## Empirical formulas |

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a+b log a+bx a+bx+cx2 A2yi A2yo A3yo abscissa approximate value arithmetical series Chapter coefficient computed connecting the variables corresponding values definite integral derived determined Difference qo differential Dividing empirical formulas equal equation and adding equations are obtained expressed approximately form a geometrical form an arithmetical formula becomes Fourier Series geometrical series given values Ii.oo intercept interpolation law connecting Least Squares line is obtained line whose slope log y form logarithms Mansfield Merriman Method of Least Multiplying nearly constant numerical integration observation equations ordinates parabola plotted to log points represented puted represents a straight required to find responding values right-hand member second differences seen sets of corresponding sets of values Simpson's Rules straight line Substituting subtracting Sum Difference Sum po pi taken Taylor's Theorem th differences th value values of log values of x variables is expressed volume y-axis