<description/> <author>FAYAT BOMAG</author> <company/> <keywords/> <revisedBy>FAYAT BOMAG</revisedBy> </userData> <identityInfo> <revision>4</revision> <documentID>978D6025-9C3D-4280-AA4F-9A439D83B68E</documentID> <versionID>C9FE07EE-65E0-411C-9B9F-CCB10833E09F</versionID> <parentVersionID>00000000-0000-0000-0000-000000000000</parentVersionID> <branchID>00000000-0000-0000-0000-000000000000</branchID> </identityInfo> </metadata> <settings> <presentation> <textRendering> <textStyles> <textStyle name="Normal"> <blockAttr margin-left="0" margin-right="0" text-indent="0" text-align="left" list-style-type="none" tabs="inherit"/> <inlineAttr font-family="Arial" font-charset="0" font-size="10" font-weight="normal" font-style="normal" underline="false" line-through="false" vertical-align="baseline"/> </textStyle> </textStyles> </textRendering> <mathRendering equation-color="#000"> <operators multiplication="dot" derivative="derivative" literal-subscript="small" definition="colon-equal" 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show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve" subscript="1">R</ml:id> <ml:real>0</ml:real> </ml:apply> <ml:matrix rows="2" cols="1"> <ml:real>1</ml:real> <ml:real>1</ml:real> </ml:matrix> </ml:define> </math> <rendering item-idref="1"/> </region> <region region-id="69" left="96" top="162.75" width="48.75" height="29.25" align-x="118.5" align-y="180" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve" subscript="01">P</ml:id> <ml:real>0</ml:real> </ml:apply> <ml:matrix rows="2" cols="1"> <ml:real>0</ml:real> <ml:real>0</ml:real> </ml:matrix> </ml:define> </math> <rendering item-idref="2"/> </region> <region region-id="79" left="288" top="162.75" width="53.25" height="29.25" align-x="310.5" align-y="180" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve" subscript="02">P</ml:id> <ml:real>0</ml:real> </ml:apply> <ml:matrix rows="2" cols="1"> <ml:real>0</ml:real> <ml:real>10</ml:real> </ml:matrix> </ml:define> </math> <rendering item-idref="3"/> </region> <region region-id="82" left="378" top="162.75" width="45.75" height="29.25" align-x="397.5" align-y="180" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve" subscript="2">R</ml:id> <ml:real>0</ml:real> </ml:apply> <ml:matrix rows="2" cols="1"> <ml:real>2</ml:real> <ml:real>0</ml:real> </ml:matrix> </ml:define> </math> <rendering item-idref="4"/> </region> <region region-id="124" left="642" top="170.25" width="278.25" height="408" align-x="642" align-y="180" show-border="true" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> ' </text> </region> <region region-id="66" left="96" top="192.75" width="48.75" height="29.25" align-x="118.5" align-y="210" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve" subscript="01">P</ml:id> <ml:real>1</ml:real> </ml:apply> <ml:matrix rows="2" cols="1"> <ml:real>0</ml:real> <ml:real>0</ml:real> </ml:matrix> </ml:define> </math> <rendering item-idref="5"/> </region> <region region-id="67" left="180" top="192.75" width="45.75" height="29.25" align-x="199.5" align-y="210" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve" subscript="1">R</ml:id> <ml:real>1</ml:real> </ml:apply> <ml:matrix rows="2" cols="1"> <ml:real>0</ml:real> <ml:real>1</ml:real> </ml:matrix> </ml:define> </math> <rendering item-idref="6"/> </region> <region region-id="73" left="288" top="198.75" width="53.25" height="29.25" align-x="310.5" align-y="216" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve" subscript="02">P</ml:id> <ml:real>1</ml:real> </ml:apply> <ml:matrix rows="2" cols="1"> <ml:real>10</ml:real> <ml:real>10</ml:real> </ml:matrix> </ml:define> </math> <rendering item-idref="7"/> </region> <region region-id="83" left="378" top="204.75" width="51" height="29.25" align-x="397.5" align-y="222" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve" subscript="2">R</ml:id> <ml:real>1</ml:real> </ml:apply> <ml:matrix rows="2" cols="1"> <ml:real>-1</ml:real> <ml:real>5</ml:real> </ml:matrix> </ml:define> </math> <rendering item-idref="8"/> </region> <region region-id="115" left="726" top="224.25" width="54" height="12" align-x="750" align-y="234" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> Funktioniert: </text> </region> <region region-id="39" left="84" top="249" width="284.25" height="132.75" align-x="255.75" align-y="258" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math error="Diese Variable ist nicht definiert." optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:function> <ml:id xml:space="preserve">f_schnittpunkt_vektoren</ml:id> <ml:boundVars> <ml:id xml:space="preserve" subscript="01">P</ml:id> <ml:id xml:space="preserve" subscript="1">R</ml:id> <ml:id xml:space="preserve" subscript="02">P</ml:id> <ml:id xml:space="preserve" subscript="2">R</ml:id> </ml:boundVars> </ml:function> <ml:program> <ml:provenance expr-id="1"> <originRef doc-id="ABAE78C6-CF98-4ABF-BD29-430979A37DDA" version-id="6226944D-C609-4441-977D-47663AA1F308" branch-id="00000000-0000-0000-0000-000000000000" revision-num="541188" is-modified="true" region-id="0" href="C:\Program Files\Mathcad\Mathcad 15\Resource Center\de\qsheet\solving\s020ufrt.xmcd" xmlns="http://schemas.mathsoft.com/provenance10"> <hash/> </originRef> <parentRef doc-id="1A225964-3AE0-4D5A-851C-F28AFBCF55FF" version-id="148A90AE-3E18-4B50-A336-020037645249" branch-id="00000000-0000-0000-0000-000000000000" revision-num="195561276" is-modified="false" region-id="0" href="C:\Documents and Settings\berenz\Desktop\f_hundegang.xmcd" xmlns="http://schemas.mathsoft.com/provenance10"> <hash/> </parentRef> <comment xmlns="http://schemas.mathsoft.com/provenance10"/> <originComment xmlns="http://schemas.mathsoft.com/provenance10">Lösen von Gleichungen in Abhängigkeit eines unbekannten Parameters.</originComment> <contentHash xmlns="http://schemas.mathsoft.com/provenance10">d6bc5283b2d6d86072e53b538b5ea6ed</contentHash> <ml:id xml:space="preserve">Given</ml:id> </ml:provenance> <ml:localDefine> <ml:id xml:space="preserve">λ</ml:id> <ml:real>1</ml:real> </ml:localDefine> <ml:localDefine> <ml:id xml:space="preserve">μ</ml:id> <ml:real>1</ml:real> </ml:localDefine> <ml:localDefine> <ml:function> <ml:id xml:space="preserve">f1</ml:id> <ml:boundVars> <ml:id xml:space="preserve">λ</ml:id> </ml:boundVars> </ml:function> <ml:apply> <ml:plus/> <ml:id xml:space="preserve" subscript="01">P</ml:id> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">λ</ml:id> <ml:id xml:space="preserve" subscript="1">R</ml:id> </ml:apply> </ml:apply> </ml:localDefine> <ml:localDefine> <ml:function> <ml:id xml:space="preserve">f2</ml:id> <ml:boundVars> <ml:id xml:space="preserve">μ</ml:id> </ml:boundVars> </ml:function> <ml:apply> <ml:plus/> <ml:id xml:space="preserve" subscript="02">P</ml:id> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">μ</ml:id> <ml:id xml:space="preserve" subscript="2">R</ml:id> </ml:apply> </ml:apply> </ml:localDefine> <ml:apply> <ml:equal/> <ml:apply> <ml:id xml:space="preserve">f1</ml:id> <ml:id xml:space="preserve">λ</ml:id> </ml:apply> <ml:apply> <ml:id xml:space="preserve">f2</ml:id> <ml:id xml:space="preserve">μ</ml:id> </ml:apply> </ml:apply> <ml:localDefine> <ml:matrix rows="2" cols="1"> <ml:id xml:space="preserve">λ</ml:id> <ml:id xml:space="preserve">μ</ml:id> </ml:matrix> <ml:apply> <ml:Find auto-method="true" method="levenberg" derivative-estimation="central" variable-estimation="tangent" linear-check="false" multistart="false" evolutionary="false"/> <ml:sequence> <ml:id xml:space="preserve">λ</ml:id> <ml:id xml:space="preserve">μ</ml:id> </ml:sequence> </ml:apply> </ml:localDefine> </ml:program> </ml:define> </math> <rendering item-idref="9"> <element-image-map> <box left="187.5" top="0.75" width="33" height="11.25" expr-idref="1" xmlns="http://schemas.mathsoft.com/worksheet30"/> </element-image-map> </rendering> </region> <region region-id="103" left="726" top="255" width="28.5" height="18" align-x="742.5" align-y="264" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">λ</ml:id> <ml:real>0</ml:real> </ml:apply> <ml:real>1</ml:real> </ml:define> </math> <rendering item-idref="10"/> </region> <region region-id="104" left="726" top="279" width="28.5" height="18" align-x="742.5" align-y="288" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">μ</ml:id> <ml:real>0</ml:real> </ml:apply> <ml:real>1</ml:real> </ml:define> </math> <rendering item-idref="11"/> </region> <region region-id="105" left="726" top="309" width="34.5" height="12.75" align-x="742.5" align-y="318" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:provenance expr-id="1" xmlns:ml="http://schemas.mathsoft.com/math30"> <originRef doc-id="ABAE78C6-CF98-4ABF-BD29-430979A37DDA" version-id="6226944D-C609-4441-977D-47663AA1F308" branch-id="00000000-0000-0000-0000-000000000000" revision-num="1231356" is-modified="true" region-id="0" href="C:\Program Files\Mathcad\Mathcad 15\Resource Center\de\qsheet\solving\s020ufrt.xmcd" xmlns="http://schemas.mathsoft.com/provenance10"> <hash/> </originRef> <parentRef doc-id="1A225964-3AE0-4D5A-851C-F28AFBCF55FF" version-id="148A90AE-3E18-4B50-A336-020037645249" branch-id="00000000-0000-0000-0000-000000000000" revision-num="196585532" is-modified="false" region-id="0" href="C:\Documents and Settings\berenz\Desktop\f_hundegang.xmcd" xmlns="http://schemas.mathsoft.com/provenance10"> <hash/> </parentRef> <comment xmlns="http://schemas.mathsoft.com/provenance10"/> <originComment 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