Quellcodebibliothek Statistik Leitseite products/Sources/formale Sprachen/GAP/pkg/fr/doc/   (Algebra von RWTH Aachen Version 4.15.1©)  Datei vom 11.0.2024 mit Größe 29 kB image not shown  

Quelle  manual.lab   Sprache: unbekannt

 
\GAPDocLabFile{fr}
\makelabel{fr:Title page}{}{X7D2C85EC87DD46E5}
\makelabel{fr:Abstract}{}{X7AA6C5737B711C89}
\makelabel{fr:Copyright}{}{X81488B807F2A1CF1}
\makelabel{fr:Acknowledgements}{}{X82A988D47DFAFCFA}
\makelabel{fr:Colophon}{}{X7982162280BC7A61}
\makelabel{fr:Table of Contents}{}{X8537FEB07AF2BEC8}
\makelabel{fr:Licensing}{1}{X86DB23CC834ABD71}
\makelabel{fr:FR package}{2}{X7ADCE68284FB4ACF}
\makelabel{fr:A brief mathematical introduction}{2.1}{X80C332C686212786}
\makelabel{fr:An example session}{2.2}{X78DF4DE18260BD80}
\makelabel{fr:Functionally recursive machines}{3}{X7D65CA8B876E514C}
\makelabel{fr:Types of machines}{3.1}{X7D52F7ED83E2D153}
\makelabel{fr:Products of machines}{3.2}{X7EB36FBB78F4F26A}
\makelabel{fr:Creators for FRMachines}{3.3}{X828640667D2E5280}
\makelabel{fr:Attributes for FRMachines}{3.4}{X8753FA157B2AD6DC}
\makelabel{fr:Operations for FRMachines}{3.5}{X8158A8307CA98A3D}
\makelabel{fr:Functionally recursive elements}{4}{X863D82207A1320F1}
\makelabel{fr:Creators for FRElements}{4.1}{X79DE08CD7EE57360}
\makelabel{fr:Operations and Attributes for FRElements}{4.2}{X812C932C7E2F2885}
\makelabel{fr:Mealy machines and elements}{5}{X7C77EBC17DEF4CF6}
\makelabel{fr:Creators for MealyMachines and MealyElements}{5.1}{X846B89F686B50AE1}
\makelabel{fr:Operations and Attributes for MealyMachines and MealyElements}{5.2}{X7F673D877B205708}
\makelabel{fr:Linear machines and elements}{6}{X84AD415C872BFB91}
\makelabel{fr:Methods and operations for LinearFRMachines and LinearFRElements}{6.1}{X812C0F7B7A31FCEF}
\makelabel{fr:Self-similar groups, monoids and semigroups}{7}{X86C0E6F083DCCDC8}
\makelabel{fr:Creators for FR semigroups}{7.1}{X80A26BAA7B53C1BD}
\makelabel{fr:Operations for FR semigroups}{7.2}{X84E20571841DE1E4}
\makelabel{fr:Properties for infinite groups}{7.3}{X7E8485A081EBB3AA}
\makelabel{fr:Algebras}{8}{X7DDBF6F47A2E021C}
\makelabel{fr:Creators for FR algebras}{8.1}{X842EE9427C63F92E}
\makelabel{fr:Operations for FR algebras}{8.2}{X7EFB4F2E7E908B9F}
\makelabel{fr:Examples}{9}{X7A489A5D79DA9E5C}
\makelabel{fr:Examples of groups}{9.1}{X7AF5DEF08531AFA5}
\makelabel{fr:Examples of semigroups}{9.2}{X81B82FA1811AAF8D}
\makelabel{fr:Examples of algebras}{9.3}{X803B02408573A30E}
\makelabel{fr:Bacher's determinant identities}{9.4}{X7989134C83AF38AE}
\makelabel{fr:VH groups}{9.5}{X7C4A51947E1609A8}
\makelabel{fr:FR implementation details}{10}{X86D6616E868AF75C}
\makelabel{fr:The family of FR objects}{10.1}{X79719CD17A948933}
\makelabel{fr:Filters for FRObjects}{10.2}{X856A3AD87C93FC1F}
\makelabel{fr:Some of the algorithms implemented}{10.3}{X7E97015E8153F782}
\makelabel{fr:Order of FR elements}{10.3.2}{X84B4FF607DA18152}
\makelabel{fr:Membership in semigroups}{10.3.3}{X847B4AFF809D2A56}
\makelabel{fr:The conjugacy problem}{10.3.4}{X7F24533B7F846FC4}
\makelabel{fr:Order of groups}{10.3.8}{X7A0AC96784ACE0BE}
\makelabel{fr:Images and preimages of some groups in f.p. and l.p. groups}{10.3.9}{X8329884F790E1542}
\makelabel{fr:Comparison of FR, Mealy, vector, and algebra elements}{10.3.10}{X7F4247367D1EBEB9}
\makelabel{fr:Inverses of linear elements}{10.3.11}{X81F95FEB7C72ABFF}
\makelabel{fr:Miscellanea}{11}{X785C6C0B80936CC8}
\makelabel{fr:Generic operations}{11.1}{X783AA02C7BEF48A9}
\makelabel{fr:Periodic lists}{11.2}{X816865747DD51C11}
\makelabel{fr:Word growth}{11.3}{X7A336C66855E632D}
\makelabel{fr:Finding short relations}{11.4}{X791D4D398201C17D}
\makelabel{fr:Braid groups}{11.5}{X82712E6C815DB9B2}
\makelabel{fr:Dirichlet series}{11.6}{X839ED1F982DB3469}
\makelabel{fr:Projective representations}{11.7}{X86256BD187D9A7FF}
\makelabel{fr:Miscellanea}{11.8}{X785C6C0B80936CC8}
\makelabel{fr:User settings}{11.9}{X7ADFF37084706CEC}
\makelabel{fr:Bibliography}{Bib}{X7A6F98FD85F02BFE}
\makelabel{fr:References}{Bib}{X7A6F98FD85F02BFE}
\makelabel{fr:Index}{Ind}{X83A0356F839C696F}
\makelabel{fr:FRMachineNC family,free,listlist,list}{3.3.1}{X80D310EF7FD5EA44}
\makelabel{fr:FRMachine [list,]list,list}{3.3.2}{X808F3BD97EDA8CE8}
\makelabel{fr:FRMachine semigroup,list,list}{3.3.2}{X808F3BD97EDA8CE8}
\makelabel{fr:UnderlyingFRMachine}{3.3.3}{X7C383F4383D22BFC}
\makelabel{fr:AsGroupFRMachine}{3.3.4}{X7BF186227C0ABE8D}
\makelabel{fr:AsMonoidFRMachine}{3.3.4}{X7BF186227C0ABE8D}
\makelabel{fr:AsSemigroupFRMachine}{3.3.4}{X7BF186227C0ABE8D}
\makelabel{fr:AsGroupFRMachine endomorphism}{3.3.5}{X78130FC97C58AFC4}
\makelabel{fr:AsMonoidFRMachine endomorphism}{3.3.5}{X78130FC97C58AFC4}
\makelabel{fr:AsSemigroupFRMachine endomorphism}{3.3.5}{X78130FC97C58AFC4}
\makelabel{fr:StateSet FR machine}{3.4.1}{X8000470D7DA7FFBD}
\makelabel{fr:GeneratorsOfFRMachine}{3.4.2}{X7F77F5DD789FA2F4}
\makelabel{fr:Output FR machine}{3.4.3}{X7DBC41D4808979BC}
\makelabel{fr:Output FR machine,state}{3.4.3}{X7DBC41D4808979BC}
\makelabel{fr:Output FR machine,state,letter}{3.4.3}{X7DBC41D4808979BC}
\makelabel{fr:Transition FR machine,state,input}{3.4.4}{X7AEE87BC8393FA54}
\makelabel{fr:Transitions FR machine,state}{3.4.5}{X82B3A8AB80B5E181}
\makelabel{fr:WreathRecursion}{3.4.6}{X7D95D1498586E5D0}
\makelabel{fr:StructuralGroup}{3.5.1}{X8289C2F77D67EDC3}
\makelabel{fr:StructuralMonoid}{3.5.1}{X8289C2F77D67EDC3}
\makelabel{fr:StructuralSemigroup}{3.5.1}{X8289C2F77D67EDC3}
\makelabel{fr:TensorSumOp FR Machines}{3.5.4}{X7C0677148107F7FE}
\makelabel{fr:TensorProductOp FR Machines}{3.5.5}{X8077C8A47E22FCB5}
\makelabel{fr:DirectSumOp FR Machines}{3.5.6}{X7D248C737D29A7CC}
\makelabel{fr:DirectProductOp FR Machines}{3.5.7}{X81456F10820CAC87}
\makelabel{fr:TreeWreathProduct FR machine}{3.5.8}{X7A0858097AA3FBDA}
\makelabel{fr:SubFRMachine}{3.5.9}{X811B5BF17A3FE577}
\makelabel{fr:SubFRMachine machine,map}{3.5.9}{X811B5BF17A3FE577}
\makelabel{fr:ChangeFRMachineBasis}{3.5.10}{X814F53B97C3F43F5}
\makelabel{fr:Minimized FR machine}{3.5.11}{X81B382BD81B2BD34}
\makelabel{fr:Correspondence FR machine}{3.5.12}{X7C107A42815F91DA}
\makelabel{fr:FRElementNC family,free,listlist,list,assocword}{4.1.1}{X7839813183881054}
\makelabel{fr:FRElement [list,]list,list,list}{4.1.2}{X7CF5EDEB874BF9E3}
\makelabel{fr:FRElement semigroup,list,list,list}{4.1.2}{X7CF5EDEB874BF9E3}
\makelabel{fr:ComposeElement elementcoll,perm}{4.1.4}{X80D518E2804ABF70}
\makelabel{fr:VertexElement}{4.1.5}{X7CE388057DAB4802}
\makelabel{fr:DiagonalElement}{4.1.6}{X848EB430831097E6}
\makelabel{fr:AsGroupFRElement}{4.1.7}{X7EB5DE3978840CDF}
\makelabel{fr:AsMonoidFRElement}{4.1.7}{X7EB5DE3978840CDF}
\makelabel{fr:AsSemigroupFRElement}{4.1.7}{X7EB5DE3978840CDF}
\makelabel{fr:Output FR element}{4.2.1}{X78F819CF7DDBF310}
\makelabel{fr:Activity}{4.2.2}{X8732D01C82999F32}
\makelabel{fr:ActivityInt}{4.2.2}{X8732D01C82999F32}
\makelabel{fr:ActivityTransformation}{4.2.2}{X8732D01C82999F32}
\makelabel{fr:ActivityPerm}{4.2.2}{X8732D01C82999F32}
\makelabel{fr:Transition FR element,input}{4.2.3}{X7CE58B2D837B2845}
\makelabel{fr:Transitions FR element}{4.2.4}{X7D4248467B1B097A}
\makelabel{fr:Portrait}{4.2.5}{X84A193C67CDBDA35}
\makelabel{fr:PortraitPerm}{4.2.5}{X84A193C67CDBDA35}
\makelabel{fr:PortraitTransformation}{4.2.5}{X84A193C67CDBDA35}
\makelabel{fr:PortraitInt}{4.2.5}{X84A193C67CDBDA35}
\makelabel{fr:DecompositionOfFRElement}{4.2.6}{X850EB66E7804BA3B}
\makelabel{fr:StateSet FR element}{4.2.7}{X85441F1683E9D820}
\makelabel{fr:State}{4.2.8}{X819E3E3080297347}
\makelabel{fr:States}{4.2.9}{X7B0C97BC7C3BA20D}
\makelabel{fr:FixedStates}{4.2.10}{X804B2E0F7E37F5B8}
\makelabel{fr:LimitStates}{4.2.11}{X8303B36C83371FB3}
\makelabel{fr:IsFiniteStateFRElement}{4.2.12}{X7C4076707CBBE945}
\makelabel{fr:IsFiniteStateFRMachine}{4.2.12}{X7C4076707CBBE945}
\makelabel{fr:NucleusOfFRMachine}{4.2.13}{X829A87E087F15194}
\makelabel{fr:Nucleus FR machine}{4.2.13}{X829A87E087F15194}
\makelabel{fr:InitialState}{4.2.14}{X79E65E818690B4EB}
\makelabel{fr:MealyMachine [list,]listlist,list}{5.1.1}{X7EF3E00080624B70}
\makelabel{fr:MealyElement [list,]listlist,list,int}{5.1.1}{X7EF3E00080624B70}
\makelabel{fr:MealyMachine domain,domain,function,function}{5.1.2}{X875B8FED7FD20FA1}
\makelabel{fr:MealyElement domain,domain,function,function,obj}{5.1.2}{X875B8FED7FD20FA1}
\makelabel{fr:MealyMachineNC family,listlist,list}{5.1.3}{X8578657C7F4B6254}
\makelabel{fr:MealyElementNC family,listlist,list,int}{5.1.3}{X8578657C7F4B6254}
\makelabel{fr:AllMealyMachines}{5.1.4}{X83BBE01884D6E315}
\makelabel{fr:Draw}{5.2.1}{X7DF9F3AD86602DFC}
\makelabel{fr:Minimized Mealy machine}{5.2.2}{X8395542D846FA2B9}
\makelabel{fr:DualMachine}{5.2.3}{X809F069B798ED985}
\makelabel{fr:IsReversible}{5.2.4}{X7D5D480C782FCC0B}
\makelabel{fr:IsMinimized}{5.2.5}{X8310A1C08158793C}
\makelabel{fr:AlphabetInvolution}{5.2.6}{X7CCB79B981912CCC}
\makelabel{fr:IsBireversible}{5.2.7}{X80D2545D7D0990A2}
\makelabel{fr:StateGrowth}{5.2.8}{X83364DAB825D7A0D}
\makelabel{fr:Degree FR element}{5.2.9}{X84BE780A81CAC69C}
\makelabel{fr:DegreeOfFRMachine}{5.2.9}{X84BE780A81CAC69C}
\makelabel{fr:DegreeOfFRElement}{5.2.9}{X84BE780A81CAC69C}
\makelabel{fr:IsFinitaryFRElement}{5.2.10}{X793C427084F830CE}
\makelabel{fr:IsFinitaryFRMachine}{5.2.10}{X793C427084F830CE}
\makelabel{fr:Depth FR element}{5.2.11}{X7E5E8B2C79688DC0}
\makelabel{fr:DepthOfFRMachine}{5.2.11}{X7E5E8B2C79688DC0}
\makelabel{fr:DepthOfFRElement}{5.2.11}{X7E5E8B2C79688DC0}
\makelabel{fr:IsBoundedFRElement}{5.2.12}{X82F4410E85C54C7E}
\makelabel{fr:IsBoundedFRMachine}{5.2.12}{X82F4410E85C54C7E}
\makelabel{fr:IsPolynomialGrowthFRElement}{5.2.13}{X81D4A3F27C5FAD96}
\makelabel{fr:IsPolynomialGrowthFRMachine}{5.2.13}{X81D4A3F27C5FAD96}
\makelabel{fr:Signatures}{5.2.14}{X7ECE17387910C023}
\makelabel{fr:VertexTransformationsFRMachine}{5.2.15}{X83DFDC3384EA4634}
\makelabel{fr:VertexTransformationsFRElement}{5.2.15}{X83DFDC3384EA4634}
\makelabel{fr:FixedRay FR element}{5.2.16}{X7E0CB3767CE08692}
\makelabel{fr:IsLevelTransitiveFRElement}{5.2.17}{X7A519D4C86CC4786}
\makelabel{fr:AsMealyMachine FR machine}{5.2.18}{X79EFE2C97D2CCEEC}
\makelabel{fr:AsMealyMachine List}{5.2.19}{X80F9A18483F98442}
\makelabel{fr:AsMealyElement}{5.2.20}{X7FB3F0A2878DD2CF}
\makelabel{fr:AsIntMealyMachine}{5.2.21}{X7FBBBD9A839011C8}
\makelabel{fr:AsIntMealyElement}{5.2.21}{X7FBBBD9A839011C8}
\makelabel{fr:TopElement}{5.2.22}{X8191456B7E586785}
\makelabel{fr:ConfinalityClasses}{5.2.23}{X7A87ED9D789245E4}
\makelabel{fr:IsWeaklyFinitaryFRElement}{5.2.23}{X7A87ED9D789245E4}
\makelabel{fr:Germs}{5.2.24}{X81592E3D79745A40}
\makelabel{fr:NormOfBoundedFRElement}{5.2.24}{X81592E3D79745A40}
\makelabel{fr:HasOpenSetConditionFRElement}{5.2.25}{X7F76AF2D7C0279F9}
\makelabel{fr:LimitFRMachine}{5.2.26}{X795017598575FCA3}
\makelabel{fr:NucleusMachine FR machine}{5.2.27}{X7F8163B5816969C8}
\makelabel{fr:GuessMealyElement}{5.2.28}{X7B29565784A591EC}
\makelabel{fr:VectorMachine}{6.1.1}{X7F1EB8CB87229764}
\makelabel{fr:VectorElement}{6.1.1}{X7F1EB8CB87229764}
\makelabel{fr:VectorMachineNC}{6.1.1}{X7F1EB8CB87229764}
\makelabel{fr:VectorElementNC}{6.1.1}{X7F1EB8CB87229764}
\makelabel{fr:AssociativeObject}{6.1.2}{X825CA46481197C7A}
\makelabel{fr:AlgebraMachine}{6.1.3}{X7F65118683209DC5}
\makelabel{fr:AlgebraElement}{6.1.3}{X7F65118683209DC5}
\makelabel{fr:AlgebraMachineNC}{6.1.3}{X7F65118683209DC5}
\makelabel{fr:AlgebraElementNC}{6.1.3}{X7F65118683209DC5}
\makelabel{fr:Transition Linear machine}{6.1.4}{X7A19036B828BBA0C}
\makelabel{fr:Transitions}{6.1.5}{X846683198081BA82}
\makelabel{fr:NestedMatrixState}{6.1.6}{X80F694298399E78D}
\makelabel{fr:NestedMatrixCoefficient}{6.1.6}{X80F694298399E78D}
\makelabel{fr:ActivitySparse}{6.1.7}{X7FCEE3BF86B02CC6}
\makelabel{fr:Activities}{6.1.8}{X8436BEA67F1C3C27}
\makelabel{fr:IsConvergent}{6.1.9}{X7EF5B7417AE6B3F8}
\makelabel{fr:TransposedFRElement}{6.1.10}{X8136C21885019A4A}
\makelabel{fr:IsSymmetricFRElement}{6.1.10}{X8136C21885019A4A}
\makelabel{fr:IsAntisymmetricFRElement}{6.1.10}{X8136C21885019A4A}
\makelabel{fr:IsLowerTriangularFRElement}{6.1.10}{X8136C21885019A4A}
\makelabel{fr:IsUpperTriangularFRElement}{6.1.10}{X8136C21885019A4A}
\makelabel{fr:IsDiagonalFRElement}{6.1.10}{X8136C21885019A4A}
\makelabel{fr:LDUDecompositionFRElement}{6.1.11}{X796B736286CACF85}
\makelabel{fr:GuessVectorElement}{6.1.12}{X783E8F427A23EAD1}
\makelabel{fr:AsLinearMachine}{6.1.13}{X865EE2E887ECC079}
\makelabel{fr:AsLinearElement}{6.1.13}{X865EE2E887ECC079}
\makelabel{fr:AsVectorMachine}{6.1.14}{X82586DFB8458EF05}
\makelabel{fr:AsVectorElement}{6.1.14}{X82586DFB8458EF05}
\makelabel{fr:AsAlgebraMachine}{6.1.15}{X7818245A7DABB311}
\makelabel{fr:AsAlgebraElement}{6.1.15}{X7818245A7DABB311}
\makelabel{fr:AsVectorMachine Linear machine}{6.1.16}{X7BDD40B27F7541B2}
\makelabel{fr:AsVectorElement Linear machine}{6.1.16}{X7BDD40B27F7541B2}
\makelabel{fr:AsAlgebraMachine Linear machine}{6.1.17}{X8120605981DDE434}
\makelabel{fr:AsAlgebraElement Linear machine}{6.1.17}{X8120605981DDE434}
\makelabel{fr:FRGroup}{7.1.1}{X7AE8F92383272329}
\makelabel{fr:FRMonoid}{7.1.1}{X7AE8F92383272329}
\makelabel{fr:FRSemigroup}{7.1.1}{X7AE8F92383272329}
\makelabel{fr:NewSemigroupFRMachine}{7.1.2}{X7D4A6996874A3DF3}
\makelabel{fr:NewMonoidFRMachine}{7.1.2}{X7D4A6996874A3DF3}
\makelabel{fr:NewGroupFRMachine}{7.1.2}{X7D4A6996874A3DF3}
\makelabel{fr:SCGroup}{7.1.3}{X853E3F0680C76F56}
\makelabel{fr:SCGroupNC}{7.1.3}{X853E3F0680C76F56}
\makelabel{fr:SCMonoid}{7.1.3}{X853E3F0680C76F56}
\makelabel{fr:SCMonoidNC}{7.1.3}{X853E3F0680C76F56}
\makelabel{fr:SCSemigroup}{7.1.3}{X853E3F0680C76F56}
\makelabel{fr:SCSemigroupNC}{7.1.3}{X853E3F0680C76F56}
\makelabel{fr:Correspondence FR semigroup}{7.1.4}{X7F15D57A7959FEF6}
\makelabel{fr:FullSCGroup}{7.1.5}{X7D0B8334786E2802}
\makelabel{fr:FullSCMonoid}{7.1.5}{X7D0B8334786E2802}
\makelabel{fr:FullSCSemigroup}{7.1.5}{X7D0B8334786E2802}
\makelabel{fr:FRMachineFRGroup}{7.1.6}{X7DB92C34827D513F}
\makelabel{fr:FRMachineFRMonoid}{7.1.6}{X7DB92C34827D513F}
\makelabel{fr:FRMachineFRSemigroup}{7.1.6}{X7DB92C34827D513F}
\makelabel{fr:MealyMachineFRGroup}{7.1.6}{X7DB92C34827D513F}
\makelabel{fr:MealyMachineFRMonoid}{7.1.6}{X7DB92C34827D513F}
\makelabel{fr:MealyMachineFRSemigroup}{7.1.6}{X7DB92C34827D513F}
\makelabel{fr:IsomorphismFRGroup}{7.1.7}{X7BF4AC9F830A8E1A}
\makelabel{fr:IsomorphismFRMonoid}{7.1.7}{X7BF4AC9F830A8E1A}
\makelabel{fr:IsomorphismFRSemigroup}{7.1.7}{X7BF4AC9F830A8E1A}
\makelabel{fr:IsomorphismMealyGroup}{7.1.8}{X7DE1CAE981F2825B}
\makelabel{fr:IsomorphismMealyMonoid}{7.1.8}{X7DE1CAE981F2825B}
\makelabel{fr:IsomorphismMealySemigroup}{7.1.8}{X7DE1CAE981F2825B}
\makelabel{fr:FRGroupByVirtualEndomorphism}{7.1.9}{X7BB8DDEA83946C73}
\makelabel{fr:TreeWreathProduct FR group}{7.1.10}{X79D75A7D80DD9AD1}
\makelabel{fr:WeaklyBranchedEmbedding}{7.1.11}{X85840A047C04BFC6}
\makelabel{fr:PermGroup}{7.2.1}{X7C6D7BA0818A3A3D}
\makelabel{fr:EpimorphismPermGroup}{7.2.1}{X7C6D7BA0818A3A3D}
\makelabel{fr:PcGroup}{7.2.2}{X8620BEAF7957FA4D}
\makelabel{fr:EpimorphismPcGroup}{7.2.2}{X8620BEAF7957FA4D}
\makelabel{fr:TransformationMonoid}{7.2.3}{X83834FF77F972912}
\makelabel{fr:EpimorphismTransformationMonoid}{7.2.3}{X83834FF77F972912}
\makelabel{fr:TransformationSemigroup}{7.2.4}{X8768C22D859BE75F}
\makelabel{fr:EpimorphismTransformationSemigroup}{7.2.4}{X8768C22D859BE75F}
\makelabel{fr:EpimorphismGermGroup}{7.2.5}{X7BDC634086437315}
\makelabel{fr:EpimorphismGermGroup EGG0}{7.2.5}{X7BDC634086437315}
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\makelabel{fr:SolutionMatMod1}{11.8.16}{X80E9634283E2DF18}
\makelabel{fr:CyclotomicByArgument}{11.8.17}{X7D2CEF7F845D2AF2}
\makelabel{fr:ArgumentOfCyclotomic}{11.8.18}{X7A6CB5FE86501506}
\makelabel{fr:InfoFR}{11.9.1}{X7E95AC267805E4C1}
\makelabel{fr:SEARCH@}{11.9.2}{X835FBD72853595BE}

[ Dauer der Verarbeitung: 0.3 Sekunden  (vorverarbeitet)  ]