Matches in Wikidata for { <http://www.wikidata.org/entity/Q606254> ?p ?o ?g. }
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- Q606254 description "matematikai állítás" @default.
- Q606254 description "mathematischer Satz" @default.
- Q606254 description "theorem" @default.
- Q606254 description "tvrzení o řešitelnosti konečné soustavy lineárních rovnic, případně nerovnic" @default.
- Q606254 name "Bổ đề Farkas" @default.
- Q606254 name "Farkas' lemma" @default.
- Q606254 name "Farkas-lemma" @default.
- Q606254 name "Farkasova věta" @default.
- Q606254 name "Lemat Farkasa" @default.
- Q606254 name "Lemma von Farkas" @default.
- Q606254 name "lemme de Farkas" @default.
- Q606254 name "lemo de Farkas" @default.
- Q606254 name "Лема Фаркаша" @default.
- Q606254 name "Лемма Фаркаша" @default.
- Q606254 name "הלמה של פרקש" @default.
- Q606254 name "ファルカスの補題" @default.
- Q606254 name "퍼르커시 보조정리" @default.
- Q606254 type Item @default.
- Q606254 label "Bổ đề Farkas" @default.
- Q606254 label "Farkas' lemma" @default.
- Q606254 label "Farkas-lemma" @default.
- Q606254 label "Farkasova věta" @default.
- Q606254 label "Lemat Farkasa" @default.
- Q606254 label "Lemma von Farkas" @default.
- Q606254 label "lemme de Farkas" @default.
- Q606254 label "lemo de Farkas" @default.
- Q606254 label "Лема Фаркаша" @default.
- Q606254 label "Лемма Фаркаша" @default.
- Q606254 label "הלמה של פרקש" @default.
- Q606254 label "ファルカスの補題" @default.
- Q606254 label "퍼르커시 보조정리" @default.
- Q606254 prefLabel "Bổ đề Farkas" @default.
- Q606254 prefLabel "Farkas' lemma" @default.
- Q606254 prefLabel "Farkas-lemma" @default.
- Q606254 prefLabel "Farkasova věta" @default.
- Q606254 prefLabel "Lemat Farkasa" @default.
- Q606254 prefLabel "Lemma von Farkas" @default.
- Q606254 prefLabel "lemme de Farkas" @default.
- Q606254 prefLabel "lemo de Farkas" @default.
- Q606254 prefLabel "Лема Фаркаша" @default.
- Q606254 prefLabel "Лемма Фаркаша" @default.
- Q606254 prefLabel "הלמה של פרקש" @default.
- Q606254 prefLabel "ファルカスの補題" @default.
- Q606254 prefLabel "퍼르커시 보조정리" @default.
- Q606254 P138 Q606254-2e50ad39-4e6f-dceb-18cc-f5d2e2f23151 @default.
- Q606254 P2534 Q606254-66ab1b00-4252-7392-9474-a57e60ebfcf8 @default.
- Q606254 P31 Q606254-20989029-4ae2-ffa7-a752-1e04c380690b @default.
- Q606254 P366 Q606254-f7801770-46f3-e9ba-7b07-034fd67ad2f9 @default.
- Q606254 P6104 Q606254-ED7A8F75-0401-401C-BC38-85DAA386344A @default.
- Q606254 P6366 Q606254-19B86F2F-C454-48E3-BBDC-3A1E0BA9F2C0 @default.
- Q606254 P646 Q606254-637CCD22-7C58-486D-9485-3CC72FB0FED1 @default.
- Q606254 P6366 27155235 @default.
- Q606254 P138 Q326466 @default.
- Q606254 P2534 "<math xmlns="http://www.w3.org/1998/Math/MathML" display="block" alttext="{\displaystyle {\begin{aligned}\forall A\in &\mathbb {R} ^{m\times n},\forall \mathbf {b} \in \mathbb {R} ^{n},{\text{exactly one of the following is true:}}\\&{\begin{aligned}&\exists \mathbf {x} \in \mathbb {R} ^{n}:\mathbf {Ax} =\mathbf {b} \wedge \mathbf {x} \geq 0\\&\exists \mathbf {y} \in \mathbb {R} ^{m}:\mathbf {A} ^{\top }\mathbf {y} \geq 0\wedge \mathbf {b} ^{\top }\mathbf {y} <0\end{aligned}}\end{aligned}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mtable columnalign="right left right left right left right left right left right left" rowspacing="3pt" columnspacing="0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em" displaystyle="true"> <mtr> <mtd> <mi mathvariant="normal">∀<!-- ∀ --></mi> <mi>A</mi> <mo>∈<!-- ∈ --></mo> </mtd> <mtd> <msup> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="double-struck">R</mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mi>m</mi> <mo>×<!-- × --></mo> <mi>n</mi> </mrow> </msup> <mo>,</mo> <mi mathvariant="normal">∀<!-- ∀ --></mi> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold">b</mi> </mrow> <mo>∈<!-- ∈ --></mo> <msup> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="double-struck">R</mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mi>n</mi> </mrow> </msup> <mo>,</mo> <mrow class="MJX-TeXAtom-ORD"> <mtext>exactly one of the following is true:</mtext> </mrow> </mtd> </mtr> <mtr> <mtd /> <mtd> <mrow class="MJX-TeXAtom-ORD"> <mtable columnalign="right left right left right left right left right left right left" rowspacing="3pt" columnspacing="0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em" displaystyle="true"> <mtr> <mtd /> <mtd> <mi mathvariant="normal">∃<!-- ∃ --></mi> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold">x</mi> </mrow> <mo>∈<!-- ∈ --></mo> <msup> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="double-struck">R</mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mi>n</mi> </mrow> </msup> <mo>:</mo> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold">A</mi> <mi mathvariant="bold">x</mi> </mrow> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold">b</mi> </mrow> <mo>∧<!-- ∧ --></mo> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold">x</mi> </mrow> <mo>≥<!-- ≥ --></mo> <mn>0</mn> </mtd> </mtr> <mtr> <mtd /> <mtd> <mi mathvariant="normal">∃<!-- ∃ --></mi> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold">y</mi> </mrow> <mo>∈<!-- ∈ --></mo> <msup> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="double-struck">R</mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mi>m</mi> </mrow> </msup> <mo>:</mo> <msup> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold">A</mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal">⊤<!-- ⊤ --></mi> </mrow> </msup> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold">y</mi> </mrow> <mo>≥<!-- ≥ --></mo> <mn>0</mn> <mo>∧<!-- ∧ --></mo> <msup> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold">b</mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal">⊤<!-- ⊤ --></mi> </mrow> </msup> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold">y</mi> </mrow> <mo><</mo> <mn>0</mn> </mtd> </mtr> </mtable> </mrow> </mtd> </mtr> </mtable> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\begin{aligned}\forall A\in &\mathbb {R} ^{m\times n},\forall \mathbf {b} \in \mathbb {R} ^{n},{\text{exactly one of the following is true:}}\\&{\begin{aligned}&\exists \mathbf {x} \in \mathbb {R} ^{n}:\mathbf {Ax} =\mathbf {b} \wedge \mathbf {x} \geq 0\\&\exists \mathbf {y} \in \mathbb {R} ^{m}:\mathbf {A} ^{\top }\mathbf {y} \geq 0\wedge \mathbf {b} ^{\top }\mathbf {y} <0\end{aligned}}\end{aligned}}}</annotation> </semantics> </math>" @default.
- Q606254 P31 Q65943 @default.
- Q606254 P366 Q202843 @default.
- Q606254 P6104 Q8487137 @default.
- Q606254 P6366 "27155235" @default.
- Q606254 P646 "/m/07gy1f" @default.