On linear algebraic semigroups III by Mohan S. Putcha

“…It is also shown that the lattice (E(T),≤) is isomorphic to the lattice of faces of a rational polytope in some ℝn. Using these results, it is shown that if S is any connected semigroup with lattice of regular J-classes U(S), then all maximal chains in U(S) have the same length.…”
Get full text

Integral Equations Approach in Complex-Valued Generalized b-Metric Spaces by Shahid Mehmood, Saif Ur Rehman, Ihsan Ullah, Rashad A. R. Bantan, Mohammed Elgarhy

“…In this paper, we study a rational type common fixed-point theorem (CFP theorem) in complex-valued generalized b-metric spaces (Gb-metric spaces) by using three self-mappings under the generalized contraction conditions. …”
Get full text

THE MATHEMATIZATION OF COGNITIVE CONTENT AND THE IDEA OF UNIVERSAL LANGUAGE by Nijolė Aukštuolytė

“…Descartes the idea of universal mathematics which deals with the common form of rational cognition, the latter being generalized into the idea of universal scientific language. …”
Get full text

Wisdom of the Established Pattern by Joel Janhonen

“…Most of our choices we do not base on precise rational modeling but on a far more ancient response mechanism. …”
Get full text

Bicyclic peptide-enhanced covalent inhibitor of SARS-CoV-2 3CL protease by Qian Wang, Yanhui Wang, Jian Li, Hong Liu, Shiyu Chen

“…Enhance the potency of the discovered bicyclic peptides for potential development into anti-SARS-CoV-2 drugs. Methods: Rational design was employed to discover the initial bicyclic peptide—warhead conjugates. …”
Get full text

To a critique of space in architectural discourse by Петр Капустин

“…The roots of these questions are in new European rational thinking, but today we are reaping the fruits. …”
Get full text

Exact Solutions of the Time Fractional BBM-Burger Equation by Novel (G′/G)-Expansion Method by Muhammad Shakeel, Qazi Mahmood Ul-Hassan, Jamshad Ahmad, Tauseef Naqvi

“…This equation can be converted into an ordinary differential equation by using a persistent fractional complex transform and, as a result, hyperbolic function solutions, trigonometric function solutions, and rational solutions are attained. The performance of the method is reliable, useful, and gives newer general exact solutions with more free parameters than the existing methods. …”
Get full text

Special Kähler geometry and holomorphic Lagrangian fibrations by Li, Yang, Tosatti, Valentino

“…Given a holomorphic Lagrangian fibration of a compact hyperkähler manifold, we use the differential geometry of the special Kähler metric that exists on the base away from the discriminant locus, and show that the pullback of the tangent bundle of the base to the total space of a family of minimal rational curves admits a parallel splitting. The splitting is nontrivial when the base is not half-dimensional projective space. …”
Get full text

The Neural-Fuzzy Approach as a Way of Preventing a Maritime Vessel Accident in a Heavy Traffic Zone by Nelly A. Sedova, Viktor A. Sedov, Ruslan I. Bazhenov

“…The authors prove that it is rational to use a neural-fuzzy system, where generation is carried out by the lattice method without clustering. …”
Get full text

Generation a shared secret using artificial neural networks by U. F. Holikau, M. L. Radziukevich

“…There are no recommendations on the choice of parameters of the used networks, ensuring acceptable speed and guaranteed confidentiality of the generated general secret.In this regard, it is interesting to substantiate the rational values of the parameters of ANN from the point of view of cryptographic requirements and security analysis of the proposed method of formation of cryptographic keys.…”
Get full text

Du poulailler au marché by Mickaël Wilmart

“…With the treaty of Prudent Le Choyselat, we attend a first attempt of economic rationalization by the development of an intensive and specialized breeding.…”
Get full text

Novel Targets for Anti-Inflammatory Therapy in Inflammatory Bowel Disease by John L Wallace

“…In each case, evidence is presented from clinical and/or experimental studies that supports the hypothesis that these are rational targets for anti-inflammatory drug development.…”
Get full text

Analysis of effect of shock-acoustic treatment regimes on wear resistance of steel 45 by S. B. Skobelev, G. G. Bury

“…The influence of the values of the total treatment factor on the microhardness and roughness of the treated surface is studied, and the dependence of the friction moment in the period of run-off on the values of the total processing factor is obtained. The rational values of the total treatment factor for steel 45 are determined, at which minimum wear of the samples during the run-in period is achieved.…”
Get full text

On the regioselective molecular sieves-promoted oxidative three-component synthesis of fused-benzimidazoles from $\beta $-ketoesters by Martin, Anthony, Cheshmedzhieva, Diana, Palermo, Valeria, Liéby-Muller, Frédéric, Romanelli, Gustavo P., Gaudel-Siri, Anouk, Coquerel, Yoann, Constantieux, Thierry, Rodriguez, Jean

“…The modulation of the reactivity of the aromatic diamine partner as a function of the nature of the substituents of the aromatic ring and its influence on the regioselectivity of the reaction could be rationalized.…”
Get full text

An Algorithm to Select the Optimal Program Based on Rough Sets and Fuzzy Soft Sets by Liu Wenjun, Li Qingguo

“…Example shows that the optimal algorithm is effective and rational.…”
Get full text

Instincts as Sedimentation in E. Husserl’s Phenomenology by Dalius Jonkus

“… Husserl’s concept of instincts transformed the concept of intentionality, supplemented the concept of teleology of consciousness, and shed new light on the problem of the relationship between irrationality and rationality. This article analyses Husserl’s phenomenology of instincts through the prism of the concept of sedimentation. …”
Get full text

Amour et poésie dans La tumba de Antígona de María Zambrano by Margherita Camozzi

“…The logos of this Antigone is singular, not rational. His Word is a Poetic Word and at the same time, in his aspiration to transcendence, she speaks a philosophical logos. …”
Get full text

The Improved Riccati Equation Method and Exact Solutions to mZK Equation by Xiaofeng Li

“…And we obtain the travelling wave solutions involving parameters, which are expressed by the hyperbolic functions, the trigonometric functions, and the rational functions. When the parameters are taken as special values, the method provides not only solitary wave solutions but also periodic waves solutions. …”
Get full text

On the Periodic Orbits of Four-Particle Time-Dependent FPU Chains by Hongwu Tang, Mingyan Xing, Qihuai Liu, Guirong Jiang

“…In this case, the unperturbed system has the linear spectra 2 and 2, which are rational independent. Therefore, the classical averaging theory cannot be applied directly, and the existence and multiplicity of periodic orbits for four-particle FPU chains is proved by using a new result from averaging theory by Buică, Francoise, and Llibre.…”
Get full text

On constraints of the (β-deformed) partition functions with W-representations by Yu-Sen Zhu, Ren Cuo Ji, Min-Li Li, Rui Wang

“…Meanwhile, we obtain a new realization of the Virasoro algebra in terms of the Dunkl operators and the conserved quantities in the rational Calogero model.…”
Get full text