Condition Definition and 587 Threads

Hi, this question has been bugging me for weeks and any help would be greatly appreciated. In lectures we derived a general expression for the potential distribution across the xy half plane (y>0) in terms of a known potential distribution along the boundary defined by the x-axis where the...

Hi, I was wondering if anyone could clarify some things for me here. The problem tells me to solve the given DE subject to the indicated initial condition. In this case, the initial condition is y(1) = 3 Here is the equation. http://album6.snapandshare.com/3936/45466/852805.jpg...

Hello, I just have one question that's been bothering me. When I reduce a higher ODE to a First ODE, and if I prove that First ODE satisfies the Lipschitz condition, does that mean that the higher ODE has a unique solution (thanks to some other theorem)? All clarifications are appreciated...

THe book says, state a necessary and sufficent condition for the floor of a real number to equal that number. I looked up what that ment in chapter 1 and it said the following: r is a necessary and sufficent condition for s means: "r if, and only if, s" So I scanned through this chapter and i...

I need to prove that the function F is Lipschitz, using the \| \cdot \|_{1} norm. that is, for t \in \mathbb{R} and y, z \in Y(t) \in \mathbb{R}^{2} I must show that \|F(t, y) - F(t, z)\|_{1} < k|y-z| F(t, Y(t)) is given as F(t, Y(t)) = \left( \begin{array}{cc} y' \\...

ello ello! I think i did this right but not sure! The directions are: Determine whether the statement is true or false. Prove the statement directly from the definitions or give a counter exmaple if it is false. A sufficient condition for an integer to be divisble by 8 is hat it be...

Hello, I had this problem to do for statistics. I am pretty sure I did the first two parts correct. The third, I am not so sure about. I'd appreciate and guidance. A player of a video game is confronted with a series of four opponents and an 80% probability of defeating each opponent. Assume...

would bi-polar disorder be considered a substantial health condition? or does it truly depend on the patient? also, would chronic anxiety also be considered a substantial health condition? tyvm -UnknownPiratte

I play a lot of football/soccer but have been struggling since christmas with injuries. Its the end of season and i want to get myself in peek condition for playing football in september so i would like some advise on the best foods to eat and what is the best kind of exercise to do to get into...

Hi there. I've recently come across the Implicit Mapping Theorm in my studies and noticed that there is a condition that the rank of the image must be the maximum possible. I'm not directly seeing why this condition is needed, so I was wondering if anyone could provide me with an example of why...

[Discrete Math] f: A-->B; surjective? find necessary & sufficient condition. Ok in practice for my discrete exam, I have the following problem. Let f : A->B be a function. a) Show that if f is surjective, then whenever g o f = h o f holds for the functions g,h : B -> C, then g =h. b)...

Hello, I am working on an integral-equation problem in the field of electromagnetics, which gives me a very large linear system that needs to be solved. I use a fairly recent method for this, namely the fast multipole method, which allows me to calculate a matrix-vector product in a fast way...

lets say I had a 25th anniversary box set of LOTR in mint condition, would they be worth anything?

I got some problem about using boundary conditions,especially in the fifth pics,those sentences marked by red.I really don't know how to use Js=An x H,since I don't know the fields well enough.Some questions of mine are illustrated in the sixth pic by different colors. I'm sorry the pics are...

Hello everyone, I'm having troubles figuring out this problem. The directions say: It is easy to check that for any value of c, the function y = ce^{-2x} + e^{-x} is solution of equation y' + 2y = e^{-x}. Find the value of c for which the solution satisfies the initial condition y(3)= 8...

Hi, I just started playing with higher order ODEs and I'm stuck in one particular step. Here it is: y^{''} + y = \frac{1}{\cos x} 1. step: I find fundamental solution system, which in this case is [\cos x, \sin x] So general solution looks like this: y(x) = \alpha\cos x + \beta \sin x...

Can anyone tells me what is exactly "Zero initial condition" in time-invariant passive linear system? thanks a lot.

here's the question as written: A person is attempting to pull a large stone wheel up a step. The wheel has a mass of 300kg. Assuming the force the person applies is horizontal and at the certer of gravity, what imust the force be to start the wheel rolling over the curb? alright, so i...

I try to to some first principle calculation in the environment of free electron gas. For intance, the total energy of one atom or a cluster in the free electron gas. What kind of calculation program could I choose ? I only know that VASP provide an opion to create charged background...

Hi, I have just read that one of the restrictions on T^{\mu\nu} is that: T^{\mu\nu}u^au^b > 0 where u is a timelike vector. Can someone please tell me WHAT u actually is (other than saying it is a timelike vector). What sort of vector is it, what is the context? i.e Once...

For geostationary satellites moving in circular orbits in the equatorial plane, there is no distinction between the true anomaly f, the mean anomaly M, and the eccentric anomaly E. For geostationary satellites, the angles \theta=Greenwich sidereal time, \Omega = longitude of ascending note...

There's this question ngyah (Liboff 5.33) that says "We consider a particle in an infinite 1-dimensional well. The particle is described by an arbitrary wave function \psi(x). (a) For this particle, show that <E> \geq E_1. (b) What is the condition on \psi(x) such that <E> = E_1?" My...

Dear folks, Please help me out. I store my purified protein samples at -20C and they are still at the liquid form (a few are frozen) at this temperature! :cry: I used Trizol kit to purify them and dissolved them in a solution of 9M urea, 4% CHAPS and 30mM Tris/HCl pH 8.5 buffer. They had...

The past must never be forgiven, or forgotton. Years gone by are not simply a blurb in a textbook but a living record that repeats again and again in the present among the swarming multitudes who all too easily ignore or forget the lessons of history, doomed to repeat them all over tomorrow and...

True of false. A homogeneous system of r linear equations in n unknowns is inconsistent if the number of equations, n exceeds the number of unknowns, r. The questions seems to be implying that n=r, in which case the system is consistent. Is this true? Thanks. James

Hello guys. I've been looking at uniqueness requirements for the differential equation: \frac{dy}{dx}=f(x,y);\qquad y(a)=b And the extension of this to higher-ordered equations. I'd like to understand the sufficient and necessary conditions for uniqueness. Most proofs require that...

What is null energy condition? I'm not sure whether this is the right forum to post but I come across this word when reading article about wormholes.

so how many other people on this board have been diagnosed with such condition? (blank stare for 5 minutes) ok. please reply

What do I need in order to use 110V 50Hz air condition to a place which has 220v 60Hz electrical system? Is that possible? If yes How? Please help me Thank you Sheperd

Hi ! I'm trying to figure out what kind of initial conditions I should put in my program in order to have stable trajectories. Just to remind, The restricted problem of three bodies suppose that you've got two heavy masses in circular orbit around their common center of mass, and a...

What is "Condition Postulates" ? I'd be happy if someone explains.. Thanks.

Does somebody know an example of a differentiable manifold which is a group but NOT a Lie group? So the additional condition: the group operations multiplication and inversion are analytic maps, is not satisfied.

Hi, I need help solving this problem. The question asks me to find all prime numbers p such that p^2 = n^3 + 1 for some integer n.

Does man have a certain ability or characteristic that defines him? Perhaps a characteristic that, if taken away, would also take away our humanity?

Could someone please tell me what condition on n is necessary and sufficient such that Z/nZ contains a nilpotent element? I can't seem to find this in any of my texts. By the way, I accidently posted this same question in the homework help section first. Sorry to anyone who's wondering...

Is there a condition where people laugh at inappropriate times? My gf is mad at me because I tend to let out my stress with laughs and chuckles and she gets angry because she thinks I am laughing at her, which is not the case. Any ideas?

I was recently asked to explain the eigenvalue condition, but I'm sure exactly which condition the inquirer was asking about. Are any of you nerds familiar with the Eigenvalue Condition? If so, please enlighten me. eNtRopY