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

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0
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1answer
75 views

Special fractions generator

Note that 13/33, 1313 / 3333 , 131313 / 333333, ... They are always equivalent fractions Fraciones generate desire to have this property based arbitrary ...
44
votes
5answers
1k views

Advice for Mathematica as Mathematician's Aid

I use Mathematica mainly as an aid in symbolic attacks on problems, usually intermediate or harder and often number theoretic. While Reduce, ...
0
votes
1answer
42 views

How to simplify noncommuting multiplication of KroneckerProducts

I'm using NCALgebra. I was wondering if there is a way to simplify KroneckerProduct[a, b]**KroneckerProduct[c, d] to become: ...
2
votes
1answer
63 views

Simplifying the result of DSolve

I have a system of differential equations that can be solved with DSolve. However, the coefficients are very long there are like terms which can be combined. I used //FullSimplify in my code but the ...
4
votes
0answers
93 views

Simplest identity that cannot be proved by FullSimplify [closed]

Apparently, FullSimplify is not able to prove all true identities, but usually it does pretty well when it comes to elementary functions. I'd like to know what are ...
4
votes
2answers
109 views

Symmetrise a complicated expression

I am calculating the derivatives of a symmetric function $F(a_1, a_2)$ and got very complicated expressions, which I'd like to write in a symmetric form with respect to $1 \leftrightarrow 2$ (clearly ...
1
vote
1answer
45 views
2
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1answer
44 views

Simplify trigonometric expression

Mathematica correctly simplifies the following expression: ...
0
votes
1answer
74 views

Using Simplify to perform substitutions [closed]

I have a matrix element $k_x$ and I want to substitute it as $-i\kappa$, I tried ...
0
votes
0answers
40 views

Simplifying sums of rational trigonometric functions

After simplifying the trigonometric functions as advised before (cf. Simplifying Expressions for FindMinimum), I obtained a sum of 62 similar expressions, the first three as in the below: ...
1
vote
1answer
172 views
5
votes
3answers
185 views

How to simplify symbolic expressions with KroneckerProduct

Having $X,Y$ being symbols for matrices, I was wondering if there is a way to simplify expressions like KroneckerProduct[X, X] + KroneckerProduct[-X, X] to ...
5
votes
2answers
185 views

ReplaceAll problem

Bug introduced in 10.1 and persisting through 10.2 or later Confirmed, as bug, by WRI: [CASE:3402234] I am trying to combine terms of the type ...
1
vote
0answers
47 views

Simplify Integer powers in inequalities

I have a fairly simple expression that I am surprised Mathematica (10.1) won't simplify ...
0
votes
0answers
62 views

Is there more simplification tricks in mathematica?

I need to simplify the following expression in order to use InverseLaplaceTransform for it (Further work will be done so in need a way to find a very simple ...
0
votes
2answers
52 views

Replacement rules do not apply for an expression inside a root

Say, you have an expression which looks like this: myexpr = (mess)+(some other mess)/( (mess)^3+(some other mess)^2 )^(1/3) Here the 'mess' in the name of terms ...
3
votes
1answer
90 views

Separating exponential terms

Suppose I have a lot of expressions multiplied by factors such as: $$e^{-i\theta[1]-i\theta[2] - i\theta[3]-i\theta[4]-i\theta[5]}$$ I would like to separate this into a product of exponentials of ...
3
votes
1answer
111 views

Simplify oversimplifies. What to do about it?

According to Mathematica 10: $$Simplify[\frac{\frac{1}{t^2}-1}{(t+\frac{1}{t})^2}]==\frac{1-t^2}{(1+t^2)^2}$$ However, the first equation does not tolerate $t=0$ because of a division by zero, but ...
5
votes
2answers
109 views

How to use ForAll to prove things about functions?

Suppose I first declare: $Assumptions = ForAll[{a,b}, b > a, f[b] > f[a]] I (wrongly, as it turns out) assume that that this would cause ...
3
votes
1answer
98 views

Equality of Reciprocal with Negative Exponent

I want MMA to tell me if two, rather large, expressions are equal. My minimum working example follows. I want MMA to tell me that the following is true:$$x^n = \left(\frac{1}{x}\right)^{-n}$$ I have ...
-2
votes
0answers
66 views
2
votes
1answer
79 views

Simplifying Expressions for FindMinimum

I am currently trying to apply the FindMinimum function to find the lowest energy of an expression. My current expression as of now is relatively complicated. It is the summation of 48 similar terms, ...
2
votes
2answers
70 views

Trouble simplifying using Replace

I have the following expression: w.a.b.r+w.c.d.r I want to get: w.(a.b+c.d).r So far I used ReplaceRepeated: ...
1
vote
1answer
49 views

How to apply Simplify only to elements of list that cause specific Warning

I have a set of replacement rules I use to analytically compute nested integrals of very long symbolic expressions since Integrate literally takes forever. To do ...
1
vote
1answer
72 views

Pulling out a prefactor from a dot product

I have three complicated vectors u, v and w as well as three simple prefactors ...
4
votes
1answer
130 views

Dealing with 6 VERY large equations. Am I doing this correctly, and can I expect a solution?

I'm new to Mathematica, but so far, everything seems straight forward and intuitive, which is really nice. However, I've come to use this software since I have to show a rather nasty 3x3 matrix is ...
4
votes
3answers
162 views

How to simplify 1 - Cos[2x] to 2 Sin[x]^2?

I want to reduce all Cos[2 x] to 1 - 2Sin[x]^2, it seems Mathematica will always simplify ...
0
votes
1answer
30 views

Expanding a function with trigonometric expressions in a controlled manner by excluding addition identities

I want to simplify a nonlinear equation with trigonometric terms. After I've expanded I don't want to loose open terms to Trigonometric Addition Formulas ...
6
votes
2answers
61 views

Simplify expression to Integer

I have the following function: f[n_]:=(n-1) E Gamma[n,1]; I know that this expression always evaluates to an Integer, but Mathematica doesn't always output the ...
1
vote
0answers
47 views

How to remove parts of an expression

I have an expression where terms Transpose[R].R appear. R is a matrix with the property Transpose[R].R=IdentityMatrix[3]. How ...
3
votes
1answer
86 views

Simplify a huge expression with limited memory

I would like to perform some analytical sums such as the following ...
0
votes
1answer
36 views

How to simplify a quotient with exponents (using power rules)

I'm trying to simplify the following expression (b (1 - x)^n (-1 + x)^-n (-1 + x - w x)^n)/(n (-1 + w) (1 - x + w x)). All parameters and the variable x should ...
-2
votes
1answer
35 views

How can I simplify this simple formula? [closed]

:) If we have x+(x*l), is it possible to simplify this, on having only one single x?
0
votes
0answers
37 views

How to print intermediate steps of simplifying a power formula? [duplicate]

To answer the question of proving Fibonacci sequence is periodic mod 5 without using induction., I came across Mathematica to prove $$F_{n}\equiv F_{n+20}\pmod 5$$ for all $n \geq 2$ I defined: ...
2
votes
3answers
117 views

Question on alternate forms of polynomial output

EDIT: Would it be possible to do something like let $y=ax+b$ then use Collect[] or Apart[] on the new expression? How would I go about this. I've tried using Collect[%,ax+b], Collect[%,{ax+b}], and ...
14
votes
1answer
233 views

What's wrong with Simplify and FullSimplify?

I have a quite complex list of equations and inequalities I combine to a boundary condition for my cost function. After investigation of two days I found the bug (I really name it a bug!). One of my ...
4
votes
1answer
79 views

What options need to be set for Simplify to perform a certain manipulations similar to FullSimplify?

Simplify performs algebraic transformations and is fast, while FullSimplify tries a wide range of transformations involving ...
0
votes
1answer
33 views

How can I manipulate a long expression to order it by factors/derivatives of a particular function?

I have a Mathematica notebook that generates a linear expression involving derivatives of a given variable. Expanded (and simplified for our purposes), it looks something like this: \begin{equation} ...
1
vote
0answers
46 views

Inverse Laplace computation Mathematica

I have a transfer function such as following, which I would like to find its inverse: F=(a*s^2)/(b*s^3+c*s^2+d*s+e) I have a numeric value for a b c d and e but ...
11
votes
1answer
173 views

Using Simplify on a consistent system returns False

Bug introduced in 8.0 and persisting through 10.2 or later It's late, but am I missing something here? Why should two independent equations, which together are consistent, ...
2
votes
1answer
102 views

Simplification of exponential

I would like to understand why FullSimplify doesn't entirely simplify this expression ...
0
votes
0answers
61 views

PolyLog does not simplify

How come mathematica can not simplify a simple expression involving the PolyLog function? An example is: You know that ...
1
vote
1answer
66 views

What am I missing on this part of the documentation?

In the documentation for FullSimplify, under Options > Assumptions it is stated that: When assumptions are given as an argument, $Assumptions is used as well: ...
2
votes
3answers
60 views

Simplifying Logs assuming arbitrary arguments real and positive

I have some expressions involving Logs which I would like to simplify. Unfortunately FullSimplify doesn't work because it assuming the arguments are general. I have no way of knowing a priori what the ...
0
votes
0answers
18 views

Not Simplify automatic some expression(values)

I try to calculate $$\text{res}\left(h(z) (\psi ^{(0)}(z)+\gamma )^2,\{z,-4\}\right)$$ the result is $$\frac{1}{6} \left(6 h'(-4)-25 h(-4)\right)$$ the result it is possible to write as $$2 \left(6 ...
0
votes
0answers
26 views

Create Linear System from derivatives of variables and solve it [duplicate]

I have the following simply function: f[x_, y_, z_] = (x - A)^2 + (y - B)^2 + (2*z - C)^2 + (5 + z + x - D)^2 + (y - 2 + 2*x)^2 + (y - z + F)^2 I am ...
4
votes
1answer
90 views

Collect without grouping terms

The built-in function Collect, when applied to more than one variable, will group expressions by the first variable, as here: ...
2
votes
1answer
70 views

Wrong result after Simplify of a complex variable with assumptions satisfying an inequality

Using Mathematica 10,Simplify[a\[Conjugate], Assumptions -> {(a + a\[Conjugate]) > 0}] returns a, i.e. treats ...