What is Example: Definition and 877 Discussions

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  1. C

    Example of funcion that satisfies

    Homework Statement Find example of function that saatisfies ##\lim\limits_{(x,y)\to(0,0)}f(x,y)=0## and ##0\neq\lim\limits_{x\to y}\lim\limits_{y\to0}f(x,y)\neq\lim\limits_{y\to0}\lim\limits_{x\to0}f(x,y)## The Attempt at a Solution In my opinion it is impossible. Let...
  2. mnb96

    Example of differentiable manifold of class C^1

    Hello, I read from several sources the statement that the set of points M\inℝ2 given by (t, \, |t|^2) is an example of differentiable manifold of class C1 but not C2. Is that true? To be honest, that statement does not convince me completely, because in order for M to be a manifold, we should...
  3. D

    Help me understand this example of applying Bayes' Theorem

    I'm reviewing some notes regarding probability, and the section regarding Conditional Probability gives the following example: The middle expression is clearly just the application of Bayes' Theorem, but I can't see how the third expression is equal to the second. Can someone please...
  4. Math Amateur

    Affine Algebraic Sets - D&F Chapter 15, Section 15.1 - Example 2

    I am reading Dummit and Foote Ch 15, Commutative Rings and Algebraic Geometry. In Section 15.1 Noetherian Rings and Affine Algebraic Sets, Example 2 on page 660 reads as follows: (see attachment) ----------------------------------------------------------------------------------------------...
  5. Math Amateur

    Affine Algebraic Sets - D&F Chapter 15, Section 15.1 - Example 3 - pag

    I am reading Dummit and Foote Ch 15, Commutative Rings and Algebraic Geometry. In Section 15.1 Noetherian Rings and Affine Algebraic Sets, Example 3 on page 660 reads as follows: (see attachment) ----------------------------------------------------------------------------------------------...
  6. Math Amateur

    MHB Affine Algebraic Sets - D&F Chapter 15, Section 15.1 - Example 3 - page 660

    I am reading Dummit and Foote Ch 15, Commutative Rings and Algebraic Geometry. In Section 15.1 Noetherian Rings and Affine Algebraic Sets, Example 3 on page 660 reads as follows: (see attachment)...
  7. Math Amateur

    MHB Field Theory - Nicholson - Splitting Fields - Section 6.3 - Example 1

    I am reading Nicholson: Introduction to Abstract Algebra, Section 6.3 Splitting Fields. Example 1 reads as follows: (see attachment) -------------------------------------------------------------------------------------------------- Example 1. Find an extension E \supseteq \mathbb{Z}_2 in...
  8. Math Amateur

    MHB Field Theory - Nicholson - Algebraic Extensions - Section 6.2 - Example 15

    I am reading Nicholson: Introduction to Abstract Algebra, Section 6.2 - Algebraic Extensions. Example 15 on page 282 (see attachment) reads as follows: --------------------------------------------------------------------------------------------------------------------------------- Example 15...
  9. Math Amateur

    MHB Field Theory - Nicholson - Algebraic Extensions - Section 6.2 - Example 13

    xample 13 from Nicholson: Introduction to Abstract Algebra, Section 6.2, page 282 reads as follows: (see attachment) ------------------------------------------------------------------------------------------------------------------ Example 13: If u = \sqrt[3]{2} show that \mathbb{Q}(u) =...
  10. Math Amateur

    MHB Field Theory: Nicholson, 6.2 Algebraic Extensions - Example 14 (p. 282) Solution

    I am reading Nicholson: Introduction to Abstract Algebra, Section 6.2 Algebraic Extensions. Example 14 on page 282 (see attachment) reads as follows: ------------------------------------------------------------------------------------------- Example 14. Let E \supseteq F be fields and let...
  11. Math Amateur

    MHB Field Theory: Nicholson Alg Ext, Sec 6.2 Ex 13 Pg 282 Explained

    I am reading Nicholson: Introduction to Abstract Algebra, Section 6.2 Algebraic Extensions. Example 13 on page 282 (see attachment) reads as follows: "If u = \sqrt[3]{2} show that \mathbb{Q}(u) = \mathbb{Q}(u^2) " In the third line of the explanation - see page 282 of attachment - we...
  12. X

    Is 1/n - 1/(n+k) a Valid Example of a Cauchy Sequence?

    one of example of cauchy sequence show that = 1/n - 1/(n+k) and In the above we have used the inequality 1/(n+m)^2 <= ( 1/(n+m-1) - 1/(n+m) ) => i don't under stand where this come from and what is inequality? can you give other example?
  13. N

    MHB Mobius transformations - I don't get this example

    Please refer to the attached image (sorry for the bad cropping, they were on separate pages) I don't get what is meant by "two finite points''. Are these any two points which aren't equal to infinity? Could i have chosen f(1) and f(2) ? what am i not understanding. IF someone could explain...
  14. B

    Center of Mass (Boxcar water example)

    A boxcar of length 8.00 m and height 2.40 m is at rest on frictionless rails. The empty boxcar has a mass of 3750 kg. Inside the boxcar, located at the left end, is a tank containing 2450 kg of water. The tank is 2.00 m long and 2.40 m tall. The tank starts to leak, and the water fills the...
  15. B

    (Finite Impulse Response)FIR filter math by hand example

    can someone do a design of a FIR filter using the Window design method by hand as an example and post it? Please do not use mat lab. I would like to learn how to do it myself by hand. I have been have use Google but no luck . all the pages I have seen use mat lab in their example. So I...
  16. M

    Thermodynamics - example with answer

    Hi Here is a question with answer , in fact I don't understand the answer fully .. please can explain to me the answer .. pleas anyone clear out the answer and here in answer I saw that work is negative is that because work done by the system ? The question : - Answer
  17. Math Amateur

    MHB Splitting Fields - Dummit and Foote - Example - page 541 - x^p - 2, p prime

    I am reading Dummit and Foote Section 13.4 Splitting Fields and Algebraic Closures In particular, I am trying to understand D&F's example on page 541 - namely "Splitting Field of x^p - 2, p a prime - see attached. I follow the example down to the following statement: " ... ... ... so...
  18. Math Amateur

    MHB Algebraic Extensions: Dummit & Foote Section 13.2, Example 2 pg 526 - Help!

    I am reading Dummit and Foote on algebraic extensions. I am having some issues understanding Example 2 on page 526 - see attachment. Example 2 on page 526 reads as follows...
  19. R

    Help Understanding Chain Rule Example Problem in Calculus

    Homework Statement May I please have help understanding this example problem in my textbook. I am working on the chain rule for finding derivatives in Calculus. What I am currently having trouble with is factoring. My textbook gives the follwing example: f'(x) =(3x - 5)4(7 - x)10...
  20. C

    Could really use some help with the notation in this example

    http://img59.imageshack.us/img59/6414/puag.png The picture above is used to help understand artificial neural networks, however for now this doesn't matter as I'm only concerned with the maths. A number is input at the start of each both horizontal lines at the left hand side. The numbers...
  21. M

    Show by means of example that lim/x→a/[f(x)g(x)] may exist

    Show by means of example that lim/x→a/[f(x)g(x)] may exist even though neither lim/x→a/f(x) nor lim/x→a/g(x) exists. I have tried using examples such as piecewise functions and rational functions, but can never validate the statement. Any guidance and help would be great. Thanks.
  22. H

    Example involving conditional probability and transitivity

    I'm just going to post a screenshot of the Example (free online textbook). I'm having a tough time making the leap to the first sum - what allows me to rewrite P(T|A) as the sum of the product of those two conditional probabilities? Thanks
  23. P

    How Does Δml=0 and Δl=±1 Apply in Quantum Mechanics?

    The selection rules state that: Δl=±1 Δml=0,±1 I can't figure out a case where Δml=0 and Δl=±1, can anyone help by giving an example? Thanks.
  24. B

    Investigating an Unexpected Result with DFT: Examining Example 1

    ok this is the best example i could find of DFT http://faculty.ksu.edu.sa/ghulam/Documents/CEN352/DSP_CEN352_ch4_DFT.pdf example 1) this is what I am trying to do... however it did not work for the guy... f[1] should be the only one with an value but it was a j0.5 and he got that for...
  25. Math Amateur

    MHB Exact Sequences - Diagrams that 'commute' - Example

    I am reading Dummit and Foote Section 10.5 on Exact Sequences. I am trying to understand Example 1 as given at the bottom of page 381 and continued at the top of page 382 - please see attachment for the diagram and explanantion of the example. The example, as you can no doubt see, requires...
  26. D

    Non-trivial example of Quantifiers

    Can I have a non-trivial example of where \forall x P(x) \rightarrow \exists x P(x) fails?
  27. F

    Physics nonlinear ODE example for numerical methods project?

    I am doing a little research project into numerical methods of solving ODEs where I do 1 half of learning about the basics of numerical methods and then look at a particular method (Linear multistep) and then the second half is looking at a particular example, applying what I've learned and...
  28. liometopum

    Example of moment of inertia constant K, greater than one?

    Regarding the moment of inertia constant, k, as in I = kmr^2, k is often a fraction less than one, and sometimes is equal to one. http://en.wikipedia.org/wiki/List_of_moments_of_inertia Is there an example of k being greater than one?
  29. E

    What is the weight and scale reading during elevator acceleration?

    Homework Statement A 65-kg woman descends in an elevator that briefly acclerates at 0.20g downward when leaving a floor. She stands on a scale that reads in kg. (a) During this acceleration, what is her weight and what does the scale read? Homework Equations ƩF = ma mg - Fn =...
  30. D

    Can You Give Examples of Industrial Processes That Depend on Gas Pressure?

    Hello can someone please give me an example of TWO industrial process which uses and depends on gas pressure or the change in gas pressure. Basically did this but instead wrote about gas Laws uses in different things so have to re do it (didn't read the question as we were learning about gas...
  31. E

    KVL loop: Example wrong, or did I misunderstand?

    In my circuit analysis textbook, there is an example problem using a KVL loop. Though it seems relatively simple, I cannot understand the answer. the loop consists of 3 voltages: -8, 12, and the unknown, Vr2. The polarities (clockwise) around the loop are respectively +,-,+. The answer...
  32. Math Amateur

    MHB Specific example of Eisenstein's Theorem using R = Z

    Eisenstein's Criterion is stated in Dummit and Foote as follows: (see attachment) ----------------------------------------------------------------------------------- Proposition 13 (Eisenstein's Criterion) Let P be a prime ideal of the integral domain R and let f(x) = x^n + a_{n-1}x^{n-1} +...
  33. K

    Is this textbook example incorrect?

    Homework Statement Homework Equations I got 4.5*10^22 /m^3 using the exact numbers that they used... which gives 4.5*10^16 /cm^3Is there some intermediate step which was not shown? ie. the numerical answer given by the equation is in some other unit which was converted to /m^3? The Attempt...
  34. G

    Calculating Specific Charge: U-238 Example

    Hi all, I am having trouble understanding how to calculate specific charge. I know that it is charge/mass. But what charge are they referring to? For instance an atom may be charged + or - and may not be charged at all. In that instance are we referring to the extra charge that exceeds the...
  35. J

    MHB Continuous Example: Weierstrass Function

    An example of an absolutely continuous f: [0,1] -> ℝ with infinitely many points at which f is not differentiable? Now what I had in mind was weierstrass function which says that f(x) = Sum (n=0 to infinity) of 1/2^n cos(3^n x) and is continuous everywhere but the derivative exists nowhere...
  36. A

    Need a real life example that satisfies the property?

    I was solving a question which is the following : Give examples of 3 sets W,X,Y such that W ε X and X ε Y but W doesn't ε Y . I solved the question by taking the following 3 sets: W = {1,2} X = { 7 , 8 , W} Y = { 3 , 4 , X} looking it from the theory point of you I find that W is not...
  37. ArcanaNoir

    Show this function is associative (or provide a counter example)

    Homework Statement I'm trying to show that f(x,y)=x\sqrt{1+y^2}+y\sqrt{1+x^2} is associative, or provide a counter example. (All variables are real numbers.)Homework Equations The Attempt at a Solution I have it down to needing to show that...
  38. A

    Practical Examples of RK4 Method for Second Order Differential Equations

    Hello, I need some examples of practical second order differential equation that can be solved by Runge kutta method. I tried searching on net but couldn't find a satisfying answer. Please help.. Thanks in advance
  39. A

    Example to make clear the difference between specific intensity and fl

    hello I amm trying to understand the difference between flux and specific intensity of radiation. I understand that one is dependent on distance the other is not, but can you make it more tangible with an example?
  40. E

    Example of x0 in the kinematic equation for displacement

    In the kinematic equation x = x0 + v0 * t + .5 * a * t^2, can someone give me an example in which x0 has a value that is not zero?
  41. fluidistic

    Self-adjointness of H, particular example

    Hi guys, I don't really know how to explain my question... I've heard my professor saying something like "for ##\hat H## to be self-adjoint, Psi and its first derivative with respect to x must be absolutely continuous." However when I consider the problem of the particle in a box, the fact...
  42. S

    Griffiths example no. 5.11 w×r switch from cartesian to spherical

    I am pretty much satisfied with the example of a rotating shell example 5.11 pg 367 griffiths electrodynamics.on many ocassions he chooses cartesian coordinates before integration (see 5.10 too) , integrates and finds w×r along y direction .then he manipulates w×r, and writes it down in...
  43. P

    An example of a series that diverges and exhibits no pattern?

    Hi I was hoping someone could provide me with a couple examples of series that exhibit no pattern. In my course we only cover divergence that involves the limit tending to infinity or oscillation. My textbook informs me that in some rare cases no pattern may be exhibited, but doesn't list any...
  44. S

    Example: intersection of compact sets which is NOT compact

    Homework Statement Let S = {(a,b) : 0 < a < b < 1 } Union {R} be a base for a topology. Find subsets M_1 and M_2 which are compact in this topology but whose intersection is not compact. Homework Equations The Attempt at a Solution I'm not even sure what it means for an element of S to be...
  45. D

    Understanding pressure with barometer as example

    In a barometer where a tube filled with mercury is inverted in dish filled with mercury, the mercury in the tube is suspended/rises to 760 mm mark. I read this is due to pressure of weight of mercury being equal to pressure of atmosphere. My question is that, if i were to take the tube out...
  46. E

    A physical example approximating the idealized situation

    From Quantum Physics of Atoms, Molecules, Solids, Nuclei, and Particles, Eisberg-Resnick: "A physical example approximating the idealized situation represented by these wave functions would be a proton moving in a highly monoenergetic beam emerging from a cyclotron. Such beams are used to...
  47. dexterdev

    How do PLL work (for example 565 IC)

    Hi PF, PLL was always a beast for me to tame. I lost a job bcoz of PLL question in interview. I wanted to know what a PLL is, how it works and what is it for etc? At least can one suggest easy tutorials pdf or good links , books etc. -Devanand T
  48. Saitama

    Understanding Spring Length in the Center-of-Mass Frame

    This isn't an homework question. I am trying to understand a solved example in my book. I have attached the solved example. I am stuck at the point when it says that the instantaneous length of the spring is ##r_a-r_b-l=r_a'-r_b'-l##. I can't figure out how the author got the RHS of the...
  49. L

    Testing Need electronics example problems

    Anyone know of any websites or books that have lots of electronics example problems? I'm in an Electronics for Scientists class and the book has zero examples it goes through to show you how to apply the stuff it tells you about in the chapters. The teacher doesn't go through any examples...
  50. S

    Griffiths - example 5.5 Electrodynamics - Calculate B Field

    Homework Statement Greetings, In Griffiths, Introduction to Electrodynamics, example 5.5 (page 216), calculating the B field a distance “S” away from a current carrying wire. l' (dl’) is the horizontal current carry wire – will be segmented to dl’ tan(\theta) = \frac{l’}{s} In the next...
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