4120variablemass.fodt

<?xml version="1.0" encoding="UTF-8"?>

<office:document xmlns:office="urn:oasis:names:tc:opendocument:xmlns:office:1.0" xmlns:ooo="http://openoffice.org/2004/office" xmlns:fo="urn:oasis:names:tc:opendocument:xmlns:xsl-fo-compatible:1.0" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:config="urn:oasis:names:tc:opendocument:xmlns:config:1.0" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:meta="urn:oasis:names:tc:opendocument:xmlns:meta:1.0" xmlns:style="urn:oasis:names:tc:opendocument:xmlns:style:1.0" xmlns:text="urn:oasis:names:tc:opendocument:xmlns:text:1.0" xmlns:rpt="http://openoffice.org/2005/report" xmlns:draw="urn:oasis:names:tc:opendocument:xmlns:drawing:1.0" xmlns:dr3d="urn:oasis:names:tc:opendocument:xmlns:dr3d:1.0" xmlns:svg="urn:oasis:names:tc:opendocument:xmlns:svg-compatible:1.0" xmlns:chart="urn:oasis:names:tc:opendocument:xmlns:chart:1.0" xmlns:table="urn:oasis:names:tc:opendocument:xmlns:table:1.0" xmlns:number="urn:oasis:names:tc:opendocument:xmlns:datastyle:1.0" xmlns:ooow="http://openoffice.org/2004/writer" xmlns:oooc="http://openoffice.org/2004/calc" xmlns:of="urn:oasis:names:tc:opendocument:xmlns:of:1.2" xmlns:xforms="http://www.w3.org/2002/xforms" xmlns:tableooo="http://openoffice.org/2009/table" xmlns:calcext="urn:org:documentfoundation:names:experimental:calc:xmlns:calcext:1.0" xmlns:drawooo="http://openoffice.org/2010/draw" xmlns:loext="urn:org:documentfoundation:names:experimental:office:xmlns:loext:1.0" xmlns:field="urn:openoffice:names:experimental:ooo-ms-interop:xmlns:field:1.0" xmlns:math="http://www.w3.org/1998/Math/MathML" xmlns:form="urn:oasis:names:tc:opendocument:xmlns:form:1.0" xmlns:script="urn:oasis:names:tc:opendocument:xmlns:script:1.0" xmlns:formx="urn:openoffice:names:experimental:ooxml-odf-interop:xmlns:form:1.0" xmlns:dom="http://www.w3.org/2001/xml-events" xmlns:xsd="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns:xhtml="http://www.w3.org/1999/xhtml" xmlns:grddl="http://www.w3.org/2003/g/data-view#" xmlns:css3t="http://www.w3.org/TR/css3-text/" xmlns:officeooo="http://openoffice.org/2009/office" office:version="1.3" office:mimetype="application/vnd.oasis.opendocument.text">
 <office:meta><meta:generator>LibreOffice/7.4.6.2$Windows_X86_64 LibreOffice_project/5b1f5509c2decdade7fda905e3e1429a67acd63d</meta:generator><meta:initial-creator>A-S Koh</meta:initial-creator><meta:creation-date>2002-09-04T11:04:36</meta:creation-date><dc:creator>Aik-Siong Koh</dc:creator><dc:date>2018-07-04T13:02:33.43</dc:date><dc:language>en-US</dc:language><meta:editing-cycles>10</meta:editing-cycles><meta:editing-duration>P2DT52M38S</meta:editing-duration><meta:document-statistic meta:table-count="0" meta:image-count="0" meta:object-count="9" meta:page-count="1" meta:paragraph-count="15" meta:word-count="119" meta:character-count="662"/><meta:user-defined meta:name="Info 1"/><meta:user-defined meta:name="Info 2"/><meta:user-defined meta:name="Info 3"/><meta:user-defined meta:name="Info 4"/></office:meta>
 <office:settings>
  <config:config-item-set config:name="ooo:view-settings">
   <config:config-item config:name="ViewAreaTop" config:type="long">501</config:config-item>
   <config:config-item config:name="ViewAreaLeft" config:type="long">501</config:config-item>
   <config:config-item config:name="ViewAreaWidth" config:type="long">33403</config:config-item>
   <config:config-item config:name="ViewAreaHeight" config:type="long">18205</config:config-item>
   <config:config-item config:name="ShowRedlineChanges" config:type="boolean">true</config:config-item>
   <config:config-item config:name="InBrowseMode" config:type="boolean">true</config:config-item>
   <config:config-item-map-indexed config:name="Views">
    <config:config-item-map-entry>
     <config:config-item config:name="ViewId" config:type="string">view2</config:config-item>
     <config:config-item config:name="ViewLeft" config:type="long">670</config:config-item>
     <config:config-item config:name="ViewTop" config:type="long">755</config:config-item>
     <config:config-item config:name="VisibleLeft" config:type="long">501</config:config-item>
     <config:config-item config:name="VisibleTop" config:type="long">501</config:config-item>
     <config:config-item config:name="VisibleRight" config:type="long">33902</config:config-item>
     <config:config-item config:name="VisibleBottom" config:type="long">18704</config:config-item>
     <config:config-item config:name="ZoomType" config:type="short">0</config:config-item>
     <config:config-item config:name="ViewLayoutColumns" config:type="short">0</config:config-item>
     <config:config-item config:name="ViewLayoutBookMode" config:type="boolean">false</config:config-item>
     <config:config-item config:name="ZoomFactor" config:type="short">125</config:config-item>
     <config:config-item config:name="IsSelectedFrame" config:type="boolean">false</config:config-item>
     <config:config-item config:name="KeepRatio" config:type="boolean">false</config:config-item>
     <config:config-item config:name="HideWhitespace" config:type="boolean">false</config:config-item>
     <config:config-item config:name="AnchoredTextOverflowLegacy" config:type="boolean">true</config:config-item>
    </config:config-item-map-entry>
   </config:config-item-map-indexed>
  </config:config-item-set>
  <config:config-item-set config:name="ooo:configuration-settings">
   <config:config-item config:name="ProtectForm" config:type="boolean">false</config:config-item>
   <config:config-item config:name="PrinterName" config:type="string">Microsoft Print to PDF</config:config-item>
   <config:config-item config:name="EmbeddedDatabaseName" config:type="string"/>
   <config:config-item config:name="CurrentDatabaseDataSource" config:type="string"/>
   <config:config-item config:name="LinkUpdateMode" config:type="short">1</config:config-item>
   <config:config-item config:name="AddParaTableSpacingAtStart" config:type="boolean">false</config:config-item>
   <config:config-item config:name="FloattableNomargins" config:type="boolean">false</config:config-item>
   <config:config-item config:name="UnbreakableNumberings" config:type="boolean">false</config:config-item>
   <config:config-item config:name="FieldAutoUpdate" config:type="boolean">true</config:config-item>
   <config:config-item config:name="AddVerticalFrameOffsets" config:type="boolean">false</config:config-item>
   <config:config-item config:name="BackgroundParaOverDrawings" config:type="boolean">false</config:config-item>
   <config:config-item config:name="AddParaTableSpacing" config:type="boolean">false</config:config-item>
   <config:config-item config:name="ChartAutoUpdate" config:type="boolean">true</config:config-item>
   <config:config-item config:name="CurrentDatabaseCommand" config:type="string"/>
   <config:config-item config:name="PrinterSetup" config:type="base64Binary">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</config:config-item>
   <config:config-item config:name="AlignTabStopPosition" config:type="boolean">false</config:config-item>
   <config:config-item config:name="PrinterPaperFromSetup" config:type="boolean">false</config:config-item>
   <config:config-item config:name="IsKernAsianPunctuation" config:type="boolean">false</config:config-item>
   <config:config-item config:name="CharacterCompressionType" config:type="short">0</config:config-item>
   <config:config-item config:name="ApplyUserData" config:type="boolean">true</config:config-item>
   <config:config-item config:name="DoNotJustifyLinesWithManualBreak" config:type="boolean">true</config:config-item>
   <config:config-item config:name="SaveThumbnail" config:type="boolean">true</config:config-item>
   <config:config-item config:name="SaveGlobalDocumentLinks" config:type="boolean">false</config:config-item>
   <config:config-item config:name="SmallCapsPercentage66" config:type="boolean">true</config:config-item>
   <config:config-item config:name="CurrentDatabaseCommandType" config:type="int">0</config:config-item>
   <config:config-item config:name="SaveVersionOnClose" config:type="boolean">false</config:config-item>
   <config:config-item config:name="UpdateFromTemplate" config:type="boolean">true</config:config-item>
   <config:config-item config:name="DoNotCaptureDrawObjsOnPage" config:type="boolean">false</config:config-item>
   <config:config-item config:name="UseFormerObjectPositioning" config:type="boolean">true</config:config-item>
   <config:config-item config:name="PrintSingleJobs" config:type="boolean">false</config:config-item>
   <config:config-item config:name="EmbedSystemFonts" config:type="boolean">false</config:config-item>
   <config:config-item config:name="PrinterIndependentLayout" config:type="string">disabled</config:config-item>
   <config:config-item config:name="IsLabelDocument" config:type="boolean">false</config:config-item>
   <config:config-item config:name="AddFrameOffsets" config:type="boolean">false</config:config-item>
   <config:config-item config:name="AddExternalLeading" config:type="boolean">false</config:config-item>
   <config:config-item config:name="MsWordCompMinLineHeightByFly" config:type="boolean">false</config:config-item>
   <config:config-item config:name="UseOldNumbering" config:type="boolean">true</config:config-item>
   <config:config-item config:name="OutlineLevelYieldsNumbering" config:type="boolean">false</config:config-item>
   <config:config-item config:name="DoNotResetParaAttrsForNumFont" config:type="boolean">true</config:config-item>
   <config:config-item config:name="IgnoreFirstLineIndentInNumbering" config:type="boolean">true</config:config-item>
   <config:config-item config:name="AllowPrintJobCancel" config:type="boolean">true</config:config-item>
   <config:config-item config:name="UseFormerLineSpacing" config:type="boolean">true</config:config-item>
   <config:config-item config:name="AddParaSpacingToTableCells" config:type="boolean">false</config:config-item>
   <config:config-item config:name="AddParaLineSpacingToTableCells" config:type="boolean">false</config:config-item>
   <config:config-item config:name="UseFormerTextWrapping" config:type="boolean">true</config:config-item>
   <config:config-item config:name="RedlineProtectionKey" config:type="base64Binary"/>
   <config:config-item config:name="ConsiderTextWrapOnObjPos" config:type="boolean">false</config:config-item>
   <config:config-item config:name="TableRowKeep" config:type="boolean">false</config:config-item>
   <config:config-item config:name="TabsRelativeToIndent" config:type="boolean">true</config:config-item>
   <config:config-item config:name="IgnoreTabsAndBlanksForLineCalculation" config:type="boolean">false</config:config-item>
   <config:config-item config:name="RsidRoot" config:type="int">824962</config:config-item>
   <config:config-item config:name="LoadReadonly" config:type="boolean">false</config:config-item>
   <config:config-item config:name="ClipAsCharacterAnchoredWriterFlyFrames" config:type="boolean">true</config:config-item>
   <config:config-item config:name="UnxForceZeroExtLeading" config:type="boolean">true</config:config-item>
   <config:config-item config:name="UseOldPrinterMetrics" config:type="boolean">false</config:config-item>
   <config:config-item config:name="TabAtLeftIndentForParagraphsInList" config:type="boolean">false</config:config-item>
   <config:config-item config:name="Rsid" config:type="int">824962</config:config-item>
   <config:config-item config:name="MsWordCompTrailingBlanks" config:type="boolean">false</config:config-item>
   <config:config-item config:name="MathBaselineAlignment" config:type="boolean">false</config:config-item>
   <config:config-item config:name="InvertBorderSpacing" config:type="boolean">false</config:config-item>
   <config:config-item config:name="CollapseEmptyCellPara" config:type="boolean">false</config:config-item>
   <config:config-item config:name="TabOverflow" config:type="boolean">false</config:config-item>
   <config:config-item config:name="StylesNoDefault" config:type="boolean">false</config:config-item>
   <config:config-item config:name="ClippedPictures" config:type="boolean">false</config:config-item>
   <config:config-item config:name="EmbedFonts" config:type="boolean">false</config:config-item>
   <config:config-item config:name="EmbedOnlyUsedFonts" config:type="boolean">false</config:config-item>
   <config:config-item config:name="EmbedLatinScriptFonts" config:type="boolean">true</config:config-item>
   <config:config-item config:name="EmbedAsianScriptFonts" config:type="boolean">true</config:config-item>
   <config:config-item config:name="EmptyDbFieldHidesPara" config:type="boolean">false</config:config-item>
   <config:config-item config:name="EmbedComplexScriptFonts" config:type="boolean">true</config:config-item>
   <config:config-item config:name="TabOverMargin" config:type="boolean">false</config:config-item>
   <config:config-item config:name="TabOverSpacing" config:type="boolean">false</config:config-item>
   <config:config-item config:name="TreatSingleColumnBreakAsPageBreak" config:type="boolean">false</config:config-item>
   <config:config-item config:name="SurroundTextWrapSmall" config:type="boolean">false</config:config-item>
   <config:config-item config:name="ApplyParagraphMarkFormatToNumbering" config:type="boolean">false</config:config-item>
   <config:config-item config:name="PropLineSpacingShrinksFirstLine" config:type="boolean">false</config:config-item>
   <config:config-item config:name="SubtractFlysAnchoredAtFlys" config:type="boolean">true</config:config-item>
   <config:config-item config:name="DisableOffPagePositioning" config:type="boolean">false</config:config-item>
   <config:config-item config:name="ContinuousEndnotes" config:type="boolean">false</config:config-item>
   <config:config-item config:name="ProtectBookmarks" config:type="boolean">false</config:config-item>
   <config:config-item config:name="ProtectFields" config:type="boolean">false</config:config-item>
   <config:config-item config:name="HeaderSpacingBelowLastPara" config:type="boolean">false</config:config-item>
   <config:config-item config:name="FrameAutowidthWithMorePara" config:type="boolean">false</config:config-item>
   <config:config-item config:name="GutterAtTop" config:type="boolean">false</config:config-item>
   <config:config-item config:name="FootnoteInColumnToPageEnd" config:type="boolean">false</config:config-item>
   <config:config-item config:name="ImagePreferredDPI" config:type="int">0</config:config-item>
   <config:config-item config:name="AutoFirstLineIndentDisregardLineSpace" config:type="boolean">false</config:config-item>
   <config:config-item config:name="WordLikeWrapForAsCharFlys" config:type="boolean">false</config:config-item>
   <config:config-item config:name="NoNumberingShowFollowBy" config:type="boolean">false</config:config-item>
   <config:config-item config:name="PrintAnnotationMode" config:type="short">0</config:config-item>
   <config:config-item config:name="PrintGraphics" config:type="boolean">true</config:config-item>
   <config:config-item config:name="PrintBlackFonts" config:type="boolean">false</config:config-item>
   <config:config-item config:name="PrintLeftPages" config:type="boolean">true</config:config-item>
   <config:config-item config:name="PrintControls" config:type="boolean">true</config:config-item>
   <config:config-item config:name="PrintPageBackground" config:type="boolean">true</config:config-item>
   <config:config-item config:name="PrintTextPlaceholder" config:type="boolean">false</config:config-item>
   <config:config-item config:name="PrintDrawings" config:type="boolean">true</config:config-item>
   <config:config-item config:name="PrintHiddenText" config:type="boolean">false</config:config-item>
   <config:config-item config:name="PrintProspect" config:type="boolean">false</config:config-item>
   <config:config-item config:name="PrintTables" config:type="boolean">true</config:config-item>
   <config:config-item config:name="PrintProspectRTL" config:type="boolean">false</config:config-item>
   <config:config-item config:name="PrintReversed" config:type="boolean">false</config:config-item>
   <config:config-item config:name="PrintRightPages" config:type="boolean">true</config:config-item>
   <config:config-item config:name="PrintFaxName" config:type="string"/>
   <config:config-item config:name="PrintPaperFromSetup" config:type="boolean">false</config:config-item>
   <config:config-item config:name="PrintEmptyPages" config:type="boolean">true</config:config-item>
  </config:config-item-set>
 </office:settings>
 <office:scripts>
  <office:script script:language="ooo:Basic">
   <ooo:libraries xmlns:ooo="http://openoffice.org/2004/office" xmlns:xlink="http://www.w3.org/1999/xlink"/>
  </office:script>
 </office:scripts>
 <office:font-face-decls>
  <style:font-face style:name="Arial" svg:font-family="Arial" style:font-family-generic="swiss" style:font-pitch="variable"/>
  <style:font-face style:name="Arial Unicode MS" svg:font-family="&apos;Arial Unicode MS&apos;" style:font-pitch="variable"/>
  <style:font-face style:name="HG Mincho Light J" svg:font-family="&apos;HG Mincho Light J&apos;" style:font-pitch="variable"/>
  <style:font-face style:name="MS Gothic" svg:font-family="&apos;MS Gothic&apos;" style:font-family-generic="system" style:font-pitch="variable"/>
  <style:font-face style:name="Tahoma" svg:font-family="Tahoma" style:font-family-generic="system" style:font-pitch="variable"/>
  <style:font-face style:name="Thorndale" svg:font-family="Thorndale" style:font-family-generic="roman" style:font-pitch="variable"/>
 </office:font-face-decls>
 <office:styles>
  <style:default-style style:family="graphic">
   <style:graphic-properties svg:stroke-color="#808080" draw:fill-color="#cfe7f5" fo:wrap-option="no-wrap" draw:shadow-offset-x="0.1181in" draw:shadow-offset-y="0.1181in" draw:start-line-spacing-horizontal="0.1114in" draw:start-line-spacing-vertical="0.1114in" draw:end-line-spacing-horizontal="0.1114in" draw:end-line-spacing-vertical="0.1114in" style:flow-with-text="true"/>
   <style:paragraph-properties style:text-autospace="ideograph-alpha" style:line-break="strict" style:font-independent-line-spacing="false">
    <style:tab-stops/>
   </style:paragraph-properties>
   <style:text-properties fo:color="#000000" loext:opacity="100%" loext:color-lum-mod="100%" loext:color-lum-off="0%" style:font-name="Thorndale" fo:font-size="12pt" fo:language="en" fo:country="US" style:font-name-asian="HG Mincho Light J" style:font-size-asian="12pt" style:language-asian="zxx" style:country-asian="none" style:font-name-complex="Arial Unicode MS" style:font-size-complex="12pt" style:language-complex="zxx" style:country-complex="none"/>
  </style:default-style>
  <style:default-style style:family="paragraph">
   <style:paragraph-properties fo:hyphenation-ladder-count="no-limit" style:text-autospace="ideograph-alpha" style:punctuation-wrap="hanging" style:line-break="strict" style:tab-stop-distance="0.8681in" style:writing-mode="page"/>
   <style:text-properties fo:color="#000000" loext:opacity="100%" style:font-name="Thorndale" fo:font-size="12pt" fo:language="en" fo:country="US" style:font-name-asian="HG Mincho Light J" style:font-size-asian="12pt" style:language-asian="zxx" style:country-asian="none" style:font-name-complex="Arial Unicode MS" style:font-size-complex="12pt" style:language-complex="zxx" style:country-complex="none" fo:hyphenate="false" fo:hyphenation-remain-char-count="2" fo:hyphenation-push-char-count="2" loext:hyphenation-no-caps="false" loext:hyphenation-no-last-word="false" loext:hyphenation-word-char-count="no-limit" loext:hyphenation-zone="no-limit"/>
  </style:default-style>
  <style:default-style style:family="table">
   <style:table-properties table:border-model="separating"/>
  </style:default-style>
  <style:default-style style:family="table-row">
   <style:table-row-properties fo:keep-together="always"/>
  </style:default-style>
  <style:style style:name="Standard" style:family="paragraph" style:class="text"/>
  <style:style style:name="Heading" style:family="paragraph" style:parent-style-name="Standard" style:next-style-name="Text_20_body" style:class="text">
   <style:paragraph-properties fo:margin-top="0.1665in" fo:margin-bottom="0.0835in" style:contextual-spacing="false" fo:keep-with-next="always"/>
   <style:text-properties style:font-name="Arial" fo:font-family="Arial" style:font-family-generic="swiss" style:font-pitch="variable" fo:font-size="14pt" style:font-name-asian="MS Gothic" style:font-family-asian="&apos;MS Gothic&apos;" style:font-family-generic-asian="system" style:font-pitch-asian="variable" style:font-size-asian="14pt" style:font-name-complex="Tahoma" style:font-family-complex="Tahoma" style:font-family-generic-complex="system" style:font-pitch-complex="variable" style:font-size-complex="14pt"/>
  </style:style>
  <style:style style:name="Text_20_body" style:display-name="Text body" style:family="paragraph" style:parent-style-name="Standard" style:class="text">
   <style:paragraph-properties fo:margin-top="0in" fo:margin-bottom="0.0835in" style:contextual-spacing="false"/>
  </style:style>
  <style:style style:name="Heading_20_2" style:display-name="Heading 2" style:family="paragraph" style:parent-style-name="Standard" style:next-style-name="Standard" style:default-outline-level="2" style:class="text">
   <style:paragraph-properties fo:margin-top="0.1665in" fo:margin-bottom="0.0417in" style:contextual-spacing="false" fo:keep-with-next="always"/>
   <style:text-properties fo:font-weight="bold" style:font-weight-asian="bold"/>
  </style:style>
  <style:style style:name="equation" style:family="paragraph" style:parent-style-name="Standard">
   <style:paragraph-properties>
    <style:tab-stops>
     <style:tab-stop style:position="6.25in" style:type="right"/>
    </style:tab-stops>
   </style:paragraph-properties>
  </style:style>
  <style:style style:name="Footnote_20_Symbol" style:display-name="Footnote Symbol" style:family="text"/>
  <style:style style:name="Endnote_20_Symbol" style:display-name="Endnote Symbol" style:family="text"/>
  <style:style style:name="Footnote_20_anchor" style:display-name="Footnote anchor" style:family="text">
   <style:text-properties style:text-position="super 58%"/>
  </style:style>
  <style:style style:name="Endnote_20_anchor" style:display-name="Endnote anchor" style:family="text">
   <style:text-properties style:text-position="super 58%"/>
  </style:style>
  <style:style style:name="OLE" style:family="graphic">
   <style:graphic-properties text:anchor-type="paragraph" svg:x="0in" svg:y="0in" style:wrap="none" style:vertical-pos="top" style:vertical-rel="paragraph" style:horizontal-pos="center" style:horizontal-rel="paragraph"/>
  </style:style>
  <style:style style:name="Formula" style:family="graphic">
   <style:graphic-properties text:anchor-type="as-char" svg:y="0in" fo:margin-left="0.0791in" fo:margin-right="0.0791in" style:vertical-pos="middle" style:vertical-rel="text"/>
  </style:style>
  <text:outline-style style:name="Outline">
   <text:outline-level-style text:level="1" loext:num-list-format="%1%" style:num-format="">
    <style:list-level-properties/>
   </text:outline-level-style>
   <text:outline-level-style text:level="2" loext:num-list-format="%2%" style:num-format="">
    <style:list-level-properties/>
   </text:outline-level-style>
   <text:outline-level-style text:level="3" loext:num-list-format="%3%" style:num-format="">
    <style:list-level-properties/>
   </text:outline-level-style>
   <text:outline-level-style text:level="4" loext:num-list-format="%4%" style:num-format="">
    <style:list-level-properties/>
   </text:outline-level-style>
   <text:outline-level-style text:level="5" loext:num-list-format="%5%" style:num-format="">
    <style:list-level-properties/>
   </text:outline-level-style>
   <text:outline-level-style text:level="6" loext:num-list-format="%6%" style:num-format="">
    <style:list-level-properties/>
   </text:outline-level-style>
   <text:outline-level-style text:level="7" loext:num-list-format="%7%" style:num-format="">
    <style:list-level-properties/>
   </text:outline-level-style>
   <text:outline-level-style text:level="8" loext:num-list-format="%8%" style:num-format="">
    <style:list-level-properties/>
   </text:outline-level-style>
   <text:outline-level-style text:level="9" loext:num-list-format="%9%" style:num-format="">
    <style:list-level-properties/>
   </text:outline-level-style>
   <text:outline-level-style text:level="10" loext:num-list-format="%10%" style:num-format="">
    <style:list-level-properties/>
   </text:outline-level-style>
  </text:outline-style>
  <text:notes-configuration text:note-class="footnote" text:citation-style-name="Footnote_20_Symbol" text:citation-body-style-name="Footnote_20_anchor" style:num-format="1" text:start-value="0" text:footnotes-position="page" text:start-numbering-at="page"/>
  <text:notes-configuration text:note-class="endnote" text:citation-style-name="Endnote_20_Symbol" text:citation-body-style-name="Endnote_20_anchor" text:master-page-name="Endnote" style:num-format="1" text:start-value="0"/>
  <text:linenumbering-configuration text:number-lines="false" text:offset="0.1965in" style:num-format="1" text:number-position="left" text:increment="5"/>
 </office:styles>
 <office:automatic-styles>
  <style:style style:name="P1" style:family="paragraph" style:parent-style-name="Standard">
   <style:text-properties fo:font-size="12pt"/>
  </style:style>
  <style:style style:name="P2" style:family="paragraph" style:parent-style-name="equation">
   <style:text-properties fo:font-size="12pt"/>
  </style:style>
  <style:style style:name="fr1" style:family="graphic" style:parent-style-name="Formula">
   <style:graphic-properties style:vertical-pos="middle" style:vertical-rel="text" style:horizontal-pos="center" style:horizontal-rel="paragraph" draw:ole-draw-aspect="1"/>
  </style:style>
  <style:style style:name="fr2" style:family="graphic" style:parent-style-name="Formula">
   <style:graphic-properties style:vertical-pos="middle" style:vertical-rel="text" style:horizontal-pos="from-left" style:horizontal-rel="paragraph-content" draw:ole-draw-aspect="1"/>
  </style:style>
  <style:page-layout style:name="pm1">
   <style:page-layout-properties fo:page-width="8.5in" fo:page-height="11in" style:num-format="1" style:print-orientation="portrait" fo:margin-top="1in" fo:margin-bottom="1in" fo:margin-left="1.25in" fo:margin-right="1.25in" style:writing-mode="lr-tb" style:layout-grid-color="#c0c0c0" style:layout-grid-lines="20" style:layout-grid-base-height="0.278in" style:layout-grid-ruby-height="0.139in" style:layout-grid-mode="none" style:layout-grid-ruby-below="false" style:layout-grid-print="false" style:layout-grid-display="false" style:footnote-max-height="0in" loext:margin-gutter="0in">
    <style:footnote-sep style:width="0.0071in" style:distance-before-sep="0.0398in" style:distance-after-sep="0.0398in" style:line-style="solid" style:adjustment="left" style:rel-width="25%" style:color="#000000"/>
   </style:page-layout-properties>
   <style:header-style/>
   <style:footer-style/>
  </style:page-layout>
  <style:page-layout style:name="pm2">
   <style:page-layout-properties fo:page-width="8.5in" fo:page-height="11in" style:num-format="1" style:print-orientation="portrait" fo:margin-top="0.7874in" fo:margin-bottom="0.7874in" fo:margin-left="0.7874in" fo:margin-right="0.7874in" style:writing-mode="lr-tb" style:layout-grid-color="#c0c0c0" style:layout-grid-lines="20" style:layout-grid-base-height="0.278in" style:layout-grid-ruby-height="0.139in" style:layout-grid-mode="none" style:layout-grid-ruby-below="false" style:layout-grid-print="false" style:layout-grid-display="false" style:footnote-max-height="0in" loext:margin-gutter="0in">
    <style:footnote-sep style:line-style="solid" style:adjustment="left" style:rel-width="25%" style:color="#000000"/>
   </style:page-layout-properties>
   <style:header-style/>
   <style:footer-style/>
  </style:page-layout>
  <style:style style:name="dp1" style:family="drawing-page">
   <style:drawing-page-properties draw:background-size="full"/>
  </style:style>
 </office:automatic-styles>
 <office:master-styles>
  <style:master-page style:name="Standard" style:page-layout-name="pm1" draw:style-name="dp1"/>
  <style:master-page style:name="Endnote" style:page-layout-name="pm2" draw:style-name="dp1"/>
 </office:master-styles>
 <office:body>
  <office:text>
   <text:sequence-decls>
    <text:sequence-decl text:display-outline-level="0" text:name="Illustration"/>
    <text:sequence-decl text:display-outline-level="0" text:name="Table"/>
    <text:sequence-decl text:display-outline-level="0" text:name="Text"/>
    <text:sequence-decl text:display-outline-level="0" text:name="Drawing"/>
    <text:sequence-decl text:display-outline-level="0" text:name="Figure"/>
   </text:sequence-decls>
   <text:h text:style-name="Heading_20_2" text:outline-level="2">Variable Mass Body</text:h>
   <text:p text:style-name="Standard">A variable mass body consists of one rigid body and many fluid streams.</text:p>
   <text:p text:style-name="Standard">Each fluid stream has an accumulated mass and many inlets. Outlets are negative inlets.</text:p>
   <text:p text:style-name="Standard">Each inlet has a mass rate and a relative fluid velocity.</text:p>
   <text:p text:style-name="Standard">The relative fluid velocity is wrt the z axis of an endframe which can move relative to a marker frame which is fixed to the partframe for a variable mass stream .</text:p>
   <text:p text:style-name="Standard"/>
   <text:p text:style-name="Standard"><draw:frame draw:style-name="fr2" draw:name="Object1" text:anchor-type="as-char" svg:width="0.1925in" svg:height="0.1902in" draw:z-index="0"><draw:object>
      <math xmlns="http://www.w3.org/1998/Math/MathML" display="block">
       <semantics>
        <mi>p</mi>
        <annotation encoding="StarMath 5.0">p</annotation>
       </semantics>
      </math>
     </draw:object><draw:image>
      <office:binary-data>VkNMTVRGAQAxAAAAAAAAAAEAGwAAAAAAAAAAAAAAAAABAAAAAQAAAAEAAAABAAAAAekBAADk
       AQAADwAAAJYAAQACAAAACQCLAAEAAgAAAP//gQABABAAAAAAAAAAAAAAAOgBAADjAQAAlQAB
       AAQAAAAAAAAAlgABAAIAAAAJAIsAAQACAAAAHwCKAAEAPwAAAAQAOQAAAAkAVGhvcm5kYWxl
       AAAAAAAApwEAAAAAAAAAAAUAAAAAAAIA/wMAAAAAAAAAAAD/AwAAAAAAAAAAAIgAAQACAAAA
       AQCHAAEABQAAAP////8AhgABAAQAAAAAAAAAcgACABcAAACfAAAAcgEAAAEAcNQAAAAAAAEA
       AQBwAIwAAQAAAAAAlQABAAQAAAAAAAAAlgABAAIAAAAJAIwAAQAAAAAA
      </office:binary-data>
     </draw:image>
    </draw:frame>= partframe for a variable mass stream.</text:p>
   <text:p text:style-name="Standard"><draw:frame draw:style-name="fr2" draw:name="Object2" text:anchor-type="as-char" svg:width="0.4283in" svg:height="0.2102in" draw:z-index="1"><draw:object>
      <math xmlns="http://www.w3.org/1998/Math/MathML" display="block">
       <semantics>
        <mrow>
         <mi>M</mi>
         <mrow>
          <mo fence="true" form="prefix" stretchy="true">(</mo>
          <mrow>
           <mi>t</mi>
          </mrow>
          <mo fence="true" form="postfix" stretchy="true">)</mo>
         </mrow>
        </mrow>
        <annotation encoding="StarMath 5.0">M
left(
t
right)</annotation>
       </semantics>
      </math>
     </draw:object><draw:image>
      <office:binary-data>VkNMTVRGAQAxAAAAAAAAAAEAGwAAAAAAAAAAAAAAAAABAAAAAQAAAAEAAAABAAAAAUEEAAAX
       AgAAJAAAAJYAAQACAAAACQCLAAEAAgAAAP//gQABABAAAAAAAAAAAAAAAEAEAAAWAgAAlQAB
       AAQAAAAAAAAAlgABAAIAAAAJAIsAAQACAAAAHwCKAAEAOwAAAAMANQAAAAkAVGhvcm5kYWxl
       AAAAAAAApwEAAAAAAAAAAAUAAAAAAAIA/wMAAAAAAAAAAAD/AwAAAAAAiAABAAIAAAABAIcA
       AQAFAAAA/////wCGAAEABAAAAAAAAAByAAIAFwAAAGoAAACNAQAAAQBNXwEAAAAA//8BAE0A
       jAABAAAAAACLAAEAAgAAAB8AigABADwAAAADADYAAAAKAE9wZW5TeW1ib2wAANgAAADsAQAA
       //8AAAAABQAAAAAAAAD/AwAAAAAAAAAAAP8DAAAAAACIAAEAAgAAAAEAhwABAAUAAAD/////
       AIYAAQAEAAAAAAAAAHIAAgAaAAAARgIAAKcBAAABAAAAKABmAAAAAAD//wEAKACMAAEAAAAA
       AIsAAQACAAAAHwCKAAEAOwAAAAMANQAAAAkAVGhvcm5kYWxlAAAAAAAApwEAAAAAAAAAAAUA
       AAAAAAIA/wMAAAAAAAAAAAD/AwAAAAAAiAABAAIAAAABAIcAAQAFAAAA/////wCGAAEABAAA
       AAAAAAByAAIAFwAAAMoCAACNAQAAAQB0dwAAAAAA//8BAHQAjAABAAAAAACLAAEAAgAAAB8A
       igABADwAAAADADYAAAAKAE9wZW5TeW1ib2wAANgAAADsAQAA//8AAAAABQAAAAAAAAD/AwAA
       AAAAAAAAAP8DAAAAAACIAAEAAgAAAAEAhwABAAUAAAD/////AIYAAQAEAAAAAAAAAHIAAgAa
       AAAAhAMAAKcBAAABAAAAKQBmAAAAAAD//wEAKQCMAAEAAAAAAJUAAQAEAAAAAAAAAJYAAQAC
       AAAACQCMAAEAAAAAAA==
      </office:binary-data>
     </draw:image>
    </draw:frame>= accumulated mass as function of time.</text:p>
   <text:p text:style-name="Standard"><draw:frame draw:style-name="fr2" draw:name="Object3" text:anchor-type="as-char" svg:width="0.4126in" svg:height="0.2244in" draw:z-index="2"><draw:object>
      <math xmlns="http://www.w3.org/1998/Math/MathML" display="block">
       <semantics>
        <mrow>
         <mover accent="true">
          <msub>
           <mi>m</mi>
           <mi>i</mi>
          </msub>
          <mo stretchy="false">˙</mo>
         </mover>
         <mrow>
          <mo fence="true" form="prefix" stretchy="true">(</mo>
          <mrow>
           <mi>t</mi>
          </mrow>
          <mo fence="true" form="postfix" stretchy="true">)</mo>
         </mrow>
        </mrow>
        <annotation encoding="StarMath 5.0">dot m_i
left(
t
right)</annotation>
       </semantics>
      </math>
     </draw:object><draw:image>
      <office:binary-data>VkNMTVRGAQAxAAAAAAAAAAEAGwAAAAAAAAAAAAAAAAABAAAAAQAAAAEAAAABAAAAARcEAAA5
       AgAAMgAAAJYAAQACAAAACQCLAAEAAgAAAP//gQABABAAAAAAAAAAAAAAABYEAAA4AgAAlQAB
       AAQAAAAAAAAAlgABAAIAAAAJAIsAAQACAAAAHwCKAAEAPAAAAAMANgAAAAoAT3BlblN5bWJv
       bAAAAAAAAKcBAAD//wAAAAAFAAAAAAAAAP8DAAAAAAAAAAAA/wMAAAAAAIgAAQACAAAAAQCH
       AAEABQAAAP////8AhgABAAQAAAAAAAAAcgACABoAAADuAAAAwgEAAAEAAADZAm4AAAAAAP//
       AQDZAowAAQAAAAAAiwABAAIAAAAfAIoAAQA7AAAAAwA1AAAACQBUaG9ybmRhbGUAAAAAAACn
       AQAAAAAAAAAABQAAAAAAAgD/AwAAAAAAAAAAAP8DAAAAAACIAAEAAgAAAAEAhwABAAUAAAD/
       ////AIYAAQAEAAAAAAAAAHIAAgAXAAAAagAAAI0BAAABAG0xAQAAAAD//wEAbQCMAAEAAAAA
       AIsAAQACAAAAHwCKAAEAOwAAAAMANQAAAAkAVGhvcm5kYWxlAAAAAAAA/QAAAAAAAAAAAAUA
       AAAAAAIA/wMAAAAAAAAAAAD/AwAAAAAAiAABAAIAAAABAIcAAQAFAAAA/////wCGAAEABAAA
       AAAAAAByAAIAFwAAAKcBAAD3AQAAAQBpSAAAAAAA//8BAGkAjAABAAAAAACLAAEAAgAAAB8A
       igABADwAAAADADYAAAAKAE9wZW5TeW1ib2wAANgAAADsAQAA//8AAAAABQAAAAAAAAD/AwAA
       AAAAAAAAAP8DAAAAAACIAAEAAgAAAAEAhwABAAUAAAD/////AIYAAQAEAAAAAAAAAHIAAgAa
       AAAALAIAAKcBAAABAAAAKABmAAAAAAD//wEAKACMAAEAAAAAAIsAAQACAAAAHwCKAAEAOwAA
       AAMANQAAAAkAVGhvcm5kYWxlAAAAAAAApwEAAAAAAAAAAAUAAAAAAAIA/wMAAAAAAAAAAAD/
       AwAAAAAAiAABAAIAAAABAIcAAQAFAAAA/////wCGAAEABAAAAAAAAAByAAIAFwAAAJUCAACN
       AQAAAQB0dwAAAAAA//8BAHQAjAABAAAAAACLAAEAAgAAAB8AigABADwAAAADADYAAAAKAE9w
       ZW5TeW1ib2wAANgAAADsAQAA//8AAAAABQAAAAAAAAD/AwAAAAAAAAAAAP8DAAAAAACIAAEA
       AgAAAAEAhwABAAUAAAD/////AIYAAQAEAAAAAAAAAHIAAgAaAAAATwMAAKcBAAABAAAAKQBm
       AAAAAAD//wEAKQCMAAEAAAAAAJUAAQAEAAAAAAAAAJYAAQACAAAACQCMAAEAAAAAAA==
      </office:binary-data>
     </draw:image>
    </draw:frame>= inlet mass rate as function of time.</text:p>
   <text:p text:style-name="Standard"><draw:frame draw:style-name="fr2" draw:name="Object4" text:anchor-type="as-char" svg:width="0.3953in" svg:height="0.2244in" draw:z-index="3"><draw:object>
      <math xmlns="http://www.w3.org/1998/Math/MathML" display="block">
       <semantics>
        <mrow>
         <msub>
          <mi>u</mi>
          <mi>z</mi>
         </msub>
         <mrow>
          <mo fence="true" form="prefix" stretchy="true">(</mo>
          <mrow>
           <mi>t</mi>
          </mrow>
          <mo fence="true" form="postfix" stretchy="true">)</mo>
         </mrow>
        </mrow>
        <annotation encoding="StarMath 5.0">u_z
left(
t
right)</annotation>
       </semantics>
      </math>
     </draw:object><draw:image>
      <office:binary-data>VkNMTVRGAQAxAAAAAAAAAAEAGwAAAAAAAAAAAAAAAAABAAAAAQAAAAEAAAABAAAAAewDAAA5
       AgAAKwAAAJYAAQACAAAACQCLAAEAAgAAAP//gQABABAAAAAAAAAAAAAAAOsDAAA4AgAAlQAB
       AAQAAAAAAAAAlgABAAIAAAAJAIsAAQACAAAAHwCKAAEAOwAAAAMANQAAAAkAVGhvcm5kYWxl
       AAAAAAAApwEAAAAAAAAAAAUAAAAAAAIA/wMAAAAAAAAAAAD/AwAAAAAAiAABAAIAAAABAIcA
       AQAFAAAA/////wCGAAEABAAAAAAAAAByAAIAFwAAAGoAAACNAQAAAQB11AAAAAAA//8BAHUA
       jAABAAAAAACLAAEAAgAAAB8AigABADsAAAADADUAAAAJAFRob3JuZGFsZQAAAAAAAP0AAAAA
       AAAAAAAFAAAAAAACAP8DAAAAAAAAAAAA/wMAAAAAAIgAAQACAAAAAQCHAAEABQAAAP////8A
       hgABAAQAAAAAAAAAcgACABcAAABYAQAA9wEAAAEAemEAAAAAAP//AQB6AIwAAQAAAAAAiwAB
       AAIAAAAfAIoAAQA8AAAAAwA2AAAACgBPcGVuU3ltYm9sAADYAAAA7AEAAP//AAAAAAUAAAAA
       AAAA/wMAAAAAAAAAAAD/AwAAAAAAiAABAAIAAAABAIcAAQAFAAAA/////wCGAAEABAAAAAAA
       AAByAAIAGgAAAPcBAACnAQAAAQAAACgAZgAAAAAA//8BACgAjAABAAAAAACLAAEAAgAAAB8A
       igABADsAAAADADUAAAAJAFRob3JuZGFsZQAAAAAAAKcBAAAAAAAAAAAFAAAAAAACAP8DAAAA
       AAAAAAAA/wMAAAAAAIgAAQACAAAAAQCHAAEABQAAAP////8AhgABAAQAAAAAAAAAcgACABcA
       AAB7AgAAjQEAAAEAdHcAAAAAAP//AQB0AIwAAQAAAAAAiwABAAIAAAAfAIoAAQA8AAAAAwA2
       AAAACgBPcGVuU3ltYm9sAADYAAAA7AEAAP//AAAAAAUAAAAAAAAA/wMAAAAAAAAAAAD/AwAA
       AAAAiAABAAIAAAABAIcAAQAFAAAA/////wCGAAEABAAAAAAAAAByAAIAGgAAABoDAACnAQAA
       AQAAACkAZgAAAAAA//8BACkAjAABAAAAAACVAAEABAAAAAAAAACWAAEAAgAAAAkAjAABAAAA
       AAA=
      </office:binary-data>
     </draw:image>
    </draw:frame>= relative fluid velocity wrt the z axis of an endframe.</text:p>
   <text:p text:style-name="P1"><draw:frame draw:style-name="fr1" draw:name="Object158" text:anchor-type="as-char" svg:width="0.9543in" svg:height="0.2398in" draw:z-index="4"><draw:object>
      <math xmlns="http://www.w3.org/1998/Math/MathML" display="block">
       <semantics>
        <mrow>
         <msub>
          <mstyle mathvariant="bold">
           <mi mathvariant="normal">r</mi>
          </mstyle>
          <mi mathvariant="italic">apa</mi>
         </msub>
         <mrow>
          <mrow>
           <mo fence="true" form="prefix" stretchy="true">(</mo>
           <mrow>
            <msub>
             <mstyle mathvariant="bold">
              <mi mathvariant="normal">q</mi>
             </mstyle>
             <mi>X</mi>
            </msub>
           </mrow>
           <mo fence="true" form="postfix" stretchy="true">)</mo>
          </mrow>
          <mo stretchy="false">=</mo>
          <msub>
           <mstyle mathvariant="bold">
            <mi mathvariant="normal">q</mi>
           </mstyle>
           <mi>X</mi>
          </msub>
         </mrow>
        </mrow>
        <annotation encoding="StarMath 5.0">{bold nitalic r}_ apa left({bold nitalic q}_X right)={bold nitalic q}_X</annotation>
       </semantics>
      </math>
     </draw:object><draw:image>
      <office:binary-data>VkNMTVRGAQAxAAAAAAAAAAEAGwAAAAAAAAAAAAAAAAABAAAAAQAAAAEAAAABAAAAAXgJAABg
       AgAARwAAAJYAAQACAAAACQCLAAEAAgAAAP//gQABABAAAAAAAAAAAAAAAHcJAABfAgAAlQAB
       AAQAAAAAAAAAlgABAAIAAAAJAIsAAQACAAAAHwCKAAEAOwAAAAMANQAAAAkAVGhvcm5kYWxl
       AAAAAAAApwEAAAAAAAAAAAgAAAAAAAAA/wMAAAAAAAAAAAD/AwAAAAAAiAABAAIAAAABAIcA
       AQAFAAAA/////wCGAAEABAAAAAAAAAByAAIAFwAAAGoAAACnAQAAAQByugAAAAAA//8BAHIA
       jAABAAAAAACLAAEAAgAAAB8AigABADsAAAADADUAAAAJAFRob3JuZGFsZQAAAAAAAP0AAAAA
       AAAAAAAFAAAAAAACAP8DAAAAAAAAAAAA/wMAAAAAAIgAAQACAAAAAQCHAAEABQAAAP////8A
       hgABAAQAAAAAAAAAcgACAB0AAAA+AQAAEQIAAAMAYXBhfQEAAAAA//8DAGEAcABhAIwAAQAA
       AAAAiwABAAIAAAAfAIoAAQA8AAAAAwA2AAAACgBPcGVuU3ltYm9sAAD3AAAANQIAAP//AAAA
       AAUAAAAAAAAA/wMAAAAAAAAAAAD/AwAAAAAAiAABAAIAAAABAIcAAQAFAAAA/////wCGAAEA
       BAAAAAAAAAByAAIAGgAAAOUCAADcAQAAAQAAACgAdwAAAAAA//8BACgAjAABAAAAAACLAAEA
       AgAAAB8AigABADsAAAADADUAAAAJAFRob3JuZGFsZQAAAAAAAKcBAAAAAAAAAAAIAAAAAAAA
       AP8DAAAAAAAAAAAA/wMAAAAAAIgAAQACAAAAAQCHAAEABQAAAP////8AhgABAAQAAAAAAAAA
       cgACABcAAABpAwAApwEAAAEAce0AAAAAAP//AQBxAIwAAQAAAAAAiwABAAIAAAAfAIoAAQA7
       AAAAAwA1AAAACQBUaG9ybmRhbGUAAAAAAAD9AAAAAAAAAAAABQAAAAAAAgD/AwAAAAAAAAAA
       AP8DAAAAAACIAAEAAgAAAAEAhwABAAUAAAD/////AIYAAQAEAAAAAAAAAHIAAgAXAAAAjAQA
       ABECAAABAFidAAAAAAD//wEAWACMAAEAAAAAAIsAAQACAAAAHwCKAAEAPAAAAAMANgAAAAoA
       T3BlblN5bWJvbAAA9wAAADUCAAD//wAAAAAFAAAAAAAAAP8DAAAAAAAAAAAA/wMAAAAAAIgA
       AQACAAAAAQCHAAEABQAAAP////8AhgABAAQAAAAAAAAAcgACABoAAABgBQAA3AEAAAEAAAAp
       AHcAAAAAAP//AQApAIwAAQAAAAAAiwABAAIAAAAfAIoAAQA8AAAAAwA2AAAACgBPcGVuU3lt
       Ym9sAAAAAAAApwEAAP//AAAAAAUAAAAAAAAA/wMAAAAAAAAAAAD/AwAAAAAAiAABAAIAAAAB
       AIcAAQAFAAAA/////wCGAAEABAAAAAAAAAByAAIAGgAAAOQFAACnAQAAAQAAAD0ATgEAAAAA
       //8BAD0AjAABAAAAAACLAAEAAgAAAB8AigABADsAAAADADUAAAAJAFRob3JuZGFsZQAAAAAA
       AKcBAAAAAAAAAAAIAAAAAAAAAP8DAAAAAAAAAAAA/wMAAAAAAIgAAQACAAAAAQCHAAEABQAA
       AP////8AhgABAAQAAAAAAAAAcgACABcAAAA8BwAApwEAAAEAce0AAAAAAP//AQBxAIwAAQAA
       AAAAiwABAAIAAAAfAIoAAQA7AAAAAwA1AAAACQBUaG9ybmRhbGUAAAAAAAD9AAAAAAAAAAAA
       BQAAAAAAAgD/AwAAAAAAAAAAAP8DAAAAAACIAAEAAgAAAAEAhwABAAUAAAD/////AIYAAQAE
       AAAAAAAAAHIAAgAXAAAARQgAABECAAABAFidAAAAAAD//wEAWACMAAEAAAAAAJUAAQAEAAAA
       AAAAAJYAAQACAAAACQCMAAEAAAAAAA==
      </office:binary-data>
     </draw:image>
    </draw:frame>= displacement from assembly frame to part frame.</text:p>
   <text:p text:style-name="P1"><draw:frame draw:style-name="fr1" draw:name="Object145" text:anchor-type="as-char" svg:width="1.5181in" svg:height="0.8283in" draw:z-index="5"><draw:object>
      <math xmlns="http://www.w3.org/1998/Math/MathML" display="block">
       <semantics>
        <mrow>
         <mrow>
          <mrow>
           <mo fence="true" form="prefix" stretchy="true">{</mo>
           <mrow>
            <mtable>
             <mtr>
              <mtd>
               <msub>
                <mstyle mathvariant="bold">
                 <mover accent="true">
                  <mi mathvariant="normal">i</mi>
                  <mo stretchy="false">⃗</mo>
                 </mover>
                </mstyle>
                <mi>a</mi>
               </msub>
              </mtd>
             </mtr>
             <mtr>
              <mtd>
               <msub>
                <mstyle mathvariant="bold">
                 <mover accent="true">
                  <mi mathvariant="normal">j</mi>
                  <mo stretchy="false">⃗</mo>
                 </mover>
                </mstyle>
                <mi>a</mi>
               </msub>
              </mtd>
             </mtr>
             <mtr>
              <mtd>
               <msub>
                <mstyle mathvariant="bold">
                 <mover accent="true">
                  <mi mathvariant="normal">k</mi>
                  <mo stretchy="false">⃗</mo>
                 </mover>
                </mstyle>
                <mi>a</mi>
               </msub>
              </mtd>
             </mtr>
            </mtable>
           </mrow>
           <mo fence="true" form="postfix" stretchy="true">}</mo>
          </mrow>
          <mo stretchy="false">=</mo>
          <msub>
           <mrow>
            <mo fence="true" form="prefix" stretchy="true">[</mo>
            <mrow>
             <mrow>
              <mstyle mathvariant="bold">
               <mi mathvariant="normal">A</mi>
              </mstyle>
              <mrow>
               <mo fence="true" form="prefix" stretchy="false">(</mo>
               <mrow>
                <msub>
                 <mstyle mathvariant="bold">
                  <mi mathvariant="normal">q</mi>
                 </mstyle>
                 <mi>A</mi>
                </msub>
               </mrow>
               <mo fence="true" form="postfix" stretchy="false">)</mo>
              </mrow>
             </mrow>
            </mrow>
            <mo fence="true" form="postfix" stretchy="true">]</mo>
           </mrow>
           <mi mathvariant="italic">ap</mi>
          </msub>
         </mrow>
         <mrow>
          <mo fence="true" form="prefix" stretchy="true">{</mo>
          <mrow>
           <mtable>
            <mtr>
             <mtd>
              <msub>
               <mstyle mathvariant="bold">
                <mover accent="true">
                 <mi mathvariant="normal">i</mi>
                 <mo stretchy="false">⃗</mo>
                </mover>
               </mstyle>
               <mi>p</mi>
              </msub>
             </mtd>
            </mtr>
            <mtr>
             <mtd>
              <msub>
               <mstyle mathvariant="bold">
                <mover accent="true">
                 <mi mathvariant="normal">j</mi>
                 <mo stretchy="false">⃗</mo>
                </mover>
               </mstyle>
               <mi>p</mi>
              </msub>
             </mtd>
            </mtr>
            <mtr>
             <mtd>
              <msub>
               <mstyle mathvariant="bold">
                <mover accent="true">
                 <mi mathvariant="normal">k</mi>
                 <mo stretchy="false">⃗</mo>
                </mover>
               </mstyle>
               <mi>p</mi>
              </msub>
             </mtd>
            </mtr>
           </mtable>
          </mrow>
          <mo fence="true" form="postfix" stretchy="true">}</mo>
         </mrow>
        </mrow>
        <annotation encoding="StarMath 5.0">left lbrace 
matrix{
{bold nitalic vec i}_a ## 
{bold nitalic vec j}_a ## 
{bold nitalic vec k}_a
} 
right rbrace 
=
left [{bold nitalic A}({bold nitalic q}_A) right]_ap 
left lbrace 
matrix{
{bold nitalic vec i}_p  ## 
{bold nitalic vec j}_p  ## 
{bold nitalic vec k}_p
} 
right rbrace</annotation>
       </semantics>
      </math>
     </draw:object><draw:image>
      <office:binary-data>VkNMTVRGAQAxAAAAAAAAAAEAGwAAAAAAAAAAAAAAAAABAAAAAQAAAAEAAAABAAAAAQ8PAAA4
       CAAA4QAAAJYAAQACAAAACQCLAAEAAgAAAP//gQABABAAAAAAAAAAAAAAAA4PAAA3CAAAlQAB
       AAQAAAAAAAAAlgABAAIAAAAJAIsAAQACAAAAHwCKAAEAPAAAAAMANgAAAAoAT3BlblN5bWJv
       bAAAsAEAAA8IAAD//wAAAAAFAAAAAAAAAP8DAAAAAAAAAAAA/wMAAAAAAIgAAQACAAAAAQCH
       AAEABQAAAP////8AhgABAAQAAAAAAAAAcgACABoAAABqAAAAgwYAAAEAAAB7AOkAAAAAAP//
       AQB7AIwAAQAAAAAAiwABAAIAAAAfAIoAAQA8AAAAAwA2AAAACgBPcGVuU3ltYm9sAAAAAAAA
       pwEAAP//AAAAAAgAAAAAAAAA/wMAAAAAAAAAAAD/AwAAAAAAiAABAAIAAAABAIcAAQAFAAAA
       /////wCGAAEABAAAAAAAAAByAAIAGgAAACMBAADcAQAAAQAAANcg3AAAAAAA//8BANcgjAAB
       AAAAAACLAAEAAgAAAB8AigABADsAAAADADUAAAAJAFRob3JuZGFsZQAAAAAAAKcBAAAAAAAA
       AAAIAAAAAAAAAP8DAAAAAAAAAAAA/wMAAAAAAIgAAQACAAAAAQCHAAEABQAAAP////8AhgAB
       AAQAAAAAAAAAcgACABcAAAByAQAARgIAAAEAaXcAAAAAAP//AQBpAIwAAQAAAAAAiwABAAIA
       AAAfAIoAAQA7AAAAAwA1AAAACQBUaG9ybmRhbGUAAAAAAAD9AAAAAAAAAAAABQAAAAAAAgD/
       AwAAAAAAAAAAAP8DAAAAAACIAAEAAgAAAAEAhwABAAUAAAD/////AIYAAQAEAAAAAAAAAHIA
       AgAXAAAALAIAALACAAABAGF/AAAAAAD//wEAYQCMAAEAAAAAAIsAAQACAAAAHwCKAAEAPAAA
       AAMANgAAAAoAT3BlblN5bWJvbAAAAAAAAKcBAAD//wAAAAAIAAAAAAAAAP8DAAAAAAAAAAAA
       /wMAAAAAAIgAAQACAAAAAQCHAAEABQAAAP////8AhgABAAQAAAAAAAAAcgACABoAAAAjAQAA
       VwQAAAEAAADXINwAAAAAAP//AQDXIIwAAQAAAAAAiwABAAIAAAAfAIoAAQA7AAAAAwA1AAAA
       CQBUaG9ybmRhbGUAAAAAAACnAQAAAAAAAAAACAAAAAAAAAD/AwAAAAAAAAAAAP8DAAAAAACI
       AAEAAgAAAAEAhwABAAUAAAD/////AIYAAQAEAAAAAAAAAHIAAgAXAAAAcgEAAMEEAAABAGqM
       AAAAAAD//wEAagCMAAEAAAAAAIsAAQACAAAAHwCKAAEAOwAAAAMANQAAAAkAVGhvcm5kYWxl
       AAAAAAAA/QAAAAAAAAAAAAUAAAAAAAIA/wMAAAAAAAAAAAD/AwAAAAAAiAABAAIAAAABAIcA
       AQAFAAAA/////wCGAAEABAAAAAAAAAByAAIAFwAAACwCAAArBQAAAQBhfwAAAAAA//8BAGEA
       jAABAAAAAACLAAEAAgAAAB8AigABADwAAAADADYAAAAKAE9wZW5TeW1ib2wAAAAAAACnAQAA
       //8AAAAACAAAAAAAAAD/AwAAAAAAAAAAAP8DAAAAAACIAAEAAgAAAAEAhwABAAUAAAD/////
       AIYAAQAEAAAAAAAAAHIAAgAaAAAAIwEAAO0GAAABAAAA1yDcAAAAAAD//wEA1yCMAAEAAAAA
       AIsAAQACAAAAHwCKAAEAOwAAAAMANQAAAAkAVGhvcm5kYWxlAAAAAAAApwEAAAAAAAAAAAgA
       AAAAAAAA/wMAAAAAAAAAAAD/AwAAAAAAiAABAAIAAAABAIcAAQAFAAAA/////wCGAAEABAAA
       AAAAAAByAAIAFwAAACMBAAA8BwAAAQBr7QAAAAAA//8BAGsAjAABAAAAAACLAAEAAgAAAB8A
       igABADsAAAADADUAAAAJAFRob3JuZGFsZQAAAAAAAP0AAAAAAAAAAAAFAAAAAAACAP8DAAAA
       AAAAAAAA/wMAAAAAAIgAAQACAAAAAQCHAAEABQAAAP////8AhgABAAQAAAAAAAAAcgACABcA
       AAAsAgAApgcAAAEAYX8AAAAAAP//AQBhAIwAAQAAAAAAiwABAAIAAAAfAIoAAQA8AAAAAwA2
       AAAACgBPcGVuU3ltYm9sAACwAQAADwgAAP//AAAAAAUAAAAAAAAA/wMAAAAAAAAAAAD/AwAA
       AAAAiAABAAIAAAABAIcAAQAFAAAA/////wCGAAEABAAAAAAAAAByAAIAGgAAAMoCAACDBgAA
       AQAAAH0A6QAAAAAA//8BAH0AjAABAAAAAACLAAEAAgAAAB8AigABADwAAAADADYAAAAKAE9w
       ZW5TeW1ib2wAAAAAAACnAQAA//8AAAAABQAAAAAAAAD/AwAAAAAAAAAAAP8DAAAAAACIAAEA
       AgAAAAEAhwABAAUAAAD/////AIYAAQAEAAAAAAAAAHIAAgAaAAAAhAMAAIwEAAABAAAAPQBO
       AQAAAAD//wEAPQCMAAEAAAAAAIsAAQACAAAAHwCKAAEAPAAAAAMANgAAAAoAT3BlblN5bWJv
       bAAA9wAAADsCAAD//wAAAAAFAAAAAAAAAP8DAAAAAAAAAAAA/wMAAAAAAIgAAQACAAAAAQCH
       AAEABQAAAP////8AhgABAAQAAAAAAAAAcgACABoAAADBBAAAwQQAAAEAAABbAGEAAAAAAP//
       AQBbAIwAAQAAAAAAiwABAAIAAAAfAIoAAQA7AAAAAwA1AAAACQBUaG9ybmRhbGUAAAAAAACn
       AQAAAAAAAAAACAAAAAAAAAD/AwAAAAAAAAAAAP8DAAAAAACIAAEAAgAAAAEAhwABAAUAAAD/
       ////AIYAAQAEAAAAAAAAAHIAAgAXAAAAYAUAAIwEAAABAEExAQAAAAD//wEAQQCMAAEAAAAA
       AIsAAQACAAAAHwCKAAEAPAAAAAMANgAAAAoAT3BlblN5bWJvbAAAAAAAAKcBAAD//wAAAAAF
       AAAAAAAAAP8DAAAAAAAAAAAA/wMAAAAAAIgAAQACAAAAAQCHAAEABQAAAP////8AhgABAAQA
       AAAAAAAAcgACABoAAAC4BgAAjAQAAAEAAAAoAJAAAAAAAP//AQAoAIwAAQAAAAAAiwABAAIA
       AAAfAIoAAQA7AAAAAwA1AAAACQBUaG9ybmRhbGUAAAAAAACnAQAAAAAAAAAACAAAAAAAAAD/
       AwAAAAAAAAAAAP8DAAAAAACIAAEAAgAAAAEAhwABAAUAAAD/////AIYAAQAEAAAAAAAAAHIA
       AgAXAAAAVwcAAIwEAAABAHHtAAAAAAD//wEAcQCMAAEAAAAAAIsAAQACAAAAHwCKAAEAOwAA
       AAMANQAAAAkAVGhvcm5kYWxlAAAAAAAA/QAAAAAAAAAAAAUAAAAAAAIA/wMAAAAAAAAAAAD/
       AwAAAAAAiAABAAIAAAABAIcAAQAFAAAA/////wCGAAEABAAAAAAAAAByAAIAFwAAAF8IAAD2
       BAAAAQBBnQAAAAAA//8BAEEAjAABAAAAAACLAAEAAgAAAB8AigABADwAAAADADYAAAAKAE9w
       ZW5TeW1ib2wAAAAAAACnAQAA//8AAAAABQAAAAAAAAD/AwAAAAAAAAAAAP8DAAAAAACIAAEA
       AgAAAAEAhwABAAUAAAD/////AIYAAQAEAAAAAAAAAHIAAgAaAAAAGAkAAIwEAAABAAAAKQCQ
       AAAAAAD//wEAKQCMAAEAAAAAAIsAAQACAAAAHwCKAAEAPAAAAAMANgAAAAoAT3BlblN5bWJv
       bAAA9wAAADsCAAD//wAAAAAFAAAAAAAAAP8DAAAAAAAAAAAA/wMAAAAAAIgAAQACAAAAAQCH
       AAEABQAAAP////8AhgABAAQAAAAAAAAAcgACABoAAAC3CQAAwQQAAAEAAABdAGEAAAAAAP//
       AQBdAIwAAQAAAAAAiwABAAIAAAAfAIoAAQA7AAAAAwA1AAAACQBUaG9ybmRhbGUAAAAAAAD9
       AAAAAAAAAAAABQAAAAAAAgD/AwAAAAAAAAAAAP8DAAAAAACIAAEAAgAAAAEAhwABAAUAAAD/
       ////AIYAAQAEAAAAAAAAAHIAAgAaAAAAIQoAACsFAAACAGFw/gAAAAAA//8CAGEAcACMAAEA
       AAAAAIsAAQACAAAAHwCKAAEAPAAAAAMANgAAAAoAT3BlblN5bWJvbAAAsAEAAA8IAAD//wAA
       AAAFAAAAAAAAAP8DAAAAAAAAAAAA/wMAAAAAAIgAAQACAAAAAQCHAAEABQAAAP////8AhgAB
       AAQAAAAAAAAAcgACABoAAABECwAAgwYAAAEAAAB7AOkAAAAAAP//AQB7AIwAAQAAAAAAiwAB
       AAIAAAAfAIoAAQA8AAAAAwA2AAAACgBPcGVuU3ltYm9sAAAAAAAApwEAAP//AAAAAAgAAAAA
       AAAA/wMAAAAAAAAAAAD/AwAAAAAAiAABAAIAAAABAIcAAQAFAAAA/////wCGAAEABAAAAAAA
       AAByAAIAGgAAAP0LAADcAQAAAQAAANcg3AAAAAAA//8BANcgjAABAAAAAACLAAEAAgAAAB8A
       igABADsAAAADADUAAAAJAFRob3JuZGFsZQAAAAAAAKcBAAAAAAAAAAAIAAAAAAAAAP8DAAAA
       AAAAAAAA/wMAAAAAAIgAAQACAAAAAQCHAAEABQAAAP////8AhgABAAQAAAAAAAAAcgACABcA
       AABNDAAARgIAAAEAaXcAAAAAAP//AQBpAIwAAQAAAAAAiwABAAIAAAAfAIoAAQA7AAAAAwA1
       AAAACQBUaG9ybmRhbGUAAAAAAAD9AAAAAAAAAAAABQAAAAAAAgD/AwAAAAAAAAAAAP8DAAAA
       AACIAAEAAgAAAAEAhwABAAUAAAD/////AIYAAQAEAAAAAAAAAHIAAgAXAAAAIA0AALACAAAB
       AHB/AAAAAAD//wEAcACMAAEAAAAAAIsAAQACAAAAHwCKAAEAPAAAAAMANgAAAAoAT3BlblN5
       bWJvbAAAAAAAAKcBAAD//wAAAAAIAAAAAAAAAP8DAAAAAAAAAAAA/wMAAAAAAIgAAQACAAAA
       AQCHAAEABQAAAP////8AhgABAAQAAAAAAAAAcgACABoAAAD9CwAAVwQAAAEAAADXINwAAAAA
       AP//AQDXIIwAAQAAAAAAiwABAAIAAAAfAIoAAQA7AAAAAwA1AAAACQBUaG9ybmRhbGUAAAAA
       AACnAQAAAAAAAAAACAAAAAAAAAD/AwAAAAAAAAAAAP8DAAAAAACIAAEAAgAAAAEAhwABAAUA
       AAD/////AIYAAQAEAAAAAAAAAHIAAgAXAAAATQwAAMEEAAABAGqMAAAAAAD//wEAagCMAAEA
       AAAAAIsAAQACAAAAHwCKAAEAOwAAAAMANQAAAAkAVGhvcm5kYWxlAAAAAAAA/QAAAAAAAAAA
       AAUAAAAAAAIA/wMAAAAAAAAAAAD/AwAAAAAAiAABAAIAAAABAIcAAQAFAAAA/////wCGAAEA
       BAAAAAAAAAByAAIAFwAAACANAAArBQAAAQBwfwAAAAAA//8BAHAAjAABAAAAAACLAAEAAgAA
       AB8AigABADwAAAADADYAAAAKAE9wZW5TeW1ib2wAAAAAAACnAQAA//8AAAAACAAAAAAAAAD/
       AwAAAAAAAAAAAP8DAAAAAACIAAEAAgAAAAEAhwABAAUAAAD/////AIYAAQAEAAAAAAAAAHIA
       AgAaAAAA/QsAAO0GAAABAAAA1yDcAAAAAAD//wEA1yCMAAEAAAAAAIsAAQACAAAAHwCKAAEA
       OwAAAAMANQAAAAkAVGhvcm5kYWxlAAAAAAAApwEAAAAAAAAAAAgAAAAAAAAA/wMAAAAAAAAA
       AAD/AwAAAAAAiAABAAIAAAABAIcAAQAFAAAA/////wCGAAEABAAAAAAAAAByAAIAFwAAAP0L
       AAA8BwAAAQBr7QAAAAAA//8BAGsAjAABAAAAAACLAAEAAgAAAB8AigABADsAAAADADUAAAAJ
       AFRob3JuZGFsZQAAAAAAAP0AAAAAAAAAAAAFAAAAAAACAP8DAAAAAAAAAAAA/wMAAAAAAIgA
       AQACAAAAAQCHAAEABQAAAP////8AhgABAAQAAAAAAAAAcgACABcAAAA7DQAApgcAAAEAcH8A
       AAAAAP//AQBwAIwAAQAAAAAAiwABAAIAAAAfAIoAAQA8AAAAAwA2AAAACgBPcGVuU3ltYm9s
       AACwAQAADwgAAP//AAAAAAUAAAAAAAAA/wMAAAAAAAAAAAD/AwAAAAAAiAABAAIAAAABAIcA
       AQAFAAAA/////wCGAAEABAAAAAAAAAByAAIAGgAAAL8NAACDBgAAAQAAAH0A6QAAAAAA//8B
       AH0AjAABAAAAAACVAAEABAAAAAAAAACWAAEAAgAAAAkAjAABAAAAAAA=
      </office:binary-data>
     </draw:image>
    </draw:frame></text:p>
   <text:h text:style-name="Heading_20_2" text:outline-level="2">Kinetic Energy within Control Volume</text:h>
   <text:p text:style-name="equation"><draw:frame draw:style-name="fr1" draw:name="Object104" text:anchor-type="as-char" svg:width="1.7047in" svg:height="0.4319in" draw:z-index="6"><draw:object>
      <math xmlns="http://www.w3.org/1998/Math/MathML" display="block">
       <semantics>
        <mrow>
         <mrow>
          <msub>
           <mi>T</mi>
           <mi>p</mi>
          </msub>
          <mo stretchy="false">=</mo>
          <mrow>
           <munder>
            <mo stretchy="false">∫</mo>
            <mi mathvariant="italic">CV</mi>
           </munder>
           <mfrac>
            <mn>1</mn>
            <mn>2</mn>
           </mfrac>
          </mrow>
         </mrow>
         <mi mathvariant="normal">ρ</mi>
         <msubsup>
          <mstyle mathvariant="bold">
           <mi mathvariant="normal">v</mi>
          </mstyle>
          <mi mathvariant="italic">OmO</mi>
          <mi>T</mi>
         </msubsup>
         <msub>
          <mstyle mathvariant="bold">
           <mi mathvariant="normal">v</mi>
          </mstyle>
          <mi mathvariant="italic">OmO</mi>
         </msub>
         <mi mathvariant="italic">dV</mi>
        </mrow>
        <annotation encoding="StarMath 5.0">T_p
=int from CV
{1 over 2}%rho 
{bold nitalic v}^T_OmO 
{bold nitalic v}_OmO  
dV</annotation>
       </semantics>
      </math>
     </draw:object><draw:image>
      <office:binary-data>VkNMTVRGAQAxAAAAAAAAAAEAGwAAAAAAAAAAAAAAAAABAAAAAQAAAAEAAAABAAAAAeoQAABK
       BAAAcwAAAJYAAQACAAAACQCLAAEAAgAAAP//gQABABAAAAAAAAAAAAAAAOkQAABJBAAAlQAB
       AAQAAAAAAAAAlgABAAIAAAAJAIsAAQACAAAAHwCKAAEAOwAAAAMANQAAAAkAVGhvcm5kYWxl
       AAAAAAAApwEAAAAAAAAAAAUAAAAAAAIA/wMAAAAAAAAAAAD/AwAAAAAAiAABAAIAAAABAIcA
       AQAFAAAA/////wCGAAEABAAAAAAAAAByAAIAFwAAAGoAAAB7AgAAAQBU7QAAAAAA//8BAFQA
       jAABAAAAAACLAAEAAgAAAB8AigABADsAAAADADUAAAAJAFRob3JuZGFsZQAAAAAAAP0AAAAA
       AAAAAAAFAAAAAAACAP8DAAAAAAAAAAAA/wMAAAAAAIgAAQACAAAAAQCHAAEABQAAAP////8A
       hgABAAQAAAAAAAAAcgACABcAAACnAQAA5QIAAAEAcH8AAAAAAP//AQBwAIwAAQAAAAAAiwAB
       AAIAAAAfAIoAAQA8AAAAAwA2AAAACgBPcGVuU3ltYm9sAAAAAAAApwEAAP//AAAAAAUAAAAA
       AAAA/wMAAAAAAAAAAAD/AwAAAAAAiAABAAIAAAABAIcAAQAFAAAA/////wCGAAEABAAAAAAA
       AAByAAIAGgAAAEYCAAB7AgAAAQAAAD0ATgEAAAAA//8BAD0AjAABAAAAAACLAAEAAgAAAB8A
       igABADwAAAADADYAAAAKAE9wZW5TeW1ib2wAAAAAAABoAgAA//8AAAAABQAAAAAAAAD/AwAA
       AAAAAAAAAP8DAAAAAACIAAEAAgAAAAEAhwABAAUAAAD/////AIYAAQAEAAAAAAAAAHIAAgAa
       AAAAngMAALACAAABAAAAKyIPAQAAAAD//wEAKyKMAAEAAAAAAIsAAQACAAAAHwCKAAEAOwAA
       AAMANQAAAAkAVGhvcm5kYWxlAAAAAAAA/QAAAAAAAAAAAAUAAAAAAAIA/wMAAAAAAAAAAAD/
       AwAAAAAAiAABAAIAAAABAIcAAQAFAAAA/////wCGAAEABAAAAAAAAAByAAIAGgAAAJ4DAAAI
       BAAAAgBDVkYBAAAAAP//AgBDAFYAjAABAAAAAACLAAEAAgAAAB8AigABADsAAAADADUAAAAJ
       AFRob3JuZGFsZQAAAAAAAKcBAAAAAAAAAAAFAAAAAAAAAP8DAAAAAAAAAAAA/wMAAAAAAIgA
       AQACAAAAAQCHAAEABQAAAP////8AhgABAAQAAAAAAAAAcgACABcAAACVBQAAcgEAAAEAMdQA
       AAAAAP//AQAxAIwAAQAAAAAAiwABAAIAAAAfAIUAAQAFAAAAAAAAAAGEAAEABQAAAAAAAAAA
       igABADwAAAADADYAAAAKAE9wZW5TeW1ib2wAAAAAAACnAQAA//8AAAAABQAAAAAAAAD/AwAA
       AAAAAAAAAP8DAAAAAACIAAEAAgAAAAEAhwABAAUAAAD/////AIYAAQAEAAAAAAAAAGcAAQAQ
       AAAAYAUAAPcBAABsBgAACwIAAIwAAQAAAAAAiwABAAIAAAAfAIoAAQA7AAAAAwA1AAAACQBU
       aG9ybmRhbGUAAAAAAACnAQAAAAAAAAAABQAAAAAAAAD/AwAAAAAAAAAAAP8DAAAAAACIAAEA
       AgAAAAEAhwABAAUAAAD/////AIYAAQAEAAAAAAAAAHIAAgAXAAAAlQUAAJ4DAAABADLUAAAA
       AAD//wEAMgCMAAEAAAAAAIsAAQACAAAAHwCKAAEAPAAAAAMANgAAAAoAT3BlblN5bWJvbAAA
       AAAAAKcBAAD//wAAAAAFAAAAAAAAAP8DAAAAAAAAAAAA/wMAAAAAAIgAAQACAAAAAQCHAAEA
       BQAAAP////8AhgABAAQAAAAAAAAAcgACABoAAAC4BgAAewIAAAEAAADBA+kAAAAAAP//AQDB
       A4wAAQAAAAAAiwABAAIAAAAfAIoAAQA7AAAAAwA1AAAACQBUaG9ybmRhbGUAAAAAAACnAQAA
       AAAAAAAACAAAAAAAAAD/AwAAAAAAAAAAAP8DAAAAAACIAAEAAgAAAAEAhwABAAUAAAD/////
       AIYAAQAEAAAAAAAAAHIAAgAXAAAA2wcAAHsCAAABAHbUAAAAAAD//wEAdgCMAAEAAAAAAIsA
       AQACAAAAHwCKAAEAOwAAAAMANQAAAAkAVGhvcm5kYWxlAAAAAAAA/QAAAAAAAAAAAAUAAAAA
       AAIA/wMAAAAAAAAAAAD/AwAAAAAAiAABAAIAAAABAIcAAQAFAAAA/////wCGAAEABAAAAAAA
       AAByAAIAHQAAAK8IAADlAgAAAwBPbU8iAgAAAAD//wMATwBtAE8AjAABAAAAAACLAAEAAgAA
       AB8AigABADsAAAADADUAAAAJAFRob3JuZGFsZQAAAAAAAP0AAAAAAAAAAAAFAAAAAAACAP8D
       AAAAAAAAAAAA/wMAAAAAAIgAAQACAAAAAQCHAAEABQAAAP////8AhgABAAQAAAAAAAAAcgAC
       ABcAAACvCAAApwEAAAEAVIwAAAAAAP//AQBUAIwAAQAAAAAAiwABAAIAAAAfAIoAAQA7AAAA
       AwA1AAAACQBUaG9ybmRhbGUAAAAAAACnAQAAAAAAAAAACAAAAAAAAAD/AwAAAAAAAAAAAP8D
       AAAAAACIAAEAAgAAAAEAhwABAAUAAAD/////AIYAAQAEAAAAAAAAAHIAAgAXAAAAKgsAAHsC
       AAABAHbUAAAAAAD//wEAdgCMAAEAAAAAAIsAAQACAAAAHwCKAAEAOwAAAAMANQAAAAkAVGhv
       cm5kYWxlAAAAAAAA/QAAAAAAAAAAAAUAAAAAAAIA/wMAAAAAAAAAAAD/AwAAAAAAiAABAAIA
       AAABAIcAAQAFAAAA/////wCGAAEABAAAAAAAAAByAAIAHQAAAP0LAADlAgAAAwBPbU8iAgAA
       AAD//wMATwBtAE8AjAABAAAAAACLAAEAAgAAAB8AigABADsAAAADADUAAAAJAFRob3JuZGFs
       ZQAAAAAAAKcBAAAAAAAAAAAFAAAAAAACAP8DAAAAAAAAAAAA/wMAAAAAAIgAAQACAAAAAQCH
       AAEABQAAAP////8AhgABAAQAAAAAAAAAcgACABoAAAB4DgAAewIAAAIAZFbWAQAAAAD//wIA
       ZABWAIwAAQAAAAAAlQABAAQAAAAAAAAAlgABAAIAAAAJAIwAAQAAAAAA
      </office:binary-data>
     </draw:image>
    </draw:frame></text:p>
   <text:p text:style-name="P2"><draw:frame draw:style-name="fr1" draw:name="Object112" text:anchor-type="as-char" svg:width="2.4346in" svg:height="0.25in" draw:z-index="7"><draw:object>
      <math xmlns="http://www.w3.org/1998/Math/MathML" display="block">
       <semantics>
        <mrow>
         <mtext/>
         <mrow>
          <msub>
           <mstyle mathvariant="bold">
            <mi mathvariant="normal">r</mi>
           </mstyle>
           <mi mathvariant="italic">OmO</mi>
          </msub>
          <mo stretchy="false">=</mo>
          <mrow>
           <msub>
            <mstyle mathvariant="bold">
             <mi mathvariant="normal">r</mi>
            </mstyle>
            <mi mathvariant="italic">OaO</mi>
           </msub>
           <mo stretchy="false">+</mo>
           <msub>
            <mrow>
             <mo fence="true" form="prefix" stretchy="true">[</mo>
             <mrow>
              <mstyle mathvariant="bold">
               <mi mathvariant="normal">A</mi>
              </mstyle>
             </mrow>
             <mo fence="true" form="postfix" stretchy="true">]</mo>
            </mrow>
            <mi mathvariant="italic">Oa</mi>
           </msub>
          </mrow>
         </mrow>
         <mrow>
          <mo fence="true" form="prefix" stretchy="true">{</mo>
          <mrow>
           <mrow>
            <mrow>
             <msub>
              <mstyle mathvariant="bold">
               <mi mathvariant="normal">r</mi>
              </mstyle>
              <mi mathvariant="italic">apa</mi>
             </msub>
             <mo stretchy="false">+</mo>
             <msub>
              <mrow>
               <mo fence="true" form="prefix" stretchy="true">[</mo>
               <mrow>
                <mstyle mathvariant="bold">
                 <mi mathvariant="normal">A</mi>
                </mstyle>
               </mrow>
               <mo fence="true" form="postfix" stretchy="true">]</mo>
              </mrow>
              <mi mathvariant="italic">ap</mi>
             </msub>
            </mrow>
            <msub>
             <mstyle mathvariant="bold">
              <mi mathvariant="normal">r</mi>
             </mstyle>
             <mi mathvariant="italic">pmp</mi>
            </msub>
           </mrow>
          </mrow>
          <mo fence="true" form="postfix" stretchy="true">}</mo>
         </mrow>
        </mrow>
        <annotation encoding="StarMath 5.0">&quot;&quot;
{bold nitalic r}_OmO
={bold nitalic r}_OaO
+
left[{bold nitalic A} right]_Oa
left lbrace
{bold nitalic r}_apa
+
left[{bold nitalic A} right]_ap
{bold nitalic r}_pmp
right rbrace
</annotation>
       </semantics>
      </math>
     </draw:object><draw:image>
      <office:binary-data>VkNMTVRGAQAxAAAAAAAAAAEAGwAAAAAAAAAAAAAAAAABAAAAAQAAAAEAAAABAAAAASgYAAB7
       AgAAmwAAAJYAAQACAAAACQCLAAEAAgAAAP//gQABABAAAAAAAAAAAAAAACcYAAB6AgAAlQAB
       AAQAAAAAAAAAlgABAAIAAAAJAIsAAQACAAAAHwCKAAEAOwAAAAMANQAAAAkAVGhvcm5kYWxl
       AAAAAAAApwEAAAAAAAAAAAgAAAAAAAAA/wMAAAAAAAAAAAD/AwAAAAAAiAABAAIAAAABAIcA
       AQAFAAAA/////wCGAAEABAAAAAAAAAByAAIAFwAAAJ8AAADCAQAAAQByugAAAAAA//8BAHIA
       jAABAAAAAACLAAEAAgAAAB8AigABADsAAAADADUAAAAJAFRob3JuZGFsZQAAAAAAAP0AAAAA
       AAAAAAAFAAAAAAACAP8DAAAAAAAAAAAA/wMAAAAAAIgAAQACAAAAAQCHAAEABQAAAP////8A
       hgABAAQAAAAAAAAAcgACAB0AAAByAQAALAIAAAMAT21PIgIAAAAA//8DAE8AbQBPAIwAAQAA
       AAAAiwABAAIAAAAfAIoAAQA8AAAAAwA2AAAACgBPcGVuU3ltYm9sAAAAAAAApwEAAP//AAAA
       AAUAAAAAAAAA/wMAAAAAAAAAAAD/AwAAAAAAiAABAAIAAAABAIcAAQAFAAAA/////wCGAAEA
       BAAAAAAAAAByAAIAGgAAAJ4DAADCAQAAAQAAAD0ATgEAAAAA//8BAD0AjAABAAAAAACLAAEA
       AgAAAB8AigABADsAAAADADUAAAAJAFRob3JuZGFsZQAAAAAAAKcBAAAAAAAAAAAIAAAAAAAA
       AP8DAAAAAAAAAAAA/wMAAAAAAIgAAQACAAAAAQCHAAEABQAAAP////8AhgABAAQAAAAAAAAA
       cgACABcAAAD2BAAAwgEAAAEAcroAAAAAAP//AQByAIwAAQAAAAAAiwABAAIAAAAfAIoAAQA7
       AAAAAwA1AAAACQBUaG9ybmRhbGUAAAAAAAD9AAAAAAAAAAAABQAAAAAAAgD/AwAAAAAAAAAA
       AP8DAAAAAACIAAEAAgAAAAEAhwABAAUAAAD/////AIYAAQAEAAAAAAAAAHIAAgAdAAAAygUA
       ACwCAAADAE9hT+sBAAAAAP//AwBPAGEATwCMAAEAAAAAAIsAAQACAAAAHwCKAAEAPAAAAAMA
       NgAAAAoAT3BlblN5bWJvbAAAAAAAAKcBAAD//wAAAAAFAAAAAAAAAP8DAAAAAAAAAAAA/wMA
       AAAAAIgAAQACAAAAAQCHAAEABQAAAP////8AhgABAAQAAAAAAAAAcgACABoAAADABwAAwgEA
       AAEAAAArAFMBAAAAAP//AQArAIwAAQAAAAAAiwABAAIAAAAfAIoAAQA8AAAAAwA2AAAACgBP
       cGVuU3ltYm9sAADYAAAA8gEAAP//AAAAAAUAAAAAAAAA/wMAAAAAAAAAAAD/AwAAAAAAiAAB
       AAIAAAABAIcAAQAFAAAA/////wCGAAEABAAAAAAAAAByAAIAGgAAABgJAADCAQAAAQAAAFsA
       VQAAAAAA//8BAFsAjAABAAAAAACLAAEAAgAAAB8AigABADsAAAADADUAAAAJAFRob3JuZGFs
       ZQAAAAAAAKcBAAAAAAAAAAAIAAAAAAAAAP8DAAAAAAAAAAAA/wMAAAAAAIgAAQACAAAAAQCH
       AAEABQAAAP////8AhgABAAQAAAAAAAAAcgACABcAAACdCQAAwgEAAAEAQTEBAAAAAP//AQBB
       AIwAAQAAAAAAiwABAAIAAAAfAIoAAQA8AAAAAwA2AAAACgBPcGVuU3ltYm9sAADYAAAA8QEA
       AP//AAAAAAUAAAAAAAAA/wMAAAAAAAAAAAD/AwAAAAAAiAABAAIAAAABAIcAAQAFAAAA////
       /wCGAAEABAAAAAAAAAByAAIAGgAAAA8LAADCAQAAAQAAAF0AVQAAAAAA//8BAF0AjAABAAAA
       AACLAAEAAgAAAB8AigABADsAAAADADUAAAAJAFRob3JuZGFsZQAAAAAAAP0AAAAAAAAAAAAF
       AAAAAAACAP8DAAAAAAAAAAAA/wMAAAAAAIgAAQACAAAAAQCHAAEABQAAAP////8AhgABAAQA
       AAAAAAAAcgACABoAAABeCwAAEQIAAAIAT2E1AQAAAAD//wIATwBhAIwAAQAAAAAAiwABAAIA
       AAAfAIoAAQA8AAAAAwA2AAAACgBPcGVuU3ltYm9sAAACAQAAUAIAAP//AAAAAAUAAAAAAAAA
       /wMAAAAAAAAAAAD/AwAAAAAAiAABAAIAAAABAIcAAQAFAAAA/////wCGAAEABAAAAAAAAABy
       AAIAGgAAANEMAAD3AQAAAQAAAHsAjAAAAAAA//8BAHsAjAABAAAAAACLAAEAAgAAAB8AigAB
       ADsAAAADADUAAAAJAFRob3JuZGFsZQAAAAAAAKcBAAAAAAAAAAAIAAAAAAAAAP8DAAAAAAAA
       AAAA/wMAAAAAAIgAAQACAAAAAQCHAAEABQAAAP////8AhgABAAQAAAAAAAAAcgACABcAAABV
       DQAAwgEAAAEAcroAAAAAAP//AQByAIwAAQAAAAAAiwABAAIAAAAfAIoAAQA7AAAAAwA1AAAA
       CQBUaG9ybmRhbGUAAAAAAAD9AAAAAAAAAAAABQAAAAAAAgD/AwAAAAAAAAAAAP8DAAAAAACI
       AAEAAgAAAAEAhwABAAUAAAD/////AIYAAQAEAAAAAAAAAHIAAgAdAAAAKQ4AACwCAAADAGFw
       YX0BAAAAAP//AwBhAHAAYQCMAAEAAAAAAIsAAQACAAAAHwCKAAEAPAAAAAMANgAAAAoAT3Bl
       blN5bWJvbAAAAAAAAKcBAAD//wAAAAAFAAAAAAAAAP8DAAAAAAAAAAAA/wMAAAAAAIgAAQAC
       AAAAAQCHAAEABQAAAP////8AhgABAAQAAAAAAAAAcgACABoAAAC2DwAAwgEAAAEAAAArAFMB
       AAAAAP//AQArAIwAAQAAAAAAiwABAAIAAAAfAIoAAQA8AAAAAwA2AAAACgBPcGVuU3ltYm9s
       AADYAAAA8gEAAP//AAAAAAUAAAAAAAAA/wMAAAAAAAAAAAD/AwAAAAAAiAABAAIAAAABAIcA
       AQAFAAAA/////wCGAAEABAAAAAAAAAByAAIAGgAAAA4RAADCAQAAAQAAAFsAVQAAAAAA//8B
       AFsAjAABAAAAAACLAAEAAgAAAB8AigABADsAAAADADUAAAAJAFRob3JuZGFsZQAAAAAAAKcB
       AAAAAAAAAAAIAAAAAAAAAP8DAAAAAAAAAAAA/wMAAAAAAIgAAQACAAAAAQCHAAEABQAAAP//
       //8AhgABAAQAAAAAAAAAcgACABcAAACSEQAAwgEAAAEAQTEBAAAAAP//AQBBAIwAAQAAAAAA
       iwABAAIAAAAfAIoAAQA8AAAAAwA2AAAACgBPcGVuU3ltYm9sAADYAAAA8QEAAP//AAAAAAUA
       AAAAAAAA/wMAAAAAAAAAAAD/AwAAAAAAiAABAAIAAAABAIcAAQAFAAAA/////wCGAAEABAAA
       AAAAAAByAAIAGgAAAOoSAADCAQAAAQAAAF0AVQAAAAAA//8BAF0AjAABAAAAAACLAAEAAgAA
       AB8AigABADsAAAADADUAAAAJAFRob3JuZGFsZQAAAAAAAP0AAAAAAAAAAAAFAAAAAAACAP8D
       AAAAAAAAAAAA/wMAAAAAAIgAAQACAAAAAQCHAAEABQAAAP////8AhgABAAQAAAAAAAAAcgAC
       ABoAAAA5EwAAEQIAAAIAYXD+AAAAAAD//wIAYQBwAIwAAQAAAAAAiwABAAIAAAAfAIoAAQA7
       AAAAAwA1AAAACQBUaG9ybmRhbGUAAAAAAACnAQAAAAAAAAAACAAAAAAAAAD/AwAAAAAAAAAA
       AP8DAAAAAACIAAEAAgAAAAEAhwABAAUAAAD/////AIYAAQAEAAAAAAAAAHIAAgAXAAAAdxQA
       AMIBAAABAHK6AAAAAAD//wEAcgCMAAEAAAAAAIsAAQACAAAAHwCKAAEAOwAAAAMANQAAAAkA
       VGhvcm5kYWxlAAAAAAAA/QAAAAAAAAAAAAUAAAAAAAIA/wMAAAAAAAAAAAD/AwAAAAAAiAAB
       AAIAAAABAIcAAQAFAAAA/////wCGAAEABAAAAAAAAAByAAIAHQAAAGUVAAAsAgAAAwBwbXC0
       AQAAAAD//wMAcABtAHAAjAABAAAAAACLAAEAAgAAAB8AigABADwAAAADADYAAAAKAE9wZW5T
       eW1ib2wAAAIBAABQAgAA//8AAAAABQAAAAAAAAD/AwAAAAAAAAAAAP8DAAAAAACIAAEAAgAA
       AAEAhwABAAUAAAD/////AIYAAQAEAAAAAAAAAHIAAgAaAAAAQRcAAPcBAAABAAAAfQCMAAAA
       AAD//wEAfQCMAAEAAAAAAJUAAQAEAAAAAAAAAJYAAQACAAAACQCMAAEAAAAAAA==
      </office:binary-data>
     </draw:image>
    </draw:frame></text:p>
   <text:p text:style-name="P2"><draw:frame draw:style-name="fr1" draw:name="Object5" text:anchor-type="as-char" svg:width="4.8598in" svg:height="0.2543in" draw:z-index="8"><draw:object>
      <math xmlns="http://www.w3.org/1998/Math/MathML" display="block">
       <semantics>
        <mrow>
         <mtext/>
         <mrow>
          <msub>
           <mstyle mathvariant="bold">
            <mi mathvariant="normal">v</mi>
           </mstyle>
           <mi mathvariant="italic">OmO</mi>
          </msub>
          <mo stretchy="false">=</mo>
          <mrow>
           <msub>
            <mstyle mathvariant="bold">
             <mi mathvariant="normal">v</mi>
            </mstyle>
            <mi mathvariant="italic">OaO</mi>
           </msub>
           <mo stretchy="false">+</mo>
           <msub>
            <mrow>
             <mo fence="true" form="prefix" stretchy="true">[</mo>
             <mrow>
              <mstyle mathvariant="bold">
               <mover accent="true">
                <mi mathvariant="normal">A</mi>
                <mo stretchy="false">˙</mo>
               </mover>
              </mstyle>
             </mrow>
             <mo fence="true" form="postfix" stretchy="true">]</mo>
            </mrow>
            <mi mathvariant="italic">Oa</mi>
           </msub>
          </mrow>
         </mrow>
         <mrow>
          <mrow>
           <mo fence="true" form="prefix" stretchy="true">{</mo>
           <mrow>
            <mrow>
             <mrow>
              <msub>
               <mstyle mathvariant="bold">
                <mi mathvariant="normal">r</mi>
               </mstyle>
               <mi mathvariant="italic">apa</mi>
              </msub>
              <mo stretchy="false">+</mo>
              <msub>
               <mrow>
                <mo fence="true" form="prefix" stretchy="true">[</mo>
                <mrow>
                 <mstyle mathvariant="bold">
                  <mi mathvariant="normal">A</mi>
                 </mstyle>
                </mrow>
                <mo fence="true" form="postfix" stretchy="true">]</mo>
               </mrow>
               <mi mathvariant="italic">ap</mi>
              </msub>
             </mrow>
             <msub>
              <mstyle mathvariant="bold">
               <mi mathvariant="normal">r</mi>
              </mstyle>
              <mi mathvariant="italic">pmp</mi>
             </msub>
            </mrow>
           </mrow>
           <mo fence="true" form="postfix" stretchy="true">}</mo>
          </mrow>
          <mo stretchy="false">+</mo>
          <msub>
           <mrow>
            <mo fence="true" form="prefix" stretchy="true">[</mo>
            <mrow>
             <mstyle mathvariant="bold">
              <mi mathvariant="normal">A</mi>
             </mstyle>
            </mrow>
            <mo fence="true" form="postfix" stretchy="true">]</mo>
           </mrow>
           <mi mathvariant="italic">Oa</mi>
          </msub>
         </mrow>
         <mrow>
          <mo fence="true" form="prefix" stretchy="true">{</mo>
          <mrow>
           <mrow>
            <mrow>
             <msub>
              <mstyle mathvariant="bold">
               <mi mathvariant="normal">v</mi>
              </mstyle>
              <mi mathvariant="italic">apa</mi>
             </msub>
             <mo stretchy="false">+</mo>
             <msub>
              <mrow>
               <mo fence="true" form="prefix" stretchy="true">[</mo>
               <mrow>
                <mstyle mathvariant="bold">
                 <mover accent="true">
                  <mi mathvariant="normal">A</mi>
                  <mo stretchy="false">˙</mo>
                 </mover>
                </mstyle>
               </mrow>
               <mo fence="true" form="postfix" stretchy="true">]</mo>
              </mrow>
              <mi mathvariant="italic">ap</mi>
             </msub>
            </mrow>
            <mrow>
             <msub>
              <mstyle mathvariant="bold">
               <mi mathvariant="normal">r</mi>
              </mstyle>
              <mi mathvariant="italic">pmp</mi>
             </msub>
             <mo stretchy="false">+</mo>
             <msub>
              <mrow>
               <mo fence="true" form="prefix" stretchy="true">[</mo>
               <mrow>
                <mstyle mathvariant="bold">
                 <mi mathvariant="normal">A</mi>
                </mstyle>
               </mrow>
               <mo fence="true" form="postfix" stretchy="true">]</mo>
              </mrow>
              <mi mathvariant="italic">ap</mi>
             </msub>
            </mrow>
            <msub>
             <mstyle mathvariant="bold">
              <mi mathvariant="normal">v</mi>
             </mstyle>
             <mi mathvariant="italic">pmp</mi>
            </msub>
           </mrow>
          </mrow>
          <mo fence="true" form="postfix" stretchy="true">}</mo>
         </mrow>
        </mrow>
        <annotation encoding="StarMath 5.0">&quot;&quot;
{bold nitalic v}_OmO
={bold nitalic v}_OaO
+
left[{bold nitalic dot A} right]_Oa
left lbrace
{bold nitalic r}_apa
+
left[{bold nitalic A} right]_ap
{bold nitalic r}_pmp
right rbrace
+
left[{bold nitalic A} right]_Oa
left lbrace
{bold nitalic v}_apa
+
left[{bold nitalic dot A} right]_ap
{bold nitalic r}_pmp
+
left[{bold nitalic A} right]_ap
{bold nitalic v}_pmp
right rbrace
 </annotation>
       </semantics>
      </math>
     </draw:object><draw:image>
      <office:binary-data>VkNMTVRGAQAxAAAAAAAAAAEAGwAAAAAAAAAAAAAAAAABAAAAAQAAAAEAAAABAAAAATcwAACF
       AgAASgEAAJYAAQACAAAACQCLAAEAAgAAAP//gQABABAAAAAAAAAAAAAAADYwAACEAgAAlQAB
       AAQAAAAAAAAAlgABAAIAAAAJAIsAAQACAAAAHwCKAAEAOwAAAAMANQAAAAkAVGhvcm5kYWxl
       AAAAAAAApwEAAAAAAAAAAAgAAAAAAAAA/wMAAAAAAAAAAAD/AwAAAAAAiAABAAIAAAABAIcA
       AQAFAAAA/////wCGAAEABAAAAAAAAAByAAIAFwAAALkAAADCAQAAAQB21AAAAAAA//8BAHYA
       jAABAAAAAACLAAEAAgAAAB8AigABADsAAAADADUAAAAJAFRob3JuZGFsZQAAAAAAAP0AAAAA
       AAAAAAAFAAAAAAACAP8DAAAAAAAAAAAA/wMAAAAAAIgAAQACAAAAAQCHAAEABQAAAP////8A
       hgABAAQAAAAAAAAAcgACAB0AAACNAQAALAIAAAMAT21PIgIAAAAA//8DAE8AbQBPAIwAAQAA
       AAAAiwABAAIAAAAfAIoAAQA8AAAAAwA2AAAACgBPcGVuU3ltYm9sAAAAAAAApwEAAP//AAAA
       AAUAAAAAAAAA/wMAAAAAAAAAAAD/AwAAAAAAiAABAAIAAAABAIcAAQAFAAAA/////wCGAAEA
       BAAAAAAAAAByAAIAGgAAANMDAADCAQAAAQAAAD0ATgEAAAAA//8BAD0AjAABAAAAAACLAAEA
       AgAAAB8AigABADsAAAADADUAAAAJAFRob3JuZGFsZQAAAAAAAKcBAAAAAAAAAAAIAAAAAAAA
       AP8DAAAAAAAAAAAA/wMAAAAAAIgAAQACAAAAAQCHAAEABQAAAP////8AhgABAAQAAAAAAAAA
       cgACABcAAAArBQAAwgEAAAEAdtQAAAAAAP//AQB2AIwAAQAAAAAAiwABAAIAAAAfAIoAAQA7
       AAAAAwA1AAAACQBUaG9ybmRhbGUAAAAAAAD9AAAAAAAAAAAABQAAAAAAAgD/AwAAAAAAAAAA
       AP8DAAAAAACIAAEAAgAAAAEAhwABAAUAAAD/////AIYAAQAEAAAAAAAAAHIAAgAdAAAAGQYA
       ACwCAAADAE9hT+sBAAAAAP//AwBPAGEATwCMAAEAAAAAAIsAAQACAAAAHwCKAAEAPAAAAAMA
       NgAAAAoAT3BlblN5bWJvbAAAAAAAAKcBAAD//wAAAAAFAAAAAAAAAP8DAAAAAAAAAAAA/wMA
       AAAAAIgAAQACAAAAAQCHAAEABQAAAP////8AhgABAAQAAAAAAAAAcgACABoAAAAQCAAAwgEA
       AAEAAAArAFMBAAAAAP//AQArAIwAAQAAAAAAiwABAAIAAAAfAIoAAQA8AAAAAwA2AAAACgBP
       cGVuU3ltYm9sAADcAAAA+gEAAP//AAAAAAUAAAAAAAAA/wMAAAAAAAAAAAD/AwAAAAAAiAAB
       AAIAAAABAIcAAQAFAAAA/////wCGAAEABAAAAAAAAAByAAIAGgAAAGgJAADCAQAAAQAAAFsA
       WQAAAAAA//8BAFsAjAABAAAAAACLAAEAAgAAAB8AigABADwAAAADADYAAAAKAE9wZW5TeW1i
       b2wAAAAAAACnAQAA//8AAAAACAAAAAAAAAD/AwAAAAAAAAAAAP8DAAAAAACIAAEAAgAAAAEA
       hwABAAUAAAD/////AIYAAQAEAAAAAAAAAHIAAgAaAAAAVgoAAHIBAAABAAAA2QJyAAAAAAD/
       /wEA2QKMAAEAAAAAAIsAAQACAAAAHwCKAAEAOwAAAAMANQAAAAkAVGhvcm5kYWxlAAAAAAAA
       pwEAAAAAAAAAAAgAAAAAAAAA/wMAAAAAAAAAAAD/AwAAAAAAiAABAAIAAAABAIcAAQAFAAAA
       /////wCGAAEABAAAAAAAAAByAAIAFwAAAAYKAADCAQAAAQBBMQEAAAAA//8BAEEAjAABAAAA
       AACLAAEAAgAAAB8AigABADwAAAADADYAAAAKAE9wZW5TeW1ib2wAANwAAAD5AQAA//8AAAAA
       BQAAAAAAAAD/AwAAAAAAAAAAAP8DAAAAAACIAAEAAgAAAAEAhwABAAUAAAD/////AIYAAQAE
       AAAAAAAAAHIAAgAaAAAAXgsAAMIBAAABAAAAXQBZAAAAAAD//wEAXQCMAAEAAAAAAIsAAQAC
       AAAAHwCKAAEAOwAAAAMANQAAAAkAVGhvcm5kYWxlAAAAAAAA/QAAAAAAAAAAAAUAAAAAAAIA
       /wMAAAAAAAAAAAD/AwAAAAAAiAABAAIAAAABAIcAAQAFAAAA/////wCGAAEABAAAAAAAAABy
       AAIAGgAAAK4LAAARAgAAAgBPYTUBAAAAAP//AgBPAGEAjAABAAAAAACLAAEAAgAAAB8AigAB
       ADwAAAADADYAAAAKAE9wZW5TeW1ib2wAAAIBAABQAgAA//8AAAAABQAAAAAAAAD/AwAAAAAA
       AAAAAP8DAAAAAACIAAEAAgAAAAEAhwABAAUAAAD/////AIYAAQAEAAAAAAAAAHIAAgAaAAAA
       IA0AAPcBAAABAAAAewCMAAAAAAD//wEAewCMAAEAAAAAAIsAAQACAAAAHwCKAAEAOwAAAAMA
       NQAAAAkAVGhvcm5kYWxlAAAAAAAApwEAAAAAAAAAAAgAAAAAAAAA/wMAAAAAAAAAAAD/AwAA
       AAAAiAABAAIAAAABAIcAAQAFAAAA/////wCGAAEABAAAAAAAAAByAAIAFwAAAKUNAADCAQAA
       AQByugAAAAAA//8BAHIAjAABAAAAAACLAAEAAgAAAB8AigABADsAAAADADUAAAAJAFRob3Ju
       ZGFsZQAAAAAAAP0AAAAAAAAAAAAFAAAAAAACAP8DAAAAAAAAAAAA/wMAAAAAAIgAAQACAAAA
       AQCHAAEABQAAAP////8AhgABAAQAAAAAAAAAcgACAB0AAAB4DgAALAIAAAMAYXBhfQEAAAAA
       //8DAGEAcABhAIwAAQAAAAAAiwABAAIAAAAfAIoAAQA8AAAAAwA2AAAACgBPcGVuU3ltYm9s
       AAAAAAAApwEAAP//AAAAAAUAAAAAAAAA/wMAAAAAAAAAAAD/AwAAAAAAiAABAAIAAAABAIcA
       AQAFAAAA/////wCGAAEABAAAAAAAAAByAAIAGgAAAAUQAADCAQAAAQAAACsAUwEAAAAA//8B
       ACsAjAABAAAAAACLAAEAAgAAAB8AigABADwAAAADADYAAAAKAE9wZW5TeW1ib2wAANgAAADy
       AQAA//8AAAAABQAAAAAAAAD/AwAAAAAAAAAAAP8DAAAAAACIAAEAAgAAAAEAhwABAAUAAAD/
       ////AIYAAQAEAAAAAAAAAHIAAgAaAAAAXREAAMIBAAABAAAAWwBVAAAAAAD//wEAWwCMAAEA
       AAAAAIsAAQACAAAAHwCKAAEAOwAAAAMANQAAAAkAVGhvcm5kYWxlAAAAAAAApwEAAAAAAAAA
       AAgAAAAAAAAA/wMAAAAAAAAAAAD/AwAAAAAAiAABAAIAAAABAIcAAQAFAAAA/////wCGAAEA
       BAAAAAAAAAByAAIAFwAAAOERAADCAQAAAQBBMQEAAAAA//8BAEEAjAABAAAAAACLAAEAAgAA
       AB8AigABADwAAAADADYAAAAKAE9wZW5TeW1ib2wAANgAAADxAQAA//8AAAAABQAAAAAAAAD/
       AwAAAAAAAAAAAP8DAAAAAACIAAEAAgAAAAEAhwABAAUAAAD/////AIYAAQAEAAAAAAAAAHIA
       AgAaAAAAORMAAMIBAAABAAAAXQBVAAAAAAD//wEAXQCMAAEAAAAAAIsAAQACAAAAHwCKAAEA
       OwAAAAMANQAAAAkAVGhvcm5kYWxlAAAAAAAA/QAAAAAAAAAAAAUAAAAAAAIA/wMAAAAAAAAA
       AAD/AwAAAAAAiAABAAIAAAABAIcAAQAFAAAA/////wCGAAEABAAAAAAAAAByAAIAGgAAAKMT
       AAARAgAAAgBhcP4AAAAAAP//AgBhAHAAjAABAAAAAACLAAEAAgAAAB8AigABADsAAAADADUA
       AAAJAFRob3JuZGFsZQAAAAAAAKcBAAAAAAAAAAAIAAAAAAAAAP8DAAAAAAAAAAAA/wMAAAAA
       AIgAAQACAAAAAQCHAAEABQAAAP////8AhgABAAQAAAAAAAAAcgACABcAAADGFAAAwgEAAAEA
       croAAAAAAP//AQByAIwAAQAAAAAAiwABAAIAAAAfAIoAAQA7AAAAAwA1AAAACQBUaG9ybmRh
       bGUAAAAAAAD9AAAAAAAAAAAABQAAAAAAAgD/AwAAAAAAAAAAAP8DAAAAAACIAAEAAgAAAAEA
       hwABAAUAAAD/////AIYAAQAEAAAAAAAAAHIAAgAdAAAAtBUAACwCAAADAHBtcLQBAAAAAP//
       AwBwAG0AcACMAAEAAAAAAIsAAQACAAAAHwCKAAEAPAAAAAMANgAAAAoAT3BlblN5bWJvbAAA
       AgEAAFACAAD//wAAAAAFAAAAAAAAAP8DAAAAAAAAAAAA/wMAAAAAAIgAAQACAAAAAQCHAAEA
       BQAAAP////8AhgABAAQAAAAAAAAAcgACABoAAACRFwAA9wEAAAEAAAB9AIwAAAAAAP//AQB9
       AIwAAQAAAAAAiwABAAIAAAAfAIoAAQA8AAAAAwA2AAAACgBPcGVuU3ltYm9sAAAAAAAApwEA
       AP//AAAAAAUAAAAAAAAA/wMAAAAAAAAAAAD/AwAAAAAAiAABAAIAAAABAIcAAQAFAAAA////
       /wCGAAEABAAAAAAAAAByAAIAGgAAAPoXAADCAQAAAQAAACsAUwEAAAAA//8BACsAjAABAAAA
       AACLAAEAAgAAAB8AigABADwAAAADADYAAAAKAE9wZW5TeW1ib2wAANgAAADyAQAA//8AAAAA
       BQAAAAAAAAD/AwAAAAAAAAAAAP8DAAAAAACIAAEAAgAAAAEAhwABAAUAAAD/////AIYAAQAE
       AAAAAAAAAHIAAgAaAAAAUhkAAMIBAAABAAAAWwBVAAAAAAD//wEAWwCMAAEAAAAAAIsAAQAC
       AAAAHwCKAAEAOwAAAAMANQAAAAkAVGhvcm5kYWxlAAAAAAAApwEAAAAAAAAAAAgAAAAAAAAA
       /wMAAAAAAAAAAAD/AwAAAAAAiAABAAIAAAABAIcAAQAFAAAA/////wCGAAEABAAAAAAAAABy
       AAIAFwAAAPEZAADCAQAAAQBBMQEAAAAA//8BAEEAjAABAAAAAACLAAEAAgAAAB8AigABADwA
       AAADADYAAAAKAE9wZW5TeW1ib2wAANgAAADxAQAA//8AAAAABQAAAAAAAAD/AwAAAAAAAAAA
       AP8DAAAAAACIAAEAAgAAAAEAhwABAAUAAAD/////AIYAAQAEAAAAAAAAAHIAAgAaAAAASRsA
       AMIBAAABAAAAXQBVAAAAAAD//wEAXQCMAAEAAAAAAIsAAQACAAAAHwCKAAEAOwAAAAMANQAA
       AAkAVGhvcm5kYWxlAAAAAAAA/QAAAAAAAAAAAAUAAAAAAAIA/wMAAAAAAAAAAAD/AwAAAAAA
       iAABAAIAAAABAIcAAQAFAAAA/////wCGAAEABAAAAAAAAAByAAIAGgAAAJgbAAARAgAAAgBP
       YTUBAAAAAP//AgBPAGEAjAABAAAAAACLAAEAAgAAAB8AigABADwAAAADADYAAAAKAE9wZW5T
       eW1ib2wAAAYBAABaAgAA//8AAAAABQAAAAAAAAD/AwAAAAAAAAAAAP8DAAAAAACIAAEAAgAA
       AAEAhwABAAUAAAD/////AIYAAQAEAAAAAAAAAHIAAgAaAAAACx0AAPcBAAABAAAAewCMAAAA
       AAD//wEAewCMAAEAAAAAAIsAAQACAAAAHwCKAAEAOwAAAAMANQAAAAkAVGhvcm5kYWxlAAAA
       AAAApwEAAAAAAAAAAAgAAAAAAAAA/wMAAAAAAAAAAAD/AwAAAAAAiAABAAIAAAABAIcAAQAF
       AAAA/////wCGAAEABAAAAAAAAAByAAIAFwAAAI8dAADCAQAAAQB21AAAAAAA//8BAHYAjAAB
       AAAAAACLAAEAAgAAAB8AigABADsAAAADADUAAAAJAFRob3JuZGFsZQAAAAAAAP0AAAAAAAAA
       AAAFAAAAAAACAP8DAAAAAAAAAAAA/wMAAAAAAIgAAQACAAAAAQCHAAEABQAAAP////8AhgAB
       AAQAAAAAAAAAcgACAB0AAAB9HgAALAIAAAMAYXBhfQEAAAAA//8DAGEAcABhAIwAAQAAAAAA
       iwABAAIAAAAfAIoAAQA8AAAAAwA2AAAACgBPcGVuU3ltYm9sAAAAAAAApwEAAP//AAAAAAUA
       AAAAAAAA/wMAAAAAAAAAAAD/AwAAAAAAiAABAAIAAAABAIcAAQAFAAAA/////wCGAAEABAAA
       AAAAAAByAAIAGgAAAAogAADCAQAAAQAAACsAUwEAAAAA//8BACsAjAABAAAAAACLAAEAAgAA
       AB8AigABADwAAAADADYAAAAKAE9wZW5TeW1ib2wAANwAAAD6AQAA//8AAAAABQAAAAAAAAD/
       AwAAAAAAAAAAAP8DAAAAAACIAAEAAgAAAAEAhwABAAUAAAD/////AIYAAQAEAAAAAAAAAHIA
       AgAaAAAAYiEAAMIBAAABAAAAWwBZAAAAAAD//wEAWwCMAAEAAAAAAIsAAQACAAAAHwCKAAEA
       PAAAAAMANgAAAAoAT3BlblN5bWJvbAAAAAAAAKcBAAD//wAAAAAIAAAAAAAAAP8DAAAAAAAA
       AAAA/wMAAAAAAIgAAQACAAAAAQCHAAEABQAAAP////8AhgABAAQAAAAAAAAAcgACABoAAABQ
       IgAAcgEAAAEAAADZAnIAAAAAAP//AQDZAowAAQAAAAAAiwABAAIAAAAfAIoAAQA7AAAAAwA1
       AAAACQBUaG9ybmRhbGUAAAAAAACnAQAAAAAAAAAACAAAAAAAAAD/AwAAAAAAAAAAAP8DAAAA
       AACIAAEAAgAAAAEAhwABAAUAAAD/////AIYAAQAEAAAAAAAAAHIAAgAXAAAAASIAAMIBAAAB
       AEExAQAAAAD//wEAQQCMAAEAAAAAAIsAAQACAAAAHwCKAAEAPAAAAAMANgAAAAoAT3BlblN5
       bWJvbAAA3AAAAPkBAAD//wAAAAAFAAAAAAAAAP8DAAAAAAAAAAAA/wMAAAAAAIgAAQACAAAA
       AQCHAAEABQAAAP////8AhgABAAQAAAAAAAAAcgACABoAAABZIwAAwgEAAAEAAABdAFkAAAAA
       AP//AQBdAIwAAQAAAAAAiwABAAIAAAAfAIoAAQA7AAAAAwA1AAAACQBUaG9ybmRhbGUAAAAA
       AAD9AAAAAAAAAAAABQAAAAAAAgD/AwAAAAAAAAAAAP8DAAAAAACIAAEAAgAAAAEAhwABAAUA
       AAD/////AIYAAQAEAAAAAAAAAHIAAgAaAAAAqCMAABECAAACAGFw/gAAAAAA//8CAGEAcACM
       AAEAAAAAAIsAAQACAAAAHwCKAAEAOwAAAAMANQAAAAkAVGhvcm5kYWxlAAAAAAAApwEAAAAA
       AAAAAAgAAAAAAAAA/wMAAAAAAAAAAAD/AwAAAAAAiAABAAIAAAABAIcAAQAFAAAA/////wCG
       AAEABAAAAAAAAAByAAIAFwAAAOYkAADCAQAAAQByugAAAAAA//8BAHIAjAABAAAAAACLAAEA
       AgAAAB8AigABADsAAAADADUAAAAJAFRob3JuZGFsZQAAAAAAAP0AAAAAAAAAAAAFAAAAAAAC
       AP8DAAAAAAAAAAAA/wMAAAAAAIgAAQACAAAAAQCHAAEABQAAAP////8AhgABAAQAAAAAAAAA
       cgACAB0AAADUJQAALAIAAAMAcG1wtAEAAAAA//8DAHAAbQBwAIwAAQAAAAAAiwABAAIAAAAf
       AIoAAQA8AAAAAwA2AAAACgBPcGVuU3ltYm9sAAAAAAAApwEAAP//AAAAAAUAAAAAAAAA/wMA
       AAAAAAAAAAD/AwAAAAAAiAABAAIAAAABAIcAAQAFAAAA/////wCGAAEABAAAAAAAAAByAAIA
       GgAAAJYnAADCAQAAAQAAACsAUwEAAAAA//8BACsAjAABAAAAAACLAAEAAgAAAB8AigABADwA
       AAADADYAAAAKAE9wZW5TeW1ib2wAANgAAADyAQAA//8AAAAABQAAAAAAAAD/AwAAAAAAAAAA
       AP8DAAAAAACIAAEAAgAAAAEAhwABAAUAAAD/////AIYAAQAEAAAAAAAAAHIAAgAaAAAA7igA
       AMIBAAABAAAAWwBVAAAAAAD//wEAWwCMAAEAAAAAAIsAAQACAAAAHwCKAAEAOwAAAAMANQAA
       AAkAVGhvcm5kYWxlAAAAAAAApwEAAAAAAAAAAAgAAAAAAAAA/wMAAAAAAAAAAAD/AwAAAAAA
       iAABAAIAAAABAIcAAQAFAAAA/////wCGAAEABAAAAAAAAAByAAIAFwAAAHIpAADCAQAAAQBB
       MQEAAAAA//8BAEEAjAABAAAAAACLAAEAAgAAAB8AigABADwAAAADADYAAAAKAE9wZW5TeW1i
       b2wAANgAAADxAQAA//8AAAAABQAAAAAAAAD/AwAAAAAAAAAAAP8DAAAAAACIAAEAAgAAAAEA
       hwABAAUAAAD/////AIYAAQAEAAAAAAAAAHIAAgAaAAAAyioAAMIBAAABAAAAXQBVAAAAAAD/
       /wEAXQCMAAEAAAAAAIsAAQACAAAAHwCKAAEAOwAAAAMANQAAAAkAVGhvcm5kYWxlAAAAAAAA
       /QAAAAAAAAAAAAUAAAAAAAIA/wMAAAAAAAAAAAD/AwAAAAAAiAABAAIAAAABAIcAAQAFAAAA
       /////wCGAAEABAAAAAAAAAByAAIAGgAAADQrAAARAgAAAgBhcP4AAAAAAP//AgBhAHAAjAAB
       AAAAAACLAAEAAgAAAB8AigABADsAAAADADUAAAAJAFRob3JuZGFsZQAAAAAAAKcBAAAAAAAA
       AAAIAAAAAAAAAP8DAAAAAAAAAAAA/wMAAAAAAIgAAQACAAAAAQCHAAEABQAAAP////8AhgAB
       AAQAAAAAAAAAcgACABcAAABxLAAAwgEAAAEAdtQAAAAAAP//AQB2AIwAAQAAAAAAiwABAAIA
       AAAfAIoAAQA7AAAAAwA1AAAACQBUaG9ybmRhbGUAAAAAAAD9AAAAAAAAAAAABQAAAAAAAgD/
       AwAAAAAAAAAAAP8DAAAAAACIAAEAAgAAAAEAhwABAAUAAAD/////AIYAAQAEAAAAAAAAAHIA
       AgAdAAAAei0AACwCAAADAHBtcLQBAAAAAP//AwBwAG0AcACMAAEAAAAAAIsAAQACAAAAHwCK
       AAEAPAAAAAMANgAAAAoAT3BlblN5bWJvbAAABgEAAFoCAAD//wAAAAAFAAAAAAAAAP8DAAAA
       AAAAAAAA/wMAAAAAAIgAAQACAAAAAQCHAAEABQAAAP////8AhgABAAQAAAAAAAAAcgACABoA
       AAA7LwAA9wEAAAEAAAB9AIwAAAAAAP//AQB9AIwAAQAAAAAAlQABAAQAAAAAAAAAlgABAAIA
       AAAJAIwAAQAAAAAA
      </office:binary-data>
     </draw:image>
    </draw:frame></text:p>
   <text:p text:style-name="P2"/>
   <text:p text:style-name="P2"/>
   <text:p text:style-name="P2"/>
   <text:p text:style-name="P2"/>
   <text:p text:style-name="P2"/>
   <text:p text:style-name="P2"/>
   <text:p text:style-name="P2"/>
   <text:p text:style-name="P2"/>
   <text:p text:style-name="P2"/>
   <text:p text:style-name="P2"/>
   <text:p text:style-name="P2"/>
   <text:p text:style-name="P2"/>
   <text:p text:style-name="P2"/>
   <text:p text:style-name="P2"/>
   <text:p text:style-name="P2"/>
   <text:p text:style-name="P2"/>
   <text:p text:style-name="P2"/>
  </office:text>
 </office:body>
</office:document>