Recent content by Yunjia

  1. Y

    Graduate How do we eliminate the existance of luminiferous aether?

    According to Maxwell's equation, the speed of light, ##C_0 = \frac{1}{\sqrt{\epsilon_0\mu_0}}##, is a constant regarding to some form of medium, called luminiferous aether. Shortly after the death of Maxwell, Michelson-Morley Experiment shows that the speed of light is constant regarding to the...
  2. Y

    Graduate Difference between continuity and uniform continuity

    The defition of uniformly continuous is perplexing for me. Is it possible for you to illustrate it with a proof about a function which is not uniformly continuous but continuous on a set so that I can compare the two? Thank you.
  3. Y

    Graduate Difference between continuity and uniform continuity

    I noticed that uniform continuity is defined regardless of the choice of the value of independent variable, reflecting a function's property on an interval. However, if on a continuous interval, the function is continuous on every point. It seems that the function on that interval must be...
    • Yunjia
    • Thread
    • Continuity Continuous Continuous functions Difference Uniform Uniform continuity
    • Replies: 12
    • Forum: Calculus
  4. Y

    Graduate Nonlinear transform can separate function composition?

    I am solving a nonlinear ODE in the form of Newton's Second Law. In the equation, there is a Heaviside Theta Function of the function which I am solving (##\theta (x(t)##). Since it is quite troublesome to have both the left side of the ODE and the imput of the ODE to contain function of unknown...
  5. Y

    Equal Slopes in PV Diagram: A Theoretical Possibility?

    Hello. I am Yunjia who is a physics student. I am quite interested in theoretical approaches and mathematics. Whenever I go through some solving, I feel great pleasure. And I am still learning physics. Therefore, please forgive me if I make stupid mistakes in the future. I am really pleasant to...