Example Definition and 879 Threads

Hi. I really need an maple program example that solve tensor. Plz help me

I am reading in my textbook an example problem. In this problem, there is a rope tied to a boulder on one end, and on the other it is tied to a car stuck in the mud. A person then applies a force at the midpoint of the rope. I was wondering if someone could explain to me why the "person pushing...

I was looking to a video about cumulative distribution function () and he show the following function: \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ | 1/4, 0 \leq x \leq1 \\ f(x) =<(x^3)/5, 1 \leq x \leq 2 \\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ |0, otherwise. At minute 8:45, he presents the cumulative...

Homework Statement Give an example of a continuous function f:R^2→R having partial derivatives at (0,0) with f_1 (0,0)≠0,f_2 (0,0)≠0 But the vector (f_1 (0,0),f_2 (0,0)) does not point in the direction of maximal change, even though there is such a direction. (If this is too difficult...

The Wikipedia page for "Runge-Kutta methods"[1] gives the following example: y' = tan y + 1 y(1) = 1 t in [1, 1.1] Using a step-size of h = .025, this solution is found: y(1.1) = 1.335079087 I decided to check this solution by solving symbolically. But my attempts to symbolically...

Hello frnds, i understand what conservative and non conservative force are but i didn't get it properly with practical example. so any article is there which explain it properly with practical example and in easy way, i searched but didn't get any article that satisfy me.

http://dl.dropbox.com/u/33103477/4.png Can someone explain to me how the bits in red are calculated with Integration, the examples are doing my head in and it would be really useful if a human could show me how they are getting the values cause mine are different.

At the bottom of the page (example 2) for question c) P(B|A'). They say P(B n A') = 0.2. But surely it is (B while not A) which in my mind should be 0.15. Can somebody tell why it is 0.2?

Any ideas? I really can't think of any myself, as I'm quite the amatuer at topology.

I am trying to understand this example: Let H be the upper half plane. The map $$ f:z\mapsto\frac{z - i}{z + i} $$ is an isomorphism of H with the unit disc. proof: Let $w=f(z)$ and $z=x+yi$. Then $$ f(z) = \frac{x + (y-1)i}{x+(y+1)i}. $$ Since $z\in H$, $y>0$, it follows that...

As I understand (from reading p. 2-06 of Marle's 1975 text on geometric quantization available on the french wiki page on "quantification géométrique") , there are physical situations where we do not know how to write the Schrodinger equation. Namely, we do not know what operator to take as the...

I got one example on my notes about PID and maximal ideal. I feel it is a strange example as it doesn't make sense to me, and there are no explanations. It says: For a prime p\in\mathbb{N}, denote by \mathbb{Z}_{(p)} the subring of \mathbb{Q} given by \mathbb{Z}_{(p)}={\frac{m}{n}...

Homework Statement Two teams A and B play at most 2n-1 games. For any match there is a constant probability p that A wins and a constant probability q=1-p that B wins. P(i,j) is the probability that A wins; A needs i more wins to win and b needs j more wins to win. At the begin the...

i came across an example in my textbook as shown : http://img593.imageshack.us/img593/8444/img1314i.jpg if we used KCL and In = 0 : In = I_100 + I_25 => I_25 = -I_100 but as being written in the answer , I_25 = I_100 ! could anyone explain it for me ? thanks

This question seemed a bit abstract to me, maybe some of you could come up with an answer with explanation? When designing a dam should one consider the horizontal extent of the water behind the dam or the vertical depth of the water? Justify your answer. Thanks.

Hey I either have the worst physics textbook in the history of physics textbooks or i can't understand a topic.I'd appreciate if you help me decide which is it. (Pic related is the image of the example) First let's agree on the symbols let's call angular velocity: \omega = \frac{rxv}{||r||^2} ...

Hi Can someone please help me to prove or give a counter example is sum ai and sum bi are convergent series with non-negative terms then sum aibi converges I believe that if it doesn't say "non-negative terms" then this wouldn't be true. Am I correct? Since each of two non-negative...

According to wikipedia: "In physics, self-organized criticality (SOC) is a property of (classes of) dynamical systems which have a critical point as an attractor. Their macroscopic behaviour thus displays the spatial and/or temporal scale-invariance characteristic of the critical point of a...

Homework Statement Does anyone know of a website, or a book, where I can see a worked example of the Fourier Series f(t) = [t] -∏<t<∏ T=2∏ Finding a0 and an Of course, it doesn't have to be t, it could be x or any other variable. Thank you. Homework Equations The...

Hi, I am interested in trying to better understand the nature of fields in terms of a possibly somewhat contrived example. It seems, from a classical perspective, that an electric or gravitational field is capable of transporting potential energy between two points in space defined by two...

Give an example of a function $\displaystyle f(x)$ for which $\displaystyle f([-1,\ 1])=(-\infty,\ \infty)$. My thoughts: $\displaystyle f(x)=\frac{x}{(x-1)(x+1)}$ is a function for which $f((-1,\ 1))=(-\infty,\ \infty)$.

Give an example of a function which is periodic, non-constant, and yet has no minimal period.

Give an example of a convergent series $\sum a_n$ for which $(a_n)^{1/n}\to 1$. PS: I think I got it: $\sum\frac{1}{n^2}$

Since they are closed systems, and do not contain water, why do they use a dryer? And how does that dryer works? It uses a dissecant? If so does it need to be changed?

This isn't a homework problem. My textbook has an example for this subject and I'm having difficulty understanding it. I follow the example up until the point at which it says, "Notice that 0 < | x - 3 | < (0.1)/2 = 0.05, then " I don't understand why delta was substituted with (what...

Hello. I am having some trouble understanding an integration example we have. I have written it out in the attached pdf. I would be grateful if someone can help me undertand what is going on. I assume you let a = (x-RP)/(√2 ΔRP) da to make the process easier, but I am, not sure how that...

Questions: 1. How can one tell that at time t+dt the velocity of the rocket is an infinitesimal quantity and the velocity of the ejected product a real quantity? 2. Why is for the mass of the rocket not simply written m-dm and why for the mass of the ejected product not written (+)dm?

In an example it says that, if |G| = 15 and G has subgroups A,B of G with |A| = 5 and |B| = 3 , then A \cap B must equal \{e_G\} and the smallest subgroup of G containing both A and B is G itself. Could anyone explain why? Thanks!

Feynman's lecture on physics: chapter 4 derives equation for gravitational potential energy by a "lifting 3 balls" example. The book notes: "But the strange thing is that, in a certain way of speaking, we have not lifted two of them at all because, after all, there were balls on shelves 2 and...

In general I find in books that the path integral approach is an equivalent alternative of the hamiltonian approach for QFT (and for QT in general, but my concern is with QFT). There I usually find that this method is usually developed in a formal way and used to derive Feynman rules, gauge...

Quoting from Wikipedia: "Time dilation would make it possible for passengers in a fast-moving vehicle to travel further into the future while aging very little, in that their great speed slows down the rate of passage of on-board time. That is, the ship's clock (and according to relativity...

This was a question on an online homework for a modern physics class. I had two chances to answer it, but I was wrong both times, so I'm simply curious what the answer is. Homework Statement The Attempt at a Solution (a) Quarks attracted to one another is the strong force (b) A...

Just to make sure that I'm not overlooking anything, is the following an example of a quotient map p: X \to Y with the properties that Y is pathwise connected (i.e. connected by a continuous function from the unit interval), \forall y \in Y: p^{-1}(\{ y \}) \subset X also pathwise connected and...

Hello, I am having trouble confirming that the flux integral is equal to the divergence over a volume. I am making a silly mistake & its just one of those days that I can't eyeball it. Here is the problem. I want to compute the flux integral for \vec{ F}=x\hat i+y\hat j-z\hat k...

Folks, Could anyone give me a working example of a sequence of functions that converges to a function wrt to the supremum norm? Thank you.

I'm still having trouble with the basic foundations of relativity so I am taking a look here at the Galilean transformation. I know the only thing that changes is x' = x-vt Now can someone explain what each variable stands for and can show me how you would do an actual example with...

I have looked it in the Wikipedia, but no simple example. So I am not sure. Is the indexed family of sets just power sets, indexed (indexing means labeling as I understand)? For example the indexed family of sets of set A ={1,2,3,4,5,6} is just the collection of element from power set. A sub 1...

Trying to get the idea behind this, but it's kind of new thinking all this rotational dynamics. The classical example of conservation of angular momentum is when a ballerina pulls in her arms as she spins to spin faster. The angular momentum theorem tells us: I1*α1 = I2*α2 So as she decreases...

I don't understand this estimation lemma example :( We are given the 'curve', And part of the example is showing that the contour integral over the top semicircle C_R tends to zero. Apparently we use the estimation lemma and the fact that, |z^2 +1| \geq |z|^2 - 1 to show, \left|...

I just started learning about group orbits, and wanted to look it up online, because I needed some more clarification. However, stumbling upon this Wolfram's Mathworld entry, I ended up even more confused, especially after reading that example for the permutation group G1. Could someone perhaps...

Homework Statement I am trying to follow a derivation in Jackson - Classical ElectrodynamicsHomework Equations In equation 1.58 (2nd/3rd edition) of Jackson - Classical Electrodynamics he says that by using the fact that \mathbf{\rho} \cdot (\mathbf{\rho} +\mathbf{n})/ | \mathbf{\rho +n|}^{3}...

Homework Statement Might be the sketch most useful first: The prism is sliding horizontally from left to right under condition : S(t)=4*t*t+5*t+1[cm] and the bar OA is rotating, point A is sliding over the prism's slope and point O is the immobilized center of bar's rotation, OA=10cm...

Where did the 50 for the v value come from?

I am having trouble understanding how to find the limit of a function (using the definition of a limit). I have a class example, and was wondering if anyone could walk me through the steps. Homework Statement Using the definition of the limit to show that limx→2(x2)=4 f(x) = x2 c=2 L=4...

I apologize for asking what is no doubt a very basic question. I had thought I understood the example, but re reading the book I realize I did not and can't seem to get to a satisfactory explanation on my own. Greene's example is from pages 46-47 First Vintage Books Edition March 2000...

Discuss the limitation of the galilean transformation,by using an example

What is an example of an absolutely continuous function on [a,b] whose derivative is unbounded? I know that the function f: [-1,1] defined by f(x) = x^2sin(1/x^2) for x ≠ 0, f(0) = 0 is continuous and its derivative f'(x) = 2xsin(1/x^2)-2/xcos(1/x^2) for x ≠ 0, f'(0) = 0 is unbounded on...

Homework Statement for discrete basis vectors {{e_n}}, a state vector |psi> is represented by a column vector, with elements being psi_n = <e_n|psi>. When basis vectors correspond to those with continuous eigenvalues, vectors are represented by functions. Give such an example of a state...

This might look a bit stupid but I have just started beams and I can't understand a part in this example it is to do with finding a general equation of the height at any given point on a tapered cantilever beam can someone please explain

Homework Statement [PLAIN]http://img851.imageshack.us/img851/5741/86853377.jpg The Attempt at a Solution For the long straight wire, the charge per unit length λ is already given, this is distributed on the surface of the wire. The electric field is zero for anything less than r1...