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Sometimes I have very long and complicated equations, when I evaulate the equations for example taking derivative or integral there will be several conditions with the answer. My question is that; is there any way that I enter the conditions at the begining of the program so that so that it will not appear in the evaluation result?

I will give a simple example:

pdf = x^(L-1)/( γ^L Gamma[L]) Exp[(-x)/γ];
Re[L] > 0;

Integrate[ pdf, {x, 0, γ}]

ConditionalExpression[ (Gamma[L]-Gamma[L,1])/(Gamma[L]),  Re[L] > 0 ]

in the above example even if I write the condition which is Re[L] > 0, it will appear again at the result of evaluation.

Artes
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sky-light
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    Most likely you are looking for ways of imposing assumptions. This question is closely related: How to specify assumptions before evaluation? or simply a duplicate. – Artes Sep 10 '13 at 10:38
  • thanks for the answers. my question is is specifically that; is there anyway to write conditions at the begining of the program so that you don't need every time repeat them with your equations. – sky-light Sep 10 '13 at 11:25
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    Have you read answers to the linked question? Namely you need $Assumptions = Re[L] > 0 and appropriately writing your integral. – Artes Sep 10 '13 at 11:50
  • Hi Artes, that was the answer of my question. $Assumptions = Re[L] > 0

    you can write all your conditions at the begining of the program like this:

    $Assumptions = Re[b] > 0 && Re[Sqrt[b]] > 0;

    by putting && between your conditions.

    Thanks

     – sky-light Sep 10 '13 at 15:30

2 Answers2

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cdf = Integrate[pdf, {x, 0, \[Gamma]}, GenerateConditions -> False]
ubpdqn
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Yes, you can use Assuming, eg. for your particular example:

Assuming[{Re[L] > 0}, 
 Integrate[x^(L - 1)/(\[Gamma]^L Gamma[L]) Exp[(-x)/\[Gamma]], {x, 0, \[Gamma]}]]

This gives:

1 - Gamma[L, 1]/Gamma[L]

RunnyKine
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