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infinitesimal ring

См. также в других словарях:

  • Differential (infinitesimal) — For other uses of differential in calculus, see differential (calculus), and for more general meanings, see differential. In calculus, a differential is traditionally an infinitesimally small change in a variable. For example, if x is a variable …   Wikipedia

  • Quotient ring — In mathematics a quotient ring, also known as factor ring or residue class ring, is a construction in ring theory, quite similar to the factor groups of group theory and the quotient spaces of linear algebra. One starts with a ring R and a two… …   Wikipedia

  • Valuation ring — In abstract algebra, a valuation ring is an integral domain D such that for every element x of its field of fractions F , at least one of x or x 1 belongs to D .Given a field F , if D is a subring of F such that either x or x 1 belongs to D for… …   Wikipedia

  • Domain (ring theory) — In mathematics, especially in the area of abstract algebra known as ring theory, a domain is a ring such that ab = 0 implies that either a = 0 or b = 0.[1] That is, it is a ring which has no left or right zero divisors. (Sometimes such a ring is… …   Wikipedia

  • Toroidal ring model — The toroidal ring model, known originally as the Parson magneton or magnetic electron, is also known as the plasmoid ring, vortex ring, or helicon ring. This physical model treated electrons and protons as elementary particles, and was first… …   Wikipedia

  • Hyperreal number — *R redirects here. For R*, see Rockstar Games. The system of hyperreal numbers represents a rigorous method of treating the infinite and infinitesimal quantities. The hyperreals, or nonstandard reals, *R, are an extension of the real numbers R… …   Wikipedia

  • Non-standard analysis — Abraham Robinson Gottfried Wilhelm Leibniz argued tha …   Wikipedia

  • Dual number — For dual grammatical number found in some languages, see Dual (grammatical number). In linear algebra, the dual numbers extend the real numbers by adjoining one new element ε with the property ε2 = 0 (ε is nilpotent). The collection of dual… …   Wikipedia

  • Cavalieri's principle — Two stacks of coins with the same volume In geometry, Cavalieri s principle, sometimes called the method of indivisibles, named after Bonaventura Cavalieri, is as follows:[1] 2 dimensional case: Suppose two regions in a plane are included between …   Wikipedia

  • fluid mechanics — an applied science dealing with the basic principles of gaseous and liquid matter. Cf. fluid dynamics. [1940 45] * * * Study of the effects of forces and energy on liquids and gases. One branch of the field, hydrostatics, deals with fluids at… …   Universalium

  • Crystalline cohomology — In mathematics, crystalline cohomology is a Weil cohomology theory for schemes introduced by Alexander Grothendieck (1966, 1968) and developed by Pierre Berthelot (1974). Its values are modules over rings of Witt vectors over the base… …   Wikipedia

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