Suppose a c mod n and bd mod n.
(a) show that a + b c + d mod n
(b) show that a * b c * d mod n.
It is given that is a right triangle, degrees and BD is the height to the hypotenuse. i) Find a similarity to show that . ii) Find a similarity to show that iii) Prove that We were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to transcribe this image
Suppose that a) show that is a context free language b) show that for every is also context free We were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to transcribe this image
suppose prove that 0 is the only eigenvalue of N (hint: fist show 0 is an eigenvalue of N, and then show if is any eigenvalue then =0 We were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to transcribe this image
Let a and be be in . Show the following. If gcd(a,b)=1, then for every n in there exist x and y in such that n=ax+by. We were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to transcribe this image
a) Suppose we know that the series is convergent, where the sequence an is nonzero. Show that the series is divergent by applying the appropriate test. b) Suppose we know that the series is convergent, where the sequence cn consists of exclusively positive terms. Show that the series is convergent by applying the appropriate test. We were unable to transcribe this imageX 1 in n=1 We were unable to transcribe this imageWe were unable to transcribe this image
With the standard Dirac Hamiltonian plus Coulomb potential below: a) Show that . b) Show that , where . c) Show that . d) Since all mutually commute, they should have common eigenfunctions, and thus using (c), find the eigenvalues of K2 and K, in terms of j. We were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to transcribe this imageWe were...
Suppose that is nonempty and bounded above. Then has a supremum. Note: Show that there is a least element such that is an upper bound for . if is not a least upper bound for , show there is at least such that is an upper bound for . Proceed in this way to find the supremum. We were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to transcribe this image21 We were unable to...
Suppose is a sequence and that the numbers , , , ... are limit points. Show that 0 is also a limit point. We were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to transcribe this image
Suppose constitute a random sample drawn from a population N(, ) and constitute a random sample drawn from another population N(, ). The two samples are drawn independently. Derive a generalised likelihood ratio test for testing against where and are positive constants such that > . We were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to transcribe this imageμ2 We were unable to transcribe this imageWe were unable...
Find the indefinite integrals for the following: a.) b.) c.) d.) (the exponent is ) Please show work, thanks! We were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to transcribe this image