# Questions tagged [symbolic]

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

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158 views

### Why such a big difference between results of Integrate and NIntegrate?

Studying an interesting article of Daniel Lichtblau, I consider a variation of an example from it, calculating an improper integral ...
32 views

### Fast fourier coefficients for a long sum

I have a very long expression involving a sum of exponentials, say: Sum[(RandomReal[] + RandomReal[] a) Exp[2 I ii x Pi], {ii, -10, 10}] I want the fastest way to ...
27 views

### Standard way to define a linear operator?

Say I want to define some simple linear operator. I can do this by f[c_?NumericQ x_] := c f[x] f[x_ + y_] := f[x] + f[y] Or let's define a bi-linear operator ...
27 views

### Simplifying cross product expressions II

This is related to Simplifying cross product expressions Consider the following: ...
25 views

### exclude terms from expansion

Suppose I define F1[R + a] = F1[R] + a D[F1[R],R] F2[R + 2 a] = F2[R] + 2 a D[F2[R],R] and I want to expand the square of their sum keeping only first order terms ...
90 views

### Simplifying cross product expressions

Suppose I want to calculate: Cross[A1 + B1, A2 - B2] + Cross[A1 - B1, A2 + B2] which is equal to 2 A1xA2 - 2 B1xB2 Using ...
48 views

### Surd factors do not auto cancel each other out

Simplify[Sqrt[Pr] - (Sqrt[Pr/Ra])*Sqrt[Ra]] The above command should give me 0 as the simplified outcome, but it keeps ...
41 views

### How to find eigenvalues of 8x8 matrix?

I am new to Mathematica, and was trying to find the eigenvalues of an 8x8 matrix using Mathematica. I have fairly simplifies the matrix A into a mathematical expression and I know the final ...
47 views

### How to define distributivity of CenterDot on bras and kets

I am working on a code for a coupled quantum harmonic oscillator and found myself in a hiccup when trying to evaluate the inner product of linear combinations of bras and kets. I have initially ...
23 views

### Replacement of functions bound by sums and integrals in NCAlgebra

I want to use the NCAlgebra package to do some simplification on non commutative expressions involving integrals. For example, one such expression would be $$I=\left(\int f(x)g(x) dx\right) * h$$ ...
77 views

### How to get True for X^2>= 0? [closed]

How to get true when introducing the expression $x^2 \geq 0$ in mathematica ? how do I specify that x is real ? GreaterEqual[x^2, 0, Element[x, Reals]]
92 views

### Does a positive real solution exist to this problem?

I wrote the following code for getting the solution. I am not sure if the code I wrote is correct. The problem is further intensified by the fact that I don't know if a solution exists to this problem ...
37 views

### Cancel common factors in symbolic product

Suppose I have the following function G[n_, k_] := Product[g[n + i]/g[i], {i, 0, k}] where $n,k$ are assumed to be natural numbers and $g$ is a nonzero symbolic ...
33 views

### Difficulty in evaluating the constants of simultaneous equations

How to find the constants A1, A2, B1, B2 using linear solve or null space function in Mathematica. ...
91 views

### How to properly attempt to express a function in terms of new variables

I have a specific problem in mind, but I am more interested in how to "properly" convey to Mathematica the result that I want. To start with, I have a function $G$ that can be represented ...