영어에서 Invariants 을 사용하는 예와 한국어로 번역
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Other invariants.
Donaldson's polynomial invariants.
MacMahon then worked on invariants of binary quartic forms, following Cayley and Sylvester.
He distinguished between these structures using numerical invariants based on the Todd polynomials.
He always seeks invariants, and prefers explicit constructions rather than combination of existing theories.
His thesis appears as the Cambridge Tract Modular Invariants(1932) and was reprinted in New York in 1964.
Lüroth was taught by Hesse and Clebsch and continued to develop their work on geometry and invariants.
Modular invariants and convariants in a Galois Field, GF(pn), of order pn- both formal and otherwise;
And then we can build walls to separate the inside of our code from the outside, and that's what lets us maintain invariants.
The first Isotopy invariants in quasigroups was published in 1970 in the Transactions of the American Mathematical Society.
D's version of DBC includes function preconditions,function postconditions, class invariants, and assert contracts.
It was her work in the theory of invariants which led to formulations for several concepts of Einstein 's general theory of relativity.
In particular, in 1934 he published results, using surfaces today called Seifert surfaces, which he used to calculate homological knot invariants.
He makes the first step towards a theory of invariants, which at later stages derelativises the system of reference and removes arbitrariness.
For a pour transaction, anyone can verify that the zero-knowledge proof contained therein is valid(and that a few other simple invariants hold).
Witten described these in terms of the invariants of Donaldson and Floer(extending the earlier ideas of Atiyah) and generalised the Jones knot polynomial….
Later in his career he studied the relations between hyperelliptic theta functions,irrational binary invariants, the Weddle surface and the Kummer surface.
Hilbert contributed to many branches of mathematics, including invariants, algebraic number fields, functional analysis, integral equations, mathematical physics, and the calculus of variations.
In the winter of 1929 Professor Weitzenböck pointed out to me that there was no complete account of the theory of modular invariants embodying the work of Dickson, Glenn and Hazlett….
His name is not only attached to Arf invariants but he is also remembered for the Hasse-Arf Theorem which plays an important role in class field theory and in Artin's theory of L-functions.
Under their direction he laid the basis for the important work he was later to achieve in the fields of foundations of geometry, projective geometry, topology,differential invariants and spinors.
The topics he studied included representations of Grassmann manifolds on linear spaces, invariants of composite surfaces in higher space, and studies of the singularities forced on a surface under the condition that it has contact with a prescribed order with a given curve.
Contracts namespace contains static classes for representing program contracts such as preconditions,postconditions, and invariants.
Christoffel published papers on function theory including conformal mappings, geometry and tensor analysis,Riemann 's o-function, the theory of invariants, orthogonal polynomials and continued fractions, differential equations and potential theory, light, and shock waves.
He had studied at Göttingen through the very difficult period leading up to World War II but Hasse asked him to remain there for another year to continue his work and during this period Arf's work produced what are today called the Arf invariants.
In this course, Pastor presented his students with the concept of geometry based on group theory,using methods of establishing invariants of each group, with topological methods being the most general.
His work The invariants of quadratic differential forms(1927) is a systematic treatment of Riemann geometry while his work, written jointly with his student Henry Whitehead, The foundations of differential geometry(1933) gives the first definition of a differentiable manifold.
He made Gauss- Bonnet a household word, Intrinsic proofs he found,Throughout the World his truths abound, Chern classes he gave us, and Secondary Invariants, Fibre Bundles and Sheaves, Distributions and Foliated Leaves!
Linking number Finite type invariant(or Vassiliev or Vassiliev-Goussarov invariant) Stick number.
Isotopy invariant.