Recent content by Mike_bb

  1. M

    I What does equiprobable mean in the context of thermal motion?

    I had 4 semesters. Mechanics and molecular physics, electromagnetism and waves, optics and atomic physics, quantum mechanics. Yes, 8 semesters in Russian universities would be equivalent to a bachelors as in USA. I had 4 semesters. Linear algebra, analytic geometry, vector calculus/vector...
  2. M

    I What does equiprobable mean in the context of thermal motion?

    Incomplete (base course) - 4 semesters. Complete - 6-8 semesters
  3. M

    I What does equiprobable mean in the context of thermal motion?

    Complete course = base course + advanced course Complete is equivalent for "full course" in russian
  4. M

    I What does equiprobable mean in the context of thermal motion?

    Yes. In Russia in most universities incomplete course is introductory physics course. (base course)
  5. M

    I What does equiprobable mean in the context of thermal motion?

    I have university-level introductory physics course but after long break I don't remember some things.
  6. M

    I What does equiprobable mean in the context of thermal motion?

    jbriggs444, So what? Your statement "Yes, any large sample from any distribution which is symmetric about zero is overwhelmingly likely to have both positive and negative elements." contradicts with your following statements: "The probability that all elements share the same sign is one in...
  7. M

    I What does equiprobable mean in the context of thermal motion?

    jbriggs444, I agree with this statement: "Yes, any large sample from any distribution which is symmetric about zero is overwhelmingly likely to have both positive and negative elements.
  8. M

    I What does equiprobable mean in the context of thermal motion?

    jbriggs444, I opened another russian book and found there (translation): "Strictly speaking, the average value of any velocity component is zero, since it can be positive or negative with equal probability." It strange to me because I found in all sources that there are particle with positive...
  9. M

    I What does equiprobable mean in the context of thermal motion?

    jbriggs444, Ok. Is it right that if we have particle with X-component 4 then we can find particle with Y-component 4? (Google AI says it's true) You wrote: "If we choose a frame of reference where the total momentum is zero (i.e. the wind is not blowing) and assume a gas where all the...
  10. M

    I What does equiprobable mean in the context of thermal motion?

    I'm integrating over continuous distribution. (components of velocities on X-axis) The result is ##\frac{kT}{m}##. This result coincide with ##<V_x^2>## (finite large sample). How is it possible? jbriggs444, Am I right that for every particle with positive component on X-axis we can find...
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    I What does equiprobable mean in the context of thermal motion?

    Herman Trivilino, I read now on Wiki how to derive expression for ##<V_x^2>## using integral. But I'm confused because this integral is taking from ##-\infty## to ##+\infty##. We have already found out that it can be possible that symmetry of components isn't needed. As is mentioned above: for...
  12. M

    I What does equiprobable mean in the context of thermal motion?

    For example, ##N=10^{23}##
  13. M

    I What does equiprobable mean in the context of thermal motion?

    Yes! I meant that these numbers are x- and y-components.
  14. M

    I What does equiprobable mean in the context of thermal motion?

    Ok. But I don't understand again. I think that each direction is not specific and particles move randomly in any direction. But how components of velocity vectors depend on it? I can't imagine it.
  15. M

    I What does equiprobable mean in the context of thermal motion?

    Ok. How can we infer that ##<V_x^2> = <V_y^2>## if we don't know all components of velocities?
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