Intrebari

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sigma
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Intrebari

Post by sigma »

Puteti sa-mi spuneti si mie ce inseamna \( \lim \) sau \( \sum \) sau \( \prod \) ... nu inteleg ... :roll: :D ?
lost
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Re: Intrebari

Post by lost »

sigma wrote:Puteti sa-mi spuneti si mie ce inseamna \( lim \) sau \( \sum \) sau \( \prod \) ... nu inteleg ... :roll: :D ?
\( \lim \) inseamna limita... (clasa aXI-a).
\( \sum \) e o suma de elemente (scrisa dupa termenul general) (clasa a-VI-a).
\( \prod \) e un produs de elemente (scris dupa termenul general) (clasaVI-a).
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Laurian Filip
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Post by Laurian Filip »

\( \lim_{n\rightarrow \infty} \frac{n+1}{n} \) in principiu este egal cu ce rezultat iti da in relatia respectiva inlocuindu-l pe n cu infinit.

\( \sum_{k=1}^n k \) este suma pe care o obtii daca ii dai lui k toate valorile de la 1 pana la n si apoi le aduni.

\( \prod_{k=1}^n k \) este produsul pe care il obtii daca ii dai lui k toate valorile de la 1 pana la n si apoi le inmultesti.
Last edited by Laurian Filip on Sun Nov 23, 2008 2:34 pm, edited 1 time in total.
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Marius Dragoi
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Re: Intrebari

Post by Marius Dragoi »

sigma wrote:Puteti sa-mi spuneti si mie ce inseamna \( \lim \) sau \( \sum \) sau \( \prod \) ... nu inteleg ... :roll: :D ?
Acum doar \( \sum \) si \( \prod \) o sa trebuiasca sa le stii...pentru \( \lim \) mai trebuie sa cresti. :wink:
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sigma
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Post by sigma »

pai vad unele inegalitati unde apare \( \sum \frac{ab}{a+b+1} \) . Asta inseamna \( 1+2+...+\frac{ab}{a+b+1} \) ?
Marius Mainea
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Post by Marius Mainea »

sigma wrote:pai vad unele inegalitati unde apare \( \sum \frac{ab}{a+b+1} \) . Asta inseamna \( 1+2+...+\frac{ab}{a+b+1} \) ?
Nu , pentru trei numere a,b,c \( \sum_{cyc}{\frac{ab}{a+b+1}}=\frac{ab}{a+b+1}+\frac{bc}{b+c+1}+\frac{ca}{c+a+1} \)
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