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MathNew.owl
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MathNew.owl
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<?xml version="1.0"?>
<!DOCTYPE rdf:RDF [
<!ENTITY foaf "http://xmlns.com/foaf/0.1/" >
<!ENTITY owl "http://www.w3.org/2002/07/owl#" >
<!ENTITY xsd "http://www.w3.org/2001/XMLSchema#" >
<!ENTITY schema "http://purl.org/vocab/aiiso/schema#" >
<!ENTITY rdfs "http://www.w3.org/2000/01/rdf-schema#" >
<!ENTITY learning "http://ailab.ifmo.ru/elearning/learning#" >
<!ENTITY rdf "http://www.w3.org/1999/02/22-rdf-syntax-ns#" >
]>
<rdf:RDF xmlns="http://ailab.ifmo.ru/elearning/math#"
xml:base="http://ailab.ifmo.ru/elearning/math"
xmlns:schema="http://purl.org/vocab/aiiso/schema#"
xmlns:rdfs="http://www.w3.org/2000/01/rdf-schema#"
xmlns:foaf="http://xmlns.com/foaf/0.1/"
xmlns:owl="http://www.w3.org/2002/07/owl#"
xmlns:xsd="http://www.w3.org/2001/XMLSchema#"
xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
xmlns:learning="http://ailab.ifmo.ru/elearning/learning#">
<owl:Ontology rdf:about="http://ailab.ifmo.ru/elearning/math">
<owl:imports rdf:resource="http://ailab.ifmo.ru/elearning/learning"/>
<owl:imports rdf:resource="http://xmlns.com/foaf/0.1/"/>
</owl:Ontology>
<!--
///////////////////////////////////////////////////////////////////////////////////////
//
// Annotation properties
//
///////////////////////////////////////////////////////////////////////////////////////
-->
<!-- http://ailab.ifmo.ru/elearning/math#relatesToField -->
<owl:AnnotationProperty rdf:about="http://ailab.ifmo.ru/elearning/math#relatesToField"/>
<!-- http://purl.org/vocab/aiiso/schema#description -->
<owl:AnnotationProperty rdf:about="&schema;description"/>
<!--
///////////////////////////////////////////////////////////////////////////////////////
//
// Classes
//
///////////////////////////////////////////////////////////////////////////////////////
-->
<!-- http://ailab.ifmo.ru/elearning/math#NamedIndividual -->
<owl:Class rdf:about="http://ailab.ifmo.ru/elearning/math#NamedIndividual"/>
<!--
///////////////////////////////////////////////////////////////////////////////////////
//
// Individuals
//
///////////////////////////////////////////////////////////////////////////////////////
-->
<!-- http://ailab.ifmo.ru/elearning/learning#AnalyticGeometryAndLinearAlgebra -->
<owl:NamedIndividual rdf:about="&learning;AnalyticGeometryAndLinearAlgebra">
<rdf:type rdf:resource="http://ailab.ifmo.ru/elearning/math#NamedIndividual"/>
<rdf:type rdf:resource="&schema;Course"/>
<rdfs:label rdf:datatype="&xsd;string">Аналитическая геометрия и линейная алгебра</rdfs:label>
<schema:description xml:lang="ru">Содержание дисциплины является логическим продолжением содержания школьного курса математики и содержит разделы: векторная алгебра, аналитическая геометрия, линейная алгебра.</schema:description>
<learning:hasModule rdf:resource="&learning;m_AnalyticGeometry"/>
<learning:hasModule rdf:resource="&learning;m_LinearAlgebra"/>
<learning:hasModule rdf:resource="&learning;m_VectorAlgebra"/>
<learning:hasResource rdf:resource="http://books.ifmo.ru/book/368/book_368.htm"/>
<learning:hasResource rdf:resource="http://books.ifmo.ru/book/437/book_437.htm"/>
<learning:hasResource rdf:resource="http://books.ifmo.ru/book/438/book_438.htm"/>
<learning:hasResource rdf:resource="http://books.ifmo.ru/book/441/book_441.htm"/>
<learning:hasResource rdf:resource="http://books.ifmo.ru/book/563/book_563.htm"/>
<learning:hasResource rdf:resource="http://books.ifmo.ru/book/724/book_724.htm"/>
<learning:hasResource rdf:resource="http://books.ifmo.ru/book/789/book_789.htm"/>
<learning:hasResource rdf:resource="http://books.ifmo.ru/book/916/book_916.htm"/>
<foaf:depiction rdf:resource="http://www.resolventa.ru/ris/linalg.jpg"/>
</owl:NamedIndividual>
<!-- http://ailab.ifmo.ru/elearning/learning#l_AStraightLineInSpaceTheRelativePositionOfLineAndPlaneInSpace -->
<owl:NamedIndividual rdf:about="&learning;l_AStraightLineInSpaceTheRelativePositionOfLineAndPlaneInSpace">
<rdf:type rdf:resource="&learning;Lecture"/>
<rdf:type rdf:resource="http://ailab.ifmo.ru/elearning/math#NamedIndividual"/>
<rdfs:label xml:lang="ru">Прямая линия в пространстве. Взаимное расположение прямой и плоскости в пространстве.</rdfs:label>
<learning:numberOfLecture rdf:datatype="&xsd;integer">10</learning:numberOfLecture>
<learning:previousLecture rdf:resource="&learning;l_TheLinearDependenceAndIndependenceOfVectorsBasesOnThePlaneAndInSpaceTheRectangularCartesianCoordinateSystem"/>
<learning:previousLecture rdf:resource="&learning;l_TheScalarProductAndItsProperties"/>
<learning:previousLecture rdf:resource="&learning;l_VectorProductAndItsProperties"/>
<learning:previousLecture rdf:resource="&learning;l_VectorsAndBasicLinearOperationsOverThem"/>
</owl:NamedIndividual>
<!-- http://ailab.ifmo.ru/elearning/learning#l_Curves2OrderEllipse -->
<owl:NamedIndividual rdf:about="&learning;l_Curves2OrderEllipse">
<rdf:type rdf:resource="&learning;Lecture"/>
<rdf:type rdf:resource="http://ailab.ifmo.ru/elearning/math#NamedIndividual"/>
<rdfs:label xml:lang="ru">Кривые 2 порядка. Эллипс</rdfs:label>
<learning:numberOfLecture rdf:datatype="&xsd;integer">11</learning:numberOfLecture>
<learning:previousLecture rdf:resource="&learning;l_TheEquationOfAStraightLineOnAPlane"/>
<learning:previousLecture rdf:resource="&learning;l_TheLinearDependenceAndIndependenceOfVectorsBasesOnThePlaneAndInSpaceTheRectangularCartesianCoordinateSystem"/>
<learning:previousLecture rdf:resource="&learning;l_TheMutualArrangementOfLinesInThePlaneTheDistanceFromThePointToTheLine"/>
</owl:NamedIndividual>
<!-- http://ailab.ifmo.ru/elearning/learning#l_Curves2OrderHyperbole -->
<owl:NamedIndividual rdf:about="&learning;l_Curves2OrderHyperbole">
<rdf:type rdf:resource="&learning;Lecture"/>
<rdf:type rdf:resource="http://ailab.ifmo.ru/elearning/math#NamedIndividual"/>
<rdfs:label xml:lang="ru">Кривые 2 порядка. Гипербола</rdfs:label>
<learning:numberOfLecture rdf:datatype="&xsd;integer">12</learning:numberOfLecture>
<learning:previousLecture rdf:resource="&learning;l_Curves2OrderEllipse"/>
<learning:previousLecture rdf:resource="&learning;l_TheEquationOfAStraightLineOnAPlane"/>
<learning:previousLecture rdf:resource="&learning;l_TheLinearDependenceAndIndependenceOfVectorsBasesOnThePlaneAndInSpaceTheRectangularCartesianCoordinateSystem"/>
<learning:previousLecture rdf:resource="&learning;l_TheMutualArrangementOfLinesInThePlaneTheDistanceFromThePointToTheLine"/>
</owl:NamedIndividual>
<!-- http://ailab.ifmo.ru/elearning/learning#l_Curves2OrderParabola -->
<owl:NamedIndividual rdf:about="&learning;l_Curves2OrderParabola">
<rdf:type rdf:resource="&learning;Lecture"/>
<rdf:type rdf:resource="http://ailab.ifmo.ru/elearning/math#NamedIndividual"/>
<rdfs:label xml:lang="ru">Кривые 2 порядка. Парабола</rdfs:label>
<learning:numberOfLecture rdf:datatype="&xsd;integer">13</learning:numberOfLecture>
<learning:previousLecture rdf:resource="&learning;l_Curves2OrderEllipse"/>
<learning:previousLecture rdf:resource="&learning;l_TheEquationOfAStraightLineOnAPlane"/>
<learning:previousLecture rdf:resource="&learning;l_TheLinearDependenceAndIndependenceOfVectorsBasesOnThePlaneAndInSpaceTheRectangularCartesianCoordinateSystem"/>
<learning:previousLecture rdf:resource="&learning;l_TheMutualArrangementOfLinesInThePlaneTheDistanceFromThePointToTheLine"/>
</owl:NamedIndividual>
<!-- http://ailab.ifmo.ru/elearning/learning#l_DeterminantsPropertiesOfDeterminants. -->
<owl:NamedIndividual rdf:about="&learning;l_DeterminantsPropertiesOfDeterminants.">
<rdf:type rdf:resource="&learning;Lecture"/>
<rdf:type rdf:resource="http://ailab.ifmo.ru/elearning/math#NamedIndividual"/>
<rdfs:label xml:lang="ru">Определители. Свойства определителей</rdfs:label>
<learning:numberOfLecture rdf:datatype="&xsd;integer">21</learning:numberOfLecture>
<learning:previousLecture rdf:resource="&learning;l_VectorProductAndItsProperties"/>
</owl:NamedIndividual>
<!-- http://ailab.ifmo.ru/elearning/learning#l_DoubleVectorProduct -->
<owl:NamedIndividual rdf:about="&learning;l_DoubleVectorProduct">
<rdf:type rdf:resource="&learning;Lecture"/>
<rdf:type rdf:resource="http://ailab.ifmo.ru/elearning/math#NamedIndividual"/>
<rdfs:label xml:lang="ru">Двойное векторное произведение</rdfs:label>
<learning:numberOfLecture rdf:datatype="&xsd;integer">6</learning:numberOfLecture>
<learning:previousLecture rdf:resource="&learning;l_TheMixedProductOfThreeVectors"/>
<learning:previousLecture rdf:resource="&learning;l_VectorProductAndItsProperties"/>
</owl:NamedIndividual>
<!-- http://ailab.ifmo.ru/elearning/learning#l_Ellipsoid -->
<owl:NamedIndividual rdf:about="&learning;l_Ellipsoid">
<rdf:type rdf:resource="&learning;Lecture"/>
<rdf:type rdf:resource="http://ailab.ifmo.ru/elearning/math#NamedIndividual"/>
<rdfs:label xml:lang="ru">Эллипсоид</rdfs:label>
<learning:numberOfLecture rdf:datatype="&xsd;integer">17</learning:numberOfLecture>
<learning:previousLecture rdf:resource="&learning;l_Curves2OrderEllipse"/>
</owl:NamedIndividual>
<!-- http://ailab.ifmo.ru/elearning/learning#l_Hyperboloids -->
<owl:NamedIndividual rdf:about="&learning;l_Hyperboloids">
<rdf:type rdf:resource="&learning;Lecture"/>
<rdf:type rdf:resource="http://ailab.ifmo.ru/elearning/math#NamedIndividual"/>
<rdfs:label xml:lang="ru">Гиперболоиды</rdfs:label>
<learning:numberOfLecture rdf:datatype="&xsd;integer">18</learning:numberOfLecture>
<learning:previousLecture rdf:resource="&learning;l_Curves2OrderHyperbole"/>
<learning:previousLecture rdf:resource="&learning;l_Ellipsoid"/>
</owl:NamedIndividual>
<!-- http://ailab.ifmo.ru/elearning/learning#l_LectureTheConicalSurface -->
<owl:NamedIndividual rdf:about="&learning;l_LectureTheConicalSurface">
<rdf:type rdf:resource="&learning;Lecture"/>
<rdf:type rdf:resource="http://ailab.ifmo.ru/elearning/math#NamedIndividual"/>
<rdfs:label xml:lang="ru">Коническая поверхность</rdfs:label>
<learning:numberOfLecture rdf:datatype="&xsd;integer">16</learning:numberOfLecture>
<learning:previousLecture rdf:resource="&learning;l_AStraightLineInSpaceTheRelativePositionOfLineAndPlaneInSpace"/>
<learning:previousLecture rdf:resource="&learning;l_Curves2OrderEllipse"/>
<learning:previousLecture rdf:resource="&learning;l_TheLinearDependenceAndIndependenceOfVectorsBasesOnThePlaneAndInSpaceTheRectangularCartesianCoordinateSystem"/>
</owl:NamedIndividual>
<!-- http://ailab.ifmo.ru/elearning/learning#l_LinearOperators -->
<owl:NamedIndividual rdf:about="&learning;l_LinearOperators">
<rdf:type rdf:resource="&learning;Lecture"/>
<rdf:type rdf:resource="http://ailab.ifmo.ru/elearning/math#NamedIndividual"/>
<rdfs:label xml:lang="ru">Линейные операторы</rdfs:label>
<learning:numberOfLecture rdf:datatype="&xsd;integer">26</learning:numberOfLecture>
<learning:previousLecture rdf:resource="&learning;l_DeterminantsPropertiesOfDeterminants."/>
<learning:previousLecture rdf:resource="&learning;l_LinearSpaces"/>
<learning:previousLecture rdf:resource="&learning;l_MatrixOperationsOnMatrices"/>
</owl:NamedIndividual>
<!-- http://ailab.ifmo.ru/elearning/learning#l_LinearSpaces -->
<owl:NamedIndividual rdf:about="&learning;l_LinearSpaces">
<rdf:type rdf:resource="&learning;Lecture"/>
<rdf:type rdf:resource="http://ailab.ifmo.ru/elearning/math#NamedIndividual"/>
<rdfs:label xml:lang="ru">Линейные пространства</rdfs:label>
<learning:numberOfLecture rdf:datatype="&xsd;integer">24</learning:numberOfLecture>
<learning:previousLecture rdf:resource="&learning;l_SystemsOfLinearEquations"/>
</owl:NamedIndividual>
<!-- http://ailab.ifmo.ru/elearning/learning#l_MatrixOperationsOnMatrices -->
<owl:NamedIndividual rdf:about="&learning;l_MatrixOperationsOnMatrices">
<rdf:type rdf:resource="&learning;Lecture"/>
<rdf:type rdf:resource="http://ailab.ifmo.ru/elearning/math#NamedIndividual"/>
<rdfs:label xml:lang="ru">Матрицы. Операции над матрицами</rdfs:label>
<learning:numberOfLecture rdf:datatype="&xsd;integer">20</learning:numberOfLecture>
<learning:previousLecture rdf:resource="&learning;l_TheLinearDependenceAndIndependenceOfVectorsBasesOnThePlaneAndInSpaceTheRectangularCartesianCoordinateSystem"/>
</owl:NamedIndividual>
<!-- http://ailab.ifmo.ru/elearning/learning#l_OccurrenceOfInterference -->
<owl:NamedIndividual rdf:about="&learning;l_OccurrenceOfInterference"/>
<!-- http://ailab.ifmo.ru/elearning/learning#l_Paraboloids -->
<owl:NamedIndividual rdf:about="&learning;l_Paraboloids">
<rdf:type rdf:resource="&learning;Lecture"/>
<rdf:type rdf:resource="http://ailab.ifmo.ru/elearning/math#NamedIndividual"/>
<rdfs:label xml:lang="ru">Параболоиды</rdfs:label>
<learning:numberOfLecture rdf:datatype="&xsd;integer">19</learning:numberOfLecture>
<learning:previousLecture rdf:resource="&learning;l_Curves2OrderEllipse"/>
<learning:previousLecture rdf:resource="&learning;l_Curves2OrderParabola"/>
<learning:previousLecture rdf:resource="&learning;l_Ellipsoid"/>
</owl:NamedIndividual>
<!-- http://ailab.ifmo.ru/elearning/learning#l_SubspaceOfALinearSpace -->
<owl:NamedIndividual rdf:about="&learning;l_SubspaceOfALinearSpace">
<rdf:type rdf:resource="&learning;Lecture"/>
<rdf:type rdf:resource="http://ailab.ifmo.ru/elearning/math#NamedIndividual"/>
<rdfs:label xml:lang="ru">Подпространства линейного пространства</rdfs:label>
<learning:numberOfLecture rdf:datatype="&xsd;integer">25</learning:numberOfLecture>
<learning:previousLecture rdf:resource="&learning;l_LinearSpaces"/>
</owl:NamedIndividual>
<!-- http://ailab.ifmo.ru/elearning/learning#l_SystemsOfLinearEquations -->
<owl:NamedIndividual rdf:about="&learning;l_SystemsOfLinearEquations">
<rdf:type rdf:resource="&learning;Lecture"/>
<rdf:type rdf:resource="http://ailab.ifmo.ru/elearning/math#NamedIndividual"/>
<rdfs:label xml:lang="ru">Системы линейных уравнений</rdfs:label>
<learning:numberOfLecture rdf:datatype="&xsd;integer">23</learning:numberOfLecture>
<learning:previousLecture rdf:resource="&learning;l_MatrixOperationsOnMatrices"/>
<learning:previousLecture rdf:resource="&learning;l_TheInverseMatrix"/>
<learning:previousLecture rdf:resource="&learning;l_TheLinearDependenceAndIndependenceOfVectorsBasesOnThePlaneAndInSpaceTheRectangularCartesianCoordinateSystem"/>
</owl:NamedIndividual>
<!-- http://ailab.ifmo.ru/elearning/learning#l_TheCoordinateTransformation -->
<owl:NamedIndividual rdf:about="&learning;l_TheCoordinateTransformation">
<rdf:type rdf:resource="&learning;Lecture"/>
<rdf:type rdf:resource="http://ailab.ifmo.ru/elearning/math#NamedIndividual"/>
<rdfs:label xml:lang="ru">Преобразование координат</rdfs:label>
<learning:numberOfLecture rdf:datatype="&xsd;integer">15</learning:numberOfLecture>
<learning:previousLecture rdf:resource="&learning;l_Curves2OrderEllipse"/>
<learning:previousLecture rdf:resource="&learning;l_Curves2OrderHyperbole"/>
<learning:previousLecture rdf:resource="&learning;l_Curves2OrderParabola"/>
<learning:previousLecture rdf:resource="&learning;l_TheLinearDependenceAndIndependenceOfVectorsBasesOnThePlaneAndInSpaceTheRectangularCartesianCoordinateSystem"/>
</owl:NamedIndividual>
<!-- http://ailab.ifmo.ru/elearning/learning#l_TheCylindricalSurfaces -->
<owl:NamedIndividual rdf:about="&learning;l_TheCylindricalSurfaces">
<rdf:type rdf:resource="&learning;Lecture"/>
<rdf:type rdf:resource="http://ailab.ifmo.ru/elearning/math#NamedIndividual"/>
<rdfs:label xml:lang="ru">Цилиндрические поверхности</rdfs:label>
<learning:numberOfLecture rdf:datatype="&xsd;integer">14</learning:numberOfLecture>
<learning:previousLecture rdf:resource="&learning;l_AStraightLineInSpaceTheRelativePositionOfLineAndPlaneInSpace"/>
<learning:previousLecture rdf:resource="&learning;l_Curves2OrderEllipse"/>
<learning:previousLecture rdf:resource="&learning;l_TheLinearDependenceAndIndependenceOfVectorsBasesOnThePlaneAndInSpaceTheRectangularCartesianCoordinateSystem"/>
</owl:NamedIndividual>
<!-- http://ailab.ifmo.ru/elearning/learning#l_TheEquationOfAStraightLineOnAPlane -->
<owl:NamedIndividual rdf:about="&learning;l_TheEquationOfAStraightLineOnAPlane">
<rdf:type rdf:resource="&learning;Lecture"/>
<rdf:type rdf:resource="http://ailab.ifmo.ru/elearning/math#NamedIndividual"/>
<rdfs:label xml:lang="ru">Уравнение прямой на плоскости</rdfs:label>
<learning:numberOfLecture rdf:datatype="&xsd;integer">7</learning:numberOfLecture>
<learning:previousLecture rdf:resource="&learning;l_TheLinearDependenceAndIndependenceOfVectorsBasesOnThePlaneAndInSpaceTheRectangularCartesianCoordinateSystem"/>
<learning:previousLecture rdf:resource="&learning;l_VectorsAndBasicLinearOperationsOverThem"/>
</owl:NamedIndividual>
<!-- http://ailab.ifmo.ru/elearning/learning#l_TheInverseMatrix -->
<owl:NamedIndividual rdf:about="&learning;l_TheInverseMatrix">
<rdf:type rdf:resource="&learning;Lecture"/>
<rdf:type rdf:resource="http://ailab.ifmo.ru/elearning/math#NamedIndividual"/>
<rdfs:label xml:lang="ru">Обратная матрица</rdfs:label>
<learning:numberOfLecture rdf:datatype="&xsd;integer">22</learning:numberOfLecture>
<learning:previousLecture rdf:resource="&learning;l_DeterminantsPropertiesOfDeterminants."/>
</owl:NamedIndividual>
<!-- http://ailab.ifmo.ru/elearning/learning#l_TheLinearDependenceAndIndependenceOfVectorsBasesOnThePlaneAndInSpaceTheRectangularCartesianCoordinateSystem -->
<owl:NamedIndividual rdf:about="&learning;l_TheLinearDependenceAndIndependenceOfVectorsBasesOnThePlaneAndInSpaceTheRectangularCartesianCoordinateSystem">
<rdf:type rdf:resource="&learning;Lecture"/>
<rdf:type rdf:resource="http://ailab.ifmo.ru/elearning/math#NamedIndividual"/>
<rdfs:label rdf:datatype="&xsd;string">Линейная зависимость и независимость векторов. Базисы на плоскости и в пространстве. Прямоугольная декартова система координат</rdfs:label>
<learning:numberOfLecture rdf:datatype="&xsd;integer">2</learning:numberOfLecture>
<learning:previousLecture rdf:resource="&learning;l_VectorsAndBasicLinearOperationsOverThem"/>
</owl:NamedIndividual>
<!-- http://ailab.ifmo.ru/elearning/learning#l_TheMixedProductOfThreeVectors -->
<owl:NamedIndividual rdf:about="&learning;l_TheMixedProductOfThreeVectors">
<rdf:type rdf:resource="&learning;Lecture"/>
<rdf:type rdf:resource="http://ailab.ifmo.ru/elearning/math#NamedIndividual"/>
<rdfs:label xml:lang="ru">Смешанное произведение трёх векторов</rdfs:label>
<learning:numberOfLecture rdf:datatype="&xsd;integer">5</learning:numberOfLecture>
<learning:previousLecture rdf:resource="&learning;l_TheScalarProductAndItsProperties"/>
<learning:previousLecture rdf:resource="&learning;l_VectorProductAndItsProperties"/>
</owl:NamedIndividual>
<!-- http://ailab.ifmo.ru/elearning/learning#l_TheMutualArrangementOfLinesInThePlaneTheDistanceFromThePointToTheLine -->
<owl:NamedIndividual rdf:about="&learning;l_TheMutualArrangementOfLinesInThePlaneTheDistanceFromThePointToTheLine">
<rdf:type rdf:resource="&learning;Lecture"/>
<rdf:type rdf:resource="http://ailab.ifmo.ru/elearning/math#NamedIndividual"/>
<rdfs:label xml:lang="ru">Взаимное расположение прямых на плоскости. Расстояние от точки до прямой</rdfs:label>
<learning:numberOfLecture rdf:datatype="&xsd;integer">8</learning:numberOfLecture>
<learning:previousLecture rdf:resource="&learning;l_TheEquationOfAStraightLineOnAPlane"/>
<learning:previousLecture rdf:resource="&learning;l_TheLinearDependenceAndIndependenceOfVectorsBasesOnThePlaneAndInSpaceTheRectangularCartesianCoordinateSystem"/>
<learning:previousLecture rdf:resource="&learning;l_VectorsAndBasicLinearOperationsOverThem"/>
</owl:NamedIndividual>
<!-- http://ailab.ifmo.ru/elearning/learning#l_ThePlaneEquation -->
<owl:NamedIndividual rdf:about="&learning;l_ThePlaneEquation">
<rdf:type rdf:resource="&learning;Lecture"/>
<rdf:type rdf:resource="http://ailab.ifmo.ru/elearning/math#NamedIndividual"/>
<rdfs:label xml:lang="ru">Уравнение плоскости</rdfs:label>
<learning:numberOfLecture rdf:datatype="&xsd;integer">9</learning:numberOfLecture>
<learning:previousLecture rdf:resource="&learning;l_TheLinearDependenceAndIndependenceOfVectorsBasesOnThePlaneAndInSpaceTheRectangularCartesianCoordinateSystem"/>
<learning:previousLecture rdf:resource="&learning;l_TheMixedProductOfThreeVectors"/>
<learning:previousLecture rdf:resource="&learning;l_TheScalarProductAndItsProperties"/>
<learning:previousLecture rdf:resource="&learning;l_VectorsAndBasicLinearOperationsOverThem"/>
</owl:NamedIndividual>
<!-- http://ailab.ifmo.ru/elearning/learning#l_TheScalarProductAndItsProperties -->
<owl:NamedIndividual rdf:about="&learning;l_TheScalarProductAndItsProperties">
<rdf:type rdf:resource="&learning;Lecture"/>
<rdf:type rdf:resource="http://ailab.ifmo.ru/elearning/math#NamedIndividual"/>
<rdfs:label xml:lang="ru">Скалярное произведение и его свойства</rdfs:label>
<learning:numberOfLecture rdf:datatype="&xsd;integer">3</learning:numberOfLecture>
<learning:previousLecture rdf:resource="&learning;l_TheLinearDependenceAndIndependenceOfVectorsBasesOnThePlaneAndInSpaceTheRectangularCartesianCoordinateSystem"/>
<learning:previousLecture rdf:resource="&learning;l_VectorsAndBasicLinearOperationsOverThem"/>
</owl:NamedIndividual>
<!-- http://ailab.ifmo.ru/elearning/learning#l_VectorProductAndItsProperties -->
<owl:NamedIndividual rdf:about="&learning;l_VectorProductAndItsProperties">
<rdf:type rdf:resource="&learning;Lecture"/>
<rdf:type rdf:resource="http://ailab.ifmo.ru/elearning/math#NamedIndividual"/>
<rdfs:label xml:lang="ru">Векторное произведение и его свойства</rdfs:label>
<learning:numberOfLecture rdf:datatype="&xsd;integer">4</learning:numberOfLecture>
<learning:previousLecture rdf:resource="&learning;l_VectorsAndBasicLinearOperationsOverThem"/>
</owl:NamedIndividual>
<!-- http://ailab.ifmo.ru/elearning/learning#l_VectorsAndBasicLinearOperationsOverThem -->
<owl:NamedIndividual rdf:about="&learning;l_VectorsAndBasicLinearOperationsOverThem">
<rdf:type rdf:resource="&learning;Lecture"/>
<rdf:type rdf:resource="http://ailab.ifmo.ru/elearning/math#NamedIndividual"/>
<rdfs:label rdf:datatype="&xsd;string">Векторы и основные линейные операции над ними</rdfs:label>
<learning:numberOfLecture rdf:datatype="&xsd;integer">1</learning:numberOfLecture>
</owl:NamedIndividual>
<!-- http://ailab.ifmo.ru/elearning/learning#l_l_MethodOfDividingTheWavefrontyoungExperience -->
<owl:NamedIndividual rdf:about="&learning;l_l_MethodOfDividingTheWavefrontyoungExperience"/>
<!-- http://ailab.ifmo.ru/elearning/learning#m_AnalyticGeometry -->
<owl:NamedIndividual rdf:about="&learning;m_AnalyticGeometry">
<rdf:type rdf:resource="http://ailab.ifmo.ru/elearning/math#NamedIndividual"/>
<rdf:type rdf:resource="&schema;Module"/>
<rdfs:label xml:lang="ru">Аналитическая геометрия</rdfs:label>
<learning:numberOfModule rdf:datatype="&xsd;integer">2</learning:numberOfModule>
<learning:hasLecture rdf:resource="&learning;l_AStraightLineInSpaceTheRelativePositionOfLineAndPlaneInSpace"/>
<learning:hasLecture rdf:resource="&learning;l_Curves2OrderEllipse"/>
<learning:hasLecture rdf:resource="&learning;l_Curves2OrderHyperbole"/>
<learning:hasLecture rdf:resource="&learning;l_Curves2OrderParabola"/>
<learning:hasLecture rdf:resource="&learning;l_Ellipsoid"/>
<learning:hasLecture rdf:resource="&learning;l_Hyperboloids"/>
<learning:hasLecture rdf:resource="&learning;l_LectureTheConicalSurface"/>
<learning:hasLecture rdf:resource="&learning;l_Paraboloids"/>
<learning:hasLecture rdf:resource="&learning;l_TheCoordinateTransformation"/>
<learning:hasLecture rdf:resource="&learning;l_TheCylindricalSurfaces"/>
<learning:hasLecture rdf:resource="&learning;l_TheEquationOfAStraightLineOnAPlane"/>
<learning:hasLecture rdf:resource="&learning;l_TheMutualArrangementOfLinesInThePlaneTheDistanceFromThePointToTheLine"/>
<learning:hasLecture rdf:resource="&learning;l_ThePlaneEquation"/>
</owl:NamedIndividual>
<!-- http://ailab.ifmo.ru/elearning/learning#m_LinearAlgebra -->
<owl:NamedIndividual rdf:about="&learning;m_LinearAlgebra">
<rdf:type rdf:resource="http://ailab.ifmo.ru/elearning/math#NamedIndividual"/>
<rdf:type rdf:resource="&schema;Module"/>
<rdfs:label xml:lang="ru">Линейная алгебра</rdfs:label>
<learning:numberOfModule rdf:datatype="&xsd;integer">3</learning:numberOfModule>
<learning:hasLecture rdf:resource="&learning;l_DeterminantsPropertiesOfDeterminants."/>
<learning:hasLecture rdf:resource="&learning;l_LinearOperators"/>
<learning:hasLecture rdf:resource="&learning;l_LinearSpaces"/>
<learning:hasLecture rdf:resource="&learning;l_MatrixOperationsOnMatrices"/>
<learning:hasLecture rdf:resource="&learning;l_SubspaceOfALinearSpace"/>
<learning:hasLecture rdf:resource="&learning;l_SystemsOfLinearEquations"/>
<learning:hasLecture rdf:resource="&learning;l_TheInverseMatrix"/>
</owl:NamedIndividual>
<!-- http://ailab.ifmo.ru/elearning/learning#m_VectorAlgebra -->
<owl:NamedIndividual rdf:about="&learning;m_VectorAlgebra">
<rdf:type rdf:resource="http://ailab.ifmo.ru/elearning/math#NamedIndividual"/>
<rdf:type rdf:resource="&schema;Module"/>
<rdfs:label xml:lang="ru">Векторная алгебра</rdfs:label>
<learning:numberOfModule rdf:datatype="&xsd;integer">1</learning:numberOfModule>
<learning:hasLecture rdf:resource="&learning;l_DoubleVectorProduct"/>
<learning:hasLecture rdf:resource="&learning;l_TheLinearDependenceAndIndependenceOfVectorsBasesOnThePlaneAndInSpaceTheRectangularCartesianCoordinateSystem"/>
<learning:hasLecture rdf:resource="&learning;l_TheMixedProductOfThreeVectors"/>
<learning:hasLecture rdf:resource="&learning;l_TheScalarProductAndItsProperties"/>
<learning:hasLecture rdf:resource="&learning;l_VectorProductAndItsProperties"/>
<learning:hasLecture rdf:resource="&learning;l_VectorsAndBasicLinearOperationsOverThem"/>
</owl:NamedIndividual>
<!-- http://ailab.ifmo.ru/elearning/learning#t_AColumnVectorARowVector -->
<owl:NamedIndividual rdf:about="&learning;t_AColumnVectorARowVector">
<learning:previousTerm rdf:resource="&learning;t_ApplicateAxis"/>
<learning:previousTerm rdf:resource="&learning;t_BasisInTheSpace"/>
<learning:previousTerm rdf:resource="&learning;t_Orthonormal"/>
<learning:previousTerm rdf:resource="&learning;t_TheAngleBetweenTheVectorAndTheAxis"/>
<learning:previousTerm rdf:resource="&learning;t_TheDirectionCosinesOfTheVector"/>
<relatesToField rdf:resource="http://ailab.ifmo.ru/elearning/math#LinearAlgebra"/>
</owl:NamedIndividual>
<!-- http://ailab.ifmo.ru/elearning/learning#t_ALinearCombination -->
<owl:NamedIndividual rdf:about="&learning;t_ALinearCombination">
<learning:previousTerm rdf:resource="&learning;t_CramersMethod"/>
<learning:previousTerm rdf:resource="&learning;t_ElementaryMatrixTransformation"/>
<learning:previousTerm rdf:resource="&learning;t_JointOrSolvableSystem"/>
<learning:previousTerm rdf:resource="&learning;t_KroneckerCapelliTheorem"/>
<learning:previousTerm rdf:resource="&learning;t_Minor"/>
<learning:previousTerm rdf:resource="&learning;t_TheMatrixMethod"/>
<relatesToField rdf:resource="http://ailab.ifmo.ru/elearning/math#LinearAlgebra"/>
</owl:NamedIndividual>
<!-- http://ailab.ifmo.ru/elearning/learning#t_ALinearMappingAVectorSpace -->
<owl:NamedIndividual rdf:about="&learning;t_ALinearMappingAVectorSpace">
<learning:previousTerm rdf:resource="&learning;t_ASquareMatrix"/>
<learning:previousTerm rdf:resource="&learning;t_CoordinateTransformationWhenChangingBase"/>
<learning:previousTerm rdf:resource="&learning;t_ProcedureMatrix"/>
<learning:previousTerm rdf:resource="&learning;t_Rearrange"/>
<learning:previousTerm rdf:resource="&learning;t_SymmetricMatrix"/>
<learning:previousTerm rdf:resource="&learning;t_TheAxiomsOfALinearSpace"/>
<learning:previousTerm rdf:resource="&learning;t_TheDeterminantOrDeterminantOfAMatrix"/>
<relatesToField rdf:resource="http://ailab.ifmo.ru/elearning/math#LinearAlgebra"/>
</owl:NamedIndividual>
<!-- http://ailab.ifmo.ru/elearning/learning#t_ANecessaryAndSufficientConditionForCoplanarityOfThreeVectors -->
<owl:NamedIndividual rdf:about="&learning;t_ANecessaryAndSufficientConditionForCoplanarityOfThreeVectors">
<learning:previousTerm rdf:resource="&learning;t_ANecessaryAndSufficientConditionForTheCollinearityOfTwoNonzeroVectors"/>
<learning:previousTerm rdf:resource="&learning;t_ANecessaryAndSufficientConditionForTwoOrthogonalVectors"/>
<learning:previousTerm rdf:resource="&learning;t_PropertiesOfTheScalarProduct"/>
<learning:previousTerm rdf:resource="&learning;t_ProportionalityCoordinates"/>
<learning:previousTerm rdf:resource="&learning;t_TheDeterminantOfTheSecondAndThirdOrder"/>
<relatesToField rdf:resource="http://ailab.ifmo.ru/elearning/math#VectorAlgebra"/>
</owl:NamedIndividual>
<!-- http://ailab.ifmo.ru/elearning/learning#t_ANecessaryAndSufficientConditionForTheCollinearityOfTwoNonzeroVectors -->
<owl:NamedIndividual rdf:about="&learning;t_ANecessaryAndSufficientConditionForTheCollinearityOfTwoNonzeroVectors">
<learning:previousTerm rdf:resource="&learning;t_CollinearVectors"/>
<learning:previousTerm rdf:resource="&learning;t_FreeVector"/>
<learning:previousTerm rdf:resource="&learning;t_MultiplicationOfAVectorByTheNumber"/>
<learning:previousTerm rdf:resource="&learning;t_Orth"/>
<learning:previousTerm rdf:resource="&learning;t_TheSumOfVectors"/>
<learning:previousTerm rdf:resource="&learning;t_Vector"/>
<relatesToField rdf:resource="http://ailab.ifmo.ru/elearning/math#VectorAlgebra"/>
</owl:NamedIndividual>
<!-- http://ailab.ifmo.ru/elearning/learning#t_ANecessaryAndSufficientConditionForTwoOrthogonalVectors -->
<owl:NamedIndividual rdf:about="&learning;t_ANecessaryAndSufficientConditionForTwoOrthogonalVectors">
<learning:previousTerm rdf:resource="&learning;t_ApplicateAxis"/>
<learning:previousTerm rdf:resource="&learning;t_BasisOnThePlane"/>
<learning:previousTerm rdf:resource="&learning;t_CoordinatesOfThePoint"/>
<learning:previousTerm rdf:resource="&learning;t_LengthOrModuleOfTheVector"/>
<learning:previousTerm rdf:resource="&learning;t_TheDirectionCosinesOfTheVector"/>
<learning:previousTerm rdf:resource="&learning;t_TheDistanceBetweenThePoints"/>
<relatesToField rdf:resource="http://ailab.ifmo.ru/elearning/math#VectorAlgebra"/>
</owl:NamedIndividual>
<!-- http://ailab.ifmo.ru/elearning/learning#t_ANonDegenerateOperator -->
<owl:NamedIndividual rdf:about="&learning;t_ANonDegenerateOperator">
<learning:previousTerm rdf:resource="&learning;t_EvenAndOddPermutations"/>
<learning:previousTerm rdf:resource="&learning;t_Rearrange"/>
<learning:previousTerm rdf:resource="&learning;t_SkewSymmetricMatrix"/>
<learning:previousTerm rdf:resource="&learning;t_SumMatrix"/>
<learning:previousTerm rdf:resource="&learning;t_TheIdentityMatrix"/>
<learning:previousTerm rdf:resource="&learning;t_TheInfiniteDimensionalVectorSpace"/>
<learning:previousTerm rdf:resource="&learning;t_TheTransitionMatrix"/>
<relatesToField rdf:resource="http://ailab.ifmo.ru/elearning/math#LinearAlgebra"/>
</owl:NamedIndividual>
<!-- http://ailab.ifmo.ru/elearning/learning#t_ASquareMatrix -->
<owl:NamedIndividual rdf:about="&learning;t_ASquareMatrix">
<learning:previousTerm rdf:resource="&learning;t_BasisOnThePlane"/>
<learning:previousTerm rdf:resource="&learning;t_LinearOperationsOnTheProjectionsOfTheVectorOnTheAxle"/>
<learning:previousTerm rdf:resource="&learning;t_OrdinateAxis"/>
<learning:previousTerm rdf:resource="&learning;t_Orthonormal"/>
<learning:previousTerm rdf:resource="&learning;t_TheDirectionCosinesOfTheVector"/>
<learning:previousTerm rdf:resource="&learning;t_TheDistanceBetweenThePoints"/>
<relatesToField rdf:resource="http://ailab.ifmo.ru/elearning/math#LinearAlgebra"/>
</owl:NamedIndividual>
<!-- http://ailab.ifmo.ru/elearning/learning#t_ASufficientConditionForTheNDimensionOfSpace -->
<owl:NamedIndividual rdf:about="&learning;t_ASufficientConditionForTheNDimensionOfSpace">
<learning:previousTerm rdf:resource="&learning;t_AffiliateOrAlliedMatrix"/>
<learning:previousTerm rdf:resource="&learning;t_InhomogeneousSystemOfLinearEquations"/>
<learning:previousTerm rdf:resource="&learning;t_TheLinearEquation"/>
<learning:previousTerm rdf:resource="&learning;t_TheMainSystemMatrixOrAMatrixOfCoefficients"/>
<learning:previousTerm rdf:resource="&learning;t_TheSystemOfLinearEquations"/>
<relatesToField rdf:resource="http://ailab.ifmo.ru/elearning/math#LinearAlgebra"/>
</owl:NamedIndividual>
<!-- http://ailab.ifmo.ru/elearning/learning#t_ASweepingTheChordAndTheDiameterOfSecondOrderLines -->
<owl:NamedIndividual rdf:about="&learning;t_ASweepingTheChordAndTheDiameterOfSecondOrderLines">
<learning:previousTerm rdf:resource="&learning;t_Circle"/>
<learning:previousTerm rdf:resource="&learning;t_CrossParallelLinesOnThePlane"/>
<learning:previousTerm rdf:resource="&learning;t_EquationOfALineOnThePlaneInPieces"/>
<learning:previousTerm rdf:resource="&learning;t_TheAngleBetweenTheVectorAndTheAxis"/>
<learning:previousTerm rdf:resource="&learning;t_TheFocalRange"/>
<relatesToField rdf:resource="http://ailab.ifmo.ru/elearning/math#AnalyticGeometry"/>
</owl:NamedIndividual>
<!-- http://ailab.ifmo.ru/elearning/learning#t_AbscissaAxis -->
<owl:NamedIndividual rdf:about="&learning;t_AbscissaAxis">
<learning:previousTerm rdf:resource="&learning;t_CollinearVectors"/>
<learning:previousTerm rdf:resource="&learning;t_FreeVector"/>
<learning:previousTerm rdf:resource="&learning;t_LengthOrModuleOfTheVector"/>
<learning:previousTerm rdf:resource="&learning;t_MultiplicationOfAVectorByTheNumber"/>
<learning:previousTerm rdf:resource="&learning;t_Orth"/>
<learning:previousTerm rdf:resource="&learning;t_TheSumOfVectors"/>
<learning:previousTerm rdf:resource="&learning;t_Vector"/>
<relatesToField rdf:resource="http://ailab.ifmo.ru/elearning/math#VectorAlgebra"/>
</owl:NamedIndividual>
<!-- http://ailab.ifmo.ru/elearning/learning#t_AffiliateOrAlliedMatrix -->
<owl:NamedIndividual rdf:about="&learning;t_AffiliateOrAlliedMatrix">
<learning:previousTerm rdf:resource="&learning;t_EvenAndOddPermutations"/>
<learning:previousTerm rdf:resource="&learning;t_HomePermutation"/>
<learning:previousTerm rdf:resource="&learning;t_Inversion"/>
<learning:previousTerm rdf:resource="&learning;t_Rearrange"/>
<learning:previousTerm rdf:resource="&learning;t_TheDeterminantOrDeterminantOfAMatrix"/>
<learning:previousTerm rdf:resource="&learning;t_Transposition"/>
<relatesToField rdf:resource="http://ailab.ifmo.ru/elearning/math#LinearAlgebra"/>
</owl:NamedIndividual>
<!-- http://ailab.ifmo.ru/elearning/learning#t_AlgebraicComplement -->
<owl:NamedIndividual rdf:about="&learning;t_AlgebraicComplement">
<learning:previousTerm rdf:resource="&learning;t_EvenAndOddPermutations"/>
<learning:previousTerm rdf:resource="&learning;t_HomePermutation"/>
<learning:previousTerm rdf:resource="&learning;t_Inversion"/>
<learning:previousTerm rdf:resource="&learning;t_Rearrange"/>
<learning:previousTerm rdf:resource="&learning;t_TheDeterminantOrDeterminantOfAMatrix"/>
<learning:previousTerm rdf:resource="&learning;t_Transposition"/>
<relatesToField rdf:resource="http://ailab.ifmo.ru/elearning/math#LinearAlgebra"/>
</owl:NamedIndividual>
<!-- http://ailab.ifmo.ru/elearning/learning#t_AnAlgorithmForConstructingTheInverse -->
<owl:NamedIndividual rdf:about="&learning;t_AnAlgorithmForConstructingTheInverse">
<learning:previousTerm rdf:resource="&learning;t_EvenAndOddPermutations"/>
<learning:previousTerm rdf:resource="&learning;t_HomePermutation"/>
<learning:previousTerm rdf:resource="&learning;t_Inversion"/>
<learning:previousTerm rdf:resource="&learning;t_Rearrange"/>
<learning:previousTerm rdf:resource="&learning;t_TheDeterminantOrDeterminantOfAMatrix"/>
<learning:previousTerm rdf:resource="&learning;t_Transposition"/>
<relatesToField rdf:resource="http://ailab.ifmo.ru/elearning/math#LinearAlgebra"/>
</owl:NamedIndividual>
<!-- http://ailab.ifmo.ru/elearning/learning#t_ApplicateAxis -->
<owl:NamedIndividual rdf:about="&learning;t_ApplicateAxis">
<learning:previousTerm rdf:resource="&learning;t_CollinearVectors"/>
<learning:previousTerm rdf:resource="&learning;t_FreeVector"/>
<learning:previousTerm rdf:resource="&learning;t_LengthOrModuleOfTheVector"/>
<learning:previousTerm rdf:resource="&learning;t_MultiplicationOfAVectorByTheNumber"/>
<learning:previousTerm rdf:resource="&learning;t_Orth"/>
<learning:previousTerm rdf:resource="&learning;t_TheSumOfVectors"/>
<learning:previousTerm rdf:resource="&learning;t_Vector"/>
<relatesToField rdf:resource="http://ailab.ifmo.ru/elearning/math#VectorAlgebra"/>
</owl:NamedIndividual>
<!-- http://ailab.ifmo.ru/elearning/learning#t_ArtworkByTheOperator -->
<owl:NamedIndividual rdf:about="&learning;t_ArtworkByTheOperator">
<learning:previousTerm rdf:resource="&learning;t_CoordinatesNDimensionalVector"/>
<learning:previousTerm rdf:resource="&learning;t_DiagonalMatrix"/>
<learning:previousTerm rdf:resource="&learning;t_HomePermutation"/>
<learning:previousTerm rdf:resource="&learning;t_NDimensionalVectorSpace"/>
<learning:previousTerm rdf:resource="&learning;t_ScalarMatrix"/>
<learning:previousTerm rdf:resource="&learning;t_TheDeterminantOrDeterminantOfAMatrix"/>
<relatesToField rdf:resource="http://ailab.ifmo.ru/elearning/math#LinearAlgebra"/>
</owl:NamedIndividual>
<!-- http://ailab.ifmo.ru/elearning/learning#t_AsymptotesToAHyperbola -->
<owl:NamedIndividual rdf:about="&learning;t_AsymptotesToAHyperbola">
<learning:previousTerm rdf:resource="&learning;t_BasisOnThePlane"/>
<learning:previousTerm rdf:resource="&learning;t_EccentricityEllipse"/>
<learning:previousTerm rdf:resource="&learning;t_Focuses"/>
<learning:previousTerm rdf:resource="&learning;t_LinearDependence"/>
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