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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Lombardi, H.: Théorème effectif des zéros réel et variantes. Publications mathématiques de besançon 1 (1988--1989) Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Effectivity, complexity and computational aspects of algebraic geometry, Relevant commutative algebra
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Alling, Norman L., Foundations of analysis over surreal number fields, Notas de Matemática [Mathematical Notes], 117, xvi+373 pp., (1987), North-Holland Publishing Co., Amsterdam Research exposition (monographs, survey articles) pertaining to field theory, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Valued fields, Miscellaneous topics in real functions, Real algebraic and real-analytic geometry, Ordered fields
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Projective and free modules and ideals in commutative rings, Stability for projective modules, Effectivity, complexity and computational aspects of algebraic geometry, Other constructive mathematics, Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases)
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases), Polynomial rings and ideals; rings of integer-valued polynomials, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Solernó, Effective Łojasiewicz inequalities in semialgebraic geometry, Appl Algebra Eng Commun Comput 2 pp 1-- (1990) Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation, Semialgebraic sets and related spaces
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Semialgebraic sets and related spaces, Effectivity, complexity and computational aspects of algebraic geometry, Randomized algorithms, Symbolic computation and algebraic computation
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Ludwig Bröcker, Spaces of orderings and semialgebraic sets, Quadratic and Hermitian forms (Hamilton, Ont., 1983) CMS Conf. Proc., vol. 4, Amer. Math. Soc., Providence, RI, 1984, pp. 231 -- 248. Real algebraic and real-analytic geometry, Forms over real fields, Ordered fields, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.)
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Other constructive mathematics, Computational aspects of algebraic curves, Symbolic computation and algebraic computation
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Semialgebraic sets and related spaces, Semidefinite programming, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Effectivity, complexity and computational aspects of algebraic geometry, Length, area, volume, other geometric measure theory, Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation, Integral geometry, Numerical integration, Approximation methods and heuristics in mathematical programming
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Ceria, M.; Mora, T.; Roggero, M., Term-ordering free involutive bases, J. Symbolic Comput., 68, 87-108, (2015) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases), Symbolic computation and algebraic computation, Polynomial rings and ideals; rings of integer-valued polynomials, Parametrization (Chow and Hilbert schemes), Effectivity, complexity and computational aspects of algebraic geometry, History of commutative algebra, History of mathematics in the 20th century
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Weispfenning, V., Comprehensive Gröbner bases, Journal of Symbolic Computation, 14, 1-29, (1992) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases), Polynomial rings and ideals; rings of integer-valued polynomials, Symbolic computation and algebraic computation, Effectivity, complexity and computational aspects of algebraic geometry
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Zeng, G.: Valuations and convex subrings of a commutative ring with higher level preordering. Math. Z. 237, 219-234 (2001) Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Ordered fields, Valuations and their generalizations for commutative rings, General valuation theory for fields, Ordered rings, Forms of degree higher than two, Real algebraic sets
| 0
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Other constructive mathematics, Sheaves in algebraic geometry, Computational aspects of algebraic curves, Symbolic computation and algebraic computation
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Research exposition (monographs, survey articles) pertaining to algebraic geometry, Real algebraic sets, Effectivity, complexity and computational aspects of algebraic geometry, Parallel algorithms in computer science, Symbolic computation and algebraic computation
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation E. Becker, R. Berr, F. Delon, D. Gondard, Hilbert's 17-th problem for sums of 2n-th powers, preprint Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Forms of degree higher than two, Valued fields, Ordered fields
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Ordered fields, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Rational points, Foundations of classical theories (including reverse mathematics), Model-theoretic algebra, Real algebraic and real-analytic geometry, Separable extensions, Galois theory
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation S. Basu. On bounding the Betti numbers and computing the Euler characteristic of semi-algebraic sets. \textit{Discrete Comput. Geom}., 22(1):1-18, 1999. Effectivity, complexity and computational aspects of algebraic geometry, Semialgebraic sets and related spaces, Analysis of algorithms and problem complexity, Symbolic computation and algebraic computation
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Kogan, I. A.; Moreno Maza, M.; T, M. (ed.), Computation of canonical forms for ternary cubics, 151-160, (2002), New York Computer graphics; computational geometry (digital and algorithmic aspects), Symbolic computation and algebraic computation, Effectivity, complexity and computational aspects of algebraic geometry
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Effectivity, complexity and computational aspects of algebraic geometry, Real algebraic sets, Symbolic computation and algebraic computation
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Semialgebraic sets and related spaces, Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Ordered fields
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Research exposition (monographs, survey articles) pertaining to algebraic geometry, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Real algebraic and real-analytic geometry, Real algebra, Other constructive mathematics
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Geometric aspects of numerical algebraic geometry, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation External book reviews, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to computer science, Research exposition (monographs, survey articles) pertaining to algebraic geometry, Effectivity, complexity and computational aspects of algebraic geometry, Computational difficulty of problems (lower bounds, completeness, difficulty of approximation, etc.), Analysis of algorithms and problem complexity, Symbolic computation and algebraic computation
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Brownawell, W. D.: Distance to common zeros and lower bounds for polynomials, , 51-60 (1992) Diophantine approximation, transcendental number theory, Effectivity, complexity and computational aspects of algebraic geometry, Holomorphic functions of several complex variables
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Effectivity, complexity and computational aspects of algebraic geometry, Projective techniques in algebraic geometry
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Fortuna, E., Gianni, P., Parenti, P., Traverso, C.: Algorithms to compute the topology of orientable real algebraic surfaces. J. Symbolic Comput. 36(3--4), 343--364 (2003) Computational aspects of algebraic surfaces, Topology of real algebraic varieties, Symbolic computation and algebraic computation
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Acquistapace, F.; Andradas, C.; Broglia, F.: Separation of semialgebraic sets. J. amer. Math. soc. 12, No. 3, 703-728 (1999) Semialgebraic sets and related spaces, Decidability of theories and sets of sentences, Software, source code, etc. for problems pertaining to algebraic geometry, Symbolic computation and algebraic computation
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Symbolic computation and algebraic computation, Extension theory of commutative rings, Algebraic functions and function fields in algebraic geometry, Differential algebra, Divisors, linear systems, invertible sheaves, Software, source code, etc. for problems pertaining to measure and integration, Software, source code, etc. for problems pertaining to algebraic geometry
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Multilinear algebra, tensor calculus, Algebraic systems of matrices, Vector and tensor algebra, theory of invariants, Effectivity, complexity and computational aspects of algebraic geometry, Fano varieties, Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases), Numerical algebraic geometry
| 0
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Computational difficulty of problems (lower bounds, completeness, difficulty of approximation, etc.), Polynomials, factorization in commutative rings, Secant varieties, tensor rank, varieties of sums of powers, Symbolic computation and algebraic computation
| 0
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation B. Bank, M. Giusti, J. Heintz, L. Lehmann, and L. M. Pardo, \textit{Algorithms of intrinsic complexity for point searching in compact real singular hypersurfaces}, Found. Comput. Math. \textbf{12} (2012), no. 1, 75-122. Real algebraic sets, Singularities in algebraic geometry, Deformations of singularities, Symbolic computation and algebraic computation
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Zhang F., Wang P.: Speeding up elliptic curve discrete logarithm computations with point halving. Des. Codes Cryptogr. \textbf{67}(2), 197-208 (2013) Number-theoretic algorithms; complexity, Algebraic coding theory; cryptography (number-theoretic aspects), Curves over finite and local fields, Effectivity, complexity and computational aspects of algebraic geometry, Analysis of algorithms and problem complexity
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Strzeboński, A., Cylindrical decomposition for systems transcendental in the first variable, J. symb. comput., 46, 11, 1284-1290, (2011) Computational aspects in algebraic geometry, Real-analytic and semi-analytic sets, Symbolic computation and algebraic computation
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Differential algebra, Effectivity, complexity and computational aspects of algebraic geometry
| 0
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation J. Colliot-Thélène, ''Principe local-global pour les zéro-cycles sur les surfaces réglées,'' J. Amer. Math. Soc., vol. 13, iss. 1, pp. 101-127, 2000. (Equivariant) Chow groups and rings; motives, Brauer groups of schemes, Algebraic cycles, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Arithmetic ground fields for surfaces or higher-dimensional varieties, Global ground fields in algebraic geometry, Varieties over global fields, Rational and ruled surfaces
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Lazarsfeld R, Pareschi G, Popa M: Local positivity, multiplier ideals, and syzygies of abelian varieties. Algebra Number Theory 2011,5(2):185--196. 10.2140/ant.2011.5.185 Algebraic theory of abelian varieties, Effectivity, complexity and computational aspects of algebraic geometry, Vanishing theorems in algebraic geometry, Syzygies, resolutions, complexes and commutative rings
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation T. Aliashvili, ''Counting real roots of polynomial endomorphisms,'' J. Math. Sci., 118, 5325--5346 (2003). Effectivity, complexity and computational aspects of algebraic geometry, Real algebraic and real-analytic geometry, Polynomials and rational functions of one complex variable, Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral)
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Multilinear algebra, tensor calculus, Computational difficulty of problems (lower bounds, completeness, difficulty of approximation, etc.), Analysis of algorithms and problem complexity, Nonnumerical algorithms, Graph algorithms (graph-theoretic aspects), Effectivity, complexity and computational aspects of algebraic geometry
| 0
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Differential algebra, Difference algebra, Quantifier elimination, model completeness, and related topics, Effectivity, complexity and computational aspects of algebraic geometry
| 0
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Computational aspects in algebraic geometry, Global methods, including homotopy approaches to the numerical solution of nonlinear equations, Symbolic computation and algebraic computation
| 0
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Polynomials, factorization in commutative rings, Symbolic computation and algebraic computation, Plane and space curves, Computational aspects of algebraic curves
| 0
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Proceedings of conferences of miscellaneous specific interest, Proceedings, conferences, collections, etc. pertaining to computer science, Symbolic computation and algebraic computation, Algebraic number theory computations, Computational aspects of algebraic curves, Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases)
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Minimair, M., 2001. Sparse resultants of composed polynomials. Ph.D. Thesis, North Carolina State University, Raleigh, NC, USA Computational aspects of algebraic surfaces, Symbolic computation and algebraic computation
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Symbolic computation and algebraic computation, Real algebraic sets, Computer graphics; computational geometry (digital and algorithmic aspects)
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Gatermann, K.; Eiswirth, M.; Sensse, A., Toric ideals and graph theory to analyze hopf bifurcations in mass action systems, J. Symb. Comput., \textbf{40}, 1361-1382, (2005) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases), Symbolic computation and algebraic computation, Toric varieties, Newton polyhedra, Okounkov bodies, Graphs and linear algebra (matrices, eigenvalues, etc.), Bifurcation theory for ordinary differential equations, Bifurcations of limit cycles and periodic orbits in dynamical systems, Chemical kinetics in thermodynamics and heat transfer, Classical flows, reactions, etc. in chemistry
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Ruiz, J.: Central orderings in fields of real meromorphic function germs. Preprint (1984) Real algebraic and real-analytic geometry, Real-analytic manifolds, real-analytic spaces, Germs of analytic sets, local parametrization, Real-analytic functions, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.)
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Symbolic computation and algebraic computation, Semialgebraic sets and related spaces, Semidefinite programming
| 0
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases), Commutative rings and modules of finite generation or presentation; number of generators, Semialgebraic sets and related spaces, Polynomial rings and ideals; rings of integer-valued polynomials, Symbolic computation and algebraic computation
| 0
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Topology of real algebraic varieties, Computational aspects in algebraic geometry, Symbolic computation and algebraic computation, Pfaffian systems
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Applications of commutative algebra (e.g., to statistics, control theory, optimization, etc.), Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies), Semidefinite programming, Symbolic computation and algebraic computation, Classical problems, Schubert calculus
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Toric varieties, Newton polyhedra, Okounkov bodies, Computational aspects of higher-dimensional varieties, Point estimation, Symbolic computation and algebraic computation, Applications of commutative algebra (e.g., to statistics, control theory, optimization, etc.)
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Effectivity, complexity and computational aspects of algebraic geometry, Numerical aspects of computer graphics, image analysis, and computational geometry, Computational learning theory
| 0
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Tabera, Luis Felipe, Computing hypercircles by moving hyperplanes, J. Symbolic Comput., 0747-7171, 50, 450-464, (2013) Computational aspects of algebraic curves, Symbolic computation and algebraic computation
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Basu, S., Riener, C.: Efficient algorithms for computing the Euler-Poincaré characteristic of symmetric semi-algebraic sets. Ordered Algebraic Structures and Related Topics, Contemporary Mathematics, vol. 697, pp. 51-79. American Mathematical Society, Providence, RI (2017) Semialgebraic sets and related spaces, Topology of real algebraic varieties, Effectivity, complexity and computational aspects of algebraic geometry
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases), Foundations of tropical geometry and relations with algebra, Symbolic computation and algebraic computation
| 0
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Gondard-Cozette, D.: Chainable fields and real algebraic geometry. Lecture notes in math. 1420 (1990) Ordered fields, Real algebraic sets, Real and complex fields
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Castro-Jiménez, F.J., Ucha-Enríquez, J.M. Testing the Logarithmic Comparison Theorem In preparation. Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials, de Rham cohomology and algebraic geometry, Sheaves of differential operators and their modules, \(D\)-modules, Symbolic computation and algebraic computation, Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases)
| 0
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Li D, Qi L, Zhou S (2002) Descent directions of quasi-Newton methods for symmetric nonlinear equations. SIAM J Numer Anal 40(5): 1763--1774 Grassmannians, Schubert varieties, flag manifolds, Computational aspects of higher-dimensional varieties, Numerical computation of solutions to systems of equations, Symbolic computation and algebraic computation, Enumerative problems (combinatorial problems) in algebraic geometry
| 0
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Computational aspects of higher-dimensional varieties, Global theory and resolution of singularities (algebro-geometric aspects), Symbolic computation and algebraic computation
| 0
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Hara, N., A characteristic \(p\) analog of multiplier ideals and applications, Commun. Algebra, 33, 3375-3388, (2005) Characteristic \(p\) methods (Frobenius endomorphism) and reduction to characteristic \(p\); tight closure, Regular local rings, Effectivity, complexity and computational aspects of algebraic geometry
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation S. Burgdorf, I. Klep, and J. Povh, \textit{Optimization of Polynomials in Non-Commuting Variables}, SpringerBriefs Math., Springer, New York, 2016. Research exposition (monographs, survey articles) pertaining to operations research and mathematical programming, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Computational aspects of associative rings (general theory), Symbolic computation and algebraic computation, Semidefinite programming, Nonconvex programming, global optimization, Semialgebraic sets and related spaces
| 0
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases), Sheaves of differential operators and their modules, \(D\)-modules, Effectivity, complexity and computational aspects of algebraic geometry, Commutative rings of differential operators and their modules
| 0
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Laurent Busé, Resultants of determinantal varieties, J. Pure Appl. Algebra 193 (2004), no. 1-3, 71 -- 97. Determinantal varieties, Syzygies, resolutions, complexes and commutative rings, Effectivity, complexity and computational aspects of algebraic geometry
| 0
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Dickenstein, A.; Emiris, I.: Multihomogeneous resultant matrices. (2002) Symbolic computation and algebraic computation, Linkage, complete intersections and determinantal ideals, Determinantal varieties
| 0
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Janusz Adamus, Edward Bierstone, and Pierre D. Milman, Geometric Auslander criterion for openness of an algebraic morphism, Bull. Lond. Math. Soc. 45 (2013), no. 5, 1060 -- 1064. Local structure of morphisms in algebraic geometry: étale, flat, etc., Effectivity, complexity and computational aspects of algebraic geometry, Commutative ring extensions and related topics
| 0
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Bates, D. J.; Newell, A. J.; Niemerg, M. E.: Decoupling highly structured polynomial systems. J. symb. Comput. 79, 508-515 (2017) Solving polynomial systems; resultants, Software, source code, etc. for problems pertaining to commutative algebra, Computational aspects in algebraic geometry, Symbolic computation and algebraic computation, Numerical computation of solutions to systems of equations, Software, source code, etc. for problems pertaining to optics and electromagnetic theory
| 0
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Enumerative problems (combinatorial problems) in algebraic geometry, Coverings of curves, fundamental group, Connections of Hopf algebras with combinatorics, Gromov-Witten invariants, quantum cohomology, Frobenius manifolds, Exact enumeration problems, generating functions, Effectivity, complexity and computational aspects of algebraic geometry
| 0
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Gebauer, R.; Kalkbrener, M.; Wall, B.; Winkler, F., CASA: A computer algebra package for constructive algebraic geometry, (), 403-410 Computational aspects of algebraic curves, Symbolic computation and algebraic computation, Computational aspects of algebraic surfaces, Real algebraic sets
| 0
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Schicho, J.: Rational parametrization of surfaces. J. Symb. Comput. 26(1), 1--30 (1998) Computational aspects of algebraic surfaces, Parallel algorithms in computer science, Symbolic computation and algebraic computation
| 0
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Applications of commutative algebra (e.g., to statistics, control theory, optimization, etc.), Problems related to evolution, Toric varieties, Newton polyhedra, Okounkov bodies, Markov processes: estimation; hidden Markov models, Effectivity, complexity and computational aspects of algebraic geometry
| 0
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Special algebraic curves and curves of low genus
| 0
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Real polynomials: analytic properties, etc., Semialgebraic sets and related spaces, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Moment problems
| 0
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation J. von zur Gathen and I. E. Shparlinski, Components and projections of curves over finite fields. InProc. 5th Int. Symp. on Algorithms and Computation ISSAC '94, vol. 834 ofSpringer Lecture Notes in Computer Science, 1994, 297?305. SIAM J. Comput., to appear. Computational aspects of algebraic curves, Symbolic computation and algebraic computation
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Oaku, T., Shiraki, Y., Takayama, N.: Algorithms for D-Modules and Numerical Analysis. Computer Mathematics, pp. 23-39. World Scientific, Singapore (2003) Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials, Sheaves of differential operators and their modules, \(D\)-modules, Symbolic computation of special functions (Gosper and Zeilberger algorithms, etc.), Computational aspects of algebraic curves, Symbolic computation and algebraic computation, Polynomials, factorization in commutative rings
| 0
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Symbolic computation and algebraic computation, Plane and space curves
| 0
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Symbolic computation and algebraic computation, Real algebraic sets, Numerical optimization and variational techniques
| 0
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Pérez-Díaz, S.; Sendra, J. R.; Sendra, J.: Distance bounds of \epsilon-points on hypersurfaces, Theoret. comput. Sci. 359, No. 1-3, 344-368 (2006) Symbolic computation and algebraic computation, Approximation algorithms, Computational aspects of algebraic surfaces, Numerical aspects of computer graphics, image analysis, and computational geometry, Computer graphics; computational geometry (digital and algorithmic aspects)
| 0
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation \beginbarticle \bauthor\binitsE. \bsnmCarlini, \bauthor\binitsM. V. \bsnmCatalisano and \bauthor\binitsL. \bsnmChiantini, \batitleProgress on the symmetric Strassen conjecture, \bjtitleJ. Pure Appl. Algebra \bvolume219 (\byear2015), no. \bissue8, page 3149-\blpage3157. \endbarticle \OrigBibText Enrico Carlini, Maria Virginia Catalisano, and Luca Chiantini, Progress on the symmetric Strassen conjecture , J. Pure Appl. Algebra 219 (2015), no. 8, 3149-3157. \endOrigBibText \bptokstructpyb \endbibitem Effectivity, complexity and computational aspects of algebraic geometry
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Binyamini, G.; Yakovenko, S., Polynomial bounds for the oscillation of solutions of Fuchsian systems, Université de Grenoble. Annales de l'Institut Fourier, 59, 2891-2926, (2009) Oscillation, growth of solutions to ordinary differential equations in the complex domain, Ordinary differential equations and connections with real algebraic geometry (fewnomials, desingularization, zeros of abelian integrals, etc.), Effectivity, complexity and computational aspects of algebraic geometry, Monodromy; relations with differential equations and \(D\)-modules (complex-analytic aspects)
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Semialgebraic sets and related spaces, Sums of squares and representations by other particular quadratic forms, Quadratic forms over local rings and fields, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Formal power series rings, Excellent rings, Analytic algebras and generalizations, preparation theorems
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation W. Decker, Ch. Lossen, \textit{Computing in Algebraic Geometry. Algorithms and Computation in Mathematics 16} (Springer, Berlin, 2006) Research exposition (monographs, survey articles) pertaining to algebraic geometry, Computational aspects in algebraic geometry, Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases), Symbolic computation and algebraic computation
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Real algebra, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Valued fields, Topology of real algebraic varieties
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Residues for several complex variables, Effectivity, complexity and computational aspects of algebraic geometry
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Geometric invariant theory, Effectivity, complexity and computational aspects of algebraic geometry, Group actions on varieties or schemes (quotients)
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation DOI: 10.1016/j.jsc.2004.03.005 Grassmannians, Schubert varieties, flag manifolds, Symbolic computation and algebraic computation
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Gregory C. Verchota, Noncoercive sums of squares in \Bbb R[\?\(_{1}\),\ldots ,\?_{\?}], J. Pure Appl. Algebra 214 (2010), no. 3, 236 -- 250. Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Sums of squares and representations by other particular quadratic forms, Real algebra, Forms over real fields, Real algebraic and real-analytic geometry, Higher-order elliptic equations, Boundary value problems for higher-order elliptic equations
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Kaltofen, E.: Computing the irreducible real factors and components of an algebraic curve. Appl. algebra eng. Comm. comput. 1, No. 2, 135-148 (1990) Computational aspects of algebraic curves, Symbolic computation and algebraic computation
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Topology of real algebraic varieties, History of mathematics in the 20th century, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Real algebra, Biographies, obituaries, personalia, bibliographies
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation J. Heintz, M.-F. Roy, and P. Solernó, \textit{Description of the connected components of a semi-algebraic set in single exponential time}, Discrete Comput. Geom., 11 (1994), pp. 121--140. Symbolic computation and algebraic computation, Semialgebraic sets and related spaces, Analysis of algorithms and problem complexity
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Computational aspects of algebraic curves, Effectivity, complexity and computational aspects of algebraic geometry, Number-theoretic algorithms; complexity
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Numerical computation of solutions to systems of equations, Computational aspects of higher-dimensional varieties, Symbolic computation and algebraic computation
| 0
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Applications of commutative algebra (e.g., to statistics, control theory, optimization, etc.), Difference algebra, Additive difference equations, Effectivity, complexity and computational aspects of algebraic geometry, Undecidability and degrees of sets of sentences
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Abhinav Kumar, Satyanarayana~V. Lokam, Vijay~M. Patankar, and Jayalal Sarma M.~N., \textit{Using elimination theory to construct rigid matrices}, Foundations of software technology and theoretical computer science--FSTTCS 2009, LIPIcs. Leibniz Int. Proc. Inform., vol.~4, Schloss Dagstuhl. Leibniz-Zent. Inform., Wadern, 2009, pp.~299-310. Computational difficulty of problems (lower bounds, completeness, difficulty of approximation, etc.), Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases), Computational aspects of algebraic surfaces, Vector spaces, linear dependence, rank, lineability, Determinants, permanents, traces, other special matrix functions, Analysis of algorithms and problem complexity, Symbolic computation and algebraic computation
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Symbolic computation and algebraic computation, Differential algebra, Schemes and morphisms
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation M. Putinar and F.-H. Vasilescu, \textit{Positive polynomials on semialgebraic sets}, C. R. Math. Acad. Sci. Paris, 328 (1999), pp. 585--589. Semialgebraic sets and related spaces, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), General theory of locally convex spaces
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Ideals and multiplicative ideal theory in commutative rings, Polynomial rings and ideals; rings of integer-valued polynomials, Computational aspects in algebraic geometry, Software, source code, etc. for problems pertaining to geometry, Symbolic computation and algebraic computation
| 0
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Topology of real algebraic varieties, Quantifier elimination, model completeness, and related topics, Symbolic computation and algebraic computation
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Henry, J. P. G., & Merle, M. (1987). Complexity of computation of embedded resolution of algebraic curves. In J. H. Davenport (Ed.),\textit{Lecture notes in computer science 378}, \textit{EUROCAL '87} (pp. 381-390). New York: Springer. Software, source code, etc. for problems pertaining to algebraic geometry, Singularities of curves, local rings, Global theory and resolution of singularities (algebro-geometric aspects), Symbolic computation and algebraic computation
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation San Segundo F., Sendra J.R.: Degree formulae for offset curves. J. Pure Appl. Algebra 195, 301--335 (2005) Computational aspects of algebraic curves, Rational and birational maps, Questions of classical algebraic geometry, Symbolic computation and algebraic computation
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Lombardi, H., Relecture constructive de la théorie d'artin-Schreier, Ann. pure appl. logic, 91, 59-92, (1998) Other constructive mathematics, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mechanization of proofs and logical operations, Ordered fields, Effectivity, complexity and computational aspects of algebraic geometry, Symbolic computation and algebraic computation Symbolic computation and algebraic computation, Computational aspects of higher-dimensional varieties, Enumerative problems (combinatorial problems) in algebraic geometry
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