[PDF] Top 20 COMBINATORICS OF BOSON NORMAL ORDERING AND SOME APPLICATIONS
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COMBINATORICS OF BOSON NORMAL ORDERING AND SOME APPLICATIONS
... By normal ordering of an operator expressed through the boson a and a † operators we mean moving all annihilation operators to the right of all creation operators with the use of commutation ...other ... See full document
112
On group rings and some of their applications to combinatorics and symmetric cryptography
... all applications of group rings to combinatorics and cryptography in this paper, but to give a survey of some recent progress which may be less ...known. Some new results are also ... See full document
14
Combinatorics
... The applications of probabilistic techniques in Discrete Mathematics, initiated by Paul Erd˝os ibuted to the development of the method more than anyone else, can be fied into three ... See full document
5
Combinatorics as Found in the Gommatsara of Nemichandra
... in combinatorics were not found in any Indian work composed before the fourteenth ...unusual applications of those six combinatorial tools with the omission of some of them and with the addition of a ... See full document
16
Continuous optimisation in extremal combinatorics
... the Ramsey number of a triple of large cycles with any fixed combination of parities for the cycle lengths. In the case where not all of the cycles have the same parity, Ferguson [35, 36, 37] strengthened the asymptotic ... See full document
143
The Combinatorics of Transcriptional Regulation
... Our experiments show that the thermodynamic model can predict the fold change in gene ex- pression as a function of different model parameters for some specific genetic constructs. However, a grand challenge of ... See full document
186
Hänle, Felix (2019): Resonances, spectral estimates and their connection to scattering theory in the Spin-Boson model. Dissertation, LMU München: Fakultät für Mathematik, Informatik und Statistik
... Removing the slight infrared-regularization: Recall that, for the massless case, we studied an infrared-regularized model. In particular, we chose the boson form factor f (defined in (1.2.3)) to have a slightly ... See full document
174
REAL-ROOTED POLYNOMIALS IN COMBINATORICS
... We will refer to this conjecture as the Monotone Column Permanent (MCP) conjecture. Important special cases of monotone column matrices are the ones with { 0, 1 } entries, which we call Ferrers matrices. These matrices ... See full document
62
Non Associative Property of 123 Avoiding Class of Aunu Permutation Patterns
... generates some sequences which can be stu- died further in relation to group action and transformation ...possess some combinatorial and number theoretic properties which can be investi- gated in subsequent ... See full document
7
Solution of the Relativistic Bound State Problem for Hadrons
... (including boson-boson coupling) has been used to describe q¯ q ...a boson-exchange potential and one, which can be identified with the known confinement potential in ...the boson-exchange ... See full document
12
Tagging Sentence Boundaries
... By collecting sequences and unigrams of unambiguously capitalized and lowercased words in the document and imposing special ordering of their applications Mikheev, 1999 reports that the [r] ... See full document
8
Elliptic Combinatorics and Markov Processes
... In this section we present two results (one univariate, one multivariate) on residue theory. That is, we explain what happens to the elliptic beta and Selberg integrals as the contour is deformed so that it passes over ... See full document
124
Schur algebras, combinatorics, and cohomology
... Motivated by II.3.16 we now begin an analysis o f V(Q,r\X) as an S (D ,0)- module, and specifically as a quotient of S (Q ,0 )^ . In §1 we prove a technical result on the product 5 i j ‘£j,l o f tw o basis elements o f ... See full document
119
The combinatorics of the cluster and virial expansions
... Flajolet and Sedgewick [FlSe09]. The important realisation of the inherent links between combinatorial species of structure and the cluster expansion and more gen- erally in the context of statistical mechanics, via the ... See full document
284
On the combinatorics of iterated stochastic integrals
... Keywords: Semimartingale; iterated integrals; power jump processes; Itô’s formula; stochastic exponential; chaotic representation.. This paper derives several identities for the iterate[r] ... See full document
16
Analytic methods in combinatorics
... Similarly as in the case of non-decorated graphs, we define rooted decorated subgraphs. A constraint that uses (rooted or non-rooted) decorated subgraphs is referred to as decorated. In this chapter, we use the following ... See full document
111
Matrix Rigidity and the Croot-Lev-Pach Lemma
... forms and outputs some linear combination of them with coefficients in the field. We measure the size of a linear circuit by counting the wires, and the depth by the longest path from input to output. A linear ... See full document
7
Intersection problems in combinatorics
... holds for either (X, Y ) = (P, Q) or for (X, Y ) = (Q, P ) then P ∪ Q is not intersecting. Conversely, if (2.3.2) fails for both (X, Y ) = (P, Q) and for (X, Y ) = (Q, P ) then P ∪ Q is intersecting, provided P and Q are ... See full document
200
Some Applications of the Distribution of the Maximum on Independent Normal Random Variables
... independent normal random ...independent normal random variables obeys a multivariate normal distribution with mean vector μ and covariance matrix S where: ... See full document
16
Combinatorics
... This idea that we can independently permute the symbols in each square, leads to a very nice method of representing MOLS. The key idea is that it is not necessary to use the same set of symbols for each square, since the ... See full document
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