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</calculationBehavior> <units> <currentUnitSystem name="si" customized="false"/> </units> </calculation> <editor view-annotations="false" view-regions="false"> <ruler is-visible="false" ruler-unit="in"/> <grid granularity-x="6" granularity-y="6"/> </editor> <fileFormat image-type="image/png" image-quality="75" save-numeric-results="true" exclude-large-results="true" save-text-images="false" screen-dpi="96"/> <miscellaneous> <handbook handbook-region-tag-ub="688" can-delete-original-handbook-regions="true" can-delete-user-regions="true" can-print="true" can-copy="true" can-save="true" file-permission-mask="4294967295"/> </miscellaneous> </settings> <regions> <region region-id="649" left="12" top="8.25" width="30.75" height="12" align-x="30" align-y="18" 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="false"> Code 1 </text> </region> <region region-id="645" left="30" top="33" width="119.25" height="18.75" align-x="102.75" align-y="48" 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:function> <ml:id xml:space="preserve">LineSlope</ml:id> <ml:boundVars> <ml:id xml:space="preserve">i</ml:id> <ml:id xml:space="preserve">Sw</ml:id> </ml:boundVars> </ml:function> <ml:apply> <ml:pow/> <ml:parens> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">Sw</ml:id> <ml:id xml:space="preserve">i</ml:id> </ml:apply> </ml:parens> <ml:real>2</ml:real> </ml:apply> </ml:define> </math> <rendering item-idref="1"/> </region> <region region-id="682" left="258" top="38.25" width="149.25" height="24" align-x="261" align-y="48" 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"> A simpler definition of LineSlope to illustrate my question. </text> </region> <region region-id="644" left="30" top="69" width="42" height="12.75" align-x="59.25" align-y="78" 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:id xml:space="preserve">SSSw</ml:id> <ml:real>2</ml:real> </ml:define> </math> <rendering item-idref="2"/> </region> <region region-id="681" left="258" top="86.25" width="303.75" height="132" align-x="267" align-y="96" 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"> How can this call to Minimize work when SSSw is not even an argument in LineSlope?<sp count="2"/> Q1: In the Minimize call, is SSSw = 2 substituted as a starting value for Sw?<sp count="2"/>Then how did Mathcad know to use this as a starting value for the *second* argument in LineSlope and not the first?<sp count="2"/> Q2: And why doesn't Minimize need to use both arguments of LineSlope?<sp count="2"/>If it doesn't need to use both arguments, then why the error in Code 2 (which occurs whether or not "Given" is present)?<sp count="2"/> </text> </region> <region region-id="643" left="30" top="105" width="156.75" height="12.75" align-x="68.25" align-y="114" 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:function> <ml:id xml:space="preserve">SSwf</ml:id> <ml:boundVars> <ml:id xml:space="preserve">i</ml:id> </ml:boundVars> </ml:function> <ml:apply> <ml:Minimize auto-method="true" method="conjugate" derivative-estimation="central" variable-estimation="tangent" linear-check="false" multistart="false" evolutionary="false"/> <ml:sequence> <ml:id xml:space="preserve">LineSlope</ml:id> <ml:id xml:space="preserve">SSSw</ml:id> </ml:sequence> </ml:apply> </ml:define> </math> <rendering item-idref="3"/> </region> <region region-id="642" left="30" top="135" width="57" height="12.75" align-x="69" align-y="144" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:apply> <ml:id xml:space="preserve">SSwf</ml:id> <ml:real>5</ml:real> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math30"> <ml:real>5</ml:real> </result> </ml:eval> </math> <rendering item-idref="4"/> </region> <region region-id="647" left="108" top="135" width="57" height="12.75" align-x="147" align-y="144" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:apply> <ml:id xml:space="preserve">SSwf</ml:id> <ml:real>2</ml:real> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math30"> <ml:real>2</ml:real> </result> </ml:eval> </math> <rendering item-idref="5"/> </region> <region region-id="684" left="12" top="164.25" width="30.75" height="12" align-x="30" align-y="174" 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="false"> Code 2 </text> </region> <region region-id="685" left="30" top="189" width="24" height="12.75" align-x="41.25" align-y="198" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:id xml:space="preserve" xmlns:ml="http://schemas.mathsoft.com/math30">Given</ml:id> </math> <rendering item-idref="6"/> </region> <region region-id="686" left="42" top="213" width="21.75" height="12.75" align-x="51" 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:id xml:space="preserve">i</ml:id> <ml:real>5</ml:real> </ml:define> </math> <rendering item-idref="7"/> </region> <region region-id="679" left="30" top="237" width="129.75" height="12.75" align-x="145.5" align-y="246" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math error="This variable is undefined." optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:apply> <ml:Minimize auto-method="true" method="conjugate" derivative-estimation="central" variable-estimation="tangent" 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lock-width="true"> A simpler definition of LineSlope to illustrate my question. </text> </region> <region region-id="644" left="30" top="69" width="42" height="12.75" align-x="59.25" align-y="78" 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:id xml:space="preserve">SSSw</ml:id> <ml:real>2</ml:real> </ml:define> </math> <rendering item-idref="2"/> </region> <region region-id="681" left="258" top="86.25" width="303.75" height="132" align-x="267" align-y="96" 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"> How can this call to Minimize work when SSSw is not even an argument in LineSlope?<sp count="2"/> Q1: In the Minimize call, is SSSw = 2 substituted as a starting value for Sw?<sp count="2"/>Then how did Mathcad know to use this as a starting value for the *second* argument in LineSlope and not the first?<sp count="2"/> Q2: And why doesn't Minimize need to use both arguments of LineSlope?<sp count="2"/>If it doesn't need to use both arguments, then why the error in Code 2 (which occurs whether or not "Given" is present)?<sp count="2"/> </text> </region> <region region-id="643" left="30" top="105" width="156.75" height="12.75" align-x="68.25" align-y="114" 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:function> <ml:id xml:space="preserve">SSwf</ml:id> <ml:boundVars> <ml:id xml:space="preserve">i</ml:id> </ml:boundVars> </ml:function> <ml:apply> <ml:Minimize auto-method="true" method="conjugate" derivative-estimation="central" variable-estimation="tangent" linear-check="false" multistart="false" 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