Recent content by visharad

Derive the following expressions for ux, uy and uz: ux(t) = ux(0) cos(wo t) + uy(0) sin(wo t) uy(t) = - ux(0) sin(wo t) + uy(0) cos(wo t) uz(t) = uz(0) wo is angular frequency. wo = g Bo Homework Equations wo of this precession is proportional to Bo u and J have the same orientation: u = g J...

He has studied the following:- * vectors in Euclidean space * vector analysis * analytic geometry of three dimensions * curves in space * partial derivatives * optimization techniques * multiple integrals * vector fields * Green's theorem * Divergence...

Than you. I am looking for some topics in differential equations. The research paper has to be submitted by only those students who accelerated their Maths course. This student accelerated and took differential equations. So I think the colleges expect the paper to be related to that.

There is a student in US. He has completed 4 hours of high school and is applying for college. As part of the application procedure, he has to submit a research paper in Mathematics. He is a very good student. He accelerated math and enrolled for Differential Equation, while still being in...

Please see if this is correct c) t3 = time at which observer B sees the proton fly by t4 = time at which observer B sees the photon fly by t3 = t1 + 10^21/(1-ϵ)c t3 = 3.33 * 10^12/(1-ϵ) t3 = 3.33 * 10^12[1 + 1/(1-ϵ) - 1] t3 = 3.33 * 10^12[1 + ϵ/(1-ϵ)] Since ϵ << 1, therefore using the...

For part c, is it possible to express the answers as combination of a large number and a small number? I want to express t3 and t4 in such a way that it is easy to see the difference between them.

Homework Statement a) What is the speed of proton that has relativistic γ factor of 10^10? Write as (1-ε)c b) A proton with γ=10^10 is chased by a photon across a galaxy. Observer A at one end of the galaxy (xA=0) sees the proton at t1=0 and the photon at t2 = 1.33 x 10^-8 s. According to...

Homework Statement A spaceship, at rest in a certain reference frame S, is given a speed increment of 0.50c. Relative to its new rest frame, it is then given a further 0.50c increment. This process is continued until its speed with respect to its original frame S exceeds 0.999c. How many...

For #2, can I give example of netrin molecules because they can act as both attractor as well as repeller of axons?

These are not homework questions. I saw these and some other questions mentioned as discussion in a document. I could find answer to others. I need just 3 or 4 sentences simple answers to these so that I can get a head-start. 1. Compare at least two different examples where concentration...

Snapshot is to be drawn at t = 0.5 vy(t) = 0 at t = 0.5 So can we say that the snapshot graph at t = 0.5 will be a single straight line coinciding with x axis?

I realized the graphs will not be sinusoidal. They will have straight lines. I have made history graph at x = 0 I calculated v = 52.7 m/s How to draw snapshot graph at t = 0.5 s and history graph at x = 10 m ?

Homework Statement A string with mass density u = 9.00 g/m extends from zero to infinity along the x-axis. It is under tension T = 25 N, and is driven by a mechanism at x = 0. The velocity of the drive mechanism depends on time as: vy(t) = 0 (if t = 0) 10.0 cm/s (if 0 < t ≤ 0.1 s)...

Problem - Given the following table x y 15 50 26 46 32 44 48 43 57 40 a) Find the sample mean b) Find the covarince matrix c) Perform principal component analysis and find a size index which explains the greatest variation. My attempt a) n = 5 xbar = Sum(x)/n = 35.6 ybar =...

Is this correct for part a? If r + s = n, then <x^r, x^s> = ∫_0^1 x^n dx = x^(n+1)/(n+1) (0, 1) = 1^(n+1)/(n+1) - 0^(n+1)/(n+1) = 1/(n+1) Let the orthogonal basis = {f1, f2, f3} Put f1 = 1 f2 = t^2- (<t^2,t>)/(<t,t>)*t = t^2- (1/4)/(1/3)*t = t^2 - 3t/4 f3 = t^3- (<t^3,t>)/(<t,t>)*t -...