What is Example: Definition and 877 Discussions

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  1. G

    Example of a homogeneous, but not isotropic system

    Hi, I have some trouble understanding if linear momentum and angular momentum (and their conservation laws) are completely independent or not. For example, one can calculate the angular momentum of a uniformly moving body with respect to a fixed point in space and show that it is indeed...
  2. Mogarrr

    Connected Sets and Their Interiors: Baby Rudin Exercise 2.20 Example

    Homework Statement This is from Baby Rudin Exercise 2.20- Are closures and interiors of connected sets always connected? (Look at subsets of \mathbb{R}^2 ). Homework Equations The interior is the set of all interior points for a set E that is a subset of a metric space X. A subset Y of a...
  3. N

    Varying current inducing E-field: example 7.9 in Griffiths

    Homework Statement Look at the attached file. 1) Why does Griffith simply say that the E-field of the amperian loop is parallel to the axis of the wire? 2) And how come ##\int \vec{E} \cdot d \vec{l} = -E(s) l ## ? Shouldn't it at least be ## E(s) 2l## ? Why the minus sign and ##l## instead...
  4. J

    Goldstein Mechanics example motion of one particle in polar coordinates

    I have a course next semester on Classical Mechanics (mostly Lagrangian problems), for a second time. I'm ok for the theoretical preparation, but I'm trying to work ahead on problems and exercises, which was badly explained and without much of any resources. So, one of the sources to exercise on...
  5. avito009

    Entropy: Example of Wear & Tear with a Broken Door

    A few months ago my door broke, so can I say the Entropy of the door is increased? This is because I read that Entropy is wear and tear. So the door broke due to wear and tear.
  6. U

    Eulerian vs Lagrangian approach in fluid mechanics (wave example)

    Hi All, Recently we've been working on the distinction between the Eulerian and Lagrangian approaches in Fluid mechanics. I understand the simpler examples like a running stream of hot water etc. However one example is really tripping me up. So what's confusing me is that in analyzing...
  7. K

    Disproving A=B with Counter Example: Sets A, B & C

    Hi , Can anyone please give me an idea to disprove the following with counter example: A , B & C be sets. If A X C = B X C , the A = B . I tried giving random numbers in venn diagram but didn't work. And, using subset way to prove equal but still couldn't solve it.
  8. Mogarrr

    Justifying Linear Interpolation in Coin Toss Example

    Today in class, there was an example where I didn't understand certain justifications. The example goes something like this: A casino runs a game of chance where you toss a coin and they pay $1 if you get heads , and you pay $1 if you get tails. The coin is a fair coin. A gambler starts...
  9. P

    Why no absolute derivative in this example of geodesic deviation?

    On the surface of a unit sphere two cars are on the equator moving north with velocity v. Their initial separation on the equator is d. I've used the equation of geodesic deviation...
  10. C

    Difficulty following example in Taylor's Classical Mechanics

    http://i.imgur.com/GP6QorG.jpg I don't follow the integration in it. I'm assuming Fx(x,0) and Fy(1,y) are the partial derivatives of F with respect to x and y, respectively, but given that, I can't seem to get my head around the result where the partial with respect to x is Fx = (x, 0) instead...
  11. ShayanJ

    Is this an example of a gauge theory? How?

    In the presence of a magnetic field with vector potential \vec A and an electric field, the Schrodinger equation for a charged particle with charge q and mass m becomes: \frac{1}{2m} (\frac{\hbar}{i} \vec \nabla-q\vec A)^2 \psi =(E-q \phi)\psi Another fact is that, Schrodinger equation...
  12. C

    Could someone explain this textbook example regarding float fl(x)

    Hi, okay here's the problem: *find fl(x) for 9.4* and here's how it's done 9.4 in binary is 1001.0110 0110 0110 since 9 = 1001 .4 = .0110 0110 0110... (basically, 0110 repeating) next using Rounding to Nearest Rule (see top on picture) we get what a binary number (boxed in black in the...
  13. Math Amateur

    MHB K^n as a K[T]-module - Example 2.1.2

    I am reading An Introduction to Rings and Modules With K-Theory in View by A.J. Berrick and M.E. Keating (B&K). I need help with understanding Example 2.1.2 (ii) (page 39) which concerns V = K^n viewed as a module over the polynomial ring K[T]. Example 2.1.2 (ii) (page 39) reads as follows:In...
  14. Math Amateur

    MHB Indecomposable modules - example from Berrick and Keating

    I am reading An Introduction to Rings and Modules With K-Theory in View by A.J. Berrick and M.E. Keating (B&K). At present I am focussed on Chapter 2: Direct Sums and Short Exact Sequences. Example 2.1.2 (i) on pages 38-39 reads as follows:https://www.physicsforums.com/attachments/2957 In the...
  15. W

    Feeling Stuck? Help with This Example Problem!

    I can't tell you how many attempts I've had at this. I must be following the current wrong, or something... PLEASE HELP.. this is an example from the chapter! I feel very stupid...
  16. F

    2D Harmonic Oscillator example

    Hello Forum, The 1D harmonic oscillator is an important model of a system that oscillates periodically and sinusoidally about its equilibrium position. The restoring force is linear. There is only one mode with one single frequency omega_0 (which is the resonant frequency). What about the...
  17. T

    Imparting Linear Momentum: Examining a Train Car Example

    This is not a problem, it is just a concept check :shy: What does it mean that something does not impart linear momentum to the rest of the system? For example grain leaking out a train car.
  18. D

    DES Substitution Example and Homework Solution

    Homework Statement example: S(18 09 12 3d 11 17 38 39) = 5fd25e03 Homework Equations The Attempt at a Solution So I know about DES that you split a 64 bit block into left and right halves 32 bits each. Where even bits are on the left and odd are on the right. Perform the round...
  19. Math Amateur

    MHB Splitting Fields - Beachy and Blair - Example 6.4.2

    I am reading Section 6.4: Splitting Fields in Beachy and Blair: Abstract Algebra. I am currently studying Example 6.4.2 on page 290 which concerns the splitting field of x^3 - 2 \text{ over } \mathbb{Q} . In Example 6.4.2, B&B show that the splitting field of x^3 - 2 \text{ over }...
  20. Math Amateur

    MHB Field Theory _ Dummit and Foote - Example 4 - page 516 - Simple Computation

    I am reading Dummit and Foote, Chapter 13 - Field Theory. I am currently studying Example 4 [pages 515 - 516] I need some help with what D&F call a simple computation. Example 4 on pages 515-516 reads as follows: Now in the above example, D&F write the following: " ... ... In this case, a...
  21. G

    Example of Completely positive map from M_n to M_m

    Can you guys give me a concrete example of a completely positive map from M_m → M_n?
  22. B

    B-spline and NURBS curve example

    Could someone send me some examples of B-spline curve and NURBS curve? Thank you
  23. M

    MHB Example of special fluid-Method of characteristics

    Hey! :o I have to solve the following system using the method of the characteristics. $$u_t+uu_x+p_x=0$$ $$p_t+up_x+pu_x=0$$ I have done the following: $$A=\begin{bmatrix} u & 1\\ p & u \end{bmatrix}$$ The eigenvalues are: $\lambda=u \pm \sqrt{p}$ - $\lambda=u+\sqrt{p}:$...
  24. PsychonautQQ

    Equivalences (me trying to understand an example)

    Homework Statement I'll be using ≈ as the equivalence symbol. If m and n are integers, define m≈n to mean that m-n is even. Then ≈ is an equivalence on Z. and [0] = {x→Z | x≈0} is the set of even integers [1] = {x→Z | x≈1} is the set of odd integers where the x→Z was used to...
  25. Maxo

    Understanding the Sign of 'g' and 'a': An Apparent Weight Example

    In my physics book the equation for apparent weight is given as FN = mg + ma where FN is the normal force, m is the mass of the object, g is the gravitational acceleration of the object (= 9.8 m/s2) and a is the acceleration of the system. For example the system could be someone standing on a...
  26. P

    Example of the method of characteristics

    Homework Statement Hi,guys I have a example, i understand almost everything but i have problems understanding some steps. Example: 2u't+3u'x=0,x\inR,t>0,u(x,0)=sin(x),u=u(x,y) The Attempt at a Solution I rewrite the example (1)2u't+3u'x=u's (2)u'tt's+u'xx's=u's From comparing (1)...
  27. D

    MATLAB How Do System and Measurement Noise Covariance Values Affect Kalman Filtering?

    On the mathworkd website, they have a case example of Kalman filtering here. What is the system and measurement noise covariance in this example?
  28. M

    Example about tangential and normal unit vectors

    Here is a example 1.3 from analytical dynamics of Haim Baruh. a particle moves on a path on the xy plane defined by the curve y=3*x^2 , where x varies with the relation x= sin(a). find the radius of curvature of the path and unit vectors in the normal and tangential directions when a=pi/6...
  29. caffeinemachine

    MHB Looking for an Example of an Amusing Theorem in Linear Algebra.

    My friend, who is a beginner in college mathematics, recently asked me to teach her linear algebra. She has a good grip on High School math. I am looking for an amusing theorem in linear algebra which can be appreciated by a beginner in college mathematics and at the same time arouse interest...
  30. sheldonrocks97

    An Example of a 2-Dimensional Subspace of C[0,1]

    Homework Statement Give an example of show that no such example exists. A two dimensional subspace of C[0,1] Homework Equations None that I know of. The Attempt at a Solution I know that C[0,1] is a set of continuous functions but I'm not sure where to go after that.
  31. N

    Example for conduction, convection, radiation energies ?

    Can you guys give me example for conduction, convection, radiation energies ?
  32. N

    Example of For every b ∈ R7, the system ATx = b is consistent

    example of "For every b ∈ R7, the system ATx = b is consistent" Homework Statement "For every b ∈ R7, the system ATx = b is consistent" I'm not sure if this is the right place to post this question. There's isn't a subsection known as 'general math' for me to post. What does the...
  33. I

    MHB Maclaurin Series for e^x Example

    Hey Guys! I'm stick on this question, I know that the summation of n=0 to infinity for x^n/n! equals e^x In the question it wants me to come up with a corresponding summation for the function x^2(e^(3x^2) - 1) … I don't know how to manipulate it to get the -1. I know i can substitute x for...
  34. T

    What is the maximum input voltage for valid analysis in the BJT hybrid pi model?

    Homework Statement Here is the example along with the solution: What I don't get is what happened to the R_E value. So in this model does it neglect this value? It seems like R_E could be anything and you would still get the same model.I have another question, for this same example, it asks...
  35. Math Amateur

    MHB Tensor Products - Example 8 - Dummit and Foote - Section 10.4, page 370

    I am reading Dummit and Foote Section 10.4: Tensor Products of Modules. I would appreciate some help in understanding Example (8) on page 366 concerning viewing the quotient ring R/I as an (R/I, R) -bimodule. Example (8) D&F page 370 reads as follows: (see attachment)...
  36. Math Amateur

    MHB Understanding D&F Example 2: R/I Bimodule on Page 366

    I am reading Dummit and Foote Section 10.4: Tensor Products of Modules. I would appreciate some help in understanding Example 2 on page 366 concerning viewing the quotient ring R/I as an (R/I, R) -bimodule. Example (2) D&F page 366 reads as follows...
  37. jdawg

    What is the Effect of a Non-Inertial Frame on Motion?

    Homework Statement So I'm having some trouble understanding this paragraph from my textbook. I was hoping that maybe someone could explain it to me. For example, we can assume that the ground is an inertial frame provided we can neglect Earth's astronomical motions(such as its rotation)...
  38. Math Amateur

    MHB Tensor Products - D&F page 369 Example 3 - The map phi

    I am reading Dummit and Foote, Section 10.4: Tensor Products of Modules. I am currently studying Example 3 on page 369 (see attachment). Example 3 on page 369 reads as follows: (see attachment) ------------------------------------------------------------------------------- In general...
  39. Math Amateur

    MHB Tensor Products - D&F page 369 Example 2

    I am reading Dummit and Foote, Section 10.4: Tensor Products of Modules. I am currently studying Example 3 on page 369 (see attachment). Example 3 on page 369 reads as follows: ------------------------------------------------------------------------------- In general, \mathbb{Z} / m...
  40. Math Amateur

    MHB Tensor Products - Dummit and Foote Section 10.4, Example 2, page 363

    I am reading Dummit and Foote Section 10.4: Tensor Products of Modules. I am currently studying Example 2, page 363 (see attachment) and I am trying to closely relate the example to Theorem 8 and the D&F text on extension of the scalars preceding Theorem 8 on pages 359-362) In Example 2 (see...
  41. P

    Solving Operator Nabla Example Problem

    Homework Statement So I have this rather komplex example and I am looking for help. ∇(3(r*a)r)/R5 -a/R5) r=xex+yey+zez a-constant vector R=r1/2 Homework Equations The Attempt at a Solution So the nabla " works" on every member individualy,and i have to careful here:(r*∇a),because...
  42. P

    Give me example of antipodal set in infinite dimensional?

    Please give me example of antipodal set in infinite dimensional?
  43. A

    Temporary threshold shift - is my example correct?

    Hi there, When it sounds like I am hearing the world from underwater for a few hours/few days after a very loud music concert, is that what is called temporary threshold shift? Or is TTS something that occurs only during the exposure to high dB? (Eg. at the loud concert itself). Thank...
  44. L

    Stability of the Classical Rutherford Atom: A Hydrogen Example

    I know there are other things that fail about the rutherford atom but as the electron is accelerating and radiating away energy it would fall into the nucleus, my question is how much energy would the electron need to gain so that the classical atom could be stable a hydrogen atom for example
  45. F

    What is an example of a surface integral using the method of projection?

    I'm a little unsure about an example of a surface integral I've come across, in which the method of projection is used. The example finds the surface area of a hyperbolic paraboloid given by z=(x2-y2)/2R bounded by a cylindrical surface of radius a, such that x2+y2=<2. The first issue I'm...
  46. Math Amateur

    MHB Localization - Dummit and Foote, EXAMPLE 2, Ch. 15, Section 15.4, page 708

    I am reading Dummit and Foote, Example 2 of Section 15.4, page 708. Rewriting the assertions of the example as exercise style questions, EXAMPLE 2, reads as follows: ------------------------------------------------------------------------------------- Let R be any commutative ring with 1 and...
  47. T

    How Can Bayesian Analysis Estimate Player A's Winning Probability in a Match?

    Hi, I am trying to learn something about Bayesian Analysis by doing an example. I have a series of 10 matches played between A and B, where each match is the first to 3 points. With an example data set that looks like this: ABBAA BAAA AABBA BBB BABB AAA AABA BAAA AABBB AAA I...
  48. C

    Example of a topological manifold without smooth transition functions.

    In the definition of smooth manifolds we require that the transition functions between different charts be infinitely differentiable (a circle is an example of such a manifold). Topological manifolds, however, does not require transitions functions to be smooth (or rather no transition functions...
  49. B

    Center of mass with gymnastics as an example

    Hi there, I was recently watching a gymnastics video, and the three gymnasts balance on each other in a crazy tower. Here is the part: http://youtu.be/Q5L4MT8LdOQ?t=2m10s Does the person on the bottom feel a shift in the center of mass due to the top person leaning so far back, making it...
  50. R

    Is an author of a popular textbook, for example griffiths, wealthy?

    For example Griffiths' Electrodynamics, and Quantum Mechanics seems popular. and the prices are expensive. I'm curious about how much money the author make by selling these books.
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