Questions tagged [symbolic]

For questions about symbolic computation, as opposed to numerical computations.

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95 views

Problem with Analytical Integration with Constant

Could you help me out on how to integrate this long equation with constant as it is indefinite integral so I assumed I could not use numerical integration (eg: Simpsons's 3/8 Rule or Trapezoidal Rule) ...
64 views

GeneratedParameters in Integrate

I defined a function of two variables, let's say u[x_, y_] := 4 x^4 + 6 x y - 24 x^2 y^2 + 4 y^4 I want to partial integrate (with respect to y) the partial derivative of u with respect to x obtaining ...
84 views

Pattern matching problems involving FullForm and Plus and Times

I am trying to match an expression that will be a sum of more than one terms, with the last one being a product. For example, the objecta+b+x*y. I am using the ...
44 views

Type formation rules for 1-position expressions

I made a summary of the rules for formation of types for simple 1-position expressions, as I understand them. Here it is in textual form: A symbol, say, α, is a discrete entity, represented by a ...
25 views

Why does explicit Dirichlet Transform of Liouville Lambda not evaluate?

I have four expressions for the Dirichlet Transform of the Liouville-Lambda function, but one form does not evaluate, any ideas why and what could be done?
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How to symbolically evaluate expression within If[]?

I have a function, say f, that needs to take one of two symbolic forms depending on the value of its inputs. This function is part of a very large expression, and I'...
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Mathematica's evaluation of nested summations

As suggested there, here is a copy of the question I've posted on Math.Stackexchange. Suppose we want to count the number of instructions executed by the following Python code: ...
465 views

Useless result of Integrate

Considering a Fourier sine series, I calculate int = Integrate[Log[1 + Sin[x]]*Sin[i*x], {x, 0, Pi}, Assumptions -> i ∈ PositiveIntegers] ...
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Identity operator of unspecified dimensions

I would like to create a function which can can take a symbolic square matrix $m$ and returns $m \otimes I$. Where $I$ is the idenity operator of same dimensions as $m$. The actual function I am ...
114 views

Simplification with User defined rules and assumptions

The results of DSolve are usually expressions that can be further simplified. For instance, consider the following expression for a co-ordinate of a particle in ...
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Help with an integral

I want to know if the following integral can be evaluated in Mathematica: $$g(t)= c\int_{0}^{1-t} t^{m-1}\left[(u+t)^{m}-u^{m}\right]^{n-2}(u+t)^{m-1} d u$$ where $$c= m^2n(n-1)$$ ...
27 views

How do I get actual solutions from MaxValue?

Say I want to calculate the maximum value of a simple function of two variables: f[r_, t_]:= r Cos[t]^3 (1 + r Sin[t]) with respect to the variable ...
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WolframAlpha gives small imaginary part for real integral $\int_0^\infty \log(1 - 2xe^{-x} - e^{-2x})\,dx$

Putting the integral $$\int_0^\infty \log(1 - 2xe^{-x} - e^{-2x})\,dx$$ into Wolfram|Alpha gives ...
58 views

Help with the evaluation of an integral in Mathematica

I have the following (m and n are integers) $$f[t] =\frac{ m^2n(n-1)}{2}t^2 \left(1 - (1 - t)^m \right)^{(n - 2)} (1 - t)^{(m - 1)}$$ $$\text{Integrate}[f[t], {t, 0, 1}]$$ I also need the aymptotic ...
94 views

Why can't Mathematica integrate my function?

I am very new to Mathematica and have been trying to integrate a function p[f] that is expressed as follows ...
50 views

How to declare a list of symbols as Real numbers?

I have a list of symbols : gammaVecs =Table[Symbol[StringJoin["gamma", ToString@j, ToString@i]], {j,7}, {i, 40)}]; Which I want to use later in ...
54 views

Strange behavior of FindInstance

I try to solve a problem from Kazakhstan math school competition (see it here in Russian) by ...