All Questions
Tagged with calculus-and-analysis piecewise
12
questions with no upvoted or accepted answers
2
votes
0
answers
64
views
Make Mathematica evaluate an integral symbolically
The following integral has a symbolic solution, which MMA does not return.
$\kappa(x) \begin{cases}
\text{mod}(x,1)\le0.5: & 1\\
\text{mod}(x,1)>0.5: & 0
\end{cases}$
$f(z)=\int_0^1 \...
- 856
2
votes
0
answers
540
views
Piecewise functions Integration with symbol
I want to integrate one piecewise functions as following,
...
- 21
2
votes
0
answers
545
views
Integration of UnitStep or HeavisideTheta
I am using Mathematica 9.
If I evaluate
Integrate[Piecewise[{{1 - r, r > 0 && r < R}}, 0], r]
then I get
...
- 121
1
vote
2
answers
55
views
Strange behavior when integrating vector valued piecewise function
The following straightforward integral should clearly equal $\{0,0\}$ for any $R\in\mathbb R$:
...
- 156
1
vote
0
answers
81
views
Speed up Integrate around Max/Min or Piecewise
Integrate around a convex combination of two functions containing Min or Max or ...
- 447
1
vote
0
answers
64
views
Piecewise function inside Integrate - Wrong result
I tried to evaluate the following integral:
...
- 959
0
votes
0
answers
44
views
Problem Derivative (D) of function defined with Piecewise or UnitStep functions - SIMPLE BEAM PROBLEM, 3 SUPPORTS
I am solving a simple structural beam problem using slope-deflection approach - 3 support A(left- fixed), B(middle- pin), C(right - pin). Beam AB - uniform load, Beam BC - concentrated load in ...
- 63
0
votes
1
answer
354
views
How to obtain the convolution of these functions?
I am starting to use Mathematica. I wanted to compute
$$\nabla F*\phi(x),\;x\in\mathbb{R^2}$$
where $F(x)=\ln\|x\|$ and $\phi(x)=\chi_{B(0,2)}(x)$.
I am a new user of this software, so I don't know ...
- 101
0
votes
0
answers
46
views
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 ...
0
votes
0
answers
458
views
Integral of a step function ,
I am trying to integrate a step function given in a book, but it doesn't work.
...
- 123
0
votes
0
answers
242
views
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:
...
- 393
0
votes
0
answers
201
views
Minimize integral with piecewise functions
I am not an experienced user of Mathematica.
I would like to find parameters $d1,d2,d3,e1,e2,e3$ which minimize such an integral (given $c11,c12,c13,c21,c22,c23,c31,c32,c33$):
$\int_{0}^{1}\int_{0}^{...
- 101