Mathematical Functions and Their Translations to English Language

9 Mathematical Functions and Their Translations to English Language 

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. 

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. 

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 

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. 

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