Complex Mathematical Equation with Unknown Variables - Prof. Clyde P. Kruskal, Assignments of Algorithms and Programming

A complex mathematical equation with various symbols and operators. The equation involves multiple variables, some of which are unknown. It appears to be a combination of algebraic and trigonometric functions. The purpose of the equation is unclear without additional context.

Typology: Assignments

Pre 2010

Uploaded on 07/30/2009

koofers-user-ot5-2
koofers-user-ot5-2 ๐Ÿ‡บ๐Ÿ‡ธ

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๎˜€๎˜‚๎˜๎˜„๎˜ƒ๎˜…๎˜ƒ๎˜‡๎˜†๎˜‰๎˜ˆ๎˜„๎˜ˆ๎˜‰๎˜Š ๎˜‹๎˜๎˜Œ๎˜๎˜Ž๎˜‡๎˜‹๎˜‘๎˜๎˜“๎˜’๎˜•๎˜”๎˜—๎˜–๎˜™๎˜˜๎˜›๎˜š๎˜“๎˜œ๎˜ž๎˜ ๎˜Ÿ!๎˜š๎˜—"$#&% '(๎˜ƒ*),+.-0/0132๎˜‚465$๎˜๎˜„๎˜ƒ
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OP"$๎˜š๎˜—QARS๎˜T๎˜œ ๎˜”๎˜‚U๎˜™'V>XW๎˜—46Y๎˜…+.-B1Z๎˜๎˜„W[๎˜๎˜‰1613๎˜\)]>๎˜„?^46Y๎˜…_B-`-\Y๎˜…aX<b:dcDY*:6<e:6<.-&WT2๎˜‚f9JK-B134dY๎˜…W]:6<.-&?S>X๎˜ƒ๎˜…๎˜ƒ*>EcLY๎˜…W.ag>๎˜„1h+.-B1
๎˜ŠX๎˜ˆ,i3๎˜†๎˜‰๎˜ˆ,i3j๎˜‰๎˜ˆ,i3k๎˜‰๎˜ˆ,i3l๎˜‰๎˜ˆ,imMB๎˜ˆ.ihn๎˜‰๎˜ˆ,i3o๎˜„๎˜ˆ,N
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๎˜bqsrt<๎˜‚๎˜๎˜‰:AY๎˜…4u:6<๎˜‚-v๎˜๎˜‰1613๎˜E)9๎˜๎˜‰?S:=-B1w<.-\๎˜๎˜‰x๎˜?S>๎˜„13fy๎˜๎˜‰:6Y*>XW
p{zV|L}๎™ฟ~
7L๎š€๎š‚๎šL๎šƒv๎š„L๎š…(q=๎š†๎š‡๎šL>Ec๎šˆfy๎˜๎˜„W )P@I>Xf๎š‰x๎˜—๎˜๎˜‰13Y๎šŠ4=>XW๎˜‚4
+๎˜‚> -\4๎š‡:6<๎˜‚-94=:6๎˜๎˜„W๎˜‚+๎˜‚๎˜๎˜‰1h+๎š‹๎˜๎˜„๎˜ƒ*a๎˜„>๎˜„13Y*:6<๎˜‚f๎šŒ2๎˜‚4=-m๎š†
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J๎˜“q๎š‹๎š,:6๎˜๎˜‰16:6Y๎˜…W.a๎š‰cDY๎˜…:6<^:6<๎˜‚-P<.-\๎˜๎˜‰xuF๎˜‚46<.>mc๎šŽ:6<.-P๎˜๎˜‰161h๎˜\)๎š๎˜๎˜‰?๎š:=-B1L-\๎˜๎˜„@3<๎š‘-\๎˜ƒ๎˜…-\f๎š‰-\Wb:;43Y*?๎š:64๎š‡+๎˜‚>EcDW๎š‹+๎˜‚2๎˜‚13Y๎˜…W.a๎˜:6<.-
13-\fy๎˜๎˜„Y๎˜…W๎˜‚+.-B1V>๎˜„?๎˜‡<๎˜‚-\๎˜๎˜‰x๎˜—4=>๎˜„16:BN๎š’๎šL>Ec๎šŽfy๎˜๎˜„W )๎š“@I>Xf๎š‰xH๎˜๎˜‰13Y๎˜…4=>XW๎˜‚4(+.>T-\4V:6<.-84=:6๎˜๎˜„W๎˜‚+๎˜‚๎˜๎˜‰13+๎š๎˜๎˜„๎˜ƒ*a๎˜„>๎˜„1hY*:6<๎˜‚f๎š”2๎˜‚4=-
?S>๎˜„1;-\๎˜๎˜„@h<๎š•46Y๎˜…?๎š:h๎š†๎š‘r๎š–<๎˜—๎˜๎˜‰:DY๎˜…4(:6<.-P:=>๎˜„:6๎˜๎˜„๎˜ƒ๎˜‡W 2๎˜—f9JK-B1๎š‡>๎˜„?A@I>Xf๎š‰x๎˜—๎˜๎˜‰13Y๎˜…46>XW๎˜‚4๎š‡?S>๎˜„1D๎˜๎˜„๎˜ƒ๎˜…๎˜ƒK>๎˜„?A:6<.-P46Y*?S:64h๎š†
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@Eq๎š๎šL>Ec๎š—fy๎˜๎˜„W )๎š˜@I>Xf๎š‰x๎˜—๎˜๎˜‰1hY๎˜…4=>XW๎˜‚4๎š‰+.>T-\4!:6<.-๎š‘f๎š‰>,+๎˜‚Y*๎š™๎˜—-\+๎š˜๎˜๎˜„๎˜ƒ*a๎˜„>๎˜„1hY*:6<๎˜‚f
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๎˜€A๎˜ƒ*>E),+๎˜•๎šš๎š›4๎š‰๎šœ๎˜„-B1h46Y*>XWHq๎˜™2๎˜‚4=-๎š?S>๎˜„1
<๎˜‚-\๎˜๎˜‰x๎š‘?๎š>๎˜„1hfy๎˜๎˜‰:6Y*>XW
p{z(|L}๎š~
7D๎š€๎š‚๎š๎šž๎šƒ๎šŸ๎š„๎šž๎š…Vq=๎š†
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๎˜๎˜„๎˜ƒ๎˜…a๎˜„>๎˜„13Y*:6<๎˜‚f
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๎˜€A๎˜ƒ*>m)T+u๎šš๎š›4๎š‡๎šœ๎˜„-B1346Y*>XW๎˜“q(2๎˜‚4=-\4๎š‡?S>๎˜„1;:6<.-013-\fy๎˜๎˜„Y๎˜…W๎˜‚+.-B1๎š‡>๎˜„?๎š <.-\๎˜๎˜‰xH4=>๎˜„16:BN
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@h<๎˜‚Y๎˜…๎˜ƒ๎˜…+๎˜‚16-\W๎˜•N
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๎˜bq๎š๎šL>Ec]cv>X2๎˜—๎˜ƒ๎˜…+๎š)๎˜„>X2๎š‘16-Bx๎˜—16-\4=-\W :D๎˜๎š‰ยฃ๎˜„๎š€๎š‚๎˜๎˜‰16)๎š‹<.-\๎˜๎˜‰xZY๎˜…W๎š‹๎˜๎˜„W๎š‘๎˜๎˜‰161h๎˜\)๎˜‚๎š†
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@Eq๎š๎šƒ๎š’ยงTxH๎˜ƒ๎˜…๎˜๎˜„Y๎˜…WP๎˜ƒ*>T>X4=-\๎˜ƒ*)
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JH2.:๎˜‡@B๎˜ƒ*-\๎˜๎˜‰1h๎˜ƒ*).qu<.>Ec`:=>๎šž-IยงT:=13๎˜๎˜„@I:A:6<.-Vfy๎˜$ยง.Y๎˜…f๎˜™2๎˜—f๎šŽ-\๎˜ƒ*-\f๎š‰-\W :w?๎š16>Xf]:6<.-Vยฃ๎˜„๎š€๎š‚๎˜๎˜‰16)
<๎˜‚-\๎˜๎˜‰x
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๎˜๎˜„W๎˜‚+๎š‘13-\4=:=>๎˜„16-P:6<.-P<๎˜‚-\๎˜๎˜‰x๎˜“qhN๎šŸ๎šL>Ec]f๎š“๎˜๎˜„Wb)๎š‹@I>Xf๎š‰x๎˜—๎˜๎˜‰1hY๎˜…4=>XW๎˜‚4๎š‡+.>T-\4;Y*:๎š‡13-\ยจ 2๎˜‚Y๎˜…16-m๎š†
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JH2.:;46<.>mc๎šŽ)๎˜„>X2.1L@B๎˜๎˜„๎˜ƒ๎šŠ@B2๎˜‚๎˜ƒ๎˜…๎˜๎˜‰:6Y*>XW๎˜‚4\N
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OP"$๎˜š๎˜—QARS๎˜T๎˜œ๎šญ๎˜๎˜•UP๎š„๎šž46462๎˜‚fy-๎šž)๎˜„>X2๎˜›๎˜๎˜‰16-0aXY*๎šœ๎˜„-\W๎š‹๎˜๎š‹ยฎ6ยฏIยฐ๎˜„ยฏIยฎhยฑBยฏ๎š‡<๎˜‚-\๎˜๎˜‰x๎š‹>๎˜„?w46Y๎˜…_B-๎šžยฅ
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cL<.-B16-8:6<.-P46fy๎˜๎˜„๎˜ƒ๎šŠ๎˜ƒ*-\4=:(-\๎˜ƒ*-\f๎š‰-\W :;Y๎˜…4
>XW๎š‘:=>๎˜„x๎˜“qV4=:=>๎˜„16-\+๎š‘Y๎šŠWs๎˜๎˜„W๎˜›๎˜๎˜‰1613๎˜\)๎šY๎˜…Ws:6<.-P4=:6๎˜๎˜„W๎˜—+๎˜‚๎˜๎˜‰13+๎šc(๎˜\)๎˜„F๎˜—๎˜๎˜„W๎˜‚+๎š‘)๎˜„>X2๎š‘๎˜๎˜‰16-P๎˜๎˜„๎˜ƒ๎˜…4=>!aXY*๎šœ๎˜„-\W๎˜›๎˜!16-\๎˜๎˜„๎˜ƒ๎˜•W 2๎˜—f9JK-B1
ยฒ
N๎š“7๎šž-\46Y*aXWยฆ๎˜๎˜„W๎˜ž๎˜๎˜„๎˜ƒ*a๎˜„>๎˜„13Y*:6<๎˜‚fยณ:=>๎˜›+.-B:=-B13fyY๎šŠW.-!cD<.-B:6<.-B1P:6<๎˜‚-^ยดT:6<ยฆ46fy๎˜๎˜„๎˜ƒ๎šŠ๎˜ƒ*-\4=:0-\๎˜ƒ*-\f๎š‰-\W :PY๎˜…Wยต:6<๎˜‚-y<.-\๎˜๎˜‰x
Y๎šŠ4L๎˜ƒ*-\434L:6<๎˜—๎˜๎˜„W๎˜›>๎˜„18-\ยจT2๎˜‚๎˜๎˜„๎˜ƒw:=>
ยฒ
N8CD<.-9cV>๎˜„134=:๎™ฟ๎š€๎š‚@B๎˜๎˜„4=-๎š‰1h2๎˜‚W๎˜‚W๎˜‚Y๎˜…W๎˜‚a๎š‰:6Y๎˜…f๎š‰-๎˜>๎˜„?๎š’)๎˜„>X2.10๎˜๎˜„๎˜ƒ*a๎˜„>๎˜„13Y*:6<๎˜—f๎˜‘46<๎˜‚>X2๎˜‚๎˜ƒ๎˜…+๎š‘JK-
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ยด๎˜‚qhFwY๎šŠW๎˜‚+.-BxK-\W๎˜‚+.-\W :L>๎˜„?(:6<.-^46Y*_B-๎š‰>๎˜„?(:6<.-y<.-\๎˜๎˜‰xuN^ยทD>๎˜„:6Y๎˜…@I-^:6<๎˜‚๎˜๎˜‰:P)๎˜„>X2๎š˜+.>๎š‘W.>๎˜„:9<๎˜‚๎˜E๎šœ๎˜„-๎š“:=>๎š‘๎š™HW๎˜‚+d:6<.-
ยดT:6<๎š•46fy๎˜๎˜„๎˜ƒ๎˜…๎˜ƒ๎˜…-\4=:(-\๎˜ƒ*-\f๎š‰-\W :Bยธ๎˜‚)๎˜„>X2๎˜›W.-B-\+๎š‘>XW๎˜‚๎˜ƒ*)๎š+.-B:=-B13fyY๎˜…W๎˜‚-8Y๎˜…:64๎š‡16-\๎˜ƒ๎˜…๎˜๎˜‰:6Y*>XW๎˜—46<๎˜‚Y*x๎š:=>
ยฒ
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ยน๎š’>X2dยบ!ยปTยฑยฌยผ๎˜“-Iยง,x๎˜—๎˜ƒ๎˜…๎˜๎˜„Y๎˜…W^)๎˜„>X2.1๎š‡๎˜๎˜„๎˜ƒ*a๎˜„>๎˜„13Y๎˜…:6<๎˜‚f
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J๎˜‚13Y*-Bยฝ๎˜‚)y๎˜๎˜„W๎˜—+s@B๎˜ƒ๎˜…-\๎˜๎˜‰13๎˜ƒ*)๎˜‚q๎š’Y๎˜…Ws๎šƒ๎šŸW๎˜‚aX๎˜ƒ๎˜…Y๎˜…46<๎˜•N๎˜‡ยน๎š’>X2๎š‹+.>!W.>๎˜„:๎š‡W.-B-\+s:=>
aXY๎˜…๎šœ๎˜„-9@I>T+๎˜‚-๎˜„N

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Download Complex Mathematical Equation with Unknown Variables - Prof. Clyde P. Kruskal and more Assignments Algorithms and Programming in PDF only on Docsity!

7 82.-9 :;:6<-94=:6 1 6:;>?A@B464DC;< 2 1346+E)FHG8@I:=>JK-B1L,M F  .N

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