purely algebraic in a sentence
1) Lie algebras can then be studied using purely algebraic tools.
algebraic collocations
2) Section I. Geometric Algebra Section I is concerned with purely algebraic matters.
3) One can use formal power series to prove several relations familiar from analysis in a purely algebraic setting.
purely algebraic example sentences
4) Finally, Newton views the method as purely algebraic and makes no mention of the connection with calculus.5) For infinite dimensional representations, purely algebraic concepts are not sufficient, so one has to work with topological vector spaces.
6) Hyper-real fields were in fact originally introduced by Hewitt (1948) by purely algebraic techniques, using an ultrapower construction.
7) In some contrast to the wave formulation, it produces spectra of energy operators by purely algebraic , ladder operator, methods.
8) The Arab mathematicians were able to solve by purely algebraic means certain cubic equations, and then to interpret the results geometrically.
9) The von Neumann bicommutant theorem shows that the analytic definition is equivalent to a purely algebraic definition as an algebra of symmetries.
10) As 'functions' these can take only the value 0, but they carry infinitesimal information, in purely algebraic settings.
11) Bootstrap is a standards-based curriculum for middle-school students, which teaches them to program their own videogames using purely algebraic and geometric concepts.
12) This result is in line with Hiley's striving for a purely algebraic approach to quantum mechanics that is not a priori defined on any external vector space.
13) In 2000, Brown and Hiley showed that the Schrödinger equation can be written in a purely algebraic form that is independent of any representation in a Hilbert space.
14) In mathematics, a simplicial set is a construction in categorical homotopy theory that is a purely algebraic model of the notion of a "well-behaved" topological space.
15) In order to do this, the technical machinery of Tannakian category theory (going back to Tannaka-Krein duality, but a purely algebraic theory) is used.
example sentences with purely algebraic
16) The "description format" of a structure (such as adjacency list versus adjacency matrix for graphs) is irrelevant, because species are purely algebraic .17) The integrals we have discussed so far involve transcendental functions, but the gamma function also arises from integrals of purely algebraic functions.
18) This does not seem to be in accordance with a continuum theory and must lead to an attempt to find a purely algebraic theory for the representation of reality.
19) Einstein's hope for a purely algebraic theory
20) Finally one can take these two properties as basics and give purely algebraic definition of "symmetry"
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