Search results
Results from the WOW.Com Content Network
The Millennium Prize Problems are seven unsolved mathematical problems that the Clay Mathematics Institute has offered US$ 1 million prizes for. The only solved problem is the Poincaré conjecture, while the others remain open despite many attempts and controversies.
Learn about two related problems in recreational mathematics involving a tethered goat grazing a circular area: the interior grazing problem and the exterior grazing problem. Find out how to solve them using trigonometry, geometry or calculus.
A well-known ancient Egyptian mathematical text from the Second Intermediate Period, copied by the scribe Ahmes in 1550 BC. It contains problems and tables on arithmetic, algebra, geometry, and fractions, as well as a historical note on its origin.
Goldbach’s Conjecture. One of the greatest unsolved mysteries in math is also very easy to write. Goldbach’s Conjecture is, “Every even number (greater than two) is the sum of two primes ...
In decision problem versions of the art gallery problem, one is given as input both a polygon and a number k, and must determine whether the polygon can be guarded with k or fewer guards. This problem is ∃ R {\displaystyle \exists \mathbb {R} } -complete , as is the version where the guards are restricted to the edges of the polygon. [ 10 ]
Packing problems involve attempting to pack objects together into containers, either densely or with few containers. Learn about different types of packing problems, such as bin packing, sphere packing, circle packing, and covering problems.
Reprint of 1935 edition. A problem on page 101 describes the shape formed by a sphere with a cylinder removed as a "napkin ring" and asks for a proof that the volume is the same as that of a sphere with diameter equal to the length of the hole. Pólya, George (1990), Mathematics and Plausible Reasoning, Vol.
Learn how mathematics and geometry have influenced and been used in various arts, from ancient Greece to modern times. Explore the examples of sculpture, painting, architecture, textile, and computer art that employ mathematical concepts and objects.