A Relation-Algebraic Approach to Multirelations and Predicate Transformers

The Lie-algebraic approach has been applied to solve the bond pricing problem in single-factor interest rate models. Four of the popular single-factor models, namely, the Vasicek model, Cox-Ingersoll-Ross model, double square-root model, and Ahn-Gao model, are investigated. By exploiting the dynamical symmetry of their bond pricing equations, analytical closed-form pricing formulae can be derived in a straightfoward manner. Time-varying model parameters could also be incorporated into the derivation of the bond price formulae, and this has the added advantage of allowing yield curves to be fitted. Furthermore, the Lie-algebraic approach can be easily extended to formulate new analytically tractable single-factor interest rate models.

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Target space entanglement in quantum mechanics of fermions and matrices

Journal of High Energy Physics ◽

10.1007/jhep08(2021)046 ◽

2021 ◽

Vol 2021 (8) ◽

Author(s):

Sotaro Sugishita

Keyword(s):

Mutual Information ◽

Ground State ◽

Entanglement Entropy ◽

Algebraic Approach ◽

Upper Bounds ◽

Wave Functions ◽

Target Space ◽

Single Interval ◽

Area Law ◽

Formula Expression

Abstract We consider entanglement of first-quantized identical particles by adopting an algebraic approach. In particular, we investigate fermions whose wave functions are given by the Slater determinants, as for singlet sectors of one-matrix models. We show that the upper bounds of the general Rényi entropies are N log 2 for N particles or an N × N matrix. We compute the target space entanglement entropy and the mutual information in a free one-matrix model. We confirm the area law: the single-interval entropy for the ground state scales as $$ \frac{1}{3} $$ 1 3 log N in the large N model. We obtain an analytical $$ \mathcal{O}\left({N}^0\right) $$ O N 0 expression of the mutual information for two intervals in the large N expansion.

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A fast algebraic approach for noninvasive prediction of fractional flow reserve in coronary arteries

Computer Methods in Biomechanics & Biomedical Engineering ◽

10.1080/10255842.2021.1918122 ◽

2021 ◽

pp. 1-33

Author(s):

Iyad Fayssal ◽

Fadl Moukalled

Keyword(s):

Coronary Arteries ◽

Fractional Flow Reserve ◽

Algebraic Approach ◽

Fractional Flow ◽

Flow Reserve

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An Algebraic Approach for High-level Text Analytics

32nd International Conference on Scientific and Statistical Database Management ◽

10.1145/3400903.3400926 ◽

2020 ◽

Author(s):

Xiuwen Zheng ◽

Amarnath Gupta

Keyword(s):

Algebraic Approach ◽

Text Analytics ◽

High Level

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Algebraic approach and Berry phase of a Hamiltonian with a general SU(1, 1) symmetry

Journal of Mathematical Physics ◽

10.1063/5.0027957 ◽

2021 ◽

Vol 62 (7) ◽

pp. 071701

Author(s):

E. Choreño ◽

R. Valencia ◽

D. Ojeda-Guillén

Keyword(s):

Berry Phase ◽

Algebraic Approach

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An algebraic approach to N-soft sets with application in decision-making using TOPSIS

Journal of Intelligent & Fuzzy Systems ◽

10.3233/jifs-202717 ◽

2021 ◽

pp. 1-21

Author(s):

Muhammad Shabir ◽

Rimsha Mushtaq ◽

Munazza Naz

Keyword(s):

Decision Making ◽

Mathematical Models ◽

Real World ◽

Algebraic Approach ◽

Multi Criteria Decision Making ◽

Commutative Monoids ◽

Soft Sets ◽

Algebraic Properties ◽

Different Types ◽

Selection Of

In this paper, we focus on two main objectives. Firstly, we define some binary and unary operations on N-soft sets and study their algebraic properties. In unary operations, three different types of complements are studied. We prove De Morgan’s laws concerning top complements and for bottom complements for N-soft sets where N is fixed and provide a counterexample to show that De Morgan’s laws do not hold if we take different N. Then, we study different collections of N-soft sets which become idempotent commutative monoids and consequently show, that, these monoids give rise to hemirings of N-soft sets. Some of these hemirings are turned out as lattices. Finally, we show that the collection of all N-soft sets with full parameter set E and collection of all N-soft sets with parameter subset A are Stone Algebras. The second objective is to integrate the well-known technique of TOPSIS and N-soft set-based mathematical models from the real world. We discuss a hybrid model of multi-criteria decision-making combining the TOPSIS and N-soft sets and present an algorithm with implementation on the selection of the best model of laptop.

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