Computing Definition and 732 Threads

If I have a variable X whose gaussian distribution is known and let f be a known function, is there a way to compute f(X) (i.e) the resulting gaussian distribution from this? Is the result actually a gaussian distribution?

Homework Statement Choose an even number in the interval [100,199] and compute its orbit under the proper divisor function. Homework Equations Proper Divisor Function = σ(n) = Sum of all divisors of n, excluding n The Attempt at a Solution I am unsure what it means by "compute the...

Homework Statement I have a given Metric: ds^{2}=A(u,v)^{2}du^{2}+B(u,v)^{2}dv^{2} And I'm asked to compute its curvature, and use this result to compute the curvature of the poincare metric: Set A=B=\frac{1}{v^{2}} The Attempt at a Solution I'm using Cartan's method. So first I change to an...

Here is the question: Here is a link to the question: Quick Calculus 1 question!? - Yahoo! Answers I have posted a link there to this topic so the OP can find my response.

I am very interested in Quantum Computing but I am worried about getting a job, making it into a good university to do post grad etc. Do I need to do computer science to work in quantum computing research and development? I like computers but I don't like studying it, I have textbooks of...

I had a question about computing determinants and just was wondering what was allowed. So I know that for an n x n matrix, you can go across a row and choose the matrix element as your determinant coefficient for the (n-1) x (n-1) determinant and you go across the row and do this until you're...

Hi everyone. I've been looking at some computer aided design software, FreeCAD, and while it's to my understanding that engineers use programs like this constantly I wanted to ask if anyone knew if there programs are used in scientific computing or computational science and engineering. From...

Munkres proof for the Lebesgue number lemma which is (If X is a compact metric space and A is an open covering then there exists δ>0 such that for each subset of X having diameter less than δ , then there exists an element of the covering A containing it) gives a way to compute δ using a...

Hi This is help from lectures on quantum computing that I missed due to illness and now my professor is away. 1) Can anyone help me on what a function gate is and its matrix representation? I realize that the function is not something like x^2 but something that takes a value from 0 or...

EDIT: I'm not in my sharpest moment. I just found a bunch of posts that discuss this. I'll read them and update this post if I find an answer. I'm working on a hard-sphere MC simulation (for a class). I want to compute the radial distribution function g(r). To put you in context, as to my...

Greetings to all, I know activity for a Am-Be neutron source. I want to compute strenght source in neutrons/s. Yours advices are welcome. Thank you!

Is there theoretically any way to compute a coefficient of friction (solid on solid) without an experiment between the two materials? Say, some kind of simulation, or perhaps comparing both materials to an intermediary material?

Hi hi hi, So guys I'm just having a little trouble with this question.. Compute the ratio between the luminosity from part B to the mass from part A. How does that ratio compare with the Sun's ratio of luminosity to mass? So for part A I got 1Msun and part B I got 1000Lsun So to compute the...

Homework Statement The Attempt at a Solution Alright, so, I'm clueless about doing this one. I do know that it's extremely similar to e^x \sum_{n->0}^{\infty}\frac{x^n}{n!} But really, that means nothing! Usually there's another function/series I can compare and then integrate, in...

Homework Statement Just checking if these are right? f(b) = 2-2√b compute limit in are as: b-> 0+ b->1- Explain in a brief sentence why it does not make sense to compute a limit as b->0- Homework Equations given above The Attempt at a Solution lim b->0+ (2-2√b) = 2...

I know the result: \widehat{H(f)}=i\textrm{sgn}\hspace{1mm}(k)\hat{f} I thought I could use fft, and ifft to compute the transform easily, is there a MATLAB command for sgn? Mat

Homework Statement Let C be the semi-circle on the sphere x^2+y^2+z^2 = 2 from N = (0,0,\sqrt{2}) to S = (0,0, - \sqrt{2}) which passes through the point (1,1,0) Note that x=y for all (x,y,z) on C. Evaluate the integral : \int_C z^2dx + 2x^2dy +xydz Hint : Use as your parameter the angle θ...

Homework Statement Let C be the arc x=t^2, \space y=2t, \space z= \sqrt{4+3t} for t \in [-1,0] Evaluate the line integral : \int_{C} z^2dx + \sqrt{x}dy - 4xyz dz Homework Equations \int_{C} f(P) dx = \int_{a}^{b} f(P(t)) x'(t) dt for t \in [a,b] The Attempt at a Solution So...

I have never—and I really do mean never—seen an article in the mainstream press about quantum computing that didn't get it completely wrong. I don't just mean "over simplified"—physics is highly technical and ignoring important details for lay audiences is just a fact of life. I mean that they...

Link: http://research.microsoft.com/en-us/projects/dna/ As I was experimenting around with that simulator, and realized that the language have some similarities with the assembly language, I asked myself: "Are programming languages such as C++ (or at least some of its concepts) will still...

Suppose I have the following transformation: u = \frac{x}{x^2+y^2+z^2} v = \frac{y}{x^2+y^2+z^2} w = \frac{z}{x^2+y^2+z^2} Is there a fast way to calculate the determinant jacobian without having to deal with the whole 3x3 determinant? I noticed that the inverse...

Homework Statement Show that three controlled-NOT gates (for a 2 qubit system) can be combined to form a SWAP gate. The control qubit alternates between the 2 qubits for each consecutive c-NOT gate. (The diagram is Figure 5 of the following notes...

says that computing power at an economic price roughly doubles every year. this relies on the fact that we can stuff more transistors into smaller spaces. we won't reach quantum limitations until atleast 50 years. where will we (humans) be by than?

Hi all, I was just wondering if there has been research into computing using electromagnetic waves. It seems to me like a sealed off box with internal EM pluses could be used to mould waveforms through interference, which would act as logic gates to provide useful computational results. Would...

Homework Equations e=(product of number of driving teeth)/(product of number of driven teeth) e=(n_{out}-n_{arm})/(n_{in}-n_{arm}) The Attempt at a Solution e=(N_{p1}/N_{s1})*(N_{s2}/N_{p2}) e=1.25926 e should be 0.7941 however From there out it seems pretty trivial. I just need...

With the phenomenal speed to be expected from quantum computers in the future, todays encryption techniques such as RSA will be pretty much useless. A quantum computer could factorise 600bit+ numbers in a relatively short period of time. Aside from Shor's algorithm, are there any other...

Homework Statement Consider the hyperboloid x2+y2-z2 = 1 at the point (1,0,0). Take the normal direction i to the surface. a) Compute the curvature of the circle x2+y2=1 on the hyperboloid (z=0) at the point (1,0). b) Compute the curvature of the hyperbola x2-z2=1 on the hyperboloid...

Hi there! I'm currently having great fun using numpy/scipy in python for astronomical data analysis. (I've been using C for this before, but it takes too much time to implement simple things that are in numpy/scipy already) Recently I've been told that most of people are using C or Fortran...

Homework Statement Consider a universe where there are two types of matter: dust and curvature. The density of dust evolves with time as ρdust(t) = ρ0R(t)^(−3) and curvature evolves as ρcurvature = −kR(t)^(-2) where ρ0 and k are constants. The Friedmann equation is: H^2 = [(8∏G)/3][ρdust...

Does anyone have a good book or reference on computing riemannian connections. I'm looking at Do Carmo and can't find any examples. For ex. If X = y(d/dx) + x(d/dy) + w(d/dz) -z(d/dw), Y = z(d/dx) - w(d/dy) - x(d/dz) + y(d/dw), Z = w(d/dx) + z(d/dy) - y(d/dz) - x(d/dw) being the classical...

Homework Statement Density of f_x (x) = 4x^4 for 0<x<1 Y=(x-1/4)^2 Z= X^-2 Determine density of Y and Distribution of Z Homework Equations The cdf of f_x (x) is invalid since F_x (x) = (4/5)x^5 so the limit to infinity does not equal 1 as a cdf should have. Am I missing...

1. Jupiter radiates more energy than it receives from the Sun by 8.7x10-10L0. Jupiter's radius is 7.0x109cm and its mass is 1.9x1030g. Compute its thermal time scale. Could gravitational collapse power this luminosity for Jupiter's entire lifetime of 4.5 Gyr? 2. Kelvin-Helmholtz (aka...

Check this out: http://www.kickstarter.com/projects/adapteva/parallella-a-supercomputer-for-everyone. It's a project that aims to create open source hardware for scalable parallel computing. If you pledge $99, you get one of the computer they are building. In case anyone is wondering about...

Homework Statement I attempted this problem, and i have a midterm tommorow. I thought my approach was correct but I don't have a clue if it actually is. I drew a simple right angle triangle according to the information given in the question. A ball swings in a vertical circle at the end of a...

I need help with Part (b). I finished part (a) and attached it as well. My issue comes from how to apply the definition of connection forms to compute them. The definition states: Let E_1, E_2, E_3 be a frame field on R^3. For each tangent vector v at R^3 at the point p let \omega_{ij}(v )=...

Hi all, I've been trying to understand the vibration of a cantilever beam subjected to a forcing function using Lagrange's equation, but have got stuck at the virtual work part. I would appreciate your inputs here. Using the assumed modes method, the transverse deformation is written as...

Homework Statement The following is Problem 1-13 on page 23 from Electrical Engineering Fundamentals, 2nd ed., by Vincent del Toro: "In the configuration shown in Fig. P1-13 the coil has 100 turns and is attached to the rotating member which revolves at 25 \frac{rev}{s}. The magnetic...

I am currently majoring in Electrical Engineering with a deep interest in quantum computing and quantum cryptography, the former being my greater passion. I'm certain that most, if not all, of those working in the field of quantum computing have at least a PhD in Physics. The same goes for...

[b]1. consider this wave function ψ(x)=(√(30/L^5))(L-x) if 0≤x≤L and 0 else [b]2. Compute the expectation value of the momentum. Compute the expectation value of the kinetic energy. Compute Δ p⋅Δ x...

Hi, I found this great free online class about Quantum Computing on coursera.org. The class is called "Quantum Mechanics and Quantum Computation" taught by Umesh Vazirani. - https://www.coursera.org/course/qcomp - *Umesh Vazirani is the Strauch Distinguished Professor of Electrical...

Homework Statement Suppose T is an equilateral triangle on the sphere of radius R = 1. Let \alpha denote the angle at any of the three vertices’s of the triangle. (Recall that 3\alpha > n.) Use the result of the last problem on the previous homework and the inclusion - exclusion principle...

Hello, first off, I'm not sure if i have placed this question under the correct forum, so i apologise for that. Secondly, i don't really know what quantum computing is, I'm basically guessing... To give you an idea of what my understanding of certain ideas might be, I start my...

Homework Statement L is the langrangian \dot{q} is the velocity with time derivativeHomework Equations \frac{\partial L}{\partial \dot{q}} = -M \frac{1}{2} \frac{1}{\sqrt{1- \dot{q} \cdot \dot{q}}} \frac{\partial}{\partial q_i} (-\dot{q} \cdot \dot{q}) The Attempt at a Solution A few...

Homework Statement A vector is given by R = 2.00 i + 1.70 j + 2.81 k. (a) Find the magnitudes of the x, y, and z components. x = 2 y = 1.70 z = 2.81 (b) Find the magnitude of R. 3.85 (c) Find the angle between R and the x axis. ...

Hey guys, I´m really interested in Quantum Computers and i´d love to work on them. I´ll have to decide my carreer soon, and i wanted to know what should i study, either Physics or Computer Science? I know that eventually I´ll have to study both...but what makes more sense to you guys?. Thanks!

Hi everybody, I am currently a final year undergraduate student studying Electronic Engineering with my focus being Silicon Photonics. On exploring the advanced topics, I came across quantum computing and I have great interest in knowing more about it. Searching the web I found that some...

Hello, I'm wondering if there are any tricks to quickly determine the parity of the weight of a binary number, i.e., whether it's even or odd. I'm not interested at all in the actual weight of the number, but in the parity of it. I know that if say x = a XOR b, then x has odd weight iff...

This question came up in conversation the other day and I was wondering if anyone could quantify this. How far back in time must I go before I find a desktop computer that is only as powerful as my Nexus S smartphone? Would that be a Pentium III, for example? I understand that the answer...

I've posted a bunch of analysis questions as of late. I'm going to change things up a little bit and ask something that involves manifold theory. Here's this week's problem: ----- Problem: (i) Let $\omega$ be a 1-form. Use the structure equations \[\begin{aligned}d\theta^1 &=...

Hello, I'm trying to calculate Fisher information (and eventually the Cramer-Rao lower bound) for this particular pdf with Mathematica: \text{pte}[t,\Theta ] = \frac{P_{\text{ec}}}{\tau _d-\tau _r}\left[e^{\frac{-(t-\Theta )}{\tau _d}}-e^{\frac{-(t-\Theta )}{\tau _r}}\right]...