In computational complexity theory, polynomial creativity is a theory analogous to the theory of creative sets in recursion theory and mathematical logic...

Deborah Joseph and Paul Young (1985) formulated an analogous concept, polynomial creativity, in computational complexity theory, and used it to provide potential...

differential geometry. They can also be defined as implicit equations, often polynomial equations (which spawned algebraic geometry). Analytic geometry also makes...

empty |title= (help) Gaffke, N. & Heiligers, B. "Approximate Designs for Polynomial Regression: Invariance, Admissibility, and Optimality". pp. 1149–1199...

of curves and surfaces given by a set of points using polynomial, rational, piecewise polynomial, or piecewise rational methods. The most important instruments...

Integral Calculus, Theory of Functions and II: Theory of Functions. Zeros. Polynomials. Determinants. Number Theory. Geometry). Later in his career, he spent...

polyominoes, such as the mutilated chessboard problem, can be solved in polynomial time, either by converting them into problems in group theory, or as instances...

it became a common technique to gain insight into integer solutions of polynomial equations using rings of algebraic numbers of higher degree. For instance...

Elsevier Publishing Co. ISBN 978-0-444-00020-0. Ivakhnenko, Alexey (1971). "Polynomial theory of complex systems" (PDF). IEEE Transactions on Systems, Man, and...

(3,4) case is the square root of the smaller of two real roots of the polynomial 4 x 4 − 28 x 3 − 7 x 2 + 16 x + 16 {\displaystyle 4x^{4}-28x^{3}-7x^{2}+16x+16}...

strongly confluent rewriting system is necessarily confluent. Reduction of polynomials modulo an ideal is a confluent rewrite system provided one works with...

abbreviations. During antiquity and the medieval periods, bursts of mathematical creativity were often followed by centuries of stagnation. As the early modern age...

dissertation entitled Complex Variable and Harmonic Functions Representation by Polynomial Series, and was appointed a Professor of Moscow State University. In 1943...

first published paper was On the position of zeroes of certain minimum polynomials, co-authored with Michael Fekete and published when von Neumann was 18...

Textiles, defining weaving patterns based on the expansion of multivariate polynomials. The mathematician Daina Taimiņa demonstrated features of the hyperbolic...

New Hacker's Dictionary, p. 18 (MIT Press 1996). Munat, Judith. Lexical Creativity, Texts and Context, p. 148 (John Benjamins Publishing, 2007). Gabbay,...

complex values, this may cause problems. Exponential integral Hermite polynomial: 775  Ambiguous expressions often appear in physical and mathematical...

theory, developed in the early 1800s for the sole purpose of solving polynomial equations, became a fruitful way of categorizing elementary particles—the...

cryptanalysis. For example, Shor's Algorithm could factor large numbers in polynomial time, in effect breaking some commonly used forms of public-key encryption...

equation of a curve based on mathematical series such as Fourier series and polynomial expansions rapidly and without requiring knowledge of mathematics except...

(modular form) Poincaré space Poincaré metric Poincaré plot Poincaré polynomial Poincaré series Poincaré sphere Poincaré–Einstein synchronisation Poincaré–Lelong...

be associated with a set of solutions of polynomial length, whose validity can be tested quickly (in polynomial time), such that the output for any input...

provable guarantees. Although the Dead-end elimination algorithm runs in polynomial time on each iteration, it cannot guarantee convergence. If, after a certain...

Burger, Edward B. (2000). "Diophantine Olympics and World Champions: Polynomials and Primes Down Under". The American Mathematical Monthly. 107 (9). Informa...

game semantics Leonard Adleman – RSA, DNA computing Manindra Agrawal – polynomial-time primality testing Luis von Ahn – human-based computation Alfred Aho...

German) The Electronic News Net of the SIAM Activity Group on Orthogonal Polynomials and Special Functions Renowned toxicologist Lin Chieh-liang dies from...