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1300 Math Formulas

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ii

Preface

qÜáë= Ü~åÇÄççâ= áë= ~= ÅçãéäÉíÉ= ÇÉëâíçé= êÉÑÉêÉåÅÉ= Ñçê= ëíì-

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iii

Contents

1 krj_bo=pbqp= NKN=pЙн=fЗЙенбнбЙл==1= NKO=pЙнл=зС=kмгДЙкл==5= NKP=_~лбЕ=fЗЙенбнбЙл==7= NKQ=`згйдЙс=kмгДЙкл==8= 2 ^idb_o^= OKN=c~ЕнзкбеЦ=cзкгмд~л==12= OKO=mкзЗмЕн=cзкгмд~л==13=

OKP=mзпЙкл==14=

OKQ=oззнл==15=

OKR=iзЦ~кбнЬгл==16=

OKS=bим~нбзел==18=

OKT=fеЙим~дбнбЙл==19= OKU=`згйзмеЗ=fенЙкЙлн=cзкгмд~л==22= 3 dbljbqov= PKN=oбЦЬн=qкб~еЦдЙ==24= PKO=fлзлЕЙдЙл=qкб~еЦдЙ==27= PKP=bимбд~нЙк~д=qкб~еЦдЙ==28= PKQ=pЕ~дЙеЙ=qкб~еЦдЙ==29=

PKR=pим~кЙ==33=

PKS=oЙЕн~еЦдЙ==34=

PKT=m~к~ддЙдзЦк~г==35=

PKU=oЬзгДмл==36=

PKV=qк~йЙтзбЗ==37=

PKNM=fлзлЕЙдЙл=qк~йЙтзбЗ==38=

PKNN=fлзлЕЙдЙл=qк~йЙтзбЗ=пбнЬ=fелЕкбДЙЗ=`бкЕдЙ==40=

PKNO=qк~йЙтзбЗ=пбнЬ=fелЕкбДЙЗ=`бкЕдЙ==41=

iv

PKNP=hбнЙ==42=

PKNQ=`уЕдбЕ=nм~Зкбд~нЙк~д==43= PKNR=q~еЦЙенб~д=nм~Зкбд~нЙк~д==45= PKNS=dЙеЙк~д=nм~Зкбд~нЙк~д==46= PKNT=oЙЦмд~к=eЙс~Цзе==47= PKNU=oЙЦмд~к=mздуЦзе==48=

PKNV=`бкЕдЙ==50=

PKOM=pЙЕнзк=зС=~=`бкЕдЙ==53= PKON=pЙЦгЙен=зС=~=`бкЕдЙ==54=

PKOO=`мДЙ==55=

PKOP=oЙЕн~еЦмд~к=m~к~ддЙдЙйбйЙЗ==56=

PKOQ=mкблг==57=

PKOR=oЙЦмд~к=qЙнк~ЬЙЗкзе==58= PKOS=oЙЦмд~к=mук~гбЗ==59= PKOT=cкмлнмг=зС=~=oЙЦмд~к=mук~гбЗ==61= PKOU=oЙЕн~еЦмд~к=oбЦЬн=tЙЗЦЙ==62= PKOV=mд~нзебЕ=pздбЗл==63= PKPM=oбЦЬн=`бкЕмд~к=`удбеЗЙк==66=

PKPN=oбЦЬн=`бкЕмд~к=`удбеЗЙк=пбнЬ=~е=lДдбимЙ=mд~еЙ=c~ЕЙ==68=

PKPO=oбЦЬн=`бкЕмд~к=`зеЙ==69=

PKPP=cкмлнмг=зС=~=oбЦЬн=`бкЕмд~к=`зеЙ==70=

PKPQ=pйЬЙкЙ==72=

PKPR=pйЬЙкбЕ~д=`~й==72=

PKPS=pйЬЙкбЕ~д=pЙЕнзк==73= PKPT=pйЬЙкбЕ~д=pЙЦгЙен==74= PKPU=pйЬЙкбЕ~д=tЙЗЦЙ==75=

PKPV=bддбйлзбЗ==76=

PKQM=`бкЕмд~к=qзкмл==78= 4 qofdlkljbqov=

QKN=o~Зб~е=~еЗ=aЙЦкЙЙ=jЙ~лмкЙл=зС=^еЦдЙл==80=

QKO=aЙСбебнбзел=~еЗ=dк~йЬл=зС=qкбЦзезгЙнкбЕ=cмеЕнбзел==81=

QKP=pбЦел=зС=qкбЦзезгЙнкбЕ=cмеЕнбзел==86=

QKQ=qкбЦзезгЙнкбЕ=cмеЕнбзел=зС=`зггзе=^еЦдЙл==87=

QKR=jзлн=fгйзкн~ен=cзкгмд~л==88= v QKS=oЙЗмЕнбзе=cзкгмд~л==89=

QKT=mЙкбзЗбЕбну=зС=qкбЦзезгЙнкбЕ=cмеЕнбзел==90=

QKU=oЙд~нбзел=ДЙнпЙЙе=qкбЦзезгЙнкбЕ=cмеЕнбзел==90=

QKV=^ЗЗбнбзе=~еЗ=pмДнк~Енбзе=cзкгмд~л==91=

QKNM=aзмДдЙ=^еЦдЙ=cзкгмд~л==92= QKNN=jмднбйдЙ=^еЦдЙ=cзкгмд~л==93= QKNO=e~дС=^еЦдЙ=cзкгмд~л==94= QKNP=e~дС=^еЦдЙ=q~еЦЙен=fЗЙенбнбЙл==94=

QKNQ=qк~елСзкгбеЦ=зС=qкбЦзезгЙнкбЕ=bсйкЙллбзел=нз=mкзЗмЕн==95=

QKNR=qк~елСзкгбеЦ=зС=qкбЦзезгЙнкбЕ=bсйкЙллбзел=нз=pмг==97===

QKNS=mзпЙкл=зС=qкбЦзезгЙнкбЕ=cмеЕнбзел==98=

QKNT=dк~йЬл=зС=fеоЙклЙ=qкбЦзезгЙнкбЕ=cмеЕнбзел==99=

QKNU=mкбеЕбй~д=s~дмЙл=зС=fеоЙклЙ=qкбЦзезгЙнкбЕ=cмеЕнбзел==102=

QKNV=oЙд~нбзел=ДЙнпЙЙе=fеоЙклЙ=qкбЦзезгЙнкбЕ=cмеЕнбзел==103=

QKOM=qкбЦзезгЙнкбЕ=bим~нбзел==106=

QKON=oЙд~нбзел=нз=eуйЙкДздбЕ=cмеЕнбзел==106=

5 j^qof`bp=^ka=abqbojfk^kqp= RKN=aЙнЙкгбе~енл==107= RKO=mкзйЙкнбЙл=зС=aЙнЙкгбе~енл==109=

RKP=j~нкбЕЙл==110=

RKQ=lйЙк~нбзел=пбнЬ=j~нкбЕЙл==111= RKR=pулнЙгл=зС=iбеЙ~к=bим~нбзел==114= 6 sb`qlop= SKN=sЙЕнзк=`ззкЗбе~нЙл==118= SKO=sЙЕнзк=^ЗЗбнбзе==120= SKP=sЙЕнзк=pмДнк~Енбзе==122= SKQ=pЕ~дбеЦ=sЙЕнзкл==122= SKR=pЕ~д~к=mкзЗмЕн==123= SKS=sЙЕнзк=mкзЗмЕн==125= SKT=qкбйдЙ=mкзЗмЕн=127= 7 ^k^ivqf`=dbljbqov=

TKN=lеЙ=-aбгЙелбзе~д=`ззкЗбе~нЙ=pулнЙг==130=

vi

TKO=qпз=-aбгЙелбзе~д=`ззкЗбе~нЙ=pулнЙг==131=

TKP=pнк~бЦЬн=iбеЙ=бе=mд~еЙ==139=

TKQ=`бкЕдЙ==149=

TKR=bддбйлЙ==152=

TKS=eуйЙкДзд~==154=

TKT=m~к~Дзд~==158=

TKU=qЬкЙЙ=-aбгЙелбзе~д=`ззкЗбе~нЙ=pулнЙг==161=

TKV=mд~еЙ==165=

TKNM=pнк~бЦЬн=iбеЙ=бе=pй~ЕЙ==175= TKNN=nм~ЗкбЕ=pмкС~ЕЙл==180=

TKNO=pйЬЙкЙ==189=

8 afccbobkqf^i=`^i`rirp= UKN=cмеЕнбзел=~еЗ=qЬЙбк=dк~йЬл==191= UKO=iбгбнл=зС=cмеЕнбзел==208=

UKP=aЙСбебнбзе=~еЗ=mкзйЙкнбЙл=зС=нЬЙ=aЙкбо~нбоЙ==209=

UKQ=q~ДдЙ=зС=aЙкбо~нбоЙл==211= UKR=eбЦЬЙк=lкЗЙк=aЙкбо~нбоЙл==215= UKS=^ййдбЕ~нбзел=зС=aЙкбо~нбоЙ==217= UKT=aбССЙкЙенб~д==221= UKU=jмднбо~кб~ДдЙ=cмеЕнбзел==222= UKV=aбССЙкЙенб~д=lйЙк~нзкл==225= 9 fkqbdo^i=`^i`rirp= VKN=fеЗЙСбебнЙ=fенЙЦк~д==227=

VKO=fенЙЦк~дл=зС=o~нбзе~д=cмеЕнбзел==228=

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