Square Definition and 1000 Threads

Why does loudness of sound vary as square of amplitude? Why not cube of amplitude or just amplitude?

Homework Statement Is state ψ(x) an energy eigenstate of the infinite square well? ψ(x) = aφ1(x) + bφ2(x) + cφ3(x) a,b, and c are constants Homework Equations Not sure... See attempt at solution. The Attempt at a Solution I have no idea how to solve, and my book does not address this type...

I just noticed in reading Griffiths that he places the base of the infinite square well at a zero potential while he places the base of the finite square well at a negative potential -V_0, where V_0 is a positive, real number; is there any reason for this? I just started learning about them/am...

Hi guys, I'm new on this forum. I need advice... I'm in building my own street workout/calisthenics park at my parents home... I don't know anything about steel materials and so i don't know what steel to use, and what form... Round or square tube for columns. Which would be the strongest?

I'm trying to create a square using algebra tiles. The question is x^2 + 4x + 5. I know how to do it without the algebra tiles but I don't know how to do it with the algebra tiles. Can anyone give me a hand with this?

How is it equal to v in the end? I'm sorry for asking such questions. But I'm just trying to understand

Sorry if i may sound little unclear, english is not my first langue. I I am looking for a way to create a circle that is in a square cut in 8x8 in matlab. I would be glad if someone could give me a hand. Thanks!

Hi, I'm working with a magnetic levitron project and I've borrowed a professional levitron to see how it works. When I remove the back cap, unexpectedly I saw a square shaped magnet instead of ring magnet. But it acts like almost a ring magnet. I'll explain the difference with images below. At...

Homework Statement Show that all square matrix (A whatever) can be written as the sum of a symmetric matrix and a anti symmetric matrix. Homework Equations I think this relation might be relevant : $$ A=\frac{1}{2}*(A+A^{T})+\frac{1}{2}*(A-A^{T}) $$ The Attempt at a Solution I know that we...

Hey guys, I am trying to design an Inductive Square Antenna Coil that will be milled onto my PCB. I am slightly confused when it comes to the matching circuit. To my understanding the matching circuit is there to have the same impedance value of the antenna, correct? So my matching circuit...

Homework Statement I think this is a square well potential problem. The question asks me to sketch the ground-state probability density, for the following situation: A quasielectron moves in a 'quantum dot' device. The potential V(x) = 0 for 0 ≤ x < L, and is infinite otherwise. Homework...

Homework Statement If two vertex of a square of the side AB is A(1,2) and B(2,4) find other two vertex C and D? Homework Equations 1. y-y1 = m ( x-x1) 2. m=y1-y2 / x1-x2 3. m1*m2= -1 4. (x-x1) / (x1-x2) =(y-y1)/(y1-y2) 5. m=tanA 6. If ax+by+c=0 then its parallel line is ax+by+k=0 The Attempt...

The following is invalid, since the operation is not defined when ##a, b < 0##: ##\sqrt{-1}\sqrt{-1} = \sqrt{(-1)(-1)} = \sqrt{(-1)^2} = \sqrt{1} = 1##. This is not correct, because ##ii = -1##. This shows that ##\sqrt{a}\sqrt{b} = \sqrt{ab}## is invalid when ##a, b< 0##. However, say we have...

I'm doing an online course in quantum information theory, but it seems to require some knowledge of linear algebra that I don't have. A definition that popped up today was the definition of the absolute value of a matrix as: lAl = √(A*A) , where * denotes conjugate transpose. Now for a...

Help! Has anybody made a case as to why the inverse square law should apply to gravitation, a case that is based on pure reasoning, instead of empirical evidence? I have been trying to find such arguments, but no luck so far. Janein

Hi, Suppose there is a very thin square tile set evenly on the floor such that one corner is at the origin, (0,0) of an xy plane. The tile is 1 x 1 units and thus, the corner of the tile opposite of the origin is at (1,1) on the xy plane. Suppose the corner of the tile at (1,1) is grasped and...

Homework Statement Find [(3 - 51/2)/2]1/2 Homework EquationsThe Attempt at a Solution My calculator says (-1 + √5)/2 I have no idea how. Rationalising doesn't really do much good. Just tell me where to start.

Hi - following an example in my book to calc. the Fourier Transform of the Gaussian. We need to complete the square to integrate the exponent, the power is $-a^2t^2+i\omega t$ ... - all good so far. Trouble is when I complete the square I get $$-a^2(t-\frac{i\omega}{2a^2})^2...

Show that $\sqrt{99}-\sqrt{98}+\sqrt{97}-\sqrt{96}+\cdots-\sqrt{4}+\sqrt{3}-\sqrt{2}+\sqrt{1}> 5$.

Homework Statement A 21cm×21cm square loop has a resistance of 0.12 Ω . A magnetic field perpendicular to the loop is B=4t−2t^2, where B is in tesla and t is in seconds. (A) What is the current in the loop at t=0.0s? (B) What is the current in the loop at t=1.0s? Homework Equations for a...

Homework Statement How Can i do this on matlap the question in Attached files Homework Equations The Attempt at a Solution i try a lot but i failed

Homework Statement Homework Equations -We can re-arrange circuit components into simpler orientations as long as the components' connections to previous nodes are maintained. The Attempt at a Solution -I attempted to re-arrange the loop of three resistors at the upper left region to no...

Homework Statement "[Find the volume of a] solid whose base is the region bounded by the curves (y = x2) and y = 2 - x2 and whose cross sections through the solid perpendicular to the x-axis are squares." Homework Equations A(f(x)) = f(x)2 V = ∫(A(f(x))dx Image of problem...

So I learned that if a vector (a1, a2, a3) is transformed to a different set of coordinates, and the components of the resulting vector are squared like so: (a1'2, a2'2, a3'2), this result is not itself a vector. The proof for this simply shows that each component ai'2 does not transform to ai2...

Homework Statement Given the isosceles triangle whose sides are : c=10 b=13 find the are of a square drawn inside the triangle whose upper edges touch the b sides of the triangle. Homework Equations 3. The Attempt at a Solution [/B] I named the side of the square a. First i made two equations...

Dear friends, I am trying to create icons on the desktop by customizing size, such as rectangle ( not square icon anymore), would you like to help? thank you, Nate Duong,

Is the principle square root just the positive and negative roots of any number (as opposed to just the positive)? I've seen some confusing definitions of this term online and thought I'd double-check with knowledgeable math people here. Lastly, if it is just the + and - roots of any number...

The quantum states ##\psi(x)## of the infinite square well of width ##a## are given by ##\psi(x) = \sqrt{\frac{2}{a}}\sin\Big(\frac{n \pi x}{a}\Big),\ n= 1,2,3, \dots## Now, I understand ##n \neq 0##, as otherwise ##\psi(x)## is non-normalisable. But, can't we get additional states for...

I'm not sure whether to put this here or in Linear Algebra, if any Mod feels it should go in Linear Algebra I won't mind. I've just been introduced to Fourier Series decompositions in my Linear Algebra text, and I understand all the core concepts so far from the Linear Algebra side of it (a...

$m,n\in N ,n<m $ given : $(1)1000\leq m<2011$ $(2) m-n=p^k$ here $p$ is a prime, and $k$$\in\{0,1,2\}$ $(3)m\times n $ is a perfect square number , find all possibe $m$

Homework Statement I'am trying to make a simple machine which is to lift a display up and down. The construction mostly using hollow square. so far I got the weight of the display and the support is 25 Kg and I have this kind of construction. if simplified become like this Homework...

Homework Statement A wire is formed into the shape of a square of edge length L. Show that when the current in the loop is I, the magnetic field at point P a distance x from the center of the square along its axis is $$B=\frac{\mu_0 IL^2}{2\pi(x^2+L^2/4)\sqrt{x^2+L^2/2}}$$ Homework...

Homework Statement A flexible wire loop has a radius of r = 0.178 m and it is inside a uniform magnetic field of B = 0.332 T. The loop is grasped at points P and Q and stretched until its area is zero. It takes 0.146 s to close the loop. Homework Equations EMF = ∆Phi/∆t Phi = magnetic flux...

I've been trying to answer this question for several days now with no results. Here is the question Imgur: The most awesome images on the Internet Now, I know the answer is -4/npi, but after integrating the function piece-wise (broke it into 3 separate integrals) I got 4sin(npi/2)/npi...

1. Homework Statement A piece of work I am doing for college (UK college that is) has me investigating the inverse square law for gamma radiation. I have collected data and the graph comes out looking right. I want to create a linearised graph of the data to investigate the results further. If...

How do you know when to use exponentials and trig functions when solving for the wave function in a finite square well? I know you can do both, but is there some way to tell before hand which method will make the problem easier? Does it have something to do with parity?

Homework Statement [/B] Calculate \widehat{Y^{2}} (i.e., the mean of the square of Y. Homework Equations Y=\sum_{k=0}^{N-1}y_{k} where y_{k}=e^{-\gamma t}e^{\gamma \tau k}G_{k} and t=N\tau The quantities y_{k} (or G_{k}) are statistically independent. The Attempt at a Solution...

Homework Statement This is for a practice question on an exam: I am able to finish the problem, if I could figure out how to find the radius of this arc the proton makes. Homework Equations I have nothing. The Attempt at a Solution I have tried arc length equations and just integrating the...

Homework Statement Consider a particle in an infinite square well potential that has the initial wave-function: Ψ(x,0) = (1/√2) [Ψ_1(x) + Ψ_2(x)] where Ψ_1(x) and Ψ_2(x) are the ground and first excited state wavefunctions. We notice that <x> oscillates in time. FIND the frequency of...

Problem statement: Find the arc length of the curve defined by x = √t and y = 3t -1 on the interval 0 < t < 1attempted solution: dx/dt = 1/2t-1/2 , dy/dt = 3 and dx = dt/ 2√t dy/dx = 6√t length = ∫01 √(1 + (6√t)2) .dt/ 2√t = ∫01 √1 + 36t) dt/2√t now I'm stuck with a product that is very...

1. Integrate the following: (4x - x^2)^1/2 dx 2. Any assistance would be appreciated.3. Honestly don't know where to start.

Homework Statement Prove that for all natural numbers n, there exists a natural number m^2 such that n ≤ m^2 ≤ 2n The Attempt at a Solution I know how to prove this directly or by construction but my professor wants it solved by induction. When you're solving something by induction you have...

Hello, I think that I have done this correctly, but this is the first problem I have done on my own and would appreciate confirmation. 1. Homework Statement Find the Fourier series corresponding to the following functions that are periodic over the interval (−π, π) with: (a) f(x) = 1 for...

Does it make a sense to define the Taylor expansion of the square of the distance function? If so, how can one compute its coefficients? I simply thought that the square of the distance function is a scalar function, so I think that one can write $$ d^2(x,x_0)=d^2(x'+(x-x'),x_0)=d^2(x',x_0) +...

I'm given an operator $\mathcal{L}$ is Hermitian, and asked to show $<\mathcal{L}^2>$ is $\ge 0$ I believe $<\mathcal{L}>$ is the expectation value, $=\int_{}^{}\Psi^* \mathcal{L} \Psi \,d\tau $ (Side issue: I am not sure what $d\tau $ is, perhaps a small region of space? And the interval?) I...

Homework Statement A point charge of +6μC is placed at a distance 20 cm directly above the center of a square of side 40cm.The magnitude of the flux through the square is Homework Equations The Attempt at a Solution Now how to enclose the charge completely?The answer is with the help of 5...

Homework Statement A particle is confined between rigid walls separated by a distance L=0.189. The particle is in the second excited state (n=3). Evaluate the probability to find the particle in an interval of width 1.00 pm located at a)x=0.188nm b)x=0.031nm c)x=0.79nm What would be the...

Homework Statement I've attached a url with a picture of the problem setup and diagram https://instagram.com/p/7nYNXTscre/ Homework Equations I used the equation V = KΣiqi/ri to solve for potential at A and B The Attempt at a Solution For Va I used K((Q/d)+ (2Q/(d^2+d^2)^.5)) I just plugged...

Why is this true? It is bigger but it is not equal to

Homework Statement I am having trouble understanding what this picture is showing. [/B] I know that in the case of a sine wave, the voltage below zero will not conduct much if it does not drop past the breakdown region. On the other hand, it will start to conduct and grow exponentially at...