If A 1, . .., An are independent events, then n)- 1 _ ん に1
Prove that \に1 に1
If (an) is a sequence satisfying しに! Prove that If (an) is a sequence satisfying しに! Prove that
Using Chebyshevs inequality, find an upper bound on: にsum.NG X, in にsum.NG X, in
Find RT,チェェ)13 に3 Find RT,チェェ)13 に3
1 For n × p and p × m matrices, A and B write a pseudocode to compute the matrix product C AB and perform flop count. dik0kj に! 1 For n × p and p × m matrices, A and B write a pseudocode to compute the matrix product C AB and perform flop count. dik0kj に!
2. Suppose we want to multiply two N-by-N matrices, C-A B, by following the componentwise formula に1 (a) What are the operation counts? (b) In floating-point arithmetic, for which of these operations does the order matter? (c) Write a Matlab program that implements this formula. 2. Suppose we want to multiply two N-by-N matrices, C-A B, by following the componentwise formula に1 (a) What are the operation counts? (b) In floating-point arithmetic, for which of these operations does the order...
Find Vo(t) 6Ω 6.4A に0
Q2 Assume that an hydrogen atorn is in the ground state atに00. A pulsed electric field in z-direction єегр( t2/T2) is applied until t- oo. // Show that the total probability of the atom ending up in the n 2 state is, to the first order, is: where w = (E2-E)/h, and a is the Bohr radius.
Prove by mathematical induction that for the logistic map with , the sequence can be expressed as . r.r( 1-2) 7 f2ok (ro) に! 2 2 ok (xo r.r( 1-2) 7 f2ok (ro) に! 2 2 ok (xo