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2. Koobits - Wikipedia

   en.wikipedia.org/wiki/Koobits

   KooBits was founded in 2016 by current CEO Stanley, with Professor Sam Ge Shuzhi and Dr Chen Xiangdong. The trio saw an opportunity in the rapid growth of the ebook industry and decided to focus on creating software for interactive enhanced ebooks. Currently, KooBits is focused on education technology for primary mathematics learning. History

3. Sums of three cubes - Wikipedia

   en.wikipedia.org/wiki/Sums_of_three_cubes

   In the mathematics of sums of powers, it is an open problem to characterize the numbers that can be expressed as a sum of three cubes of integers, allowing both positive and negative cubes in the sum. A necessary condition for an integer to equal such a sum is that cannot equal 4 or 5 modulo 9, because the cubes modulo 9 are 0, 1, and −1, and ...

4. Sum and Product Puzzle - Wikipedia

   en.wikipedia.org/wiki/Sum_and_Product_Puzzle

   The problem is rather easily solved once the concepts and perspectives are made clear. There are three parties involved, S, P, and O. S knows the sum X+Y, P knows the product X·Y, and the observer O knows nothing more than the original problem statement. All three parties keep the same information but interpret it differently.

5. Waring's problem - Wikipedia

   en.wikipedia.org/wiki/Waring's_problem

   Waring's problem. In number theory, Waring's problem asks whether each natural number k has an associated positive integer s such that every natural number is the sum of at most s natural numbers raised to the power k. For example, every natural number is the sum of at most 4 squares, 9 cubes, or 19 fourth powers.

6. Addition principle - Wikipedia

   en.wikipedia.org/wiki/Addition_principle

   Addition principle. 5+0=5 illustrated with collections of dots. In combinatorics, the addition principle [1] [2] or rule of sum [3] [4] is a basic counting principle. Stated simply, it is the intuitive idea that if we have A number of ways of doing something and B number of ways of doing another thing and we can not do both at the same time ...

7. List of mathematical series - Wikipedia

   en.wikipedia.org/wiki/List_of_mathematical_series

   List of mathematical series. This list of mathematical series contains formulae for finite and infinite sums. It can be used in conjunction with other tools for evaluating sums. is a Bernoulli polynomial. is an Euler number. is the Riemann zeta function. is the gamma function. is a polygamma function. is a polylogarithm.

8. Faulhaber's formula - Wikipedia

   en.wikipedia.org/wiki/Faulhaber's_formula

   Faulhaber's formula concerns expressing the sum of the p -th powers of the first n positive integers. as a ( p + 1)th-degree polynomial function of n . The first few examples are well known. For p = 0, we have. The coefficients of Faulhaber's formula in its general form involve the Bernoulli numbers Bj.

9. Abel's summation formula - Wikipedia

   en.wikipedia.org/wiki/Abel's_summation_formula

   For this sequence, Abel's summation formula simplifies to. Similarly, for the sequence and for all , the formula becomes. Upon taking the limit as , we find. assuming that both terms on the right-hand side exist and are finite. Abel's summation formula can be generalized to the case where is only assumed to be continuous if the integral is ...