What is Example: Definition and 877 Discussions

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  1. X

    Cumulative distributed function example

    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...
  2. G

    Real Analysis - Differentiation in R^n - Example of a specific function

    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...
  3. H

    Symbolically solving Wikipedia Runge-Kutta example?

    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...
  4. R

    Example of conservative and non conservative force

    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.
  5. S

    Can someone explain this example ? (Gram-schmidt Orthago

    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.
  6. T

    Don't understand this conditional probabillity example

    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?
  7. G

    Example of a Homeomorphism f: Q -> Q not order preseving or order-reversing

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

    MHB Example about uhp iso to unit disc

    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...
  9. quasar987

    Simplest example where quantization is unknown

    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...
  10. T

    Example of PID and its maximal ideal

    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}...
  11. D

    Dynamic Programming - World Series Probability Example

    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...
  12. S

    Understanding KCL and the In=0 Principle in OMP Amplifiers

    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
  13. J

    Example question on pressure of liquids

    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.
  14. C

    About an example related to angular momentum in a textbook

    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} ...
  15. M

    Prove: Sum ai bi Converges if Sum ai & Sum bi Non-negative

    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...
  16. MTd2

    Is QEG's asymptotic safe point an example of self criticality?

    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...
  17. Z

    Fourier Series of modulus[t] - example of this?

    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...
  18. M

    Exploring Electric & Gravitational Fields: A Contrived Example?

    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...
  19. alexmahone

    MHB Give an example of a function f(x)

    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 $f((-1,\ 1))=(-\infty,\ \infty)$.
  20. alexmahone

    MHB Give an example of a function ....

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

    MHB Give an example of a convergent series

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

    Why cooling circuits, in a fridge for example, need a dryer?

    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?
  23. C

    Precise Definition of a Limit, Example Clarification

    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...
  24. O

    Trying to understand an integration example

    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...
  25. B

    'Rocket equation'(Physics by example, Rees, pr. 16)

    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?
  26. B

    Why is the smallest subgroup of G containing A and B equal to G itself?

    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!
  27. P

    Gravitational Potential Energy: Feynman's "3 Balls" Example

    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...
  28. T

    Path Integral example, analysis of integral limits for K-G theory

    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...
  29. K

    Time Dilation and Space Travel: Is Wikipedia example wrong?

    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...
  30. M

    Which is an example of the electromagnetic force?

    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...
  31. N

    Example in topology: quotient maps and arcwise connected

    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...
  32. N

    Confirming divergence theorm example

    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...
  33. B

    A working example wrt the supremum norm

    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.
  34. G

    Galilean transformation - can you show me an example?

    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...
  35. Ahmed Abdullah

    What is an indexed family of sets. I need a simple example

    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...
  36. A

    Classical example of conservation of angular momentum

    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...
  37. B

    I don't understand this estimation lemma example

    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|...
  38. R

    Understanding Group Orbits: A Wolfram Mathworld Example

    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...
  39. R

    Electrostatic interaction energy example (jackson)

    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}...
  40. T

    Simple Mechanics, relative motion example

    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...
  41. G

    Is it jut me or is there an error in this example?

    Where did the 50 for the v value come from?
  42. P

    Class example: limit of a function using definition

    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...
  43. M

    Elegant Universe: Example of motion's effect on space

    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...
  44. Z

    Galilean Transformation Limitations: Explained w/ Example

    Discuss the limitation of the galilean transformation,by using an example
  45. G

    Abs Continuous Function w/ Unbounded Derivative on [a,b]

    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...
  46. jinksys

    Representing |psi> with Continuous Eigenvectors: An Example

    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...
  47. R

    Can someone please explain this example about cantilever beams

    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
  48. N

    Gauss' Law - difficulty understanding this example

    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...
  49. B

    What are the electrons doing in this example?

    Given the following image of 2 conductors, a negatively charged inner ring and positively charged outer ring, taken from http://www.physicsclassroom.com/class/estatics/u8l4d.cfm" Where are the electrons located in the outer ring? If there was no inner ring, and as the outer is...
  50. K

    Quantum Griffiths Example

    Find the expectation value of the potential energy in the nth state of the harmonic oscillator. This is his example 2.5 in the book, he uses a\pm=1/Sqrt[2hmw](\mpip+mwx) to get x=Sqrt[h/2mw](a_{+}+a_{-}) My question how does he do this? I can't seem to make the algebraic manipulations to...
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