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Many mathematical problems have been stated but not yet solved. These problems come from many areas of mathematics, such as theoretical physics, computer science, algebra, analysis, combinatorics, algebraic, differential, discrete and Euclidean geometries, graph theory, group theory, model theory, number theory, set theory, Ramsey theory, dynamical systems, and partial differential equations.
The cells in the human body are not outnumbered 10 to 1 by microorganisms. The 10 to 1 ratio was an estimate made in 1972; current estimates put the ratio at either 3 to 1 or 1.3 to 1. [299] The total length of capillaries in the human body is not 100,000 km.
The P versus NP problem, which remains open to this day, is also important for discrete mathematics, since its solution would potentially impact a large number of computationally difficult problems. [45] Discrete mathematics includes: [14] Combinatorics, the art of enumerating mathematical objects that satisfy some given constraints.
Plato (428/427 BC – 348/347 BC) is important in the history of mathematics for inspiring and guiding others. [52] His Platonic Academy, in Athens, became the mathematical center of the world in the 4th century BC, and it was from this school that the leading mathematicians of the day, such as Eudoxus of Cnidus (c. 390 - c. 340 BC), came. [53]
A solution to all of these overlapping problems came from the discovery of a previously unnoticed borderline case hidden in the mathematics of Goldstone's theorem, [o] that under certain conditions it might theoretically be possible for a symmetry to be broken without disrupting gauge invariance and without any new massless particles or forces ...
Part of a series on Science General History Literature Method Philosophy Branches Formal Natural Physical Life Social Applied In society Communication Community Education Funding Policy Pseudoscience Scientist Science portal Outline Category Article indexes Glossaries The history of science covers the development of science from ancient times to the present. It encompasses all three major ...
Philosophy is a systematic study of general and fundamental questions concerning topics like existence, reason, knowledge, value, mind, and language.It is a rational and critical inquiry that reflects on its methods and assumptions.
There was a slight increase in women in computer science from the 2000s to the 2010s, as around 12% of computer science majors were women in the mid-2000s. [9] Bumble co-founder Alex Williamson has claimed that "While some young girls show interest in coding and computer-related areas at an early age, they are pushed out of those areas the ages ...