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I made a very simple case:

testF[x_, y_, z_] = x^2 + y^2 + z^2
Simplify[testF[x, y, z]]

If {x, y, z} is normalized, the simplified result should just be 1. How could I specify this condition/assumption?

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Simplify[testF[x, y, z], Assumptions -> x^2 + y^2 + z^2 == 1] works on my end. –  Rahul Narain Aug 5 '13 at 0:36
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This question appears to be off-topic because it is too localized; i.e, it applies only to local situation and needs of its poster. –  m_goldberg Aug 5 '13 at 1:53
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