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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 repeating decimal commonly written as 0.999... represents exactly the same quantity as the number one. Despite having the appearance of representing a smaller number, 0.999... is a symbol for the number 1 in exactly the same way that 0.333... is an equivalent notation for the number represented by the fraction 1 ⁄ 3. [437]
When rolling two standard six-sided dice, seven has a 1 in 6 probability of being rolled, the greatest of any number. [39] The opposite sides of a standard six-sided die always add to 7. The Millennium Prize Problems are seven problems in mathematics that were stated by the Clay Mathematics Institute in 2000. [40]
The Intermediate Math League of Eastern Massachusetts (or IMLEM) is a math league for middle schools across Eastern Massachusetts. A brief history of IMLEM is given in its By-Laws: [ 1 ] The first contest of the Intermediate Math League was held in March, 1965.
According to a 2008 mental health study by the Associated Press and mtvU, [47] eight in 10 U.S. college students said they had sometimes or frequently experienced stress in their daily lives. This was an increase of 20% from a survey five years previously.
The metre is the length equal to 1 650 763.73 wavelengths in vacuum of the radiation corresponding to the transition between the levels 2p 10 and 5d 5 of the krypton 86 atom. The measurement of the wavelength of the krypton line was not made directly against the international prototype metre; instead, the ratio of the wavelength of the krypton ...