In a Raman scattering experiment, you take two spectra using a triatomic linear molecule. One spectrum is from setting a polarizer to pass vertical polarization and the other has the polarizer set to pass horizontal polarization. What should be the difference between the two spectra? What if...
How can I use the following definition to prove that the limit as n --> infinity of (n!)/(n^n) is 0 :
the sequence {an}-->a if
For all epsilon>0, there exists an N element of natural nos. such that for all n> or = to N, abs value(an-a)<epsilon
Can someone prove that there exists x and y which are elements of the reals such that x and y are irrational but x+y is rational? Certainly, there are an infinite number of examples (pi/4 + -pi/4 for example) to show this, but how would you prove the general case?