| MacMahon then worked on invariants of binary quartic forms, following Cayley and Sylvester. |
|
| Cayley also put a third question, a different and deeper question about irreducible invariants of a binary quantic. |
|
| The author examines solvability in quantum mechanics and classically superfluous invariants. |
|
| Over the years, mathematicians have developed a variety of such invariants, often expressed in the form of a polynomial algebraic expression. |
|
| He distinguished between these structures using numerical invariants based on the Todd polynomials. |
|
| Noether earned a Ph. D. in 1907, having focused her dissertation work on algebraic invariants. |
|
| From this complex, shifting visual chaos, we have to extract invariants that allow us to infer or hypothesize objecthood. |
|
| The moment invariants to rotations are generally given in a polynomial form. |
|
| In the literature, several works propose various methods to derive moment invariants. |
|
| We just present some invariants to 2D rotations, to scale, and to 2D translations. |
|
| The synthesis of the national studies try to define the invariants and the differences between the countries. |
|
| This involves challenges relating to link invariants, homonymy of data and the building of loops. |
|
| Tarski also showed new perspectives for logicism by defining logical concepts as invariants under one-to-one transformations. |
|
| Todd generalised the arithmetic genus and the invariants of the canonical system on an algebraic variety to a system of invariants of every codimension. |
|
| One of his most-engrossing studies concerned the relationships between the theory of invariants and number theory. |
|
| Chapters cover Cartesian products, more classical products such as Hamiltonian graphs, invariants, Algebra and other topics. |
|
| Since ergodicity and mixing are expressible in terms of the induced Koopman unitaries they are not additional invariants. |
|
| Aligator generated nontrivial scalar and quantified invariants for 332 loops. |
|
| This enables straightforward and explicit calculation of the pseudohermitian invariants of the embedding which are also CR invariant. |
|
| Our main result expresses certain algebraic invariants of B in terms of the cohomology of simplicial complexes associated with its R-poset. |
|
|
|
| Taking these invariants into account, this paper aims to identify the specific characteristics of our contemporary societies that cause us to set requirements in terms of the safety of products of animal origin. |
|
| The 13 papers cover Heegaard Floer homology and knot theory, Floer homologies and contact structures, and symplectic four-manifolds and Seiberg-Witten invariants. |
|
| He called the apparatus the theory of chronometric invariants. |
|
