Qfyilyi

I am attempting to create a user interface to allow for exploring the connections between each of the variables used by a large set of equations. While examining any particular variable, I display a list of variables titled "Determinants", which contains those variables that affect the examined variable when they are changed. I am struggling to find an appropriate, preferably single-word name for the other list of variables that I'm displaying, which contains those variables that will be affected when the examined variable is changed.

For example, if y = x + z, then I'm referring to x and z as determinants of y. But what word describes y in relation to x or z?

Using 'determinant' in a math context will be very misleading because it has a primary technical meaning, especially when discussing systems of equations. If it weren't for the math context, 'determinant' would be the right word

The first likely idea, 'indeterminant', turns out not to be the opposite (or really counterpart) of 'determinant'. 'Indeterminant' means unknown, not determined, and this could actually be applied to your 'determinant' values (since even though you set them, they are initially unknown).

Instead of calling your variable items 'determinants', you should call them the traditional mathematical term of

independent variables

and then the counterpart is the straghtforward

dependent variable.

Other terms, also from math, are 'function value', 'output', or 'response variable'.

I'm pretty sure "determinant" isn't the word you want. The word has a specific meaning in math totally unrelated to what you seem to be doing. I understand why you want to use it, because the values of x and z determine the value of y.

You know what else determines the value of y? Let's just say we look at what you have as a math function, you give two values and the function spits out another value. The function is (x + z). x and z are the "arguments" or "inputs" to the function, and y can be called the "value" or the "output" of the function.
Function (Wikipedia)

When talking about computer programming functions different terms may be used. y may be called the "result" or "return value".

Some possibilities that I've thought of so far are contingents and dependents, but I don't think either word makes it immediately obvious what the list represents.

Variables which affect other variables are called arguments of the affected variables, and variables which are affected by other variables are called functions of those other variables, so in your example y=x+z, x and z are each arguments of y, and y is a function of x and z.

You should avoid using 'determinant' because (in linear algebra) that word refers to a certain value that is meaningful only if the coefficients of the equations form a square matrix.