Questions tagged [simplifying-expressions]

Questions on manipulating complicated expressions and making them look simpler using Simplify, FullSimplify and Reduce.

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Understand a result of FullSimplify

FullSimplify[((Sqrt[5] - 1)/(2*2^(1/4)))*Sqrt[Sqrt[2]*5^(1/4) - Sqrt[Sqrt[5] - 1]]] returns ...
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19 views

Mathematica does not make obvious simplifications using Feyncalc

Just recently, I got introduced to the FeynCalc package and in order to really understand how it works, I decided to try and re-compute the Feynman Propagator of a normal QFT (without using FeynCalc's ...
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35 views

Simplify is giving wrong result in Mathematica [closed]

I am trying to do a simple multiplication of variables in Mathematica: Simplify[n*(n + 1)*(n + 2)] /. {n -> 6*p + 1} This gives me the output: ...
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2answers
51 views

Approaches to expression reduction

I am still learning how to use Mathematica more efficiently, but something that I keep bumping into is problems with it reducing formulas. Often, I'll ask it to compute a certain formula (take a ...
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0answers
31 views

How to express sum of rational functions as a single term [closed]

I have rational functions $\dfrac{q_1(x)}{p_1(x)},\ldots,\dfrac{q_n(x)}{p_n(x)}$ whose numerator I am trying to compute. I want mathematica to take the lcm of $p_1(x),\ldots,p_n(x)$ and express the ...
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31 views

Converting Tensor product to Matrix

I have a basic question regarding matrices and tensor product forms. Given $N > 0$, I am interested in the tensor product series $\sum_{i}^{N} X_i$, where $X_i$ is the Pauli $X$ spin operator at ...
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1answer
28 views

Perform Eliminate, Solve and Format at once in Mathematica

I have a series of equations where I use eliminate to get a new equation with desired variables. This equation is then solved for a specific variable and then the result is presented in a specific ...
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1answer
72 views

How to simplify the following integral to be in terms of Bessel functions?

I have evaluated the following integration using Mathematica. I obtained a solution in terms of Meijer G function. I wonder if it can be simplified to be in terms of Bessel functions. ...
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1answer
109 views

How to show these two expressions are the same?

I think Can be simplified to $-x^2$ I tried Reduce, FullSimplify, FunctionExpand, and ...
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2answers
67 views

Create my own 'Refine' function

I'd like to understand how the Refine function works internally. I tried to create my own Refine function to support basic cases,...
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3answers
87 views

Simplifying a expression containing an even function

I want to simplify a expression with a even function Df[x] == Df[-x] ...
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1answer
58 views

How to simplify equation in Mathematica? [closed]

I would like to know how can I simplify the following: in Mathematica.
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4answers
526 views

Why MMA refuses to simplify the following simple expression?

I have the following simple expression Exp[(Log[1 + x]^2 - Log[x]^2)/Log[1 + 1/x]] - x^2 that can be shown to simplify to x for ...
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1answer
67 views

Expression conversion to a sum of base-N

I have: 1/(2^(1/2) - 2^(1/3)) And would like to dissolve the denominator and convert it to sum of numbers in the form 2^q where q is Rational. Does Mathematica ...
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1answer
41 views

How to solve three simultaneous equations on Mathematica to get N in terms of X,Y and Z?

I am trying to solve a system with 3 equations 3 unknowns. My code is following X = A1*S + N1 Y = A2*S + N1 Z = N1^2 + A1N1S + A2N1S + 2A1A2*S^2
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0answers
97 views

Help with simplifying very complicated expressions

The following forms the matrix b: ...
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1answer
81 views

Simplifying Floor/Ceiling expressions

I'm working with symbolic expressions using Floor and Ceiling, and I'm unable to get Simplify...
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0answers
40 views

dot product of vectors with noncommutative elements

I came upon an interesting problem. Suppose you have three vectors $\psi=(a, b)$, $\phi=(c,d)$ such that their components do not commute: $ac\neq ca$, $bd \neq db$ etc. (in general the vectors may ...
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1answer
52 views

function within function

delFunc[funcform_, lstofparams_,lstoferrs_] := √Total[Table[(D[funcform, lstofparams[[i]]]*lstoferrs[[i]])^2, {i,Length[lstofparams]}]] ...
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1answer
57 views

simplifying indefinite sums containing Kronecker Deltas

I want to simplify indefinite sums containing KroneckerDeltas, e.g: $\sum_{k,k1,q} \beta(q) \beta(k+k1+q) \delta(k1+q)= \sum_{k,q} \beta(k)\beta(q)$ where $k,k1,q \;\epsilon \; \mathrm{R}$ ...
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3answers
104 views

FullSimplify doesn't simplify enough

In 12.1.0 for Microsoft Windows (64-bit) (March 14, 2020), writing: ...
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0answers
48 views

How to see the close form of special polynomials in mathematica?

Is there any way to decompose a polynomial (for example $x^2+2x+1$) by using an identity ($(x+1)^2$)? Moreover, it could be interesting to know this command for other mathematical identities. For ...
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0answers
34 views

Simplifying expression involving Boson operators

I want to do calculations involving Boson operators $a(k), a^{\dagger}(k)$, e.g $(x + a(k))(y+a^{\dagger}(k))$. My code is: ...
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1answer
65 views

Simplify and solve an N-term exponential equation

How does one express this sum into Mathematica: $$10^{k-1} + 10^{k-2} +....+ 10 + 1$$ I think I have to use the Sum function? Then run it over N=K..1? But then I want to substitute and evaluate it for ...
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0answers
29 views

summation involving Kronecker Deltas

I see that: Sum[u[q] u[k] v[k1] v[k + k1 + q] KroneckerDelta[k1 - q], {k1, -\[Infinity], \[Infinity]}] produces the correct result: ...
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0answers
47 views

Simplifying an expression involving square roots

Consider a minimal example: FullSimplify[Sqrt[2/15 (7 + 3 Sqrt[5])]] This will turn out nothing. On the other hand, the expression can be indeed simplified, since <...
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2answers
63 views

RecurrenceTable is not honoring FullSimplify

I define a function nextK and compute the first three terms in a recurrence as follows: ...
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2answers
70 views

Simplifying expression involving Trignometric functions

Mathematica is not simplifying the following function. I have tried TrigExpand, FullSimplify, etc. Nothing is working. ...
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0answers
30 views

Simplify the coefficient of an expression after calling Collect

I have an expression for which I have run Collect to get the expression in terms of a few variables. I now want to run Collect ...
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0answers
25 views

How to stop Mathematica from using polynomial relations to simplify expressions

I am making a table whose entries involve Jacobi polynomials, $P_n^{(\alpha,\beta)}(x)$. Each entry contains some expression polynomials as a function of $n$, i.e. the first entry will be some ...
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2answers
56 views

Solve for two variables but output second variable in terms of first variable

Here are some equations for illustration: Format[Solve[{4*r1^3 == r2^2*(3*h), t*r2^2*(h - d) == r2^2*(h + d)}, #] & /@ {{h, d}}, InputForm] Here is their ...
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0answers
126 views

Simplify trigonometric functions to take the Laplace transform

I have one trigonometric function which is simplified as f[t_, RV_, H_] := 0.000308148 H Cos[0.172439 RV Sin[2 \[Pi] t]] It is an input to one ODE which I want to ...
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1answer
57 views

Combining multiple graphs in one photo without consulting external programs [closed]

I want to add many plots from Mathematica into one picture and export as a PDF. Usually I select the plot and copy it as an image to Word, however the image reduces the accuracy of some plots. How can ...
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0answers
32 views

Evaluating functions at particular points

I'm a beginner with Mathematica, and I'm running into an issue that I don't quite understand. I define the quantities denom1 = (Sqrt[k^2 + m^2] - p)^2 - k^2 - m^2 ...
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0answers
71 views

Need help with symbolic tensor calculus using Kronecker products

I am quite new with Mathematica. I need to do symbolic tensor calculations but what I try does not seem to work. I have found similar questions to mine, but I need a generalization Specifically, if <...
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2answers
33 views

How to help Simplify with conjugates without using ComplexExpand

I have a seemingly simple simplification involving conjugates: $Assumptions = Element[{a}, Reals]; FullSimplify[ x E^(I a) + Conjugate[x] E^(-I a)] which merely ...
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0answers
49 views

Trigonometric Simplification and Double Angle Formula

I am trying to achieve the formula hbar / 2 * cos(wt) * sin(theta). However, my Mathematica expression doesn't seem to simplify the half/double angle formulas. I am ...
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1answer
44 views

How to put numerator and denominator in a canonical form?

I have the following expression that I obtained after some computation: ...
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0answers
42 views

Reading product of same ByteArrays

I am handling a huge set of data and I am trying to optimize my code. I have very large expressions to expand and simplify and I've seen that converting the expressions to ByteArrays improves a lot ...
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0answers
42 views

Simplifying elements of a matrix

These elements of the matrices can be simplified by hand much further{roots can be cancelled and all}, yet the Fullsimplify in Mathematica doesn't simply it completely. The matrix is: ...
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0answers
35 views

Exponential simplification in Refine, Simplify and FullSimplify

These lines are the MWE of a bigger script ...
2
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1answer
67 views

How to prevent TrigReduce auto evaluating Sin and Cos

Mathematica automatically evaluates Sin and Cos when TrigReduce is applied. For example, <...
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0answers
43 views

FullSimplify not working

\[Phi]=\[Pi]/8 G=Cos[\[Phi]]*M+ I*Sin[\[Phi]]*N In the answer to the above code I am getting an answer without any reduction as follows I have tried ...
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1answer
45 views

How do I give assumptions to Simplify or Solve? [closed]

I've have the expression: q2sol = (Sec[2*a1]*Tan[a1]^3*(-7 + 6*Cot[a1]^3*Sqrt[Tan[a1]^2]))/(6*Sqrt[Tan[a1]^2]) I know that a1...
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1answer
41 views

Using FullSimplify to simplify an expression with assumptions

I am working with Poisson brackets of Angular momentum, and I want Mathematica to be able to return the angular momentum function if the Poisson bracket yields that result. I.e. provided ...
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0answers
46 views

Making a equation smaller and more readable by using another variable [duplicate]

I am deriving an expression and the output of it is a very long mathematical expression. I want to minimize the equation by substituting some other variables. For example: This is just an example ...
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1answer
38 views

Algebraic simplification of elements in a matrix

The matrix is defined as: ...
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0answers
38 views

How to change behavior of Echo or turn it off without removing it from code?

I wish to use Echo for output of intermediate results if an OptionValue I call ...
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0answers
61 views

Problematic matrix calculation [closed]

I have defined matrix as such u1 = {0, I, 0, 1}; u2 = {I, 0, 1, 0}; λ1 = Sqrt[m/2] (u1 + (I*u2)); Now I define the matrix multiplication with $ 4\times 4 $ matrix ...
2
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1answer
49 views

Find values of n for which expression is integer

I have an expression for which I want ot find values of n that will make it an integer. Here is the expression: (n^(3/2) - n)^(1/3) or n^(1/2) - n^(1/3) I want to ...

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