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Reverse mathematics is a program in mathematical logic that seeks to determine which axioms are required to prove theorems of mathematics. Its defining method can briefly be described as "going backwards from the theorems to the axioms", in contrast to the ordinary mathematical practice of deriving theorems from axioms.
The Gartner hype cycle is a graphical presentation developed, used and branded by the American research, advisory and information technology firm Gartner to represent the maturity, adoption, and social application of specific technologies. The hype cycle claims to provide a graphical and conceptual presentation of the maturity of emerging ...
Phenylacetic acid undergoes ketonic decarboxylation to form ketones. [7] It can be condensed with itself to form dibenzyl ketone , or with a large excess of another carboxylic acid (in the form of an acid anhydride ), such as with acetic anhydride to form phenylacetone .
In mathematics, the Navier–Stokes equations are a system of nonlinear partial differential equations for abstract vector fields of any size. In physics and engineering, they are a system of equations that model the motion of liquids or non-rarefied gases (in which the mean free path is short enough so that it can be thought of as a continuum mean instead of a collection of particles) using ...
Application forms are the second most common hiring instrument next to personal interviews. [9] Companies will occasionally use two types of application forms, short and long. [citation needed] They help companies with initial screening and the longer form can be used for other purposes as well [clarify]. The answers that applicants choose to ...
The distributions of a wide variety of physical, biological, and human-made phenomena approximately follow a power law over a wide range of magnitudes: these include the sizes of craters on the moon and of solar flares, [2] cloud sizes, [3] the foraging pattern of various species, [4] the sizes of activity patterns of neuronal populations, [5] the frequencies of words in most languages ...
Addie Viola Smith (1893–1975) was an American attorney who served as the U.S. trade commissioner to Shanghai from 1928 to 1939, the first female Foreign Service officer in the U.S. Foreign Service to work under the Commerce Department, and the first woman to serve as trade commissioner.
A surprising fact about the solution of this model is coincidence of the exactly obtained transition probability matrix with its form obtained with a simple semiclassical independent crossing approximation. With some generalizations, this property appears in almost all solvable Landau–Zener systems with a finite number of interacting states.