Mathcad Professional 14.0 <description/> <author>Javier Mazzone</author> <company>Parametric Technology Corporation</company> <keywords/> <revisedBy>Javier Mazzone</revisedBy> </userData> <identityInfo> <revision>9</revision> <documentID>1226AA55-2655-4652-95DB-C702C88260D2</documentID> <versionID>F3B3DF25-021A-4EF0-A46A-ED2E5F921922</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="inherit" text-align="left" list-style-type="inherit" 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> <textStyle name="Heading 1"> <blockAttr margin-left="0" margin-right="0" text-indent="inherit" text-align="left" list-style-type="inherit" tabs="inherit"/> <inlineAttr font-family="Arial" font-charset="0" font-size="14" font-weight="bold" font-style="normal" underline="false" line-through="false" vertical-align="baseline"/> </textStyle> <textStyle name="Heading 2"> <blockAttr margin-left="0" margin-right="0" text-indent="inherit" text-align="left" list-style-type="inherit" tabs="inherit"/> <inlineAttr font-family="Arial" font-charset="0" font-size="12" font-weight="bold" font-style="italic" underline="false" line-through="false" vertical-align="baseline"/> </textStyle> <textStyle name="Heading 3"> <blockAttr margin-left="0" margin-right="0" text-indent="inherit" text-align="left" list-style-type="inherit" tabs="inherit"/> <inlineAttr font-family="Arial" font-charset="0" font-size="12" font-weight="normal" font-style="normal" underline="false" line-through="false" vertical-align="baseline"/> </textStyle> <textStyle name="Paragraph"> <blockAttr margin-left="0" margin-right="0" text-indent="21" text-align="left" list-style-type="inherit" 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> <textStyle name="List"> <blockAttr margin-left="14.25" margin-right="0" text-indent="-14.25" text-align="left" list-style-type="inherit" 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> <textStyle name="Indent"> <blockAttr margin-left="108" margin-right="0" text-indent="inherit" text-align="left" list-style-type="inherit" 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> <textStyle name="Title"> <blockAttr margin-left="0" margin-right="0" text-indent="inherit" text-align="center" list-style-type="inherit" tabs="inherit"/> <inlineAttr font-family="Times New Roman" font-charset="0" font-size="24" font-weight="bold" font-style="normal" underline="false" line-through="false" vertical-align="baseline"/> </textStyle> <textStyle name="Subtitle" base-style="Title"> <blockAttr margin-left="0" margin-right="0" text-indent="inherit" text-align="center" list-style-type="inherit" tabs="inherit"/> <inlineAttr font-family="Times New Roman" font-charset="0" font-size="18" font-weight="normal" font-style="normal" underline="false" line-through="false" vertical-align="baseline"/> </textStyle> </textStyles> </textRendering> <mathRendering equation-color="#000"> <operators multiplication="narrow-dot" derivative="derivative" literal-subscript="large" definition="colon-equal" global-definition="triple-equal" local-definition="left-arrow" equality="bold-equal" symbolic-evaluation="right-arrow"/> <mathStyles> <mathStyle name="Variables" font-family="Times New Roman" font-charset="0" font-size="10" font-weight="normal" font-style="normal" underline="false"/> <mathStyle name="Constants" font-family="Times New Roman" font-charset="0" font-size="10" font-weight="normal" font-style="normal" underline="false"/> <mathStyle name="User 1" font-family="Arial" font-charset="0" font-size="10" font-weight="normal" font-style="normal" underline="false"/> <mathStyle name="User 2" font-family="Courier New" font-charset="0" font-size="10" font-weight="normal" font-style="normal" underline="false"/> <mathStyle name="User 3" font-family="Arial" font-charset="0" font-size="10" font-weight="bold" font-style="normal" underline="false"/> <mathStyle name="User 4" font-family="Times New Roman" font-charset="0" font-size="10" font-weight="normal" font-style="italic" underline="false"/> <mathStyle name="User 5" font-family="Times New Roman" font-charset="0" font-size="10" font-weight="normal" font-style="normal" underline="false"/> <mathStyle name="User 6" font-family="Arial" font-charset="0" font-size="10" font-weight="normal" font-style="normal" underline="false"/> <mathStyle name="User 7" font-family="Times New Roman" font-charset="0" font-size="10" font-weight="normal" font-style="normal" underline="false"/> <mathStyle name="Math Text Font" font-family="Times New Roman" font-charset="0" font-size="14" font-weight="normal" font-style="normal" underline="false"/> </mathStyles> <dimensionNames mass="mass" length="length" time="time" current="current" thermodynamic-temperature="temperature" luminous-intensity="luminosity" amount-of-substance="substance" display="false"/> <symbolics derivation-steps-style="vertical-insert" show-comments="false" evaluate-in-place="false"/> <results numeric-only="true"> <general precision="3" show-trailing-zeros="false" radix="dec" complex-threshold="10" zero-threshold="15" imaginary-value="i" exponential-threshold="3"/> <matrix display-style="auto" expand-nested-arrays="false"/> <unit format-units="true" simplify-units="true" fractional-unit-exponent="false"/> </results> </mathRendering> <pageModel show-page-frame="false" show-header-frame="false" show-footer-frame="false" header-footer-start-page="1" paper-code="1" orientation="portrait" print-single-page-width="false" page-width="612" page-height="792"> <margins left="86.4" right="86.4" top="86.4" bottom="86.4"/> <header use-full-page-width="false"/> <footer use-full-page-width="false"/> </pageModel> <colorModel background-color="#fff" default-highlight-color="#ffff80"/> <language math="en" UI="en"/> </presentation> <calculation> <builtInVariables array-origin="0" convergence-tolerance="0.001" constraint-tolerance="0.001" random-seed="1" prn-precision="4" prn-col-width="8"/> <calculationBehavior automatic-recalculation="true" matrix-strict-singularity-check="false" optimize-expressions="false" exact-boolean="true" strings-use-origin="false" zero-over-zero="error"> <compatibility multiple-assignment="MC12" local-assignment="MC11"/> </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="702" 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="699" left="6" top="9" width="39" height="12.75" align-x="32.25" align-y="18" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define warning="WarnRedefinedBIFunction" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:function> <ml:id xml:space="preserve">Φ</ml:id> <ml:boundVars> <ml:id xml:space="preserve">n</ml:id> </ml:boundVars> </ml:function> <ml:id xml:space="preserve">n</ml:id> </ml:define> </math> <rendering item-idref="1"/> </region> <region region-id="700" left="6" top="39" width="42" height="12.75" align-x="33.75" 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:symEval style="default" hide-keywords="false" hide-lhs="false" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:apply> <ml:id xml:space="preserve">Φ</ml:id> <ml:id xml:space="preserve">n</ml:id> </ml:apply> <ml:symResult> <ml:id xml:space="preserve">n</ml:id> </ml:symResult> </ml:symEval> </math> <rendering item-idref="2"/> </region> <region region-id="701" left="180" top="39" width="108.75" height="12.75" align-x="258.75" 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:symEval style="default" hide-keywords="false" hide-lhs="false" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:apply> <ml:id xml:space="preserve">Φ</ml:id> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">n</ml:id> <ml:real>1</ml:real> </ml:apply> </ml:apply> <ml:command> <ml:id xml:space="preserve">expand</ml:id> </ml:command> <ml:symResult> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">n</ml:id> <ml:real>1</ml:real> </ml:apply> </ml:symResult> </ml:symEval> </math> <rendering item-idref="3"/> </region> <region region-id="702" left="6" top="63" width="134.25" height="12.75" align-x="126.75" align-y="72" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:symEval style="default" hide-keywords="false" hide-lhs="false" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:parens> <ml:apply> <ml:minus/> <ml:apply> <ml:id xml:space="preserve">Φ</ml:id> <ml:id xml:space="preserve">n</ml:id> </ml:apply> <ml:apply> <ml:id xml:space="preserve">Φ</ml:id> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">n</ml:id> <ml:real>1</ml:real> </ml:apply> </ml:apply> </ml:apply> </ml:parens> <ml:command> <ml:id xml:space="preserve">simplify</ml:id> </ml:command> <ml:symResult> <ml:real>1</ml:real> </ml:symResult> </ml:symEval> </math> <rendering item-idref="4"/> </region> <region region-id="679" left="6" top="92.25" width="63.75" height="33.75" align-x="32.25" align-y="114" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define warning="WarnRedefinedUDFunction" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:function> <ml:id xml:space="preserve">Φ</ml:id> <ml:boundVars> <ml:id xml:space="preserve">n</ml:id> </ml:boundVars> </ml:function> <ml:apply> <ml:div/> <ml:apply> <ml:plus/> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">n</ml:id> <ml:real>2</ml:real> </ml:apply> <ml:id xml:space="preserve">n</ml:id> </ml:apply> <ml:real>2</ml:real> </ml:apply> </ml:define> </math> <rendering item-idref="5"/> </region> <region region-id="680" left="6" top="128.25" width="69.75" height="33.75" align-x="33.75" align-y="150" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:symEval style="default" hide-keywords="false" hide-lhs="false" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:apply> <ml:id xml:space="preserve">Φ</ml:id> <ml:id xml:space="preserve">n</ml:id> </ml:apply> <ml:symResult> <ml:apply> <ml:plus/> <ml:apply> <ml:div/> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">n</ml:id> <ml:real>2</ml:real> </ml:apply> <ml:real>2</ml:real> </ml:apply> <ml:apply> <ml:div/> <ml:id xml:space="preserve">n</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:symResult> </ml:symEval> </math> <rendering item-idref="6"/> </region> <region region-id="681" left="180" top="128.25" width="120" height="33.75" align-x="258.75" align-y="150" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:symEval style="default" hide-keywords="false" hide-lhs="false" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:apply> <ml:id xml:space="preserve">Φ</ml:id> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">n</ml:id> <ml:real>1</ml:real> </ml:apply> </ml:apply> <ml:command> <ml:id xml:space="preserve">expand</ml:id> </ml:command> <ml:symResult> <ml:apply> <ml:minus/> <ml:apply> <ml:div/> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">n</ml:id> <ml:real>2</ml:real> </ml:apply> <ml:real>2</ml:real> </ml:apply> <ml:apply> <ml:div/> <ml:id xml:space="preserve">n</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:symResult> </ml:symEval> </math> <rendering item-idref="7"/> </region> <region region-id="682" left="6" top="177" width="135" height="12.75" align-x="126.75" align-y="186" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:symEval style="default" hide-keywords="false" hide-lhs="false" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:parens> <ml:apply> <ml:minus/> <ml:apply> <ml:id xml:space="preserve">Φ</ml:id> <ml:id xml:space="preserve">n</ml:id> </ml:apply> <ml:apply> <ml:id xml:space="preserve">Φ</ml:id> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">n</ml:id> <ml:real>1</ml:real> </ml:apply> </ml:apply> </ml:apply> </ml:parens> <ml:command> <ml:id xml:space="preserve">simplify</ml:id> </ml:command> <ml:symResult> <ml:id xml:space="preserve">n</ml:id> </ml:symResult> </ml:symEval> </math> <rendering item-idref="8"/> </region> <region region-id="683" left="6" top="206.25" width="121.5" height="33.75" align-x="32.25" align-y="228" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define warning="WarnRedefinedUDFunction" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:function> <ml:id xml:space="preserve">Φ</ml:id> <ml:boundVars> <ml:id xml:space="preserve">n</ml:id> </ml:boundVars> </ml:function> <ml:apply> <ml:plus/> <ml:apply> <ml:div/> <ml:apply> <ml:plus/> <ml:apply> <ml:minus/> <ml:apply> <ml:mult/> <ml:real>2</ml:real> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">n</ml:id> <ml:real>3</ml:real> </ml:apply> </ml:apply> <ml:apply> <ml:mult/> <ml:real>3</ml:real> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">n</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:apply> <ml:id xml:space="preserve">n</ml:id> </ml:apply> <ml:real>6</ml:real> </ml:apply> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">n</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="9"/> </region> <region region-id="684" left="6" top="242.25" width="94.5" height="33.75" align-x="33.75" 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:symEval style="default" hide-keywords="false" hide-lhs="false" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:apply> <ml:id xml:space="preserve">Φ</ml:id> <ml:id xml:space="preserve">n</ml:id> </ml:apply> <ml:symResult> <ml:apply> <ml:plus/> <ml:apply> <ml:plus/> <ml:apply> <ml:div/> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">n</ml:id> <ml:real>3</ml:real> </ml:apply> <ml:real>3</ml:real> </ml:apply> <ml:apply> <ml:div/> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">n</ml:id> <ml:real>2</ml:real> </ml:apply> <ml:real>2</ml:real> </ml:apply> </ml:apply> <ml:apply> <ml:div/> <ml:id xml:space="preserve">n</ml:id> <ml:real>6</ml:real> </ml:apply> </ml:apply> </ml:symResult> </ml:symEval> </math> <rendering item-idref="10"/> </region> <region region-id="685" left="180" top="242.25" width="144.75" height="33.75" align-x="258.75" 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:symEval style="default" hide-keywords="false" hide-lhs="false" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:apply> <ml:id xml:space="preserve">Φ</ml:id> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">n</ml:id> <ml:real>1</ml:real> </ml:apply> </ml:apply> <ml:command> <ml:id xml:space="preserve">expand</ml:id> </ml:command> <ml:symResult> <ml:apply> <ml:plus/> <ml:apply> <ml:minus/> <ml:apply> <ml:div/> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">n</ml:id> <ml:real>3</ml:real> </ml:apply> <ml:real>3</ml:real> </ml:apply> <ml:apply> <ml:div/> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">n</ml:id> <ml:real>2</ml:real> </ml:apply> <ml:real>2</ml:real> </ml:apply> </ml:apply> <ml:apply> <ml:div/> <ml:id xml:space="preserve">n</ml:id> <ml:real>6</ml:real> </ml:apply> </ml:apply> </ml:symResult> </ml:symEval> </math> <rendering item-idref="11"/> </region> <region region-id="686" left="6" top="285" width="139.5" height="18.75" align-x="126.75" align-y="300" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:symEval style="default" hide-keywords="false" hide-lhs="false" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:parens> <ml:apply> <ml:minus/> <ml:apply> <ml:id xml:space="preserve">Φ</ml:id> <ml:id xml:space="preserve">n</ml:id> </ml:apply> <ml:apply> <ml:id xml:space="preserve">Φ</ml:id> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">n</ml:id> <ml:real>1</ml:real> </ml:apply> </ml:apply> </ml:apply> </ml:parens> <ml:command> <ml:id xml:space="preserve">simplify</ml:id> </ml:command> <ml:symResult> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">n</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:symResult> </ml:symEval> </math> <rendering item-idref="12"/> </region> <region region-id="687" left="6" top="320.25" width="137.25" height="33.75" align-x="32.25" align-y="342" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define warning="WarnRedefinedUDFunction" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:function> <ml:id xml:space="preserve">Φ</ml:id> <ml:boundVars> <ml:id xml:space="preserve">n</ml:id> </ml:boundVars> </ml:function> <ml:apply> <ml:plus/> <ml:apply> <ml:div/> <ml:apply> <ml:plus/> <ml:apply> <ml:plus/> <ml:apply> <ml:plus/> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">n</ml:id> <ml:real>4</ml:real> </ml:apply> <ml:apply> <ml:mult style="auto-select"/> <ml:real>2</ml:real> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">n</ml:id> <ml:real>3</ml:real> </ml:apply> </ml:apply> </ml:apply> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">n</ml:id> <ml:real font="0">2</ml:real> </ml:apply> </ml:apply> <ml:id xml:space="preserve">n</ml:id> </ml:apply> <ml:real>4</ml:real> </ml:apply> <ml:apply> <ml:div/> <ml:apply> <ml:neg/> <ml:id xml:space="preserve">n</ml:id> </ml:apply> <ml:real>4</ml:real> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="13"/> </region> <region region-id="688" left="6" top="362.25" width="99" height="33.75" align-x="33.75" align-y="384" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:symEval style="default" hide-keywords="false" hide-lhs="false" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:apply> <ml:id xml:space="preserve">Φ</ml:id> <ml:id xml:space="preserve">n</ml:id> </ml:apply> <ml:symResult> <ml:apply> <ml:plus/> <ml:apply> <ml:plus/> <ml:apply> <ml:div/> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">n</ml:id> <ml:real>4</ml:real> </ml:apply> <ml:real>4</ml:real> </ml:apply> <ml:apply> <ml:div/> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">n</ml:id> <ml:real>3</ml:real> </ml:apply> <ml:real>2</ml:real> </ml:apply> </ml:apply> <ml:apply> <ml:div/> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">n</ml:id> <ml:real>2</ml:real> </ml:apply> <ml:real>4</ml:real> </ml:apply> </ml:apply> </ml:symResult> </ml:symEval> </math> <rendering item-idref="14"/> </region> <region region-id="689" left="180" top="362.25" width="149.25" height="33.75" align-x="258.75" align-y="384" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:symEval style="default" hide-keywords="false" hide-lhs="false" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:apply> <ml:id xml:space="preserve">Φ</ml:id> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">n</ml:id> <ml:real>1</ml:real> </ml:apply> </ml:apply> <ml:command> <ml:id xml:space="preserve">expand</ml:id> </ml:command> <ml:symResult> <ml:apply> <ml:plus/> <ml:apply> <ml:minus/> <ml:apply> <ml:div/> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">n</ml:id> <ml:real>4</ml:real> </ml:apply> <ml:real>4</ml:real> </ml:apply> <ml:apply> <ml:div/> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">n</ml:id> <ml:real>3</ml:real> </ml:apply> <ml:real>2</ml:real> </ml:apply> </ml:apply> <ml:apply> <ml:div/> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">n</ml:id> <ml:real>2</ml:real> </ml:apply> <ml:real>4</ml:real> </ml:apply> </ml:apply> </ml:symResult> </ml:symEval> </math> <rendering item-idref="15"/> </region> <region region-id="690" left="6" top="405" width="139.5" height="18.75" align-x="126.75" align-y="420" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:symEval style="default" hide-keywords="false" hide-lhs="false" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:parens> <ml:apply> <ml:minus/> <ml:apply> <ml:id xml:space="preserve">Φ</ml:id> <ml:id xml:space="preserve">n</ml:id> </ml:apply> <ml:apply> <ml:id xml:space="preserve">Φ</ml:id> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">n</ml:id> <ml:real>1</ml:real> </ml:apply> </ml:apply> </ml:apply> </ml:parens> <ml:command> <ml:id xml:space="preserve">simplify</ml:id> </ml:command> <ml:symResult> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">n</ml:id> <ml:real>3</ml:real> </ml:apply> </ml:symResult> </ml:symEval> </math> <rendering item-idref="16"/> </region> </regions> <binaryContent> <item item-id="1">iVBORw0KGgoAAAANSUhEUgAAADQAAAARCAYAAACSGY9uAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAgY0hSTQAAeiYAAICEAAD6AAAAgOgAAHUwAADqYAAAOpgAABdwnLpRPAAA ARtJREFUSEvdVsENwyAMTEfot09WyLfPrNAVukK+mSezZCcqoxoZZLBN4EOkiDoYfOczpg/v D7/M9AChmd5lJjKh2qYntG3OO/eEc+Xh976/iyUJPrWESPMjkskqdJ6fQKgHWGmf3qQSQqDI ur4ShcAGgjSwFaTV/w7JSAjIYGCq0HV9w3cY/y2eVQ7XwsgRqJFqJczFjITwzADovOToXAls TiT304DGPfKRU4z64Hz4hkYvhejmd8pUU3Zc0sxnqJRpSZHeCnHlnyhEM1LrciMJaVSpqc4S ku4hzRkq1XcJsEa9fG0eI9rWrNQ6XU/ALbiSvz7LkV6koi1cvKXm0ApUuy40BQBPCWhtqVSk eS1Ii18khMRaRkvA0b4/WmMjKE+wD0wAAAAASUVORK5CYII=</item> <item item-id="2">iVBORw0KGgoAAAANSUhEUgAAADgAAAARCAYAAACIJW/gAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAgY0hSTQAAeiYAAICEAAD6AAAAgOgAAHUwAADqYAAAOpgAABdwnLpRPAAA AQZJREFUSEvllu0RwyAIhtNVsoIruJM7OYs72eLFHHooKEnTs/zJhyI8vEHzih/bVjYAXNm2 leHS1/l3gNbauO879GWEe+dcswYwp2fc+DeKS2bovU+AVyTPrXM3ZEEBihljCgXhGYCxjSY9 Or+G1vifgACXF8IKhhDSe7geRwpZ9OwLVyohTZK9uFThcQ4nYO45cKg/UTzWSr4Gq+dpATnI HB/HSe9yBa5SMK83AoiTk9y3+paKOdyDLSU4oLsVpBQuFMRV6e2iTwFKCsQqCJDcOSjpwVY/ zB4JUrhiczk2u6k/GUlAzbEyWwjKbwqQ29F+BS7lqakWpyQ3rokt9VUBSoM8Oe8NgM+jB0wH w2gAAAAASUVORK5CYII=</item> <item item-id="3">iVBORw0KGgoAAAANSUhEUgAAAJEAAAARCAYAAADdaE77AAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAgY0hSTQAAeiYAAICEAAD6AAAAgOgAAHUwAADqYAAAOpgAABdwnLpRPAAA AdBJREFUaEPtWO2tgzAM7FuFFViBndiJWdiJPiNFMq5jm9hJqeT8aUmIv+5yTvt3/I9XjqyA pwJAohxZAU8FXp7NuTcrcHayLENWwFuBDxIty3JM0wT3pAO+r+ta9QHvjBjYzyif0Xn9aty1 Olww4V7atu0kkTS09SgQwA/1Ncp3zxyibH/DDsXkwhRQnnmeL0oEz0AqPEaDyPkbHYMXrMh4 I2215sUqERCoLGAl2vf9nIfP8xJVUagyzylHa6Bln+ZTU0zaDrlYtfglRazljOejgbfY03Ly 4MKSCCaBSDBoO8NrNVX4kLjA+1IriSh5KClpkbX38SEq+Vr3WEC/C6pkU4vvri/6flclsqgH TtCiXB4SccXkFJX64J61g1IjlKTgHJhcfaQ5y+VX6yIeTG7fiayARp48q0/ptGhrEoksakNB 0kjpVQILMXvGwCoRTkr6dWYF9Gkk4ohA5yxksaoNZ3tETaQfQL383/6fiAuEtoxaC2k5fZIt S1G4FlT24TVujgJSaylFFTRfLfnX2p1mayQmTf8WWsDTkvSuR8cQbc+b3y/tbyKRpR/3LEIP wHvY7FmDJ9luJtG3iNQD7Mj2+yRwR8XiItGoINPPsyvwBhBRKKlCTuEkAAAAAElFTkSuQmCC</item> <item item-id="4">iVBORw0KGgoAAAANSUhEUgAAALMAAAARCAYAAACWwJ0WAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAgY0hSTQAAeiYAAICEAAD6AAAAgOgAAHUwAADqYAAAOpgAABdwnLpRPAAA AmZJREFUaEPtWoltwzAMTFfJCl7BO3mnzOKdnNCoApkhxaMoxYEhAUWTms/xdKIIo3/ba93G GgxcgQES81iDgSswcLtCEaOGwcA+YQwaBgNXYUAU82t8OtQ3z/N2v99ptt7o87Isav3clxta zyPEtsQZwZH75vVKtbfgo0WMhLmEl56ln1b8ROMc8KJiezweeyGlZT2XCIsWw/1b4oxikza+ l6CjWPdr+l+sUizrULbI743B8R7UKRFN3W6apkNnpu8kGq0DIaBQ4SOxyKYXTjS/ZoeKtzUf tbg1HN/E58kldmZNyOnvecdb13U/xfQ7nejSadZOvAd0aXNIyD1x1goD4cbbEKSrXuqaOeec 5/Tdujm4XZ6bx289fqDagMVMhiQUWvz6zp9p3efjGmBjCgrYElNvnFb+mtEL7dia2CVBcqFL gq45DNKh1A5IhCvui+gDFnOrjpdAegiQuoBWXG+cOX6tO3nGDK1jW5undT+pM/Mcmg1qV9o7 C7ckUm1/I/y+Z+aSUKyZWfO1xOslwRo1euGMdBuUm9JIoolBahJeYdeKOfdruY81Y9ebB61r cgJLbwnQDbPEHRFN8u2BM4IL5QYRs1eoJftILK6ZHmJGY8JjRgJtvb+VEufXRdoofk2igFEx 9cKJ5i9dp8g8aPHBOeW8apzndryjclFb1z9SRy1faGPN7XJNma/mUGDWRnyDBASrFycS02uj HX5vnFr7lhy0jFVbz8eY4T0VUmK0MNQuWpzmf2b+s4WMjDMo72fyKOovIsoa318h4AwcvyJk Pu6h4tWud69/L/vxj0a9mB1xv87AE2YGWNtjPDaNAAAAAElFTkSuQmCC</item> <item item-id="5">iVBORw0KGgoAAAANSUhEUgAAAFUAAAAtCAYAAADfhCf2AAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAgY0hSTQAAeiYAAICEAAD6AAAAgOgAAHUwAADqYAAAOpgAABdwnLpRPAAA AipJREFUaEPtm0F2gjAQhukRuu2SK7jt0iv0Cl7BrefxLN6JdlBoEkLmTxhiSKbv+RSJIXz9 Z+ZnxI9huA2d/skSIKj6kGXQKVBZoGPkK1SFGp2q/pIl1YzxkUtAVSvVBZkLbNVQXWUq1B1c iUJVqPIVVLqo5FJpM5YqJ9AmoJpAc8GtuvqbHjWnV60aqnReRudTqI7LkEgRVUCdQEiEOAo1 dMzDQ/Vd26NgfOGMfJY75uGhvprsVrMEAWMC9RU0TvWhvoJCTcypCjXikhdVedVQ3fy2tX+K QOWOuQj/87kf+v5zbOrS6+v1e7W5yy2A24/6vqON8+bU+/2H7ZSjwNBxRwMXWq8FlZR5On1Z SqVtguxWyxgIrYGdoRLQ6eRNpT4el/F9evbZlwkuZ8BDYGuDPkOdcihBcsPf3OcDwJnh0D8D 8YsxUVHCWHGluspd25Y4+ZBpf9e+RT8VyalroRrybc0q1VROqPrvCVVCvSXMEe1TkZyK5Ngt bqIEcLClQhcbW61jx6PrKHXcf/W/2bfFdNw2eBtNa0DnQkUATYjoNgeM21+C0rb2Crw92ZHs S5WpzyXASVkD51hS5nw6HSPMUYXO3tNJEamLKOVzUpFlQTVVuwbOzbWlAJFYhxhUicXUMIcU 0MUVVQ1wUs9BoUZ8PYJAlgSqSn3+3GnuFUvBreLbVESNXj9p/B5g8qupc1mX3RKT6Bz2/blN K3UvMShU4aKnhWoHoAT1F9axqjbuDu6QAAAAAElFTkSuQmCC</item> <item item-id="6">iVBORw0KGgoAAAANSUhEUgAAAF0AAAAtCAYAAADMU2cCAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAgY0hSTQAAeiYAAICEAAD6AAAAgOgAAHUwAADqYAAAOpgAABdwnLpRPAAA AhdJREFUeF7tm4sRgyAMhttVXMEV3MmdnMWd2kJLD3mFZ4IQ7npVq/zhS4wBr8/Xpz244RIQ 0LnhEnjgyrGazCyMAZ/AdNA/yVs8w+SHqtEpE4zYBE0Ffiropp8ZegeRj2UCRzoWaU1nWuhU qWXakpES+JTQdeBU8KdKL3qNTlmrTwWd4JnplGToBJ4YErrK1aQp5LfM4LJhOOiutRXsByZk w3DQfy9lLkkDGzpkA0NvlNNDi2sMnaGXEzDzKcX6OWSDFenbtr2WZZGL/GJ733cvCShXQr+X I75nD870chwH+GYlFmjseffEl2f1BbqI7HVdL5Eu9oUT9JYKMvX8Xl42lIw55I4/dAFcwdEj /TxPeVx8u0oh1Tk0Ibk7+FL7Lw7UoQnwopnpReV3H3RoMhByVsoNWnPgKbq17P+zVhu1It2M fN++eeu6VgB9x3zAUvqIqWpC/eXaIB2oXxyT033RFpoM1IqU4SJdhx+qXqigUwKvFTRWetHT TKhOdw0emgyUGk0NvNR+MxVlLQOkQkg9P/Uhd7fzs6CneJ6B2yGRDT0GfA/AY6qUFndKSLcI egtja/YJVVQ1tcwSOLjfSrjHfqnuPMv5PcJpZRNDb0XW028vwK0ZKTIHVDmGjopb/nsQWfEr 5529k1iDKKoPHBN+SJcmBJCgu1YJMaQh3aGhYwDO0WDoOdQKr2HohQBzLmfoOdQKr3kDCLcn NN5qs/AAAAAASUVORK5CYII=</item> <item item-id="7">iVBORw0KGgoAAAANSUhEUgAAAKAAAAAtCAYAAAAp4WArAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAgY0hSTQAAeiYAAICEAAD6AAAAgOgAAHUwAADqYAAAOpgAABdwnLpRPAAA AvJJREFUeF7tmouRwjAMRLlWaIEW6ImeqIWeAGfOjGP8EbGlFWQzc3MQYq28erGdz9/9uR24 0QGUAwFAbnQA5cABJUxdOrDMvrSBDiAdIIBI9x1oP5d+4Rpg+UNsGFVET6n55kAOHQJCAkgw Xw4QQMIAdYAAQu2nOAEkAzAHEPDxNgys3L6EUfARQF8cQLJJ4UOAyKtgSNl9iKb3AFH3Agmg DxZ2mwUB3G3pfXScAPqog2oWcW0Hm2b/H/OV9AmgaunxwUvPei0vNnr6BBDPiHoG6Ge+LX0C qF5+vAABxNdg1xkQwF2XH9v5fA1m/f5fT/9tCj6fz/fj8bi8oBg+Xy6XqoNWi1n03foZCFl5 NSNXyxjFNeD1eu2+IWtlaPHSHfT27tbCoG5/bM3Xst0KwDDinU6n1QgYvgcg080KvqhZ0rPO YbQoM/OdGWu0X6PtXwAG+GLH0hHwdrst+8P/sNU6r3mzs6fZMiEffdLv+efYvxrwtcV8bYQr xR8tWOuknBXbMs4LwLjmC+L5FJz+1iqO1lptK4C1fNKTJYWud3x6Aka4pG00Ri2NmJbwLX5G wVkjYO8MTQtXKmLJgBEAaxq10ayWfw+4fHboxZeM2jWv8v21WNL2o/G26q8ADF8ka0ApDDPP TqlmbkQrhx4g0pEt1WzNADP96J3k1qPYiN7HV8FSGGYaLtVsAViCI9/3KXQtiEuxLTwZgQHR 9uP7gCUT8+lJOrVKOtyKJSlobJ+OGrFd+ltpXz661aa01joyjSvpr+QYSb8lcTwcs+lZsAcD ZucwO56H4n5DDpsAzBfc1h3VgEUjprUv36i3GUAUhBqgzFwyeIcA0dfmMsq7YcxvngOti6Z5 KutIPc2hEVAraca1cUBjNull/gZkrwF//10HCODv1tZ9zzzAt1xHuHeKCao4QABVbGVQiQNe 4OMIKKnWjx2TPyK06F5Lk1OwRQWcaJQeJWqn1tMkgNoVYPymAwSQgEAdIIBQ+ylOAMkA1IEH SK60EdMc1BIAAAAASUVORK5CYII=</item> <item item-id="8">iVBORw0KGgoAAAANSUhEUgAAALQAAAARCAYAAAB0HIZvAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAgY0hSTQAAeiYAAICEAAD6AAAAgOgAAHUwAADqYAAAOpgAABdwnLpRPAAA AlhJREFUaEPtWoFtAzEIbFfJClkhO2WnzJKd0hDVFaFgzoD/25dfqprmbXwcxz169fPxvD7W tRg4CgMk6HUtBo7CwMdREll5LAZe08aiYTFwJAZUQT/HqbccL5fL43Q60az9oM/X69XkQO6V C737GXIrcWZw8L08Xy33Cj4qYjTMPbx0r/1U8VMd55egLXJut9srmd7l3ddIq06oEmcWm1b8 WaLOYv1+OWDW2GvMivMrYrwpVCObXO98Pr85NP1NwrGcCAGGih+JRWtm4UTPt9ahAq7mI4rb wrElvsxZP4K2xNy+5853v99fnUy/W2drBLa91mMqA5yfR2KeiTMqDoSbUVPQHvuae3LOJc+9 uvRi8bNl/OpRBNGGlkdX0LSBxEKXfJTze5YLySQtYjOCaaKZiTODb8TxvCIiwtWExhsr0hBa Y86qJdrgVh6bOLQ1O/cKqLmBtb7KoS2c/HvLpUZGDsu5EUFb5qFh1xrAE2d2D9L8Vm1Ham7l 0RU0OpuiLjSzq5EZOooTKdIWgpaNFRVxrw6ooKXrZzga5a5nkK6g2+be24OoUDxHipA0A2cE B+L2Mq7HByI2dA26rpdHi+HhjvCHxNQaExK0937Xegxq85xFZCRpuWcWzig2bc5DBNJzLM5p c0lrDNL4l84q6+GNA6NNGOEOFbOqL34gEij6eNiCCIS8TI5IfGSNZQDI3oo1lRxUxirJrVJo aHLouooEtRh7nr+3mLlDZ/ndk0fTWKsL7iXp3c+SjO7fA8dfEbMcW1DO+LiUjTF6Jrp+/XMS ytRa9y8Y+ALb1YatyQWyxQAAAABJRU5ErkJggg==</item> <item item-id="9">iVBORw0KGgoAAAANSUhEUgAAAKIAAAAtCAYAAAAtFLAWAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAgY0hSTQAAeiYAAICEAAD6AAAAgOgAAHUwAADqYAAAOpgAABdwnLpRPAAA A0pJREFUeF7tnMF1wyAMht0Reu0xK+TaY1boCl0h18yTWbpTWkhwMYFIGIGF+fteXurYgJA+ fgSO83a7XW4T/uCBrT1gQMQLPtiagWlrA9A+BoGdlQECQNDAAEB8pCZ/KZLJle1LQ2CcDVrt kvYRQLwv1hbwaYFRq13SEGJqTizUtIAYBlyrXRJgQhEDGDUHW7NtpTACRA9EjTmiH2CAONhe o8aAa7SpVAUXg0yysr3UpS3o2uypEWdMzRG11xR43xZNdknDuAsQS/fa/PKSwZa2S9I2aZBK 6+seRK17bVrtKgVGqnw4SLsHsZe9tlZq1qqdEiBjg3QoEJ0DWm/TUHBI2kW15d86fHwFcPPb mjYeJWRrK/sqCLF8jRu0kn5S0EvbxemTdJsl/pkHQ2klmspTeRl1nupLuKihIEttRlN2cGAK 6861jbKB8oXk+V0pIid4WzqfUmupOygcPzgVkmqzBMo5LSmpREtZ3/mtAp7b91Z29QTiIm65 DtV2fWxKitkY5kWxPEmyb6Fdqbql7eKAKN3mGr+F4vG0WDmdDrfD4d2upMz/5/Nn8ouiVKep 82s6gDL9f6M8ms/GAnu9fpFLei5k3OsAWP+AlcRwoYhGAY/Hj4UimmMDZkliCxj3BVmNeM4g GghdA74i/vx828/Ne2y15QCdVz+J5z5ykvWSkYWy9aHngkgxsRA3HyQDozkOp2aXL6ZAjCX+ obEc46O5g7KHmQD68zM+nMXhKxGz51wlUooYKmTqWCKgKXDx+f8Tibm+4Kzuc3YEuClddo6Y UjZKAaGI9adMicHNqYMTy5gCvkzPclfNNUHkOAHXbA90ExCpfcSYEWGOyMkZuZIN8LYHL4wB B0QOE9HFSk7AOYYANH0A5cS49bVzjjhdgl87oI6Zq9lcaFs7AO3pGDAWRAOhDyL3mIKMOj8S BG6qGqnPOX2dQXRArnnPaXDEazEgadWd1ijhvDcYTN8jQkb1GRDSEN63eqhckDhPBWLk8zm3 uEb2kwVxdAfU7H+YF0Id0+oIECv+rg91t6nmIOitboAIEFX8Qi5ABIgAsbfpY429sduda+rZ exkoYkVF3Ds8kv0DiAARU7PkiEJdvI1jrX6CIkIRVSjiL+SZIwPENYrpAAAAAElFTkSuQmCC</item> <item item-id="10">iVBORw0KGgoAAAANSUhEUgAAAH4AAAAtCAYAAABoOd/RAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAgY0hSTQAAeiYAAICEAAD6AAAAgOgAAHUwAADqYAAAOpgAABdwnLpRPAAA AodJREFUeF7tW4mRwjAM5FqhhbRAT/RELemJwxkchPH/aP0oMwxPYmu9K1m2PPw9X9dFrvUY UMLLtR4Dl/WGLCM+ZnmhYU0GlhP+lczVmuZ4oa4uMKAGj7Brio0QvwcMy0/1COFNh0dhwM13 iJAnNlGEi/BA4dE5ng4d5YDLRvy7cAV0v6NwBrOPswwb8scwlHig6LK4A5FPHQ7lfEtFPN0/ wwgndQTkWmMp4TvILt1AEOG7kYIXyJTC62kcOpW+1w+9YphOeFsdnDufj4BhOuFt+3Nu4UfA IMI3Sq09HMb4MIjwInwjBpi7NfMr4ux7BAw/EX+73Z7X6/WoI6vP9/vdKV0od4buM/uEmKOn kzY2Ho9H8AAhVtTY50QVXga+Il5F+LZtXxGvvitHKDlKLBW/tH0NSmfDcAqvRNeDoxG/7/vx u3r3HWWGiialxJW2LxUfbb/2MfIpvM7pyoA51dN7NgJiChY1iKvRR64DIG1rzDUxVI94F0gf aOo4MZ9d4sW0tT2T019OGx++nP5y2pwzM20ck+NdApq/h77nRF5Nj0+1j7TdNOIpEb5VPUp4 NPFo+81yvBY+tI+PyfExOT8l4mYjPWXsJbspn52skm2qEKnP5xIj7eIZyBI+ZdoR0ePF4Hwy W/gY8XsQ3ZZ2OAnWPGkc3Lap/a+0gQDCZbPFziIVOxqDczGeOpCRn+9lBuLi0Fs74QKBttOD 6DHpsRZPZ6HG8ZfwohxfC2TrfpD5tdV2LMSZOeaflBPqYKb76KjntB9aWywR8dp5OYk3A4bb tghPFOAm3+ZwXBiWFp7u4bkIt0U6CoevhrHUVD/TeqV0LCJ8KYODthfhBxWuFLYIX8rgoO3/ AeQD0q/cW4OFAAAAAElFTkSuQmCC</item> <item item-id="11">iVBORw0KGgoAAAANSUhEUgAAAMEAAAAtCAYAAAAXxA9lAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAgY0hSTQAAeiYAAICEAAD6AAAAgOgAAHUwAADqYAAAOpgAABdwnLpRPAAA A45JREFUeF7tW4lxwzAMa1fJClkhO2WnzJKd2sp3SmWGemxTBFvDd73msQUSAiRRdj6/fo4P HmTgzAwkE/AgA2dm4OPMyTN3MrCshEgDGTg7AzTByRXwUwqkmnD5QxxofM4EiF4PhCmF720E NH7uCoz9AwmBofwy4G0CyT0KnyagCxYGUAIs6UfFQBPQBNCagCagAEMxgBqJ0TMRZ4JQMsQG gzIBCpeFMVZvIdERYiwxEfjcIg0pRb+gyj16hAAlPiIGmsBPb0QKzABrgsCdw9B8GKAJfHiG ouRlBurxCDR+ufukcUATQOU5H1x7Nsdz7Y3GzwaQ4l8V5PO7gQhoBtDP6KDxtfsQNAFalc74 aBGi8WkCZ8FFhEOLEI1PE0RUpWNMck2urdFnhoPG12qCt5gkAbfb7etyuSwPVaXX9/u9ypFX gRXhruJRoXhxdTTOM16v7g49Ho/uo7VenapuaYF+BbVXIKityb3xnu26lQnSyH+9XlczQXqf TFEeXgbImBqedwxHhWEZr2VbR/NCXW/JwcsEyQC54XImeD6fy+fpv1ZgSKHOGPVqCY8Qoe0P 5+vK77TPpPFrBV4tZ619K9GM5G6FFbEdy/xfJsg1QEpYLofK72qjsiY2K/L2mqBWS5SC1won aXatnZxvD6Ns34qP1gxpjRG1vSkmsJoJeh1UikcTkkb6ERPUMGqjei3+nuhbxmnNoLV8azxp n9eEuqWNkb7Y2nde+C1D9GJY+qYkcKQmGBWkqVMrhXAPo0dOq84ZHeFrbfRMZjHC9vK3wIja hmXum3eH/qoJakuacuTfKvyW0GVbeUSyEpWlCKxi8mzHMv83E/TuE2jgciodmVpHCWu1NUKE FF/5Xr5urd9b02qrrsgxjsS6hZPRc//reaZ87iHJMoA9+FvX2CMYEXIaiZPn2DOw+1FqpGhm YM9o07672OIMBnabYMZoPJLgDLFaLt9GckCeg841Cv5qQwPZIcT2ZcBjx6qVUTT816aIbzcQ LRIDM2bVLfl54rewDi2HtiTMc2Mx4CnAWuZeMZQ7dOruZqyuYTQeDMhtYw9MieFlgFy7lnhv yzIEAcSMwYCnENEmWBXC4gkELodi6BESBcoE3ri9gpwmgMgvBqi3GPPS5LUr4/TjKJoght5C RCEf/fAOSuJ7mrB1f4IzgbcSiBeOAZogXJcwIG8GaAJvxokXjgGaIFyXMCBvBr4BpABfm6rZ 6kUAAAAASUVORK5CYII=</item> <item item-id="12">iVBORw0KGgoAAAANSUhEUgAAALoAAAAZCAYAAACGhjSxAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAgY0hSTQAAeiYAAICEAAD6AAAAgOgAAHUwAADqYAAAOpgAABdwnLpRPAAA ArxJREFUeF7tWouNwjAM5VZhBVZgJ3ZiFnbiSKWg1PU/SYtqVzodpXby/PzquKF/789xySMZ ODsDReh5JANnZ+By9gAzvmRg6VqShmQgAgMp9AhZDhjj55GjPHsuf1nRAwogQshV3DXWRfAR As8YYzOQQo+d/zDRp9DDpDp2oCn02PkPEX0+jIZIc+wg24fSfBiNrYXTRr8SObXrArdn7vf7 +3q9LnuS5fPj8SAJgr7QULrew/xInD04Wl9I+Aw+RnLK4YV706M4Gj1Oi/P7WUv88/n8br5T wLSEa+08BIzE6Zkfihzb09Vy3ju/1b/9gYXDODN/Vsxa+1XrggVQquTtdltV9HJeBEVVLs3k o8mahVMTC2eDxan9rndujz+Vl9H5snLmiWWlz3pCibx+31bK1+u1VPfyvxwSOVSlGEVeEflM nD0kS9xYiwXWPmDtRss5tapgeeHGwlqCmn9uNfDwp9FGtdHM/a3oVJUpIioHbAmKfb1G+UIA mmXcS8pMnB5MXAGhioOUXI2gocBbMVCilMbF8M7KpfbGl274Teu1R0Wn5uASi1UPyn5URdeI k6pq1M0wsqJrVkZMtFConEg1/tJ4UmGgcmvJuebmU7cuxVDT+2qTObMKzMQpJY67ruWGawE3 1al5K48TXa9oKX9YEKSVyMufNK5FT2zr0gLkdjO0ybQA85IzA6cXCydeqt3T3jQaEXM2Pf57 CF0S+fCKXqs6t49OJQ3rF6Uq0SMqaR/di9OLCesjufZISi42HrfcY/y3AoGtkKalwFYXLz/W dm/VisD3zcH5Bid09oKWkrQHQRrsVpyaMa02nmpunUO7MvSO+wt8amLYvALQA1zrq7XTBOCx OXL+o0XOtVNWLo/k0YwVc+gJQPKVrlsD8NofgeNXRA5bFiuHXEtmHWsv+3ypay+mc55DGfgH 6mb5i/C1oYAAAAAASUVORK5CYII=</item> <item item-id="13">iVBORw0KGgoAAAANSUhEUgAAALcAAAAtCAYAAADsk/q6AAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAgY0hSTQAAeiYAAICEAAD6AAAAgOgAAHUwAADqYAAAOpgAABdwnLpRPAAA A7VJREFUeF7tnU1yHCEMhSdHyDbLuYK3WfoKuUKu4K3P47P4TpN0VzGmZUAS0EjQL1Uue9yA fvh4Lejx5Mfj8f644R8ysGIGNrjxhRysyMBtxaAQExbrXpEABICwKgOXgvt/WWlagm32w9co oCxsjoqNs3MZuEdDRRNPF9aIhWZhkwNu5PVLwB0meQRQ0smz8MXCpjQfZ7QD3AanRVaQWdk9 A1zJmMvDHU+oh8m1LI88xC+BslebpeH2XHOOBm20vV6AtoyzPNzxaYGlanIbzJZJ5PpeEezL nXN7muRRvngry7iF2PP60sp9plpqz4/pHaTnJObG8nrXGhH75ZS7V1I91/K9YlxhnEspt2TC asqFmj5n+SIZt9TmrFha/arpvwTc8UOa1smp6Z+qa3tsXqW+WMTf02YNuKFPyY/p4U7VvlIo UknV9qVgU6i148U+SfpaxN/bZi3cnB/Tw71vHMgboiRQUIhSmy/JOJxtyRitvnA+cPDkYi/5 3mqT8ylW5pR/VLlTrwE3efyugTHVtuekS32Z3aYUdMmd9nAnbRnYS1/ryaWliba0KB3lSXJs HX/q7inxu0ebUuzTKzetu1J1mCaJErXM3SatfQmQ0br/zPh72NT4lyvhUn58g/v19f6433/u dez289vb7+wb/DkQuOu1QaEf/npIwkBSuT8+/nzbpNHBpOBK20mcRRtArWHgAPem1C8vvw7K vb3eYG+pIwE4oGzhRwP0wU54sYEdIIyV+/Pz7/777Xtp4xD65uo9zbFSbTDoN8ciGiV2T+UO NfYGCC1L4mu54y8Kdc0OPrVRG5UILIxxC2PUnD7h7qXcAZIauLWA5RYDfv/1V/ajc1E61tSK V4vve5UROyOpuXOrjoNZslq1wWsXA9qPU+dSriUs9Jgr9WnJmXD3CAhj+ADYJdzcObek5o4V OFemWOyeAb4P8E2Vm4NA65y2PWcf131A6n0evk5L3o8fNXbjXgs/mgxgA0SrRbDDvYEcwyx9 zYHLXbcK2qtd5EsvBMXnJwHulu9eYZnJL/qcYCbfrXzlcnarUeznJpGULlZBzm43qA+UW67c kpwd4I7VOwcwrcVnB8uD/5KJ8uCnJx8kOZv+/dyeEl7jS6zWUG6ZcktzBrgNPuU1d/YPuHm4 uSfhh+cnNWqDPvwkSHKEtxvo86jJGZTbULnpAoBy18GeExLADbhN/58gyR2u1IY95241gP56 xUHOzs8ZlNuRcgP4vsADbsA9dVlSLFmgFn3VAvn0k89/qHb18l0wLhoAAAAASUVORK5C YII=</item> <item item-id="14">iVBORw0KGgoAAAANSUhEUgAAAIQAAAAtCAYAAABvV8OBAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAgY0hSTQAAeiYAAICEAAD6AAAAgOgAAHUwAADqYAAAOpgAABdwnLpRPAAA ArJJREFUeF7tmYtxwyAMhtNVskJW8E7eKbNkpzS4xQeEh3hYPw/5rte0NkL+9SGB8vP+XDe5 RAGtgAJCLlFAK3ATKUQBUwEBQniwFFgaiE/ZhOCg5tU/EAf+9o1eHzCKoFQw5kUFxIUQAWXM hyWB0IIgguGuhd58ECCA2aoHGP7bDqcKywFhBgEZEFTJ8vFvaQJcIOxT91C/eysZX5qwRwU4 obmz7mGn76Zrbml8GXK5kmE1YUDHzh58CJVOAYJ5WbpZinn6YzpfppTWNSISA8y5dIYYID7s Lk4JhNl4Qh0tR/VhOiB8pwduKEb2YTogfEc5biBG9kGAuKhK99AEK/FBgBAgLAWmA8Kt34iO 5Mg+fAGxbdv7fr8fzQv1ed/34BpK1ebU/YsWp5itUMCbIZ7P5wFE7ErdPztfHbSHK/RZbqgV dZURHo+HlSHU3wqQmv47FZ6Q+rXjW0R1FR9OIBQM+qXNDPF6vY7/q9++45SbCULf89cKWju+ Fgr0/DHta9/NWuxmQBUU6nJLht5PhJyiNGJaCNrCRql4yLk5y2/zDBFyPiaoCRTlc6y0UMa7 z5TYKxkT863EXsmYlA/Ze4hQYFNNkBYrrIUNyRBxBbJPGSggkDBw1e8UrBwaZPchfE65ewjK niL18jWnmhzb1Gc5gpHyhcOHok5lrmO5z6eEkfvXKVAERE4KFRiuC94VlouBoEDRGwwof3wl 9IpgUm1GT3xUI6M/p4PC/R6p0xfCn+WB0AKgMkQvG2SKDlUlg5vu0vkoQpTazh2HhJKiw/RA mAFABoOy58qFK+d5qg5TA9Fj/c4JYqtnc3SYHghzh4/aWPaQHag6TA2Eu8JQJYOarltlhJSd 5U8ZWiAEENSVmQpiy/sCREs1J7e1VMmYPJZNXk+AaCLjPEYEiHli2eRNfgGMMZsfe42lGgAA AABJRU5ErkJggg==</item> <item item-id="15">iVBORw0KGgoAAAANSUhEUgAAAMcAAAAtCAYAAAAa2n8iAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAgY0hSTQAAeiYAAICEAAD6AAAAgOgAAHUwAADqYAAAOpgAABdwnLpRPAAA A9BJREFUeF7tWouR6jAMvNcKLdACPdETtdDTvQtzzggh20osS0pumbk5IIk+611Ltvn3/fP6 wgsIAIFPBBZx4AUEgMAnAl8ABQgAARkBiAPMAAIVBCAOUGNF4Kfpdkdj8Vn+3J3/OqzF4I9G FALw20QggqBcjFHipMDQGCAOiOY1c//uWoaiESEOnjDEEUqBfM4ziCODMPgEgcqRj6uuEb3N lAFrjkJIiMN12OGsh0CGnr/W7/din3H9A48ZTmDzGAjQXZosu0ZRyEmVC21V1Ggk9Bvd2kT5 r7WWEEdCkkaF5E1OXrki8paqZ4kD4ogYEfg8BAIQxyGGCUFGIABxRKDu7JOeY3i3TvTsIOIU fm2RyEGnFgOIw5mo3u6kXSgtOSxijfZPz1G2nulAHBYMSG4j+jwj2j+tXryStIYO4khObIvw oskZ7R/isGDRSW1EkzPaP8RxUmKPpsV7fu+T8Gj/0ppDi8FHW3W73b4vl8vrZ8zL+/v9Xh0f r4Xd1oXUKKFmPO+F1YzY/6pNcc3xeDzW3/jXgPEabGn7z8u3FSkitzCtcviLdt7EsVSK6/X6 VjmWz4tY6MubnJI/7xhGyWEZr6Wt0byinvfAYBXHIozikFaO5/P5+n75Ly1s+NbYjFmyBoQG IB4P/czf0/6UD3qrgtVyluxbkUmTu5WvjHY88l/FUdYYCxC8raLXarO4REIrUPeKo7ZWKd/T /634JTvl/p6PluBG8fEgyGiMs573yN28cvBKUpuBKbl6iY6IQyKxVAG5D+lzbwKoCaVVcSXy cGx6n1vrwt6z0vWt9rbe34tpj709z7TieI0ZNapZc2iJ2iP8lhlF61MSYgs0eq0lDk114ALo iW1L/tocLGwexYYlv6r4Shdau1VaoloGr/XZEketNaKVTiMCbXXg9/GqM0pCS3xHY4l43iP/ zeccUlC8dam1MntAbNnSACS1QuU5ek36jleWWhkuVaPna0/+tbbLytZR7WjGfjS3Xb+t8gis l5h1DNb2evHjen4EdomD99feac4g8gyb3rjAny0Cu8URJZAZJLZsA22HZ661GVj2Is6GdQuD IXH0gMD1vAhYbxBoMuVEjBCntI6sxQ5xaEb1ZPfQzYfI1CLFocEA4ohkR5BvDTE8QoM4PFCG DzUClJAZyKkO3PBGLQaoHIagZzeVqeePEuYWDCCO7Iw2jK91iGnopmsqShhlh1XCQQoa4ugO 5XlviCCptqXxQh1buV5IH8yPtzi0M7YnjBCHJ9rwdRoE0FadZiiRiDUCEIc1orB3GgQgjtMM JRKxRuA/X/koC7YgVlsAAAAASUVORK5CYII=</item> <item item-id="16">iVBORw0KGgoAAAANSUhEUgAAALoAAAAZCAYAAACGhjSxAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAgY0hSTQAAeiYAAICEAAD6AAAAgOgAAHUwAADqYAAAOpgAABdwnLpRPAAA AslJREFUeF7tW4txwjAMpauwAitkp+zELOxEca7OCWFJzz9SkHLXKyWW9fT0LCum/Nwf1ymu YODbGUhCjysY+HYGTt8eYMQXDGxdS9AQDHhgIITuIcsOY3w8cqRnz+0nKrpDAXgIOYs7x7oJ 3kPgEaNvBkLovvPvIvpoXVyk2XeQ0aP7zr+76KN1cZdynwGH0H3m3V3UotD58cyyLPfz+byd SabX67qKZHFbPtC635OFkTh7cFBbGm8p9hF8jJiDHsWVXm9n0exsehRHo+ehOMWHUYm06/W6 H75LwFDC0XEtBIzE2eKfi7x0pvvOxV8TA3140zDOzF8N3pqxT+fopQBSlbxcLk8VPf2dBCVV LgTAaLJm4URi0cagVXw0H624JRzvxDfD1y50SeT5fVopb7fbVt3T77yllYjdtw3yUWzP4pCS l0Q+E2eraBBuavkotQ+l9ohWZ2lXKVVwbS7eEvD8jhQoMpelrydupX4sJymJKF28JUhO8j2p anEikW28RVQUywycLZg0XqUFYCUXETQXOBVD9qvlRRKPlTsLewuH2pzWgn9pvbSEjKqUkg80 kFJQNJDZOCl+qapJiZRilIqD1QZZdqXFwBeWJlrE3prPEnWJQ+09lFtVT1blQXpfNJlWVbAI 0u7PxNmDC+VGa3NeqhNrBRFxSmM00Wo21G5GNUf4qNGT2qNTgrXTDDSZNcBaxTUDZysWLVlW ZS757BE0t+2ZixfHGUJH5qzREyR063xaSlrejpDesEdM2XYWzlZsWsvVKnTKKeeV+yvxzytx aQHUtBGIIGv5Q+aUYhWLLgWBOED7JSu4Hl/W3Faf22M/wrZF5CP8Wm1qi4+j8liL9eX/0XuA o7bouNpg0PFH+j9a5Ejv+wk8ohj3xW31gtUT/n11aVTlr/WPjj9C7P9F5Lz9QTmjO0LvHLU+ e8fHN4x6GQz7j2DgF1RT/IiDBtqBAAAAAElFTkSuQmCC</item> </binaryContent> </worksheet>