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Hilbert's nineteenth problem. Hilbert's nineteenth problem is one of the 23 Hilbert problems, set out in a list compiled by David Hilbert in 1900. [1] It asks whether the solutions of regular problems in the calculus of variations are always analytic. [2] Informally, and perhaps less directly, since Hilbert's concept of a " regular variational ...
The following are the headers for Hilbert's 23 problems as they appeared in the 1902 translation in the Bulletin of the American Mathematical Society. [1] 1. Cantor's problem of the cardinal number of the continuum. 2. The compatibility of the arithmetical axioms. 3. The equality of the volumes of two tetrahedra of equal bases and equal altitudes.
In mathematics, Hilbert's program, formulated by German mathematician David Hilbert in the early 1920s, [1] was a proposed solution to the foundational crisis of mathematics, when early attempts to clarify the foundations of mathematics were found to suffer from paradoxes and inconsistencies. As a solution, Hilbert proposed to ground all ...
Hilbert's tenth problem is the tenth on the list of mathematical problems that the German mathematician David Hilbert posed in 1900. It is the challenge to provide a general algorithm that, for any given Diophantine equation (a polynomial equation with integer coefficients and a finite number of unknowns), can decide whether the equation has a solution with all unknowns taking integer values.
Julia Hall Bowman Robinson (December 8, 1919 – July 30, 1985) was an American mathematician noted for her contributions to the fields of computability theory and computational complexity theory —most notably in decision problems. Her work on Hilbert's tenth problem (now known as Matiyasevich 's theorem or the MRDP theorem) played a crucial ...
t. e. The Millennium Prize Problems are seven well-known complex mathematical problems selected by the Clay Mathematics Institute in 2000. The Clay Institute has pledged a US $1 million prize for the first correct solution to each problem. The Clay Mathematics Institute officially designated the title Millennium Problem for the seven unsolved ...
Hilbert's fifteenth problem. Hilbert's sixteenth problem. Hilbert's seventeenth problem. Hilbert's eighteenth problem. Hilbert's nineteenth problem. Hilbert's twentieth problem. Hilbert's twenty-first problem. Hilbert's twenty-second problem. Hilbert's twenty-third problem.
Riemann–Hilbert problem. In mathematics, Riemann–Hilbert problems, named after Bernhard Riemann and David Hilbert, are a class of problems that arise in the study of differential equations in the complex plane. Several existence theorems for Riemann–Hilbert problems have been produced by Mark Krein, Israel Gohberg and others.