Cauchy–Schwarz inequality

Summary

Cauchy–Schwarz inequality is a theorem^[1]. It ranks in the top 0.61% of theorem entities by monthly Wikipedia readership (1,167 views/month, #8 of 1,306).^[2]

Key Facts

• Cauchy–Schwarz inequality is credited with the discovery of Viktor Bunyakovsky^[3].
• Cauchy–Schwarz inequality's instance of is recorded as theorem^[4].
• Cauchy–Schwarz inequality's instance of is recorded as inequality^[5].
• Augustin-Louis Cauchy is named after Cauchy–Schwarz inequality^[6].
• Hermann Schwarz is named after Cauchy–Schwarz inequality^[7].
• Viktor Bunyakovsky is named after Cauchy–Schwarz inequality^[8].
• Cauchy–Schwarz inequality's subclass of is recorded as triangle inequality theorem^[9].
• Cauchy–Schwarz inequality's Freebase ID is recorded as /m/09hpm^[10].
• Cauchy–Schwarz inequality's Gran Enciclopèdia Catalana ID is recorded as 0061469^[11].
• Cauchy–Schwarz inequality's Encyclopædia Britannica Online ID is recorded as topic/Cauchy-Schwarz-inequality^[12].
• Cauchy–Schwarz inequality's different from is recorded as Cauchy's estimate^[13].
• Cauchy–Schwarz inequality's different from is recorded as Cauchy–Schwarz inequality for sums^[14].
• Cauchy–Schwarz inequality's defining formula is recorded as |\langle \mathbf{u},\mathbf{v}\rangle| ^2 \leq \langle \mathbf{u},\mathbf{u}\rangle \cdot \langle \mathbf{v},\mathbf{v}\rangle^[15].
• Cauchy–Schwarz inequality's studied by is recorded as multilinear algebra^[16].
• Cauchy–Schwarz inequality's studied by is recorded as Euclidean geometry^[17].
• Cauchy–Schwarz inequality's MathWorld ID is recorded as SchwarzsInequality^[18].
• Cauchy–Schwarz inequality's JSTOR topic ID is recorded as cauchy-schwarz-inequality^[19].
• Cauchy–Schwarz inequality's nLab ID is recorded as Cauchy–Schwarz inequality^[20].
• Cauchy–Schwarz inequality's maintained by WikiProject is recorded as WikiProject Mathematics^[21].
• Cauchy–Schwarz inequality's Microsoft Academic ID is recorded as 184701930^[22].
• Cauchy–Schwarz inequality's Brilliant Wiki ID is recorded as cauchy-schwarz-inequality^[23].
• Cauchy–Schwarz inequality's ProofWiki ID is recorded as Cauchy-Bunyakovsky-Schwarz_Inequality^[24].
• Cauchy–Schwarz inequality's Online PWN Encyclopedia ID is recorded as 3883636^[25].
• Cauchy–Schwarz inequality's Encyclopedia of Mathematics article ID is recorded as Cauchy_Schwarz_inequality^[26].
• Cauchy–Schwarz inequality's generalization of is recorded as Cauchy–Schwarz inequality for sums^[27].

Body

Works and Contributions

Cauchy–Schwarz inequality is credited with the discovery of Viktor Bunyakovsky^[3].

Why It Matters

Cauchy–Schwarz inequality ranks in the top 0.61% of theorem entities by monthly Wikipedia readership (1,167 views/month, #8 of 1,306).^[2] It has Wikipedia articles in 28 language editions, a strong signal of global cultural recognition.^[28] It is known by 77 alternative names across languages and contexts.^[29]