uni/automation/bonus2022/ue1.mw

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<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal">with(inttrans):</Text-field>
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<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal">with(LinearAlgebra):</Text-field>
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<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal">with(DynamicSystems):</Text-field>
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<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal">with(PolynomialTools):</Text-field>
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<Input><Text-field style="Text" layout="Normal">bonus exercise 1</Text-field>
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<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal">transfer1_orig := -65*(s-1)*(s+2)/((s+1)^2*(s+5))</Text-field>
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<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal">const_term := -16*limit(s/s*transfer1_orig, s = 0)</Text-field>
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<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal">transfer1 := eval(transfer1_orig, s=I*omega)</Text-field>
</Input>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSp0cmFuc2ZlcjFHRigsJCoqLCYqJl4jIiIiRjNJJm9tZWdhR0YoRjNGMyEiIkYzRjMsJkYxRjMiIiNGM0YzLCZGMUYzRjNGMyEiIywmRjFGMyIiJkYzRjUhI2w3I0Yu</Equation></Text-field>
</Output>
</Group>
<Group hide-input="false" labelreference="L17" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal">calc_transfer_arg := Omega -&gt; argument(eval(simplify(transfer1), omega=Omega))</Text-field>
</Input>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+STJjYWxjX3RyYW5zZmVyX2FyZ0dGKGYqNiNJJk9tZWdhR0YoRig2JEkpb3BlcmF0b3JHRihJJmFycm93R0YoRigtSSlhcmd1bWVudEdGJTYjLUklZXZhbEdGJjYkLUkpc2ltcGxpZnlHRiU2I0kqdHJhbnNmZXIxR0YoL0kmb21lZ2FHRig5JEYoRihGKDcjRi4=</Equation></Text-field>
</Output>
</Group>
<Group hide-input="false" labelreference="L19" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal">calc_transfer_mag := Omega -&gt; abs(eval(simplify(transfer1), omega=Omega))</Text-field>
</Input>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+STJjYWxjX3RyYW5zZmVyX21hZ0dGKGYqNiNJJk9tZWdhR0YoRig2JEkpb3BlcmF0b3JHRihJJmFycm93R0YoRigtSSRhYnNHRiY2Iy1JJWV2YWxHRiY2JC1JKXNpbXBsaWZ5R0YlNiNJKnRyYW5zZmVyMUdGKC9JJm9tZWdhR0YoOSRGKEYoRig3I0Yu</Equation></Text-field>
</Output>
</Group>
<Group hide-input="false" labelreference="L20" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal">calc_transfer_arg(10), calc_transfer_mag(10)</Text-field>
</Input>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUYjNictSSNtb0dGJDYtUSomdW1pbnVzMDtGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRjYvJSlzdHJldGNoeUdGNi8lKnN5bW1ldHJpY0dGNi8lKGxhcmdlb3BHRjYvJS5tb3ZhYmxlbGltaXRzR0Y2LyUnYWNjZW50R0Y2LyUnbHNwYWNlR1EsMC4yMjIyMjIyZW1GJy8lJ3JzcGFjZUdGRS1GIzYmLUkjbWlHRiQ2JVEnYXJjdGFuRicvJSdpdGFsaWNHRjZGMS1GLjYtUTAmQXBwbHlGdW5jdGlvbjtGJ0YxRjRGN0Y5RjtGPUY/RkEvRkRRJjAuMGVtRicvRkdGVC1JKG1mZW5jZWRHRiQ2JC1GIzYmLUkmbWZyYWNHRiQ2KC1JI21uR0YkNiRRJTk3NzNGJ0YxLUZpbjYkUSU2MTk5RidGMS8lLmxpbmV0aGlja25lc3NHUSIxRicvJStkZW5vbWFsaWduR1EnY2VudGVyRicvJSludW1hbGlnbkdGZG8vJSliZXZlbGxlZEdGNi8lK2ZvcmVncm91bmRHUShbMCwwLDBdRicvJSlyZWFkb25seUdGNkYxRjFGMS1GLjYtUScmcGx1cztGJ0YxRjRGN0Y5RjtGPUY/RkFGQ0ZGLUZLNiVRJSZwaTtGJ0ZORjFGMS1GLjYtUSgmY29tbWE7RidGMUY0L0Y4USV0cnVlRidGOUY7Rj1GP0ZBRlMvRkdRLDAuMzMzMzMzM2VtRictRmZuNigtRiM2Ji1GaW42JFEjMjZGJ0YxLUYuNi1RMSZJbnZpc2libGVUaW1lcztGJ0YxRjRGN0Y5RjtGPUY/RkFGU0ZVLUkmbXNxcnRHRiQ2Iy1GaW42JFEmMTMxMzBGJ0YxRjEtRmluNiRRJDUwNUYnRjFGX29GYm9GZW9GZ29GMQ==">NiQsJi1JJ2FyY3Rhbkc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYjIyIldCgqIiUqPichIiJJI1BpR0YnIiIiLCQqJCImSUoiI0YwIiIjIyIjRSIkMCY=</Equation></Text-field>
</Output>
</Group>
<Group hide-input="false" labelreference="L21" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal">calc_transfer_freq_resp := (A0, omega_0, phi) -&gt; A0*calc_transfer_mag(omega_0)*sin(omega_0*t+phi+calc_transfer_arg(omega_0))</Text-field>
</Input>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2JVE4Y2FsY190cmFuc2Zlcl9mcmVxX3Jlc3BGJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRictSSNtb0dGJDYtUSkmQXNzaWduO0YnL0YzUSdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGPS8lKXN0cmV0Y2h5R0Y9LyUqc3ltbWV0cmljR0Y9LyUobGFyZ2VvcEdGPS8lLm1vdmFibGVsaW1pdHNHRj0vJSdhY2NlbnRHRj0vJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZMLUkobWZlbmNlZEdGJDYkLUYjNiotRiw2JVEjQTBGJ0YvRjItRjY2LVEiLEYnRjlGOy9GP0YxRkBGQkZERkZGSC9GS1EmMC4wZW1GJy9GTlEsMC4zMzMzMzMzZW1GJy1GLDYlUShvbWVnYV8wRidGL0YyRlctRiw2JVEmJnBoaTtGJy9GMEY9RjkvJStmb3JlZ3JvdW5kR1EoWzAsMCwwXUYnLyUpcmVhZG9ubHlHRj1GOUY5LUY2Ni1RJiZtYXA7RidGOUY7Rj4vRkFGMUZCRkRGRkZIRkpGTS1GIzYoRlQtRjY2LVEnJnNkb3Q7RidGOUY7Rj5GQEZCRkRGRkZIRmVuL0ZORmZuLUYjNiYtRiw2JVEyY2FsY190cmFuc2Zlcl9tYWdGJ0YvRjItRjY2LVEwJkFwcGx5RnVuY3Rpb247RidGOUY7Rj5GQEZCRkRGRkZIRmVuRl5wLUZQNiQtRiM2JkZpbkZgb0Zjb0Y5RjlGOUZbcC1GIzYmLUYsNiVRJHNpbkYnRl9vRjlGZHAtRlA2JC1GIzYoLUYjNiZGaW5GW3AtRiw2JVEidEYnRi9GMkY5LUY2Ni1RJyZwbHVzO0YnRjlGO0Y+RkBGQkZERkZGSC9GS1EsMC4yMjIyMjIyZW1GJy9GTkZdckZcb0ZpcS1GIzYmLUYsNiVRMmNhbGNfdHJhbnNmZXJfYXJnRidGL0YyRmRwRmdwRjlGOUY5RjlGOUY5">LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SThjYWxjX3RyYW5zZmVyX2ZyZXFfcmVzcEdGKGYqNiVJI0EwR0YoSShvbWVnYV8wR0YoSSRwaGlHRihGKDYkSSlvcGVyYXRvckdGKEkmYXJyb3dHRihGKCooOSQiIiItSTJjYWxjX3RyYW5zZmVyX21hZ0dGKDYjOSVGOC1JJHNpbkdGJTYjLCgqJkY8RjhJInRHRihGOEY4OSZGOC1JMmNhbGNfdHJhbnNmZXJfYXJnR0YoRjtGOEY4RihGKEYoNyNGLg==</Equation></Text-field>
</Output>
</Group>
<Group hide-input="false" labelreference="L27" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal">solution1 := calc_transfer_freq_resp(3, 10, 7/12)</Text-field>
</Input>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSpzb2x1dGlvbjFHRigsJComIiZJSiIjIiIiIiIjLUkkc2luR0YlNiMsKEkidEdGKCIjNSMiIigiIzdGMi1JJ2FyY3RhbkdGJTYjIyIldCgqIiUqPichIiJGMiMhI3kiJDAmNyNGLg==</Equation></Text-field>
</Output>
</Group>
<Group hide-input="false" labelreference="L582" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal">solution2 := y(t) = simplify(const_term + solution1)</Text-field>
</Input>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSpzb2x1dGlvbjJHRigvLUkieUdGKDYjSSJ0R0YoLCYhJDslIiIiKiYiJklKIiNGNSIiIy1JJHNpbkdGJTYjLChGMiIjNSMiIigiIzdGNS1JJ2FyY3RhbkdGJTYjIyIldCgqIiUqPichIiJGNSMhI3kiJDAmNyNGLg==</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L28" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal">bonus exercise 2</Text-field>
</Input>
</Group>
<Group hide-input="false" labelreference="L29" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal">calc_transfer := (A, b, c, d) -&gt; Transpose(c) . simplify(MatrixInverse(s*IdentityMatrix(Dimension(A)) - A)) . b + d</Text-field>
</Input>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SS5jYWxjX3RyYW5zZmVyR0YoZio2JkkiQUdGKEkiYkdGKEkiY0dGKEkiZEdGKEYoNiRJKW9wZXJhdG9yR0YoSSZhcnJvd0dGKEYoLCYtSSIuR0YlNiUtX0kuTGluZWFyQWxnZWJyYUdGJUkqVHJhbnNwb3NlR0YoNiM5Ji1JKXNpbXBsaWZ5R0YlNiMtX0Y9SS5NYXRyaXhJbnZlcnNlR0YoNiMsJiomSSJzR0YoIiIiLV9GPUkvSWRlbnRpdHlNYXRyaXhHRig2Iy1fRj1JKkRpbWVuc2lvbkdGKDYjOSRGS0ZLRlQhIiI5JUZLOSdGS0YoRihGKDcjRi4=</Equation></Text-field>
</Output>
</Group>
<Group hide-input="false" labelreference="L30" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal">A := &lt;&lt;8, -1, 6, -9&gt;|&lt;-3, 0, -5, 8&gt;|&lt;6, -2, -2, 3&gt;|&lt;2, -7, -8, -4&gt;&gt;</Text-field>
</Input>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">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</Equation></Text-field>
</Output>
</Group>
<Group hide-input="false" labelreference="L31" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal">b := &lt;-6, -2, 6, -3&gt;</Text-field>
</Input>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSJiR0YoLUknUlRBQkxFR0YoNiUiNV89I1trZiJHTypvJC1JJ01BVFJJWEdGKDYjNyY3Iy1JI21uRzYkRiYvSSttb2R1bGVuYW1lR0YoRiQ2I1ErJnVtaW51czA7NkYoNyMtRjg2I1ErJnVtaW51czA7MkYoNyMtRjg2I1EiNkYoNyMtRjg2I1ErJnVtaW51czA7M0YoJkknVmVjdG9yR0YlNiNJJ2NvbHVtbkdGKDcjLUZKNiMvSSQlaWRHRihGMQ==</Equation></Text-field>
</Output>
</Group>
<Group hide-input="false" labelreference="L36" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal">c := &lt;-1, -2, -1, -5&gt;</Text-field>
</Input>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSJjR0YoLUknUlRBQkxFR0YoNiUiNSNIQltrZiJHTypvJC1JJ01BVFJJWEdGKDYjNyY3Iy1JI21uRzYkRiYvSSttb2R1bGVuYW1lR0YoRiQ2I1ErJnVtaW51czA7MUYoNyMtRjg2I1ErJnVtaW51czA7MkYoRjY3Iy1GODYjUSsmdW1pbnVzMDs1RigmSSdWZWN0b3JHRiU2I0knY29sdW1uR0YoNyMtRkY2Iy9JJCVpZEdGKEYx</Equation></Text-field>
</Output>
</Group>
<Group hide-input="false" labelreference="L32" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal">d := 9</Text-field>
</Input>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEiZEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RKSZBc3NpZ247RicvRjNRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y9LyUpc3RyZXRjaHlHRj0vJSpzeW1tZXRyaWNHRj0vJShsYXJnZW9wR0Y9LyUubW92YWJsZWxpbWl0c0dGPS8lJ2FjY2VudEdGPS8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRkwtSSNtbkdGJDYkUSI5RidGOUY5">LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSJkR0YoIiIqNyNGLg==</Equation></Text-field>
</Output>
</Group>
<Group hide-input="false" labelreference="L33" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal">simplify(calc_transfer(A, b, c, d))</Text-field>
</Input>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">KigsLCokSSJzRzYiIiIlIiIqKiRGJSIiJCIiIiokRiUiIiMhJCwkRiUhJVojKSEmV0siRitGKywqRilGK0YsISIjRiVGKCElUzdGKyEiIkYlRjQ=</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L34" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal"></Text-field>
</Input>
</Group>
<Group labelreference="L37" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" layout="Normal">bonus exercise 3</Text-field>
</Input>
</Group>
<Group hide-input="false" labelreference="L90" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal">lin_term := (omega) -&gt; 1 + s/omega</Text-field>
</Input>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSlsaW5fdGVybUdGKGYqNiNJJm9tZWdhR0YoRig2JEkpb3BlcmF0b3JHRihJJmFycm93R0YoRigsJiIiIkY1KiZJInNHRihGNTkkISIiRjVGKEYoRig3I0Yu</Equation></Text-field>
</Output>
</Group>
<Group hide-input="false" labelreference="L78" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal">quad_term := (omega, xi) -&gt; 1 + 2*xi*s/omega + s^2/omega^2</Text-field>
</Input>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSpxdWFkX3Rlcm1HRihmKjYkSSZvbWVnYUdGKEkjeGlHRihGKDYkSSlvcGVyYXRvckdGKEkmYXJyb3dHRihGKCwoIiIiRjYqKDklRjZJInNHRihGNjkkISIiIiIjKiZGOUY8RjohIiNGNkYoRihGKDcjRi4=</Equation></Text-field>
</Output>
</Group>
<Group hide-input="false" labelreference="L541" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal">transfer2 := 0.1 * lin_term(7*10^(-3)) / quad_term(6*10^(-1), 5*10^(-1)) / lin_term(5*10^4)</Text-field>
</Input>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSp0cmFuc2ZlcjJHRigsJCooLCYiIiJGMUkic0dGKCMiJSs1IiIoRjEsKEYxRjFGMiMiIiYiIiQqJEYyIiIjIyIjRCIiKiEiIiwmRjFGMUYyI0YxIiYrKyZGPyRGMUY/NyNGLg==</Equation></Text-field>
</Output>
</Group>
<Group hide-input="false" labelreference="L38" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal">sys := TransferFunction(transfer2):</Text-field>
</Input>
</Group>
<Group hide-input="false" labelreference="L503" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal">eval_mag := Omega -&gt; 20*log[10](abs(eval(eval(transfer2, s=I*omega), omega=Omega))):</Text-field>
</Input>
</Group>
<Group hide-input="false" labelreference="L505" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal">eval_arg := Omega -&gt; argument(eval(eval(transfer2, s=I*omega), omega=Omega))/Pi*180:</Text-field>
</Input>
</Group>
<Group hide-input="false" labelreference="L504" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal">eval_mag(7*10^(-3)), eval_arg(7*10^(-3))</Text-field>
</Input>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbW5HRiQ2JFE1JnVtaW51czA7MTYuOTg5MTA4OTZGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRictSSNtb0dGJDYtUSgmY29tbWE7RidGLy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdRJXRydWVGJy8lKXN0cmV0Y2h5R0Y4LyUqc3ltbWV0cmljR0Y4LyUobGFyZ2VvcEdGOC8lLm1vdmFibGVsaW1pdHNHRjgvJSdhY2NlbnRHRjgvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR1EsMC4zMzMzMzMzZW1GJy1GLDYkUSw0NC4zMzE0ODA1OEYnRi9GLw==">NiQkISsnKjMiKilwIiEiKSQiK2UhW0pWJUYl</Equation></Text-field>
</Output>
</Group>
<Group hide-input="false" labelreference="L576" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal">eval_mag(10^(-1)), eval_arg(10^(-1))</Text-field>
</Input>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbW5HRiQ2JFEsMy4yMzgxNjY4MDhGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRictSSNtb0dGJDYtUSgmY29tbWE7RidGLy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdRJXRydWVGJy8lKXN0cmV0Y2h5R0Y4LyUqc3ltbWV0cmljR0Y4LyUobGFyZ2VvcEdGOC8lLm1vdmFibGVsaW1pdHNHRjgvJSdhY2NlbnRHRjgvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR1EsMC4zMzMzMzMzZW1GJy1GLDYkUSw3Ni4yNjgxMzM5MEYnRi9GLw==">NiQkIiszbztRSyEiKiQiKyFSOG9pKCEiKQ==</Equation></Text-field>
</Output>
</Group>
<Group hide-input="false" labelreference="L506" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal">eval_mag(1), eval_arg(1)</Text-field>
</Input>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbW5HRiQ2JFEsMTUuMzYxNjUxNDJGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRictSSNtb0dGJDYtUSgmY29tbWE7RidGLy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdRJXRydWVGJy8lKXN0cmV0Y2h5R0Y4LyUqc3ltbWV0cmljR0Y4LyUobGFyZ2VvcEdGOC8lLm1vdmFibGVsaW1pdHNHRjgvJSdhY2NlbnRHRjgvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR1EsMC4zMzMzMzMzZW1GJy1GLDYkUTUmdW1pbnVzMDs0Ny4yNDk4MjAwN0YnRi9GLw==">NiQkIitVXjtPOiEiKSQhKzI/KVxzJUYl</Equation></Text-field>
</Output>
</Group>
<Group hide-input="false" labelreference="L564" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal">eval_mag(10^5), eval_arg(10^5)</Text-field>
</Input>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbW5HRiQ2JFE1JnVtaW51czA7OTIuNzY1NjEwODJGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRictSSNtb0dGJDYtUSgmY29tbWE7RidGLy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdRJXRydWVGJy8lKXN0cmV0Y2h5R0Y4LyUqc3ltbWV0cmljR0Y4LyUobGFyZ2VvcEdGOC8lLm1vdmFibGVsaW1pdHNHRjgvJSdhY2NlbnRHRjgvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR1EsMC4zMzMzMzMzZW1GJy1GLDYkUTUmdW1pbnVzMDsxNTMuNDM0NjA5MUYnRi9GLw==">NiQkISsjM2hsRiohIikkISsiNFlWYCIhIig=</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L42" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal">BodePlot(sys)</Text-field>
</Input>
<Output><Text-field style="Maple Plot" layout="Maple Plot"><Table visible="true" editable="true" exterior="all" pagebreak="row" showlabel="true" plotalignlists="ALL" hiddenborderdisplay="worksheet" interior="group" postexecute="insert" drawcaption="false" width="100%" captionalignment="0" showinput="true" captionposition="1" id="Table0" alignment="left" randomized="false" labelreference="L615" showgroup="true" order="row"><Table-Column weight="100" separator="true"></Table-Column><Table-Row align="top" separator="true"><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Plot height="-1.0" type="two-dimensional" width="-1.0" plot-scale="1.0" plot-xtrans="0.0" plot-ytrans="0.0" gridlinevisibility="7" 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