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				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">CEE 4540 MathCAD help!</p>
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				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Here are the common confusions to have straightened out right away!</p>
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				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">1. The different equal signs</p>
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		<region region-id="11" left="54" top="80.25" width="103.5" height="12" align-x="57" align-y="90" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
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				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">a. The variable definition</p>
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						<ml:real>75</ml:real>
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			<text use-page-width="false" push-down="false" lock-width="false">
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">type [shift] [:]</p>
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				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">b. The boolean definition</p>
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			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="2">var</ml:id>
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						<ml:mult style="auto-select"/>
						<ml:real>50</ml:real>
						<ml:id xml:space="preserve">ft</ml:id>
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				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">use the boolean toolbar</p>
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					<ml:id xml:space="preserve">same</ml:id>
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						<ml:equal/>
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						<ml:id xml:space="preserve" subscript="2">var</ml:id>
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			<text use-page-width="false" push-down="false" lock-width="false">
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">"same" is a variable which holds the result of the boolean statement.</p>
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			<text use-page-width="false" push-down="false" lock-width="false">
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">c. The statement (you ask mathcad to display a value)</p>
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			<math optimize="false" disable-calc="false">
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						<ml:real>0</ml:real>
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				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">type [=]</p>
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						<ml:real>1</ml:real>
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				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">d. the arrow... the only definition sign to use in a programming bar.</p>
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			<math optimize="false" disable-calc="false">
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					<ml:program>
						<ml:localDefine>
							<ml:id xml:space="preserve">d</ml:id>
							<ml:real>4</ml:real>
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						<ml:return>
							<ml:id xml:space="preserve">d</ml:id>
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			<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">like the arrow, you can't type the word 'return'. you have to use a shortcut or select it from the programming bar.</p>
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			<math optimize="false" disable-calc="false">
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						<ml:real>4</ml:real>
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				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">2. The best part of MathCAD... units!</p>
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">
					<tab/>I use MathCAD as a conversion tool.</p>
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			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">length1</ml:id>
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						<ml:mult style="auto-select"/>
						<ml:real>45</ml:real>
						<ml:id xml:space="preserve">in</ml:id>
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			<math optimize="false" disable-calc="false">
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					<ml:id xml:space="preserve">length1</ml:id>
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						<unitedValue>
							<ml:real>1.143</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="meter"/>
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				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">SI units are default! Simply type your desired units to get the result you want in the little black box.</p>
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			<math optimize="false" disable-calc="false">
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					<ml:id xml:space="preserve">length1</ml:id>
					<ml:unitOverride>
						<ml:id xml:space="preserve">ft</ml:id>
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					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>3.75</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="foot"/>
							</unitMonomial>
						</unitedValue>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="11"/>
		</region>
		<region region-id="57" left="108" top="500.25" width="303.75" height="24" align-x="115.5" align-y="510" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<text use-page-width="false" push-down="false" lock-width="false">
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">you can also look up units, or type in your own crazy units. To call the dialogue box to look up, double click on the black box.</p>
			</text>
		</region>
		<region region-id="60" left="96" top="524.25" width="119.25" height="33.75" align-x="131.25" align-y="546" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">length1</ml:id>
					<ml:unitOverride>
						<ml:apply>
							<ml:div/>
							<ml:id xml:space="preserve">J</ml:id>
							<ml:id xml:space="preserve">km</ml:id>
						</ml:apply>
					</ml:unitOverride>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>1143</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="joule"/>
								<unitReference unit="kilogram" power-numerator="-1"/>
								<unitReference unit="kilometer" power-numerator="-1"/>
								<unitReference unit="second" power-numerator="2"/>
							</unitMonomial>
						</unitedValue>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="12"/>
		</region>
		<region region-id="63" left="114" top="560.25" width="254.25" height="12" align-x="114.75" align-y="570" 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">I typed in [J] and [km] and MathCAD tried to help me out...</p>
			</text>
		</region>
		<region region-id="78" left="30" top="578.25" width="390" height="36" align-x="33" align-y="588" 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">3. Careful about re-defining things. The little green underline shows that the variable is already in use. Try to avoid seeing this, or you may accidentally re-define something! If you are using a reference, especially an ADT reference, this can mess up your code. </p>
			</text>
		</region>
		<region region-id="79" left="90" top="614.25" width="60.75" height="27.75" align-x="123.75" align-y="630" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="Plant">Q</ml:id>
					<ml:apply>
						<ml:mult style="auto-select"/>
						<ml:real>50</ml:real>
						<ml:apply>
							<ml:div/>
							<ml:id xml:space="preserve">L</ml:id>
							<ml:id xml:space="preserve">s</ml:id>
						</ml:apply>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="13"/>
		</region>
		<region region-id="80" left="90" top="650.25" width="60.75" height="27.75" align-x="123.75" align-y="666" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define warning="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="Plant">Q</ml:id>
					<ml:apply>
						<ml:mult style="auto-select"/>
						<ml:real>86</ml:real>
						<ml:apply>
							<ml:div/>
							<ml:id xml:space="preserve">L</ml:id>
							<ml:id xml:space="preserve">s</ml:id>
						</ml:apply>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="14"/>
		</region>
		<region region-id="84" left="186" top="656.25" width="135" height="12" align-x="191.25" align-y="666" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<text use-page-width="false" push-down="false" lock-width="false">
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">oh no! I've redefined something.</p>
			</text>
		</region>
		<region region-id="82" left="96" top="686.25" width="60" height="27.75" align-x="128.25" align-y="702" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="Plant">Q</ml:id>
					<ml:unitOverride>
						<ml:apply>
							<ml:div/>
							<ml:id xml:space="preserve">L</ml:id>
							<ml:id xml:space="preserve">s</ml:id>
						</ml:apply>
					</ml:unitOverride>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>86</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="liter"/>
								<unitReference unit="second" power-numerator="-1"/>
							</unitMonomial>
						</unitedValue>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="15"/>
		</region>
		<region region-id="87" left="186" top="692.25" width="150.75" height="12" align-x="190.5" align-y="702" 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">so now the latest value is returned.</p>
			</text>
		</region>
		<region region-id="65" left="30" top="722.25" width="372.75" height="36" align-x="33" align-y="732" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<text use-page-width="false" push-down="false" lock-width="false">
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">4. Make sure you remember the difference between local variables and other variables.</p>
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">
					<tab/>Local variables are defined only in a programming bar.</p>
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">
					<tab/>other variables are like those we have defined previously.</p>
			</text>
		</region>
		<region region-id="67" left="108" top="764.25" width="76.5" height="12" align-x="116.25" align-y="774" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<text use-page-width="false" push-down="false" lock-width="false">
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">var.4 is a variable.</p>
			</text>
		</region>
		<region region-id="88" left="126" top="783" width="136.5" height="93.75" align-x="150" align-y="792" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="4">var</ml:id>
					<ml:program>
						<ml:localDefine>
							<ml:id xml:space="preserve">temp1</ml:id>
							<ml:real>99</ml:real>
						</ml:localDefine>
						<ml:localDefine>
							<ml:id xml:space="preserve">temp2</ml:id>
							<ml:apply>
								<ml:minus/>
								<ml:id xml:space="preserve">temp1</ml:id>
								<ml:real>13</ml:real>
							</ml:apply>
						</ml:localDefine>
						<ml:while>
							<ml:apply>
								<ml:greaterThan/>
								<ml:id xml:space="preserve">temp2</ml:id>
								<ml:apply>
									<ml:div/>
									<ml:id xml:space="preserve">temp1</ml:id>
									<ml:real>9</ml:real>
								</ml:apply>
							</ml:apply>
							<ml:localDefine>
								<ml:id xml:space="preserve">temp2</ml:id>
								<ml:apply>
									<ml:minus/>
									<ml:id xml:space="preserve">temp2</ml:id>
									<ml:real>1</ml:real>
								</ml:apply>
							</ml:localDefine>
						</ml:while>
						<ml:return>
							<ml:id xml:space="preserve">temp2</ml:id>
						</ml:return>
					</ml:program>
				</ml:define>
			</math>
			<rendering item-idref="16"/>
		</region>
		<region region-id="90" left="120" top="891" width="45" height="16.5" align-x="142.5" align-y="900" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="4">var</ml:id>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<ml:real>11</ml:real>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="17"/>
		</region>
		<region region-id="91" left="120" top="915" width="43.5" height="12.75" align-x="150.75" align-y="924" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math error="This placeholder is empty." optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">temp2</ml:id>
					<ml:placeholder/>
				</ml:define>
			</math>
			<rendering item-idref="18"/>
		</region>
		<region region-id="95" left="180" top="914.25" width="108" height="12" align-x="186.75" align-y="924" 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">this variable is undefined!</p>
			</text>
		</region>
		<region region-id="97" left="30" top="938.25" width="194.25" height="12" align-x="33" align-y="948" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<text use-page-width="false" push-down="false" lock-width="false">
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">5. The subscript: variable name versus vector</p>
			</text>
		</region>
		<region region-id="98" left="108" top="957" width="41.25" height="16.5" align-x="132" align-y="966" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="5">var</ml:id>
					<ml:real>55</ml:real>
				</ml:define>
			</math>
			<rendering item-idref="19"/>
		</region>
		<region region-id="100" left="192" top="956.25" width="108.75" height="12" align-x="200.25" align-y="966" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<text use-page-width="false" push-down="false" lock-width="false">
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">type variable [.] subscript</p>
			</text>
		</region>
		<region region-id="103" left="108" top="988.5" width="65.25" height="45.75" align-x="132" align-y="1014" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="6">var</ml:id>
					<ml:matrix rows="3" cols="2">
						<ml:real>2</ml:real>
						<ml:real>4</ml:real>
						<ml:real>22</ml:real>
						<ml:real>1</ml:real>
						<ml:real>0</ml:real>
						<ml:real>6</ml:real>
					</ml:matrix>
				</ml:define>
			</math>
			<rendering item-idref="20"/>
		</region>
		<region region-id="105" left="102" top="1053.75" width="66.75" height="26.25" align-x="150.75" align-y="1068" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:apply>
						<ml:indexer/>
						<ml:parens>
							<ml:apply>
								<ml:matcol/>
								<ml:id xml:space="preserve" subscript="6">var</ml:id>
								<ml:real>1</ml:real>
							</ml:apply>
						</ml:parens>
						<ml:real>2</ml:real>
					</ml:apply>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<ml:real>6</ml:real>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="21"/>
		</region>
		<region region-id="108" left="174" top="1058.25" width="253.5" height="36" align-x="186.75" align-y="1068" 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">Return the value in row 2, column 1. Remember that MathCAD matrices are referenced starting at zero!</p>
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">I use the matrix toolbar to select row or column.</p>
			</text>
		</region>
		<region region-id="114" left="24" top="1100.25" width="54" height="12" align-x="27" align-y="1110" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<text use-page-width="false" push-down="false" lock-width="false">
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">6. Functions</p>
			</text>
		</region>
		<region region-id="115" left="72" top="1113" width="135" height="18.75" align-x="126" align-y="1128" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:function>
						<ml:id xml:space="preserve">func</ml:id>
						<ml:boundVars>
							<ml:id xml:space="preserve">input</ml:id>
						</ml:boundVars>
					</ml:function>
					<ml:apply>
						<ml:minus/>
						<ml:apply>
							<ml:pow/>
							<ml:id xml:space="preserve">input</ml:id>
							<ml:real>3</ml:real>
						</ml:apply>
						<ml:apply>
							<ml:mult/>
							<ml:real>.2</ml:real>
							<ml:apply>
								<ml:pow/>
								<ml:id xml:space="preserve">input</ml:id>
								<ml:real>2</ml:real>
							</ml:apply>
						</ml:apply>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="22"/>
		</region>
		<region region-id="118" left="84" top="1142.25" width="338.25" height="36" align-x="84.75" align-y="1152" 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">I have defined a function. 'input' is a local variable in the function definition.</p>
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Now, I'll call the function by specifying the input as an actual value. Notice that the function is now on the definition end of the := sign.</p>
			</text>
		</region>
		<region region-id="119" left="72" top="1185" width="97.5" height="12.75" align-x="96.75" align-y="1194" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">call1</ml:id>
					<ml:eval placeholderMultiplicationStyle="default">
						<ml:apply>
							<ml:id xml:space="preserve">func</ml:id>
							<ml:real>3</ml:real>
						</ml:apply>
						<result xmlns="http://schemas.mathsoft.com/math30">
							<ml:real>25.2</ml:real>
						</result>
					</ml:eval>
				</ml:define>
			</math>
			<rendering item-idref="23"/>
		</region>
		<region region-id="121" left="72" top="1203" width="139.5" height="22.5" align-x="96.75" align-y="1218" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">call2</ml:id>
					<ml:eval placeholderMultiplicationStyle="default">
						<ml:apply>
							<ml:id xml:space="preserve">func</ml:id>
							<ml:id xml:space="preserve" subscript="5">var</ml:id>
						</ml:apply>
						<result xmlns="http://schemas.mathsoft.com/math30">
							<ml:real>165770</ml:real>
						</result>
					</ml:eval>
				</ml:define>
			</math>
			<rendering item-idref="24"/>
		</region>
		<region region-id="192" left="18" top="1238.25" width="60" height="12" align-x="21" align-y="1248" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<text use-page-width="false" push-down="false" lock-width="false">
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">7. References</p>
			</text>
		</region>
		<region region-id="194" left="72" top="1256.25" width="206.25" height="12" align-x="83.25" align-y="1266" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<text use-page-width="false" push-down="false" lock-width="false">
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Insert + Reference + Use relative reference path</p>
			</text>
		</region>
		<region region-id="196" left="78" top="1284.75" width="334.5" height="10.5" align-x="77.25" align-y="1284" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<reference>
				<originRef doc-id="4D3B4C74-4333-4DF6-9235-73B135A44CE6" version-id="E220D60D-455A-42A6-B7AA-98C5030F0136" branch-id="00000000-0000-0000-0000-000000000000" revision-num="201" is-modified="true" region-id="0" href="http://designserver.cee.cornell.edu/aguaclaracode/ExpertInputs.xmcd" xmlns="http://schemas.mathsoft.com/provenance10">
					<hash/>
				</originRef>
				<parentRef doc-id="59CF8ECD-0523-40BF-8F6F-0F7DAED1224D" version-id="BAE7CA9A-4B0B-44E5-8EA8-56D1FBD1F87E" branch-id="00000000-0000-0000-0000-000000000000" revision-num="3" is-modified="true" region-id="0" href="C:\Users\mrf222\Downloads\DC Flow Control and Measurement (2).xmcd" xmlns="http://schemas.mathsoft.com/provenance10">
					<hash>29f66392b5d10f9971c0e463b4dc5b1a</hash>
				</parentRef>
				<comment xmlns="http://schemas.mathsoft.com/provenance10"/>
				<originComment xmlns="http://schemas.mathsoft.com/provenance10"/>
			</reference>
			<link href="http://designserver.cee.cornell.edu/aguaclaracode/ExpertInputs.xmcd"/>
			<rendering item-idref="25"/>
		</region>
		<region region-id="197" left="78" top="1296.75" width="345.75" height="10.5" align-x="77.25" align-y="1296" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<reference>
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			<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">This file especially has all of our accumulated knowledge about fittings and pipes. Don't reinvent the wheel!</p>
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			<link href="http://designserver.cee.cornell.edu/aguaclaracode/FluidsFunctions.xmcd"/>
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			<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">Access to these files online:</p>
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">http://designserver.cee.cornell.edu/aguaclaracode/</p>
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit"/>
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">FYI: Past design teams have done a lot of the hard stuff already-- please use the library of resources we already have available to make your lives easier!</p>
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			<text use-page-width="false" push-down="false" lock-width="false">
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">8. Using functions from references</p>
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			<text use-page-width="false" push-down="false" lock-width="false">
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">This function is defined in the Fluid Functions file. I don't have to rewrite the function definition. I can directly use the function!</p>
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			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="VCOrifice1">Pi</ml:id>
					<ml:real>.62</ml:real>
				</ml:define>
			</math>
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			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="want">Q</ml:id>
					<ml:eval placeholderMultiplicationStyle="default">
						<ml:apply>
							<ml:id xml:space="preserve" subscript="orificeV">Q</ml:id>
							<ml:sequence>
								<ml:apply>
									<ml:mult style="auto-select"/>
									<ml:real>1.5</ml:real>
									<ml:id xml:space="preserve">in</ml:id>
								</ml:apply>
								<ml:apply>
									<ml:mult style="auto-select"/>
									<ml:real>20</ml:real>
									<ml:id xml:space="preserve">cm</ml:id>
								</ml:apply>
								<ml:id xml:space="preserve" subscript="VCOrifice1">Pi</ml:id>
							</ml:sequence>
						</ml:apply>
						<ml:unitOverride>
							<ml:apply>
								<ml:div/>
								<ml:id xml:space="preserve">L</ml:id>
								<ml:id xml:space="preserve">s</ml:id>
							</ml:apply>
						</ml:unitOverride>
						<result xmlns="http://schemas.mathsoft.com/math30">
							<unitedValue>
								<ml:real>1.3995946562256161</ml:real>
								<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
									<unitReference unit="liter"/>
									<unitReference unit="second" power-numerator="-1"/>
								</unitMonomial>
							</unitedValue>
						</result>
					</ml:eval>
				</ml:define>
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			<math optimize="false" disable-calc="false">
				<ml:id xml:space="preserve" xmlns:ml="http://schemas.mathsoft.com/math30">D</ml:id>
			</math>
			<rendering item-idref="32"/>
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			<math optimize="false" disable-calc="false">
				<ml:id xml:space="preserve" xmlns:ml="http://schemas.mathsoft.com/math30">h</ml:id>
			</math>
			<rendering item-idref="33"/>
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		<region region-id="217" left="60" top="1568.25" width="375" height="120" align-x="63" align-y="1578" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<text use-page-width="false" push-down="false" lock-width="false">
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">If functions are not working, some de-bugging steps are:</p>
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">
					<tab/>1. Make sure you include all relevant units</p>
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">
					<tab/>2. The function may depend on other functions in other files-- make sure all of the necessary references are included in your document.</p>
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">
					<tab/>3. Confused about reference order? The order in EtFlocSedFi is pretty standard. When in doubt, include more references than you need.</p>
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">
					<tab/>4. The ADT files are a good place to look for EXAMPLES of the functions in action. If you are confused about the input, look at existing code, or ask a desing team member or team lead.</p>
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">
					<tab/>5. Check that your reference is live by double clicking on it</p>
			</text>
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			<text use-page-width="false" push-down="false" lock-width="false">
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Optional extra stuff:</p>
			</text>
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		<region region-id="221" left="60" top="1706.25" width="177" height="12" align-x="78" align-y="1716" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<text use-page-width="false" push-down="false" lock-width="false">
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Graphing in MathCAD can be super nice!</p>
			</text>
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		<region region-id="252" left="60" top="1724.25" width="174.75" height="12" align-x="75" align-y="1734" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<text use-page-width="false" push-down="false" lock-width="false">
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Adding areas... [right click] insert + area</p>
			</text>
		</region>
		<region region-id="251" left="0" top="1748.25" width="6008.25" align-x="0" align-y="1748.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="" height="1191">
			<area is-collapsed="true" name="" show-name="false" show-border="true" show-icon="true" show-timestamp="true" allow-expand="false" is-locked="false" timestamp="" top-lock-id="228" bottom-lock-id="229">
				<region region-id="230" left="12" top="17.25" width="129.75" height="12" align-x="15" align-y="27" 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">9. vector versus range variable</p>
					</text>
				</region>
				<region region-id="231" left="66" top="36" width="138" height="111" align-x="102.75" align-y="45" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
					<math optimize="false" disable-calc="false">
						<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
							<ml:id xml:space="preserve" subscript="vector">x</ml:id>
							<ml:program>
								<ml:localDefine>
									<ml:apply>
										<ml:indexer/>
										<ml:id xml:space="preserve">x</ml:id>
										<ml:real>0</ml:real>
									</ml:apply>
									<ml:real>10</ml:real>
								</ml:localDefine>
								<ml:localDefine>
									<ml:id xml:space="preserve">i</ml:id>
									<ml:real>0</ml:real>
								</ml:localDefine>
								<ml:while>
									<ml:apply>
										<ml:lessThan/>
										<ml:apply>
											<ml:indexer/>
											<ml:id xml:space="preserve">x</ml:id>
											<ml:id xml:space="preserve">i</ml:id>
										</ml:apply>
										<ml:real>40</ml:real>
									</ml:apply>
									<ml:program>
										<ml:localDefine>
											<ml:id xml:space="preserve">i</ml:id>
											<ml:apply>
												<ml:plus/>
												<ml:id xml:space="preserve">i</ml:id>
												<ml:real>1</ml:real>
											</ml:apply>
										</ml:localDefine>
										<ml:localDefine>
											<ml:apply>
												<ml:indexer/>
												<ml:id xml:space="preserve">x</ml:id>
												<ml:id xml:space="preserve">i</ml:id>
											</ml:apply>
											<ml:apply>
												<ml:plus/>
												<ml:apply>
													<ml:indexer/>
													<ml:id xml:space="preserve">x</ml:id>
													<ml:apply>
														<ml:minus/>
														<ml:id xml:space="preserve">i</ml:id>
														<ml:real>1</ml:real>
													</ml:apply>
												</ml:apply>
												<ml:real>6</ml:real>
											</ml:apply>
										</ml:localDefine>
									</ml:program>
								</ml:while>
								<ml:return>
									<ml:id xml:space="preserve">x</ml:id>
								</ml:return>
							</ml:program>
						</ml:define>
					</math>
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				<region region-id="232" left="228" top="65.25" width="177.75" height="24" align-x="241.5" align-y="75" 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">Within this programming bar, 'x' is a local variable that is a vector.</p>
					</text>
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				<region region-id="233" left="210" top="185.25" width="217.5" height="24" align-x="218.25" align-y="195" 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">This is just returning the variable I defined above, but I could also type these numbers in manually.</p>
					</text>
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				<region region-id="234" left="84" top="174.75" width="70.5" height="95.25" align-x="119.25" align-y="225" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
					<math optimize="false" disable-calc="false">
						<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
							<ml:id xml:space="preserve" subscript="vector">x</ml:id>
							<result xmlns="http://schemas.mathsoft.com/math30">
								<ml:matrix rows="6" cols="1">
									<ml:real>10</ml:real>
									<ml:real>16</ml:real>
									<ml:real>22</ml:real>
									<ml:real>28</ml:real>
									<ml:real>34</ml:real>
									<ml:real>40</ml:real>
								</ml:matrix>
							</result>
						</ml:eval>
					</math>
				</region>
				<region region-id="235" left="78" top="282" width="80.25" height="16.5" align-x="111" align-y="291" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
					<math optimize="false" disable-calc="false">
						<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
							<ml:id xml:space="preserve" subscript="range">x</ml:id>
							<ml:range>
								<ml:sequence>
									<ml:real>10</ml:real>
									<ml:real>16</ml:real>
								</ml:sequence>
								<ml:real>40</ml:real>
							</ml:range>
						</ml:define>
					</math>
				</region>
				<region region-id="236" left="216" top="281.25" width="189.75" height="24" align-x="223.5" align-y="291" 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">Type value1 [,] value2 then hit the [m..n] key in the matrix toolbar.</p>
					</text>
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					<math optimize="false" disable-calc="false">
						<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
							<ml:id xml:space="preserve" subscript="range">x</ml:id>
							<result xmlns="http://schemas.mathsoft.com/math30">
								<ml:matrix rows="6" cols="1">
									<ml:real>10</ml:real>
									<ml:real>16</ml:real>
									<ml:real>22</ml:real>
									<ml:real>28</ml:real>
									<ml:real>34</ml:real>
									<ml:real>40</ml:real>
								</ml:matrix>
							</result>
						</ml:eval>
						<resultFormat>
							<table item-idref="34"/>
						</resultFormat>
					</math>
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						<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">This is a range variable, and it looks different!</p>
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						<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">10. Range variables used in graphs! </p>
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						<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">For some reason-- even though this looks just like the range variable-- it isn't a range variable! And it doesn't work! The moral of the story is: use range variables only in this context.</p>
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						<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">9. How to use vectorized code to multiply things element by element. This may speed things up when you have muptiple data sets to work with</p>
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						<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">The vectorize operator is in the matrix toolbar.</p>
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						<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">This isn't what we wanted... oops! Though this example is very simplistic, it will make things easier later on. Remember the vectorize operator when you have to do element by element multiplication.</p>
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