Sentence examples for as a function of one variable from inspiring English sources

The diagrams show either the metastably predominant proteins as a function of two intensive variables or the metastable equilibrium chemical activities of proteins as a function of one variable.

Then for every (vin (Bbbk ^X)') we have an operator (T_v) on (C(X^omega, Bbbk )) defined by begin{aligned} T_v(f)(x_1, x_2, ldots )=langle v| f x, x_1, x_2, ldots )rangle, end{aligned}where (f x, x_1, x_2, ldots )) on the right-hand side of the equation is seen for every choice of the variables (x_1, x_2, ldots ) as a function of one variable x, i.e., an element of (Bbbk ^X).

As the integral of a function of one variable over an interval results in an area, the double integral of a function of two variables calculated over a region results in a volume.

More generally, functions arose as solutions of ordinary differential equations (involving a function of one variable and its derivatives) and partial differential equations (involving a function of several variables and derivatives with respect to these variables).

And so really, this is only a function of one variable here.

Starting from a bounce-averaged kinetic equation, the distribution function < f > is found as a function of one spatial variable (poloidal angle) and two velocity-space variables (energy and a pitch-angle (pa) variable).

Mears' dissertation, "A Special Function of One Variable", was supervised by W.A. Hurwitz.

A smoother is a tool for summarizing the trend of a response variable as a function of one or more predictors.

Now, it also, for this particular example, is a function of one independent variable.

Tretkoff also includes background on the classical Gauss hypergeometric function of one variable, and a chapter on the Appell two-variable F1 hypergeometric function.

GC separation was investigated as a function of one (linear temperature ramp) or two (linear temperature ramp + the final hold temperature) variables.