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(1.2.6)--英3.2.3 Properties of linear 2线性代数线性代数
linearAlgebra3.2.2PropertiesoflinearCorrelationofVectorGroupsTheorem6VectorgroupA:islinearlydependent,ÛTherankofthematrixA=()<m(thenumberofvectors).VectorgroupA:islinearlyindependent,ÛTherankofthematrixA=()=m(thenumberofvectors).Note:1)Theconclusionalsoholdsfortherowvectorcase.ExampleDeterminethelinearcorrelationofvectorgroupSolution:LetObviously,usingTheorem6todeterminethecorrelationisverysi...
2024-06-080443.75 KB0
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(1.2.4)--英3.2.1 Definition of linear Depe线性代数线性代数
linearAlgebra3.2.1DefinitionoflinearDependentofVectorGroupsandarecollinearGeometry:Thereisauniquerealscalark,suchthat=kTherearerealscalarssuchthat.Geometry:𝑘2¿𝑘1+𝑘2andarenotcollinear;and,arecoplanar.TherearerealscalarssuchthatTherearerealscalarssuchthatDefinitionVectorgroupislinearlydependent,iftherearescalarsthatarenotallzero,suchthatOtherwise,itisca...
2024-06-080522.53 KB0
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(1.2.3)--英3.1.3 linear Representation and线性代数线性代数
linearAlgebra3.1.3linearRepresentationandEquivalentofVectorGroups1.RelationshipBetweenVectorGroupsVectorgroupislinearlyrepresentedbyvectorgroupifeachvectorinthegroupcanberepresentedbythevectorsinthegroup.𝐵canbelinearlyrepresentedbyForexample,2030,1001,ButB:2030cannotbelinearlyrepresentedby1001,Definition,Proof:GivenSincevectorgroupislinearlyrepresentedbyvectorgroup,𝐴𝐵therearescalarssuchthatC...
2024-06-080261.35 KB0
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A linear Programming Formulation for Global Inference in Natural Language Tasks （自然语言任务中全局推理的线性规划公式）
AlinearProgrammingFormulationforGlobalInferenceinNaturalLanguageTasksDanRothWen-tauYihDepartmentofComputerScienceUniversityofIllinoisatUrbana-ChampaignPage2NaturalLanguageUnderstandingViewofSolvingNLPProblemsPOSTaggingChunkingParsingWordSenseDisambiguationNamedEntityRecognitionCoreferenceResolutionSemanticRoleLabelingPage3WeaknessesofPipelineModelPropagationoferrorsBi-Directionalinteraction...
2024-04-270588.5 KB0
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(1.2.6)--英3.2.3 Properties of linear 2线性代数线性代数

(1.2.4)--英3.2.1 Definition of linear Depe线性代数线性代数

(1.2.3)--英3.1.3 linear Representation and线性代数线性代数

A linear Programming Formulation for Global Inference in Natural Language Tasks （自然语言任务中全局推理的线性规划公式）