Sakamoto (@rendondaguost) 's Twitter Profile
Sakamoto

@rendondaguost

🎙 #SpacesHost Army Veteran 🇺🇸 | #Bitcoin Miner | #dev Node Operator BTC class of 2011, Software Engineer Student 🛜 / Computer Science

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calendar_today30-08-2011 16:21:57

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Tivadar Danka (@tivadardanka) 's Twitter Profile Photo

One of my favorite mathematical proofs is the derivation of the binomial coefficient formula via Taylor polynomials. The underlying method connects two seemingly unrelated fields: calculus and combinatorics. Here is what polynomials can do when it comes to counting things.

One of my favorite mathematical proofs is the derivation of the binomial coefficient formula via Taylor polynomials.

The underlying method connects two seemingly unrelated fields: calculus and combinatorics.

Here is what polynomials can do when it comes to counting things.
Tivadar Danka (@tivadardanka) 's Twitter Profile Photo

Why is the binomial theorem true? Because the product of polynomials is obtained by multiplying every term with every term. Thus, since there are n over k ways we can select the x terms, the coefficient of xᵏ in the product is n over k.

Why is the binomial theorem true? Because the product of polynomials is obtained by multiplying every term with every term.

Thus, since there are n over k ways we can select the x terms, the coefficient of xᵏ in the product is n over k.
ThePrimeagen (@theprimeagen) 's Twitter Profile Photo

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hinata (@hinatamotivates) 's Twitter Profile Photo

Be delusional. Think delusional. Dream unrealistically. Every world-changing idea once sounded impossible, until someone refused to think realistically.