Information om | Engelska ordet GENERALIZATIONS

Exempel på hur man kan använda GENERALIZATIONS i en mening

• Calculus is the mathematical study of continuous change, in the same way that geometry is the study of shape, and algebra is the study of generalizations of arithmetic operations.
• Integral domains are generalizations of the ring of integers and provide a natural setting for studying divisibility.
• In mathematics, an integral is the continuous analog of a sum, which is used to calculate areas, volumes, and their generalizations.
• The travelling purchaser problem, the vehicle routing problem and the ring star problem are three generalizations of TSP.
• Theoretical chemistry is the branch of chemistry which develops theoretical generalizations that are part of the theoretical arsenal of modern chemistry: for example, the concepts of chemical bonding, chemical reaction, valence, the surface of potential energy, molecular orbitals, orbital interactions, and molecule activation.
• The theorem, in both forms, in turn generalizes to the structure theorem for finitely generated modules over a principal ideal domain, which in turn admits further generalizations.
• It is difficult to make many generalizations about ancient music as a whole, but from what is known it was often characterized by monophony and improvisation.
• One can then ask the same question about the zeros of these L-functions, yielding various generalizations of the Riemann hypothesis.
• This is partially explained by the highly philosophical nature of pre-war European sociology: the field’s focus on broad scale generalizations largely erased rural-urban difference.
• The Food and Agriculture Organization of the United Nations (FAO) developed a supra-national classification, which offers useful generalizations about pedogenesis in relation to the interactions between the main soil-forming factors.
• Weak orders, generalizations of total orders allowing ties (represented either as equivalences or, in strict weak orders, as transitive incomparabilities).
• This problem and its generalizations (like the five fives and the six sixes problem, both shown below) may be solved by a simple algorithm.
• They are generalizations of Banach spaces (normed vector spaces that are complete with respect to the metric induced by the norm).
• The Riemann zeta function is an example of an L-function, and some important conjectures involving L-functions are the Riemann hypothesis and its generalizations.
• Several more recent generalizations express reciprocity laws using cohomology of groups or representations of adelic groups or algebraic K-groups, and their relationship with the original quadratic reciprocity law can be hard to see.
• There are also generalizations when the components have unequal variance or correlations (Hoyt distribution), or when the vector Y follows a bivariate Student t-distribution (see also: Hotelling's T-squared distribution).
• Nevertheless, Bruun's algorithm illustrates an alternative algorithmic framework that can express both itself and the Cooley–Tukey algorithm, and thus provides an interesting perspective on FFTs that permits mixtures of the two algorithms and other generalizations.
• In mathematics, the isoperimetric inequality is a geometric inequality involving the square of the circumference of a closed curve in the plane and the area of a plane region it encloses, as well as its various generalizations.
• There are several such generalizations of the ordinary hypergeometric series, including the ones coming from zonal spherical functions on Riemannian symmetric spaces.
• Subsequent generalizations extended Nevanlinna theory to algebroid functions, holomorphic curves, holomorphic maps between complex manifolds of arbitrary dimension, quasiregular maps and minimal surfaces.

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