# Questions tagged [function-construction]

For questions on writing functions (pure or using Set/SetDelayed) for any purpose, including the features that may be incorporated in those functions, such as options, patterns and conditions.

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### How to specify specific (custom) function arguments

Suppose that I want to have a function that is evaluated only when a user-specific, predefined flag is given out of a list of possible flags. For example ...
148 views

### How to find the function range of this?

How can I function range of the function x/(-1 + 2 x) over the domain (0 <= x<= 1)? I tried this but ...
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### How to create nice looking circuit from its connection information?

I'm trying to write code to create a circuit from its connection information. For example, in the image below you see an incompleted circuit with two batteries, one resistor and one capacitor. The ...
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### How to define specify parameter functions of a Sturm-Liouville operator & plot its effect on specific functions?

I have a Sturm-Liouville operator: $$\mathcal{Ly(x)}=-\frac{\mathrm{d}}{\mathrm{d}x}\left(p(x)\frac{\mathrm{d}}{\mathrm{d}x}y(x)\right)-q(x)y(x)$$ but I do not yet know the parameter functions $p(x)$ ...
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### Suppressing tensor indices and function labels of a function

I am trying to do some GR calculations, and want to write a code which shows the expressions symbolically using compact indices, rather than write all the quantities in detail. More precisely, ...
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### Why is Style ignored in my custom Echo error function?

To highlight the type of error that occurred the function echoError (via err) should display type of error in color: ...
223 views

### Using Mathematica to derive analytic form of single variable function

I am interested in finding an analytical form of the following function $f(n)$ defined as: $$f(n):=\sum_{\{\bar{K}\}}\prod_{l<j}^{n}e^{ik_lk_j},$$ where $\{\bar{K}\}$ is the full set of binary ...
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### Defining function with arguments in a specific pattern similar to Graphics[]

I'm trying to define a function that is of this form: ...
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### How to set deeper patterns in arguments within function definitions. For example if an argument must be a list of 1 or more strings

Suppose I want to define a function whose argument must be a List of only Strings and List must have at least one member. I know how to require that the Head must be a List but how does one qualify ...
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### Integrate of simple equation but is not solving!

I have this simple integral but I don't know why Mathematica can't solve it?! FullSimplify[Integrate[x/(-x^2 + a x + b)^(1/2), {x, Sqrt[b], Sqrt[R^2 + b]},Assumptions -> {a > 0, b > 0}]]