For historical reasons and in order to have application to the solution of Diophantine equations, results in number theory have been scrutinised more than in other branches of mathematics to see if their content is effectively computable[citation needed]. Where it is asserted that some list of integers is finite, the question is whether in principle the list could be printed out after a machine computation.
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reasons and in order to have application to the solution of Diophantine equations, resultsinnumbertheory have been scrutinised more than in other branches...
In logic, mathematics and computer science, especially metalogic and computability theory, an effective method or effective procedure is a procedure for...
compactness theorem Mahler measure Effectiveresultsinnumbertheory Mahler's theorem Brun sieve Function field sieve General number field sieve Large sieve Larger...
fields with class number 1 (the 9 known ones, and at most one further). The result was ineffective (see effectiveresultsinnumbertheory): it did not give...
In physics, an effective field theory is a type of approximation, or effectivetheory, for an underlying physical theory, such as a quantum field theory...
degree Effectiveresultsinnumbertheory Diophantine set Matiyasevich's theorem Word problem for groups Arithmetical hierarchy Subrecursion theory Presburger...
supply" and developing a comprehensive theory of effective demand. According to Keynesian economics, weak demand resultsin unplanned accumulation of inventories...
and a constant d, in terms of the coupling g(M) at a reference scale M. Gell-Mann and Low realized in these results that the effective scale can be arbitrarily...
an effective procedure. In group theory, a group element acts effectively (or faithfully) on a point, if that point is not fixed by the action. In physics...
In political science, the effectivenumber of parties is a diversity index introduced by Laakso and Taagepera (1979) which provides for an adjusted number...
The Excellence theory is a general theory of public relations that “specifies how public relations makes organizations more effective, how it is organized...
versions of string theory are subsumed in a single framework known as M-theory. Studies of string theory have also yielded a number of results on the nature...
In quantum field theory, the quantum effective action is a modified expression for the classical action taking into account quantum corrections while ensuring...
to topological field theory. In condensed matter physics, topological quantum field theories are the low-energy effectivetheories of topologically ordered...
Innumbertheory, the study of Diophantine approximation deals with the approximation of real numbers by rational numbers. It is named after Diophantus...
computability and definability. In these areas, computability theory overlaps with proof theory and effective descriptive set theory. Basic questions addressed...
contributions to a number of effective altruist organizations, but it was shut down in November 2022 when FTX collapsed. A number of books and articles...
Density functional theory (DFT) is a computational quantum mechanical modelling method used in physics, chemistry and materials science to investigate...
Expectancy theory (or expectancy theory of motivation) proposes that an individual will behave or act in a certain way because they are motivated to select...
on explaining what methods it uses to be effective. Theory of Change as a concept has strong roots in a number of disciplines, including environmental...
hyperarithmetical theory. In many cases, results of classical descriptive set theory have effective versions; in some cases, new results are obtained by...
In theoretical computer science and mathematics, the theory of computation is the branch that deals with what problems can be solved on a model of computation...
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