# Questions tagged [functions]

Questions about the use of built-in Mathematica functions, including pure functions.

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### What to input for Nested ANOVA on Mathematica (SS-Subgroup B)

Does anyone know how to run a nested ANOVA on Mathematica, given a dataset? For example: PCB Level 1, Sample 1: {1,2,3}; PCB Level 1, Sample 2: {4,3,2}; PCB Level 2, Sample 1: {1,5,7}; and PCB Level 2,...
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### How to find the operand of a sinusoid?

For a function $\sin[2x]$, the operand is $2x$. If we want know the value of the operand by hand, the function is simply $\arcsin(\sin[2x])=2x$. How to do this with Mathematica? Here's what I tried: ...
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### Use Alphabet[] as a variable in a function

I'm trying to figure out if I can use the letters contained in Alphabet[] as variables for a function. As a simplified example, I'd like to do something like: ...
147 views

### Trying to understand Electromagnetism using mathematica

I was wondering if there was a possible way to animate electric and magnetic field lines using Mathematica? I'm currently doing a physics major and taking an upper level electromagnetism course. I'm ...
128 views

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### error for NMinimize with Parameters in the form f[a_]:=NMinimize

I'm trying to write a function of a variable as the argument of a minimization where that variable comes to play. Here is the code : ...
30 views

### Creating a special product function

I am having trouble working with lists inside functions with Mathematica. Basically, I have a list of numbers and a special way to multiply them. I want to have a function that is able to create a ...
63 views

### Define Function explicitely with List as argument [duplicate]

Background There are multiple ways to define Functions. I would assume all methods are equivalent, and allow for the same options. However, I fail to find the ...
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### Order of evaluation of variable

I'd like to control the order of evaluation in a multi-variable function. Example: Suppose I have the function: B[x_, y_] := x + y/x; If I try to evaluate ...
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### Get R^2 value between interpolating functions and a list of points

I am looking to compare the degree of accuracy of a theoretical model by comparing my theoretical curve to my experimental data points. My theoretical curve is an interpolating function generated ...
43 views

### Use a list with single number for the second input of Table

As you see both inputs below give the same results. Is there any reason to use List instead of just 3 in the first case? <...
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### When do functions apply on lists and when they do not

I have read in my lecture notes on Mathematica that functions (in the general sense) can be applied to lists of data and that they can return new lists with data. I have tried this and I have got ...
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### NonlinearModelFit won't fit to gaussian data

The form I'm using should be correct because when I input my initial guesses it plots a shape similar to my data. When I use NonlinearModelFit, the fit is not correct at all and is almost flat, then ...
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### Derivative of function with large number of arguments

I have a function which depends on more than 30 parameters and I want to symbolically compute the derivatives with respect to the individual parameters. From the documentation of the ...
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### I've been try to plot this function but it's not work. It's in the body [closed]

Plot[z^7 - 5*z^4 + 3*z^2 + 6*z - 4, {z, -2 - 2*I, 2 + 2*I}]