multinomial theorem
theorem about how to expand a power of a sum in terms of powers of the terms in that sum. It is the generalization of the binomial theorem to polynomials
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multinomial theorem
Summary
multinomial theorem is a theorem[1]. It ranks in the top 10% of theorem entities by monthly Wikipedia readership (257 views/month).[2]
Key Facts
- multinomial theorem's instance of is recorded as theorem[3].
- Isaac Newton is named after multinomial theorem[4].
- multinomial theorem's part of is recorded as list of theorems[5].
- multinomial theorem's Freebase ID is recorded as /m/02tz24[6].
- multinomial theorem's described by source is recorded as Otto's encyclopedia[7].
- multinomial theorem's Encyclopædia Britannica Online ID is recorded as topic/multinomial-theorem[8].
- multinomial theorem's defining formula is recorded as (x_1 + \cdots + x_m)^n = \sum_{k_1+\cdots+k_m=n} {n \choose k_1, \ldots, k_m} \prod_{t=1}^m x_t^{k_t}[9].
- multinomial theorem's MathWorld ID is recorded as MultinomialSeries[10].
- multinomial theorem's maintained by WikiProject is recorded as WikiProject Mathematics[11].
- multinomial theorem's Microsoft Academic ID is recorded as 159911449[12].
- multinomial theorem's Brilliant Wiki ID is recorded as multinomial-theorem[13].
- multinomial theorem's Brilliant Wiki ID is recorded as jee-multinomial-theorem[14].
- multinomial theorem's ProofWiki ID is recorded as Multinomial_Theorem[15].
- multinomial theorem's in defining formula is recorded as x_m[16].
- multinomial theorem's in defining formula is recorded as n[17].
- multinomial theorem's in defining formula is recorded as k_m[18].
- multinomial theorem's in defining formula is recorded as t[19].
- multinomial theorem's in defining formula is recorded as m[20].
- multinomial theorem's PlanetMath ID is recorded as MultinomialTheorem[21].
- multinomial theorem's PlanetMath ID is recorded as MultinomialTheoremProof[22].
Why It Matters
multinomial theorem ranks in the top 10% of theorem entities by monthly Wikipedia readership (257 views/month).[2] It has Wikipedia articles in 18 language editions, a strong signal of global cultural recognition.[23] It is known by 18 alternative names across languages and contexts.[24]