Complex Mathematical Equation with Variables and Constants - Prof. Clyde P. Kruskal, Study Guides, Projects, Research of Computer Architecture and Organization

A complex mathematical equation involving various variables and constants. The equation includes arithmetic, multiplication, and exponentiation operations. It is written in a compact form using various mathematical symbols and operators. Understanding this equation requires a solid foundation in algebra and calculus.

Typology: Study Guides, Projects, Research

Pre 2010

Uploaded on 07/30/2009

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๎˜€๎˜‚๎˜๎˜„๎˜ƒ๎˜…๎˜ƒ๎˜‡๎˜†๎˜‰๎˜ˆ๎˜„๎˜ˆ๎˜‹๎˜Š ๎˜Œ๎˜Ž๎˜๎˜๎˜๎˜‡๎˜Œ๎˜’๎˜‘๎˜”๎˜“๎˜•๎˜“๎˜•๎˜–๎˜˜๎˜—๎˜š๎˜™๎˜œ๎˜›๎˜ž๎˜ ๎˜Ÿ"!๎˜‹#$๎˜“ %'&)(๎˜‚*,+๎˜‰๎˜๎˜„๎˜ƒ-๎˜๎˜„.๎˜‚/103254๎˜‹๎˜ƒ๎˜….๎˜•67+
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JK4๎˜‹(L๎˜๎˜‰&M:N=,4๎˜ŽOP&Q6๎˜…=,:N๎˜๎˜ŽRTSU4๎˜„&VRNW๎˜šW๎˜šXZY๎˜•&M4๎˜„[๎˜„&Q๎˜๎˜„\]=,4^/;:@=,:@&Q\_6๎˜….;:P=M`;:a/๎˜‚6๎˜…*,=M๎˜๎˜„.๎˜•25:NbU&M4๎˜‹\c0;d๎˜‡eafZdg=,4^๎˜€๎˜‡hjiAh,03k
6๎˜….L๎˜^\l๎˜๎˜‰m@:๎˜„HndP`๎˜‚:a\l๎˜๎˜‰m@:๎˜š6o*G4๎˜‹.p๎˜๎˜„.Lqsr_tu[๎˜„&Q6๎˜…/vSUON`๎˜‚:@&M:9qvw,tyxzC@๎˜ˆ๎˜‹๎˜†๎˜œ{"X)H|0๎˜ž4๎˜‹\l:a[๎˜„&)6๎˜…/}Y~4๎˜‹6o.๎™ฟ=M*๎š€๎˜๎˜‰&M:'O|๎˜๎˜„๎˜ƒ๎˜…๎˜ƒ๎˜…*@B
ON`๎˜‚6o2Q`y๎˜๎˜‰&M:_&M:@Y๎˜‚&M:๎š*,:๎š."=,:๎š/y>๎˜ž๎š‚v๎˜v๎šƒ๎˜…C๎˜‰๎šƒ7HLdP`;:๎š„4๎˜„=M`;:@&๎˜Ž[๎˜„&Q6๎˜…/๎š…Y?4๎˜‹6๎˜…."=M*๎˜š๎˜๎˜‰&M:l4๎˜„Y?:๎š.๎š†*,Y๎˜•๎˜๎˜„25:l=M`๎˜‚๎˜๎˜‰=๎š‡2@๎˜๎˜„.I>?:l\๎š„4๎š‰๎šˆ๎˜„:๎š/
4๎˜‹."=,4;B๎˜žOA`๎˜‚6๎˜…2Q`}๎˜๎˜‰&M:A&M:@Y๎˜‚&M:๎š*,:๎š."=,:๎š/}>"๎š‚l๎˜๎šŠ๎šƒ๎š‹๎˜ˆ3๎šƒ7Hn896๎˜…*,=M๎˜๎˜„.๎˜•25:a6๎˜…*G\๎š„:๎š๎˜๎˜„*M(;&Q:๎š/_>๎˜ž๎š‚l\๎š„4 ๎šˆ36๎˜….;[๎š‡4๎˜‹.;:a[๎˜„&Q6๎˜…/_*MY๎˜•๎˜๎˜„25:a.๎˜‚4๎˜„&M=M`-B
*,4๎˜‹(;=M`๎˜”B๎˜”:๎š๎˜๎˜„*,=@B๎šŒ4๎˜„&'O๎š€:๎š*,=@Hl๎š|(;='๎š‚๎˜„4๎˜‹(y๎˜๎˜‰&Q:l.;4๎˜„=๎˜š๎˜๎˜„๎˜ƒ๎˜…๎˜ƒ74๎š‰OG:๎š/v=,4๎šŽ\l4 ๎šˆ๎˜„:_6๎˜…."=,4ISU4๎˜„&๎˜š=M`;&Q4๎˜‹(;[๎˜‹`๎šXA๎˜pO|๎˜๎˜„๎˜ƒ๎˜…๎˜ƒ๎šH๎˜šJK4๎˜‹(๎š†2@๎˜๎˜„.
๎˜๎˜„*M*M(๎˜•\๎š„:'=M`;:@&M:๎˜˜6o*V๎˜๎š„Y๎˜•๎˜๎˜‰=M`pbU&M4๎˜‹\๎š‘03dDeafDdz=,4_๎˜€Dh๎š’iAh,0;k๎˜˜H
hjiAEG๎š“Ad'๎š”
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.๎˜ž(๎˜‚\๎š‡>?:@&Q*@HpdP`;:l๎š›๎˜•&Q*,=๎˜˜.๎˜ž(๎˜‚\๎š‡>~:@&๎š‡6๎˜….I๎˜$&M4 O๎šœON6๎˜…๎˜ƒ๎˜…๎˜ƒ๎š˜&Q:@Y๎˜‚&M:๎š*,:๎š."=๎˜š=M`;:๎šŠ๎š›๎˜‚&Q*,=๎š‡๎˜Š๎˜„๎˜†$>๎˜•67=M*๎˜š4๎˜„bV=M`;:_&M4๎š‰O๎˜šBZ=M`;:
*M:๎š254๎˜‹.๎˜‚/$.๎˜ž(๎˜‚\๎š‡>~:@&VOA6๎˜…๎˜ƒ๎˜…๎˜ƒ๎š&M:@Y๎˜‚&M:๎š*,:๎š."=P=M`;:๎˜š*M:๎š254๎˜‹.๎˜‚/1๎˜Š๎˜„๎˜†^>๎š67=M*@B;:@=M2๎˜‰H๎š˜JK4๎˜‹(12@๎˜๎˜„.$๎˜๎˜„*M*M(๎˜•\๎š„:๎˜˜๎˜Š๎˜„๎˜†๎˜‚๎š t๎š˜H
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>๎š67=M*P๎˜๎˜‰&M:๎š„๎šƒ๎š‹๎˜ˆ3๎šƒ7HGh๎šž=P67=V&Q:@Y๎˜‚&M:๎š*,:๎š."=,:๎š/๎šŽ=M`;:๎˜š*Q๎˜๎˜„\๎š„:๎˜šO|๎˜๎š๎š‚p๎˜๎˜„*AF1e9๎š–-๎š—PH
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>๎š67=M*P๎˜๎˜‰&M:๎š„๎šƒ๎š‹๎˜ˆ3๎šƒ7HGh๎šž=P67=V&Q:@Y๎˜‚&M:๎š*,:๎š."=,:๎š/๎šŽ=M`;:๎˜š*Q๎˜๎˜„\๎š„:๎˜šO|๎˜๎š๎š‚p๎˜๎˜„*AF1e9๎š–-๎š—PH
S๎šF1e9๎š–?๎š—NB~03dDeAfZd'B๎˜‚๎˜๎˜„.๎˜•/๎šŽ๎˜€Dh๎š’iAh,0;kT*M`๎˜‚4๎˜‹(๎˜‚๎˜ƒ๎˜…/}:๎š๎˜๎˜„2Q`u(๎˜‚*,:'qpt๎˜‡๎š ๎˜‰๎˜Š๎˜„๎˜†^O๎š€4๎˜„&Q/๎˜‚*P4๎˜„bZ\l:๎š\๎š„4๎˜„&M๎š‚๎˜„HยกX
eaยขDยฃ๎˜š<9fNh๎š’dNkaFI๎š”
C๎˜‰H'ยค En&M43/๎˜‚(๎˜‚25:๎š€=M`;:๎š€254๎˜‹\lY๎˜•๎˜ƒ7:๎š\๎š„:๎š."=Z4๎˜„b๎šF$e'๎š–?๎š—Nยฅ๎š‰=M`๎˜‚6o*๎˜‡6๎˜…*D=M`;:P<9EG๎š—nig*,Y๎š๎˜๎˜„25:G=M`๎˜‚๎˜๎˜‰=๎š˜2@๎˜๎˜„.๎˜Ž>?:๎š€\l4 ๎šˆ๎˜„:๎š/^4๎˜‹."=,4;Hยงยฆ
<'En๎š—niยฉยจยช.;4๎˜„=aF$e'๎š–?๎š—PH
๎˜†๎˜žHNi'<Pยซ ยจยฌ03dDeAfZd'ยฅ RN<9๎š“AiadP๎š—GfTยจ๎šญ๎˜ˆ3ยฅ
๎˜Š๎˜žH'ยค๎˜œRV`;:๎š2M+p67bZ๎˜๎˜‰&M&Q67๎šˆ๎˜„:๎š/p๎˜๎˜‰=A๎˜€๎˜‡hjiAh,03k๎š‡Hยงยฆ
h๎š’bZi9<Pยซ ยฎยฉ๎˜€Dh๎š’iAh,0;k๎š‘ยฏ
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ยฒ
H'ยค ๎˜€Z6๎˜….๎˜•/v.;:@O]๎˜ƒ7432@๎˜๎˜‰=M674๎˜‹.๎˜‚*'๎š‚๎˜„4๎˜‹(y2@๎˜๎˜„.y&M:๎š๎˜๎˜„2Q`-๎š”๎š‡๎˜€;4๎˜„&๎˜š:@๎šˆ๎˜„:@&M๎š‚ยณ๎šƒ๎˜…C๎˜‰๎šƒ๎˜”>๎˜•6๎˜…=a6๎˜….vi'<Pยซ 254๎˜„Y๎˜ž๎š‚๎š…67='.;4๎˜„&M=M`-B๎šŒ*M4๎˜‹(;=M`-B
:๎š๎˜๎˜„*M=@B๎˜‡๎˜๎˜„.๎˜‚/๎š…O๎š€:๎š*,=๎˜˜6๎˜…."=,4piA๎š—nยซ i'<VยซยดH๎š„8a4๎šŽ=M`๎˜‚6๎˜…*9(๎˜‚*M6o.;[L>๎˜•67=a4๎˜„Y~:@&)๎˜๎˜‰=M674๎˜‹.๎˜‚*94๎˜‹.vO๎š€4๎˜„&Q/๎˜‚*@H^๎š๎š€:_2@๎˜๎˜‰&M:@bยต(๎˜‚๎˜ƒ
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ยถ
H'ยค๎š‰F1๎˜๎˜‰+๎˜„:^*M(;&M:9๎š‚๎˜„4๎˜‹($/๎˜‚4l.;4๎˜„=PO|๎˜๎˜„๎˜ƒ7+}6o.๎™ฟ=,4l๎˜๎š„O|๎˜๎˜„๎˜ƒ๎˜…๎˜ƒ๎šHยงยฆ
i'<Pยซ ยจยทiA๎š—nยซ i'<Vยซ ยฎ๎˜<9EG๎š—ni๎š‡ยฅ
ยธ"Haยฃ94l=,4_*,=,:@Y๎š…๎˜Š๎˜žยฅ
03๎˜๎˜„\lY๎˜•๎˜ƒ7:๎š˜6๎˜….;Y๎˜•(๎˜‚=~๎š›๎š๎˜ƒ7:๎š*?ON6๎˜…๎˜ƒ๎˜…๎˜ƒ๎š‰>?:๎š˜Y๎˜‚&M4๎š‰๎šˆ๎˜ž6๎˜…/๎˜‚:๎š/'6๎˜….9=M`;:๎š˜Y?4๎˜‹*,=M6๎˜….;[V๎˜๎˜„2@254๎˜‹(๎˜‚."=๎˜‡/๎˜•67&M:๎š25=,4๎˜„&M๎š‚ยณ*M*Q๎˜Š3C๎˜„C@๎˜ˆ๎˜„๎˜ˆ;C ยน๎˜œEn&M4๎˜œยบj:๎š25=M*ยปยน๎˜œENC๎˜‰H

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8 9(;:<925=,4>?:@&ABDCC@EGFIH

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