Sentence examples for as a function of x by from inspiring English sources

The phrase "as a function of x by" is correct and usable in written English.
It is typically used in mathematical or scientific contexts to describe a relationship or dependency between variables, particularly when discussing how one variable changes in relation to another.
Example: "The output of the system can be analyzed as a function of x by examining the corresponding values in the dataset."
Alternatives: "in relation to x" or "depending on x".

Exact(2)

The electrochemical characteristics of thermally prepared oxide films of nominal composition Ir0.3Ti 0.7−x SnxO2 were examined as a function of x by ac impedance measurements.

The electrochemical characteristics of ternary-oxide electrodes with a general formula Ru0.2 Ti0.8—xSnxO2 for chlorine evolution from 1 M NaCl solution were examined as a function of x by CV and ac impedance measurements.

Similar(58)

My surface is given by z as a function of x, y.

Further, the change in bone mass z t, x) as a function of x as well as t about a normalized value of 100 is given by the following equation: The value of 100 is arbitrary.

An ordinary differential equation in which, for example, the function and the independent variable are denoted by y and x is in effect an implicit summary of the essential characteristics of y as a function of x.

An antiderivative of f(x) expressed as a function of x.

The conditional distribution of Y given X = xi is defined by: (compare equation (4)), and the conditional expectation of Y given X = xi is One can regard E Y|X) as a function of X; since X is a random variable, this function of X must itself be a random variable.

So, for example, z, you can think of z as a function of x and y.

But, I will let z vary as a function of x and y.

Differentiate the following equations explicity, finding y as a function of x.

Yoon and colleagues measured the dielectric properties of (Pb1- x Ca x )(Mg0.33Ta0.67 O3 and (Al0.5Ta0.5 1- x (Mg0.33Ta0.67) x O4 as a function of x.

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