# Questions tagged [functions]

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

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### How to get a function from a numerical integration?

I wold like to know how to get a function from a numerical integration. Here is an example: h[y_?NumericQ] := NIntegrate[y*Sin[Sin[x]], {x, 1, 2}] h Then my ...
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### Problem with makeOperator which yields Polynomials of an operator

Hi Is it possible to improve the macro provided by Jens Polynomial expansion of operator ...
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### How to turn an algorithm into a function

I have written a script to help me find the several local minima of a dataset. It takes two arguments: the dataset list and an x-coordinate value that tells the script from where to start looking for ...
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### Automating a large operation by making a function

I would like to automate the following operation. To be transparent I shall put my code into separate chunks and explain the process. Suppose I have the following: ...
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### How to define a function in an implicit form

Know the 2-variables function $F(x,y)$. How can I define the function $x\to f(x)$ s.t. $F(x,f(x))=0$?
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### Function works outside For loop but not inside, and loop fails spectacularly

I'm building two lists, each to carry a different representation of the same set of objects. One list, list2, is constructed first; then the second list, ...
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### How to list all the possible functions of given structure?

I can run this command : Tuples[{ Tuples[{x, y, z}, 2], {a, b, c}}] to list all combinations that looks like: ...
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### Function iteration

I wrote a function in Mathematica that applies certain construction steps on the "incidence matrix" of a graph in order to obtain a new graph with certain properties. These construction steps can be ...
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### Obtaining the equation type of an interpolated function

I used InterpolatingFunction on a set of points. How can I know the type of that equation ? (polynomial, sinusoidal, logarithmic,etc...). I am looking for a general case answer. Here is an example ...
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### Problems with creating a matrix with functions

I have a function which gives me all the coordinates of a certain bloc in a lattice (with the help of another function for rows and columns): ...
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### Error while defining custom matrix function

I'm trying to define a custom matrix Ry with a parameter x, in Mathematica. ...
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### How to graph a text as a function of some arbitrary parameters?

I'm trying to graph a text in a couple of plots I have. I want to be able to edit the text depending on the values I choose (rho0, zp, zm, temp, ion, and perm) and show them at some point in my plot (...
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### How to solve “Coordinate should be a triple of numbers”?

Something seems different with duplicated question "How to solve this error? “should be a triple of numbers or a Scaled form.” ", MMA tips may tell that Abs do not ...
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### How to find a domain at which a function is non-zero

Consider some function f[x,y]. Is there any way to find a domain at which it is non-zero? Namely, I would like to compute the integral ...
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### Defining a function through an ODE containing unspecified operators

I want to do some algebra using a function only defined through a DE containing unspecified operators. The DE is $$\partial_zu(z) = \left[\hat{D}+\hat{N}(z,u)\right] u(z).$$ Here $u$ lives in ...
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### How to exclude some methods?

Can I exclude one or several methods from methods tried by a function? When we use some 'algorithm-intensive' function, we can often specify whether we want to proceed according to the chosen method ...
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### Acquire a single-variable function by slicing a 3d graph along a given line

Consider my Calculus 2 math problem: Given a function f[x,y]=x^2-3xy and two vectors a = {1,2} and b = {1,1}. Spanning a linear ...
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### To assign an array to a function

// Pre-defined parameter kS = 2*(\[Pi]*NefS)/LambdaSS; Here, NefS is a function of LambdaSS. The matrix m (i,j) defined corresponding value of NefS (jth ...
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### How attribute a restrition for a variable inside a function

I have a function like this way: f[x_] := x + 2; In:= f[b + 2] Out= 4 + b How to impose a condition that the variable ...
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### Imposing conditions on argument for a function definition

Suppose that I wish to use "Piecewise" to merge two different interpolating functions (obtained via a NDSolve of some ODE), defined over negative and positive arguments respectively, like: ...
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### How to copy a function/list/array without reference

I have code that runs in a loop to generate a function that has values assigned every multiple of a user-supplied step size. I want to copy the final function "value-wise" to a different function so ...
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### Defining a derivative as a function does not work

I have a fairly complicated function VIcase1L[b_,\[Epsilon]_, d_] := ....... All I wanted to to was to derive it this function with respect to b and define it. ...
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### Minimum of explicit functions in vector form

For fun, related to this question about minimizing implicit functions, how can I find the minimum of an explicit one expressed as a vector? For instance, an ellipse: ...
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### Function that once called “erase” every other definition of my notebook

I encounter a really weird effect in Mathematica and I don't know what the wrong thing is nor how to correct it. I work with vectors of four components and I have a minimal set of definitions that I ...
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### Find the maximum of a function involved with Floor function

My function is $$f(H,p) = \left\lfloor \dfrac{\lfloor H/p\rfloor + 3 - \sqrt{(\lfloor H/p\rfloor + 1)^2 - 4H}}{2} \right\rfloor$$ The constraints are $H \geq p(4p-1)$, $p$ is prime although ...
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### Create a color function from dynamic panel

I would like to generate a color function from the dynamic panel code and use it as I want...instead of using Copy to Clip Board and then past in myTM.... Any idea ?...
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### DSolve inverse function

I trying to solve a differential equation DSolve[{D[r[a], a] == 3 r[a]/a (w - (g *(1 + w)*(1 + r[a]))/(1 + g*r[a])),r == r0}, r, a] But the solution is a ...
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### Constructing a user function with an integral

Maybe this is a basic task to perform but I haven't found any literature. I am performing a convolution of two functions: ...
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### How to find ranges of values where specific conditions are true?

I'm trying to get Mathematica to solve a particular inequality in terms of the variables (and constants) of interest to find where the inequality holds as true. Specifically, I have three functions of ...
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### How to accelerate NDSolve for PDE with user defined functions?

I would like to solve the following 2D+1 PDE \$\partial_t \mathcal{P}(t,\theta,\omega)=-\partial_{\theta}( \omega\mathcal{P})+\partial_{\omega}\left[(\tau_i n\cos(n\theta)-\tau_m(\theta))\mathcal{P}\...
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### Editing the function argument

I'd like to construct a function, that changes its own input. The code ...
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### How to change the formulae of FeatureExtraction?

I have a feature extraction function fe, which gives me n/0.816497 as the output of fe[{1}]:- ...
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### Functions definitions with variable arguments

How do you define a variable amount of functions with a variable amount of arguments? I don't get the reference at all : ...
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### Is there a way to Connect a function ''normally'' through its Pole?

Basicaly I have this function: ...