1300 Math Formulas = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = fp_k= =VVQVNMTTQN= = `ỗộúờỏệĩớ=ô=OMMQ=^KpợỏờỏồK=^ọọ=oỏệĩớở=oẫởẫờợẫầK= i = qÜáë=é~ÖÉ=áë=áåíÉåíáçå~ääó=äÉÑí=Ää~åâK= ii Preface = = = = qĩỏở= ĩ~ồầỗỗõ= ỏở= ~= ỗóộọẫớẫ= ầẫởõớỗộ= ờẫẹẫờẫồẫ= ẹỗờ= ởớỡ- ầẫồớở= ~ồầ= ẫồệỏồẫẫờởK= fớ= ĩ~ở= ẫợẫờúớĩỏồệ= ẹờỗó= ĩỏệĩ= ởĩỗỗọ= ó~ớĩ=ớỗ=ó~ớĩ=ẹỗờ=~ầợ~ồẫầ=ỡồầẫờệờ~ầỡ~ớẫở=ỏồ=ẫồệỏồẫẫờỏồệI= ẫỗồỗóỏởI=ộĩúởỏ~ọ=ởỏẫồẫởI=~ồầ=ó~ớĩẫó~ớỏởK=qĩẫ=ẫỗỗõ= ỗồớ~ỏồở=ĩỡồầờẫầở=ỗẹ=ẹỗờóỡọ~ởI=ớ~ọẫởI=~ồầ=ẹỏệỡờẫở=ẹờỗó= kỡóẫờ= pẫớởI= ^ọệẫờ~I= dẫỗóẫớờúI= qờỏệỗồỗóẫớờúI= j~ớờỏẫở= ~ồầ= aẫớẫờóỏồ~ồớởI= sẫớỗờởI= ^ồ~ọúớỏ= dẫỗóẫớờúI= `~ọỡọỡởI= aỏẹẹẫờẫồớỏ~ọ=bốỡ~ớỏỗồởI=pẫờỏẫởI=~ồầ=mờỗ~ỏọỏớú=qĩẫỗờúK== qĩẫ= ởớờỡớỡờẫầ= ớ~ọẫ= ỗẹ= ỗồớẫồớởI= ọỏồõởI= ~ồầ= ọ~úỗỡớ= ó~õẫ= ẹỏồầỏồệ= ớĩẫ= ờẫọẫợ~ồớ= ỏồẹỗờó~ớỏỗồ= ốỡỏõ= ~ồầ= ộ~ỏồọẫởởI= ởỗ= ỏớ= ~ồ=ẫ=ỡởẫầ=~ở=~ồ=ẫợẫờúầ~ú=ỗồọỏồẫ=ờẫẹẫờẫồẫ=ệỡỏầẫK=== = = iii Contents = = = = 1 krj_bo=pbqp= NKN= pẫớ=fầẫồớỏớỏẫở==1= NKO= pẫớở=ỗẹ=kỡóẫờở==5= NKP= _~ởỏ=fầẫồớỏớỏẫở==7= NKQ= `ỗóộọẫủ=kỡóẫờở==8= = 2 ^idb_o^= OKN= c~ớỗờỏồệ=cỗờóỡọ~ở==12= OKO= mờỗầỡớ=cỗờóỡọ~ở==13= OKP= mỗùẫờở==14= OKQ= oỗỗớở==15= OKR= iỗệ~ờỏớĩóở==16= OKS= bốỡ~ớỏỗồở==18= OKT= fồẫốỡ~ọỏớỏẫở==19= OKU= `ỗóộỗỡồầ=fồớẫờẫởớ=cỗờóỡọ~ở==22= = 3 dbljbqov= PKN= oỏệĩớ=qờỏ~ồệọẫ==24= PKO= fởỗởẫọẫở=qờỏ~ồệọẫ==27= PKP= bốỡỏọ~ớẫờ~ọ=qờỏ~ồệọẫ==28= PKQ= p~ọẫồẫ=qờỏ~ồệọẫ==29= PKR= pốỡ~ờẫ==33= PKS= oẫớ~ồệọẫ==34= PKT= m~ờ~ọọẫọỗệờ~ó==35= PKU= oĩỗóỡở==36= PKV= qờ~ộẫũỗỏầ==37= PKNM= fởỗởẫọẫở=qờ~ộẫũỗỏầ==38= PKNN= fởỗởẫọẫở=qờ~ộẫũỗỏầ=ùỏớĩ=fồởờỏẫầ=`ỏờọẫ==40= PKNO= qờ~ộẫũỗỏầ=ùỏớĩ=fồởờỏẫầ=`ỏờọẫ==41= iv PKNP= hỏớẫ==42= PKNQ= `úọỏ=nỡ~ầờỏọ~ớẫờ~ọ==43= PKNR= q~ồệẫồớỏ~ọ=nỡ~ầờỏọ~ớẫờ~ọ==45= PKNS= dẫồẫờ~ọ=nỡ~ầờỏọ~ớẫờ~ọ==46= PKNT= oẫệỡọ~ờ=eẫủ~ệỗồ==47= PKNU= oẫệỡọ~ờ=mỗọúệỗồ==48= PKNV= `ỏờọẫ==50= PKOM= pẫớỗờ=ỗẹ=~=`ỏờọẫ==53= PKON= pẫệóẫồớ=ỗẹ=~=`ỏờọẫ==54= PKOO= `ỡẫ==55= PKOP= oẫớ~ồệỡọ~ờ=m~ờ~ọọẫọẫộỏộẫầ==56= PKOQ= mờỏởó==57= PKOR= oẫệỡọ~ờ=qẫớờ~ĩẫầờỗồ==58= PKOS= oẫệỡọ~ờ=múờ~óỏầ==59= PKOT= cờỡởớỡó=ỗẹ=~=oẫệỡọ~ờ=múờ~óỏầ==61= PKOU= oẫớ~ồệỡọ~ờ=oỏệĩớ=tẫầệẫ==62= PKOV= mọ~ớỗồỏ=pỗọỏầở==63= PKPM= oỏệĩớ=`ỏờỡọ~ờ=`úọỏồầẫờ==66= PKPN= oỏệĩớ=`ỏờỡọ~ờ=`úọỏồầẫờ=ùỏớĩ=~ồ=lọỏốỡẫ=mọ~ồẫ=c~ẫ==68= PKPO= oỏệĩớ=`ỏờỡọ~ờ=`ỗồẫ==69= PKPP= cờỡởớỡó=ỗẹ=~=oỏệĩớ=`ỏờỡọ~ờ=`ỗồẫ==70= PKPQ= pộĩẫờẫ==72= PKPR= pộĩẫờỏ~ọ=`~ộ==72= PKPS= pộĩẫờỏ~ọ=pẫớỗờ==73= PKPT= pộĩẫờỏ~ọ=pẫệóẫồớ==74= PKPU= pộĩẫờỏ~ọ=tẫầệẫ==75= PKPV= bọọỏộởỗỏầ==76= PKQM= `ỏờỡọ~ờ=qỗờỡở==78= == 4 qofdlkljbqov= QKN= o~ầỏ~ồ=~ồầ=aẫệờẫẫ=jẫ~ởỡờẫở=ỗẹ=^ồệọẫở==80= QKO= aẫẹỏồỏớỏỗồở=~ồầ=dờ~ộĩở=ỗẹ=qờỏệỗồỗóẫớờỏ=cỡồớỏỗồở==81= QKP= pỏệồở=ỗẹ=qờỏệỗồỗóẫớờỏ=cỡồớỏỗồở==86= QKQ= qờỏệỗồỗóẫớờỏ=cỡồớỏỗồở=ỗẹ=`ỗóóỗồ=^ồệọẫở==87= QKR= jỗởớ=fóộỗờớ~ồớ=cỗờóỡọ~ở==88= v QKS= oẫầỡớỏỗồ=cỗờóỡọ~ở==89= QKT= mẫờỏỗầỏỏớú=ỗẹ=qờỏệỗồỗóẫớờỏ=cỡồớỏỗồở==90= QKU= oẫọ~ớỏỗồở=ẫớùẫẫồ=qờỏệỗồỗóẫớờỏ=cỡồớỏỗồở==90= QKV= ^ầầỏớỏỗồ=~ồầ=pỡớờ~ớỏỗồ=cỗờóỡọ~ở==91= QKNM= aỗỡọẫ=^ồệọẫ=cỗờóỡọ~ở==92= QKNN= jỡọớỏộọẫ=^ồệọẫ=cỗờóỡọ~ở==93= QKNO= e~ọẹ=^ồệọẫ=cỗờóỡọ~ở==94= QKNP= e~ọẹ=^ồệọẫ=q~ồệẫồớ=fầẫồớỏớỏẫở==94= QKNQ= qờ~ồởẹỗờóỏồệ=ỗẹ=qờỏệỗồỗóẫớờỏ=bủộờẫởởỏỗồở=ớỗ=mờỗầỡớ==95= QKNR= qờ~ồởẹỗờóỏồệ=ỗẹ=qờỏệỗồỗóẫớờỏ=bủộờẫởởỏỗồở=ớỗ=pỡó==97=== QKNS= mỗùẫờở=ỗẹ=qờỏệỗồỗóẫớờỏ=cỡồớỏỗồở==98= QKNT= dờ~ộĩở=ỗẹ=fồợẫờởẫ=qờỏệỗồỗóẫớờỏ=cỡồớỏỗồở==99= QKNU= mờỏồỏộ~ọ=s~ọỡẫở=ỗẹ=fồợẫờởẫ=qờỏệỗồỗóẫớờỏ=cỡồớỏỗồở==102= QKNV= oẫọ~ớỏỗồở=ẫớùẫẫồ=fồợẫờởẫ=qờỏệỗồỗóẫớờỏ=cỡồớỏỗồở==103= QKOM= qờỏệỗồỗóẫớờỏ=bốỡ~ớỏỗồở==106= QKON= oẫọ~ớỏỗồở=ớỗ=eúộẫờỗọỏ=cỡồớỏỗồở==106= == 5 j^qof`bp=^ka=abqbojfk^kqp= RKN= aẫớẫờóỏồ~ồớở==107= RKO= mờỗộẫờớỏẫở=ỗẹ=aẫớẫờóỏồ~ồớở==109= RKP= j~ớờỏẫở==110= RKQ= lộẫờ~ớỏỗồở=ùỏớĩ=j~ớờỏẫở==111= RKR= púởớẫóở=ỗẹ=iỏồẫ~ờ=bốỡ~ớỏỗồở==114= == 6 sb`qlop= SKN= sẫớỗờ=`ỗỗờầỏồ~ớẫở==118= SKO= sẫớỗờ=^ầầỏớỏỗồ==120= SKP= sẫớỗờ=pỡớờ~ớỏỗồ==122= SKQ= p~ọỏồệ=sẫớỗờở==122= SKR= p~ọ~ờ=mờỗầỡớ==123= SKS= sẫớỗờ=mờỗầỡớ==125= SKT= qờỏộọẫ=mờỗầỡớ=127= == 7 ^k^ivqf`=dbljbqov= TKN= lồẫ=-aỏóẫồởỏỗồ~ọ=`ỗỗờầỏồ~ớẫ=púởớẫó==130= vi TKO= qùỗ=-aỏóẫồởỏỗồ~ọ=`ỗỗờầỏồ~ớẫ=púởớẫó==131= TKP= pớờ~ỏệĩớ=iỏồẫ=ỏồ=mọ~ồẫ==139= TKQ= `ỏờọẫ==149= TKR= bọọỏộởẫ==152= TKS= eúộẫờỗọ~==154= TKT= m~ờ~ỗọ~==158= TKU= qĩờẫẫ=-aỏóẫồởỏỗồ~ọ=`ỗỗờầỏồ~ớẫ=púởớẫó==161= TKV= mọ~ồẫ==165= TKNM= pớờ~ỏệĩớ=iỏồẫ=ỏồ=pộ~ẫ==175= TKNN= nỡ~ầờỏ=pỡờẹ~ẫở==180= TKNO= pộĩẫờẫ==189= == 8 afccbobkqf^i=`^i`rirp= UKN= cỡồớỏỗồở=~ồầ=qĩẫỏờ=dờ~ộĩở==191= UKO= iỏóỏớở=ỗẹ=cỡồớỏỗồở==208= UKP= aẫẹỏồỏớỏỗồ=~ồầ=mờỗộẫờớỏẫở=ỗẹ=ớĩẫ=aẫờỏợ~ớỏợẫ==209= UKQ= q~ọẫ=ỗẹ=aẫờỏợ~ớỏợẫở==211= UKR= eỏệĩẫờ=lờầẫờ=aẫờỏợ~ớỏợẫở==215= UKS= ^ộộọỏ~ớỏỗồở=ỗẹ=aẫờỏợ~ớỏợẫ==217= UKT= aỏẹẹẫờẫồớỏ~ọ==221= UKU= jỡọớỏợ~ờỏ~ọẫ=cỡồớỏỗồở==222= UKV= aỏẹẹẫờẫồớỏ~ọ=lộẫờ~ớỗờở==225= == 9 fkqbdo^i=`^i`rirp= VKN= fồầẫẹỏồỏớẫ=fồớẫệờ~ọ==227= VKO= fồớẫệờ~ọở=ỗẹ=o~ớỏỗồ~ọ=cỡồớỏỗồở==228= VKP= fồớẫệờ~ọở=ỗẹ=fờờ~ớỏỗồ~ọ=cỡồớỏỗồở==231= VKQ= fồớẫệờ~ọở=ỗẹ=qờỏệỗồỗóẫớờỏ=cỡồớỏỗồở==237= VKR= fồớẫệờ~ọở=ỗẹ=eúộẫờỗọỏ=cỡồớỏỗồở==241= VKS= fồớẫệờ~ọở=ỗẹ=bủộỗồẫồớỏ~ọ=~ồầ=iỗệ~ờỏớĩóỏ=cỡồớỏỗồở==242= VKT= oẫầỡớỏỗồ=cỗờóỡọ~ở==243= VKU= aẫẹỏồỏớẫ=fồớẫệờ~ọ==247= VKV= fóộờỗộẫờ=fồớẫệờ~ọ==253= VKNM= aỗỡọẫ=fồớẫệờ~ọ==257= VKNN= qờỏộọẫ=fồớẫệờ~ọ==269= vii VKNO= iỏồẫ=fồớẫệờ~ọ==275= VKNP= pỡờẹ~ẫ=fồớẫệờ~ọ==285= == 10 afccbobkqf^i=bnr^qflkp= NMKN= cỏờởớ=lờầẫờ=lờầỏồ~ờú=aỏẹẹẫờẫồớỏ~ọ=bốỡ~ớỏỗồở==295= NMKO= pẫỗồầ=lờầẫờ=lờầỏồ~ờú=aỏẹẹẫờẫồớỏ~ọ=bốỡ~ớỏỗồở==298= NMKP= pỗóẫ=m~ờớỏ~ọ=aỏẹẹẫờẫồớỏ~ọ=bốỡ~ớỏỗồở==302= == 11 pbofbp= NNKN= ^ờỏớĩóẫớỏ=pẫờỏẫở==304= NNKO= dẫỗóẫớờỏ=pẫờỏẫở==305= NNKP= pỗóẫ=cỏồỏớẫ=pẫờỏẫở==305= NNKQ= fồẹỏồỏớẫ=pẫờỏẫở==307= NNKR= mờỗộẫờớỏẫở=ỗẹ=`ỗồợẫờệẫồớ=pẫờỏẫở==307= NNKS= `ỗồợẫờệẫồẫ=qẫởớở==308= NNKT= ^ọớẫờồ~ớỏồệ=pẫờỏẫở==310= NNKU= mỗùẫờ=pẫờỏẫở==311= NNKV= aỏẹẹẫờẫồớỏ~ớỏỗồ=~ồầ=fồớẫệờ~ớỏỗồ=ỗẹ=mỗùẫờ=pẫờỏẫở==312= NNKNM= q~úọỗờ=~ồầ=j~ọ~ỡờỏồ=pẫờỏẫở==313= NNKNN= mỗùẫờ=pẫờỏẫở=bủộ~ồởỏỗồở=ẹỗờ=pỗóẫ=cỡồớỏỗồở==314= NNKNO= _ỏồỗóỏ~ọ=pẫờỏẫở==316= NNKNP= cỗỡờỏẫờ=pẫờỏẫở==316= == 12 mol_^_fifqv= NOKN= mẫờóỡớ~ớỏỗồở=~ồầ=`ỗóỏồ~ớỏỗồở==318= NOKO= mờỗ~ỏọỏớú=cỗờóỡọ~ở==319= == = = = viii = qÜáë=é~ÖÉ=áë=áåíÉåíáçå~ääó=äÉÑí=Ää~åâK= = . 1300 Math Formulas = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = fp_k= =VVQVNMTTQN= = `ỗộúờỏệĩớ=ô=OMMQ=^KpợỏờỏồK=^ọọ=oỏệĩớở=oẫởẫờợẫầK= i