# Questions tagged [expression-manipulation]

How to manipulate expressions structurally, not necessarily complying with the rules of algebra.

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### Manipulation of expression

Let ss2 = (γ + ν)/β; is2 = ((γ + ν)/β) (β/((γ + ν)) - 1); I wish to do the following computation but want to keep the output in terms of ss2 and is2: ...
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### Simplify radical expression (a + b - Sqrt[a^2 - b^2])/Sqrt[a + b]

I have the following expansions: $\frac{a+b-\sqrt{a^2-b^2}}{\sqrt{a+b}}$ and $a>b>0$ Obviously we can simplify it further by hand $\sqrt{a+b}-\sqrt{a-b}$, but Mathematica doesn't know how to ...
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### Block Behavior, but for Function Assignment instead of Variable Assignment

We can define a function using a variable b that does not appear as an argument, and then using Block, change the output of the ...
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### How i can move the slider Below X axis and beside Y axis of plot? [closed]

I want to place this slider below the x-axis and Vertically beside the y-axis.
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### Cutting of terms on denominators of giant expression

I have an immense expression of the form $$\sum_i \frac{f_i(X,Y,x,y)}{(a_iX^2+b_iY^2+c_ix^2+d_iy^2)(e_iX^2+g_iY^2+h_ix^2+k_iy^2)},$$ where at $a_i$ or $b_i$ AND $e_i$ or $g_i$ is different from zero....
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### Can I specify which terms to show on the left side and which on the right side of an equality in output?

Mathematica unexpectedly moves a part of the result of the calculation to the left side where I want to display only the unknown variable. Can I prevent this?
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### Grouping together same exponent terms in a multivariate monomial

This is a rather simple question but for some reason, I am spending too much time on this. Suppose I have a monomial in 4 variables, each raised to some linear combination of 3 exponent variables: <...
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### Make Mathematica not to evaluate an integral?

I want the output to contain an integral, while everything under the integral sign evaluated. How can I prevent the system from evaluating the integral?
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### Input output in Wolfram Cloud

This is a starter query. I know if I enter 2+2 and press enter, I get 4. Similarly, I enter ...
198 views

### Manipulating an equation to isolate a term (not solve for a variable)

Consider the following minimal example of my problem: eq = (a^2 + a == b^2) I would like to manipulate this equation to achieve: ...
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### Evaluate a function with 3 different variables for the whole list of each variable

I have a function with 3 variables f[t1,t2,t3] Each function has a list of values ...
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### Decompose expression into specified form of partial fractions

In order to obtain the partial fractions of an expression, I used the function Apart to realize it. However the result is shown as Figure 1 which isn't what I want. ...
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### Formal substitution of exponential factors in an expression

Assume that we have some complex algebraic expression, like Exp[(a t + b s)/w] ( t Exp[ q t] w + q Exp[q s] Exp[-2 s] + a^2 Exp[3 s] + s t + 1 ) Now, this is just ...
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### 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 ...
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### Mathematica refuses to distribute a scalar through parentheses

I’m working on a problem involving Kelvin-Helmholtz instability and I’m trying to perform the linearization on Mathematica. For some reason when I get to my first order equation (ε × stuff + O(ε²) == ...