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xml:space="preserve">x</ml:id> <ml:matrix rows="4" cols="1"> <ml:apply> <ml:plus/> <ml:real font="0">0.31</ml:real> <ml:imag font="0" symbol="i">0.70</ml:imag> </ml:apply> <ml:apply> <ml:minus/> <ml:real font="0">0.21</ml:real> <ml:imag font="0" symbol="i">0.89</ml:imag> </ml:apply> <ml:apply> <ml:plus/> <ml:real font="0">0.36</ml:real> <ml:imag font="0" symbol="i">0.02</ml:imag> </ml:apply> <ml:apply> <ml:minus/> <ml:real font="0">0.44</ml:real> <ml:imag font="0" symbol="i">0.14</ml:imag> </ml:apply> </ml:matrix> </ml:define> </math> <rendering item-idref="2"/> </region> <region region-id="151" left="18" top="87" width="51.75" height="12.75" align-x="36" align-y="96" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval> <ml:apply> <ml:absval/> <ml:id xml:space="preserve">x</ml:id> </ml:apply> <ml:result> <ml:real>1.3287211897158862</ml:real> </ml:result> </ml:eval> </math> <rendering item-idref="3"/> </region> <region region-id="69" left="210" top="86.25" width="135" height="12" align-x="210" align-y="96" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">magnitude ("length") of vector x</p> </text> </region> <region region-id="70" left="210" top="134.25" width="102.75" height="12" align-x="222.75" align-y="144" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">vector consisting of the </p> </text> </region> <region region-id="150" left="18" top="116.25" width="64.5" height="62.25" align-x="36" 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:eval> <ml:apply> <ml:vectorize/> <ml:apply> <ml:absval/> <ml:id xml:space="preserve">x</ml:id> </ml:apply> </ml:apply> <ml:result> <ml:matrix rows="4" cols="1"> <ml:real>0.76557168181692825</ml:real> <ml:real>0.91443971917234657</ml:real> <ml:real>0.3605551275463989</ml:real> <ml:real>0.46173585522460781</ml:real> </ml:matrix> </ml:result> </ml:eval> </math> <rendering item-idref="4"/> </region> <region region-id="149" left="18" top="195" width="74.25" height="18.75" align-x="58.5" align-y="210" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval> <ml:apply> <ml:id xml:space="preserve">max</ml:id> <ml:apply> <ml:vectorize/> <ml:apply> <ml:absval/> <ml:id xml:space="preserve">x</ml:id> </ml:apply> </ml:apply> </ml:apply> <ml:result> <ml:real>0.91443971917234657</ml:real> </ml:result> </ml:eval> </math> <rendering item-idref="5"/> </region> <region region-id="71" left="210" top="200.25" width="178.5" height="12" align-x="216" align-y="210" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">the maximum of the vector of magnitudes</p> </text> </region> <region region-id="148" left="18" top="231" width="74.25" height="18.75" align-x="58.5" align-y="246" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval> <ml:apply> <ml:vectorize/> <ml:apply> <ml:id xml:space="preserve">max</ml:id> <ml:apply> <ml:absval/> <ml:id xml:space="preserve">x</ml:id> </ml:apply> </ml:apply> </ml:apply> <ml:result> <ml:real>0.91443971917234657</ml:real> </ml:result> </ml:eval> </math> <rendering item-idref="6"/> </region> <region region-id="72" left="210" top="236.25" width="89.25" height="12" align-x="210" align-y="246" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">works the same way</p> </text> </region> <region region-id="147" left="18" top="273" width="163.5" height="25.5" align-x="122.25" align-y="282" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> 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style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">complex number with biggest magnitude</p> </text> </region> <region region-id="146" left="18" top="320.25" width="60" height="12" align-x="18" align-y="330" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Vectorization:</p> </text> </region> <region region-id="145" left="18" top="346.5" width="42.75" height="45.75" align-x="30" align-y="372" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define> <ml:id xml:space="preserve">a</ml:id> <ml:matrix rows="3" cols="1"> 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size="10"> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false"> <c val="#00f">)</c> </inlineAttr> </f> <sup> <sp/> </sup> </p> </text> </region> <region region-id="141" left="18" top="556.5" width="81.75" height="45.75" align-x="48" align-y="582" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval> <ml:apply> <ml:id xml:space="preserve">sin</ml:id> <ml:id xml:space="preserve">a</ml:id> </ml:apply> <ml:result> <ml:matrix rows="3" cols="1"> <ml:real>-0.8414709848078965</ml:real> <ml:real>0.14112000805986721</ml:real> <ml:real>0.95892427466313845</ml:real> </ml:matrix> </ml:result> </ml:eval> </math> <rendering item-idref="17"/> </region> <region region-id="135" left="168" top="556.5" width="81.75" height="45.75" align-x="198" align-y="582" show-border="false" show-highlight="false" is-protected="true" z-order="0" 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