Recent content by EvLer

Homework Statement A signal x(t) is transmitted and received back as y(t) and sampled in the receiver, so we get a DT signal y[n] = ax[n-D] + w[n], where w[n] is noise baiscally i need to explain how we can measure the time delay by computing crosscorrelation Ryx(l). My undestanding is...

well, no it is not a disjunction, that is why I said I was asking, plus it is INVERTED ... sounds more like it is a relation, although i think in certain other cases it is used like a "sigma"-notation, i.e. from 1 to n "and" certain literals together to form a formula. I guess i should have...

what does a big inverted V stand for? it's not "and" because it's used right in front of a literal (atomic formula) not sure if it's a quantifier... This is a paper discussing approach based on deontic logic that I am scanning through, but this sign i cannot figure out how to search online...

I don't know... what I actually have to prove is that ||A+B|| <= ||A|| + ||B|| follows from a norm of a matrix A: ||A|| = max (||Ax||/||x||)

Is this a valid step? ||Ax|| + ||Bx|| <= ||A||*||x|| + ||B||*||x|| ?? where A and B are actually matrices, x is a vector but actually it can be reduced to just numbers and a variable, respectively. And ||x|| = sqrt (x*x) thanks as always :)

I do not have a specific problem to show, but was wondering if someone could give tips on how to see or develop intuition on those eigenvectors for (2x2 and 3x3) matricies, i.e. which are the cases where they are obvious and how to see it, other than diagonal matrices (i.e. only diagonal is...

How would I compute the type 1 error rate of the following test: accept that coin is fair if in 30 tosses the coin gives between 11 and 19 heads (inclusive), reject otherwise. I guess my Ho is 11/30<p<19/30 and H1: p < 11/30 or p > 19/30 so type I prob = P(p < 11/30) + P(p > 19/30)...

here's a statement "pipelining wires is an effective mechanism to overcome intrinsic wire latency" as related to the microprocessor architecture. What exactly is this "pipelining of wires"? I know what a pipeline architecture is of a processor vs let's say multicycle, but pipelining WIRES...

ok, so you are saying that A does not have to be diagonalizable for a solution to exist? I am trying to see relations to the diagonalization

Homework Statement solve initial value problem for the equation dx/dt = Ax where A = [1 -1] [0 1] x(0) = [1, 1]T x(t) = S*elambda*t*S -1*x(0) where S is diagonal matrix, lambda is eigenvalue; The Attempt at a Solution I tried to diagonalize it, but I get one eigenvalue =1 mult 2 and I don't...

Homework Statement find closest function a+bx3 to x2 on the iterval [-1,1] (we consider standard inner product (f,g) = integral(-1 to 1):fgdx So, here is my attempt, but I got a suspicious result: [(1,1) (1,x3)] [a] [(1,x3) (x3,x3)][b] = [(1,x2)]...

oh, yeah, looked at further chapters, now I see the spectral theorem. Thanks a lot.

ummm... not there yet

This is a T/F question: all symmetric matrices are diagonalizable. I want to say no, but I do not know how exactly to show that... all I know is that to be diagonalizable, matrix should have enough eigenvectors, but does multiplicity of eigenvalues matter, i.e. can I say that if eignvalue...

oh, ok, I know where I got confused: othogonal is always independent, independent may not be orthogonal... thanks