2021年2月11日木曜日

Binomial theorem

Orientalism is no formula. It is often mysticism of numbers. We can see algorism, but nobody knows where it comes from. Chinese blocks such as 一、二、三 are well known. Constructors gather and pile them. You still see their temples. Wood is vanishing ironically.
Polynomial keeps expanding, but there is a pattern. You keep adding numbers infinitely. We often see it naturally in the modern age.
x+y=1C0*x^0*y+1C1*x*y^0=x+y

(x+y)^2=2C0*x^0*y^2+2C1*x*y+2C2*x^2*y^0=x^2+2xy+y^2

(x+y)^3=3C0*x^0*y^3+3C1*x*y^2+3C2*x^2*y+3C3*x^3*y^0=x^3+3x*y^2+3x^2*y+y^3

(x+y)^4=4C0*x^0*y^4+4C1*x*y^3+4C2*x^2*y^2+4C3*x^3*y+4C4*x^4*y^0=x^4+4x*y^3+6x^2*y^2+4x^3*y+y^4


1 1
1 2 1
1 3 3 1
1 4 6 4 1

We know that this is convergence.

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