Questions tagged [assumptions]

Questions about the function Assuming[], the $Assumptions system variable, and the Assumptions option of functions such as Simplify[] and Integrate[].

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Using Refine function and take real part of a symbolic expression

I am trying to take the real part of the a complex expression using Refine function. However, the result doesn't come out as expected. The final result still ...
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Integral of a step function ,

I am trying to integrate a step function given in a book, but it doesn't work. ...
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Why does this minimization with parameters does not work?

This statement: Simplify[Minimize[{Exp[3 q], q >= 0}, q]] Returns correctly: {1, {q -> 0}} But this statement: <...
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Refine expression with given identities

I want to use Mathematica to refine some expressions for me. Ultimately I want to find some set of matrices that suffice to certain conditions. In my calculations I'm adding a diagonal matrix $A$ to ...
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Assumptions work for simple function but don't work for complicated function

Suppose the function f1[s1uppern_, s1lowern_]= I Sqrt[s1uppern - s1lowern]/(s1lowern - s1uppern)^(3/2) I want to simplify it assuming that ...
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Finding parameters that give constrained eigenvalues of matrix

I want to obtain the eigenvalues $x_1,x_2,x_3$ of a hermitian, off-diagonal matrix, {{0, Conjugate[d], Conjugate[g]}, {d, 0, Conjugate[h]}, {g, h, 0}}, under the ...