Expression Definition and 999 Threads

Novice questions: 1. All complimentarities seems to be an expression of HUP... (for example from some of the quantum eraser experiments such as DCQE) Is that correct? I.e. Complimentarity is NOT a phenomena/mystery that is seperate/different from HUP 2. Can we derive/conclude...

Hi, Suppose I have \lim_{r\to 0} \left\{\int_0^{\pi} \frac{f(r,t)}{r^2}dt - \int_0^{\pi} \frac{g(r,t)}{r} dt\right\} and both integrals tend to infinity. So I combine them: \lim_{r\to 0} \int_0^{\pi} \frac{f(r,t)-r g(r,t)}{r^2} dt now at this point, the numerator in the...

Quantum -- Find the formal expression of the coefficient cn(t=o) Hello everyone, I'm really stuck on the first question of an exercise, so I can't start! :cry: Homework Statement ψ(x,t) a wave function normalized and solution of Shrodinger equation for a given potential. I the...

Homework Statement Draw the logic diagram for the following Boolean expression. The diagram should correspond exactly to the equation. Assume the complements of the inputs are not available. B(A'C'+AC) + D'(A+B'C) Homework Equations The Attempt at a Solution I can't find any...

Homework Statement Write the Sackur-Tetrode expression for the entropy of a monatomic ideal gas as a function of pressure, temperature, and number, S(N,T,P). Homework Equations S = Nk[ln(V/N(4πmU/3Nh2)3/2) + 5/2] PV = NkT U = (f/2)NkT The Attempt at a Solution I found that...

Homework Statement Formulate an expression that gives the focal length of a corrective lens, to be used in conjunction with a fixed lens. You may assume that both lenses are on the same plane, i.e. that they are very close together. The corrective lens should allow an object at a specified...

I have checked many textbooks and papers on SUSY and it seems that none of them mentions anything about the infinitesimal susy transformation on component fields in the case N\neq 1. So I am wondering what does it looks like, say for N=2 vector multiplet? Another related question is, do we need...

Homework Statement Simplify the expression using boolean algebra postulates, laws, theorems. (\overline{\overline{x + \overline{y})(xz + \overline{y}}) + x (\overline{yz}}) The Attempt at a Solution (\overline{\overline{x + \overline{y})(xz + \overline{y}}) + x (\overline{yz}}) 1. ((x +...

Homework Statement Build the truth tables for the boolean expressions. (x + y' * z)' + (x * y * z' + (y + z)') + (y + (x * z')')' The Attempt at a Solution Given that the expression is so complex I believe that I need to simplify first then proceed to build the truth table? Work so...

Hello, Is there some way to express the following integral in terms of some simpler functions? f(x,s) = \int^{\infty}_{-\infty} dk\, e^{-ks} \text{Ai}(-k) \text{Ai}(x-k) where the parameter s \in (0,1) and the coordinate x \in (-\infty,+\infty) The best I can come up with is to...

Homework Statement Why does this expression, given in cylindrical coordinates, rapresent an electrostatic field: $${\bf E(r)}=\frac{\alpha}{z^2}{\bf u_r}-2 \frac{\alpha r}{z^3}{\bf u_z} $$ Homework Equations The Attempt at a Solution I can't understand why the expression rapresent...

Homework Statement Simplify, if possible. (6w2-w-3) + (7w2-4w+5) Homework Equations The Attempt at a Solution I attempted to factor both expressions, but they don't seem to be factorable. Is this already simplified as much as possible, or am I missing something?

Matrice c_n is a 2nxn2 matrice and is given by (\delta_{ij}+2\delta_{i,2n-j+1})_{ij} determine the expression of |c_n| progress: I have been drawing the matrice n=1,2,3 and calculate the determinant. As you see there is a pattern with the matrice and I would like to have tips how i write |c_n|...

I have the expression sin^{-1}(cosx) I'm not sure how to simplify this at all. I've never done a problem like this and it's in my textbook as a review question. A quick boot in the right direction would help

Is the statement "if you are a comedian then you are funny." equivalent to what is defined in part (a)?

How to go about solving this one? (1-i)-1+i so far i have tries using the famous Uv=ev(ln(U) im stuck where i get e-1/2ln(2)+(pi/4)-2kpi*ei(-1/2ln(2)+(pi/4)-2kpi)

Find all possible Values of: 2(-i)

Homework Statement Simplify: (sin t + cos t)2 / sin t cos t Homework Equations tan t = sin t/cos t cot t = cos t/sin t cot t = 1/tan t The Attempt at a Solution (sin t + cos t)2 / sin t cos tsin2 t + 2sin t cos t + cos2 t / sin t cos t(sin t/cos t) + 2 + (cos t/sin t) tan t + cot t + 2...

Homework Statement Simplify: [(sec x)(sec2 x) - (tan x - 1)(sec x tan x)] / sec2 x Homework Equations none The Attempt at a Solution [(sec x)(sec2 x) - (tan x - 1)(sec x tan x)] / sec2 x [(sec x)(sec2 x) - tan x (1 -1) sec x ] / sec2 x [(sec x)(sec2 x) - 0 ] /...

Homework Statement Eliminate the denominator on the RHS of the following expression sin(\alpha)-sin(\beta) = -\frac{-v(sin(\alpha) cos(\alpha) + sin(\alpha) cos(\beta)}{c-vcos(\alpha)} and from it, derive sin(\alpha)-sin(\beta) = -\frac{v}{c}(sin(\alpha)cos(\beta)+sin(\beta)cos(\alpha))...

How exactly might one go about showing that \left| \frac{1 - e^{-iy}}{-iy} \right| is bounded by 1 for y\in \mathbb R? I thought this would be easy to show using the series expansion of e^{-iy} in some way: \left| \frac{1 - e^{-iy}}{-iy} \right| = \left| 1 - \frac{iy}{2} -...

Homework Statement Find the Inverse Laplace Transform of \frac{1}{(s^{2} + 1)^{2}} Homework Equations The Attempt at a Solution I tried using partial fractions but it didn't work. It looks like a cosine transform, but I don't know what else to do. Help please :(

Homework Statement I am attempting the problem below, I might have the correct answer but would appreciate if someone could confirm this (or tell me where I'm going wrong). Consider a statement having 2 states, one at energy 0 and one at energy ε. Find an expression for the Helmholtz free...

What is the units digit of \left\lfloor \frac{10^{20000}}{10^{100}+3} \right\rfloor?

How to write something similar to the following Or is it better to write \sum_{n=k ,m=1}^{k+1}

I tried to check x²-1 = (x+1)(x--1) So I did the following: Matlab returns 0. Any suggestions? :) (Matlab beginner by the way)

Hello, I'm trying to solve this equation. (4-4cos(∏*0.16*4)) - (4-4cos(∏*0.16*3)) It seems like it should be so easy. First I start with the left hand side (∏*0.16*4). Then I take the cosine of that, and then multiply it by 4. Then I do 4 - [answer] to get a value for the full left side...

Find the value of z = \frac 1{\cos x} + \tan x given \frac 1{\cos x} - \tan x = 2. By squaring and using trigonometric identities on the given equation, one can arrive at \frac {1- \sin x}{1 + \sin x} = 4 The unknown expression z can, by squaring, be written as z^2 = \frac {1 + \sin x}{1 -...

Evaluate \tan\frac{\pi}{13}\tan\frac{2\pi}{13}\tan\frac{3 \pi}{13}\tan\frac{4\pi}{13}\tan\frac{5\pi}{13} \tan \frac{6\pi}{13}.

Homework Statement - 1/[cosx(cos(x-90))] The Attempt at a Solution = - 1/[cosx(-cos(90-x))] //so first I take the negative sign out from (x-90) to make it (90-x) = +1/[cosx(cos(90-x))] // negative sign from outside the cos and outside the entire fraction combine to...

Suppose we have $$[Q^a,Q^b]=if^c_{ab}Q^c$$ where Q's are generators of a Lie algebra associated a SU(N) group. So Q's are traceless. Also we have $$[P^a,P^b]=0$$ where P's are generators of a Lie algebra associated to an Abelian group. We have the following relation between these generators...

Homework Statement If ##\displaystyle \tan\left(\frac{\pi}{4}+\frac{y}{2}\right)=\tan^3\left( \frac{\pi}{4}+\frac {x}{2} \right)##, prove that $$\frac{\sin y}{\sin x}=\frac{3+\sin^2 x}{1+3\sin^2x}$$Homework Equations The Attempt at a Solution...

Homework Statement Find the exact value, without using a calculator. \ cos(\frac{\pi}{15}) \ cos(\frac{\pi}{45}) The Attempt at a Solution I started off using a product to sum formula- \frac{1}{2}[cos(\frac{4\pi}{45})+ \ cos(\frac{2\pi}{45})] Now I don't know where to...

Is there a way to express ##{n\choose k}{n\choose r}## in another form without n as the "top" of the binomial coefficient? I remember seeing it once but I forgot what it was.

how would you simplify this $\displaystyle \frac{1}{5}\ln|\sin5x|+\frac{1}{5}\ln|\csc5x-\cot5x|$ please explain.

Without the use of a calculator, evaluate \tan^2 20^{\circ}+\tan^2 40^{\circ}+\tan^2 80^{\circ}.

Homework Statement If ##\beta## is such that ##\sin 2\beta≠0##, then show that the expression ##\displaystyle \frac{x^2+2x\cos\alpha+1}{x^2+2x\cos\beta+1}## (x real) always lies between ##\cos^2\alpha/\cos^2\beta## and ##\sin^2\alpha/\sin^2\beta##. Homework Equations The Attempt at...

Homework Statement An electric dipole is located along the y-axis as shown in (picture attached). The magnitude of its electric dipole moment is defined as p=2aq. (a) At a point P, which is far from the dipole (r>>a), show that the electric potential is V=\frac{k_{e}pcosθ}{r^{2}} (b)...

As shown, I must derive a formula to find work. http://i.imgur.com/0U0eLqm.jpg I proceeded as follows. W= F * D = (B * I * L) * D V = BA/T I = V/R = (BA/t)/R = BA/tR F = B * (BA/tR) * A W = ((B^2*A^2)/tR) * A W = (B^2 * A^3)/tR Does that seem right? IIRC, the B*I*L formula is only...

Homework Statement Hi, I want to calculate the residue of this expression: Homework Equations I know that the residue of a function with a pole of k-th order is given by this: The Attempt at a Solution I know that the function has infinite number of poles at k*∏, for k=-∞ to...

Hi Can somebody tell me the steps and assumptions made in deriving the equation to calculate the wind velocity around a low pressure area ? (see the attachment fro Kleppner & Kolenkow). I tried to derive like this : Coordinate system located on Earth's surface with i direction towards E, j...

Hi I am trying to find a smart way to write the following fraction, $$ F = \frac{a_1}{1+\frac{a_2}{1+\frac{a_3}{1+a_4}}} $$ Here we can just take a_n= n for simplicity. My fraction is in principle infinite, but I am trying to construct a function which can find F for a given n recursively. I...

Homework Statement \dfrac{tan\left( \theta + 2\pi /3 \right) - tan\left( \theta + \pi /6 \right) + cos\left( \theta + \pi /6 \right)}{\sqrt{3}} \\ \theta \in \left( -5 \pi /12, - \pi /3 \right) The Attempt at a Solution At maximum, f'(x)=0 sin(θ+∏/6)=0 But there is no theta in...

Heather Jean's of Facebook writes: Simplify, \[-(6y-\gamma)-5(-\gamma+6y)\]

Hey, What are the steps to follow to draw a truth table and create canonical expression from a given expression A? Lets say I have A= B'.(C'+D) 1) first I have to draw the truth table for the expression above, but How could I do that since I only have one expression? 2)Then I...

Rewriting an expression...what math operation did my teacher do? I'm trying to see how did my teacher rewrite this expression in the following manner: What mathametical operation did he do? I really can't see it...

My basic math is failing me again :( My attempt to simply: My teacher's attempt: Ignore the difference in notation. He writes || which signifies (A x B) / (A + B) = A || B And yes I'm aware there is more to simplify but I fail to follow him on the first step

Homework Statement What is the pH of a buffer solution created by combining 100 mL of 0.2 M acetic acid and 400 mL of 0.10 M sodium acetate? Ka= 1.8 x 10^(-5)Homework Equations 1.8 x 10-5=([C2H3O2-][H+])/([HC2H3O2]) The Attempt at a Solution I know what I'm supposed to do to solve this...

for which value of a the expression write a*m*b+15*m+11*n+8 can be written into a product of something(with m)*something (with n) i can think how to find the product of this expression

I'm currently working out the Schrödinger equation for a proton in a constant magnetic field for a research project, and while computing the Hamiltonian I came across this expression: (\vec{A}\cdot\nabla)\Psi where \Psi is a scalar function of r, theta, and phi. How do you evaluate this...