Docsity
Docsity

Prepare for your exams
Prepare for your exams

Study with the several resources on Docsity


Earn points to download
Earn points to download

Earn points by helping other students or get them with a premium plan


Guidelines and tips
Guidelines and tips

Complex Mathematical Equation with Greek Symbols and Subscripts, Exams of Data Structures and Algorithms

A complex mathematical equation involving greek symbols and subscripts. The equation appears to include variables with superscripts and subscripts, as well as mathematical operations such as multiplication, division, and exponentiation. It is unclear from the document alone what the specific meaning or context of the equation is, but it may be related to advanced mathematics or physics.

Typology: Exams

Pre 2010

Uploaded on 03/11/2009

koofers-user-wvc-1
koofers-user-wvc-1 🇺🇸

10 documents

1 / 5

Toggle sidebar

Related documents


Partial preview of the text

Download Complex Mathematical Equation with Greek Symbols and Subscripts and more Exams Data Structures and Algorithms in PDF only on Docsity!

 

 

 "!$#&%(')%(#+*,%(-.0/12'435%(-&#+7698;:

<12'=%2>

.?')127@A>

B

C *,62DE%(-GFIH$JK2L2L9M

NPORQTSVUXWZY[]O^Y\S_acbRU+SedAQgf\hiSXjkEY\lmOGcbRU+SedAQgf\hnSodmYqpAdrSVf(hsYthRU+uwv^Yqx(U\jyz{U&Y\SAU5Yqh^SAu|UXpU&Y\lmO}`cbRU&SodrQ{f(hGf\h}Q{drS~v^Yqx(U\j€f(b [tY,Y(SASAbR[‚UƒI„( R„†ˆ‡Z‰9Š\‹O^Y\S~ŒiU+UXh}Qg[‚vif(pedrU+Žj~NPORUXprU u€Qgz{zŒ2U hRfRU+Zb^ldAQgf\h^S‘’f\p~zgY(lm“af\‘lf([”[‚U+h(drQ{h^x^jNPORU+pAU u€Q{zgzŒ2U h^f ZU&Zb^l•drQ{f(h^SP‘’f(p€zgY(lm“tfq‘$Q{[‚v2f\pAdZQ{prU+ldAQg–\U&SXj$NPORUXprU?u€Qgz{zŽŒ2U?hRf—ZU&Zb^l•drQ{f(h^S|‘’f\p€[‚QghRf\pVSAIhcdrY˜WaUXprpAf(prS+j

™jšœ›ižŸ2 ¢¡9£+¤+¥§¦GUXdAORfZ}¨q©\ªZ‰R„iŠ+ª9«˜¬I9Š+®i‹^Šc¨\„q‰R¯R«|prUdrbRpAhiSdrpAbRU0Q{‘ŽdAORUYqprprY,”lf(h(dmYqQgh^SdAORprUXU~QœdrUX[tS|u€QœdrO—dAO^U~SrYq[‚U~SedrYqdAU\° Yqh^‘¢YqzTSeUf\dAORU+pAu€QTSeU(±

®c‡I²i‹^Šc¨³«,‰R„(‰9Šc¨´²R©I©Z‹c¯I„qªμ¨\©\ªZ‰Z„iŠ&ª9«˜¬c9Š&®i‹^Š(¨\„(‰Z¯R«§¶·q²^ƒI¯^¨,‰ ¸¹ „(I»º ¼ ½ ©(¶¾Š&ªZ‰¿Š)ÀμÁÃÂĊÆŽ „(c|†A‹c¯\ªIÇI‰cÈEÂGŠ˜ÉIÉwº ©(¶¾Š&ªI‰μƒÊÀ»Š)ÉÌˎÂsƒ Åʄ(I|†A‹(¯\ªZÇI‰cÈÂaƒcÉIÉ¿º Š

½

¶}„(I|¸sŠ)¹E†e¯(Í(‡^„Z‹R«¶„(IP¸aƒÊ¹»º;º½ ©(ö´Š+ªZ‰ÊÎÏÀσ;ÉÌˎÂÎwÅʄ(I|†e‹c¯\ªZÇI‰(ÈE—ÎZÉcÉ¿º Š

½

¶n„(cP¸aƒ;¹E†o¯cÍ(‡^„Z‹Z«§¶„(I|¸Î ¹¿º º R¯\‰c‡ZcªÊ‰I(‡^¯ÃÂ

R¯(‰c‡Z(ª

½

„Z‹R«\¯$Â

Ð

ÑY(ҏӳO^YqdVQgSPdrORU5Ô|Q{x\ÕoÖ~OapAb^hRhRQghRx”dAQg[”U?f\‘E¨\©\ªZ‰R„^Š&ª9«˜¬I2Š&®i‹^Šc¨q„\‰R¯Z«\× ÑŒiÒa؈‘Q{ddrY\“\U+SÙ\Ú\Ú(Ú0[”Qgzgz{QTSeU&lf(h^RS$drf5pAUXdAbRprh”‘¢YqzTSeUV‘’f\p ™Ú\Ú\Ú0Q{dAU+[‚S+°IYqvRvRprf,WZQ{[tYqdAUXzg5ORf˜uÆzgf\hRx?u|f\b^zg”Q{ddrY\“\UPdrf5pAUXdAbRprh ‘¢YqzTSAU~‘’f(p ™Ú(Ú Q{dAU+[tSr× Ñl+ÒÛSAQghRx drORU5ÜEf\zgz{U&l•dAQgf\hiSÝyؕ°ZZU+SrlprQ{Œ2U~Y\haY\z{x(f\prQœdrOR[ ÑQ{hkhRx(z{QTSAO°IhRflXfIRU&ÒdAO^Yqd|QTS[‚f(pAU~UÞ—lQgUXhcd|dAO^Y\htdAORU0f\h^U YqŒ2f˜–\U(°ZYqh^vRprf˜–IQgZU~dAO^U?pAbRh^hRQ{h^x‚dAQg[”U?f\‘(f\bRpVY\z{x(f\prQœdrOR[°cu€Q{dAOGY”ŒRprQ{UX‘ißobiSodrQœàil+Y˜drQ{f(hj

™

ájšœ›i”žŸi "¡9£+¤+¥iNPORQTS(b^U+SedAQgf\h prU+cbRQgprU+SŽdrO^Y˜d$\f(b5Qg[”v^z{U+[”U+hcd$SAf[‚U[‚UXdAORfZRS‘’f\p$YlXzgY(SAS§dAOiY˜dprUXv^pAU&SeU+h(dmSY~Zf\b^ŒRz{cՈz{QghR“(U+ z{QTSod&jØâh‚drORQTSE`cbRU&SodrQ{f(h°(ãR¡=äc¡åæ¿ãZç,èiäcç "¤?é¤&äIåê9ë$駣5ãëäIì2 ¢¡æ¿ãZç,èiäcç "¤?ísîtïðé¤&äIå°ISAf?\f\b‚[tY,Y(SASAbR[‚UPà^U+zgRS h^Yq[‚U+²^¯(Ç2Š&ªY\h^¯\ªRñcòR„\IÎR¯(9jŽf\b[tY,Y\SrSAbR[‚UY\hY\vRvRprf\vRprQTY˜dAUZU&lzTYqprU+ahRU+SedAU&alXzgY(SASPóR©cñZ¯^j

ÑY(ҏØâ[‚vRzgUX[‚UXhcd€dAO^U5lf\hiSodrpAb^ldAf(p+j ьiÒaØâ[‚vRzgUX[‚UXhcd€dAO^U?vRpAQg–˜Y˜drU?ORUXzgviU+p€[‚UdAO^fIG„cñIñcô

½

‰R¯(‚Q{hdAO^USAv^Y(lU?SeO^f˜u€haŒ2UXzgf˜u?± ®Z9Š& R„(‰R¯) Z©iŠ˜ñ;„cñIñcô

½

‰R¯(¶·q²^ƒI¯^¨,‰³õöGóZ©cñZ¯÷®ðº ¼

Ð

Ñl+ÒaØâ[‚vRzgUX[‚UXhcd€Œif\dAO„(ñIñcø9Š,i«˜‰”Yqh^„cñIñIùZ„R«˜‰Q{hadAORUSAv^Y\lXU~SAORf˜u€h—Œ2UXzgf˜u?úcŒ2U?lXY\pAUX‘’bRz^drfOiYqh^ZzgU~Y\hI—Sev2U+lXQgY\z2l+Y\SAU+S+j f\b[tY,Y(SASAbR[‚U?lfZZUu€pAQ{dedrUXhŒI—\f(baQghdAORU?v^pAU+–cQgf\biSEviYqpAdPu|f\pr“ZSXj

®I‡I²^‹^Šc¨û R©iŠ,ñ „(ñIñcø9Š,i«˜‰¶·˜²^ƒI¯^¨˜‰Êõ»º ¼

Ð

®I‡I²^‹^Šc¨û R©iŠ,ñ „(ñIñIùZ„^«,‰¶G·q²^ƒc¯^¨˜‰³õ»º ¼

Ð

á

üjšœ›itžŸ2 ¢¡9£&¤X¥9ÝSrSeb^[”UPdrO^Y˜d(f\bO^Y,–\UPY?ƒc„( R„†ˆ‡I‰9Š\‹†âòZ„\®Qgh‚u€ORQTlmO drORU€“\U+ISÃY\pAU|h^Y[”U&S$fq‘9lQ{dAQgU+S ÑSodrf\prU+ Y(SÃY?ý\‰I9Š&ªZÇZҐ° Yqh^‘’f\pU+Y\lmOtlXQœdo(°\drORUV–˜YqzgbRU€QTSY5ƒI„( Z„†ˆ‡Z‰9Šq‹†où2Šc«,‰~fq‘SedrY˜drU ÑU&Y\lmOtSodmY˜drUVQgSY ý(‰c9Š&ªZÇRҕjþIf([‚UlQ{dAQgU+SY\pAU€Qght[‚f\prUPdAO^Y\h f\hRU5SedrYqdAU ÑU(j xijEÿf\zgz{Iu|fcfZQTSVQghŒ2fqdrOz{f(pAQTRYtYqhiGÜ|Y\z{Q{‘’f\prhRQTY(ҐjÓÄpAQ{dAU Y‚prf\bRdAQghRUdAO^Yqd~lf([‚vRbZdAU&SPdAO^U5Q{hI–(UXpmSeU[tYqv° Q{hau€ORQglmOdAORU0“\U+ZSEY\pAUdAORU0h^Yq[‚U&Sf\‘dAORUSedrY˜drU+S+°ZYqh^—dAORU0–˜YqzgbRU+SPYqprUzgQTSodmSf\‘lf(pAprU+SAvif(h^ZQghRx lXQœdrQ{U&SXjÃNPORUSeQgx\hiY˜dAb^pAU~fq‘ \f\b^p|[‚UXdAORfZQgS+±

 ªÌŠ+ªI®I‡Z‰ÊòR„\®  ÎR¯2«÷„(R¯Êý(‰c9Š&ªZdzR¯q®ZR¯^«\¯qªZ‰9Š&ªZÇ;¨ZŠ,‰9Š˜¯^«  (^) R„Z‹q‡^¯R«)„(R¯³ù2Šc«˜‰ ©

½

ý(‰I2Š&ªZdzR¯\®IR¯^«\¯\ªI‰9Š&ªZÇ;¨\©(IR¯R«,®^©\ªRñiŠ&ªZÇÊ«˜‰R„(‰R¯R«  (^) ª Z¯(‰c‡ZcªR¯cñÆòR„\®  (^) ÎR¯2«÷„(R¯Êý(‰c9Š&ªZdzR¯q®ZR¯^«\¯qªZ‰9Š&ªZÇ;«˜‰R„(‰Z¯ÆªR„ 9¯  R„Z‹q‡^¯R«)„(R¯³ù2Šc«˜‰ ©

½

ý(‰I2Š&ªZdzR¯\®IR¯^«\¯\ªI‰9Š&ªZÇ;¨\©(IR¯R«,®^©\ªRñiŠ&ªZÇʨZŠ,‰9Šq¯R« ®I‡I²i‹^Š(¨³«˜‰R„(‰9Š(¨ûòR„\®»Š&ªZ R¯\2«\¯(òR„q®¶òR„q®  º ¼

ü

_ijšœ›iÄž£&¤X¥¦GUXdAORfZÇR¯(‰ Z¯( R¯(2«q¯prUdrbRpAhiSVY—ƒI„
R„†ˆ‡Z‰2Š\‹†où2Š(«˜‰u€QœdrOdAORU5f(pAQgx\Qgh^Y\zUXzgUX[‚UXhcdmS€pAU+–\U+prSAU+Žj Rf(pVQ{hiSodmYqh^lXU\°^Q{‘ dAORU?f(pAQgx\Qgh^Yqz9zgQgSed€QgS}¸ Ãöö(¹2°IdrORUXhdAO^U?pAUXdAbRprhRU+azgQgSedVQgS¸Ãöö (¹2j Øâ[”v^z{U+[”U+hcdÇR¯(‰ Z¯( R¯(2«q¯€ç,ä(é§ç˜¤& iäÃj§f(b5[tY,?u€pAQ{dAU|YqhY(RZQ{dAQgf\h^Y\z(v^pAQg–˜Y˜dAUEpAf(bZdAQghRU|Qœ‘i\f\b5à^h^?drO^Y˜d$ORU+z{vZ‘’b^z"jf\bRp Yqzgx\f\prQ{dAOR[¿[b^SedŒiUUÞ—lQgUXhcdQgh‚dAUXpr[tSÃfq‘Ô|QgxqÕeÖ~O°qprUXx(Y\prRz{U&SASfq‘Žu€ORUXdAORU+pÃdAO^Uù2Š(«˜‰5QTSY\htôcIR„ZùiŠc«˜‰0f\pù2Š&ªZÎZ¯cñIù2Šc«,‰9j

_