1300 Math Formulas

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CHAPTER 11. SERIES o~Çáìë=çÑ=`çåîÉêÖÉåÅÉ= fÑ=íÜÉ=áåíÉêî~ä=çÑ=ÅçåîÉêÖÉåÅÉ=áë==(ñM−oIñM+o)==Ñçê==ëçãÉ= o≥MI=íÜÉ=o=áë=Å~ääÉÇ==íÜÉ= ...

CHAPTER 11. SERIES fåíÉÖê~íáçå=çÑ=mçïÉê=pÉêáÉë= iÉí= ()=∑ = + + +K ∞ = O M N O åM å Ññ ~åñ ~ ~ñ ~ñ =Ñçê=ñ<oK== qÜÉåI==Ñçê=ñ ...

CHAPTER 11. SERIES () ()() () () ( ) ()() å O å å åM å å o å> Ñ Mñ O> Ñ Mñ ÑM Ñ Mñ å> ñ Ññ Ñ M + + + ′′ =∑ = + ′ + ∞ = ...

CHAPTER 11. SERIES 1234. ( ) () K ±K + − = − + − + + + Oå N> N ñ T> ñ R> ñ P> ñ ëáåñ ñ P R T å OåN = = = + + + + +K ...

CHAPTER 11. SERIES 11.12 Binomial Series = tÜçäÉ=åìãÄÉêëW=åI=ã= oÉ~ä=åìãÄÉêW=ñ= `çãÄáå~íáçåëW=å`=ã = = ()N+ñå=N+åNñ+åOñO+K+ã`åñ ...

CHAPTER 11. SERIES 1248. () ∑() ∞ = = + + åN å å M ~ Åçëåñ Ä ëáååñ O ~ Ñ=ñ = 1249. ∫ () π π−π = ÑñÅçëåñÇñ N ~å == = 1250. ∫ () π ...

Chapter 12 Probability = = = = 12.1 Permutations and Combinations = mÉêãìí~íáçåëW=åm=ã `çãÄáå~íáçåëW=å`=ã tÜçäÉ=åìãÄÉêëW=åI=ã= = ...

CHAPTER 12. PROBABILITY åM+åN+åO+K+åå=Oå= = m~ëÅ~ä∞ë=qêá~åÖäÉ= oçï=M= ======N======= oçï=N= = = = = =N==N== = = = = oçï=O= = ...

CHAPTER 12. PROBABILITY o~åÖÉ=çÑ=mêçÄ~Äáäáíó=s~äìÉë= M≤m()^ ≤N= `Éêí~áå=bîÉåí= m(^)=N= fãéçëëáÄäÉ=bîÉåí= m(^)=M= `çãéäÉãÉ ...

CHAPTER 12. PROBABILITY i~ï=çÑ=qçí~ä=mêçÄ~Äáäáíó= () ( )( )∑ = = ã áN m^ m_ám^L_á I== ïÜÉêÉ=_ =áë=~=ëÉèìÉåÅÉ=çÑ=ãìíì~ääó=ÉñÅäì ...

CHAPTER 12. PROBABILITY kçêã~ä=aÉåëáíó=cìåÅíáçå= () () O O O ñ É O N ñ σ − −μ σ π φ = I== ïÜÉêÉ=ñ=áë=~=é~êíáÅìä~ê=çìíÅçãÉK= = ...

CHAPTER 12. PROBABILITY ïÜÉêÉ== ñ=áë=~=é~êíáÅìä~ê=çìíÅçãÉI== í =áë=~=î~êá~ÄäÉ=çÑ=áåíÉÖê~íáçåK= = ()       σ β−μ −    ...

CHAPTER 12. PROBABILITY μ=åéI= åéèσO= I= ()() ñ å Ññ =è+éÉ I== ïÜÉêÉ== å=áë=íÜÉ=åìãÄÉê=çÑ=íêá~äë=çÑ=ëÉäÉÅíáçåëI= é=áë=íÜÉ=éêçÄ~Ä ...

CHAPTER 12. PROBABILITY ïÜÉêÉ=Ñ=áë=íÜÉ=ÇÉåëáíó=ÑìåÅíáçåK= = bñéçåÉåíá~ä=aÉåëáíó=cìåÅíáçå= Ñ()í =λÉ−λíI=μ=λI=σO=λO= ïÜÉêÉ=í=áë= ...

CHAPTER 12. PROBABILITY j~êâçî=fåÉèì~äáíó= () () â bu mu>â ≤ I== ïÜÉêÉ=â=áë=ëçãÉ=Åçåëí~åíK= = s~êá~åÅÉ=çÑ=aáëÅêÉíÉ=o~åÇçã= ...

CHAPTER 12. PROBABILITY = `çêêÉä~íáçå= () ( ) s()()usv ÅçîuIv ρuIv = I== ïÜÉêÉ== s()u =áë=íÜÉ=î~êá~åÅÉ=çÑ=uI== s =áë=íÜÉ=î~êá~ ...

= iççâ=Ñçê=çíÜÉê=Ü~åÇÄççâë=~åÇ=ëçäîÉÇ=éêçÄäÉã=ÖìáÇÉë=~í= ïïïKã~íÜ-ÉÄççâëKÅçãK= = = ...