[b}B:lxmp?fAg/E>OtL{8F*4 Mgƽ,p3DdT< @ C A:B2 PH)ƺbn`!PH)ƺb XJxڅRKQm~4k`7BB{RI,4%mSdO x^?'P,'$W"b9R?o:~ͣͰˀ9.di%8)0G)}랛Vm4㏾K$eIYw^ցn{ֻj>rɿi͠P{2\Ѡq]dpBKp2QrtDdh< B C A<D2.ײdM0`!.ײdM0@H|xڅRN@}1=T6EjĂƨ%>5^W9 {ĭ*B!n"7;3ofR]ȥDcD"cVlM$)TdŦF2L+Ɨ{\v{jEk9|Q,'$74OsB~ ~w Ή_:&8mYuY$K7!{#cM4+D;wGhT-;Oc^/xAkWC?@N\6uߒA&N[wٛU{PZ*ilV+ iђ &o %ڑ,#K/nV?}N%KOS'쨎kbRyCRwmb`oI4ͱ'W/oxDdT< C C A:E2 PH)ƺbw`!PH)ƺb XJxڅRKQm~4k`7BB{RI,4%mSdO x^?'P,'$W"b9R?o:~ͣͰˀ9.di%8)0G)}랛Vm4㏾K$eIYw^ցn{ֻj>rɿi͠P{2\Ѡq]dpBKp2QrtDdh< E C A<G2.ײdM0`!.ײdM0@H|xڅRN@}1=T6EjĂƨ%>5^W9 {ĭ*B!n"7;3ofR]ȥDcD"cVlM$)TdŦF2L+Ɨ{\v{jEk9|Q,'$74OsB~ ~w Ή_:&8mYuY$K7!{#cM4+D;wGhT-;Oc^/xAkWC?@N\6uߒA&N[wٛU{PZ*ilV+ iђ &o %ڑ,#K/nV?}N%KOS'쨎kbRyCRwmb`oI4ͱ'W/oxDdT< F C A=H2udpa;C`!udpa;C XJxڅR=OA}& RR 2>p# rI.`md_Ec~:U*(Qtȗٵ/HIխ{3KXb6C-D mQf~QtYDIf"#P1 >b|-]^g%QqGeI o,;)#`؍˽Nm6>91 hXMfmd,4.fܣiMᾏkIٟQWE\j%~hf5;{}w*V[:M;݆וA*v.wѳmkR69fS+ ЋL`)u2s)9V ?SO A3U#O 3γdar}Y ,*R] 8\)ɞ&8hv oDdT< G C A=I2udpa;C/`!udpa;C XJxڅR=OA}& RR 2>p# rI.`md_Ec~:U*(Qtȗٵ/HIխ{3KXb6C-D mQf~QtYDIf"#P1 >b|-]^g%QqGeI o,;)#`؍˽Nm6>91 hXMfmd,4.fܣiMᾏkIٟQWE\j%~hf5;{}w*V[:M;݆וA*v.wѳmkR69fS+ ЋL`)u2s)9V ?SO A3U#O 3γdar}Y ,*R] 8\)ɞ&8hv oDd@T< H C A>J2"a݀[ϱ{S`!a݀[ϱ{S  XJxڅRO@ޙb")e@ "RA0CSE$6˴`%++SW:T lԅ8B6؇\)A#a*4G^A$QDdE^@1z60PL9c|ra,,nKŒ|B~2W̄*1|'Zu^~oۨ]n~cH"qa~p3i扝-^Wµ+dHZ-cm\r;OEWqri~ko^[:*^rG^ۃҼU Lcٱ*^M37,v&,9L(f`vY]a`:%gY:HfשAժGu6'y8.D?D{>ke:U/gNk/U1ojZi%8ae\ Dd@T< I C A?K2#NjbE1C`!NjbE1C  XJxڅRN@fCLc"فrhA"">&ʡA "%%҈J zAOѧ!yqP+fvcKW7;;R@bȕdD"B*[wBiS5e&aΐO!bNQr;ޱKJ ^ka^,*1 j鵳[^77#T.n9Mt ;c@#3:bv{Aӿ>9(td8*T2X)US#pO+^wg^`Wܪ{-DfT_:-{MsV90Ucd`-9Egi:HfיU'؜JbM\j\ T_G]61z1̾P;^ezմ482 ʧKDd@h< J C A@L2#&SG?"kRRC`!&SG?"kRR@ |xڅRN@fM14ADHAxLbA 7cFJp҈CQ .!OG =TU7fvcąη$}$@r%XQHa{EqDJ, w0;Y.9'ht*\}-Œ|BWbFL*1Rf5].Wۄc$8 .fgyd'qPPA;*P52P.Vf}j4v}'Jnk#xzwZ+~]yUZ҉PvZ.9_Ji|p Ư Leio+ ؁,#E\ ^ :5Zub4/u=UN:貉e]S^5kճi / ]YuﳆDd_1013421323ive^F04R`K:R Ole846871ive  FDObjInfo09]_FEEquation Native FG_APAPAE%B_AC_AE*_HA@AHA*_D_E_E_A  B 2@ DSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!/ED/APG_APAPAE%B_AC_AE*_HA@AHA*_D_E_E_A  f 21_1013421093HxbF9qRROle JObjInfoacKEquation Native L_1013421107     fFR R Ole$%&'()*+,-./0 789:PAObjInfoFHIJKMNmOPQegVWXYZQaEquation Nativejlknopq wvxyzR@ DSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!/ED/APG_APAPAE%B_AC_AE*_HA@AHA*_D_E_E_A  f 22_1013421133ivedtjFpRR\Olenfoive FVObjInfoiveikFWEquation Native FX@ DSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!/ED/APG_APAPAE%B_AC_AE*_HA@AHA*_D_E_E_A  f 23@ DSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!/ED/AP_1013421340 \pnFrRpR OlenfoNative)*+,-./0 56789\@ObjInfoNativeIJKLMNOPmo F]`Equation Nativeijklmnop F^G_APAPAE%B_AC_AE*_HA@AHA*_D_E_E_A  B 3@ DSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!/ED/APG_APAPAE%B_AC_AE*_HA@AHA*_D_E_E_A  B 3_1013421345 rF@S+ S Oleion Native)*+,-./0 56789b@ObjInfo15GHIJKLMNOPqs Fc`Equation Nativeijklmnop uvwxyd_1013421149 Z<=pExSt8vF"S`'SwOleion Native4< 4hObjInfo16(@0x'x\ZWTuwFixpEquation Native(H `Hwwj@ DSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!/ED/APG_APAPAE%B_AC_AE*_HA@AHA*_D_E_E_A  f 31_1013421164hzF=SBSOle nObjInfoy{oEquation Native p@ DSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!/ED/APG_APAPAE%B_AC_AE*_HA@AHA*_D_E_E_A  f 32@ DSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!/ED/AP_1013421180 Z<=pExSt8~F@\S0?aSJwOleion Native4< 4tObjInfo22(@0x'x\ZWT}FuxpEquation Native(H `HwwvG_APAPAE%B_AC_AE*_HA@AHA*_D_E_E_A  f 33@ DSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!/ED/APG_APAPAE%B_AC_AE*_HA@AHA*_D_E_E_A  B 4_1013421360l8Fp|SPJSOle zObjInfo{Equation Native |_1013421365 Z<=pExSt8FpUSSJwOleion Native4< 4ObjInfo22(@0x'x\ZWTFxpEquation Native(H `Hww@ DSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!/ED/APG_APAPAE%B_AC_AE*_HA@AHA*_D_E_E_A  B 4_1013421202|F`S@CSpOleion Native  FObjInfo35FEquation Native @ DSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!/ED/APG_APAPAE%B_AC_AE*_HA@AHA*_D_E_E_A  f 41@ DSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!/ED/AP_1013421221 Z<=pExSt8FS`NSJwOleion Native4< 4ObjInfo22(@0x'x\ZWTFxpEquation Native(H `HwwG_APAPAE%B_AC_AE*_HA@AHA*_D_E_E_A  f 42@ DSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!/ED/APG_APAPAE%B_AC_AE*_HA@AHA*_D_E_E_A  f 43_1013421238FT`TOle ObjInfoEquation Native _1013421388 F@T T Oleion Native)*+,-./0 56789@ObjInfo15GHIJKLMNOP F`Equation Nativeijklmnop uvwxy@ DSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!/ED/APG_APAPAE%B_AC_AE*_HA@AHA*_D_E_E_A  B 5_1013421394F4T::TOle ObjInfoEquation Native @ DSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!/ED/APG_APAPAE%B_AC_AE*_HA@AHA*_D_E_E_A  B 5@ DSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!/ED/AP_1013421255FpQT7WTOle ObjInfoEquation Native G_APAPAE%B_AC_AE*_HA@AHA*_D_E_E_A  f 51@ DSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!/ED/APG_APAPAE%B_AC_AE*_HA@AHA*_D_E_E_A  f 52_1013421270 FkToT Oleion Native)*+,-./0 56789@ObjInfo15GHIJKLMNOP F`Equation Nativeijklmnop uvwxy_1013421290     FxTT Ole$%&'()*+,-./0 789:AObjInfoFHIJKMNmOPQVWXYZaEquation Nativejlknopq wvxyz@ DSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!/ED/APG_APAPAE%B_AC_AE*_HA@AHA*_D_E_E_A  f 53 FMathType Equation Equation _1013847115ive FT0T\Olenfoive FCompObjiveF\ObjInfoNativeFEquation9q\ n=15-7=8 FMathType Equation Equation Equation9qOle10Native F` _1013847136ive)*+,-./0 FTqT@Olenfo15GHIJKLMNOP  F`CompObjNativeijklmnopuvwxy\ObjInfo90     F Ole10Native()*+,-./0789:`A_1013847179HIJKMNmOPQ F |T@TaOleion Nativejlknopq wvxyz\ n=c-1()r-1() FMathType Equation Equation Equation9q\ n=rc-r+c-1()CompObj15ive F\ObjInfoiveFOle10NativeF`_1013440508iveDFpOUPUOlenfo44  FObjInfoNativeEquation Native  FC_1013440551FPM6U0:U@' DSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!/ED/APG_APAPAE%B_AC_AE*_HA@AHA*_D_E_E_A  n 1 ,n 2 ,...n c ,Ole846920  FObjInfoNativeEquation Native  FC_1013440641F0KSUWU@' DSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!/ED/APG_APAPAE%B_AC_AE*_HA@AHA*_D_E_E_A  m 1 ,m 2 ,...m c ,Ole849010ive  FObjInfoiveFEquation Native FO_1013440962FqU@xU@3 DSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!/ED/APG_APAPAE%B_AC_AE*_HA@AHA*_D_E_E_A  Y 1 ,Y 2 ,...Y c .Olenfo90      F ObjInfoive()*+,-./0789:AEquation NativeJKMNmOPQ  FVa_1013441023ivejlknopqFU`U@: DSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!/ED/APG_APAPAE%B_AC_AE*_HA@AHA*_D_E_E_A  pfY 1n i " ==n i m i .Ole       ObjInfo&'()*+,-./0789:AEquation NativeJKMNmOPQ VWXYZVa_1013441097ihjlknopqF U࠶U@: DSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!/ED/APG_APAPAE%B_AC_AE*_HA@AHA*_D_E_E_A  N==n 1 ++n 2 ++...++n c ,Ole440033 Z<=pExSt8 FwObjInfoNative4<4Equation Native@0x'x\ZWT FRxp_1013441206ive(H(yFU2U@6 DSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!/ED/APG_APAPAE%B_AC_AE*_HA@AHA*_D_E_E_A  NM==ppfY, 1n i " 1c "Ole421388  F ObjInfoNative)*+,-./056789@Equation NativeIJKLMNOP  F`_1013441408iveijklmnopFrUV@ DSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!/ED/APG_APAPAE%B_AC_AE*_HA@AHA*_D_E_E_A  NM==n 1 m 1 ++n 2 m 2 ++...++n c  !"#&)*+,-123489:;<=@FGHIMNOPQTZ[\]^aghijnopquvwxyz~ m c .@R DSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!/ED/APG_APAPAE%B_AC_AE*_HA@AHA*_D_E_E_A  s 2 == 1NpY"-M()Ole421164 FObjInfoEquation Native n_1013441454iveF V$Vp 2 , 1N "@ DSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!/ED/APG_APAPAE%B_AC_AE*_HA@AHA*_D_E_E_A  @fY==NM.  "Ole  ObjInfo Equation Native  _1013848853 F`GV QVOle421093 FCompObj\ObjInfoOle10Nativeve@ FMathType Equation Equation Equation9q< N-1Ki DSMT4WinAllBasicCodePages_1013796106]:F viV@qVOlenfo ObjInfoNativeEquation Native F     XY !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSTUVWZ[\^_`abcdegfhijklmnopqrstuvwxyz{|~}Times New RomanSymbolCourier NewMT Extra!/ED/APG_APAPAE%B_AC_AE*_HA@AHA*_D_E_E_A  Y"-M y ==r s x s y X"-M x (),_1013441761FVØVOle ObjInfoEquation Native  @ DSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!/ED/APG_APAPAE%B_AC_AE*_HA@AHA*_D_E_E_A  Y"-Y FMathType 4.0 Equation MathType EFEquation.DSMT49q_1013847253iveFpVV\Olenfoive F$CompObjiveF%iObjInfo08iveF'Equation Native F(Z_1013441890F0VWOleion Native .ObjInfo54iveF/f>%MU2GDSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!/ED/APG_APAPAE%B_AC_AE*_HA@AHA*_D_E_E_A  s y  2 1"-r 2  xy ().Equation Native 0-_1013441967FWXWOle 5ObjInfo6@ DSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!/ED/APG_APAPAE%B_AC_AE*_HA@AHA*_D_E_E_A  @fY"-Y()  " ==0@ DSMT4WinAllBasicCodePagesEquation Native  F7_1013847290 F`4WVCompObj62F?\Times New RomanSymbolCourier NewMT Extra!/ED/APG_APAPAE%B_AC_AE*_HA@AHA*_D_E_E_A  @fY"-Y()  "  2 ==Ns 2  y 1"-r 2  xy (). FMathType Equation Equation Equation9q< N-2@" DSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!/ED/APG_APAPAE%B_AC_AE*_HA@AHA*_D_E_EObjInfoNativeAOle10NativeFB@_1013442471F`TYWn_W5Olenfo CObjInfoNativeDEquation Native FE>_1013442627FtW zWOlenfo J_A  s y  2 1"-E 2 ()@8 DSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!/ED/APG_APAPAE%B_AC_AE*_HA@AHA*_D_E_E_A  pfY==n ObjInfo95 FK Equation Native)*+,-./0 56789LT@_1013847315GHIJKLMNOP FiW W`Oleion Nativeijklmnop uvwxyRi1n i " m i , FMathType Equation Equation Equation9q< N-cCompObjNativeS\ObjInfoiveFUOle10NativeFV@_1013442766 FW0WCOle      W ObjInfo&'()*+,-./0 789:XAEquation NativeJKMNmOPQ VWXYZYCa_1013847327ihjlknopq  F0WP!W@' DSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!/ED/APG_APAPAE%B_AC_AE*_HA@AHA*_D_E_E_A  NM==pn i1c " m i ,OleObjNative _CompObjive F`\ObjInfoiveFbOle10NativeFc@ FMathType Equation Equation Equation9q< c-1@  DSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!/ED/AP_1013443269iveF`WW Ole846871ive  FdObjInfo09FeEquation Native f%G_APAPAE%B_AC_AE*_HA@AHA*_D_E_E_A  s y  2 E 2 ,@ DSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!/ED/APG_APAPAE%B_AC_AE*_HA@AHA*_D_E_E,T< K C AAM2  ( _18ւ`! ( _18ւ XJxڅR=OA}q8,ݙ" ʇXX#Y!Np,FUAJh@AůpAEM"U*:evYj̼7)@sCoA4F$(R-=8:-⊔Ȋ_4դ "Y|r)]gP_`*eJ eK1|'eL;Mjz{].k{wBtLpfmH!i #û}?Iٛ(c}W~"!KJղ nFuꟊ~ūNkՠPuЮmDzd~q<كRΪ޵*B;| .#(J3ew=wl3ݒk:5(:OP:Gy,5?SN::ꯉ0R5t&zݝ$Itc1g7꯼_B۰Dd,T< L C AAN2  ( _18ւ`! ( _18ւ XJxڅR=OA}q8,ݙ" ʇXX#Y!Np,FUAJh@AůpAEM"U*:evYj̼7)@sCoA4F$(R-=8:-⊔Ȋ_4դ "Y|r)]gP_`*eJ eK1|'eL;Mjz{].k{wBtLpfmH!i #û}?Iٛ(c}W~"!KJղ nFuꟊ~ūNkՠPuЮmDzd~q<كRΪ޵*B;| .#(J3ew=wl3ݒk:5(:OP:Gy,5?SN::ꯉ0R5t&zݝ$Itc1g7꯼_B۰DdTT< M C ABO2 \rYoX}Q A'dRV`!\rYoX}Q A'dR  XJXJxڅR=O@}!Hv(.D $@ALbAqA ,@$(D hM *jkGrw'|$[{b<-، =/Ug5<ˬv|zuƠjՈ*kufϖ@'N\M+G3wYBjUDdTT< N C ACP2H@@1?xEty`!H@@1?xEty  XJXJxڅRN@}&1@9 DD|&T 7˴DJ0JB^8^!7$ϛ;3&dG+"bD" Ci*-$:&3s2 0snX]YTn}UŒ|BB\.sRJ7^77}v?@o[ %1*~'O ;^WvR/'e^N "?/nnFJk20ܳZU^xUw"VJAudJ=o:.l V505ǪxҰ`02TC;wփ>^g`;ekY:HfשAժۿlN qZ>Z:W9}ר&Fuf =~!ݸřVc NfuYBg"WDdTh< O C ADQ2#}:_H@ˠ`!}:_H@ˠ @XJ|xڅRN@fCc")P HJĂ"7"%%AiġzIG @Bp֪fvcąη;3KH  %KD ADaełȊFSIcd^`o'.8p+٩\`S$荸y")%`TMv^E{}%K@C͐D6HbpJCvNJqRP#vVµs$dJR~Ff_ ޖ[v62ggb^Poݖ "/UN9mߏ3M?mF^oWߖvѶ|z, :cPjQwaEueC:U/s^6O5$"pey ),Ddh< P C AER2wa~*.HJ)R=f`!wa~*.HJ)R=@H|xڅRAKQ歉u F+E6 &Y롑Ьx\W@b$IId@% / =(eo뼗lzy1@sBoA4D$(R-Mމ8:.⊔XW4h1i Ha&\1>kìJ^b|B7RѝEpFN~'QP99+@lֆ,+% {w>g/4=M>#@]ӷ YRV^[heoo!V ; oͪߔAGJNw/.[4>V9S~ediv䮇}uh];eu ֩AiՉ<3kìJ^b|B7RѝEpFN~'QP99+@lֆ,+% {w>g/4=M>#@]ӷ YRV^[heoo!V ; oͪߔAGJNw/.[4>V9S~ediv䮇}uh];eu ֩AiՉ<3)k<ȇb8&t۹ {7To[ɔxx;f괽/E[q6&g-Dv\Y=yhKf%05۬0MV:ڌ (U <+svɶz, :Pj:u^ 竽vm(g8RJq, ]dDdTh< S C AGU2&QieQv`!QieQ @XJ|xڅRAKQ歉MJ+Mz.EM &U76DR/%/xOSȂBy/ ^|3{of!h ؇/A#Q)ľ"N$#+EAͦ ve'/8)ssdhpmR2\_wZM;޶E.uV7`;2X^p>:gX^i,VrjcB3pedTC'sW¡,sˮ2u`fשAժۇ 6 qT"׭Zw;W9}QM+Df =5qX,o!?6DdTh< T C AHV2$;=ꀲ XA,`!;=ꀲ XA @XJ|xڅRN@fD*)(ĂCSތi)( J#E>@U쏽=~bj`U~a!`02TC;w6wʎ2ru`fשAժ_l>JarWQM)k^ ݞF,᫚Vc NfuYB_ׇnDd,T< U C AIW2ZD:ֱt0`!ZD:ֱt0¨ XJxڅRMKQ=C3Q(JM:IfaJ0#]1DYUp#nR調EWw \+-ev^2t#{sMr%x 1"B9z9>[QuZD)74h%cl >V wh=X$hٖhѝȆ3 `؍ͼv=BW_k_ qo6kIn4>MO#nz;rܤ'o|c}\#![J~hf6}ֽ.҉oc5nr>4,"k5,j`w aadEVꔃ:yS+?SO ҪNy29c!ʵyʩ# LB})̛ݞB89IO\p4}:ٯDd,T< V C AIX2ZD:ֱt0`!ZD:ֱt0¨ XJxڅRMKQ=C3Q(JM:IfaJ0#]1DYUp#nR調EWw \+-ev^2t#{sMr%x 1"B9z9>[QuZD)74h%cl >V wh=X$hٖhѝȆ3 `؍ͼv=BW_k_ qo6kIn4>MO#nz;rܤ'o|c}\#![J~hf6}ֽ.҉oc5nr>4,"k5,j`w aadEVꔃ:yS+?SO ҪNy29c!ʵyʩ# LB})̛ݞB89IO\p4}:ٴDdTT< W C AJY2$5zMP_U{>`!5zMP_U{  XJXJxڅR1kP)c I8d? -.vhP1V]]BWWd(:wT%mI݉]N WEED =G$hFYgz2 `,3NveQsGG;+-\B./a7ο{n II@1b?BR߻e'rR*A;*sSo$dJQknA?n"{vNkLz~C dZ3o.xqhOEKǪ[ya!`02TS;plp2u SU'?|3YY~J\j\ T_]6RֹcИ G^kg5$bpey 'DdTT< X C AKZ2!Lȋ%`!Lȋ%  XJXJxڅRN@}&1@@T%E*D0"7"%JR^W_3wJٍ R/=73;owfLH+""D" C>d"興3"٤weFaokN`vQr;{7(+2Ōb8%j鵳k^77}TNnI1>D@N$3q~+즦Ͽwz>E2r o+ظBB+j۬[ƒۮ-;^$?;UzmUZ2PtZ.͇_\ʁi,;V~=qB`4 R`Y ʳp5;e A\UNl93I^~r\j\ .V֙c}kw&0~i%9x.[TDdTh< Y C AL[2#!_5@y=R`!!_5@y=R @XJ|xڅRN@fCc")p@  PIXp (j͸ŁH FIq(Kx ^= B [$.y=|3"@RQHA"(#-EV0MD {~1>ui]i^wۊ%%D@] gQ7vvf?zMgCԾm$Ay1#v_IGNJ="j9Ď +ܼFB+jT7]Rvܲ붑I>; Vm 2R5kvZ/.eWmnn·~fd?g}Yf}9gm˗ 3UFl93i^r\j\ 몯.R֥z1>S;nݫx~i%9h.[HdDdh< Z C AM\2΋, xMquV `!΋, xMqu@H|xڅR=O@}&|Hv($('qs+} )!()qE$D~5?Q萨;B0Wfg!@QH4;[qtXI*i|ID `5 m.=J"5~:P,COH4*~Gd$f#c8#eLT ެVO4o6OEEt%.wn?[_Iهwwdh%bYFr9K;_:RwbPٮ9 "՗wvQÃ3v'hBZ)cNedYi:vஇuh\;e$u ֩AiՉ ! qIw܋\.cRJ6Z^'e?-w?^F/#m$aqBCC> {.=7z$y PEzEqFZgzB1d|~vQr;gV,)'$7yb6T))%`VM}umt$xIAqAC: {1I;NJ="j9hQ*ظFR*`|g5kn1F&V5? /גAdji㑙%_Xʁi;VϫiƓ4R`)}Ye}Pd`;gi:Hp3ԠjՉ/y8Y׭Z8W9}[AM +BfV75!8R!ԷDdTh< ^ C AP`2'%~`*{`!%~`*{Ѱ @XJ|xڅRAKQmf ڃX4l!PFRiom@JR/% ԓRكPvˮvy73CJ 0 ZQgŲȊ1F/ (Kc pJJ zkg׼nvoۨ^l^w4;#^D>H>i~H_"ÿ1;=7?E2 WIRػh+^3Z78Tw[u%$Jլiv8oxX)O iAY ʳ`s2u`fשAժG56'y8^<׭Z0W9}[AM +\fEc'jZCq KA? 8r< %! Hv\a n:T $37X/\!(?71!m~l\ \ ,@e@@1q900tU0lܤ_6.v/i0A|``7V^DtD`jN? &C ඩ57ED,"\z=pgdbR ,.Ie(bKagb (c3X?ZeDdhB a S AS? b2W+W+@z.|`!W+W+@z.| @|qxR=KA}I.K`ea,`%bvG" XAݽS`7[ V 8: #FD0(-BhշqiߴK#=D~뚱Hhްi8T9n̕.G8k[֌` YeJc?PS$R!lFܳNQyBG ;kZio3:WˌDz2y&S#C/XDVej/&OL v];dqMR&ja|%{SkDdhB d S AV? c2CB]f9Aݍg`!CB]f9Aݍ @|wxcdd``.`d``baV d,F1J@YL0upY&\|@? @/b`0&dT20$ ro`1LPbr<ߗGq30p1`hҙWy(cYPۧ3yŨIpA 6 VA``#RpeqIj.Cy$[6;C#N63f~yDd$h< _ C AQd2xbYbCCY T`!LbYbCCY @HD |xڍSkAlm Q4T(ij'O&= &ś6m HIsK{)^'=UDQdolMP}5߼7)@J.DD+S"E<w-}}FOˇIedaH$d#m028:0?#ɚ 2!kgEGJU uݽW^@T [YD!-WU׬ՖViuB,4~VW5VeU)Mqkݴ_z3%3Y'&<˻JhF͕Ydh9Wʖ,O~f4B|c$xՠm?b/V/]zDnWL1n*530VU)g V۩YtUG x_h!Ddh< b C ATe2pA_c XC[L `!DA_c XC[@ |xڍSOoA햄(6QB'z{Gn:l$ĉϝM3D?w~Ieg L&ST2#S_ ZCNd$Y3?P^zyVt9XEsh<]׭. ک_M {B1_.V+Ofmw\k)uxhqwʵ -/+ams,NFYC,u F##bT֭ovX00׭UgƢ7F_ 1[ N)'\.0Hߌ6eޗ/HUiR3:SOVw^s*Asxf|N8I(PMX0ˊf7'}(\67ԏdt.:h7KGbӟHp8D:-rdw:ydl:wX{P7kxU-'Lbr hn}QcUYR8U,]Lf6w fKM);lF?!^(l=%mF!YHg} KBR%<.4Țoqad>6atzTu2qr. wՋ9g`QYCnmѩxYK5G]<)hDd(< e C AWg2X</ }&`!X</ }j@` PzxڕTkA~3$H6=1) E ٤$' ^c? =?GQtfv7 i$uͼy3}{_f6GY:í9_~DKYOE8, f@A/<1|dyGu;0xN@A)ފ;[ RbKgk' od@\Y MZͽE_ۑAno0."!.֯Lp.0C="y|̣?@LhøC"G`qc}橮tL|e8F}°yQ@;gdeR.zi'+s`l JT._! KZ+-^q_/TD^Fi%79%[[7-L3kݪjVhsm{\oP ͪޔN]B(,9'״*j1>`Kf(Oȥ2Wf߲y}@[)&)SޚG|qSu*&f!\b14sGBֹaǝΝF^UNMBڹ>0k}Xu/续^GPyp}ϭYaόb8ȕlDdh< g C AYi2+ZzԤ c-`!+ZzԤ ch@ `P~xڕTMhQyIMfc=jY=M&AzZcօ$sXxSzŃ&A4v7K$uIޛ7|ͼ7` џ!:~/Kxѩ=\#'I4$ @@&+T2Bg(?ƥ,$S$b (j4YUj_~}Tj@0Kŭ7؋}A}(odp3*H651 1@&,xonN'1Gr<_<ގqd5"]ܺl4ȱ:S7gOjbT6ӳC$q DK|X uZWijEbarGC;Cw-Q/z LՖts,i*?KK&੨\{C$a?`FDd@ h< h C AZj2HLylD@+ew1`!HLylD@+ew@|XxڍTAoA~of)@`lIP, ă!!z\$ = =4Ԙ=ot:0>ޛ7|o߀0G &C"dX(^b̉.3'6W^`" '!4)uyJE(]~L+X Qb2ۡ =nZ?_vW*(lV_"WEb~b#< G Gr(\sʁ<Q&Ue|3BPOD320/Vhef.۰ć^>WvzbcTog=kHqΨ;[D$)h9tN=ȩBxJVM6ʮنg^{OO$Z5%PPuU]6z׍넯h:i=20fl#$ff-C*2T$dUQxd)$6(|cTIz {Nl(<6ګnt;-n>BF#U \;ݒG]@1w"w VDd< i C A[k2CN?^HɴݦG4`!N?^HɴݦT @xڝUkA~3HFBPXRXlR)Hcԥ4B)Lփ/z/*YEl|3݄md7ov7ߛ73K "B+@g-B^75Gx耲 :BT0hZv?ǷG&w/ 9-b@~q@U8jTnYW_ʧH/Q^K+_m $q> 0΂ɼAkNߨjoޮ|xJrn@8G2Q}18˦gn/9M$.r:j?t|w8LrYGLri,ᬣ(CXgk:FXug?Xx!?_{ᚢMv5˄jڪ& V~˶S^nF8x_s,"Yv~;+ j"f'*p"<Jf6:33gn nci=~E?Ưngy ~% ,̧1ꍕ{c{1rc(1QL!yxUݩ$,XAN b^Ab`@DTYcVPF~g< cDKb@`8I=F_M6GЁ?w \+i1f1w\ou{Ʈ:,3kW11^XDd(< j C A\l2r;z_ʰN8`!F;z_ʰ@ hxڅSAkA}3ۤ۔m,"=M&ELb@Ҕ$dP%C^zEPLvc ݙ7޼of8 >XFٹp "K(.5Ot])fc;p[{\}19z' R]-ݞBVOQ,³'HolDdDB  S A? m2|͡bK$=39ۅX;`!P͡bK$=39ۅRxcdd``ffd``baV d,F1J@YL0upY|@? @'0'0rCx|K2B* R7S?&t@Hfnj_jBP~nbCp ױqMd`b`**ˁ1ӯDy@+ssq3G? |&ne In7(8D +@B ! 0y{Ĥ\Y\P-MdPF3X?UDdt < k C A]n2=Q 㽶|ap&.=`!Q 㽶|ap& `qPxڝkAgw&^ڇb(FI}1z@H.mrRP)b-b/jm_UgoI8Sbzr;;`.(xSBJŶΐjY*TF+uC~0~v@ M{:yoسaG)_A+喏W~~SO@L,gJғy@!|v)kۑVw17osSP@_t }33⩴nеL: 7/1 ;#d 񩵎ELv#LRc6 }=ĴdqsGCJ1 rGhet5=E}4N%)=4!MNmq-;4k =㣫$gp)E lwjPMZVQ)!Sh_Wy#A|ɬWp2[D4VY#]6uqw R*Jڸ,k8o=,w5?#w/'sr z9cd7QeéEusj.0>o9h5m{ly;Hl|U<7Rce OBi*s^6!|$aYω6Lw# |/-4%xJtDdB p S Ab? p2?Je \nyH C`!?Je \nyH e @CxToA,B`l1 4o-`+ZI=Q<ջǞ=ѣFƃ1x0oCJɼ7y0 (_8q9ip,n+;mEy'13O%cV:$qu:ᱬ,G:' \H ]$o~gJ R[Y﷿7pab*1`*|rR>||cy:abDsŲ^ a#?0ba,sZ ⑲1VLcu! |t@|`N0aLMb/J(%ȿbZ¾&H0YgR^v UXw완PM~nm]eNX2 .hZV3msa@ 8jQM`Y荘9j'W̏sgI>`̋f{-OߗS;e7̶\xm%̧Lk>/#G`Ǫ*FzB*n" qdP)1 ΚCP9H?X{'Fjڑ|O)P֨2 ׃/]p^_)<lODd@< m C A_q2 ܄mX/ OtBG`! ܄mX/ Ot p@CaxڅT]kA=3Mm$Pi U>&"FI%D@>JAl_"R3Ȃhnئd9qa܀T1DsƆ``[livv{M3J'=zES$ցtL/n tf2>pՌ콠ejTKeGS:D; L3`e*|/,)}73ǟg8=-?L8DtfQ`*-fjAq$<3搨&&ƮFۦF{V6ʘI }\۰Xz8_M|]NBűNJ2IZұeҙjn_ehLaR]XJ;ziLO:4ٮ& 3hE&48HnlƻHPr_F`čU#zbƍܮ5W4w D6r\_aԨ`SH 5zS gX~\u: vNh+'Ph !q%5yKTE˜}6_g%ժ72G;&p۵L3<Dd < n C A`r2chTd&ZQڶٶ?=`[#1oD&h:L>Nʙ3t,.[řR&]Azx1;if2}2⋮0hmXkL')^5"XrNk=SX?CK&#]2A⇋AP']đ2 e^*ly|~J:'7 tAqw;˻pa G&as_e89%Çf]ܰQ:۴ֱGNu^&~g# 8֮jA5[Yv3vne 2v$[!&3M Q@5P `m `ph121)W2wI3t1l``@SIODd`< o C Aat2@(MjnydP`!@(MjnydJX @CaxڕTAkAf6i&M[bQBZ&EL &1ulJܓժ/T/=?X$? " DMeyoc848ch4*ex71>̓t}&Eʐ43@+'t@E dMܐU!݀%Uޚ UQӱ>| /H0ʍi%^NUTϧw1#k1c xTyL0w{c?GƆb$7y`wyS1k`Fωi`8+Mg Wi~IR Gz<ƈQ1T 87H",*L9YN+LgCRi r,v,I}<4Dv${*Vlflua,o"-qgDd<< r C Adu2BRug'VS`!BRug'Vh`` PyxڕTkQyi5%Ikh TKDXH0)RnnB6)I$ɢ K"xf=yKD8nH겻ovޛoCH/-ZȺݮN!ח`Eت&D@DȳCszbLQJͻEk]$y>ƭ,$<X+ (aeR3KU(?ޮ}if5NjgC6:7+{~sG}ʻ(ƯCsHN_ J<_ x?G+xCap &)cɇQL&{(S^h3=e6ٌ-hBKscv%7?SY`!>-hBKscv%7?@ @PVbxڕTAoQyoiXFDMjz%a F !BMt"c/x^p\>a<#V`ctLEX2pOc&+2UK8ɓ.gvϙaP1zd[ke%smFE+u^gw yէ5CM)|8Q+5}y1M.jYK )hٟ.~6Xݥij0!D7eIX&E/$ )K`dHq|9x)cnH:@\dnEm)PP(r49O n9{Z*LՎuHUo&4?8o)Ҟ.6DdB w S Ai? x2zD^ o{V\`!ND^ o{Rxcdd``ffd``baV d,F1J@YL0upYFf> KA? 0%0rCx|K2B* R7S?&t@Hfnj_jBP~nbCp re`b`**ˁф3r`&W&00xru{M#LdLVI26 [!&3MaH(qCb06v0o8+KRs5 A6`lt0l1SDd< t C Afy2fҁR)W;=!B^`!:ҁR)W;=! dxڕSOkA$5nlEׂJ=v,`$4)UH=)KϠ?WȂIbK(7BR_$I4CGbl͉G^|vjѭ$ aGJ`=rSyTz;:JV ͉h0 XF+Ahml}.` ni憢k1:a9:}IOb'oQ9h"r9aoAy<#:c@@ DSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!/ED/APG_APAPAE%B_AC_AE*_HA@AHA*_D_E_E_A  s 2 s 2 1"-E 2 ()s 2 E 2Equation Native F_1013445381= CF!Y`YJOlenfo ObjInfoNativeBD "-r 2 ()@ DSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!/ED/APG_APAPAE%B_AC_AE*_HA@AHA*_D_E_E_A  N"-1N"-cc"-2Equation Native !_1013523188QGF9Y`TYOle ObjInfoFH; DSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!/ED/APG_APAPAE%B_AC_AE*_HA@AHA*_D_E_E_A  s 2 1"-r 2 ()s 2 r 2 s 2 Equation Native _1013795633UKFEY_YOle ObjInfoJLE 2 "-r 2 ()K DSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!/ED/APG_APAPAE%B_AC_AE*_HA@AHA*_D_E_E_A  N"-2  Equation Native  _1013795734OFP Z2ZOle ObjInfoNP] 1K DSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!/ED/APG_APAPAE%B_AC_AE*_HA@AHA*_D_E_E_A  c"-2Equation Native       _1013523234'()*+,-./0SF=2ZpX8Z?@AOleDGFHIJKMNmOPQ VWXYZaObjInfogihjlknopqRTwvxyz; DSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!/ED/APG_APAPAE%B_AC_AE*_HA@AHA*_D_E_E_A  s 2 E 2 s 2 r 2 s 2 E 2 "-r 2 ()s 2 Equation Native  F_1013795778iveMYWF0YZ~^Z2qOle522324 FObjInfoVX1"-E 2 ()K DSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!/ED/APG_APAPAE%B_AC_AE*_HA@AHA*_D_E_E_A  c"-1   1c"-2Equation Native _1013795796ive[F6Z`QZV$Ole846522  FObjInfoZ\K DSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!/ED/APG_APAPAE%B_AC_AE*_HA@AHA*_D_E_E_A  N"-cEquation Native F_1013523270EI_F'Z`ZOlenfo ObjInfoNative^`Equation Native _1013523291ivecF2Z`ZZ:Ole522383 FObjInfobd; DSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!/ED/APG_APAPAE%B_AC_AE*_HA@AHA*_D_E_E_A  s 2; DSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!/ED/APEquation Native _1013445900ivegFC[I[O)Ole410209 FObjInfofh312   $%&'+,-./34567;<=>?CDEFGJOUVW[\]`fghijnoprstuvwxz{|}~G_APAPAE%B_AC_AE*_HA@AHA*_D_E_E_A  N"-1@ DSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!/ED/APG_APAPAE%B_AC_AE*_HA@AHA*_D_E_E_A   s 2 EEquation Native *_1013445950AykF@L_[fe[Ole  ObjInfojl]  2 c"-1@, DSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!/ED/APG_APAPAE%B_AC_AE*_HA@AHA*_D_E_E_A   s 2 1"-E 2 ()N"-Equation Native       H _1013446012'()*+,-./0oF J|[d[?@AOleDGFHIJKMNmOPQ VWXYZaObjInfogihjlknopqnpwvxyzc@@ DSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!/ED/APG_APAPAE%B_AC_AE*_HA@AHA*_D_E_E_A   E 2 1"-E 2 " N"-cEquation Native \_1013446070musF۝[`[Ole ObjInfortc"-1.@> DSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!/ED/APG_APAPAE%B_AC_AE*_HA@AHA*_D_E_E_A   s 2 E 2 "-r 2 (Equation Native FZ_1013446120wF[P[kOlenfo !ObjInfoNativevx")c"-2@ DSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!/ED/APG_APAPAE%B_AC_AE*_HA@AHA*_D_E_E_A   s 2 r 2 1Equation Native #_1013446175q{FPP[j[Ole (ObjInfoz|)@> DSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!/ED/APG_APAPAE%B_AC_AE*_HA@AHA*_D_E_E_A   E 2 "-r 2 r 2 c"-2()Equation Native     XY*Z _1013446224'()*+,-./0F[[>?@OleDEFGHIJKLMNOP UVWZ0aObjInfofhijklmnopq~vwxyz1@> DSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!/ED/APG_APAPAE%B_AC_AE*_HA@AHA*_D_E_E_A   s 2 E 2 "-r 2 ()c"-2Equation Native      F2Z _1013446264'()*+,-./0}F1\L\AOlenfoFHIJKMNmOPQ VWXYZ8aObjInfoNativejlknopqwvxyz9@, DSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!/ED/APG_APAPAE%B_AC_AE*_HA@AHA*_D_E_E_A   s 2 1"-E 2 ()N"-cEquation Native F:H_1013446326F.\@I\Olenfo @ObjInfoNativeA@] DSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!/ED/APG_APAPAE%B_AC_AE*_HA@AHA*_D_E_E_A   E 2 "-r 2 1"-E 2 " N"-cc"-2.Equation Native By_1013847413ive  F*\,2\O)Ole410209 FHCompObjI\ FMathType Equation Equation Equation9q< N-2 FMathType Equation Equation Equation9qObjInfoiveFKOle10NativeFL@_1013847367 FI\ P\OlenfoNative MCompObjNativeN\ObjInfoiveFPOle10NativeFQ@_1013446729F5o\s\C< N-p-2@ DSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!/ED/APG_APAPAE%B_AC_AE*_HA@AHA*_D_E_E_A  ++1Ole      R ObjInfo&'()*+,-./0789:SAEquation NativeJKMNmOPQ VWXYZTa_1013446744ihjlknopqF&])]Ole419895  FX ObjInfoNative)*+,-./056789Y@Equation NativeIJKLMNOP  FZ`_1013847453iveijklmnop F=\`]k@ DSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!/ED/APG_APAPAE%B_AC_AE*_HA@AHA*_D_E_E_A  "-1 FMathType Equation Equation Ole846644  F^CompObj_\ObjInfoNativeaOle10NativeFb@Equation9q< 25-23-2@8 DSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!/ED/APG_APAPAE%B_AC_AE*_HA@AHA*_D_E_E_1013446817     FC] I] Ole$%&'()*+,-./0 789:cAObjInfoFHIJKMNmOPQVWXYZdaEquation Nativejlknopq wvxyzeT_A   s 2 1"-r 2 ()N"-p"-2@ DSMT4WinAllBasicCodePagesTimes New RomanSymbolCourier NewMT Extra!/ED/APG_APAPAE%B_AC_AE*_HA@AHA*_D_E_E_1013446884iveF0Hb]bh](ZOle441890 FkObjInfoNativelEquation Native Fm_A  c 2Oh+'0 ( D P \ ht|DEGREES OF FREEDOMEGRCOlsen OlsOls Normal.dotFJohn A. GoebelD2hnMicrosoft Word 8.0@@^@"$@"$i~ieD!UnxƊ/82zNkMߌk#,KzךU߬3ps^RuKb<[eMDoDd< x C Aj{2bWºujDGk>d`!6WºujDGk` @xڕUOA~3Ƕ-hJ6Ih$FTK]p K B#!z葘pY .M1ML0Xtu Yvfv4H "X,rt)9릦w͈.y #kp0&wi1cF؅=@< 2u$ ^" 52n*fW(q M_~Y(>8-)/~qr<zfmɼB|ߑJ߬_My'~EpPt5VRzb*\6coRʁ:6u,gtl8 ,ʁ:utZ*WYǦ]˵rQ:</4m*MP)KI4_ʄk3\QG~󶳞wMűEvǟۙqֱgdeqo8NP,yMƦcYG+X/}cM3Ů6Kd:TwJYMe bw$7)ᑟ#> C!Rh-|~"`!GzD# {=u&N V!bH |/fDo9bxG%Ķ< pO=PЭ$Fj3W5(Y:*۰"has|*R؝HyۙkĎA=]+0Ψ:;HsK*ca/YNLgTDd< y C Ak|2w]]s޼4h`!w]]s޼44 @CfxڕTkQy dChm!&E1l$AGM8y!GO"+D㼗$l>̛7߼ya @a ~ ёu]!]9gs!zY}ΐt9yr7V:$ # CX[ ]ec\ex͓Ed"%F p& a{2hcv7Pen V/WJpR9z86Q#}_``#ޅ//U 3vhT+mp= `0ftR fAUEELZX1qL} ZOEWmO_'I :DWϓK2m\^-{}#[4L,Mԟ>7BԗZnש z3em%re?Gn_HOM^*Mygm.6H2H$UyqLR 9eZoewZAIsOQ+='X5H;Xo MqVS (#Pe֍ 4>SG$NꖰDd< z C Al}2 /n\k`!/n\N @xڕTMLAft zPbH0&&,H5hKi*na bj !^j75X 1^,%NyyOxCZި15vy/NGPV=.I+m~_^ ZF",pCQZP۞ˈ1E{h7iЙ*la+?#DYݱ+/g1B@ Bu#g0ҩ@jU楏VRٓH8~e8].T2سTle haWXzk5 W e$jѦ'ɦ$2_ ݃2h2l(4DdD < { C Am~296byEϥo`!x96byEϥ@kFxڝ_HSQ]C%: S!8u$DD|ZӦ]pN6cF =\ԓBo=ie o ;_w;}s=f D,Eh6V94a}v;ZjY6`/\]rL 'BX% Lj Cx_C*h+Oh^AҬO#5fW5 #]2q}>dcj J ֣(J" φyve2y,='ͯb>+[MUZ嚼&ۯC8&h#' j6E;< ' 's׆n?VJoM"}^y2랙ƔɁȍHp:?#[Q%e`5Ams'=X̗Mh2!ɴe,V=P&{330dm6 )12(5Y|D]NMS=s$ r7 gٜ.JRPJڱK%\KЋK? TT|d(o@*?O `]:}|( Kԁ3>fϟjkOz DdB  S A? 2vq6[t nf)4Rs`!Jq6[t nf)4@ Rxcdd``ffd``baV d,F1J@YL0upYFf> KA? r< %! Hv\a n:T $37X/\!(?71!mظ X.P1o F\& ɕ+0L4127)?V]^@`&$nҭdBneDv+dFɦ5< %.pB &#RpeqIj.CN4ev. l@9`oRFQDd < | C An2zPўsSc?1u`!zPўsSc?1t 8cxڕTAkAf&i6Mj m! ^l"FI54Ĝ,SARo^z(=yӣEV46i Yv{޼@|.Iw]%=[{pI8 s)`G^]dK# Й2#q)䂿c $^IXFVnZzg3OƯ (&nHhPnbU{Uh`lc35X:ĸ~ňtǐ eoZZWw1C YDbշ\}19 1Ib2y(lKl' <$1x&LlP&G!&ǟm^e}.5_ʌﯨ ۻ?wM.|pS4*T.K[҆e#flBtql"Bl!l>iKtOL9zZ>wSA\p:"Iz0-,ל$i~F\MGF0Q1P\58dͺj;Al5$TqpH67B^$m{WL+I` 7=KJSq[vêMd7s hC< ?Aw/Ghf65޼y~f pJ8(!=n˥Ho-I]kaI("0]G.^]h1P%q}&#S(̞2X*feV䗗[?y7~6 C7&p7*wi:u/ ؄;a1v;8.cV aŮصZE@w0CmvAyCc"Ey4~ &1,eS:J?#p_ ,3y_)<.2? .eewXMdNk0A@}`mm%M^/UryEJ7RFN0,^QMTL%dFX^ԱϴZV"ZױiG43 RDIsUWq6WL36H B SUp BRu87(c[[In4E=,'?/U q;;Vݨ@cId [)͕I{9/ DdXO<  C Aq2zeDfmV`!NeDfm0, xڝT]oA=wZJIZ1i 6K]>b5@u(0S!&}ꋿjl̾wݖُ9{g=ܙY!d #u`ґm\HNuƢԴzKcҢ+Ơ͖(q#\mtfya>WQ)ft>s!c(WxdO,@zfU\m>-1@NlY `n||MxDc}w-o`Xuudž0<6a pzl3r)}hJe;HAuyٱKD鱙vwļK3x8 Kr^MU 5i@LV j!τ{JoݑsSJ39O~ߕl<O+y9EKYGbߟE!>Mfq BD́<kj8jCf%bdvQB6@F B5Zkn P^'ƮkkÌuvYUqcϝh3e>d` DdX<  C As2|*[_)sZF2X0`!P*[_)sZF2 (xڝTn@Y.]lp@ TRGĢBMH*1DJ*I 9QR84|_ CN~oH٭SW&(jX<3onf !G!h4^m6^f$2O讦D́A!/+=NQ$Jwe"ˬ'Ul, ޣ\jo~'QwwxCi7i,A"4%;?FQ?Fq^۳p`xM=?4I?C(zXԭ(OWyQpDPpgU~Qr<}"i/ϷoO'ITQTr0cjknT}1P{ͪN0J~ntW.ZeC*y5݂52%g=HZ߬cgI$&"G#_ 4~FYE{r>-waCZOfh,rй;y4q(2/3!`Dd<  C At2ABl`wѸa<`!ABl`wѸa` hn xڝUMhA~3Ͷ`FBXPB, 6],b1յFv#1/Ի^ă'^*xhDzAASn6)taޛy7?]`bK6 .] 'ufY[R B-{aI_l +a^?ʤyEQڣ/Ȟ1X3B/_Q`YUe: >45r |p͊^/r7ӛ a`K]?5~ c\zDzr/<;XC hb JUc7ʥC>`N&? B$LV:1q\"ʂH\N\(GI9uޒSBZGޕI$Ap0&ALyW? ʺwd]Clcґ+cjͬu̬̚wezM>k{osϿ$"s7ͦ7 KJ87 ;\~Q3 "3H#b@/h:o6SV<޼}g2gCWrܟ3Q>RTsf}*R8f]]5Gs3fLbxe47SM+ A⇉"xd(l8 Xfh$n& Po70j[#v-:;l7]A6 qmLͨh%^$xٽg?)UDdX<  C Au2\'jO0:=fuB18`!0'jO0:=fuB1@2xڕSAkAnkݴz=bI6 iB0)լ54D=R%ģҋ{@b)7MƂ8͛y[B>  (F$BwZlˈy$m) H7fC;p}&ޕD>HEIxB+F*a4KOMLOOެ Dd<  C Av23^  .=<Ώ`!^  .=<@ HxڅRKQmk`7jQ!]*ƭ $F򃘓!^ HpFŃ;;˲ҹL~-إҚW+R=?5bZXMLOUբ_E2sTz#3N'hg|W_6':k.#LIqw=訓U 7:l3J ^,qi&N9SJ{e- O58k~͍ȧFR!T Dd<  C Aw28^ժ m(()D`! ^ժ m(()D` hn FxڝMhA&6Ck?bAi $(Ҵ]-b1ZIS/TAЛO=x`MRP4&qv,Y͛}~.A($)!eRĭ Qsn,v:@/Xt=~w pAƨSnM K*eY\,N7C6%X7ZHɤr_(v @F6 F,[]K67WshROm9cIjc± CcU adZ7|f&XӍ8[p9 JBh]IXU+*R[,X4J; ETYqQCeo <}{,xI&AI~ؓh81UN I.Ӳ G[,ۍX_M>5V\m 4|vIFgr{[#C `i뛕vm> ݠ1͞Т&lY zx; ߊ3Wֽ~n-uw ._b}rzհ鳲l^o}epb|/_׊s E\ zŕ~jXWџ<93v`|[&Q.٘SWR;A[sxKrgcOnИDdX<  C Ay2#^w晓^e`!^w晓^äHx]RMKQ=DEAlڅZ11!4@bJ>LMB7EpE@XdvB{_fTs$+ⴤ!r4iV VeQFRPz3ab#N ,:u>N{/WxY'bx{yO_***W~+]F;D{}p۽T` F2fBHBE9;eRQ+M;م)+ Sd*PP{{\)_^fvᵪl_RR*&6:ͪ R|9|k7=3ȭ27]xj FK2Nn}-s?L !$5CN,@3K<%O\`GrY zwb\*Zm>'q'4AGsw_fakDd@<  C A2@W ~B:w`!@W ~B:wʨ xڅRAKQōuMAj TcɢB#vĔlJPh7/RZy/ c̛ov@!@`4ނ(A$8Vh;fs" Sd50X%L\0>egsɩ<^ [2!DDn|~ Hi۝weO@{çy6tY$KK9Oi5qr37Y#7)I Dfw04YRWjyAs׼߻NSn$ cUhz]~1b++V-2uת}xʰB4\sFY-PEV~``-׎gy9Hb1@ͪ,\N&NJJN#}M+\杯AoA;Of9Fr]Dd0<  C A256F"lE#H ĄÞ`! 6F"lE#H ĄkHxڅRKAl65m(AHm5Y1i0[HLҜ*"ĿEZ K>!sM_V ) `KFpmWkQ7.>2Iz'M*FW~5 N ޫ5կ Hrf̓ߡKYBmry٫v=?uZ&ZɯM#bبy|ϦNf?/'0mN0t]FsjQ+K?2܌q$xiP~ҜDxt:)pBkow;S zï#zI=MKїDd<  C Az2Y?g%UIDD5`!-?g%UIDD~@  dxڍϋPg6-$z E]Zzִ J]BHR=)xR o z?Ë(q{RH>y3B@G Y~ 1!8ˉFHiD0L؄X-&Jf'><[rP?7PgHMj*0}!IYLh+oPgk0a?ޛ _矏X @AL[x:'Hٷs\pZEAw|u8N471@`VuA?أQ #!ˢ?՞> ~ PtU,UgEy۵{?^ad9vjLٖʉvh,M3ػnu"f Y-$rTe `Y 6ecM|vEmLGz,Pw_3߀(%wu8B|Dd<  C A{2IUO%YS}q?q`!IUO%YS}q?` xڕToA~3ZH V$ѴMx[ V#7uSI] ]/611 <ֿo^/hbI⛙]7o{d81ZR X2E,@Ufc77`c9B%1Sާ-zGv=zS75#Q:fmz^JwjC&ɘDp$@@_5r-*8Nq2[GIpqy^q?:>ydY:;܆~$Jɼ,l%EUrQ:c:XƳw$:܁}oom+9W.Tn xPQQm=Jm̀gR{T+zz]$DB%m5|gWܚZ"U"aumTEYJuq:6+\5oA(6\(%k0@kdgio)tٖ_b0IJWq c${M Vuqs.Gǭ$˦֚-a;"^$<Dd`<  C A|28C7 iA`!8C7 iA@X xڝTkA~3&FB$xMEL&Eku)HłƓ'=xCA<(BlI"k2oͼ}ofS7/vJ%9k.Imk;B4ѢOm0 >|E*ja%QY@?^sZRqYHkO?:@B-q\ %5c?z|oyS'}o7 eDgv4&](hg"[ZcCpOZт։h6;`HN<Ԋœ#rY9PIxv<1{Y9P#1ޒб#98 `PFE(yfeA%wܕG6%[)<'/8:I۾UIll$˖nvz}ڪ4hւw\{Y#aO=nUesWsZ4jE-pYY#g\2kDC?gT֍ItRVrrBa态ȃQߞsv  p3,./cqB[K' 8mׅٮcvy X:bn5;臗6}bbDdD<  C A}2Y: J1A)?Sjw`!bY: J1A)?SP d0xڕSA~ofslPEp] Fa $Fb*ANuvvv\ags(뛙K{7ߛ7 ~hbh2! @+x&YM(" #ti% k0ȂAҼ>LRt:Ӈ.U|9y `JYU%jp)/Ɋ *  7IpB{&׳:($PUk<@w׿fkyv&oĒ8b)ށe3BҁI'U(j#LK ? lmq[y-Z/ nHkݧ+z w7v,`Ϗ߲pDd8<  C A~2\NLjđ[r`!\NLjđ[rTv xڕTkA3IM F$x(mXĄ`Rb\j i$@A ԛ_!޼z<8)!6"t0t,ڲuNԱжt #  ,pZZH:/>rt~!_"<, JU[Fk3޷& 23+};WþM}"*Ƙ'2 @lدiB0'^Kuyn>ɗȭZN>/|,^x|K+JlQ+JϿFAֽItu,̉qcLz'DY>L1)=.E6^#] w O2Zhe`g $ ]'t*_]W+Q.%klqO7 gbv!O^BR:7E|6njC͚JzA͞^|PS3/"%KW3 ;fWH>AR A(,A DeV X[??Љ#a8<[X62qq J )t -+0'} s-WΘ߬w[쬗  rDdx<  C A2Et#zVxEx\.g@?^{Dd<  C A2k3۩Fӻ`!k3۩F ~ (+xڕTAkA~36&1X\w);į$rwE!_i-uG x@]sNKBmn0lt|Z jHn `c/ȣb,rL$Dd^6wfJ z/;kvtWr ڶܯpx_y\1_z닕Vm1 uq9>Lr7B\ʗöU{`ܼ;.ϳgRu [,#Y> {lJGrlQ:Ł"X G~O XSPBS4A#n[0'hB uοG`Uz7p=bu[@Mb6NL3:t ;쨻$tDd<  C A2RbxQ RYGN`!RbxQ RYGl xڕToA~3@YHXLEmă'-ll1@<7-)=٤i{`Jιgר' Q"LwN ?3f0 A \0d͂(Gg' I}a PPVApoW?8?l|i=\ %0\I|8XĘS@&1C!*3]OZ_kwP7UaR&}Iĉ 5$'̏F!) Ka8d6fwEZFB6l*lUT``86c$>{lTv⾓U⽓b&3l:Z-j%x Q0(s3ҍFU7Rמ42ԩZ;l%r]8lD[/"%K[K+v[,t:_ʔ4j$L8P39 93cmC\Na?ecT#ҳDƨp09*8"p[z/^o8@@vrJ-yʞ~سńXnsDd8<  C A2,caa:@Neo`!,caa:@NeoTv xڕTkA3IM F1$x(4Y,bB0) i\j4i$@A Գ=ЛWG/Ifv/;o޼ߛ7K P NJ ]! ,FS-#C.nΎ`]B+KRn@CQЯ=YDYd%@Aɷk;* Ira{dEmqR̕>qaa|&b1ccgv6fW4!P)S| Z+|^+큝E&sV>|x1 O(}A(?YdMXa<l&QV iLFdˏeMH`.i\F-;Llz!~!۫œN3=*{juWʩ-WtiЕ?lT?)F ܅5^K %p̝?l j\2zEDJ ŗj$p} RLUɀ Bq`rg -s3뷯#9n ˨i7|$"pwl]~1(r1OD/v/GHBDmso=M{vKL~Dd<  C A2# 2:(R5`!# 2:(R `dxڕTϋRQ>ƟZCPhhfcF12WE$A6Zf&ڴhiӮMkSϧ0xy?ιw޽ @2 =1F&X-"ti04" I}5^lSi 8)̷/DӘĤBVXN\}Pd5*ϙ b9l6*P~7 ![%^kid]&*T4t pPv 4pN#Ih|^²"݊'RK-:NvR\DGVo=eQdGZ5)َ4\7U f”"G*R<gǧƬU*d t^vz=Uiת斞lm( Hc'%ݼ۪--Vηº6ȬyRVG>SЌ U&4Ќ10#IlPʙf2rɐ9b# >9>S=0<S9ԂU4˼)AhI'QI8.l.ǟ;?_Lkcw4k=K`NώlI4 H^;sUJ|$Dd,<  C A2oBvQUGS`!oBvQUGSxmRMKQ=MEAl*؅Ją ijh".vH&jW"?] 꾛 M}Th{=yCuBHy( =ZA%c*ȨSN Y@0W._8-c ~c92*|J#24K_ _H'Voauͽi5]Tn۷\LXO6,R${&Z 01o-n?=#}oc i))U˵E`b4+~X_l}*v"[WֈoM[zЖMdSZ=}vx/;ȶ^zN4IAFQcd[EI}7V^y*g+yn$ceu`3uZM6'u8>W8*ڇW&>޻jcXl3^ 螤qL%8y{Wo}bDd8B  S A? 2eag9%\=`!Teag9%v R"xmP=KA}3I6&h8,"$ZP F9?3BuW*?? b%".,G;*iGLROuVתmΩ%,CXy*Gr6vGav/ 3'_v0ܑ "'^dt%}:{MuK}M0[` 8AGr%Km;Z+Gl|ӿ|;xgsAZ%K6Y7y-&8Az"N; ]o^j7GJ®Dd,<  C A2oBvQUGSS`!oBvQUGSxmRMKQ=MEAl*؅Ją ijh".vH&jW"?] 꾛 M}Th{=yCuBHy( =ZA%c*ȨSN Y@0W._8-c ~c92*|J#24K_ _H'Voauͽi5]Tn۷\LXO6,R${&Z 01o-n?=#}oc i))U˵E`b4+~X_l}*v"[WֈoM[zЖMdSZ=}vx/;ȶ^zN4IAFQcd[EI}7V^y*g+yn$ceu`3uZM6'u8>W8*ڇW&>޻jcXl3^ 螤qL%8y{Wo}bDdL<  C A2 {AąTZ2HO`!{AąTZ2HO( `\xڕTkA~3@&1XbYj3pR.lO[R^ZP# ^HG}YPItLu8L(5rWӔrD=B : 8rIW4}ۇQ{%ű˦td33 UjPhU'=A̓y厁kݵ<";·nR[ίk]qwAl9'5.* T@T[)*(=ꌷ (t"XAC& `BP[ޒёvrn]Osk*U6QR j݂%2؜9e)]LJh e^*ZbK-`xO:( Wipuculz`Lw6TMjxB z[G̛q%7x7!0N2Ro5޾o^6|4`r_]e#=M9_zH(z2+VY}iFs7o0f9N4VM̍Vh3l1pVF8VX)^lNZ䎾]C+JEḚwyr:8lcN[x 0=R;2^Ⱌ@Ԇ`Dd(t6d  c @AZ:\HWDiag.jpgR-eh~q%8$0F|-eh~q%8$0JFIFHH,Photoshop 3.08BIMHHAdobedC   s!1AQa"q2B#R3b$r%C4Scs5D'6Tdt& EFVU(eufv7GWgw8HXhx)9IYiy*:JZjz?<h~Z$~SO͛6lٳf͛6lٳf͛6lٳf͛6lٳf      !"#$%&'()*+,-./046789:;<=>?@ABCDEFGHIJKLMNOPQRSTUVWXYZ[\]^_`abcdef6lٳf͛6lٳf͛6lٳf͛6lٳg5mOҾxďyٳf͛6lٳf͛6lٳf͛6lٳf͛6lٳf͛6lٳf͛6lٳf͛6lٳf͛6liWO=?6lٳf͛6lٳf͛6lٳf͛6lٳf͛6lٳf͛6lٳf͛6lٳf͛6lٳf͞`ֿ?-?J?)f͛6lٳf͛6lٳf͛6lٳf͛6lٳf͛6lٳf͛6lٳf͛6lٳf͛6lٳi_<GMocW.nlVCKmyãƤUX7ƥ+̷̣_Ԟ]^EmkEԶx#ᓏ`w QR9-zlٳf͛6lٳf͛6lٳf͛6lٳf͛6lٳf͛6lٳf͛6lٳf͛6lٳi_<G"?2`" D [g,m23 42"JǦ~zV +iWJaC'6Ǝu Ly'G>Un3GY85į<,3wcڴyk_^j7?榨מ-uηKi4o1s i7'9e8Ƃ\кv>^U!gɢ/ @?y{EGǒ<}i5kQeg"RIlٳf͛6lٳf͛6lٳf͛6lٳf͛6lٳf͛6lٳf͛6lٳf͛6lSSĎ<5O/ypJ-fe*L yhpkyvh^Ku~d\!sMRf+ 3~s~P蟜Q]y/Y:Uǔ[4/̯ }V%ee > eu@Yf͛6lٳf͛6lٳf͛6lٳf͛6lٳf͛6lٳf͛6lٳf͛6lٳgtoҚ$v ג5y VKys:U֑Z7[9S,7Vq9ߑx.4?$YpMHUu+ jF(e'$^\PQZ^Zuo zrhrl|q <sm:bh}mV{ \R='_IeOJxqiw Uh卷WRO3f͛6lٳf͛6lٳf͛6lٳf͛6lٳf͛6lٳf͛6lٳf͛6lٳgtoҚ$v ٳڈ;DЬp1'J6h Oo(gg~ly[׋sJiJ6|_u_O=YfR受5_/(ر֟[K<ˣ٤lOCK\Zm\Ѽϣi~bk:ݬW>e*msm:XBU8k6lٳf͛6lٳf͛6lٳf͛6lٳf͛6lٳf͛6lٳf͛6lٳf͞^5ZJ72Nu14}HǐP͜{H妷3L=F+I-/aR[[hg@s k67ߑ^ZhX'0hXIx,]ŹAzs<8^WP?ΡXn:nauerOnEk~>r28N?ae(>Gi;WS VV^lٳf͛6lٳf͛6lٳf͛6lٳf͛6lٳf͛6lٳf͛6lٳf͛`׬lkOo;75?}oWm8RTTSo$2<.y?Us_BFeٳf͛6lٳf͛6lٳf͛6lٳf͛6lٳf͛6lٳf͛6lٳf͛6y~[GY)G͛6rϏ7,΍G[}Wb@=M/LiQ5>r^s~}οߘ/yPVcˀS^p>s`PMYBayG˶PRV;R4vxd\LxEY#MU7W#͞\L󎿝e!~]*-WQVUZjLOyf͛6lٳf͛6lٳf͛6lٳf͛(`uk7\˭&u0_\Y.I,“JF͐:ayJ1 hwiakySҭe$ I$FHR(F|_FѴhb5+е;gV͛6lٳf͛6lٳf͛i U5=[Ȳz) f :3D5C;uO" O珑ma5X>VƝȷgzd1!>͛6lٳf͛6lٳf͛6lٳf͛6!uumemq{{qO5αQgwv *M\kS-֡6iVQ$B#( a>vŴM#/<?'|zE mԡ Qd6*97w垃q}+ϗ-SOQZ Zsflٳf͛6lٳf͛6lomg4z6lٳH]kڂy.Am{o9~T^=rHk-v|Tch>NK6+հR{9K9N :01]rϟκGtmٴծڍ'̒ڇϑ5/"Ej5EN[oH~zPk>q}+P帒_#=JB@Dh@M#~^aׯlE«PS畿=\k?C`r鶴HsyT R؟T/?>Mֹ_#iq˾_C\^5eTGG_~Rf$js6{9,N Ym"?3B,n#Vf͛6lٳf͛6lٳf͛6lٲ97c>Y=r~Vz(-NzH PIŸݵv9/%g?&.5xK{+{mv-:dZ^ũjEP eH ڬq\6lٳf͛6lٳf͛\Em`DR*זӞXB|9?TN*8o<鮒hfC[c=OW_2bmX[yW7 ފ Ԉ $u}ҵ__;kJ?&r_<\P#yK1.ak,c2FŽfމ[>mZHAso: ")du`Aalٳf;ߗe۪\O]kzzmyH"Y$;)΍~[\4Qk.9!}@DZkXyb2( Jlٳf͛6lٳf_*Ϻ_ BjI!c(Y\4U3>VOύ]CSpkhvXm h ?&_ef͛6lٳf͛6lٳf͛6lٳf͞_Ji3f͛6l=?)44?.y}_̏1<\ ^J-v y_{J'ޗ9R``&QA}}t>Ϫ3%50M`&g[]Mll<bI#"z=L#G"G]Tv ֹ 6:EĆ/OmXǡ]1˿02,G&ܑ1FW9f͛^Q򭄗mwn?5/*EyLML_ f* }_M/]ѯbԴ}j 'Q{kXeC]09cG'J󴀛_1ϓF_@Υuζ~m-˚,pIU'<8m]Y2Rjд;˹y|z:yr_H?0|87X;yW̞捡ysRim#4rکa?|:dj:56󍿙]!2MZv}~4?Tn_lyf,HZy_qSJǫП[^P(޵UJȶ+[g]W<Ťyoʺui-m#XA]EIܝ!͛6lٳf͛6l埛ߛSyP4)GJj5E/4ҞUTVa?,?(|_8~}@{́nim0|g8<ᵒn)Tu}P|~͛6lٳf͛6lٳf͛6lٳf͛6lSLĎ=A6lٳbsCR}O\4Hлuf QTnƀTqɾa_4eiiߙt+ [3+2NW2_Lٳf͛6lٳf9Ѡ~O-5כ|d AW#"ӆ?@?m~4 _3x̗||Ŵ&(v~ZKȜ),ZTӝil/LjWyg}y/?~=7_Vgqc..9^;j.v6 Nlٳf͛6lٳg Hރ;,~ZVi,wz\\L{HDZӓBO7#}]^_WYϟl~l4&7&m!&&5'ˇı ͛6lٳf͛6lٳf͛6lٳf͛6lٳ/_i_#Glٳf͛ m+M״OClԴfkWNCqmp)OUtbxⶫyC/^_ڜ^]MyRsEԵ~Oւh/;yxT$kXQd_ NycI?=?-<졚̾\3yG *S:T9׼w~lS[h_.O -sLK- %4d垑{"v>4ߛ@V-NϓJ k!'}ՐʧSCsL_ ן|2qyRjz)cxF:uٳf͛6lٳg?9;>~Z^h;Z?|$1Z95r6z| ~'#=(U?.T51븄rNyB>=>ݍ"!-6lٳf͛6lٳf͛6lٳf͛6lٳf͞`?2J?6gf͛6lٳGU7w䕻%\~u3-;'JWfђNaE9o97[&\Gvb@_q?zYL2CɺloZi O3oɟ!Ly;.qRY k:y_pV!ǜkF<{ rނ8ߩF|&=.,o3y;P qyKssiG(KSzRl~ҿ!ʿO<^-seK+Q4r#F28d`ٳf͛6lٳ͟ߝ};_{J矙 vD_KcI@Kptu~KJiz^uwy+ҥW榮uMn DTAk-c"(c&nכ6lٳf͛6lٳf͛6lٳf͛6lٳf͞`?2J?6gf͛6lٲ1_'?>OG|f/ *G6obhe H<['3o˟V^w~oyoϒ韚&NҴ7F*# k&>U*$y_sV Ǔk+K;?VUWns/ί9˯_?D-(Z/ˉllf5SQ3 y3a^Kдjl!bڭ"4^H9"5)T8 (Abϗ?זyO]oV:?ռwsåwo1zf&\;@x6lٳf%blyߑvZtV!w&_$Gw:[T;Ip[~T~Sy7g0y;vsPֵ֧WMRԯ㸹'vU :Vlٳf͛6lٳf͛6lٳf͛6lٳf͛6l [C/4#fz6lٳf͛6s_˭o?io&krV{9my)-ʓFko>ce2on|b UF;u61JdN4"{oʟ ?o|\HJ<ޙ2%sǚ$?-m_yH{O1yKXvIo$s9EG9?,dgo<Ǫy>T-ưKM:JGW!; CXjn6<#CJz^?/=O'SwK)_(y7\YM4AIu{<% k>BҼ]/ܤ:|V+*lC;$m|忕^i䏝tM^ZUMEe.s6ߤ"_ݻ5nҤ6lٳg?4꿓z^_鿝ʮ3LwIfr_7t#yDAFyeiX3,J伒HƬNNsf͛6lٳf͛6lٳf͛6lٳf͛6lٳf͞`?2J?6gf͛6lٳf!Tg^X^߸Ƌn[Cf':Y[  ߚ~Rõ򞒭~TG^nƽFᶹ?(?~]yorZߘ~by2/sTgAhhZǨy,a څ1Fnqgs$WVc''RoRRӮ@-osm jgqWrwXϚ| >b孟45i>WSBTg+h}_H,# TnYff%f%9(͛6lٳf͛6lٳf͛6lٳf͛6lٳf͛6lW=?6lٳf͛6rO?Wm[+&3It{M/tB6m:+М_^@X`X޹:j1Vu 9Q݄TQARC]g? _?cc1KQkMO[뛺֤h*o75 ˺Z':u:/-¡ XH~l~p0]Vw>乜=ƅ<ѿI"h_uWIǞ5iSS\o%|%vPV:jKYOVפUf;ygpZr/42yLnH=8O|Q!/?2(~dhYc#ANy|s=K0l~s~@`.[;VHEM.ޱXy$@Yy% WaZ]_X{c{OgyM$ԕee 8%[]Vԧ_wCMEmCEQn-g OTѸkcr ]zk,6}&63j#,4]7_ /f//-hV~V4M.@6p1TA̺rOIm~y~^Biq8+wUGpG(%`MdZ iW3.fIPyI׊yoPӪ5Y&+y-Jei"+:ZđŨKq. qSZloeT~ݱ,6 ?N5 BGQ Ul0Vlٳf͛6lٳf͛6lٳf͛6lٳf͛6lٳf͞_7_aѿ(|a|Ƃk~lԂ=A6lٳf͛6l据ߜ<>,垴/4SB_NȠNONᗝ><qZ~)si-Nj݀sVE/,.O4@ iQZp'?󏿛C/;nxc%qJWcsM랬'dY")X"g?'n 1XV#1o1Z>L8^:ZƕjmcQU ̸5KҗIq}7ZTcٲ+d ^źWO%ϖde˻}sv {z~=LrlQFAl_gWP~6/˟^M ^V{Kؙnmd4nK+Sf)~|#U?-*]S6_RE󟔑%>pƞG<.ڤZזVP E/]U[bGZ+Ͷwvտ5Q+yYL%ԡJ@z-.omnb'HE FJA`ٳf͛6lٳf͛6lٳf͛6lٳf͛6lٳf͛S|k:5G#K*+$+n,Xw?.==[ȟpdGnbj{H55N6zlկj4d~CJM m_9Ss@0PFa#=Zly凚*mKPŊ_~R yɱam-3A_&jд3ysRYy 8G||?hւ(}Eqooyo=ZFL7YXЃgf͛6lٳf͛6lٳf͛6lٳf͛6lٳf͛6l?$_X_f͛6lٰ-eyj7QX|\^8%/$;UA$$>nydVmI*Ip'At^Kn]=<OO/Y[yoPy3%Gnkd(O~ UEu 6_הgˉ?+`9"3LAA`< ]y{̖#WntJԚR[[E9?2<{-kP+nyr/-TGͺͥ.VѢ V`XQ9"g_h?$8G.y委=y]ߕVu|ưZAyEAwi -k$WpPP,syˍ:9hqwr~f4dhCm5N'1iPC)<O:6~ok:]4?'D&˸:#1R`9sٳf͛6lٳf͛6lٳf͛6lٳf͛6lٳf͛qC Tis׶VVVZYDZBQEDDPP _6y[rFt,y_vyqSqi/)/.[yJN7 ( 'yXѿ2?+/Ayw?^Q Z-P֦3ЫX4׷3SG/QW0ATx8.Y'+OH[^ v@=yzGtm'^_ԭ ^PѵkI]Z%hj0#9?;k_4Z~n^ŤyM=_U6&lwo[[~E9- OJA~Sj0s^΃lסs3Z=v<?=Ϳ\y ݿ,_O2KlXiP(9;ЁK>ʂ?qco̿??_7C yBʳe^kwƂ2֋l73cT.)47Vit;Z9L-PQ2FV='6lٳf͛6lٳf.n缼[c4QVgv (rI1QZlu~ZiϮĭ֬-*؆لjGY/2R@Pgf%;eHIc^xu^q[ؽ'me2u&լ ~ƶDgmpiq6v6ѬP*Gt`ٳg/?4y?Қ\78L{Z7Ǖ?`%XgUKM; nDZ?y7yɧ̾d!uO$$zo-הyIxWzTsf͛6l!\H7gf͛6l3hZ',?,n]wLH?SVC2ٌ3CѬq/@G䅆tc](ߤ5{˭Or=z6ygqMyryoQ&"~QӴ.jz67zG?3~LRu!rO@m QNaR`/,=i^|};_<ץk˷5ޞJ)2CFQ-F%ٳf͛6lٳc$8cYdXK+v &9w7ik׺,d]WN̒ޚ}St=z Kr.5ySqAoG¤[ '홅uuMꝱK??fV'"uwY|}cEeneZi9NV9iz&kmXcYBߌqFTo 6lٳb76Aեo լ9#pUс ~~.qWz淔#}uKmB\"Ks,FA๭3f͛6lٳCָaQ~nO͛6l]jgS^m{_S`F4vUDR<8z)g=iE^!It?!'b2O>_\wu͛6l'Gce~k]^\zi4_%iMڑF NEj9}miy8Y5}SqGl!)( O%aO_91m C| S]QiLI]+S1JXnJޟ{uV{-kSunF{"р"==Wz/*?'f"5$` 6cPvGon5$O[Ӷz{>P\__?~x|y*+IrU~& 'w>xyqߖM̚?%e_VT/J\\죔֨< }Hw5|8A\=Ʃsi)RexbPй׍[[O(kZ}F:QG#HbbO vf͛6y?,?/ٳf͛ yWAᔂ+O뫱Nt}OWT<h44|۸ p0kt&Moڽq8?0ySgc?2eqw75Ipɷs!@6Xlٳg9]}b_*Xy1<ǚ5ܸKIŷ7-j_6X~cO$[s˳k4;kޓjUq)hj-uۉit ji>WBvy{FRSߕ|&@4*hV.ci|["Aٳf͛6lٳf͛6t;\5XRu{YM:Cqop9bN̮TO/<-Cr>Kl-#AӡX-mYb 1s͛6lٳߖ9O9As!-,>^­Ys!zt=C6lٳu~jiߓϝn%5Dx4'Rz 4`7PS_ߕwFU{h_DEK[u IIs͛6y ϟtn+8. ~u~z$i=ɥ"Jw:;@CM±|_lM(=]O4qy{ro--I$X`9g5~}~\~xAߙT+3\MZaXv[ɞ$(,*13_&I7_s;/|ˮjVW(jMu>aX-4[_9aj"!md~$(3eU'?V6^h+7u7Jc}=z6y_r~ҿ$/7l*e{^w^^'/)+\A (A~lɦ y^[ߕU_Z+[oV 3f͛6l'/ SPf͛6lE~z_~e̢{qqoyzvx&u?d粳f͞1W9-[W_7edT=z{^@w凕4$y @ו8z~j]#y$ػ䳱,ĒNL3f͐O _eW 2}:xM&iW0e:P__212yK d^dG4Dj,]BTn3տ~PO˟!Ƃ4W4F ~۪2{W2dgAז*1zx̝Tf,~ULR ^K4MGz6yc?,?<3A_,Ϛyz5Kt5+=Ory?q]#^LE?=ujhQרέo,[y'>OeQgOm}J;tjF;d9g/97uٮtKuo(OakVda)@,F`|{)YBysWlԼszߓE|t)ͱDOBj{,H8U-/#\GMZ'U ]7C'((EnjRw$6lٳf͛6lٳf͛6lٳf͛6lٳg,?)?}PZz6lٳ_>w:Zy_K٧trY:ߘ\@m!G%y\ ;|'yk~PKϔ4MJAnڜı6Q!Af!UEY"|_}SSgvǍ P{-2VtEeZ;Eu1j~" V|.Re,ihz|+)#rI=I$͛6l9Quiߚ_B{[/oPk+obR*Jɩhzu([ef >,79?I'6 CEt/,iVW$ӹ?ʾ͞VFA/毝jXE/m4Nݩ͞WE|9uW~iڵ渭#~T=E6lٳf͛6lٳf͛6lٳf͛6lٳg,?)?}PZz6lI_1O20]ՅƩj +kKHisਤgw4]r[ MMPG/]&-Ѵ¤I?}/++({cR$*$hx_κt)'X\O1Zj_M%[脎2)v>Vhzf}6Yz]I(aTDPaf͛6lߜ_nJԵkUTIVR-֗D9E:|s[5jF}\_]$r<ɣNM]B+(g[l5酽\\5HHRƕ;('l_ᥕƣRݕߞu$}S_ۧA_G"ߟ|9Eɞ\5ٚBiܷ֒"j{qSqGʷԴ%hYiIgkgw;S6ycqt 0e '-nc}F?C7 >y_1_ZP'N<֎d:+]͜ry3qVVTI-֞ʃ:g-?$Ӈo[iiv6ШHUDU*tųf͛6lٳvT-݀Tk*7ZtI ?Jq%WwM-<}ƏKJu(:NIGW\}b)>]<;/,i6ZMHaAku8)Zb|d|٭YhҨ+CԄ=EqqEJ(UUc:ݗ szpW M4s 跚'/jH"յ-[yYWmbۆǦzC<%`r뤰lր5=f *¾͞Z?lG6y1qæGyB>QdCG[4nPB["zI,M+LѴ+ "+aAkeQ 3Ϋ9%!KO rrYyR .)u{S=Q<?'?<o:!Ӵ4Y$٤p?rƞݜu/ ,ߜsOJ/ ?0;zrꒂ:=S^?~M~U˪y#L|r?Ӽt;qƯ~qcoJu9&0~k~Qi۝1tO5Y1jMopAH4sl[>YU~PjzGO|Z'.fP@=Q<94j󍿗DyC֏iKk4LƝM.*Zz mNDҵ=gPҰ-&ot2Hې6U=M896-SUnq6pBKQZLf,ncV[lٳf͛6lٳf͛6lٳf͛6lٳf͛9搑ETRÓW~O̞rKk ][J.o!Y\g%#^lٳdK~~?֏'< Zdյ{ ~@WKxjsrPyĤ?qY|sOʜMAai 65tL~]O~ag60_&SY /+ˌd"ZY[>ɯ?$?/uq'ߝچO3?|#ԱoҚ7)V5(;lٳf͞B?,W+\~i~K!U,kcbR:zEvgs[T~kΞqOk~=k&Fz6Aigu;tHRƞW<8ceqG~yK?yҌyPתji|^S=C6lٳf͛6lٳf͛6lٳf͛6lٳf/~W'LV Z% ɧ__#f}_O+;o~P~FyaSj%^;PP_WѰ;/FCi-כ|٤J AW[(=Ĕz0G瞩`l6>oM+AJ_ast߽UM͑4^F<_4i>Pmnuj X tA8I9Wk6_qyt*r1&T mh1öSDn$占Et̚&4qZo!VN(gw5O83by:I%}Fz#6lٳf͛6ysr@m<'Y{ǭTNהڞ5;kNy0>p'z.8/j_Z7y{V0%8I y3a^Kдjl!bڭ"4k6ycq:50MbfbK=7Q>]}km"2”S_1]~Chh?/IJ?(蚆v_V\=wR39O⧖&gvv(^kl?kQK>A<|__~bY/|=5aex|;Lzlڞ͞Vk#C#PP?e_#`z+[>Vٳf͛6lٳf͛6lٳf͛6lٳf͛6l 9 9rBM,`վyVOι0;n?1uk[q )ao0aks [ K\ Vk+ʽWM24-l~c~eVE/tWr~\|y,f^HuuRI2}Z>S WEqzm?-}#̾QMj wWl^tՌ6AkiPUFb]G$?0c=h[o2~f_} kM:UM6Њ>k LACmm [[ooDDUUVlٳf͛6lٳf͛6lU5+XF -oPM RHNYIŻ(ZqS_WXNKԟW>=vƻy_r-W_ⷐ ׿5!~RCm]6{sg_3yP<^-a5CqĽ/Qӵw~".>9|)s W oO˯)yRڤ2jS/)Rʣ=O6lٳf͛6lٳf͛6lٳf͛6lٳg?9"|YXZٮ[y;K1j+O𿠬 SyMIdߚ󐟘z&73AMs,jAoF^say֟e?Ai:—.UrhԬyI8FJ78<)?@_H* w\>e1}Ʊb7n"-w ~f^jh?ˏ9uXIB濺AB H؀rs6lٳf͛6lٳf͛6l:ʬ풼ZogI1n:WNaX^^g5|9;f6ѣ 56"")jR0fj3~kivsx_ͷ 'P6=)cekY0{+#ZDEjvP+6y[qLk?2o8~ouJ1BͦA͛͞6lٳf͛6lٳf͛6lٳf͛6lٳIoᏕu~RR<էZ;V'vFqIZ}>Ϙ_?@Դv?+izׁOxY"t5+<8Mm4"~c}?$K0"veCoKrxѿ)oyOF<$QQ dIzȟߔw"eޥq_)<wHI2ѳЙf͛6lٳf͛6lٰ>Y0y?|z|ӧ]i:/؞&hڛHmX& ?(|{-| 6COjĀ 6H]YAN_!qmGNT&5ԞOH=QYo^i`DiӵAtCM#-͍ހ6o4>T[^7D.~J 9X]2Q_4:t|f}zZw;sf͛6lٳf͛6lٳf͛6lٳf͛6l?<9_ۏ7k?^xŢ$^[բ^HDqx F#l?/'SEFP{mx_P}v8- y__PIk9<6T1ɧ۱$~@(kٳd/>AХ/;h28I;IX.0;yTY:/h1Re454X,)%]_OPƻ~-(o|VrSZe̞If!-nGZM}sO&'aw1^ZN3pp6lٳf͛6lٳf͞A}[~|6HX_ڴeE&{Gv;Gw\O_5yBK~jcpU]nNA>>y_̞?2?+tX~XyΛ[0Znf"Ο>`/}k7RѴ#CZOіeG=3W~SǗ4OѺdq5;0z6ycr.I~_YT֚cэIu#=O6lٳf͛6lٳf͛6lٳf͛6lٳf͛6lٳf͛6lߕڏ/$k_1{McNfRբnU>.$*OU?泲ܥlaimE◾iJu+/,v{[vuG}?Bw-^m.}Zx5QA<PCsm2\[\"oqGG Alٳf͛6lٳ~oߔ?0c m|ǩTfj" 4qj鞼+#~FЏ?O;ݩFkK}bm鐞S垨͞Xc?-DZu1Xyzu[ZG*z6lٳf͛6lٳf͛6lٳf͛6lٳf͛6lٳf͛6lٳav:{k]Qu&mʬ|4.{#6Au%#7&<|p տv~t~W~jZ-k.u8 ݧ/{5UoEnh~:gyѿO[yH󦔍ϥ$o'xbԂA$Uad6lٳf͛6r /O9~\ݶ?lOMr:nlskus-Ui_ϙƟ0m '憇*ibSǫ[~zo#t9+dEwѕ 'Z*1}-s^3ZwsO=s+y-G/h:ST͛6lٳf͛6lٳf͛6lٳf͛6lٳf͛6lٳf͛6lٳglךRʼnx~iy>m̑v@6=HS ?Q55-#rɰ ju!𐗰uU+2ǫK|9ESrzޣUp OO?پCpC$5)=6lٳf͟*0tK_ߔt|94/&G6 x5=gv=KY6}Q88b% H1_d_>~re>wV| -< b6mL.lٳf͛6lٳf͛6lٳf͛6lٳf͛6lٳf͛6lٳf͛6l2+`GH󧗮}j9R&VYhw '6.)=D傀Sдdt=+{Bq97~^q?)*< oLH s`*MoZg/(MN/; oIexѾf͛8wG]厧ǧ˷VidU?Ѣִ`U|?αg-f :ވtVٚR XZRgUt}W\g= EH⧾ypJ&f}<٬)^ 3.svzʢsf͛6lٳf͛6lٳf͛6lٳf͛6lٳf͛6lٳf͛6lٳf͔@`UeaFS 發8ou^yX~lM)/fmjzSG.~ gcفş󔿔F>yK樣uͥoF4mZA~R~lhQlK4SZ G֏G|w>v|ٳf!y:?>p#bA6i^fЊwPPiVDt^盿05q̩kYΎ]|WF;׋O~g{4[/.hZ/NX-bXcx*6͛6lٳf͛6lٳf͛6lٳf͛6lٳf͛6lٳf͛6lٳf͛6lٳg.വFYGdC<ߔ21*r#ߔIU=A͖q4W];rz><:yUnr~͇ lEi!}-m༳[k]dDaUdu$0#pAg&9Z>HO/ʽF_LƎzU5 w~Ρo/~jy ?T7_oiFfe$MXSp&._YO8|.{g嶟SOڌ~^Ulٳf͛6lٳf͛6lٳf͛6lٳf͛6lٳf͛6lٳf͛6lٳf͛6lٰŅޗ[jeM yO8$HYHynqKHڿǟuǝJGy˚' KgkD3l僾 ?8=?+im<OoT-OۚSKeP97վw.7?,7tֿ-|1-µŤ1]ڷ<3(K6SɺW%iabB3-ƣhc_='LMi=i:1`s9f͛6lٳf͛6lٳf͛6lٳf͛6lٳf͛6lٳf͛6lٳf͛6lٳf͛8_?'ng'oOmi *R9ѿ+)X/Oae yϜ/1jaſjjY< M+j+"#uT󟖿*4|yɎYK=Ykz[ʾotKO2y/̺_|~9Yk=7M:**+,ٳf͛6lٳf͛6lٳf͛6lٳf͛6lٳf͛6lٳf͛6lٳf͛6lٳf͛6lO?,5]n>E}_Cfzb&MO>dwE9SI_䷓mMX|a]٧Я&6{[KSႤ Ǘ恧OZ`D%N\bꌇXf͛6lٳf͛6lٳf͛6lٳf͛6lٳf͛6lٳf͛6lٳf͛6lٳf͛6l?2'?+7};+WcoSJ}[\ȍH~RUoɏIoU6xwce:4WXW{˗v5]zHԼʩw[4 g/R•-o&݌%gmijw, "t ٳf͛6lٳf͛6lٳf͛6lٳf͛6lٳf͛6lٳf͛6lٳf͛6lٳf͛6tJ B65caFI#pUwq?y]ui&}'F;)!,Z)RjmM`[?ߕ ?>[?hR$ڃ*S+\j0Ӊ,m$˝MTƕ-OFn7NI픡.mM7tٳf͛6lٳf͛6lٳf͛6lٳf͛6lٳf͛6lٳf͛6lٳf͛6lٳf͛6l??ߔz>aFy_^]D-T5}=Ṣ3x9wrto&<{»*l/\V=I9#W冯y3~I~b^Dô qtoz&kO\v lٳf͛6lٳf͛6lٳf͛6lٳf͛6lٳf͛6lٳf͛6lٳf͛6lٳf͛6G<)Dםy˷ YZt- HƛgZq8~]Z?i|Q;"/hCc|k9#?y'O_~Uv35 iƟMmHy?NЭ<_4^p𭮵]{l I 25J3f͛6lٳf͛6lٳf͛6lٳf͛6lٳf͛6lٳf͛6lٳf͛6lٳf͛6lٳqWy?*7zK]~a^^ P%k=@V%#'YbrK2\[kD΍7|h嗚-g|jXCzC;A6lٳf͛6lٳf͛6lٳf͛6lٳf͛6lٳf͛6lٳf͛6lٳf͛6lٳf͜sLHF KG۫\"k;=V9mg;^GSźy)lZVTG&8*[C|u/(\ UEszvkmi,:<Dee#76lٳf͛6lٳf͛6lٳf͛6lٳf͛6lٳf͛6lٳf͛6lٳf͛6lٳf͈\^gyoݥ4W6"Œ`F[^kߐj;[A-]Mk}勱& ݪ (*~kyfJOxl$ &~6?-?:*8lo?-y ]WKFK:b`Oٚ$>3f͛6lٳf͛6lٳf͛6lٳf͛6lٳf͛6lٳf͛6lٳf͛6lٳf͛6lٳ~d>R~k[k^lQOZhߘZ4c!HCki[ Z/ґr//:O>NG(it.э>+>oek]c#+O'a./dju-PVv=VCC+ /6lٳf͛6lٳf͛6lٳf͛6lٳf͛6lٳf͛6lٳf͛6lٳf͛6lٳf̈́>f|o]~l*y5oOr"G3_-ڣ-a,xR|s89~Iy;A{@u:u,ڎ{Iu f4 rFL&lٳf͛6lٳf͛6lٳf͛6lٳf͛6lٳf͛6lٳf͛6lٳf͛6lٳf͛>vy^tבc4iBSj% u5KW6_P&zl36^et17jeohڜ\]FA2{4͛6lٳf͛6lٳf͛6lٳf͛6lٳf͛6lٳf͛6lٳf͛6lٳf͛6lٲ3yQo|ɦMi~v[3I5+q=) p>j6~R=yC{]}>3q 5vG7O,W42Jk_:o>'>۵fs -i=[}>r.nE[8YG _#wͿϕ<%?|?5 }7PCgki*T"1\Mg^_?_^\D[<ٳf͛6lٳf͛6lٳf͛6lٳf͛6lٳf͛6lٳf͛6lٳf͛6lٳf͛6x/KQU-5)t[]5?-?.}kN1-7֗w/;qAh wjw/Iʿ?_~TJO5&?S޷=o^/=6lٳf͛6lٳf͛6lٳf͛6lٳf͛6lٳf͛6lٳf͛6lٳf͛6lٳf͛?1Table6598 F5abSummaryInformation(qDocumentSummaryInformation8ylCompObjj՜.+,D՜.+,\ hp  Cedar Rapids Community SchoolspA DEGREES OF FREEDOM Title(RZ _PID_GUID _PID_HLINKSAN{3B6829EA-F378-11D3-881A-00C04F6DF9DF}AT5 =Z:\HWDiag.jpg  FMicrosoft Word Document MSWordDocWord.Document.89q [8@8 NormalCJ_HaJmH sH tH <A@< Default Paragraph Font^O^ OmniPage #1" x5$7$8$9DH$^xCJaJmHnHudOd OmniPage #2($ D5$7$8$9DH$^Da$CJaJmHnHu\O\ OmniPage #3 $85$7$8$9DH$`8a$CJaJmHnHuZ"Z OmniPage #5 5$7$8$9DH$CJaJmHnHu\O2\ OmniPage #6  | 5$7$8$9DH$CJaJmHnHu\B\ OmniPage #10 5$7$8$9DH$CJaJmHnHudRd OmniPage #11% X8 5$7$8$9DH$^8 CJaJmHnHu^b^ OmniPage #12 $ 5$7$8$9DH$a$CJaJmHnHu^Or^ OmniPage #13 $ 5$7$8$9DH$a$CJaJmHnHu^^ OmniPage #14 $ H 5$7$8$9DH$a$CJaJmHnHu^O^ OmniPage #15 $,5$7$8$9DH$`,a$CJaJmHnHuXX OmniPage #514$5$7$8$9DH$a$CJaJmHnHu`O` OmniPage #515 $85$7$8$9DH$`8a$CJaJmHnHu^O^ OmniPage #518 T5$7$8$9DH$CJaJmHnHu^^ OmniPage #519 5$7$8$9DH$CJaJmHnHu`O` OmniPage #521 $85$7$8$9DH$`8a$CJaJmHnHubb OmniPage #772" |5$7$8$9DH$]|CJaJmHnHuO OmniPage #780Q ,x!#h()t+./02360<5$7$8$9DH$]0^<CJaJmHnHuhOh OmniPage #784(!$0T5$7$8$9DH$]0^Ta$CJaJmHnHuhO"h OmniPage #785("$Ht5$7$8$9DH$]H^ta$CJaJmHnHupO2p OmniPage #7860#$ 0H5$7$8$9DH$]0^Ha$CJaJmHnHu`B` OmniPage #788 $$l5$7$8$9DH$]la$CJaJmHnHuhORh OmniPage #781(% c25$7$8$9DH$^CJaJmHnHufbf OmniPage #782%& xc25$7$8$9DH$^CJaJmHnHubrb OmniPage #783"' k05$7$8$9DH$^CJaJmHnHudd OmniPage #261#( < 5$7$8$9DH$CJaJmHnHuTTOmniPage #1027)5$7$8$9DH$CJaJmHnHuffOmniPage #1028#*  X5$7$8$9DH$CJaJmHnHuffOmniPage #1029#+  5$7$8$9DH$CJaJmHnHu\O\OmniPage #1032, q5$7$8$9DH$CJaJmHnHuZZOmniPage #1033-$5$7$8$9DH$a$CJaJmHnHubObOmniPage #1035 . h 5$7$8$9DH$CJaJmHnHubObOmniPage #1036 /$,5$7$8$9DH$`,a$CJaJmHnHu``OmniPage #10440 D 5$7$8$9DH$CJaJmHnHu``OmniPage #10451 d5$7$8$9DH$CJaJmHnHu\"\OmniPage #10462  5$7$8$9DH$CJaJmHnHuZ2ZOmniPage #10473$5$7$8$9DH$a$CJaJmHnHuhBhOmniPage #1048%4  H5$7$8$9DH$^HCJaJmHnHubORbOmniPage #1049 5$x5$7$8$9DH$`xa$CJaJmHnHubObbOmniPage #1050 6$,5$7$8$9DH$`,a$CJaJmHnHuZOrZOmniPage #10517$5$7$8$9DH$a$CJaJmHnHujjOmniPage #1052(8$ 05$7$8$9DH$^0a$CJaJmHnHu\\OmniPage #10539 5$7$8$9DH$CJaJmHnHu\\OmniPage #1054: 5$7$8$9DH$CJaJmHnHu\O\OmniPage #1055;,5$7$8$9DH$`,CJaJmHnHuTOTOmniPage #1056<5$7$8$9DH$CJaJmHnHuhOhOmniPage #1283%=  2D5$7$8$9DH$^DCJaJmHnHujOjOmniPage #1287(>$0,5$7$8$9DH$]0`,a$CJaJmHnHujOjOmniPage #1290(?$0\5$7$8$9DH$]0^\a$CJaJmHnHurOrOmniPage #13020@$ 0<5$7$8$9DH$]0^<a$CJaJmHnHujOjOmniPage #1303(A$05$7$8$9DH$]0^a$CJaJmHnHujO"jOmniPage #1304(B$<,5$7$8$9DH$]<`,a$CJaJmHnHujO2jOmniPage #1305(C$ 05$7$8$9DH$]0a$CJaJmHnHulOBlOmniPage #1307*DH,5$7$8$9DH$]^H`,CJaJmHnHupRpOmniPage #1308-E |\05$7$8$9DH$]0^CJaJmHnHupbpOmniPage #1309-F H5$7$8$9DH$]^HCJaJmHnHuvrvOmniPage #13103G \0H5$7$8$9DH$]0^HCJaJmHnHurrOmniPage #13110H$H5$7$8$9DH$]^H`a$CJaJmHnHuppOmniPage #1312-I \0<5$7$8$9DH$]0^<CJaJmHnHurrOmniPage #13130J $\0P5$7$8$9DH$]0^PCJaJmHnHurrOmniPage #13140K$ \0<5$7$8$9DH$]0^<a$CJaJmHnHujOjOmniPage #1539(L$  5$7$8$9DH$^a$CJaJmHnHujjOmniPage #1540(M$  5$7$8$9DH$^a$CJaJmHnHubObOmniPage #1541 N$D5$7$8$9DH$`Da$CJaJmHnHuZZOmniPage #1542O$5$7$8$9DH$a$CJaJmHnHubObOmniPage #1543 P$5$7$8$9DH$`a$CJaJmHnHubObOmniPage #1544 Q$85$7$8$9DH$`8a$CJaJmHnHuh"hOmniPage #1545%R #85$7$8$9DH$^8CJaJmHnHuT2TOmniPage #1546S5$7$8$9DH$CJaJmHnHu`B`OmniPage #1547T 45$7$8$9DH$CJaJmHnHudRdOmniPage #1552"U  5$7$8$9DH$^ CJaJmHnHu\Ob\OmniPage #1553V5$7$8$9DH$`CJaJmHnHu\r\OmniPage #1554W<5$7$8$9DH$`<CJaJmHnHu\\OmniPage #1555X p5$7$8$9DH$CJaJmHnHu\\OmniPage #1556Y5$7$8$9DH$`CJaJmHnHuddOmniPage #1557"Z @5$7$8$9DH$^CJaJmHnHu``OmniPage #1558[ |5$7$8$9DH$CJaJmHnHuZZOmniPage #1559\$5$7$8$9DH$a$CJaJmHnHubObOmniPage #1560 ]$,5$7$8$9DH$`,a$CJaJmHnHubObOmniPage #1605 ^ 5$7$8$9DH$CJaJmHnHu\O\OmniPage #1606_,5$7$8$9DH$`,CJaJmHnHuZZOmniPage #1795`$5$7$8$9DH$a$CJaJmHnHubObOmniPage #1796 a$85$7$8$9DH$`8a$CJaJmHnHu\"\OmniPage #1798b 5$7$8$9DH$CJaJmHnHu\2\OmniPage #1799c 5$7$8$9DH$CJaJmHnHubBbOmniPage #1800 d$x5$7$8$9DH$`xa$CJaJmHnHudRdOmniPage #1801"e $D5$7$8$9DH$^DCJaJmHnHu`b`OmniPage #1802f ,5$7$8$9DH$CJaJmHnHuhrhOmniPage #1803%g $h5$7$8$9DH$^hCJaJmHnHu\\OmniPage #1804h 5$7$8$9DH$CJaJmHnHuZOZOmniPage #1806i$5$7$8$9DH$a$CJaJmHnHu``OmniPage #1807j  \ 5$7$8$9DH$CJaJmHnHuhhOmniPage #1808%k  ,p5$7$8$9DH$^pCJaJmHnHuTTOmniPage #1809l5$7$8$9DH$CJaJmHnHudOdOmniPage #1810"m ,\5$7$8$9DH$^\CJaJmHnHu``OmniPage #1811n $,5$7$8$9DH$CJaJmHnHu\O\OmniPage #1814oD5$7$8$9DH$`DCJaJmHnHuTTOmniPage #1815p5$7$8$9DH$CJaJmHnHuTTOmniPage #1816q5$7$8$9DH$CJaJmHnHu\"\OmniPage #1817r 5$7$8$9DH$CJaJmHnHu`2`OmniPage #1818s E5$7$8$9DH$CJaJmHnHuTBTOmniPage #1819t5$7$8$9DH$CJaJmHnHu\OR\OmniPage #1820uP5$7$8$9DH$`PCJaJmHnHudbdOmniPage #1821"v  5$7$8$9DH$^ CJaJmHnHudrdOmniPage #1822"w `5$7$8$9DH$^`CJaJmHnHuddOmniPage #1823"x ,5$7$8$9DH$^,CJaJmHnHuZOZOmniPage #1824y$5$7$8$9DH$a$CJaJmHnHubbOmniPage #1825 z$D5$7$8$9DH$`Da$CJaJmHnHubObOmniPage #1827 {$85$7$8$9DH$`8a$CJaJmHnHujjOmniPage #1828(|$  5$7$8$9DH$^ a$CJaJmHnHubbOmniPage #1829 }$ 5$7$8$9DH$a$CJaJmHnHuddOmniPage #1830"~ a5$7$8$9DH$^CJaJmHnHu\\OmniPage #1831 5$7$8$9DH$CJaJmHnHubbOmniPage #1832 $  5$7$8$9DH$a$CJaJmHnHu\\OmniPage #20515$7$8$9DH$^CJaJmHnHud"dOmniPage #2052" 8` 5$7$8$9DH$^` CJaJmHnHudO2dOmniPage #2053" 7\5$7$8$9DH$^\CJaJmHnHudOBdOmniPage #2054" 7\5$7$8$9DH$^\CJaJmHnHudORdOmniPage #2055" 8h5$7$8$9DH$^hCJaJmHnHudObdOmniPage #2056" ?6\5$7$8$9DH$^\CJaJmHnHudOrdOmniPage #2057" |8\5$7$8$9DH$^\CJaJmHnHudOdOmniPage #2058" 8h5$7$8$9DH$^hCJaJmHnHudOdOmniPage #2059" 7h5$7$8$9DH$^hCJaJmHnHubObOmniPage #2080 $5$7$8$9DH$]a$CJaJmHnHujjOmniPage #2081($85$7$8$9DH$]`8a$CJaJmHnHuxOxOmniPage #20826 t``<5$7$8$9DH$]`^<CJaJmHnHurrOmniPage #20830$5$7$8$9DH$]^`a$CJaJmHnHullOmniPage #2084* *05$7$8$9DH$]0^CJaJmHnHurrOmniPage #20850$p5$7$8$9DH$]^p`a$CJaJmHnHuv vOmniPage #20794 < 8 05$7$8$9DH$]0CJaJmHnHurO rOmniPage #20900$05$7$8$9DH$]0^`a$CJaJmHnHubO" bOmniPage #2091 $05$7$8$9DH$]0a$CJaJmHnHurO2 rOmniPage #23070$5$7$8$9DH$]^`a$CJaJmHnHu>B@B > Body Text$CJOJQJhnH 0K >,0T2G8<UBDVHQY`@jmnxyz{t||ȍ<BCUXZ\]^_`bcfgioqrtvy}+ w"<5ES\\\^S^^hoyy{zz?{{3|||g}aCVY[aehjklmpsuwxz|~.EU^"{7CWdn{+-3EGi3KMRjlx s+(=(?(((()))***+,,,,,,,,,,,-!-#-3-E-G--..T.l.n....=/O/Q/b0t0v0,6>6@6666666+7C7E7777788l8~88;;S;U;c;{;};<===3=5=B=T=V====K>c>e>>>>}??????????@@@)@+@VBhBjBB CCEEEMMMO-O/OOOOQQQQRRU1U3UUUUdV|V~VVVVYY YEY]Y_YYYY\\\^/^1^^_ _____``g``````bcc/cGcIcd/d1diiilllmmmmmmmmmmmmmmmmmnnn4n6n8nPnRnTnlnnnrnnnnnnnnnnnnnooo&o(o6oNoPoRojolonooooooooooooopp p"p$p&p>p@pFp^p`pnppppppppppppppp q#q%q'q?qAqCq[q]q_qwqyqPtbtdtu vvv%v'vvvvv w wDw\w^wwwwwwwwwwxx x3zKzMzzzzzzz?{W{Y{n||||||M}e}g}}}}}}}~~~]uẁ߀ 8:ԁ0HJ_wyNfhn)ACE]_c{}чӇׇ (*.FHJbdg4LNSkmy#;=IacӋՋ "$)ACOgi0BDď֏؏Yqsxّ":<QikC[]::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::8@(  V    #" B S  ??I'4LRmnws+(@(C(J(K(M((((((())))))******++,,,,,,,,,,,,,,,,,-$-&-)-*-2-3-H-I-K-L-O--.... .T.o.q.t.u.z....../=/R/T/W/Y/Z/^/b0w0y0{0000,6A6B6L6O6Q6666778888#8l8888;;V;W;Z;c;~;;;;;<====6=B=W=X=b=======K>f>g>i>j>o>>>>>>>}????EEEEEEOOOOOOQQQQQQQRRRRRU4U5U9U:U=UY!Y"Y%Y&Y2YCYEY`YaYdYeYfYYYYYYY^ _ ____________```iiiiiillllllmmmmmmmmmmmmnn7n8nSnTnonrnnnnnnnnnnnno)o*o+o,o-o6oQoRomoooooooooooo p#p%pFpapbpcpdpfpnpppppppppqqq q&q'qBq\q^qPtetftitjtltv(v+v3v4v6vvvvvvvvwwwww?wDw_wbwfwgwjwwwwwwwwwwwwxx!x"x%x&x(xzzzzn||||||||||||M}h}j}m}}}}}}}}} ̀ ;<?@J)DE`c~ԇׇ+.IJegÈSnox0EFMNPďُۏߏّC^_cel3OQdfIVRm4Gn's'+(@(A(C((()6)))y*****++,,,,,,,-$-3-H--.T.o...=/R/U/a0b0w0{06,6A66678l8888.9:;;V;c;~;;<<==6=B=W=c=e====2>K>f>>>?}???ACDEEEOOO PTQQQQQQRgRU4U5UYY!YEY`YYYYX^^ ____``hiiiWllllmmmmmmmmmmmmmnnn7n8nSnTnonpnrnnnnnnnno)o*o6oQoRomonooooooo p pFpapbpnpppppppp q&q'qBqCqqqKtPtettuv(v)v+vvvvwDw_wwwwwwwx!xyzzz{{|n||||$}&}M}h}i}p}}}}}}}}d̀ ;sǂǃхۅ7>akoxɆ%)DE`ac~ԇՇׇ+,.IJefgۉSn 0EZďُڏ %ّ4C^dteague0C:\WINWORD\AP Stat Inst\DFWalker_correlation.docteague0C:\WINWORD\AP Stat Inst\DFWalker_correlation.docteague0C:\WINWORD\AP Stat Inst\DFWalker_correlation.docteague0C:\WINWORD\AP Stat Inst\DFWalker_correlation.docteague0C:\WINWORD\AP Stat Inst\DFWalker_correlation.docteague0C:\WINWORD\AP Stat Inst\DFWalker_correlation.docteague0C:\WINWORD\AP Stat Inst\DFWalker_correlation.docteague0C:\WINWORD\AP Stat Inst\DFWalker_correlation.docteague0C:\WINWORD\AP Stat Inst\DFWalker_correlation.docJohn A. Goebel4\\PHYWWW1\green\MATH\Stat_Inst\Worddocs\DFWalker.doc#.H*"{0o(()#.@);<NOSTUXY]^p@p@p@pTp@pZp\p@pbp@php@GTimes New Roman5Symbol3& Arial?5 Courier New"1hh3C&3C&3C&iA"0dDEGREES OF FREEDOMCOlsenJohn A. Goebel