Questions tagged [calculus-and-analysis]
Questions related to the calculus and analysis branches of Mathematica, including, but not limited to, limits, derivatives, integrals, series, and residues.
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How to Handle First Variation with Symbolic Computation in Mathematica?
Background
I am currently working on a problem related to surface tension and found a research paper that appears to have the information I need. I am attempting to replicate the calculations in this ...
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Why does Replace function not work the first time I try it?
Please explain why in the following mathematica code, the cos term was not replaced in the first try, but got replaced in the second try?
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How to handle undefined Integral results for excluded conditions in Mathematica
I have a mathematical function where both input parameters x and y are real numbers within the interval [−π,π]:
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- 1,648
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LineIntegrate seemingly does not work
The scalar line integral function seemingly does not work, the both expressions remain unevaluated:
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- 3,630
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How to run Integrate[Sqrt[(x - a)^2 + (y - b)^2 + (z - c)^2], Element[{x, y, z}, Ball[{0, 0, 0}, 1]], Element[{a, b, c}, Ball[{0, 0, 0}, 1]]]
I find that MMA cannot run the integral below
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Allan Variance integral for a first order Markov process
I am using Mathematica to solve this definite integral:
4*(q*T)^2*Integrate[(Sin[Pi*f*t])^4/(Pi*f*t)^2/(1 + (2*Pi*f*T)^2),
{f, 0, Infinity}]
$T$ and $t$ are real ...
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Problem computing a limit
I have the following function in Mathematica:
$\frac{x! \sum _{i=1}^j (-i+j+1) S_{j+1}^{(-i+j+2)} x^{-i+j+1}}{(x-j)! \left((1-x)_j\right){}^2}$
Defined as:
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Troublesome output of summation's derivative
I am trying to compute a derivative of a nested sum, but I can't avoid Mathematica to output Kronecker deltas and unexpected cases on complex numbers.
Consider the following setting:
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Convergence of $\left\{n!\sum_{k=1}^{n!}\frac{1}{k^{\frac{3}{2}}}\right\}$ as $n\to \infty$ using Mathematica or otherwise
Using Mathematica or otherwise, I need to find the convergence or divergence
of$$\lim_{n\to\infty}\left\{n!\sum_{k=1}^{n!}\frac{1}{k^{\frac{3}{2}}}\right\}$$ where $\{x\}$ denotes the fractional part ...
- 155
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NDsolve does not solve equation
I have a question for system of ordinary differential equations, because Mathematica does not give the solution. To be more specific, it does not give any sign that there is some problem. There is the ...
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Integration of Gaussian functions takes ages
I am trying essentially to compute a fourier transform with Integrate.
1]Is integrate faster or slower than FourierTransform?
2]Does anyone know how to efficiently calculate these integrals?
My code ...
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What methods can quickly determine the coefficient of determination of the data?
The given data is:
x = {0.04, 0.06, 0.04, 0.08, 0.08, 0.05, 0.05, 0.07, 0.07, 0.06};
y = {0.25, 0.4, 0.22, 0.54, 0.51, 0.34, 0.36, 0.46, 0.42, 0.4};
Is there a ...
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Trivial Mathematica integral on a cube not computing
I was trying to evaluate some intergal over some cube with variable side length, but for some reason Mathematica spit out the input. The interand was sufficiently nice that I couldn't believe it didn'...
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