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2. Koobits - Wikipedia

   en.wikipedia.org/wiki/Koobits

   KooBits (stylised as KooBits with capitalised K and B) designs and builds digital products for children and educators. KooBits was founded in 2016 by current CEO Stanley, with Professor Sam Ge Shuzhi and Dr Chen Xiangdong. [1] The trio saw an opportunity in the rapid growth of the ebook industry and decided to focus on creating software for ...

3. Problems, Problems, Problems - Wikipedia

   en.wikipedia.org/wiki/Problems,_Problems,_Problems

   Print ( paperback) Problems, Problems, Problems is a series of educational mathematics textbooks ranging from grade 7-12. The math questions are from previous math contests held by the Centre for Education in Mathematics and Computing at the University of Waterloo. The series is a resource to complement the Canadian high school curriculum and ...

4. 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 ...

5. Smale's problems - Wikipedia

   en.wikipedia.org/wiki/Smale's_problems

   Smale's problems are a list of eighteen unsolved problems in mathematics proposed by Steve Smale in 1998 and republished in 1999. Smale composed this list in reply to a request from Vladimir Arnold , then vice-president of the International Mathematical Union , who asked several mathematicians to propose a list of problems for the 21st century.

6. List of trigonometric identities - Wikipedia

   en.wikipedia.org/wiki/List_of_trigonometric...

   Ptolemy's theorem states that the sum of the products of the lengths of opposite sides is equal to the product of the lengths of the diagonals. When those side-lengths are expressed in terms of the sin and cos values shown in the figure above, this yields the angle sum trigonometric identity for sine: sin(α + β) = sin α cos β + cos α sin β.

7. Hilbert's tenth problem - Wikipedia

   en.wikipedia.org/wiki/Hilbert's_tenth_problem

   Hilbert's tenth problem is the tenth on the list of mathematical problems that the German mathematician David Hilbert posed in 1900. It is the challenge to provide a general algorithm that, for any given Diophantine equation (a polynomial equation with integer coefficients and a finite number of unknowns), can decide whether the equation has a solution with all unknowns taking integer values.