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 transform the regions in which a piecewise function are defined?

I have a function f[x,y,z] that has a piecewise definition, i.e., its values depends on the ranges of the arguments. Now suppose I have a coordinate transformation <...
user1620696's user avatar
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Improving the curve of a quadratic spline interpolation

I have these data and I want to make a curve using quadratic spline interpolation. I am successful in computing the equations and plotting the curves. However, I noticed that the peaks of the curves ...
Mule's user avatar
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Piecewise integration doesn't evaluate

I'm trying to integrate the following function: $$q(d, \theta) = q_x(d, \theta) + q_y(d, \theta) - 2q_x(d, \theta) q_y(d, \theta)$$ where $q_x(d, \theta) = \min\left(2 - d\cos\theta, d\cos\theta\right)...
Reality Check's user avatar
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Finding the maximum of a symbolic piecewise function

I have the function: coded as: ...
vivelesmaths's user avatar
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1 answer
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Confusing cases in Piecewise

The following FullSimplify[Integrate[Exp[I ω t] Sin[ω x]/ω, {ω, 0, ∞}, Assumptions -> t > 0 && x > 0]] gives a piecewise output of the form I ...
Adam's user avatar
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Problem with Piecewise function applying to matrix of polynomials

I have a matrix of a polynomial - function f f[t_, i_] := wielomianSpline[t, tx[[i]], wspfi[[i]]]; and I want to evaluate the ...
Magdalena Wilkołazka's user avatar
2 votes
1 answer
99 views

Need an equation for modeling Tytler's Cycle

In all cultures over all time there appears, in different languages for different countries, the maxim "Shirtsleeves to shirtsleeves in three generations." This is a function with three ...
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Issue with piecewise functions and lists of rules

I have a list of data that I am connecting with a simple piecewise function. I then want to evaluate the piecewise function at a different list of points. I can do it the long way, but I am wondering ...
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Solving first-order ODE with piecewise component

I have an ODE I'd like to find an analytical solution to, $$ \frac{dZ}{dt}=-\alpha Z+\frac{\beta X^n}{(1+X^n)(1+Z^n)} $$ where $$ X(t) = \begin{cases} 1 & 1 \leq t \leq 6 \\ ...
Nick's user avatar
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2 answers
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How can I plot this piecewise function? [closed]

How can I plot function $g(x)$ given below: The following attempt I have tried does not work and returns errors: ...
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How is this type of piecewise function represented and calculated? [closed]

How is this type of piecewise function as follows in the picture represented and calculated? Use: ...
csn899's user avatar
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How can I interpolate a piecewise constant function?

Let the given set of points ...
Vangsnes's user avatar
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Put a standalone wall barrier inside a 2D square well potential

Here is the code for the 2D square well potential: v[x_, y_] := Piecewise[{{1, 58 < Abs[x]}, {1, 58 < Abs[y]}}]; Plot3D[v[x, y], {x, -70, 70}, {y, -70, 70}] Is Piecewise the right function to ...
Michael B. Heaney's user avatar
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Using NDSolve on piecewise-defined system of ODEs

I'd like to use NDSolve to solve a system of n coupled 1st-order linear ODEs expressed in matrix-vector form, but which are definied piecewise in n-space (in particular, to represent different linear ...
Cameron Alred's user avatar
2 votes
1 answer
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How to plot this two variables piecewise function?

I was wondering if there is a suitable way to plot the function $$f(x, y) = \begin{cases} x & y < x^3 \\\\ y & y \geq x^3 \end{cases}$$ Maybe with piecewise? But it's a two variables ...
Numb3rs's user avatar
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Issues while using WhenEvent and HeavisideTheta inside NDSolve

What I am doing? Integrating a piece-wise ODE using NDSolve. The piece-wise part is governed by HeavisideTheta. Objective? The goal is to update numerical values when an event is detected. This is ...
Rohit Chawla's user avatar
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Piecewise Boundary Condition for axisymmetric heat equation [duplicate]

I'm trying to solve the 2D axisymmetric heat equation, where only one section of the tube is being heated up. I have written the following code below: ...
Lucas's user avatar
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How can one build this kind of graphics? What kind of plot is it?

i want to know how can i build this kind of plot? its a graphic of Moment -150 to 150(H.m)in fuction of time from 0 to 6 seconds.
prazerex's user avatar
4 votes
1 answer
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RuleDelayed (:>) involving Piecewise leads to Piecewise::pairs warning in ReplaceAll (/.)

When I write a replacement rule like this: Piecewise[{{x^2, x < 0}}] /. Piecewise[a_, b___] :> Piecewise[a, b] It works fine, but I get the unexpected ...
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How to synatx a piecewise where x=0 is undefined?

How to write the synatx for a piecewise where x=0 is undefined in the domain of the function, and according to the below conditions ? y := Piecewise[{{1, 0 < x < Pi}, {-1, -Pi < x < 0}}]
ahmed mokhtar's user avatar
2 votes
2 answers
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Combining two interpolating functions via Piecewise or If is very slow

For a given set of parameters $(i,l,m)$ I have a function which has been evaluated on a grid $x \in (-2,2)$. Since this function is not smooth (only continuous) at the "interface" $x=0$, I ...
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Piecewise Recursive function with 2 arguments

The following code is not working for argument nn>1. Hold statement Hold[0.62+v0[1,0]] come as output for v0[2,0]. ...
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NDSolve not handling discontinuity in initial condition [duplicate]

I am trying to solve a PDE in two variables z and t. This PDE is from "Universality of Capillary Rise" by Zhou and Doi (2020). There is additonally a parameter n that can take positive ...
JamesVR's user avatar
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Define regular function as difference of two piecewise functions

Consider a piecewise smooth function, ...
Patrick.B's user avatar
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Simplifying Piecewise Function Evaluates Irrelevant Cases

Consider the following function: ...
Lauren Pearce's user avatar
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How to fit piecewise functions with unknown domain?

Thank you for your comments, I will discribe the question in more detail. I have a piecewise function as below and I'm looking for the parameters :...
ZZZ's user avatar
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Piecewise function with form determined by current value

I would like to create a piecewise function that determines the dynamics of a variable $x_t$ as follows: Given a starting value $x_0$ and a parameter $\hat{x}$: ...
NC520's user avatar
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2 answers
165 views

Accurate and efficient sampling of interpolated functions

Suppose we are given two interpolated functions ...
Math Gaudium's user avatar
1 vote
1 answer
155 views

Creating FormPage Calculator with a Piecewise Function

I am trying to make a calculator to help my mom calculate late fees in our rental property business. Thus, in this calculator all you're supposed to do is input the date on which the tenant is paying ...
SDH's user avatar
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-1 votes
1 answer
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Finite Jerk Motion Profile

I try to define a function to plot a motion profile with constant jerk. It seems that my function doesn't work. Would you help me to debug my function ? I guess my issue comes from a bad management of ...
Bendesarts's user avatar
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3 votes
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Plot a sequence of functions in one plot

I would like to plot a sequence of functions in one plot. My function is defined piecewise: ...
JJJanezic's user avatar
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Defining Piecewise function using an Interval object

I was trying to define a Piecewise function using a previously defined Interval object (that is the union of several intervals). However, I realised that I wasn't ...
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Derivative of piecewise function returns one more case

I define the following piecewise function: U[c_,n_,g_,p_]:=Piecewise[{{c^(1-g)/(1-g)-n^(1+p)/(1+p),g!=1}, {Log[c]-n^(1+p)/(1+p),g==1}}] When I take the derivative <...
NC520's user avatar
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2 votes
1 answer
126 views

How to plot a function with different conditions (if or which or piecewise)

The given function is This function is plotted to be ...
user84456's user avatar
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7 votes
2 answers
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How to remove branches in Piecewise with measure 0

I am doing Convolve over UnitTriangle in 2 dimensions and the resulting piecewise function has conditions with measure zero (...
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I can't plot a certain solution

DSolve[{x''[ u] == -(1/ 2)*(2*1*(\[CapitalTheta] (u + a) - \[CapitalTheta] (u - a)))*x[u]}, {x[u]}, {u}]; x[u] /. {{x[u] -> C[1] Cos[Sqrt[2] Sqrt[a] u Sqrt[[...
Deeshani Mitra's user avatar
1 vote
2 answers
134 views

NDSolve with piece-wise function and BVP

How to numerically solve a system of differential equation with boundary conditions and piece wise affine functions ? Consider the following system of differential equations from some optimal control ...
Kredan's user avatar
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1 answer
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How to plot the derivative of a piecewise discontinuous function (by excluding discontinuity points)?

With the following code I am trying to get a plot for the derivative of the ftot1 function, which is a piecewise discontinuous function defined as the sum of other two piecewise discontinuous ...
Alex's user avatar
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Using DSolve, For A System With A Piecewise Function, And For Given Boundary & Continuity Conditions

I'm trying to solve a system of ODE's, analytically, to find the integration constants. The system is the following (with zUpper=125 000 and zLower= 200 000). For 0 <= z <= zUpper: 3 T''[z] == 0....
Canada709's user avatar
1 vote
1 answer
107 views

Derivative of long expression renders Piecewise[…<<…>>…] in Jupyter notebook

My mathematical problem is to solve the optimization problem: $$ Max_{u} \quad \mathbb{E}[\gamma S-S^2]$$ where $$S= A_0 u X+a-\max(\alpha u X+b,0)$$ with $\gamma,A_0,a,\alpha,b$ some constants and $X\...
Wiles01's user avatar
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1 vote
1 answer
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Vectorplot shows empty result

I've tried to draw a vector plot with piecewise functions, but it shows empty result. When I don't use piecewise functions, Vectorplot works well.. I can't figure out what the problem is. I would ...
Son's user avatar
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0 votes
0 answers
61 views

Numerical integration of iterated integral with piecewise integrand

I need to plot the following integral: $$ \Omega(t)=\int^{x_1(t)}_0 {4\pi x_i^2\rho(x_i,t=t_s)\int^\infty_04\pi x^2\rho_{reg}(x_i,x,t)dx}dx_i $$ where $$ \rho(x_i,t)= \left\{ \begin{...
Artem Toropin's user avatar
1 vote
0 answers
50 views

A piecewise inequality not simplified to True [closed]

In = Simplify[-a + Piecewise[{{-b, t > c}}] < 0, {a > 0, b > 0, c > 0}] Out = Piecewise[{{-b, t > c}}] < a Why the result is not evaluated to ...
scriptfoo's user avatar
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3 votes
2 answers
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How do I integrate this piecewise function with Mathematica?

I came across the question of what percent of numbers from 0 to 1 have a logerithm whose floor is even. What I did was I made a piecewise function: ...
Brandon Nadel's user avatar
3 votes
2 answers
186 views

FunctionPeriod for functions defined in a Piecewise manner

To create a minimal example, consider a piecewise function: ...
Syed's user avatar
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7 votes
1 answer
167 views

Plot discontinuities use Piecewise

how can I get a plot like this? I tried with in Mathematica 13.0: ...
Clash Secondo's user avatar
3 votes
1 answer
68 views

Piecewise Functions from List of Functions

I have multiple functions from two different NDSolves that I would piece together. Here is a working minimal example: ...
celestialmelody's user avatar
2 votes
1 answer
97 views

How to define function which changes at certain condition

...
U.Grammy's user avatar
5 votes
1 answer
178 views

How can I remove the outermost pair of brackets enclosing a Piecewise function when it occurs in an equation?

Recently I have been annoyed by an automatic formatting in MMA, that is when a Piecewise function occurs in an equation, it will be enclosed by a pair of brackets automatically by MMA, although when ...
AlbertLew's user avatar
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2 votes
2 answers
78 views

Piecewise based on the length of the list

I want to create a piecewise function that depends on the length of the list. Let's say I have a list, and a corresponding piecewise function: ...
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