User talk:Wcherowi

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Re: Kepler Fraud

Thanks for revising my edit instead of deleting it. :) https://en.wikipedia.org/wiki/Kepler's_laws_of_planetary_motion

Edit integration by substitution

You reverted two edits I made on the article on Integration by substitution. I believe the edits were correct and would like to see if we can agree.

In the statement of a theorem concerning subsitution in definite integrals and its proof, the formulation "if u = φ(x)" occurred. I submit that even if we may say something like that when explaining to beginner students, it actually makes no sense. The integral ${\textstyle \int _{a}^{b}f(\varphi (x))\varphi '(x)\,dx}$ is some number by the definition of the Riemann integral, and equally ${\textstyle \int _{\varphi (a)}^{\varphi (b)}f(u)\,du}$, being the integral over the function f on the interval ${\textstyle [\varphi (a),\varphi (b)]}$, is some number. The content of the theorem is then that these numbers happen to be equal. Note that we could equally well state

$\int _{a}^{b}f(\varphi (x))\varphi '(x)\,dx=\int _{\varphi (a)}^{\varphi (b)}f(x)\,dx.$

Would you explain that by saying ${\textstyle \varphi (x)=x}$?

MathHisSci (talk) 20:45, 27 October 2020 (UTC)

Permutations with repetition

It is a very tortured way and also it is stated when it is said there "in general they are not permutations" Check the formula k^n as is all the possible tuples made with the elements of a second set. The decimal numeric system is an example: you have a set of 10 symbols 0..9 so all the possible 3-tuples from the set 0,1,2,...,9 are 000,001,002,003,010,011,012,...,999 so 10^3 tuples is only the plural of tuple: ordered list. The least to do to clarify is change tuples to tuples of set S Orendona (talk) 22:26, 1 November 2020 (UTC)

Permutations with repetition

The problem is that Permutations with repetition are not permutations. That also is stated in the article, It is a probability scalar number as it is used Orendona (talk) 11:23, 4 November 2020 (UTC)

https://www.ck12.org/probability/permutations-with-repetition/lesson/Permutations-with-Repetition-BSC-PST/#:~:text=There%20is%20a%20subset%20of,of%20objects%20that%20are%20identical. https://brilliant.org/wiki/permutations-with-repetition/ https://www.mathsisfun.com/combinatorics/combinations-permutations.html https://www.google.com/search?q=Permutations+with+repetition&oq=Permutations+with+repetition&aqs=chrome..69i57j0l4j69i60l3.9800j0j1&sourceid=chrome&ie=UTF-8

 — Preceding unsigned comment added by Orendona (talk • contribs) 03:54, 9 November 2020 (UTC) 

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