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Mathematical Functions and Their Translations to English Language

9 Mathematical Functions and Their Translations to English Language [Pg.178]

Linear equation. It implies that the logical relationship such that at least two variables (x, y) has directly proportional and linear properties, which can be expressed mathematically as. [Pg.178]

Its geometric form (function, straight Une) is given in Fig. 5.16. In this expression X (y) are referred to as the input (output) variable in the modehng methodology causal (resultant) variable in philosophy independent (dependent) variable in mathematics and predictand (prediction) variables in engineering. [Pg.179]

There are two constants in the linear equations, which are intercept, i, and the slope, s. Intercept corresponds to a constant value on the y axis for x = 0. The slope can be regarded as the increase in the y value for unit increment in the X value, which is tantamount to saying that s = dy/dx, i.e. derivative of y with respect to x. Moreover, Eq. (5.2) has a single root, ri, which corresponds to a constant value this time on the horizontal axis for y = 0. This last condition [Pg.179]

All scientific laws can be expressed with Eq. (5.2) if i = 0 and s 0, which implies that these laws have a linear line shape implying that the relationship between the two variables is in the form of directly proportionality. [Pg.180]




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