# Questions tagged [piecewise]

Questions about the Piecewise function, which is represented by different expressions for different ranges of values of its independent variable.

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### How to plot HeavisideTheta with y=0.5 at x=0, and similar piecewise functions

How does one plot piecewise functions, with the ability to plot individual points along with open points to clearly show how values are defined at discontinuities? Example: Image Credit with the ...
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### How to get Integrate to determine units

In a similar fashion to the question asked here, I am having trouble trying to get Integrate to correctly determine the units of the integrand: Here I have plugged in specific values into the general ...
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### Piecewise function inside ProbabilityDistribution causing errors

I'm using a complicated Piecewise function to create a probability distribution and draw random points from it. ...
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### How to take limits in Fourier series?

I have a Fourier series which produces an impulse train of period j+1. In principle, it is given by ...
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### Continuity and derivability of a multivariable function at a specific point

I have this function: f = Sqrt(Abs(x^2 - x*y)) So, how can I prove that it is derivable and/or continue in a point, like (0,0)?
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### PiecewiseExpand doesn't work as expected with a recursive function

In an effort to examine this question on Math.SE, I defined the following functions ...
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### Find and indicate the minimum of a piecewise function in the Plot3D diagram

I'm trying to indicate in my Plot3D diagram the minimum level of the dependent variable and the corresponding levels of two independent variables. More specifically,...
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### Using subscripted symbol affects integration — why?

Below is a sample program that shows that Integrate is giving different results depending on whether I name the variable duration1 or ...
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### Why do Integrate and DSolve/DSolveValue yield such complex expressions for Piecewise functions?

This code uses two different methods for integrating a very simple piecewise function but yields surprisingly complicated integrals: ...
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### Piecewise integration not giving continuous result

I'm trying to integrate a piecewise function symbolically and I'm ending up with discontinuities which is surprising since the help mentions that constants are determined to ensure continuity. If I ...
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### Graphing a Fourier Series

First off, I have created the following Fourier series for the below equation/condition: $$f(t) = \begin{cases} 0, & 0<t<1 \\ 1, & 1<t<2 \end{cases}$$ My Fourier Equation for ...
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### Limiting the Domain of a Function

Currently, I am trying to plot (using Mathematica) the following function: $$f(t) = \begin{cases} 0, & 0<t<1 \\ 1, & 1<t<2 \end{cases}$$ And, to try to plot this, I did some ...
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### Bad Integral evaluation for Piecewise function

I have been trying to evaluate this symbolic function: f[ρ_, R_, α_, yp0_, yp_] := R*((ρ - R*Cos[α])^2 + (R*Sin[α])^2 + (yp-yp0)^2)^(-(1/2)); Mathematica can ...
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### Plot of Piecewise function is slow

While working on answer for question (here) I found out that the Plot is incredible slow for Piecewise function: Some preparations: ...
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### Plotting Piecewise function?

I am facing a problem in plotting the Piecewise function. I simplified my problem to take the following form: where \[Sigma][i] are Pauli matrices. My code is: <...
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### How do I combine a piecewise function within a parametric plot?

I'm trying to combine two functions together piecewise style, but nest that within a ParametricPlot function. Here's my code right now: ...
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### count conditional items in list

I have a list of the form: {1,1, (1 if x>y, -1 if y>=x), -1} I want to count the number of 1's in the list. The output I'm looking for is something of the ...
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### Forcing the fit of a nonlinear piecewise function to be continuous

I am trying to fit some data ...
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### IVP Piecewise ODE: Changing the Domain outside region of interest changes result dramatically

Good afternoon, I am attempting to solve the following ODE: ...
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### find intersections of 2 Piecewise Functions in ImplicitRegion

How do I combine this two parts of a Piecewise functions? I have trouble join this with || ...
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### Can someone tell me what is wrong with my code? [closed]

The code I am using to make my plot is: DiscretePlot[ Piecewise[{{1/((-2)^{x + 1}), x <= 3}, {1/32, x >= 4}}], {x, 0, 10}] Also, how do I change to color ...
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### Need help plotting on Mathematica simple piecewise wave function from quantum physics (Quantum Physics, Griffiths, 2.7) [closed]

On Mathematica need to plot an initial wave function defined as... Psi(x,0) = Ax when 0 <= x <= a/2 Psi(x,0) = A(a - x) when a/2 <= x <= a Here is my attempted code... ...
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### How to Refine HeavisideTheta or UnitStep?

Look at the following chunk of code: Assuming[x > 0, Refine@HeavisideTheta[x]] It yields 1. However the same method does ...
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### Speed up Integrate around Max/Min or Piecewise

Integrate around a convex combination of two functions containing Min or Max or ...
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### how to rewrite conditions as conditions&& True

I have a result comes from Reduce a <= -2 || (1 < a < 2 && (x >= 1/3 (4 + 4 a))) || a >= 2 it has a ...