The combination formula binomial(n,r) is now made continuous. This means that one need not go back and forth or up and down but keep moving ahead.
Here is the formula and an example with it.
That is why binomial distribution are so natural. It is continuous.
I feel ecstatic. I hope you like the expression.
Below is the Wolfram Alpha screenshots for binomial(7,2) and binomial(8,3)
Have a nice day !!
Right from my childhood I would wonder why there is no formula for a^n-b^n and a^n+b^n.
I have fulfilled this dream of mine yesterday. It took me whole Sunday to do that. 😄. My mathematical prowess is weak. But my intuitions are okay, I guess.
Here are the formulas.
They are not exactly a^n-b^n and a^n+b^n. But the values can be computed.
Have a nice day, guys !!
Here are two more binomial results
And the Wolfram Alpha results to confirm they are correct
My three consecutive number model fetch all the major constants.
I hope you like the expressions. Have a nice day !!
