Form Definition and 1000 Threads

Hello everybody! I am writing this topi because i got stuck in this!I have a cylindrical magnet with 1,5mm Radius,2mm thickness and Br 1,38 Tesla! I want to calculate the magnetic field in a distance s = [0 0 0.01](in meters) ,that means in 1cm distance while my magnet's position is α = [0 0...

Homework Statement For a Hamiltonian of the form H=\sum_{j=1}^m a_j p_j^2 + \sum_{j=1}^n b_j q_j^2 + H'(q_{n+1}, \dots, q_{sN}, p_{m+1}, \dots, p_{sN}) (for a system with n coordinates and m momenta, s degrees of freedom and N particles), show that \overline{a_jp_j^2}=\frac{kT}{2}, for...

Like the title says. I"m guessing tens of thousands of years?

Homework Statement Which of the following differential equations are linear? Put the linear differential equations in proper linear form a) t2dy/dt -et = ty b) dy/dt + ytan(t) -ety(2)=0 Essentially, I'm struggling with basic algebra. I've had no luck moving the dependent variable, y...

Hey all I am trying to generate a graph of a sinusoidally oscillation against time. However, the time itself is passing sinusodally, i.e time flows faster at some points and slower at others. I'm doing this as I need test data for a program I've written to decode real world data I'm...

Hi, Example: Maxwell Relation (thermoD)... (\frac{∂μ}{∂T})_{p,n} = - (\frac{∂S}{∂n})_{T,p} what does it mean having those subscript variables outside of the brackets. thanks

I've got a form to fill in for work experience over the summer and just wanted to ask a couple of really stupid questions (I haven't really filled in any proper serious application forms before) The form is available online as a word doc so would it be ok to fill it out on screen and print it...

Can dark matter form planets and dark matter life?

I haven't taken math in years and am having trouble understanding how to find simplest radical form of a 4√(x14). I said x4√x10. I realize I have 3 x4ths and x2 but I'm not sure if I can pull out more xs. What are the rules for this? Ideas, insight?

My question is: Is there any gain in intuitive mathematical understanding of degrees of freedom from learning their expression using the 'quadratic form' and matrix algebra techniques? This sort of explanation is at least understandable and self-consistent, if not rigorous mathematically...

\sum_{i=1}^{n} |(y_i-\theta)|=n\theta where theta is a fixed constant and y_i is a discrete random variable. does anyone know how to rewrite in close form?? also, everytime i use latex it starts a new line. how can i fix this so i can type directly with my sentances? thanks

Find the standard form of $7x^2+48xy-7y^2+20x-110y-50=0$ and find euclidean transformation taking it to standard form. Answer: matrix of coefficents has eigenvalues + or -25 with eigenvectors (4,3) and (3,-4) respectively. set x'=1/5(4x+3y+a) and y'=1/5(3x-4+b). then comparing the terms of...

This a general, layman question. Computer processors work with binary digits, 1 and 0. Of course, computer processors can be seen as microscopic forms of Babbage's analytic engine. So in reality, in the circuits of a microprocessor, what physical form do binary digits take?

I am having trouble with algebra... I have to write an equation in standard form containing the given point and having the give slope for (2,1);m=1 I have no clue what I am doing and am not able to find anything online. Please help

There must be some lapse in my understanding of this. I understand that you can have an eigenstate of a system with an angular momentum magnitude value and a value for one component of the angular momentum (z). Using the lowering and raising operators we can create states (or deduce that states...

Dear Physics Forums denizens, I have a tricky problem that I hope one of you can help me with. (It's for a personal project, nothing to do with school.) I'm looking for a closed-form expression for the sum of the first through m-th terms of a combinatorial number. For those of you...

I've encountered a problem in learning about the curl of a vector field. (My learning material is the "Div, Grad, Curl and all that" from H.M. Shey.) Introduction to problem: The curl of a field F is defined as: ∇×F = i (∂Fz/∂y - ∂Fy/∂z) + j(∂Fx/∂z - ∂Fx/∂x) + k(∂Fy/∂x - ∂Fx/∂y)...

A= i +j+k A=(1,1,1) can I write in vertical as shown? is there any difference between them? Thank you

Hello. The vertex form is y= a(x-h)^2+k, in general. Could it also be defined as y= a(x+h)^2+k? I am wondering about that minus sign. I see no particular use of it. Is it there because of tradition or am i missing something?

Find the Cartesian Form of r(1+sinθ)=a I understand that: x=rcosθ y=rsinθ and r2=x2+y2I can get quite far to the point I end up with x2=a2-2ay I'm struggling to eliminate "a"...

For example according to wikipedia and this question bucket sort has the expected time complexity O(n+k). How does it make sense to use big O notation with arithmetic in it? Is it because it is not known which of n or k will determine the upper bound but once it is known (i.e. the algorithm is...

Hi everybody! I've hit a blank with regards to this 1 equation on a old exam paper - think I've overloaded myself a bit and just feel a bit like a airhead at the moment! I understand the actual method and getting to the answer but it starts off with a equation which you then need to get to...

what is the "form" of the following recursion relation? Hi all, I have a recursion relation I am trying to solve: {X_n} = \frac{1}{{1 - {\alpha _0} \cdot {X_{n - 1}}}} \to {X_n} = ? What is the "mathematical form" of this recursion-relation? E.g., I know what a homogeneous, linear...

Getting ready for linear algebra exam. One question that I got right but not exactly sure why is this: --- Consider the quadratic form Q(x,y,z) = 3x^2 + 3z^2 + 4xy + 4xy + 8xz a) Decide if Q is positive definite, indefinite, etc. b) What point on the surface Q = 1 lies closest to...

$\displaystyle\int_0^\frac{1}{2}\frac{4}{1+4t^2}dt$ my first step with this was $\displaystyle4\int_0^\frac{1}{2}\frac{1}{1+4t^2}dt$ thot this could be a log rule. but doesn't seem to fit into that the answer to this is $\frac{\pi}{2}$

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...

z= (10-j+elogj)2 I tried expanding but it just made it more complicated. help please!

Most General Form of the "Rate-Equation Approximation" In quantum optics or laser physics, while solving an ordinary differential equation (ODE) using the integrating factor, the so-called Rate-Equation Approximation is used. I have come across different sources implementing it differently. For...

I was busy doodling and basically ended up constructing this differential equation: p'(t)=c(t)p(t)-c(t-T)p(t-T) Obviously I've dealt with eq's like p'(t)=c(t)p(t) but I'm getting stuck because of the second term. Does this differential equation even have a closed form? Thanks.

I understand that the operators have to commute, and therefore that the measurement of one has no bearing on the measurement of the other. I know that H, L^2, and L_z form a CSCO for the H atom. Basically, I conceptually understand CSCO. Often though, in my class, we will be working on a...

I've memorized the following: pH<pka, then acidic form pH>pka, then basic form And I'm guessing that pH=pka means neutral. However, my instincts tell me it would be the opposite. Take NH3, ammonia, with a pKa of around 40. And then there's NH2-, which from a google search, has an...

Homework Statement I have a transfer function as part of a circuit analysis question which I obtained as: -{\frac {{\it R2}}{ \left( {\it sC1}\,{\it R1}+1 \right) \left( {\it R2}\,{\it sC2}+1 \right) }} Which needs to be turned into: The Attempt at a Solution I have...

Hello. Does anybody happen to know a closed form of this infinitely nested radical? http://imageshack.us/a/img268/6544/radicals.jpg By any chance, maybe you even saw it somewhere? I haven't had too much success so far. At the moment I am so desperate that I'm even willing to try and...

Homework Statement find the slope-intercept form for the line satisfying the following conditions x intercept 2, y intercept 2/3 Please let me know if I solved this correctly. Thankyou. Homework Equations The Attempt at a Solution 2, 0 0,2/3 (2/3 -0) / (0 - 2) 2/3 / -2/1 2/3 * -1/2...

A second order system has the following standart form; http://controls-design.com/mathtex/mathtex.cgi?H%28s%29%3DK%5Cfrac%7B%5Comega_n%5E2%7D%7Bs%5E2%2B2%5Czeta%5Comega_n%20s%2B%5Comega_n%5E2%7D%20%5Cmbox%7B%20for%20%7D%200%20%5Cle%20%5Czeta%20%5Cle%201 However, sometimes the system I...

"In the minutes following the explosion, protons and neutrons collided in nuclear fusion reactions to form hydrogen and helium." I found this bit of text in an article...and it got me thinking. What were the conditions the first atoms formed? Further more..what were the conditions that...

Homework Statement \int_0^2 \int_0^\sqrt{2x-x^2} xy,dy,dx I know the answer, but how does the 2 in the outer integral become pi/2?? I'm fine with everything else, I just can't get this...

Doubts regarding 3 question form motion of a particle! :) Homework Statement Doubts related to 3 problems..I have uploaded the question up in the attachment. Homework Equations The Attempt at a Solution for question one,the body doesn't come to rest,s is the total dist at any...

Let $G$ be a finite group of order $4n+2$ for some integer $n$. Let $g_1, g_2 \in G$ be such that $o(g_1)\equiv o(g_2) \equiv 1 \, (\mbox{mod} 2)$. Show that $o(g_1g_2)$ is also odd. I found a solution to this recently but I think that solution uses a very indirect approach. Not saying that that...

25x^2-10x-200y-119=0 Should i divide both sides by 25 and then put y and constant to right side of equation and then complete the square?

I thought it would be obvious, but I can't find a series representation of the Laplace transform. I'm looking for something analogous to the Fourier series and how it can be used to derive the Fourier transform. I though it would simply be f(x) = \sum_{s=-\infty}^{\infty}{C_{s} e^{sx}} , but...

Homework Statement Homework Equations The Attempt at a Solution I'm fine with the second part (n = 6). But the first part is eluding me, I've been told it's quite simple. I feel like it's something to do with the fact that for each prime factor of C_n, p1, p2, p3, we have...

Homework Statement I'm given a 4x5 matrix with one missing column. I'm also given the RREF form with no missing columns. Previous parts of the question made me find the row, column, and null basis for the matrix. Now it's asking: d) Find the missing column. (Hint: Are the columns of...

\Gamma(n) = int(0 to infinity)[(x^(n-1))*e^-x]dx Show that it can also be written as: \Gamma(n) = 2int(0 to infinity)[(x^(2n-1))*e^(-x^2)]dxI have no idea how to go about this. I have tried integration by parts of each to see if anything relates, but how can you get from an exp(-x) to and...

I'm trying to express the classical gravitation Einstein-Hilbert lagrangian into some nice way, and I'm having a problem. It is well known that the Einstein-Hilbert action is the following (I don't write the constant in front of the integral, to simplify things) : S_{EH} = \int R \, \sqrt{-g}...

I am working on a homework problem: sin(6x) + cos(6x). I have to represent it in the form: k sin(x + \phi) I have the formulas to change A sin(x) + B cos(x) int k sin(x + \phi), however, I don't know how to go from sin(6x) to A sin(x). Is it just 6 sin(x)? I don't think it is, because...

Suppose there's a system with given uncertain parameters. And I would like to obtain certain Rise time, max. over shoot, settling time by adjusting those parameters. Let's say this is the second order system; T(s) = (ks + c) / (s2 + as + b) First of all; for a second order system there...

Let k\in\mathbb{N}, and q be a prime factor of F_{k}=2^{2^{k}}+1. Deduce that gcd(q-1,2^{k+1})=2^{k+1}. q|F_{k} \Rightarrow mq = 2^{2^{k}}+1 for some m\in\mathbb{N} 2^{2^{k}}=q-1+(m-1)q \Rightarrow 2^{2^{k}}=q-1 (mod q) 2^{k+1}|2^{2^{k}} since k+1\leq 2^{k}, \forall k\in...

Homework Statement All variables are given in the pictures. Homework Equations Nothing more than simple force equations. The Attempt at a Solution I attempted it on my own, but I don't know if the answers are right.

Homework Statement An impedance 8 + j7 Ω is connected in parallel with another impedance of 5 + j6 Ω. this circuit is then connected in series with another impedance, comprising a resistance of 5 Ω in series with a capacitive reactance of 7 Ω. The complete circuit is then connected to 150...