Transformations Definition and 863 Threads

  1. A

    Understanding Lorentz Transformations: A Derivation for A-Level Students

    Hi , I'd like to know if anybody could help me understand the following: I was following the following derivation of the Lorentz transformations (http://vishnu.mth.uct.ac.za/omei/gr/chap1/node4.html) and i managed to understand everything except possibly the most crucial step...how does one get...
  2. W

    Mathematica Lorentz Transformations Help Mathematica

    Ok I need some help. I have. t=\frac{t_0}{\sqrt{1-\frac{v^2}{c^2}}} and i rearrange to get: v=\sqrt{c^2(1-\frac{t_0^2}{t^2})} Ok I am setting C=1 tnot = 518400 t = 4.7304 *10^17 as you can imagine my answer i know will be .999999999999 with a lot of 9'sV. The problem is...
  3. M

    How Do Transformations Affect Logarithmic Graphs?

    We have just recently been doing transformations of sin and cos graphs, but we must find out transformations of logarithm graphs. A typical log function could be log (x). What i want to know is, when you change the base, what would happen to the graph, when you put a number out the front...
  4. T

    Time dependent transformations

    Hey people, I just finished reading a chapter in a book on quantum mechanics that has deeply disturbed me. The chapter was about symmetry in quantum mechanics. It was divided in two basic parts: time dependent and time independent transformations. Time independent transformations were...
  5. P

    Is L a Linear Transformation on the Space of Differentiable Functions?

    I'm kind of stuck with the xf(0), hope this is the right place for this question? let L(f) = 2Df - xf(0) is L a linear transformation on the space of differentiable functions? thanks for your help Philip
  6. D

    Is T a Linear Transformation from V to R1?

    I'd like to check my proof. It seems easy enough, but I'd like to make sure that I'm not missing anything: If V is the space of all continuous functions on [0,1] and if Tf = integral of f(x) from 0 to 1 for f in V, show that T is a linear transformation From V into R1. Like I said the...
  7. D

    Lorentz Transformations Are Wrong

    Something has me puzzled about the theory of relativity. At time 0, a photon is emitted from the origin of a rectangular coordinate system. At time t, the photon is at position x, on the positive x axis. Therefore in amount of time t-0=t, the photon has traveled a distance of x. The speed...
  8. A

    What exactly are Lorentz transformations?

    Hey guys What exactly are the Lorentz transformations? In the "Was Einstein a genius" thread, it looks like the transformations were known before Einstein had SR/GR?
  9. K

    Fourier and Laplace transformations

    Im sorry. I am really new to this. Whats the Difference between FT and LT ?
  10. W

    Change of variables - transformations

    im working on these, and I am supposed to find the image of a set under a given transformation. can someone please explain to me a good way of doing this?
  11. T

    Can Polynomials Satisfy the Equation xf''(x) - f'(x) = g(x)?

    Let g(x) belonging to Pn-1(R) be an arbiitrary polynomial of degree n-1 or less. Show that there exists a polynomial f(x) belonging to Pn(R) such that xf''(x)-f'(x)=g(x)" I interpreted this question as having to prove the linear transformation T: Pn(R) --> Pn-1(R) where f(x) |-->...
  12. B

    Definition of a vector using transformations

    In the "intro to differential forms" thread by lethe, Super Mentor Tom defines a vector as something that transforms under rotation (multiplication by an orthogonal matrix) and parity (reflection through a mirror) in a certain way. I'm currently reading "Introduction to Vector and Tensor...
  13. S

    Finding the Transformation Matrix for Linear Transformations in R^3

    In a vector space R^3, is given a transformation A with a subscript A(x1,x2,x3)=(2*x1+x2, x1+x2+2*x3, -x2+x3). Linear transformation B has in the basis; (1,1,1), (1,0,1), (1,-1,0) a matrix T: [-1 2 3] [ 1 1 0]...
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