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 27 Finding the sum- $x+x^{2}+x^{4}+x^{8}+x^{16}\cdots$ 14 What is $\sum\limits_{i=1}^n \sqrt i\$? 12 Can you prove why consecutive diagonal intersection points show decreasing fractions inside a rectangle? 12 Polynomials identity, factoring $x^{2^n}-1$ 11 How to transform a set of 3D vectors into a 2D plane, from a view point of another 3D vector?

### Reputation (5,761)

 +10 General solution of linear ODE +10 How to transform a set of 3D vectors into a 2D plane, from a view point of another 3D vector? +5 Iterated Root Mean Square-Arithmetic Mean +10 Why General Leibniz rule and Newton's Binomial are so similar?

### Questions (95)

 47 To evaluate $\int_0^{+\infty} \frac{\;\mathrm dx}{\sqrt[3]{x^3+a^3}\sqrt[3]{x^3+b^3}\sqrt[3]{x^3+c^3}}$ 18 How can we prove $\pi =1+\frac{1}{2}+\frac{1}{3}+\frac{1}{4}-\frac{1}{5}+\frac{1}{6}+\frac{1}{7}+\cdots\,$? 17 How many different numbers can be written if each used digit symbol is used at least 2 times? 17 Addition formula for $f_n(x+y)$ in closed form. 15 Can we prove that all equations can be solved via complex numbers?

### Tags (107)

 94 calculus × 29 29 algebra-precalculus × 11 58 sequences-and-series × 39 27 recurrence-relations × 5 49 summation × 6 26 definite-integrals × 12 39 geometry × 28 23 differential-equations × 37 32 integration × 29 22 complex-analysis × 13

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 Mathematics 5,761 rep 21752 Physics 282 rep 310 MathOverflow 157 rep 27 Game Development 111 rep 4 Stack Overflow 101 rep 13