binomial theorem

Summary

binomial theorem is a theorem^[1]. It ranks in the top 0.77% of theorem entities by monthly Wikipedia readership (1,122 views/month, #10 of 1,306).^[2]

Key Facts

• binomial theorem's image is recorded as Binomial expansion visualisation.svg^[3].
• binomial theorem's instance of is recorded as theorem^[4].
• binomial theorem's instance of is recorded as formula^[5].
• binomial is named after binomial theorem^[6].
• Isaac Newton is named after binomial theorem^[7].
• Al-Karaji is named after binomial theorem^[8].
• binomial theorem's GND ID is recorded as 4703915-2^[9].
• binomial theorem's NDL Authority ID is recorded as 00568502^[10].
• binomial theorem's part of is recorded as list of theorems^[11].
• binomial theorem's Commons category is recorded as Binomial theorem^[12].
• binomial theorem's Freebase ID is recorded as /m/01hc3^[13].
• binomial theorem's described by source is recorded as Encyclopedic Lexicon^[14].
• binomial theorem's described by source is recorded as Brockhaus and Efron Encyclopedic Dictionary^[15].
• binomial theorem's described by source is recorded as Small Brockhaus and Efron Encyclopedic Dictionary^[16].
• binomial theorem's described by source is recorded as Great Soviet Encyclopedia (1926–1947)^[17].
• binomial theorem's described by source is recorded as Otto's encyclopedia^[18].
• binomial theorem's Encyclopædia Britannica Online ID is recorded as topic/binomial-theorem^[19].
• binomial theorem's Stack Exchange tag is recorded as https://stackoverflow.com/tags/binomial-theorem^[20].
• binomial theorem's defining formula is recorded as (x+y)^n = {n \choose 0}x^n y^0 + {n \choose 1}x^{n-1}y^1 + {n \choose 2}x^{n-2}y^2 + \cdots + {n \choose n-1}x^1 y^{n-1} + {n \choose n}x^0 y^n^[21].
• binomial theorem's studied by is recorded as algebra^[22].
• binomial theorem's BabelNet ID is recorded as 00010510n^[23].
• binomial theorem's MathWorld ID is recorded as BinomialTheorem^[24].
• binomial theorem's Great Russian Encyclopedia Online ID is recorded as 2281218^[25].
• binomial theorem's Quora topic ID is recorded as Binomial-Theorem^[26].
• binomial theorem's JSTOR topic ID is recorded as binomial-theorem^[27].

Body

Works and Contributions

Things named for binomial theorem include binomial transform^[28], a sequence transformation^[29].

Why It Matters

binomial theorem ranks in the top 0.77% of theorem entities by monthly Wikipedia readership (1,122 views/month, #10 of 1,306).^[2] It has Wikipedia articles in 29 language editions, a strong signal of global cultural recognition.^[30] It is known by 67 alternative names across languages and contexts.^[31]

Entities named for it include binomial transform^[28], a sequence transformation^[29].