Recent content by EvLer

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    Cross Correlation Homework: Measuring Delay

    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...
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    Mystery Symbol: What Does a Big Inverted V Mean?

    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...
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    Mystery Symbol: What Does a Big Inverted V Mean?

    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...
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    True/False on Matrices: Answers & Explanations

    1. If B is formed from A by exchanging two rows then B is similar to A 2. If a triangular matrix is similar to diagonal, it is already diagonal 3. If A and B are diagonalizable so is AB 4. Every invertible matrix can be diagonalized My answers: 1. F: eigenvalues change, so the Jordan form...
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    Is this a valid step?||Ax|| + ||Bx|| <= ||A||*||x|| + ||B||*||x||

    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||)
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    Is this a valid step?||Ax|| + ||Bx|| <= ||A||*||x|| + ||B||*||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 :)
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    Developing Intuition for Eigenvalues and Eigenvectors in Matrices

    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...
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    Computing Type 1 Error Rate for Coin Test

    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)...
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    Testing for unknown proportion

    Homework Statement for testing Ho : p = 0.2 vs H1: p > 0.2 when will the power of Rao score test be larger: 1. alpha = 0.05 n = 10 2. alpha = 0.01 n = 10 Homework Equations Rao score test: reject Ho when |sqrt(n)*(p' - po)/sqrt(po (1-po)| > z(alpha) po in this case = 0.2 and p' is...
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    Pipelining Wires: Explained for Microprocessor Architecture

    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...
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    Diff equation by diagonalization

    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
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    Diff equation by 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...
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    Optimizing Polynomial Approximations for Even Functions on Symmetric Intervals

    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)]...
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    Symmetric matrix and diagonalization

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

    ummm... not there yet
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