All Questions
Tagged with calculus-and-analysis piecewise
69
questions
1
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192
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Integrating piecewise function in two variables
I want to find (and plot) the integral of a 'smooth' version of the Möbius function MoebiusMu[x]:
...
- 2,335
1
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1
answer
142
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Strange behaviour in derivative of Floor function
The function Floor[x] is piecewise constant, hence its derivatives should be piecewise zero.
This is far from true in Mathematica
In[497]:= $Version
Out[497]= "10.1.0 for Microsoft Windows (64-...
- 13.1k
1
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2
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260
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Problem with the integration of this piecewise function
I encounter a problem when I try to integrate the piecewise function defined in the following code:
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- 35
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1
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1k
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Finding the tangent to a piecewise function
I'm new to Mathematica and I am trying to calculate the expression of the tangent to the curve
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0
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0
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458
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Integral of a step function ,
I am trying to integrate a step function given in a book, but it doesn't work.
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0
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242
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Implicit function: derivative of piecewise function that has a FindRoot in one of the pieces
I have a piecewise function that has as one piece the result of a numerical approximation, like in the example below:
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- 393
1
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2
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796
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4
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1
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117
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Simplify integral with piecewise expression
How can I simplify this integral?
Integrate[Piecewise[{{c[x], 0 <= x <= 1/2}, {0, True}}], {x, 0, 1}]
I think it should be the same as
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- 650
2
votes
1
answer
603
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Force derivative of piecewise function at boundary points to be one-sided derivative
I've defined a smooth step function given as
f[x_] = Piecewise[{
{y0, x<x0-dx/2},
{y0+1/2(y1-y0)(1-Cos[Pi*x/dx]), x<x0+dx/2},
{y0, True}
}];
...
- 43
6
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3
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Integrating a piecewise function with symbolic pieces
Suppose I want to compute the antiderivative of this simple function:
$$f(t)=\begin{cases}
1 & \text{if $0\le t\le t_1$,} \\
-1 & \text{if $t_1\le t\le t_2$}, \\
0 & \text{otherwise,}
\end{...
user484
1
vote
1
answer
143
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Cross-sections of a revolutionplot3D of a piece-wise function
I trying to get multiple cross-sections of a revolution plot I made from a piece-wise function.
The end goal would be to calculate integrals underneath those cross-sections.
my code looks like this:
<...
- 157
4
votes
3
answers
1k
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Most efficient way to integrate a linear piecewise function
I am having a lot of trouble integrating a simple function. Here's the context: I generate data from two distributions, and I want to calculate the overlap coefficient of representing those datasets ...
- 967
1
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2
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112
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Piecewise integration fail or something else?
I have a not-so-complicated piecewise cubic function, shown below as the yellow curve on the right. It's derivative is on the left; the blue lines are references. Please see the code below where I ...
1
vote
1
answer
732
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Variable Increments in a Table
I am working on a problem involving the piecewise function:
$$x^2 \quad \mbox{if } \quad x < 2$$
$$(x-3)/(\sqrt{x-2}-1) \quad \mbox{if } \quad x \geq 2$$
I am supposed to find ...
- 11
1
vote
1
answer
213
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Interpretation of HeavisideTheta Integration Output
I need to integrate integrals of the type
Integrate[Boole[2 k*q >= Absolute[p^2 - k^2 - q^2]], q]
where $q$, $k$, and $p$ go from $0$ to $1$.
To learn to ...
- 149