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A useful inequality encountered in many different settings, such as linear algebra, analysis, probability theory, vector algebra and other areas. It is considered to be one of the most important inequalities in all of mathematics

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  • mathematischer Satz (de)
  • a useful inequality encountered in many different settings, such as linear algebra, analysis, probability theory, vector algebra and other areas. It is considered to be one of the most important inequalities in all of mathematics (en)
  • Bất đẳng thức Bunyakovski (vi)
  • ανισότητα για χώρους με εσωτερικό γινόμενο (el)
  • disuguaglianza matematica (it)
  • epäyhtälö (fi)
  • inégalité d'algèbre bilinéaire (fr)
  • nierówność w matematyce na sumach lub wektorach (pl)
  • Pertidaksamaan yang digunakan dalam banyak pengaturan berbeda, seperti aljabar linier, analisis, teori probabilitas, aljabar vektor, dan bidang lainnya. Ini dianggap sebagai salah satu pertidaksamaan yang paling penting (in)
  • связывает норму и скалярное произведение векторов в евклидовом или гильбертовом пространстве, иначе - неравенство треугольника для нормы (ru)
  • математическо неравенство (bg)
  • 在許多不同的設置中遇到的有用的不等式,例如線性代數,分析,概率論,向量代數和其他領域。 它被認為是所有數學中最重要的不等式之一 (zh)
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  • Viktor Yakovlevich Bunyakovsky (en)
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  • Augustin-Louis Cauchy (en)
  • Hermann Schwarz (en)
dbp:first
  • Viktor (en)
  • Hermann (en)
  • Augustin-Louis (en)
  • E. D. (en)
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  • C/c020880 (en)
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  • Schwarz (en)
  • Solomentsev (en)
  • Bunyakovsky (en)
  • Cauchy (en)
dbp:mathStatement
  • For reals (en)
  • For a 2-positive map between C*-algebras, for all in its domain, (en)
  • If is a unital positive map, then for every normal element in its domain, we have and (en)
  • If is a positive linear functional on a C*-algebra then for all (en)
  • Let and be arbitrary vectors in an inner product space over the scalar field where is the field of real numbers or complex numbers Then with in the if and only if and are linearly dependent. Moreover, if and then (en)
dbp:name
  • Callebaut's Inequality (en)
  • Cauchy–Schwarz inequality (en)
  • Kadison–Schwarz inequality (en)
  • Cauchy–Schwarz inequality for positive functionals on C*-algebras (en)
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  • Modified Schwarz inequality for 2-positive maps (en)
  • Named after Richard Kadison (en)
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  • Cauchy inequality (en)
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  • yes (en)
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  • 1821 (xsd:integer)
  • 1859 (xsd:integer)
  • 1888 (xsd:integer)
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gold:hypernym
rdfs:label
  • Cauchy–Schwarz inequality (en)
  • Desigualtat de Cauchy-Schwarz (ca)
  • متباينة كوشي-شفارز (ar)
  • Cauchyho–Schwarzova nerovnost (cs)
  • Ανισότητα Κωσύ-Σβαρτς (el)
  • Cauchy-Schwarzsche Ungleichung (de)
  • Desigualdad de Cauchy-Bunyakovsky-Schwarz (es)
  • Pertidaksamaan Cauchy–Schwarz (in)
  • Disuguaglianza di Cauchy-Schwarz (it)
  • コーシー=シュワルツの不等式 (ja)
  • Inégalité de Cauchy-Schwarz (fr)
  • 코시-슈바르츠 부등식 (ko)
  • Ongelijkheid van Cauchy-Schwarz (nl)
  • Desigualdade de Cauchy-Schwarz (pt)
  • Nierówność Cauchy’ego-Schwarza (pl)
  • Cauchy–Schwarz olikhet (sv)
  • Неравенство Коши — Буняковского (ru)
  • Нерівність Коші — Буняковського (uk)
  • 柯西-施瓦茨不等式 (zh)
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