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==Re: Determinant 1==
Sorry about revising the revision on the Modular Group page; i hit submit without adding a comment; the reason unit determinant differs from determinant 1 is that in a ring (such as the ring of all 2x2 matrices, or in this case Z), a unit is anything invertible. In particular, the original reading could lead to an interpretation that the determinant was 1 or -1, which if you remove the identification criterion, reads as a quotient of GL2Z rather than SL2Z. The example I gave had determinant 1, but I meant it to have determinant -1, whoops!

Sorry if this isn't the place to chat with a user, I'm not super well-versed with this :)


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https://en.wikipedia.org/wiki/Kepler's_laws_of_planetary_motion
https://en.wikipedia.org/wiki/Kepler's_laws_of_planetary_motion


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==[[Permutations#Permutations_with_repetition|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''' [[User:Orendona|Orendona]] ([[User talk:Orendona|talk]]) 22:26, 1 November 2020 (UTC)
==[[Permutations#Permutations_with_repetition|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 [[User:Orendona|Orendona]] ([[User talk: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




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Latest revision as of 19:35, 10 August 2024

Re: Determinant 1

[edit]

Sorry about revising the revision on the Modular Group page; i hit submit without adding a comment; the reason unit determinant differs from determinant 1 is that in a ring (such as the ring of all 2x2 matrices, or in this case Z), a unit is anything invertible. In particular, the original reading could lead to an interpretation that the determinant was 1 or -1, which if you remove the identification criterion, reads as a quotient of GL2Z rather than SL2Z. The example I gave had determinant 1, but I meant it to have determinant -1, whoops!

Sorry if this isn't the place to chat with a user, I'm not super well-versed with this :)

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[edit]

Information icon Hello. Regarding the recent revert you made to Fibonacci number: you may already know about them, but you might find Wikipedia:Template messages/User talk namespace useful. After a revert, these can be placed on the user's talk page to let them know you considered their edit inappropriate, and also direct new users towards the sandbox. They can also be used to give a stern warning to a vandal when they've been previously warned. Thank you.

Re: Kepler Fraud

[edit]

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

Happy First Edit Day!

[edit]
Hey, Wcherowi. I'd like to wish you a wonderful First Edit Day on behalf of the Wikipedia Birthday Committee!Have a great day!

Brachy08 (Talk) 09:59, 10 August 2023 (UTC)[reply]

Happy First Edit Day!

[edit]