Questions tagged [functions]
Questions about the use of built-in Mathematica functions, including pure functions.
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How to optimize performance with DeleteDuplicates?
Does anyone know how to improve this for speed performance? The code works fine, but DeleteDuplicates makes it really slow for large lists.
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How can I change design a function $Modu$ such that $Modu[2k,2]$ to be zero?
I am dealing with some calculations of integer variables, so I want to define a function $Modu[x]= x \; mod \; 2$ such that $Modu[2x]=0$.
If I directly use $Mod[2k,2]$, the output should still be $Mod[...
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How to exclude singularities for `NMinimize`
I have an messy expression and want to apply NMinimize to it, have no idea how to force NMinimize to ignore the singularities it ...
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How to find the precise and correct range of a specific angle in a triangle given certain conditions?
In $\triangle$ABC, let angles A, B, and C be the three interior angles of the triangle, and given that $\frac{\sin B}{\sin A} = 2\sqrt{3} \sin C$, then the range of values for $B + \frac{\pi}{6}$ is _ ...
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Find a parameter to return minimum of the function of several variables
I have two functions $f_1(n,x)$ and $f_2(n,x)$, and I want them to look similar on the given range $n\in[1,20]$. I can only vary the parameter $x$.
In other words I have a function $F(n,x)=f_1(n,x)-...
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Construct plot of $exp(1/z)$
I want to plot the function $f(z) = e^\frac{1}{z}$ in 3 forms:
First to be a plot like [this][1]. But I want to show legend of both magnitude and imaginary part scales.
Second to be a plot only with $\...
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Odd results from DSolve
When I try this DSolve command
DSolve[{x'[t] == y[t] + 2 E^t, y'[t] == x[t] - 2 E^t}, {x, y}, t]
I get this as the return
I tried this on two different ...
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Defining Objects using a Table or Loop
Suppose I want to define weight[] on a list. For instance I want weight[a]:=3, weight[b]:=5, etc. I tried to do this using the ...
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What algorithm does Mathematica's `FindSequenceFunction` use, and can it be replicated in Python?
I am curious about the algorithm used by Mathematica's FindSequenceFunction to identify patterns in sequences. This function is powerful in finding closed-form ...
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Composition of vectorvalued functions
Suppose I have two functions $f,g:\mathbb{R}^2 \to \mathbb{R}^2$ and that I want to compute $g(f(x,y))$. As an example, let's take $f(x,y)=(x+y, x-y)$ and $g(x,y)=(y^2,x^2)$. Then, $g(f(1,2))=(1,9)$.
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Function returning error every other run
Disclaimer: I am new to Mathematica but have some experience with other programming languages.
I have defined the following function (simplified version):
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Blurry shadows of 3D plots and objects
I am using a shadow function, planarShadow, as shared by Prof. Jens Nöckel on Shadows of 3D plots and objects
This function works perfectly while making sharp ...
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Does Mathematica have a function which yields the degree of a polynomial with respect to one variable? [closed]
Since Mathematica seems not to have a function yielding the degree of a polynomial with respect to one variable, I wrote one:
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Pattern matching for a repeated pattern (but different matching elements)
Is there a nice syntax for a pattern that is repeated (but it should match when the matching elements are different).
I mean something like
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Why does the gather not seem to work?
Why isn't {4, 6} include in the first group?
I expected the result would be {{{1, 9}, {2, 3}, {4, 6},{5, 10}}, {{11, 15}}} ...