Square Definition and 1000 Threads

I am wondering about the relation betwen RRE forms and identity matrices. Consider the reduced row echelon form of any square matrix. Must this reduced row echelon form of the matrix necessarily be an identity matrix? I would suppose yes, but can this fact be proven? Could anyone provide an...

Hi, I just started self studying solid state and I'm having trouble figuring out what the hamiltonian for a square lattice would be when considering the Heisenberg interaction. I reformulated the dot product into 1/2( Si+Si+δ+ +Si+δ+S-- ) + SizSi+δz and use Siz = S-ai+ai Si+ =...

Homework Statement An electron is trapped in an infinitely deep potential well 0.300nm in width. (a) If the electron is in its ground state, what is the probability of finding it within 0.100nm of the left-hand wall? (b) Repeat (a) for an electron in the 99th excited state (n=100). (c) Are...

Homework Statement Quantum mechanics is absolutely confusing me. A proton is confined in an infinite square well of length 10-5nm. Calculate the wavelength and energy associated with the photon that is emitted when the proton undergoes a transition from the first excited state (n=2) to the...

Treatment originally used to discard inverse square law as solution to Olbers' paradox was not set up correctly. If we include sensor (camera) in the treatment and model light as photons the result describes what we actually see.

Homework Statement I know you could prove this by stating every integer is either 3m, 3m+1 or 3m+2. However I am trying to prove this just using either even numbers or odd numbers. so for example, when I try: (2x+1)^2 = 4x^2 + 4x + 1 - expand = 3x^2 + x^2 + 3x + x + 1 - group like...

Homework Statement I know how to prove that square root of 2 is irrational using the well ordering principle but what I'm wondering is, how can we use the well ordering principle to prove this when the square root of two isn't even a subset of the natural numbers? Doesn't the well ordering...

Find the equations of the sides of square inscribed in the circle $3(x^2+y^2)=4$, one of whose sides is parallel to the line $x-y=7$.

Does inverse square law apply to light in vacuum?

For example, if the moment generating function is (1-2t)^(-6), then the degree of freedom r=3, right? The question is asking me to find P(X< 5.23)...I want to use the chi-square table, but I'm not sure how... This is what the question states: If (1-2t)^{-6}, t<1/2, is the mgf of the...

It can't be x, because you get a positive number when x is negative.

Homework Statement I'm solving a problem where a conducting pipe with a square cross section is being analyzed to find the potential everywhere in space. The pipe lays along the z-axis, so we're really concerned with the x-y plane. My issue isn't so much the general solution via separation...

Hi! I should probably start off by saying that I did attempt to search for this, but I wasn't able to find a thread that had a similar question. I'm driving an RLC network (in effect) with a square wave to saturate a ferrite core. The image is pretty close to what I'm trying to achieve. I...

Homework Statement The condition that x^4+ax^3+bx^2+cx+d is a perfect square, is Homework Equations The Attempt at a Solution If the above polynomial will be a perfect square then it can be represented as (x-\alpha)^2(x-\beta)^2 where α and β are the roots of it.This means that two...

Homework Statement The Xolo is the national dog of Mexico. The striking characteristic of this dog is that it has no hair. Xolos carry a mutation in Chromosome 17 that, when homozygous, is lethal. If two hairless Xolos were mated, what fraction of their surviving offspring would be...

Homework Statement An electron is trapped in an infinite square-well potential of width 0.5 nm. If the electron is initially in the n=4 state, what are the various photon energies that can be emitted as the electron jumps to the ground state?Homework Equations ΔE=13.6(1/nf2-1/ni2)...

Homework Statement A flat, square surface with side length 3.00cm is in the xy-plane at z=0 . Calculate the magnitude of the flux through this surface produced by a magnetic field B=(0.150T)i+(0.350T)j-(0.500T)k What I'am doing is I know that the magnetic flux= BAcos(theta) So I...

Homework Statement Already defined that for a 1D well with one finite wall the eigenvalue solutions are given by k cot(kl) = -α Show the eigenvalue solutions to well with both walls finite is given by tan(kl) = 2αk / (k^2 - α^2) Well is width L (goes from 0 to L) with height V_0...

Ok, so if I have a square that is exactly 10 inches by 10 inches, then the surface area is 100 square inches exactly. But if I roll up that square into a tube and calculate its surface area, it's 2∏r times the length. And since the calculation involves ∏, that means I won't get an exact answer...

First of all, I'm 13 so I might not comprehend the complex vocabulary or symbols others might use. Second, I just joined! Okay, let's get to it. I think I know what the inverse square law is: if a number goes up by x, then the other number is the square of x but in the negative side...

What is the statement of the mean square convergence of Fourier series?

Six points have to be the maximum distance from each other within or on the sides of the square, what is the distance?

Hi. I'm reading "Quantum Field Theory - Mandl and Shaw" about how to derive the cross-section and in the derivation the authors make the following argument "For large values of T and V, we can then take \delta_{TV}(\sum p_f' - \sum p_i) = (2\pi)^4 \delta^{(4)}(\sum p'_f - \sum p_i) and...

Hi everyone For a pre-lab, I am asked to draw a square wave symmetric around zero volts. I am not sure what this graph looks like, can someone give me an example? Thank You

If you could see the image attached, I think it looks better than me typing it here. Didn't know how to embed the image. I would just like to know how it becomes 2v to √2v. EDIT: Ignore. Figured it out. Don't know why I was even baffled. :/

Provided is a function f(x)=\sum_{j=1}^n ||x-x_j||, for x being a two dimensional vector, where ||.|| denotes the Euclidean distance in 2D space. How could one obtain a derivative of such a function?

Hi. I just wondered why we use a 1/\sqrt{V} in the Fourier expansion of the vector potential. A regular 3 dimensional Fourier expansion is just f(\vec r) = \sum_{\vec k} c_\vec{k} e^{i \vec k \cdot \vec r} but as the solution to the equation (\frac{\partial ^2}{\partial t^2} -...

I have to find the limit as x→∞ of √(x2+x)-xI can't rearrange this into a form where I can put infinity into the expression and get a meaningful answer. I've tried taking out square roots to get √x( √(x+1)-√x ) but if I put infinity into this I just get ∞(∞-∞) which is meaningless. Now I know...

Hello PF! Homework Statement The graph of the function y = 2x2 + x +1 is stretched vertically about the x-axis by a factor of 2, stretched horizontally about the y-axis by a factor of 1/3 and translated 2 units right and 4 units down. Write the equation of the transformed function Homework...

Homework Statement ∫(e^x)/(√4-e^(2x)) Homework Equations arcsin of x The Attempt at a Solution I know how the problem should be solved and have an idea of what the final answer will be. My only question is, how would I take out the four from the square root, in order to make it...

Homework Statement Find dy/dx when y=\sqrt{ln x} Homework Equations d/dx of ln x is equal to 1/x times d/dx of x. The Attempt at a Solution I tried to raise the ln x to the 1/2 power instead of keeping it under a square root sign, but I had no luck. I'm struggling with Calculus. I...

Homework Statement 11. What kind of frequency components can be observed in the output if a linear system is excited by a symmetric square wave? 12. What kind of frequency components can be observed in the output if a non-linear system is excited by a symmetric square wave? Homework...

I'm trying to figure out what these do in certain implementations. I can't seem to find the answer in the documentation. http://www.mathworks.com/matlabcentral/fileexchange/30580-binary-amplitude-shift-keying[1] for ii = 1:1:length(bit_stream) ASK_signal = [ASK_signal...

How do you solve ((grad(f(x,y,z))))^2?

Homework Statement Four positive charges are located on the corners of a square of side-length a. The charges are A=4, B=2, C=8 4q----a----q |------------| a-----------a |------------| 2q----a----8q Determine the magnitude and direction of the electric field experienced by charge q in terms of...

Its been a while since I have taken any kind of math class, I am a bit rusty in general algebra. Can someone explain how I would multiply an equation like this (2x-1)sqrtof x-3x is it just like normal distribution? Would I just put the answer underneath the square root? sqrt2x^2-6x^2-x+3x?

Homework Statement I'm working on problem 2.22 from Griffith's Intro. to Quantum Mechanics (a free particle problem). I am stuck on the final integral from part b. Part a of the problem is normalizing: A*e-a*x2 which I did. Part b wants the general, time-dependent wave function. Homework...

Hi Here is the statement of the problem from Ralph Grimaldi's discrete math book. a) In how many ways can eight people, denoted A,B,...,H be seated about the square table shown in the figure (see attachment), where Figs 1.6 (a) and 1.6 (b) are considered the same but are distinct from Fig 1.6...

Hi guys, I'm really new to calculus and limits and have been trying to have a good crack at the following question. Sorry if I haven't written the problem out in the most acceptable format. lim (9-3√x)/(9-x) x→9 Substituting 9 gives you 0/0 and indeterminate. I tried multiplying the...

Homework Statement hi every one I need to construct a C++ square root program that uses approximate values I've done the first part of the work; ********************************************************************************************************************* prompt the user for two...

How many square centimeters are in 3.39ft^2? (use cm^2)

Homework Statement I have the function H^2 + 12756H and I want to find the domain and range of it's square root algebraically. Homework EquationsThe Attempt at a Solution I understand y= √(H^2 + 12756H) is undefined if H^2 + 12756H < 0, however I don't get how to find its domain and range...

Hi. I'm currently reading about (negative frequency) solutions to the Dirac equations which can be written on the form \Psi = ( \sqrt{p \cdot \sigma} \chi, \sqrt{p \cdot \bar{\sigma}} \chi)^T e^{-i p \cdot x}For any two component spinor Chi. But the dot product with the four vector p and the...

Finding Limit As "X" Approaches Infinite Of Square Root Function Homework Statement Homework Equations None that I am aware of. The Attempt at a Solution What I tried to do to solve this problem was first, multiplying the function by its conjugate, and then simplifying the...

Homework Statement The image has the question I don't quite understand! Homework Equations The Attempt at a Solution I understand how to get √(√2 - x) but I don't get how they end up with: 4√2 - x ?

Homework Statement Prove that for any integer n n^2+n+1, can never be a square number. Homework Equations None. The Attempt at a Solution We could put the equation to a^2, (where a^2 is a square number) and solve for n and show that n can not be an integer. I tried quadratic...

Hoping someone can push me in the right direction with this one. Plume snookered. It's to simplify: 2√3(3+√3) Guessing first calculate (a^2 - b^2*c) in the square, though the 2 is throwing this an I'm not sure how the answer is 6√3 + 6, an not 18√3 ?

I have the answer to this problem but I am stumped as how to get there. Here it is h(x)=e^x/5/sqrt2x^2-10x+17, I'm getting stuck moving the square root up. Help

Homework Statement I think it would be better if I put the picture. Additional questions: Find the direction of the electric field. Find the magnitude of electric field due at C due to charges A, B, and D. Homework Equations Pythagorean Theorem. E = kq/r^2 The Attempt at a Solution For...

Homework Statement Argue that (17^4)*(5^10)*(3^5) is not the square of an integer. Homework Equations N/A? The Attempt at a Solution Do I break these up, and show that each is not a square? I'm not sure if that would be correct, but sqrt(17^4)=289 * sqrt(5^10)=3125 *...