Monday, March 18, 2024

An approximate expression

 For very large values of k, the following is approximately true

Hope you like it.

Have a nice day !!

The best Sigma and product equivalence

 This one is the best sigma product equivalence

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Sigma and Product equivalence

 Here is an expression for sigma product equivalence

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A deep desire

 There was a deep desire to make binomial sort of expression with combination(2n,n). I have fulfilled the desire now.

Here is the formula

Here are the Wolfram Alpha screenshots to confirm the above expression


Have a nice day !!

Saturday, March 16, 2024

combination(2n,n) from consecutive numbers

I have managed to get combination(2n,n) from consecutive numbers. Here is the formula

Here are the Wolfram screenshots to confirm the above.


So what do we have

1. Consecutive numbers form as sigma gives constants and other numbers.

2. consecutive numbers in products gives combination(2n,n)

3, combination(2n,n) gives constants and other expressions

4. consecutive numbers in another form gives rise to binomials.

5. binomials of form from above gives approximations and other results.

That's all folks. Planning to give up mathematics endeavor from now onwards. Nothing more is left out. Knitted a good theory in above.

I shall check Academia app and try and look for mathematics of Gauss, Euler, Ramanujan and Abel.

My good wishes. Have a nice day !!

Friday, March 15, 2024

Very English Expression - Part 2


 The timing of the LHS and RHS matches in both the cases. And the results can be simple.

Thursday, March 14, 2024