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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.
Fractions of a degree may be written in normal decimal notation (e.g., 3.5° for three and a half degrees), but the "minute" and "second" sexagesimal subunits of the "degree–minute–second" system (discussed next) are also in use, especially for geographical coordinates and in astronomy and ballistics (n = 360) arcminute: 21,600: 0°1′
[157] [158] A von Neumann algebra is a *-algebra of bounded operators on a Hilbert space that is closed in the weak operator topology and contains the identity operator. [159] The von Neumann bicommutant theorem shows that the analytic definition is equivalent to a purely algebraic definition as being equal to the bicommutant. [160]
The fugacity of a condensed phase (liquid or solid) is defined the same way as for a gas: = and = It is difficult to measure fugacity in a condensed phase directly; but if the condensed phase is saturated (in equilibrium with the vapor phase), the chemical potentials of the two phases are equal (μ c = μ g).
How do animals obtain water in the winter when water sources are frozen. Some hibernate; that's all I know. Melchoir 01:09, 1 May 2006 (UTC) []. Although this is a very silly question for us Canadians, I actually found a quote: "Studies in Canada have shown some cows have gone 50 to 60 days with snow as the sole water source without any adverse effects.
Artificial intelligence (AI), in its broadest sense, is intelligence exhibited by machines, particularly computer systems.It is a field of research in computer science that develops and studies methods and software that enable machines to perceive their environment and use learning and intelligence to take actions that maximize their chances of achieving defined goals. [1]
A modern consumer CPU made by Intel: An Intel Core i9-14900KF Inside a central processing unit: The integrated circuit of Intel's Xeon 3060, first manufactured in 2006. A central processing unit (CPU), also called a central processor, main processor, or just processor, is the primary processor in a given computer.
The Drake equation has proved controversial since, although it is written as a math equation, none of its values were known at the time. Although some values may eventually be measured, others are based on social sciences and are not knowable by their very nature. [36] This does not allow one to make noteworthy conclusions from the equation. [37]
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