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Operations on binary relations
AbstractThe effects of five basic operations (asymmetrization, complementation, dualization, symmetrization, transitive closure) on binary relations are examined. Identifies between compound operations are developed (e.g. the symmetric part of the transitive closure of the complement of the transitive closure equals the transitive closure of the ...
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A theorem on the semigroup of binary relations [PDF]
PROOF. Necessity. Let p =p5p, where 5 ESx. Let o = 6p, then o2 = andp =po-. It is known in [1] that L(of) and L(p) are complete lattices in which joins are unions and, moreover, L(of) is completely distributive. If A CX, then it is easy to show that {t(A) =4t(4(A)) and +(A) =x(+1(A)) where c(A)EL(o-), ql(A)EL(p) and X(A)EL(a). Define the mapping 0 of L(
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Measuring the neutron star tidal deformability with equation-of-state-independent relations and gravitational waves [PDF]
Gravitational wave measurements of binary neutron star coalescences offer information about the properties of the extreme matter that comprises the stars. Despite our expectation that all neutron stars in the Universe obey the same equation of state, i.e.
Chatziioannou, Katerina+2 more
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On (Λ,Υ,ℜ)-Contractions and Applications to Nonlinear Matrix Equations
In this paper, we study the behavior of Λ , Υ , ℜ -contraction mappings under the effect of comparison functions and an arbitrary binary relation. We establish related common fixed point theorems.
Eskandar Ameer+4 more
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Multivalued Mizoguchi-Takahashi type rational contraction in relational metric spaces [PDF]
In this paper we establish a result in the fixed point theory of multivalued mappings. This is done by combining three prevalent trends in fixed point theory. Some consequences of the main theorem are discussed.
Binayak S. Choudhury+3 more
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A note on two notions of compliance [PDF]
We establish a relation between two models of contracts: binary session types, and a model based on event structures and game-theoretic notions. In particular, we show that compliance in session types corresponds to the existence of certain winning ...
Bartoletti, Massimo+2 more
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In this work, we reveal how different enzyme binding configurations influence the fluorescence decay of NAD(P)H in live cells using time‐resolved anisotropy imaging and fluorescence lifetime imaging microscopy (FLIM). Mathematical modelling shows that the redox states of the NAD and NADP pools govern these configurations, shaping their fluorescence ...
Thomas S. Blacker+8 more
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On Some Properties of Binary Relations [PDF]
Some important notions in the theory of binary relations such as the relative product of two relations and the converse of a relation are defined in Whitehead and Russell’s “Principia mathematica” ([1]). McKinsey ([2]) and Tarski ([3]) gave their systems of postulates for the calculus of relations.
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The Arabidopsis mutants hls1 hlh1 and amp1 lamp1 exhibit pleiotropic developmental phenotypes. Although the functions of the causative genes remain unclear, they act in the same genetic pathway and are thought to generate non‐cell‐autonomous signals.
Takashi Nobusawa, Makoto Kusaba
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Ample Spectrum Contractions and Related Fixed Point Theorems
Simulation functions were introduced by Khojasteh et al. as a method to extend several classes of fixed point theorems by a simple condition. After that, many researchers have amplified the knowledge of such kind of contractions in several ways.
Antonio Francisco Roldán López de Hierro+1 more
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