Théorème de la base de HilbertIn mathematics, specifically commutative algebra, Hilbert's basis theorem says that a polynomial ring over a Noetherian ring is Noetherian. If is a ring, let denote the ring of polynomials in the indeterminate over . Hilbert proved that if is "not too large", in the sense that if is Noetherian, the same must be true for . Formally, Hilbert's Basis Theorem. If is a Noetherian ring, then is a Noetherian ring. Corollary. If is a Noetherian ring, then is a Noetherian ring.
The Nature of the Firm"The Nature of the Firm" (1937) is an article by Ronald Coase. It offered an economic explanation of why individuals choose to form partnerships, companies, and other business entities rather than trading bilaterally through contracts on a market. The author was awarded the Nobel Memorial Prize in Economic Sciences in 1991 in part due to this paper. Despite the honor, the paper was written when Coase was an undergraduate and he described it later in life as "little more than an undergraduate essay.
Bioinformatique structuralevignette|262x262px| Structure tridimensionnelle d'une protéine La bioinformatique structurale est la branche de la bio-informatique liée à l'analyse et à la prédiction de la structure tridimensionnelle des macromolécules biologiques telles que les protéines, l'ARN et l'ADN. Elle traite des généralisations sur les structures tridimensionnelles des macromolécules, telles que les comparaisons des repliements globaux et des motifs locaux, les principes du repliement moléculaire, l'évolution, les interactions de liaison et les relations structure/fonction, en travaillant à la fois à partir de structures résolues expérimentalement et de modèles informatiques.
Structural alignmentStructural alignment attempts to establish homology between two or more polymer structures based on their shape and three-dimensional conformation. This process is usually applied to protein tertiary structures but can also be used for large RNA molecules. In contrast to simple structural superposition, where at least some equivalent residues of the two structures are known, structural alignment requires no a priori knowledge of equivalent positions.
Théorie de la firmeLa théorie de la firme consiste en un certain nombre de théories économiques qui décrivent, expliquent et prédisent la nature de la firme, compagnie, ou corporation sa vie, sa conduite, sa structure, et son rapport au marché. En termes simplifiés, la théorie de la firme a pour but de répondre à ces questions : L'existence. Pourquoi les firmes apparaissent, pourquoi toutes les transactions en économie ne sont pas mises sur le marché ? Les frontières. Pourquoi la frontière entre les firmes et le marché est s
Productivity-improving technologiesThe productivity-improving technologies are the technological innovations that have historically increased productivity. Productivity is often measured as the ratio of (aggregate) output to (aggregate) input in the production of goods and services. Productivity is increased by lowering the amount of labor, capital, energy or materials that go into producing any given amount of economic goods and services. Increases in productivity are largely responsible for the increase in per capita living standards.
Base (algèbre linéaire)vignette|Le même vecteur peut être représenté dans deux bases différentes (flèches violettes et rouges). En mathématiques, une base d'un espace vectoriel V est une famille de vecteurs de V linéairement indépendants et dont tout vecteur de V est combinaison linéaire. En d'autres termes, une base de V est une famille libre de vecteurs de V qui engendre V. alt=|vignette|upright=2|. La géométrie plane, celle d'Euclide, peut comporter une approche algébrique, celle de Descartes.
Agricultural productivityAgricultural productivity is measured as the ratio of agricultural outputs to inputs. While individual products are usually measured by weight, which is known as crop yield, varying products make measuring overall agricultural output difficult. Therefore, agricultural productivity is usually measured as the market value of the final output. This productivity can be compared to many different types of inputs such as labour or land. Such comparisons are called partial measures of productivity.
