<http://dbpedia.org/resource/Cramer\u0027s_rule>	<http://www.w3.org/1999/02/22-rdf-syntax-ns#type>	<http://dbpedia.org/class/yago/Communication100033020> .
<http://dbpedia.org/resource/Cramer\u0027s_rule>	<http://dbpedia.org/ontology/wikiPageLength>	"28335"^^<http://www.w3.org/2001/XMLSchema#nonNegativeInteger> .
<http://dbpedia.org/resource/Cramer\u0027s_rule>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Indeterminate_system> .
<http://dbpedia.org/resource/Cramer\u0027s_rule>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Matrix_(mathematics)> .
<http://dbpedia.org/resource/Cramer\u0027s_rule>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Gabriel_Cramer> .
<http://dbpedia.org/resource/Cramer\u0027s_rule>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Inconsistent_equations> .
<http://dbpedia.org/resource/Cramer\u0027s_rule>	<http://www.w3.org/2002/07/owl#sameAs>	<http://he.dbpedia.org/resource/\u05E0\u05D5\u05E1\u05D7\u05EA_\u05E7\u05E8\u05DE\u05E8> .
<http://dbpedia.org/resource/Cramer\u0027s_rule>	<http://www.w3.org/2002/07/owl#sameAs>	<http://hy.dbpedia.org/resource/\u053F\u0580\u0561\u0574\u0565\u0580\u056B_\u0574\u0565\u0569\u0578\u0564> .
<http://dbpedia.org/resource/Cramer\u0027s_rule>	<http://www.w3.org/2000/01/rdf-schema#comment>	"\u514B\u83B1\u59C6\u6CD5\u5219\uFF08\u82F1\u8A9E\uFF1ACramer's rule / formula\uFF0C\u53F0\u6E7E\u4F5C\u514B\u62C9\u746A\u516C\u5F0F\uFF09\u662F\u4E00\u500B\u7DDA\u6027\u4EE3\u6578\u4E2D\u7684\u5B9A\u7406\uFF0C\u7528\u884C\u5217\u5F0F\u4F86\u8A08\u7B97\u51FA\u7DDA\u6027\u7B49\u5F0F\u7D44\u4E2D\u7684\u6240\u6709\u89E3\u3002\u9019\u500B\u5B9A\u7406\u56E0\u52A0\u767E\u5217\u00B7\u514B\u840A\u59C6\uFF081704\u5E74 - 1752\u5E74\uFF09\u7684\u5353\u8D8A\u4F7F\u7528\u800C\u547D\u540D\u3002\u5728\u8A08\u7B97\u4E0A\uFF0C\u4E26\u975E\u6700\u6709\u6548\u7387\u4E4B\u6CD5\uFF0C\u56E0\u800C\u5728\u5F88\u591A\u689D\u7B49\u5F0F\u7684\u60C5\u6CC1\u4E2D\u6C92\u6709\u5EE3\u6CDB\u61C9\u7528\u3002\u4E0D\u904E\uFF0C\u9019\u4E00\u5B9A\u7406\u5728\u7406\u8AD6\u6027\u65B9\u9762\u5341\u5206\u6709\u6548\u3002"@zh .
<http://dbpedia.org/resource/Cramer\u0027s_rule>	<http://purl.org/dc/terms/subject>	<http://dbpedia.org/resource/Category:1750_in_science> .
<http://dbpedia.org/resource/Cramer\u0027s_rule>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Category:1750_in_science> .
<http://dbpedia.org/resource/Cramer\u0027s_rule>	<http://dbpedia.org/ontology/abstract>	"La regla de Cramer es un teorema del \u00E1lgebra lineal que da la soluci\u00F3n de un sistema lineal de ecuaciones en t\u00E9rminos de determinantes. Recibe este nombre en honor a Gabriel Cramer (1704-1752), quien public\u00F3 la regla en su Introduction \u00E0 l'analyse des lignes courbes alg\u00E9briques de 1750, aunque Colin Maclaurin tambi\u00E9n public\u00F3 el m\u00E9todo en su Treatise of Geometry de 1748 (y probablemente sab\u00EDa del m\u00E9todo desde 1729). \u200B\u200B La regla de Cramer es de importancia te\u00F3rica porque da una expresi\u00F3n expl\u00EDcita para la soluci\u00F3n del sistema. Sin embargo, para sistemas de ecuaciones lineales de m\u00E1s de tres ecuaciones su aplicaci\u00F3n para la resoluci\u00F3n del mismo resulta excesivamente costosa: computacionalmente, es ineficiente para grandes matrices y por ello no es usado en aplicaciones pr\u00E1cticas que pueden implicar muchas ecuaciones. Sin embargo, como no es necesario pivotar matrices, es m\u00E1s eficiente que la eliminaci\u00F3n gaussiana para matrices peque\u00F1as, particularmente cuando son usadas operaciones SIMD. Si es un sistema de ecuaciones, es la matriz de coeficientes del sistema, es el vector columna de las inc\u00F3gnitas, y es el vector columna de los t\u00E9rminos independientes, entonces la soluci\u00F3n al sistema se presenta as\u00ED: Donde es la matriz resultante de reemplazar la j-\u00E9sima columna de por el vector columna .H\u00E1gase notar que para que el sistema sea compatible determinado, el determinante de la matriz ha de ser no nulo."@es .
<http://dbpedia.org/resource/Cramer\u0027s_rule>	<http://dbpedia.org/ontology/abstract>	"\u0641\u064A \u0627\u0644\u062C\u0628\u0631 \u0627\u0644\u062E\u0637\u064A\u060C \u0642\u0627\u0639\u062F\u0629 \u0643\u0631\u0627\u0645\u0631 (\u0628\u0627\u0644\u0625\u0646\u062C\u0644\u064A\u0632\u064A\u0629: Cramer's rule)\u200F \u0647\u064A \u0645\u0628\u0631\u0647\u0646\u0629 \u062A\u0639\u0637\u064A \u062D\u0644\u062D\u0644\u0629 \u0644\u0646\u0638\u0627\u0645 \u0645\u0639\u0627\u062F\u0644\u0627\u062A \u062E\u0637\u064A\u0629 (\u0623\u0648 \u0645\u0627 \u0642\u062F \u064A\u062F\u0639\u0649 \u062C\u0645\u0644\u0629 \u0627\u0644\u0645\u0639\u0627\u062F\u0644\u0627\u062A \u0627\u0644\u062E\u0637\u064A\u0629) \u0628\u062F\u0644\u0627\u0644\u0629 \u0627\u0644\u0645\u062D\u062F\u062F\u0627\u062A.\u0633\u0645\u064A\u062A \u0647\u0630\u0647 \u0627\u0644\u0642\u0627\u0639\u062F\u0629 \u0647\u0643\u0630\u0627 \u0646\u0633\u0628\u0629 \u0625\u0644\u0649 \u0639\u0627\u0644\u0645 \u0627\u0644\u0631\u064A\u0627\u0636\u064A\u0627\u062A \u0627\u0644\u0633\u0648\u064A\u0633\u0631\u064A \u063A\u0627\u0628\u0631\u064A\u064A\u0644 \u0643\u0631\u0627\u0645\u0631 (1704-1752)\u0645.\u062D\u0633\u0627\u0628\u064A\u0627 \u062A\u0639\u062A\u0628\u0631 \u0647\u0630\u0647 \u0627\u0644\u0637\u0631\u064A\u0642\u0629 \u063A\u064A\u0631 \u0641\u0639\u0627\u0644\u0629 \u062C\u062F\u0627 \u0644\u0630\u0644\u0643 \u0641\u0647\u064A \u0646\u0627\u062F\u0631\u0629 \u0627\u0644\u0627\u0633\u062A\u062E\u062F\u0627\u0645 \u0633\u064A\u0645\u0627 \u0641\u064A \u0627\u0644\u062A\u0637\u0628\u064A\u0642\u0627\u062A \u0627\u0644\u062A\u064A \u062A\u062A\u0636\u0645\u0646 \u0627\u0644\u0639\u062F\u064A\u062F \u0645\u0646 \u0627\u0644\u0645\u0639\u0627\u062F\u0644\u0627\u062A. \u0648\u0644\u0630\u0644\u0643 \u062A\u0633\u062A\u062E\u062F\u0645 \u0637\u0631\u064A\u0642\u0629 \u063A\u0627\u0648\u0633 \u0639\u0627\u062F\u0629 \u0641\u064A \u062D\u0644 \u062C\u0645\u0644 \u0627\u0644\u0645\u0639\u0627\u062F\u0644\u0627\u062A \u0627\u0644\u0645\u062A\u0639\u062F\u062F\u0629 \u0628\u062F\u0644\u0627 \u0645\u0646 \u0642\u0627\u0639\u062F\u0629 \u0643\u0631\u0627\u0645\u0631."@ar .
<http://dbpedia.org/resource/Cramer\u0027s_rule>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Commutative_ring> .
<http://dbpedia.org/resource/Cramer\u0027s_rule>	<http://dbpedia.org/ontology/wikiPageExternalLink>	<https://web.archive.org/web/20140122000255/http:/www.elektro-energetika.cz/calculations/linrov.php%3Flanguage=english> .
<http://dbpedia.org/resource/Cramer\u0027s_rule>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Real_number> .
<http://dbpedia.org/resource/Cramer\u0027s_rule>	<http://www.w3.org/2000/01/rdf-schema#label>	"Cramer's rule"@en .
<http://dbpedia.org/resource/Cramer\u0027s_rule>	<http://www.w3.org/2002/07/owl#sameAs>	<http://is.dbpedia.org/resource/Regla_Cramers> .
<http://dbpedia.org/resource/Cramer\u0027s_rule>	<http://dbpedia.org/ontology/abstract>	"De regel van Cramer (naar Gabriel Cramer, 1704 - 1752) in de lineaire algebra is een formule voor de oplossingen van een stelsel lineaire vergelijkingen. Met de regel kunnen de oplossingen van een oplosbaar stelsel direct berekend worden, zonder dat de bijbehorende matrix eerst ge\u00EFnverteerd wordt. Als het oplosbare lineaire stelsel van vergelijkingen met onbekenden gegeven wordt door: , waarin dus de -matrix inverteerbaar is, dan is er precies \u00E9\u00E9n oplossing , die gegeven wordt door: . De oplossing kan berekend worden zonder expliciet de inverse van te bepalen met de regel van Cramer: Daarin is de matrix die ontstaat door de -de kolom van te vervangen door de vector en staat voor determinant."@nl .
<http://dbpedia.org/resource/Cramer\u0027s_rule>	<http://www.w3.org/2002/07/owl#sameAs>	<http://gl.dbpedia.org/resource/Regra_de_Cramer> .
<http://dbpedia.org/resource/Cramer\u0027s_rule>	<http://www.w3.org/2002/07/owl#sameAs>	<http://ko.dbpedia.org/resource/\uD06C\uB77C\uBA54\uB974_\uBC95\uCE59> .
<http://dbpedia.org/resource/Cramer\u0027s_rule>	<http://www.w3.org/1999/02/22-rdf-syntax-ns#type>	<http://dbpedia.org/class/yago/CognitiveFactor105686481> .
<http://dbpedia.org/resource/Cramer\u0027s_rule>	<http://www.w3.org/2002/07/owl#sameAs>	<http://fr.dbpedia.org/resource/R\u00E8gle_de_Cramer> .
<http://dbpedia.org/resource/Cramer\u0027s_rule>	<http://www.w3.org/2002/07/owl#sameAs>	<http://lv.dbpedia.org/resource/Kr\u0101mera_formulas> .
<http://dbpedia.org/resource/Cramer\u0027s_rule>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Unit_(ring_theory)> .
<http://dbpedia.org/resource/Cramer\u0027s_rule>	<http://www.w3.org/2000/01/rdf-schema#label>	"\u514B\u840A\u59C6\u6CD5\u5247"@zh .
<http://dbpedia.org/resource/Cramer\u0027s_rule>	<http://www.w3.org/1999/02/22-rdf-syntax-ns#type>	<http://dbpedia.org/class/yago/Cognition100023271> .
<http://dbpedia.org/resource/Cramer\u0027s_rule>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/File:Cramer.jpg> .
<http://dbpedia.org/resource/Cramer\u0027s_rule>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Cavalieri\u0027s_principle> .
<http://dbpedia.org/resource/Cramer\u0027s_rule>	<http://www.w3.org/2000/01/rdf-schema#label>	"Cramerovo pravidlo"@cs .
<http://dbpedia.org/resource/Cramer\u0027s_rule>	<http://dbpedia.org/ontology/abstract>	"\u7DDA\u578B\u4EE3\u6570\u5B66\u306B\u304A\u3051\u308B\u30AF\u30E9\u30E1\u30EB\u306E\u6CD5\u5247\u3042\u308B\u3044\u306F\u30AF\u30E9\u30E1\u30EB\u306E\u516C\u5F0F\uFF08\u30AF\u30E9\u30E1\u30EB\u306E\u3053\u3046\u3057\u304D\u3001\u82F1: Cramer's rule; \u30AF\u30E9\u30E1\u30EB\u306E\u898F\u5247\uFF09\u306F\u3001\u672A\u77E5\u6570\u306E\u6570\u3068\u65B9\u7A0B\u5F0F\u306E\u672C\u6570\u304C\u4E00\u81F4\u3057\u3001\u304B\u3064\u4E00\u610F\u7684\u306B\u89E3\u3051\u308B\u7DDA\u578B\u65B9\u7A0B\u5F0F\u7CFB\u306E\u89E3\u3092\u660E\u793A\u7684\u306B\u66F8\u304D\u8868\u3059\u884C\u5217\u5F0F\u516C\u5F0F\u3067\u3042\u308B\u3002\u3053\u308C\u306F\u3001\u65B9\u7A0B\u5F0F\u306E\u89E3\u3092\u6B63\u65B9\u4FC2\u6570\u884C\u5217\u3068\u305D\u306E\u5404\u5217\u30D9\u30AF\u30C8\u30EB\u3092\u4E00\u3064\u305A\u3064\u65B9\u7A0B\u5F0F\u306E\u53F3\u8FBA\u306E\u30D9\u30AF\u30C8\u30EB\u3067\u7F6E\u304D\u63DB\u3048\u3066\u5F97\u3089\u308C\u308B\u884C\u5217\u306E\u884C\u5217\u5F0F\u3067\u8868\u3059\u3082\u306E\u306B\u306A\u3063\u3066\u3044\u308B\u3002\u540D\u79F0\u306F\u30AC\u30D6\u30EA\u30A8\u30EB\u30FB\u30AF\u30E9\u30FC\u30E1\u30EB (1704\u20131752) \u306B\u56E0\u3080\u3082\u306E\u3067\u3001\u30AF\u30E9\u30FC\u30E1\u30EB\u306F\u4EFB\u610F\u500B\u306E\u672A\u77E5\u6570\u306B\u95A2\u3059\u308B\u6CD5\u5247\u30921750\u5E74\u306B\u8A18\u3057\u3066\u3044\u308B\u3002\u306A\u304A\u7279\u5225\u306E\u5834\u5408\u306B\u9650\u308C\u3070\u3001\u30B3\u30EA\u30F3\u30FB\u30DE\u30AF\u30ED\u30FC\u30EA\u30F3\u304C1748\u5E74\u306B\u516C\u8868\u3057\u3066\u3044\u308B\uFF08\u307E\u305F\u3001\u6050\u3089\u304F\u306F\u305D\u308C\u30921729\u5E74\u3054\u308D\u306B\u306F\u3059\u3067\u306B\u77E5\u3063\u3066\u3044\u305F\u3068\u601D\u308F\u308C\u308B\uFF09\u3002"@ja .
<http://dbpedia.org/resource/Cramer\u0027s_rule>	<http://www.w3.org/2000/01/rdf-schema#comment>	"Cramers regel \u00E4r en sats inom linj\u00E4r algebra, vilken ger l\u00F6sningen till ett linj\u00E4rt ekvationssystem med hj\u00E4lp av determinanter. Satsen \u00E4r namngiven efter Gabriel Cramer (1704\u20131752). Ber\u00E4kningsm\u00E4ssigt \u00E4r metoden ineffektiv d\u00E5 flera ekvationsevalueringar \u00E4r n\u00F6dv\u00E4ndiga. Den \u00E4r d\u00E4rf\u00F6r s\u00E4llan anv\u00E4nd inom praktiska till\u00E4mpningar. Men satsen har ett teoretiskt v\u00E4rde d\u00E5 metoden ger ett explicit uttryck f\u00F6r l\u00F6sningar till ekvationssystem. Ett ekvationssystem representeras i matrisnotation som d\u00E4r \u00E4r en inverterbar kvadratisk matris och vektorn \u00E4r en kolonnvektor. Enligt Cramers sats \u00E4r"@sv .
<http://dbpedia.org/resource/Cramer\u0027s_rule>	<http://dbpedia.org/ontology/abstract>	"Dalam aljabar linear, kaidah Cramer adalah rumus yang dapat digunakan untuk menyelesaikan sistem persamaan linear dengan banyak persamaan sama dengan banyak variabel, dan berlaku ketika sistem tersebut memiliki solusi yang tunggal. Rumus ini menyatakan solusi dengan menggunakan determinan matriks koefisien (dari sistem persamaan) dan determinan matriks lain yang diperoleh dengan mengganti salah satu kolom matriks koefisien dengan vektor yang berada sebelah kanan persamaan. Metode ini dinamai dari matematikawan Swiss Gabriel Cramer (1704\u20131752), yang pada tahun 1750 menerbitkan kaidah ini untuk sebarang banyaknya variabel, walau Colin Maclaurin juga menerbitkan kasus khusus dari kaidah ini pada tahun 1748 (dan mungkin ia sudah mengetahuinya sejak 1729). Kaidah Cramer yang digunakan dengan naif (apa adanya) tidak efisien secara komputasi untuk sistem dengan lebih dari dua atau tiga persamaan. Untuk kasus dengan n persamaan dalam n variabel, rumus ini perlu menghitung n + 1 nilai determinan, sedangkan eliminasi Gauss menghasilkan solusi yang sama dengan yang setara dengan menghitung satu nilai determinan. Kaidah Cramer juga dapat tidak stabil secara numerik bahkan untuk sistem ukuran 2\u00D72. Namun, belakangan ini berhasil dibuktikan bahwa kaidah Cramer dapat diterapkan dalam kompleksitas waktu O(n3). Hal ini membuatnya dapat disandingkan dengan metode-metode yang lebih umum untuk menyelesaikan sistem persamaan linear (seperti eliminasi Gauss), dan juga dapat disandingkan dalam hal kestabilan numerik pada kebanyakan kasus."@in .
<http://dbpedia.org/resource/Cramer\u0027s_rule>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Determinant> .
<http://dbpedia.org/resource/Cramer\u0027s_rule>	<http://www.w3.org/2002/07/owl#sameAs>	<http://it.dbpedia.org/resource/Regola_di_Cramer> .
<http://dbpedia.org/resource/Cramer\u0027s_rule>	<http://www.w3.org/2000/01/rdf-schema#comment>	"\u039F \u039A\u03B1\u03BD\u03CC\u03BD\u03B1\u03C2 \u03C4\u03BF\u03C5 \u039A\u03C1\u03AC\u03BC\u03B5\u03C1 \u03B5\u03AF\u03BD\u03B1\u03B9 \u03B8\u03B5\u03CE\u03C1\u03B7\u03BC\u03B1 \u03C3\u03C4\u03B7 \u03B3\u03C1\u03B1\u03BC\u03BC\u03B9\u03BA\u03AE \u03AC\u03BB\u03B3\u03B5\u03B2\u03C1\u03B1, \u03C0\u03BF\u03C5 \u03B4\u03AF\u03BD\u03B5\u03B9 \u03C4\u03B7 \u03BB\u03CD\u03C3\u03B7 \u03C3\u03B5 \u03AD\u03BD\u03B1 \u03C3\u03CD\u03C3\u03C4\u03B7\u03BC\u03B1 \u03B3\u03C1\u03B1\u03BC\u03BC\u03B9\u03BA\u03CE\u03BD \u03B5\u03BE\u03B9\u03C3\u03CE\u03C3\u03B5\u03C9\u03BD \u03BC\u03B5 \u03B1\u03C1\u03B9\u03B8\u03BC\u03CC \u03B1\u03B3\u03BD\u03CE\u03C3\u03C4\u03C9\u03BD \u03AF\u03C3\u03BF \u03BC\u03B5 \u03C4\u03BF\u03BD \u03B1\u03C1\u03B9\u03B8\u03BC\u03CC \u03B5\u03BE\u03B9\u03C3\u03CE\u03C3\u03B5\u03C9\u03BD. \u03A4\u03BF \u03C3\u03CD\u03C3\u03C4\u03B7\u03BC\u03B1 \u03B3\u03C1\u03AC\u03C6\u03B5\u03C4\u03B1\u03B9 \u03BC\u03B5 \u03C4\u03B7 \u03BC\u03BF\u03C1\u03C6\u03AE \u03C0\u03B9\u03BD\u03AC\u03BA\u03C9\u03BD \u03BA\u03B1\u03B9 \u03BB\u03CD\u03BD\u03B5\u03C4\u03B1\u03B9 \u03BC\u03B5 \u03C4\u03B7 \u03B2\u03BF\u03AE\u03B8\u03B5\u03B9\u03B1 \u03BF\u03C1\u03AF\u03B6\u03BF\u03C5\u03C3\u03C9\u03BD. \u0388\u03C7\u03B5\u03B9 \u03C0\u03AC\u03C1\u03B5\u03B9 \u03C4\u03BF \u03CC\u03BD\u03BF\u03BC\u03B1 \u03C4\u03BF\u03C5 \u03B1\u03C0\u03CC \u03C4\u03BF\u03BD \u0395\u03BB\u03B2\u03B5\u03C4\u03CC \u03BC\u03B1\u03B8\u03B7\u03BC\u03B1\u03C4\u03B9\u03BA\u03CC (1704-1752), \u03BF \u03BF\u03C0\u03BF\u03AF\u03BF\u03C2 \u03B4\u03B9\u03B1\u03C4\u03CD\u03C0\u03C9\u03C3\u03B5 \u03B1\u03C5\u03C4\u03CC\u03BD \u03C4\u03BF\u03BD \u03BA\u03B1\u03BD\u03CC\u03BD\u03B1 \u03C4\u03BF 1750 \u03C3\u03C4o \u03B2\u03B9\u03B2\u03BB\u03AF\u03BF \u03C4\u03BF\u03C5 '\u0399ntroduction \u00E1 l\u2019analyse des lignes courbes alg\u00E9briques'. \u0395\u03BD\u03C4\u03BF\u03CD\u03C4\u03BF\u03B9\u03C2, \u03BF \u03BA\u03B1\u03BD\u03CC\u03BD\u03B1\u03C2 \u03B1\u03C5\u03C4\u03CC\u03C2 \u03B5\u03AF\u03C7\u03B5 \u03B5\u03BA\u03B4\u03BF\u03B8\u03B5\u03AF \u03C0\u03C1\u03C9\u03C4\u03CD\u03C4\u03B5\u03C1\u03B1 \u03C4\u03BF 1748 \u03B1\u03C0\u03CC \u03C4\u03BF\u03BD \u03C3\u03C4\u03BF \u03B2\u03B9\u03B2\u03BB\u03AF\u03BF \u03C4\u03BF\u03C5 \u03BA\u03B1\u03B9 \u03C0\u03B9\u03C3\u03C4\u03B5\u03CD\u03B5\u03C4\u03B1\u03B9 \u03CC\u03C4\u03B9 \u03BF \u039C\u03B1\u03BA\u03BB\u03CC\u03C1\u03B9\u03BD \u03B3\u03BD\u03CE\u03C1\u03B9\u03B6\u03B5 \u03B3\u03B9\u03B1 \u03C4\u03B7 \u03BC\u03AD\u03B8\u03BF\u03B4\u03BF \u03B1\u03C5\u03C4\u03AE \u03B1\u03C0\u03CC \u03C4\u03BF 1729."@el .
<http://dbpedia.org/resource/Cramer\u0027s_rule>	<http://dbpedia.org/ontology/wikiPageID>	"166008"^^<http://www.w3.org/2001/XMLSchema#integer> .
<http://dbpedia.org/resource/Cramer\u0027s_rule>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Linear_algebra> .
<http://dbpedia.org/resource/Cramer\u0027s_rule>	<http://www.w3.org/2000/01/rdf-schema#comment>	"Cramerovo pravidlo je algoritmus umo\u017E\u0148uj\u00EDc\u00ED nalezen\u00ED \u0159e\u0161en\u00ED soustavy line\u00E1rn\u00EDch algebraick\u00FDch rovnic. Roku 1750 ho uve\u0159ejnil Gabriel Cramer, u\u017E p\u0159edt\u00EDm v\u0161ak toto pravidlo nalezl Leibniz."@cs .
<http://dbpedia.org/resource/Cramer\u0027s_rule>	<http://www.w3.org/1999/02/22-rdf-syntax-ns#type>	<http://dbpedia.org/class/yago/Relation100031921> .
<http://dbpedia.org/resource/Cramer\u0027s_rule>	<http://www.w3.org/1999/02/22-rdf-syntax-ns#type>	<http://dbpedia.org/class/yago/WikicatEquations> .
<http://dbpedia.org/resource/Cramer\u0027s_rule>	<http://dbpedia.org/ontology/abstract>	"La r\u00E8gle de Cramer (ou m\u00E9thode de Cramer) est un th\u00E9or\u00E8me en alg\u00E8bre lin\u00E9aire qui donne la solution d'un syst\u00E8me de Cramer, c'est-\u00E0-dire un syst\u00E8me d'\u00E9quations lin\u00E9aires avec autant d'\u00E9quations que d'inconnues et dont le d\u00E9terminant de la matrice de coefficients est non nul, sous forme de quotients de d\u00E9terminants. En calcul, la m\u00E9thode est moins efficace que la m\u00E9thode de r\u00E9solution de Gauss pour des grands syst\u00E8mes (\u00E0 partir de quatre \u00E9quations) dont les coefficients dans le premier membre sont explicitement donn\u00E9s. Cependant, elle est d'importance th\u00E9orique, car elle donne une expression explicite pour la solution du syst\u00E8me, et elle s'applique dans des syst\u00E8mes o\u00F9 par exemple les coefficients du premier membre d\u00E9pendent de param\u00E8tres, ce qui peut rendre la m\u00E9thode de Gauss inapplicable. Elle est nomm\u00E9e d'apr\u00E8s le math\u00E9maticien suisse Gabriel Cramer (1704-1752)."@fr .
<http://dbpedia.org/resource/Cramer\u0027s_rule>	<http://www.w3.org/1999/02/22-rdf-syntax-ns#type>	<http://dbpedia.org/class/yago/PhysicalEntity100001930> .
<http://dbpedia.org/resource/Cramer\u0027s_rule>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Vector_field> .
<http://dbpedia.org/resource/Cramer\u0027s_rule>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Christoffel_symbols> .
<http://dbpedia.org/resource/Cramer\u0027s_rule>	<http://www.w3.org/2000/01/rdf-schema#label>	"Cramers regel"@sv .
<http://dbpedia.org/resource/Cramer\u0027s_rule>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Numerically_unstable> .
<http://dbpedia.org/resource/Cramer\u0027s_rule>	<http://www.w3.org/2002/07/owl#sameAs>	<http://el.dbpedia.org/resource/\u039A\u03B1\u03BD\u03CC\u03BD\u03B1\u03C2_\u03C4\u03BF\u03C5_\u039A\u03C1\u03AC\u03BC\u03B5\u03C1> .
<http://dbpedia.org/resource/Cramer\u0027s_rule>	<http://dbpedia.org/property/wikiPageUsesTemplate>	<http://dbpedia.org/resource/Template:Wikibooks> .
<http://dbpedia.org/resource/Cramer\u0027s_rule>	<http://www.w3.org/2000/01/rdf-schema#label>	"Kaidah Cramer"@in .
<http://dbpedia.org/resource/Cramer\u0027s_rule>	<http://dbpedia.org/property/wikiPageUsesTemplate>	<http://dbpedia.org/resource/Template:Short_description> .
<http://dbpedia.org/resource/Cramer\u0027s_rule>	<http://www.w3.org/2000/01/rdf-schema#comment>	"Wzory Cramera \u2013 twierdzenie okre\u015Blaj\u0105ce posta\u0107 rozwi\u0105za\u0144 oznaczonego uk\u0142adu r\u00F3wna\u0144 liniowych o wsp\u00F3\u0142czynnikach z ustalonego cia\u0142a (np. liczb rzeczywistych). Sformu\u0142owane zosta\u0142o przez szwajcarskiego matematyka Gabriela Cramera w 1750 roku."@pl .
<http://dbpedia.org/resource/Cramer\u0027s_rule>	<http://www.w3.org/2002/07/owl#sameAs>	<http://az.dbpedia.org/resource/Kramer_\u00FCsulu> .
<http://dbpedia.org/resource/Cramer\u0027s_rule>	<http://dbpedia.org/ontology/abstract>	"\u041C\u0435\u0442\u043E\u0434 \u041A\u0440\u0430\u043C\u0435\u0440\u0430 (\u043F\u0440\u0430\u0432\u0438\u043B\u043E \u041A\u0440\u0430\u043C\u0435\u0440\u0430) \u2014 \u0441\u043F\u043E\u0441\u0456\u0431 \u0440\u043E\u0437\u0432'\u044F\u0437\u0430\u043D\u043D\u044F \u043A\u0432\u0430\u0434\u0440\u0430\u0442\u043D\u0438\u0445 \u0441\u0438\u0441\u0442\u0435\u043C \u043B\u0456\u043D\u0456\u0439\u043D\u0438\u0445 \u0430\u043B\u0433\u0435\u0431\u0440\u0430\u0457\u0447\u043D\u0438\u0445 \u0440\u0456\u0432\u043D\u044F\u043D\u044C \u0456\u0437 \u043D\u0435\u043D\u0443\u043B\u044C\u043E\u0432\u0438\u043C \u0432\u0438\u0437\u043D\u0430\u0447\u043D\u0438\u043A\u043E\u043C \u043E\u0441\u043D\u043E\u0432\u043D\u043E\u0457 \u043C\u0430\u0442\u0440\u0438\u0446\u0456 (\u043F\u0440\u0438 \u0446\u044C\u043E\u043C\u0443 \u0434\u043B\u044F \u0442\u0430\u043A\u0438\u0445 \u0440\u0456\u0432\u043D\u044F\u043D\u044C \u0456\u0441\u043D\u0443\u0454 \u0454\u0434\u0438\u043D\u0438\u0439 \u0440\u043E\u0437\u0432'\u044F\u0437\u043E\u043A). \u041F\u0440\u0430\u0432\u0438\u043B\u043E \u041A\u0440\u0430\u043C\u0435\u0440\u0430 \u0432\u0438\u0440\u0430\u0436\u0430\u0454 \u0440\u043E\u0437\u0432'\u044F\u0437\u043E\u043A \u0447\u0435\u0440\u0435\u0437 \u0432\u0438\u0437\u043D\u0430\u0447\u043D\u0438\u043A\u0438 \u043A\u0432\u0430\u0434\u0440\u0430\u0442\u043D\u043E\u0457 \u043C\u0430\u0442\u0440\u0438\u0446\u0456 \u043A\u043E\u0435\u0444\u0456\u0446\u0456\u0454\u043D\u0442\u0456\u0432 \u0442\u0430 \u043C\u0430\u0442\u0440\u0438\u0446\u044C, \u043E\u0442\u0440\u0438\u043C\u0430\u043D\u0438\u0445 \u0448\u043B\u044F\u0445\u043E\u043C \u0437\u0430\u043C\u0456\u043D\u0438 \u043E\u0434\u043D\u043E\u0433\u043E \u0441\u0442\u043E\u0432\u043F\u0446\u044F \u043C\u0430\u0442\u0440\u0438\u0446\u0456 \u043A\u043E\u0435\u0444\u0456\u0446\u0456\u0454\u043D\u0442\u0456\u0432 \u0432\u0435\u043A\u0442\u043E\u0440-\u0441\u0442\u043E\u0432\u043F\u0446\u0435\u043C \u043F\u0440\u0430\u0432\u043E\u0457 \u0447\u0430\u0441\u0442\u0438\u043D\u0438 \u0440\u0456\u0432\u043D\u044F\u043D\u043D\u044F. \u0426\u0435\u0439 \u043C\u0435\u0442\u043E\u0434 \u043D\u0430\u0437\u0432\u0430\u043D\u0438\u0439 \u043D\u0430 \u0447\u0435\u0441\u0442\u044C \u0413\u0430\u0431\u0440\u0456\u0454\u043B\u044F \u041A\u0440\u0430\u043C\u0435\u0440\u0430 (1704\u20141752), \u044F\u043A\u0438\u0439 \u0443 1750 \u0440. \u043F\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u0438\u0432 \u0439\u043E\u0433\u043E \u0434\u043B\u044F \u0434\u043E\u0432\u0456\u043B\u044C\u043D\u043E\u0457 \u043A\u0456\u043B\u044C\u043A\u043E\u0441\u0442\u0456 \u043D\u0435\u0432\u0456\u0434\u043E\u043C\u0438\u0445. \u041A\u043E\u043B\u0456\u043D \u041C\u0430\u043A\u043B\u043E\u0440\u0435\u043D \u0442\u0430\u043A\u043E\u0436 \u043F\u0443\u0431\u043B\u0456\u043A\u0443\u0432\u0430\u0432 \u043E\u0441\u043E\u0431\u043B\u0438\u0432\u0456 \u0432\u0438\u043F\u0430\u0434\u043A\u0438 \u0446\u044C\u043E\u0433\u043E \u043F\u0440\u0430\u0432\u0438\u043B\u0430 \u0432 1748 \u0440. (\u0456, \u043C\u043E\u0436\u043B\u0438\u0432\u043E, \u0437\u043D\u0430\u0432 \u043F\u0440\u043E \u043D\u044C\u043E\u0433\u043E \u0449\u0435 \u0432 1729 \u0440.). \u041F\u0440\u0430\u0432\u0438\u043B\u043E \u041A\u0440\u0430\u043C\u0435\u0440\u0430, \u0440\u0435\u0430\u043B\u0456\u0437\u043E\u0432\u0430\u043D\u0435 \u043D\u0430\u0457\u0432\u043D\u0438\u043C \u0448\u043B\u044F\u0445\u043E\u043C, \u0454 \u043D\u0435\u0435\u0444\u0435\u043A\u0442\u0438\u0432\u043D\u0438\u043C \u0434\u043B\u044F \u0441\u0438\u0441\u0442\u0435\u043C, \u0449\u043E \u0441\u043A\u043B\u0430\u0434\u0430\u044E\u0442\u044C\u0441\u044F \u0431\u0456\u043B\u044C\u0448\u0435 \u043D\u0456\u0436 \u0437 \u0434\u0432\u043E\u0445 \u0430\u0431\u043E \u0442\u0440\u044C\u043E\u0445 \u0440\u0456\u0432\u043D\u044F\u043D\u044C. \u0423 \u0432\u0438\u043F\u0430\u0434\u043A\u0443 \u0440\u0456\u0432\u043D\u044F\u043D\u044C \u0437 \u043D\u0435\u0432\u0456\u0434\u043E\u043C\u0438\u043C\u0438, \u0432\u043E\u043D\u043E \u043F\u043E\u0442\u0440\u0435\u0431\u0443\u0454 \u043E\u0431\u0447\u0438\u0441\u043B\u0435\u043D\u043D\u044F \u0432\u0438\u0437\u043D\u0430\u0447\u043D\u0438\u043A\u0456\u0432, \u0442\u043E\u0434\u0456 \u044F\u043A \u043C\u0435\u0442\u043E\u0434 \u0413\u0430\u0443\u0441\u0430 \u0434\u0430\u0454 \u0440\u0435\u0437\u0443\u043B\u044C\u0442\u0430\u0442 \u0456\u0437 \u0442\u0430\u043A\u043E\u044E \u0436 \u043E\u0431\u0447\u0438\u0441\u043B\u044E\u0432\u0430\u043B\u044C\u043D\u043E\u044E \u0441\u043A\u043B\u0430\u0434\u043D\u0456\u0441\u0442\u044E, \u044F\u043A \u0456 \u043E\u0431\u0447\u0438\u0441\u043B\u0435\u043D\u043D\u044F \u043E\u0434\u043D\u043E\u0433\u043E \u0432\u0438\u0437\u043D\u0430\u0447\u043D\u0438\u043A\u0430. \u041F\u0440\u0430\u0432\u0438\u043B\u043E \u041A\u0440\u0430\u043C\u0435\u0440\u0430 \u0442\u0430\u043A\u043E\u0436 \u043C\u043E\u0436\u0435 \u0431\u0443\u0442\u0438 \u0447\u0438\u0441\u0435\u043B\u044C\u043D\u043E \u043D\u0435\u0441\u0442\u0456\u0439\u043A\u0438\u043C \u043D\u0430\u0432\u0456\u0442\u044C \u0434\u043B\u044F \u0441\u0438\u0441\u0442\u0435\u043C . \u041E\u0434\u043D\u0430\u043A \u043D\u0435\u0449\u043E\u0434\u0430\u0432\u043D\u043E \u0439\u043E\u0433\u043E \u0431\u0443\u043B\u043E \u0440\u0435\u0430\u043B\u0456\u0437\u043E\u0432\u0430\u043D\u043E \u0437\u0430 \u043A\u0440\u043E\u043A\u0456\u0432, \u0449\u043E \u043F\u043E\u0440\u0456\u0432\u043D\u044F\u043D\u043E \u0437 \u0431\u0456\u043B\u044C\u0448 \u043F\u043E\u0448\u0438\u0440\u0435\u043D\u0438\u043C\u0438 \u043C\u0435\u0442\u043E\u0434\u0430\u043C\u0438 \u0440\u043E\u0437\u0432'\u044F\u0437\u0430\u043D\u043D\u044F \u0441\u0438\u0441\u0442\u0435\u043C \u043B\u0456\u043D\u0456\u0439\u043D\u0438\u0445 \u0440\u0456\u0432\u043D\u044F\u043D\u044C, \u0442\u0430\u043A\u0438\u043C\u0438 \u044F\u043A \u043C\u0435\u0442\u043E\u0434 \u0413\u0430\u0443\u0441\u0430 (\u0432\u0438\u043C\u0430\u0433\u0430\u0454\u0442\u044C\u0441\u044F \u0432 2,5 \u0440\u0430\u0437\u0438 \u0431\u0456\u043B\u044C\u0448\u0435 \u0430\u0440\u0438\u0444\u043C\u0435\u0442\u0438\u0447\u043D\u0438\u0445 \u043E\u043F\u0435\u0440\u0430\u0446\u0456\u0439 \u0434\u043B\u044F \u0432\u0441\u0456\u0445 \u0440\u043E\u0437\u043C\u0456\u0440\u0456\u0432 \u043C\u0430\u0442\u0440\u0438\u0446\u044C), \u0432\u0438\u044F\u0432\u043B\u044F\u0454 \u043F\u043E\u0440\u0456\u0432\u043D\u044F\u043D\u043D\u0443 \u0447\u0438\u0441\u043B\u043E\u0432\u0443 \u0441\u0442\u0456\u0439\u043A\u0456\u0441\u0442\u044C \u0443 \u0431\u0456\u043B\u044C\u0448\u043E\u0441\u0442\u0456 \u0432\u0438\u043F\u0430\u0434\u043A\u0456\u0432."@uk .
<http://dbpedia.org/resource/Cramer\u0027s_rule>	<http://www.w3.org/1999/02/22-rdf-syntax-ns#type>	<http://dbpedia.org/class/yago/Equation106669864> .
<http://dbpedia.org/resource/Cramer\u0027s_rule>	<http://dbpedia.org/property/wikiPageUsesTemplate>	<http://dbpedia.org/resource/Template:Use_American_English> .
<http://dbpedia.org/resource/Cramer\u0027s_rule>	<http://www.w3.org/2002/07/owl#sameAs>	<http://zh.dbpedia.org/resource/\u514B\u840A\u59C6\u6CD5\u5247> .
<http://dbpedia.org/resource/Cramer\u0027s_rule>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Gaussian_elimination> .
<http://dbpedia.org/resource/Cramer\u0027s_rule>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Jacobian_matrix_and_determinant> .
<http://dbpedia.org/resource/Cramer\u0027s_rule>	<http://www.w3.org/2000/01/rdf-schema#label>	"Cramersche Regel"@de .
<http://dbpedia.org/resource/Cramer\u0027s_rule>	<http://dbpedia.org/property/wikiPageUsesTemplate>	<http://dbpedia.org/resource/Template:Main_article> .
<http://dbpedia.org/resource/Cramer\u0027s_rule>	<http://dbpedia.org/ontology/abstract>	"Die Cramersche Regel oder Determinantenmethode ist eine mathematische Formel f\u00FCr die L\u00F6sung eines linearen Gleichungssystems. Sie ist bei der theoretischen Betrachtung linearer Gleichungssysteme hilfreich. F\u00FCr die Berechnung einer L\u00F6sung ist der Rechenaufwand jedoch in der Regel zu hoch, da dabei verh\u00E4ltnism\u00E4\u00DFig viele Determinanten auftreten. Deshalb kommen dazu andere Verfahren aus der numerischen Mathematik zum Einsatz. Die Cramersche Regel ist nach Gabriel Cramer benannt, der sie im Jahr 1750 ver\u00F6ffentlichte, jedoch wurde sie bereits vorher von Leibniz gefunden."@de .
<http://dbpedia.org/resource/Cramer\u0027s_rule>	<http://dbpedia.org/property/wikiPageUsesTemplate>	<http://dbpedia.org/resource/Template:Check> .
<http://dbpedia.org/resource/Cramer\u0027s_rule>	<http://dbpedia.org/ontology/abstract>	"A regra de Cramer \u00E9 um teorema em \u00E1lgebra linear, que d\u00E1 a solu\u00E7\u00E3o de um sistema de equa\u00E7\u00F5es lineares em termos de determinantes. Recebe este nome em homenagem a Gabriel Cramer (1704 - 1752). Se \u00E9 um sistema de equa\u00E7\u00F5es e inc\u00F3gnitas. (Onde \u00E9 a matriz de coeficientes do sistema e o seu determinante \u00E9 diferente de zero, \u00E9 o vetor coluna das inc\u00F3gnitas e \u00E9 o vetor coluna dos termos independentes) Ent\u00E3o , a solu\u00E7\u00E3o do sistema \u00E9 dada por: Em que Aj \u00E9 a matriz que se obt\u00E9m da matriz A substituindo a coluna j pela coluna dos termos independentes b."@pt .
<http://dbpedia.org/resource/Cramer\u0027s_rule>	<http://www.w3.org/2002/07/owl#sameAs>	<http://ta.dbpedia.org/resource/\u0B95\u0BBF\u0BB0\u0BAE\u0BB0\u0BBF\u0BA9\u0BCD_\u0BB5\u0BBF\u0BA4\u0BBF> .
<http://dbpedia.org/resource/Cramer\u0027s_rule>	<http://www.w3.org/2000/01/rdf-schema#comment>	"\u7DDA\u578B\u4EE3\u6570\u5B66\u306B\u304A\u3051\u308B\u30AF\u30E9\u30E1\u30EB\u306E\u6CD5\u5247\u3042\u308B\u3044\u306F\u30AF\u30E9\u30E1\u30EB\u306E\u516C\u5F0F\uFF08\u30AF\u30E9\u30E1\u30EB\u306E\u3053\u3046\u3057\u304D\u3001\u82F1: Cramer's rule; \u30AF\u30E9\u30E1\u30EB\u306E\u898F\u5247\uFF09\u306F\u3001\u672A\u77E5\u6570\u306E\u6570\u3068\u65B9\u7A0B\u5F0F\u306E\u672C\u6570\u304C\u4E00\u81F4\u3057\u3001\u304B\u3064\u4E00\u610F\u7684\u306B\u89E3\u3051\u308B\u7DDA\u578B\u65B9\u7A0B\u5F0F\u7CFB\u306E\u89E3\u3092\u660E\u793A\u7684\u306B\u66F8\u304D\u8868\u3059\u884C\u5217\u5F0F\u516C\u5F0F\u3067\u3042\u308B\u3002\u3053\u308C\u306F\u3001\u65B9\u7A0B\u5F0F\u306E\u89E3\u3092\u6B63\u65B9\u4FC2\u6570\u884C\u5217\u3068\u305D\u306E\u5404\u5217\u30D9\u30AF\u30C8\u30EB\u3092\u4E00\u3064\u305A\u3064\u65B9\u7A0B\u5F0F\u306E\u53F3\u8FBA\u306E\u30D9\u30AF\u30C8\u30EB\u3067\u7F6E\u304D\u63DB\u3048\u3066\u5F97\u3089\u308C\u308B\u884C\u5217\u306E\u884C\u5217\u5F0F\u3067\u8868\u3059\u3082\u306E\u306B\u306A\u3063\u3066\u3044\u308B\u3002\u540D\u79F0\u306F\u30AC\u30D6\u30EA\u30A8\u30EB\u30FB\u30AF\u30E9\u30FC\u30E1\u30EB (1704\u20131752) \u306B\u56E0\u3080\u3082\u306E\u3067\u3001\u30AF\u30E9\u30FC\u30E1\u30EB\u306F\u4EFB\u610F\u500B\u306E\u672A\u77E5\u6570\u306B\u95A2\u3059\u308B\u6CD5\u5247\u30921750\u5E74\u306B\u8A18\u3057\u3066\u3044\u308B\u3002\u306A\u304A\u7279\u5225\u306E\u5834\u5408\u306B\u9650\u308C\u3070\u3001\u30B3\u30EA\u30F3\u30FB\u30DE\u30AF\u30ED\u30FC\u30EA\u30F3\u304C1748\u5E74\u306B\u516C\u8868\u3057\u3066\u3044\u308B\uFF08\u307E\u305F\u3001\u6050\u3089\u304F\u306F\u305D\u308C\u30921729\u5E74\u3054\u308D\u306B\u306F\u3059\u3067\u306B\u77E5\u3063\u3066\u3044\u305F\u3068\u601D\u308F\u308C\u308B\uFF09\u3002"@ja .
<http://dbpedia.org/resource/Cramer\u0027s_rule>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Inverse_element> .
<http://dbpedia.org/resource/Cramer\u0027s_rule>	<http://www.w3.org/2002/07/owl#sameAs>	<http://vi.dbpedia.org/resource/Quy_t\u1EAFc_Cramer> .
<http://dbpedia.org/resource/Cramer\u0027s_rule>	<http://dbpedia.org/ontology/abstract>	"\u039F \u039A\u03B1\u03BD\u03CC\u03BD\u03B1\u03C2 \u03C4\u03BF\u03C5 \u039A\u03C1\u03AC\u03BC\u03B5\u03C1 \u03B5\u03AF\u03BD\u03B1\u03B9 \u03B8\u03B5\u03CE\u03C1\u03B7\u03BC\u03B1 \u03C3\u03C4\u03B7 \u03B3\u03C1\u03B1\u03BC\u03BC\u03B9\u03BA\u03AE \u03AC\u03BB\u03B3\u03B5\u03B2\u03C1\u03B1, \u03C0\u03BF\u03C5 \u03B4\u03AF\u03BD\u03B5\u03B9 \u03C4\u03B7 \u03BB\u03CD\u03C3\u03B7 \u03C3\u03B5 \u03AD\u03BD\u03B1 \u03C3\u03CD\u03C3\u03C4\u03B7\u03BC\u03B1 \u03B3\u03C1\u03B1\u03BC\u03BC\u03B9\u03BA\u03CE\u03BD \u03B5\u03BE\u03B9\u03C3\u03CE\u03C3\u03B5\u03C9\u03BD \u03BC\u03B5 \u03B1\u03C1\u03B9\u03B8\u03BC\u03CC \u03B1\u03B3\u03BD\u03CE\u03C3\u03C4\u03C9\u03BD \u03AF\u03C3\u03BF \u03BC\u03B5 \u03C4\u03BF\u03BD \u03B1\u03C1\u03B9\u03B8\u03BC\u03CC \u03B5\u03BE\u03B9\u03C3\u03CE\u03C3\u03B5\u03C9\u03BD. \u03A4\u03BF \u03C3\u03CD\u03C3\u03C4\u03B7\u03BC\u03B1 \u03B3\u03C1\u03AC\u03C6\u03B5\u03C4\u03B1\u03B9 \u03BC\u03B5 \u03C4\u03B7 \u03BC\u03BF\u03C1\u03C6\u03AE \u03C0\u03B9\u03BD\u03AC\u03BA\u03C9\u03BD \u03BA\u03B1\u03B9 \u03BB\u03CD\u03BD\u03B5\u03C4\u03B1\u03B9 \u03BC\u03B5 \u03C4\u03B7 \u03B2\u03BF\u03AE\u03B8\u03B5\u03B9\u03B1 \u03BF\u03C1\u03AF\u03B6\u03BF\u03C5\u03C3\u03C9\u03BD. \u0388\u03C7\u03B5\u03B9 \u03C0\u03AC\u03C1\u03B5\u03B9 \u03C4\u03BF \u03CC\u03BD\u03BF\u03BC\u03B1 \u03C4\u03BF\u03C5 \u03B1\u03C0\u03CC \u03C4\u03BF\u03BD \u0395\u03BB\u03B2\u03B5\u03C4\u03CC \u03BC\u03B1\u03B8\u03B7\u03BC\u03B1\u03C4\u03B9\u03BA\u03CC (1704-1752), \u03BF \u03BF\u03C0\u03BF\u03AF\u03BF\u03C2 \u03B4\u03B9\u03B1\u03C4\u03CD\u03C0\u03C9\u03C3\u03B5 \u03B1\u03C5\u03C4\u03CC\u03BD \u03C4\u03BF\u03BD \u03BA\u03B1\u03BD\u03CC\u03BD\u03B1 \u03C4\u03BF 1750 \u03C3\u03C4o \u03B2\u03B9\u03B2\u03BB\u03AF\u03BF \u03C4\u03BF\u03C5 '\u0399ntroduction \u00E1 l\u2019analyse des lignes courbes alg\u00E9briques'. \u0395\u03BD\u03C4\u03BF\u03CD\u03C4\u03BF\u03B9\u03C2, \u03BF \u03BA\u03B1\u03BD\u03CC\u03BD\u03B1\u03C2 \u03B1\u03C5\u03C4\u03CC\u03C2 \u03B5\u03AF\u03C7\u03B5 \u03B5\u03BA\u03B4\u03BF\u03B8\u03B5\u03AF \u03C0\u03C1\u03C9\u03C4\u03CD\u03C4\u03B5\u03C1\u03B1 \u03C4\u03BF 1748 \u03B1\u03C0\u03CC \u03C4\u03BF\u03BD \u03C3\u03C4\u03BF \u03B2\u03B9\u03B2\u03BB\u03AF\u03BF \u03C4\u03BF\u03C5 \u03BA\u03B1\u03B9 \u03C0\u03B9\u03C3\u03C4\u03B5\u03CD\u03B5\u03C4\u03B1\u03B9 \u03CC\u03C4\u03B9 \u03BF \u039C\u03B1\u03BA\u03BB\u03CC\u03C1\u03B9\u03BD \u03B3\u03BD\u03CE\u03C1\u03B9\u03B6\u03B5 \u03B3\u03B9\u03B1 \u03C4\u03B7 \u03BC\u03AD\u03B8\u03BF\u03B4\u03BF \u03B1\u03C5\u03C4\u03AE \u03B1\u03C0\u03CC \u03C4\u03BF 1729."@el .
<http://dbpedia.org/resource/Cramer\u0027s_rule>	<http://www.w3.org/2002/07/owl#sameAs>	<http://no.dbpedia.org/resource/Cramers_regel> .
<http://dbpedia.org/resource/Cramer\u0027s_rule>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Coefficient_matrix> .
<http://dbpedia.org/resource/Cramer\u0027s_rule>	<http://www.w3.org/2000/01/rdf-schema#comment>	"La regola di Cramer, o metodo di Cramer, \u00E8 un teorema di algebra lineare, che prende il nome dal matematico Gabriel Cramer, utile per risolvere un sistema di equazioni lineari usando il determinante, nel caso in cui il sistema abbia esattamente una soluzione. Come algoritmo di calcolo \u00E8 inefficiente. Pertanto, pu\u00F2 essere effettivamente utilizzato solo per risolvere sistemi di poche equazioni. Tuttavia, esso \u00E8 di grande importanza teorica in quanto d\u00E0 un'espressione esplicita per la soluzione del sistema."@it .
<http://dbpedia.org/resource/Cramer\u0027s_rule>	<http://www.w3.org/2002/07/owl#sameAs>	<https://global.dbpedia.org/id/2yh66> .
<http://dbpedia.org/resource/Cramer\u0027s_rule>	<http://www.w3.org/2000/01/rdf-schema#label>	"Wzory Cramera"@pl .
<http://dbpedia.org/resource/Cramer\u0027s_rule>	<http://www.w3.org/1999/02/22-rdf-syntax-ns#type>	<http://dbpedia.org/class/yago/MathematicalStatement106732169> .
<http://dbpedia.org/resource/Cramer\u0027s_rule>	<http://www.w3.org/2000/01/rdf-schema#comment>	"Cramerren erregela aljebra linealeko teorema bat da, zeinak ekuazio-linealen sistemei soluzioa ematen dien determinanteak erabiliz. (1704-1752) suitzar matematikariari zor dio izena, berak argitaratu baitzuen erregela 1750ean Introduction \u00E0 l'analyse des lignes courbes alg\u00E9briques (euskaraz, Lerro kurbatu aljebraikoen analisirako sarrera) lanean, alabaina, Colin MacLaurin eskoziar matematikariak lehenago argitaratu zuen erregela, 1748an, Treatise of Geometry (euskaraz, Geometriaren Tratatua) lanean eta ziurrena da jada 1729tik metodoaren berri izatea."@eu .
<http://dbpedia.org/resource/Cramer\u0027s_rule>	<http://www.w3.org/1999/02/22-rdf-syntax-ns#type>	<http://dbpedia.org/class/yago/Substance100019613> .
<http://dbpedia.org/resource/Cramer\u0027s_rule>	<http://www.w3.org/2000/01/rdf-schema#comment>	"A regra de Cramer \u00E9 um teorema em \u00E1lgebra linear, que d\u00E1 a solu\u00E7\u00E3o de um sistema de equa\u00E7\u00F5es lineares em termos de determinantes. Recebe este nome em homenagem a Gabriel Cramer (1704 - 1752). Se \u00E9 um sistema de equa\u00E7\u00F5es e inc\u00F3gnitas. (Onde \u00E9 a matriz de coeficientes do sistema e o seu determinante \u00E9 diferente de zero, \u00E9 o vetor coluna das inc\u00F3gnitas e \u00E9 o vetor coluna dos termos independentes) Ent\u00E3o , a solu\u00E7\u00E3o do sistema \u00E9 dada por: Em que Aj \u00E9 a matriz que se obt\u00E9m da matriz A substituindo a coluna j pela coluna dos termos independentes b."@pt .
<http://dbpedia.org/resource/Cramer\u0027s_rule>	<http://xmlns.com/foaf/0.1/depiction>	<http://commons.wikimedia.org/wiki/Special:FilePath/Cramer.jpg> .
<http://dbpedia.org/resource/Cramer\u0027s_rule>	<http://xmlns.com/foaf/0.1/isPrimaryTopicOf>	<http://en.wikipedia.org/wiki/Cramer\u0027s_rule> .
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<http://dbpedia.org/resource/Cramer\u0027s_rule>	<http://www.w3.org/2000/01/rdf-schema#label>	"Cramerren erregela"@eu .
<http://dbpedia.org/resource/Cramer\u0027s_rule>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Coordinate_transformation> .
<http://dbpedia.org/resource/Cramer\u0027s_rule>	<http://www.w3.org/2000/01/rdf-schema#label>	"Regla de Cramer"@ca .
<http://dbpedia.org/resource/Cramer\u0027s_rule>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Category:Theorems_in_linear_algebra> .
<http://dbpedia.org/resource/Cramer\u0027s_rule>	<http://www.w3.org/2000/01/rdf-schema#label>	"\u039A\u03B1\u03BD\u03CC\u03BD\u03B1\u03C2 \u03C4\u03BF\u03C5 \u039A\u03C1\u03AC\u03BC\u03B5\u03C1"@el .
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<http://dbpedia.org/resource/Cramer\u0027s_rule>	<http://www.w3.org/2002/07/owl#sameAs>	<http://cs.dbpedia.org/resource/Cramerovo_pravidlo> .
<http://dbpedia.org/resource/Cramer\u0027s_rule>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/System_of_linear_equations> .
<http://dbpedia.org/resource/Cramer\u0027s_rule>	<http://www.w3.org/2002/07/owl#sameAs>	<http://nl.dbpedia.org/resource/Regel_van_Cramer> .
<http://dbpedia.org/resource/Cramer\u0027s_rule>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Euclidean_space> .
<http://dbpedia.org/resource/Cramer\u0027s_rule>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Parallelepiped> .
<http://dbpedia.org/resource/Cramer\u0027s_rule>	<http://www.w3.org/2000/01/rdf-schema#label>	"\u041C\u0435\u0442\u043E\u0434 \u041A\u0440\u0430\u043C\u0435\u0440\u0430"@ru .
<http://dbpedia.org/resource/Cramer\u0027s_rule>	<http://www.w3.org/2002/07/owl#sameAs>	<http://uk.dbpedia.org/resource/\u041C\u0435\u0442\u043E\u0434_\u041A\u0440\u0430\u043C\u0435\u0440\u0430> .
<http://dbpedia.org/resource/Cramer\u0027s_rule>	<http://www.w3.org/2002/07/owl#sameAs>	<http://sl.dbpedia.org/resource/Cramerjevo_pravilo> .
<http://dbpedia.org/resource/Cramer\u0027s_rule>	<http://www.w3.org/2000/01/rdf-schema#comment>	"In linear algebra, Cramer's rule is an explicit formula for the solution of a system of linear equations with as many equations as unknowns, valid whenever the system has a unique solution. It expresses the solution in terms of the determinants of the (square) coefficient matrix and of matrices obtained from it by replacing one column by the column vector of right-sides of the equations. It is named after Gabriel Cramer (1704\u20131752), who published the rule for an arbitrary number of unknowns in 1750, although Colin Maclaurin also published special cases of the rule in 1748 (and possibly knew of it as early as 1729)."@en .
<http://dbpedia.org/resource/Cramer\u0027s_rule>	<http://www.w3.org/1999/02/22-rdf-syntax-ns#type>	<http://dbpedia.org/class/yago/PsychologicalFeature100023100> .
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<http://dbpedia.org/resource/Cramer\u0027s_rule>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Einstein_notation> .
<http://dbpedia.org/resource/Cramer\u0027s_rule>	<http://www.w3.org/2002/07/owl#sameAs>	<http://eu.dbpedia.org/resource/Cramerren_erregela> .
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<http://dbpedia.org/resource/Cramer\u0027s_rule>	<http://www.w3.org/1999/02/22-rdf-syntax-ns#type>	<http://dbpedia.org/class/yago/Matter100020827> .
<http://dbpedia.org/resource/Cramer\u0027s_rule>	<http://purl.org/linguistics/gold/hypernym>	<http://dbpedia.org/resource/Formula> .
<http://dbpedia.org/resource/Cramer\u0027s_rule>	<http://dbpedia.org/ontology/wikiPageExternalLink>	<http://planetmath.org/encyclopedia/ProofOfCramersRule.html> .
<http://dbpedia.org/resource/Cramer\u0027s_rule>	<http://www.w3.org/1999/02/22-rdf-syntax-ns#type>	<http://dbpedia.org/ontology/Agent> .
<http://dbpedia.org/resource/Cramer\u0027s_rule>	<http://www.w3.org/2000/01/rdf-schema#label>	"Regola di Cramer"@it .
<http://dbpedia.org/resource/Cramer\u0027s_rule>	<http://dbpedia.org/ontology/abstract>	"Cramerovo pravidlo je algoritmus umo\u017E\u0148uj\u00EDc\u00ED nalezen\u00ED \u0159e\u0161en\u00ED soustavy line\u00E1rn\u00EDch algebraick\u00FDch rovnic. Roku 1750 ho uve\u0159ejnil Gabriel Cramer, u\u017E p\u0159edt\u00EDm v\u0161ak toto pravidlo nalezl Leibniz."@cs .
<http://dbpedia.org/resource/Cramer\u0027s_rule>	<http://www.w3.org/2000/01/rdf-schema#label>	"\u041C\u0435\u0442\u043E\u0434 \u041A\u0440\u0430\u043C\u0435\u0440\u0430"@uk .
<http://dbpedia.org/resource/Cramer\u0027s_rule>	<http://www.w3.org/2000/01/rdf-schema#comment>	"\u041C\u0435\u0442\u043E\u0434 \u041A\u0440\u0430\u043C\u0435\u0440\u0430 (\u043F\u0440\u0430\u0432\u0438\u043B\u043E \u041A\u0440\u0430\u043C\u0435\u0440\u0430) \u2014 \u0441\u043F\u043E\u0441\u0456\u0431 \u0440\u043E\u0437\u0432'\u044F\u0437\u0430\u043D\u043D\u044F \u043A\u0432\u0430\u0434\u0440\u0430\u0442\u043D\u0438\u0445 \u0441\u0438\u0441\u0442\u0435\u043C \u043B\u0456\u043D\u0456\u0439\u043D\u0438\u0445 \u0430\u043B\u0433\u0435\u0431\u0440\u0430\u0457\u0447\u043D\u0438\u0445 \u0440\u0456\u0432\u043D\u044F\u043D\u044C \u0456\u0437 \u043D\u0435\u043D\u0443\u043B\u044C\u043E\u0432\u0438\u043C \u0432\u0438\u0437\u043D\u0430\u0447\u043D\u0438\u043A\u043E\u043C \u043E\u0441\u043D\u043E\u0432\u043D\u043E\u0457 \u043C\u0430\u0442\u0440\u0438\u0446\u0456 (\u043F\u0440\u0438 \u0446\u044C\u043E\u043C\u0443 \u0434\u043B\u044F \u0442\u0430\u043A\u0438\u0445 \u0440\u0456\u0432\u043D\u044F\u043D\u044C \u0456\u0441\u043D\u0443\u0454 \u0454\u0434\u0438\u043D\u0438\u0439 \u0440\u043E\u0437\u0432'\u044F\u0437\u043E\u043A). \u041F\u0440\u0430\u0432\u0438\u043B\u043E \u041A\u0440\u0430\u043C\u0435\u0440\u0430 \u0432\u0438\u0440\u0430\u0436\u0430\u0454 \u0440\u043E\u0437\u0432'\u044F\u0437\u043E\u043A \u0447\u0435\u0440\u0435\u0437 \u0432\u0438\u0437\u043D\u0430\u0447\u043D\u0438\u043A\u0438 \u043A\u0432\u0430\u0434\u0440\u0430\u0442\u043D\u043E\u0457 \u043C\u0430\u0442\u0440\u0438\u0446\u0456 \u043A\u043E\u0435\u0444\u0456\u0446\u0456\u0454\u043D\u0442\u0456\u0432 \u0442\u0430 \u043C\u0430\u0442\u0440\u0438\u0446\u044C, \u043E\u0442\u0440\u0438\u043C\u0430\u043D\u0438\u0445 \u0448\u043B\u044F\u0445\u043E\u043C \u0437\u0430\u043C\u0456\u043D\u0438 \u043E\u0434\u043D\u043E\u0433\u043E \u0441\u0442\u043E\u0432\u043F\u0446\u044F \u043C\u0430\u0442\u0440\u0438\u0446\u0456 \u043A\u043E\u0435\u0444\u0456\u0446\u0456\u0454\u043D\u0442\u0456\u0432 \u0432\u0435\u043A\u0442\u043E\u0440-\u0441\u0442\u043E\u0432\u043F\u0446\u0435\u043C \u043F\u0440\u0430\u0432\u043E\u0457 \u0447\u0430\u0441\u0442\u0438\u043D\u0438 \u0440\u0456\u0432\u043D\u044F\u043D\u043D\u044F. \u0426\u0435\u0439 \u043C\u0435\u0442\u043E\u0434 \u043D\u0430\u0437\u0432\u0430\u043D\u0438\u0439 \u043D\u0430 \u0447\u0435\u0441\u0442\u044C \u0413\u0430\u0431\u0440\u0456\u0454\u043B\u044F \u041A\u0440\u0430\u043C\u0435\u0440\u0430 (1704\u20141752), \u044F\u043A\u0438\u0439 \u0443 1750 \u0440. \u043F\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u0438\u0432 \u0439\u043E\u0433\u043E \u0434\u043B\u044F \u0434\u043E\u0432\u0456\u043B\u044C\u043D\u043E\u0457 \u043A\u0456\u043B\u044C\u043A\u043E\u0441\u0442\u0456 \u043D\u0435\u0432\u0456\u0434\u043E\u043C\u0438\u0445. \u041A\u043E\u043B\u0456\u043D \u041C\u0430\u043A\u043B\u043E\u0440\u0435\u043D \u0442\u0430\u043A\u043E\u0436 \u043F\u0443\u0431\u043B\u0456\u043A\u0443\u0432\u0430\u0432 \u043E\u0441\u043E\u0431\u043B\u0438\u0432\u0456 \u0432\u0438\u043F\u0430\u0434\u043A\u0438 \u0446\u044C\u043E\u0433\u043E \u043F\u0440\u0430\u0432\u0438\u043B\u0430 \u0432 1748 \u0440. (\u0456, \u043C\u043E\u0436\u043B\u0438\u0432\u043E, \u0437\u043D\u0430\u0432 \u043F\u0440\u043E \u043D\u044C\u043E\u0433\u043E \u0449\u0435 \u0432 1729 \u0440.)."@uk .
<http://dbpedia.org/resource/Cramer\u0027s_rule>	<http://www.w3.org/2000/01/rdf-schema#label>	"R\u00E8gle de Cramer"@fr .
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<http://dbpedia.org/resource/Cramer\u0027s_rule>	<http://www.w3.org/2000/01/rdf-schema#comment>	"\u041C\u0435\u0301\u0442\u043E\u0434 \u041A\u0440\u0430\u043C\u0435\u0440\u0430 (\u043F\u0440\u0430\u0432\u0438\u043B\u043E \u041A\u0440\u0430\u043C\u0435\u0440\u0430) \u2014 \u0441\u043F\u043E\u0441\u043E\u0431 \u0440\u0435\u0448\u0435\u043D\u0438\u044F \u0441\u0438\u0441\u0442\u0435\u043C \u043B\u0438\u043D\u0435\u0439\u043D\u044B\u0445 \u0430\u043B\u0433\u0435\u0431\u0440\u0430\u0438\u0447\u0435\u0441\u043A\u0438\u0445 \u0443\u0440\u0430\u0432\u043D\u0435\u043D\u0438\u0439 \u0441 \u0447\u0438\u0441\u043B\u043E\u043C \u0443\u0440\u0430\u0432\u043D\u0435\u043D\u0438\u0439 \u0440\u0430\u0432\u043D\u044B\u043C \u0447\u0438\u0441\u043B\u0443 \u043D\u0435\u0438\u0437\u0432\u0435\u0441\u0442\u043D\u044B\u0445 \u0441 \u043D\u0435\u043D\u0443\u043B\u0435\u0432\u044B\u043C \u0433\u043B\u0430\u0432\u043D\u044B\u043C \u043E\u043F\u0440\u0435\u0434\u0435\u043B\u0438\u0442\u0435\u043B\u0435\u043C \u043C\u0430\u0442\u0440\u0438\u0446\u044B \u043A\u043E\u044D\u0444\u0444\u0438\u0446\u0438\u0435\u043D\u0442\u043E\u0432 \u0441\u0438\u0441\u0442\u0435\u043C\u044B (\u043F\u0440\u0438\u0447\u0451\u043C \u0434\u043B\u044F \u0442\u0430\u043A\u0438\u0445 \u0443\u0440\u0430\u0432\u043D\u0435\u043D\u0438\u0439 \u0440\u0435\u0448\u0435\u043D\u0438\u0435 \u0441\u0443\u0449\u0435\u0441\u0442\u0432\u0443\u0435\u0442 \u0438 \u0435\u0434\u0438\u043D\u0441\u0442\u0432\u0435\u043D\u043D\u043E)."@ru .
<http://dbpedia.org/resource/Cramer\u0027s_rule>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Integer_programming> .
<http://dbpedia.org/resource/Cramer\u0027s_rule>	<http://www.w3.org/2002/07/owl#sameAs>	<http://pt.dbpedia.org/resource/Regra_de_Cramer> .
<http://dbpedia.org/resource/Cramer\u0027s_rule>	<http://dbpedia.org/ontology/wikiPageExternalLink>	<http://mathworld.wolfram.com/CramersRule.html> .
<http://dbpedia.org/resource/Cramer\u0027s_rule>	<http://www.w3.org/2000/01/rdf-schema#label>	"Regra de Cramer"@pt .
<http://dbpedia.org/resource/Cramer\u0027s_rule>	<http://dbpedia.org/ontology/abstract>	"La regla de Cramer \u00E9s un teorema, en \u00E0lgebra lineal, que dona la soluci\u00F3 d'un sistema lineal d'equacions compatible determinat en termes de determinants. Rep aquest nom en honor de Gabriel Cramer (1704 - 1752), el qual va presentar aquest resultat en l'obra Introducci\u00F3 a l'an\u00E0lisi de les cobes algebraiques (1750), encara que Colin Maclaurin ja l'havia publicat el 1748 (i possiblement ja el coneixia des del 1729)."@ca .
<http://dbpedia.org/resource/Cramer\u0027s_rule>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Manifold> .
<http://dbpedia.org/resource/Cramer\u0027s_rule>	<http://dbpedia.org/ontology/abstract>	"Wzory Cramera \u2013 twierdzenie okre\u015Blaj\u0105ce posta\u0107 rozwi\u0105za\u0144 oznaczonego uk\u0142adu r\u00F3wna\u0144 liniowych o wsp\u00F3\u0142czynnikach z ustalonego cia\u0142a (np. liczb rzeczywistych). Sformu\u0142owane zosta\u0142o przez szwajcarskiego matematyka Gabriela Cramera w 1750 roku. Z twierdzenia tego mo\u017Cna wyprowadzi\u0107 twierdzenie Cayleya-Hamiltona w algebrze liniowej oraz lemat Nakayamy b\u0119d\u0105cy wa\u017Cnym wynikiem teorii pier\u015Bcieni przemiennych. W programowaniu ca\u0142kowitoliczbowym twierdzenie to mo\u017Cna wykorzysta\u0107 do dowiedzenia, i\u017C zadanie tego rodzaju z i ca\u0142kowitymi wsp\u00F3\u0142czynnikami wektora wyraz\u00F3w wolnych ma ca\u0142kowitoliczbowe rozwi\u0105zania bazowe, co znacz\u0105co upraszcza rozwi\u0105zywanie takich zada\u0144. Wzory Cramera wykorzystuje si\u0119 do otrzymania rozwi\u0105zania og\u00F3lnego niejednorodnego metod\u0105 uzmienniania sta\u0142ych. W geometrii r\u00F3\u017Cniczkowej wykorzystuje si\u0119 je (zwykle niejawnie) stosuj\u0105c twierdzenie o funkcji uwik\u0142anej (zob. )."@pl .
<http://dbpedia.org/resource/Cramer\u0027s_rule>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Totally_unimodular> .
<http://dbpedia.org/resource/Cramer\u0027s_rule>	<http://www.w3.org/2002/07/owl#sameAs>	<http://ar.dbpedia.org/resource/\u0642\u0627\u0639\u062F\u0629_\u0643\u0631\u0627\u0645\u0631> .
<http://dbpedia.org/resource/Cramer\u0027s_rule>	<http://dbpedia.org/ontology/abstract>	"\u041C\u0435\u0301\u0442\u043E\u0434 \u041A\u0440\u0430\u043C\u0435\u0440\u0430 (\u043F\u0440\u0430\u0432\u0438\u043B\u043E \u041A\u0440\u0430\u043C\u0435\u0440\u0430) \u2014 \u0441\u043F\u043E\u0441\u043E\u0431 \u0440\u0435\u0448\u0435\u043D\u0438\u044F \u0441\u0438\u0441\u0442\u0435\u043C \u043B\u0438\u043D\u0435\u0439\u043D\u044B\u0445 \u0430\u043B\u0433\u0435\u0431\u0440\u0430\u0438\u0447\u0435\u0441\u043A\u0438\u0445 \u0443\u0440\u0430\u0432\u043D\u0435\u043D\u0438\u0439 \u0441 \u0447\u0438\u0441\u043B\u043E\u043C \u0443\u0440\u0430\u0432\u043D\u0435\u043D\u0438\u0439 \u0440\u0430\u0432\u043D\u044B\u043C \u0447\u0438\u0441\u043B\u0443 \u043D\u0435\u0438\u0437\u0432\u0435\u0441\u0442\u043D\u044B\u0445 \u0441 \u043D\u0435\u043D\u0443\u043B\u0435\u0432\u044B\u043C \u0433\u043B\u0430\u0432\u043D\u044B\u043C \u043E\u043F\u0440\u0435\u0434\u0435\u043B\u0438\u0442\u0435\u043B\u0435\u043C \u043C\u0430\u0442\u0440\u0438\u0446\u044B \u043A\u043E\u044D\u0444\u0444\u0438\u0446\u0438\u0435\u043D\u0442\u043E\u0432 \u0441\u0438\u0441\u0442\u0435\u043C\u044B (\u043F\u0440\u0438\u0447\u0451\u043C \u0434\u043B\u044F \u0442\u0430\u043A\u0438\u0445 \u0443\u0440\u0430\u0432\u043D\u0435\u043D\u0438\u0439 \u0440\u0435\u0448\u0435\u043D\u0438\u0435 \u0441\u0443\u0449\u0435\u0441\u0442\u0432\u0443\u0435\u0442 \u0438 \u0435\u0434\u0438\u043D\u0441\u0442\u0432\u0435\u043D\u043D\u043E)."@ru .
<http://dbpedia.org/resource/Cramer\u0027s_rule>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Rouch\u00E9\u2013Capelli_theorem> .
<http://dbpedia.org/resource/Cramer\u0027s_rule>	<http://www.w3.org/1999/02/22-rdf-syntax-ns#type>	<http://dbpedia.org/class/yago/Proposition106750804> .
<http://dbpedia.org/resource/Cramer\u0027s_rule>	<http://dbpedia.org/ontology/abstract>	"La regola di Cramer, o metodo di Cramer, \u00E8 un teorema di algebra lineare, che prende il nome dal matematico Gabriel Cramer, utile per risolvere un sistema di equazioni lineari usando il determinante, nel caso in cui il sistema abbia esattamente una soluzione. Come algoritmo di calcolo \u00E8 inefficiente. Pertanto, pu\u00F2 essere effettivamente utilizzato solo per risolvere sistemi di poche equazioni. Tuttavia, esso \u00E8 di grande importanza teorica in quanto d\u00E0 un'espressione esplicita per la soluzione del sistema."@it .
<http://dbpedia.org/resource/Cramer\u0027s_rule>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Variation_of_parameters> .
<http://dbpedia.org/resource/Cramer\u0027s_rule>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Category:Determinants> .
<http://dbpedia.org/resource/Cramer\u0027s_rule>	<http://www.w3.org/1999/02/22-rdf-syntax-ns#type>	<http://dbpedia.org/class/yago/Determinant105692419> .
<http://dbpedia.org/resource/Cramer\u0027s_rule>	<http://dbpedia.org/ontology/wikiPageExternalLink>	<https://archive.today/20110425223706/http:/sole.ooz.ie/> .
<http://dbpedia.org/resource/Cramer\u0027s_rule>	<http://www.w3.org/2000/01/rdf-schema#comment>	"De regel van Cramer (naar Gabriel Cramer, 1704 - 1752) in de lineaire algebra is een formule voor de oplossingen van een stelsel lineaire vergelijkingen. Met de regel kunnen de oplossingen van een oplosbaar stelsel direct berekend worden, zonder dat de bijbehorende matrix eerst ge\u00EFnverteerd wordt. Als het oplosbare lineaire stelsel van vergelijkingen met onbekenden gegeven wordt door: , waarin dus de -matrix inverteerbaar is, dan is er precies \u00E9\u00E9n oplossing , die gegeven wordt door: . De oplossing kan berekend worden zonder expliciet de inverse van te bepalen met de regel van Cramer:"@nl .
<http://dbpedia.org/resource/Cramer\u0027s_rule>	<http://www.w3.org/2002/07/owl#sameAs>	<http://hi.dbpedia.org/resource/\u0915\u094D\u0930\u0948\u092E\u0930-\u0928\u093F\u092F\u092E> .
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<http://dbpedia.org/resource/Cramer\u0027s_rule>	<http://www.w3.org/2002/07/owl#sameAs>	<http://ca.dbpedia.org/resource/Regla_de_Cramer> .
<http://dbpedia.org/resource/Cramer\u0027s_rule>	<http://www.w3.org/2000/01/rdf-schema#comment>	"La regla de Cramer es un teorema del \u00E1lgebra lineal que da la soluci\u00F3n de un sistema lineal de ecuaciones en t\u00E9rminos de determinantes. Recibe este nombre en honor a Gabriel Cramer (1704-1752), quien public\u00F3 la regla en su Introduction \u00E0 l'analyse des lignes courbes alg\u00E9briques de 1750, aunque Colin Maclaurin tambi\u00E9n public\u00F3 el m\u00E9todo en su Treatise of Geometry de 1748 (y probablemente sab\u00EDa del m\u00E9todo desde 1729). \u200B\u200B"@es .
<http://dbpedia.org/resource/Cramer\u0027s_rule>	<http://www.w3.org/2002/07/owl#sameAs>	<http://fi.dbpedia.org/resource/Cramerin_s\u00E4\u00E4nt\u00F6> .
<http://dbpedia.org/resource/Cramer\u0027s_rule>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Identity_matrix> .
<http://dbpedia.org/resource/Cramer\u0027s_rule>	<http://purl.org/dc/terms/subject>	<http://dbpedia.org/resource/Category:Determinants> .
<http://dbpedia.org/resource/Cramer\u0027s_rule>	<http://www.w3.org/1999/02/22-rdf-syntax-ns#type>	<http://dbpedia.org/class/yago/Chemical114806838> .
<http://dbpedia.org/resource/Cramer\u0027s_rule>	<http://www.w3.org/1999/02/22-rdf-syntax-ns#type>	<http://dbpedia.org/class/yago/Material114580897> .
<http://dbpedia.org/resource/Cramer\u0027s_rule>	<http://www.w3.org/1999/02/22-rdf-syntax-ns#type>	<http://dbpedia.org/class/yago/Fraction114922107> .
<http://dbpedia.org/resource/Cramer\u0027s_rule>	<http://www.w3.org/2002/07/owl#sameAs>	<http://rdf.freebase.com/ns/m.01642y> .
<http://dbpedia.org/resource/Cramer\u0027s_rule>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Laplace_expansion> .
<http://dbpedia.org/resource/Cramer\u0027s_rule>	<http://dbpedia.org/property/wikiPageUsesTemplate>	<http://dbpedia.org/resource/Template:Reflist> .
<http://dbpedia.org/resource/Cramer\u0027s_rule>	<http://www.w3.org/2002/07/owl#sameAs>	<http://sv.dbpedia.org/resource/Cramers_regel> .
<http://dbpedia.org/resource/Cramer\u0027s_rule>	<http://www.w3.org/1999/02/22-rdf-syntax-ns#type>	<http://dbpedia.org/class/yago/WikicatTheoremsInAlgebra> .
<http://dbpedia.org/resource/Cramer\u0027s_rule>	<http://www.w3.org/1999/02/22-rdf-syntax-ns#type>	<http://dbpedia.org/class/yago/WikicatTheorems> .
<http://dbpedia.org/resource/Cramer\u0027s_rule>	<http://www.w3.org/2002/07/owl#sameAs>	<http://sq.dbpedia.org/resource/Formulat_e_Cramerit> .
<http://dbpedia.org/resource/Cramer\u0027s_rule>	<http://www.w3.org/2002/07/owl#sameAs>	<http://id.dbpedia.org/resource/Kaidah_Cramer> .
<http://dbpedia.org/resource/Cramer\u0027s_rule>	<http://www.w3.org/2002/07/owl#sameAs>	<http://www.wikidata.org/entity/Q322666> .
<http://dbpedia.org/resource/Cramer\u0027s_rule>	<http://www.w3.org/1999/02/22-rdf-syntax-ns#type>	<http://dbpedia.org/class/yago/WikicatFractions> .
<http://dbpedia.org/resource/Cramer\u0027s_rule>	<http://dbpedia.org/ontology/abstract>	"Formuloj de Kramero estas formuloj, kiuj donas rezulton de sistemo de n linearaj ekvacioj kun n variabloj. \u011Ci portas la nomon de Gabriel Cramer. \u0108efa matrico estas (signifu ): Kaj signifas matrico, kiu havas \u015Dan\u011Data i-koluno en libera valoroj. Tiam rezulto de sistemo estas:"@eo .
<http://dbpedia.org/resource/Cramer\u0027s_rule>	<http://www.w3.org/2000/01/rdf-schema#label>	"Regel van Cramer"@nl .
<http://dbpedia.org/resource/Cramer\u0027s_rule>	<http://www.w3.org/2000/01/rdf-schema#comment>	"Formuloj de Kramero estas formuloj, kiuj donas rezulton de sistemo de n linearaj ekvacioj kun n variabloj. \u011Ci portas la nomon de Gabriel Cramer. \u0108efa matrico estas (signifu ): Kaj signifas matrico, kiu havas \u015Dan\u011Data i-koluno en libera valoroj. Tiam rezulto de sistemo estas:"@eo .
<http://dbpedia.org/resource/Cramer\u0027s_rule>	<http://dbpedia.org/ontology/abstract>	"\u514B\u83B1\u59C6\u6CD5\u5219\uFF08\u82F1\u8A9E\uFF1ACramer's rule / formula\uFF0C\u53F0\u6E7E\u4F5C\u514B\u62C9\u746A\u516C\u5F0F\uFF09\u662F\u4E00\u500B\u7DDA\u6027\u4EE3\u6578\u4E2D\u7684\u5B9A\u7406\uFF0C\u7528\u884C\u5217\u5F0F\u4F86\u8A08\u7B97\u51FA\u7DDA\u6027\u7B49\u5F0F\u7D44\u4E2D\u7684\u6240\u6709\u89E3\u3002\u9019\u500B\u5B9A\u7406\u56E0\u52A0\u767E\u5217\u00B7\u514B\u840A\u59C6\uFF081704\u5E74 - 1752\u5E74\uFF09\u7684\u5353\u8D8A\u4F7F\u7528\u800C\u547D\u540D\u3002\u5728\u8A08\u7B97\u4E0A\uFF0C\u4E26\u975E\u6700\u6709\u6548\u7387\u4E4B\u6CD5\uFF0C\u56E0\u800C\u5728\u5F88\u591A\u689D\u7B49\u5F0F\u7684\u60C5\u6CC1\u4E2D\u6C92\u6709\u5EE3\u6CDB\u61C9\u7528\u3002\u4E0D\u904E\uFF0C\u9019\u4E00\u5B9A\u7406\u5728\u7406\u8AD6\u6027\u65B9\u9762\u5341\u5206\u6709\u6548\u3002"@zh .
<http://dbpedia.org/resource/Cramer\u0027s_rule>	<http://dbpedia.org/ontology/abstract>	"Cramerren erregela aljebra linealeko teorema bat da, zeinak ekuazio-linealen sistemei soluzioa ematen dien determinanteak erabiliz. (1704-1752) suitzar matematikariari zor dio izena, berak argitaratu baitzuen erregela 1750ean Introduction \u00E0 l'analyse des lignes courbes alg\u00E9briques (euskaraz, Lerro kurbatu aljebraikoen analisirako sarrera) lanean, alabaina, Colin MacLaurin eskoziar matematikariak lehenago argitaratu zuen erregela, 1748an, Treatise of Geometry (euskaraz, Geometriaren Tratatua) lanean eta ziurrena da jada 1729tik metodoaren berri izatea. Cramerren erregelak ekuazio-sistema ebazteko adierazpen esplizitua ematen du eta hortik datorkio garrantzia teorikoa. Alabaina, hiru ekuazio baino gehiago dituzten ekuazio-linealen sistemak ebazteko ez da eraginkorra, oso neketsua delako: konputazioan ez da erabiltzen ekuazio ugariko sistemetan, matrize handiak eratuko liratekeelako. Haatik, matrizeak piboteatu behar ez direnez, baino eraginkorragoa da matrize txikietan, horregatik, operazioetan interesgarria da teorema (ikus )."@eu .
<http://dbpedia.org/resource/Cramer\u0027s_rule>	<http://www.w3.org/ns/prov#wasDerivedFrom>	<http://en.wikipedia.org/wiki/Cramer\u0027s_rule?oldid=1123304050&ns=0> .
<http://dbpedia.org/resource/Cramer\u0027s_rule>	<http://www.w3.org/2000/01/rdf-schema#comment>	"La regla de Cramer \u00E9s un teorema, en \u00E0lgebra lineal, que dona la soluci\u00F3 d'un sistema lineal d'equacions compatible determinat en termes de determinants. Rep aquest nom en honor de Gabriel Cramer (1704 - 1752), el qual va presentar aquest resultat en l'obra Introducci\u00F3 a l'an\u00E0lisi de les cobes algebraiques (1750), encara que Colin Maclaurin ja l'havia publicat el 1748 (i possiblement ja el coneixia des del 1729)."@ca .
<http://dbpedia.org/resource/Cramer\u0027s_rule>	<http://www.w3.org/2000/01/rdf-schema#label>	"Formuloj de Kramero"@eo .
<http://dbpedia.org/resource/Cramer\u0027s_rule>	<http://www.w3.org/2000/01/rdf-schema#comment>	"\u0641\u064A \u0627\u0644\u062C\u0628\u0631 \u0627\u0644\u062E\u0637\u064A\u060C \u0642\u0627\u0639\u062F\u0629 \u0643\u0631\u0627\u0645\u0631 (\u0628\u0627\u0644\u0625\u0646\u062C\u0644\u064A\u0632\u064A\u0629: Cramer's rule)\u200F \u0647\u064A \u0645\u0628\u0631\u0647\u0646\u0629 \u062A\u0639\u0637\u064A \u062D\u0644\u062D\u0644\u0629 \u0644\u0646\u0638\u0627\u0645 \u0645\u0639\u0627\u062F\u0644\u0627\u062A \u062E\u0637\u064A\u0629 (\u0623\u0648 \u0645\u0627 \u0642\u062F \u064A\u062F\u0639\u0649 \u062C\u0645\u0644\u0629 \u0627\u0644\u0645\u0639\u0627\u062F\u0644\u0627\u062A \u0627\u0644\u062E\u0637\u064A\u0629) \u0628\u062F\u0644\u0627\u0644\u0629 \u0627\u0644\u0645\u062D\u062F\u062F\u0627\u062A.\u0633\u0645\u064A\u062A \u0647\u0630\u0647 \u0627\u0644\u0642\u0627\u0639\u062F\u0629 \u0647\u0643\u0630\u0627 \u0646\u0633\u0628\u0629 \u0625\u0644\u0649 \u0639\u0627\u0644\u0645 \u0627\u0644\u0631\u064A\u0627\u0636\u064A\u0627\u062A \u0627\u0644\u0633\u0648\u064A\u0633\u0631\u064A \u063A\u0627\u0628\u0631\u064A\u064A\u0644 \u0643\u0631\u0627\u0645\u0631 (1704-1752)\u0645.\u062D\u0633\u0627\u0628\u064A\u0627 \u062A\u0639\u062A\u0628\u0631 \u0647\u0630\u0647 \u0627\u0644\u0637\u0631\u064A\u0642\u0629 \u063A\u064A\u0631 \u0641\u0639\u0627\u0644\u0629 \u062C\u062F\u0627 \u0644\u0630\u0644\u0643 \u0641\u0647\u064A \u0646\u0627\u062F\u0631\u0629 \u0627\u0644\u0627\u0633\u062A\u062E\u062F\u0627\u0645 \u0633\u064A\u0645\u0627 \u0641\u064A \u0627\u0644\u062A\u0637\u0628\u064A\u0642\u0627\u062A \u0627\u0644\u062A\u064A \u062A\u062A\u0636\u0645\u0646 \u0627\u0644\u0639\u062F\u064A\u062F \u0645\u0646 \u0627\u0644\u0645\u0639\u0627\u062F\u0644\u0627\u062A. \u0648\u0644\u0630\u0644\u0643 \u062A\u0633\u062A\u062E\u062F\u0645 \u0637\u0631\u064A\u0642\u0629 \u063A\u0627\u0648\u0633 \u0639\u0627\u062F\u0629 \u0641\u064A \u062D\u0644 \u062C\u0645\u0644 \u0627\u0644\u0645\u0639\u0627\u062F\u0644\u0627\u062A \u0627\u0644\u0645\u062A\u0639\u062F\u062F\u0629 \u0628\u062F\u0644\u0627 \u0645\u0646 \u0642\u0627\u0639\u062F\u0629 \u0643\u0631\u0627\u0645\u0631."@ar .
<http://dbpedia.org/resource/Cramer\u0027s_rule>	<http://www.w3.org/1999/02/22-rdf-syntax-ns#type>	<http://dbpedia.org/class/yago/Theorem106752293> .
<http://dbpedia.org/resource/Cramer\u0027s_rule>	<http://dbpedia.org/ontology/abstract>	"In linear algebra, Cramer's rule is an explicit formula for the solution of a system of linear equations with as many equations as unknowns, valid whenever the system has a unique solution. It expresses the solution in terms of the determinants of the (square) coefficient matrix and of matrices obtained from it by replacing one column by the column vector of right-sides of the equations. It is named after Gabriel Cramer (1704\u20131752), who published the rule for an arbitrary number of unknowns in 1750, although Colin Maclaurin also published special cases of the rule in 1748 (and possibly knew of it as early as 1729). Cramer's rule implemented in a na\u00EFve way is computationally inefficient for systems of more than two or three equations. In the case of n equations in n unknowns, it requires computation of n + 1 determinants, while Gaussian elimination produces the result with the same computational complexity as the computation of a single determinant. Cramer's rule can also be numerically unstable even for 2\u00D72 systems. However, it has recently been shown that Cramer's rule can be implemented with the same complexity as Gaussian elimination, (consistently requires twice as many arithmetic operations and has the same numerical stability when the same permutation matrices are applied)."@en .
<http://dbpedia.org/resource/Cramer\u0027s_rule>	<http://www.w3.org/2000/01/rdf-schema#label>	"\u0642\u0627\u0639\u062F\u0629 \u0643\u0631\u0627\u0645\u0631"@ar .
<http://dbpedia.org/resource/Cramer\u0027s_rule>	<http://www.w3.org/2000/01/rdf-schema#comment>	"La r\u00E8gle de Cramer (ou m\u00E9thode de Cramer) est un th\u00E9or\u00E8me en alg\u00E8bre lin\u00E9aire qui donne la solution d'un syst\u00E8me de Cramer, c'est-\u00E0-dire un syst\u00E8me d'\u00E9quations lin\u00E9aires avec autant d'\u00E9quations que d'inconnues et dont le d\u00E9terminant de la matrice de coefficients est non nul, sous forme de quotients de d\u00E9terminants. Elle est nomm\u00E9e d'apr\u00E8s le math\u00E9maticien suisse Gabriel Cramer (1704-1752)."@fr .
<http://dbpedia.org/resource/Cramer\u0027s_rule>	<http://www.w3.org/2002/07/owl#sameAs>	<http://fa.dbpedia.org/resource/\u0642\u0627\u0639\u062F\u0647_\u06A9\u0631\u0627\u0645\u0631> .
<http://dbpedia.org/resource/Cramer\u0027s_rule>	<http://www.w3.org/2002/07/owl#sameAs>	<http://de.dbpedia.org/resource/Cramersche_Regel> .
<http://dbpedia.org/resource/Cramer\u0027s_rule>	<http://www.w3.org/1999/02/22-rdf-syntax-ns#type>	<http://dbpedia.org/class/yago/Part113809207> .
<http://dbpedia.org/resource/Cramer\u0027s_rule>	<http://www.w3.org/2002/07/owl#sameAs>	<http://hu.dbpedia.org/resource/Cramer-szab\u00E1ly> .
<http://dbpedia.org/resource/Cramer\u0027s_rule>	<http://www.w3.org/2000/01/rdf-schema#label>	"Regla de Cramer"@es .
<http://dbpedia.org/resource/Cramer\u0027s_rule>	<http://www.w3.org/2000/01/rdf-schema#comment>	"Die Cramersche Regel oder Determinantenmethode ist eine mathematische Formel f\u00FCr die L\u00F6sung eines linearen Gleichungssystems. Sie ist bei der theoretischen Betrachtung linearer Gleichungssysteme hilfreich. F\u00FCr die Berechnung einer L\u00F6sung ist der Rechenaufwand jedoch in der Regel zu hoch, da dabei verh\u00E4ltnism\u00E4\u00DFig viele Determinanten auftreten. Deshalb kommen dazu andere Verfahren aus der numerischen Mathematik zum Einsatz. Die Cramersche Regel ist nach Gabriel Cramer benannt, der sie im Jahr 1750 ver\u00F6ffentlichte, jedoch wurde sie bereits vorher von Leibniz gefunden."@de .
<http://dbpedia.org/resource/Cramer\u0027s_rule>	<http://dbpedia.org/ontology/wikiPageRevisionID>	"1123304050"^^<http://www.w3.org/2001/XMLSchema#integer> .
<http://dbpedia.org/resource/Cramer\u0027s_rule>	<http://www.w3.org/2000/01/rdf-schema#comment>	"Dalam aljabar linear, kaidah Cramer adalah rumus yang dapat digunakan untuk menyelesaikan sistem persamaan linear dengan banyak persamaan sama dengan banyak variabel, dan berlaku ketika sistem tersebut memiliki solusi yang tunggal. Rumus ini menyatakan solusi dengan menggunakan determinan matriks koefisien (dari sistem persamaan) dan determinan matriks lain yang diperoleh dengan mengganti salah satu kolom matriks koefisien dengan vektor yang berada sebelah kanan persamaan. Metode ini dinamai dari matematikawan Swiss Gabriel Cramer (1704\u20131752), yang pada tahun 1750 menerbitkan kaidah ini untuk sebarang banyaknya variabel, walau Colin Maclaurin juga menerbitkan kasus khusus dari kaidah ini pada tahun 1748 (dan mungkin ia sudah mengetahuinya sejak 1729)."@in .
<http://dbpedia.org/resource/Cramer\u0027s_rule>	<http://www.w3.org/2000/01/rdf-schema#label>	"\u30AF\u30E9\u30E1\u30EB\u306E\u516C\u5F0F"@ja .
<http://dbpedia.org/resource/Cramer\u0027s_rule>	<http://www.w3.org/2000/01/rdf-schema#comment>	"\uC120\uD615\uB300\uC218\uD559\uC5D0\uC11C \uD06C\uB77C\uBA54\uB974 \uBC95\uCE59(Cramer\u6CD5\u5247, \uC601\uC5B4: Cramer's rule) \uB610\uB294 \uD06C\uB77C\uBA54\uB974 \uACF5\uC2DD\uC740 \uC720\uC77C\uD55C \uD574\uB97C \uAC00\uC9C0\uBA70 \uBCC0\uC218\uC640 \uBC29\uC815\uC2DD\uC758 \uC218\uAC00 \uAC19\uC740 \uC5F0\uB9BD \uC77C\uCC28 \uBC29\uC815\uC2DD\uC758 \uD574\uB97C \uAD6C\uD558\uB294 \uACF5\uC2DD\uC774\uB2E4. \uACC4\uC218 \uD589\uB82C\uACFC \uADF8 \uD55C \uC5F4\uC744 \uC0C1\uC218\uD56D\uC73C\uB85C \uB300\uC2E0\uD558\uC5EC \uC5BB\uB294 \uD589\uB82C\uB4E4\uC758 \uD589\uB82C\uC2DD\uC758 \uBE44\uB97C \uD1B5\uD574 \uD574\uB97C \uB098\uD0C0\uB0B8\uB2E4. \uB458 \uB610\uB294 \uC14B \uC774\uC0C1\uC758 \uBC29\uC815\uC2DD\uC73C\uB85C \uC774\uB8E8\uC5B4\uC9C4 \uC5F0\uB9BD \uC77C\uCC28 \uBC29\uC815\uC2DD\uC758 \uACBD\uC6B0, \uD06C\uB77C\uBA54\uB974 \uBC95\uCE59\uC5D0 \uC758\uD55C \uC54C\uACE0\uB9AC\uC998\uC740 \uAC00\uC6B0\uC2A4 \uC18C\uAC70\uBC95\uC5D0 \uC758\uD55C \uC54C\uACE0\uB9AC\uC998\uBCF4\uB2E4 \uD6E8\uC52C \uBE44\uD6A8\uC728\uC801\uC774\uB2E4."@ko .
<http://dbpedia.org/resource/Cramer\u0027s_rule>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Adjugate_matrix> .
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<http://dbpedia.org/resource/Cramer\u0027s_rule>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Field_(mathematics)> .
<http://dbpedia.org/resource/Cramer\u0027s_rule>	<http://www.w3.org/2002/07/owl#sameAs>	<http://pl.dbpedia.org/resource/Wzory_Cramera> .
<http://dbpedia.org/resource/Cramer\u0027s_rule>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Colin_Maclaurin> .
<http://dbpedia.org/resource/Cramer\u0027s_rule>	<http://dbpedia.org/ontology/abstract>	"\uC120\uD615\uB300\uC218\uD559\uC5D0\uC11C \uD06C\uB77C\uBA54\uB974 \uBC95\uCE59(Cramer\u6CD5\u5247, \uC601\uC5B4: Cramer's rule) \uB610\uB294 \uD06C\uB77C\uBA54\uB974 \uACF5\uC2DD\uC740 \uC720\uC77C\uD55C \uD574\uB97C \uAC00\uC9C0\uBA70 \uBCC0\uC218\uC640 \uBC29\uC815\uC2DD\uC758 \uC218\uAC00 \uAC19\uC740 \uC5F0\uB9BD \uC77C\uCC28 \uBC29\uC815\uC2DD\uC758 \uD574\uB97C \uAD6C\uD558\uB294 \uACF5\uC2DD\uC774\uB2E4. \uACC4\uC218 \uD589\uB82C\uACFC \uADF8 \uD55C \uC5F4\uC744 \uC0C1\uC218\uD56D\uC73C\uB85C \uB300\uC2E0\uD558\uC5EC \uC5BB\uB294 \uD589\uB82C\uB4E4\uC758 \uD589\uB82C\uC2DD\uC758 \uBE44\uB97C \uD1B5\uD574 \uD574\uB97C \uB098\uD0C0\uB0B8\uB2E4. \uB458 \uB610\uB294 \uC14B \uC774\uC0C1\uC758 \uBC29\uC815\uC2DD\uC73C\uB85C \uC774\uB8E8\uC5B4\uC9C4 \uC5F0\uB9BD \uC77C\uCC28 \uBC29\uC815\uC2DD\uC758 \uACBD\uC6B0, \uD06C\uB77C\uBA54\uB974 \uBC95\uCE59\uC5D0 \uC758\uD55C \uC54C\uACE0\uB9AC\uC998\uC740 \uAC00\uC6B0\uC2A4 \uC18C\uAC70\uBC95\uC5D0 \uC758\uD55C \uC54C\uACE0\uB9AC\uC998\uBCF4\uB2E4 \uD6E8\uC52C \uBE44\uD6A8\uC728\uC801\uC774\uB2E4."@ko .
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<http://dbpedia.org/resource/Cramer\u0027s_rule>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Computational_complexity> .
<http://dbpedia.org/resource/Cramer\u0027s_rule>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Ricci_calculus> .
<http://dbpedia.org/resource/Cramer\u0027s_rule>	<http://www.w3.org/1999/02/22-rdf-syntax-ns#type>	<http://dbpedia.org/class/yago/Abstraction100002137> .
<http://dbpedia.org/resource/Cramer\u0027s_rule>	<http://dbpedia.org/ontology/abstract>	"Cramers regel \u00E4r en sats inom linj\u00E4r algebra, vilken ger l\u00F6sningen till ett linj\u00E4rt ekvationssystem med hj\u00E4lp av determinanter. Satsen \u00E4r namngiven efter Gabriel Cramer (1704\u20131752). Ber\u00E4kningsm\u00E4ssigt \u00E4r metoden ineffektiv d\u00E5 flera ekvationsevalueringar \u00E4r n\u00F6dv\u00E4ndiga. Den \u00E4r d\u00E4rf\u00F6r s\u00E4llan anv\u00E4nd inom praktiska till\u00E4mpningar. Men satsen har ett teoretiskt v\u00E4rde d\u00E5 metoden ger ett explicit uttryck f\u00F6r l\u00F6sningar till ekvationssystem. Ett ekvationssystem representeras i matrisnotation som d\u00E4r \u00E4r en inverterbar kvadratisk matris och vektorn \u00E4r en kolonnvektor. Enligt Cramers sats \u00E4r d\u00E4r \u00E4r matrisen med i:te kolumnen i utbytt mot kolumnvektorn och den i:te komponenten i l\u00F6sningsvektorn."@sv .
<http://dbpedia.org/resource/Cramer\u0027s_rule>	<http://www.w3.org/2002/07/owl#sameAs>	<http://eo.dbpedia.org/resource/Formuloj_de_Kramero> .
<http://dbpedia.org/resource/Cramer\u0027s_rule>	<http://www.w3.org/2000/01/rdf-schema#label>	"\uD06C\uB77C\uBA54\uB974 \uBC95\uCE59"@ko .
<http://dbpedia.org/resource/Cramer\u0027s_rule>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Invertible_matrix> .
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<http://dbpedia.org/resource/Cramer\u0027s_rule>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Invertible_matrix_theorem> .
<http://dbpedia.org/resource/Cramer\u0027s_rule>	<http://www.w3.org/1999/02/22-rdf-syntax-ns#type>	<http://dbpedia.org/class/yago/WikicatDeterminants> .