# All Questions

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### Loss of Kinetic Energy [on hold]

can somebody help me with how we walked from ((m1u12)/2)+(m2u22)/2) to ((m12u12 + m22u22 + m1m2(u12+u22))/2(m1+m2) . probably a walk through of how the loss of kinetic energy was gotten to be ...
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### Differential form heat kernel on hyperbolic space

Is there an explicit formula in the literature for the heat kernel of the Hodge Laplacian on differential forms? I found some on functions, but not on forms of higher degree. What at least about ...
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### Polish by compact is Polish?

Let $X,Y$ be separable and metrizable, with $Y$ Polish, and suppose there is a topological quotient map $f:X\to Y$ with compact fibers. Is $X$ Polish? I have a specific space in mind, so if the ...