Stefan (Stefannnnn)

Stefannnnn
Vezi solutiile trimise
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Atenţie! Aceasta este o versiune veche a paginii, scrisă la 2024-09-26 20:37:37.
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cele 11 reguli fundamentale la a fi un sigma
regula sigma 1: sol_{1,2} = \frac{-b \pm \sqrt{\Delta}}{2\cdot a}
regula sigma 2: f'(c)=\frac{f(a) - f(b)}{a - b}
regula sigma 3: C_n=\frac{1}{n + 1} \cdot \binom{2 \cdot n}{n}
regula sigma 4: \sum^{n}_{1}i = \frac{n \cdot (n + 1)}{2}
regula sigma 5: \sum^{n}_{1}i^2 = \frac{n \cdot (n + 1) \cdot (2n + 1)}{6}
regula sigma 6: |X/G| = \frac{1}{|G|} \sum_{g \in G}|X^g|
regula sigma 7: \frac{2}{\frac{1}{a} + \frac{1}{b}} \leq \sqrt{a \cdot b} \leq \frac{a + b}{2} \leq \sqrt{\frac{a^2 + b^2}{2}}
regula sigma 8: \frac{AC}{CD} = \frac{AB}{BD}, \Delta ABC \text{ cu } \angle BAD = \angle DAC
regula sigma 9: \sum^{n}_{0}\binom{n}{i} = 2^n
regula sigma 10: AH = 2R \cdot \cos{a}
regula sigma 11: A = i + \frac{p}{2} + 1
regula sigma 12: (\sum^{n}_{1}{a_i \cdot b_i}) ^ 2 \leq (\sum^{n}_{1}{a_i ^ 2})\cdot (\sum^{n}_{1}{b_i ^ 2})
regula sigma 13: \sum^{n}_{1}{\frac{a_i ^ 2}{b_i}} \geq \frac{ (\sum^{n}_{1}{a_i} ^ 2) }{\sum^{n}_{1}{b_i}}