Connectomes as holographic states by Dmitry Melnikov

“…While the holographic states are dual to classical geometries, these connectome states represent classical topologies, which satisfy a discrete analog of the Ryu-Takayanagi formula and characteristic inequalities for the entanglement entropy. …”
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Quantitative Assessment of Intestinal Injury Using a Novel In Vivo, Near-Infrared Imaging Technique by Todd W. Costantini, Brian P. Eliceiri, Carrie Y. Peterson, William H. Loomis, James G. Putnam, Andrew Baird, Paul Wolf, Vishal Bansal, Raul Coimbra

“…Currently, animal models employed to study the intestinal response to injury and inflammation depend on outdated methods of analysis. Given that these classic intestinal assays are lethal to the experimental animal, there is no ability to study the gut response to injury in the same animal over time. …”
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Symmetries, variational principles, and quantum dynamics by J. Manjavidze, A. Sissakian

“…The argument of this δ-function is the sum of all classical forces of the problem under consideration plus the random force of quantum excitations. …”
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HUMAN INACTIVITY IN THE CONTEXT OF SUBJECT’S IDENTITY PROBLEM by Dmytro Yu. Snitko

“…The subject of article is analyze of essence postmodern understanding of human; finding relationship with personal identity and inactivity; accentuation on existential aspects of this relation; to investigate the alternatives to classical and pluralistic conceptions of subject’s identity. …”
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Field Equations and Lagrangian of the Kaluza Energy-Momentum Tensor by L. L. Williams

“…We provide an analysis and statement of the source term in the classical Kaluza field equations, by considering the 5-dimensional (5D) energy-momentum tensor corresponding to the 5D geodesic hypothesis that is typically presumed in the Kaluza theory. …”
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Numerical Study of Spherical Particle Breakage Based on Nonlinear Discrete Interface Bonded Model by Lin Li, Sifeng Zhang, Shicai Yu, Xuanyu Zhang

“…In this paper, to solve the problem that the envelope of the shear strength of the classical model is linear, a nonlinear discrete surface bonded model is introduced by applying nonlinear tangential strength criterion. …”
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Anomalous diffusion and factor ordering in (1+1)-dimensional Lorentzian quantum gravity by E. Sanderson, R.L. Maitra, A.J. Liberatore

“…Using properties of diffusion according to a quantum heat kernel constructed as an expectation over classical heat kernels on S1, we probe the non-manifold-like nature of quantized space in a model of (1+1)-dimensional quantum gravity. …”
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Consequences of a sextuple-product identity by John A. Ewell

“…A sextuple-product identity, which essentially results from squaring the classical Gauss-Jacobi triple-product identity, is used to derive two trigonometrical identities. …”
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On completeness of quasi-pseudometric spaces by Seithuti P. Moshokoa

“…The notion is equivalent to the classical notion of completeness when restricted to the class of metric spaces.…”
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Analysis of temperature state of massive flat ingot in conditions of radiational contraflow by Ju. S. Postolnik, V. I. Timoshpolskij, A. P. Ogurtsov, Ju. N Zinchenko, O. V. Dubina, E. O. Tskitishvili, S. M. Kozlov, P. T. Ratnikov

“…There is given the analysis of the task solution of counterflow heat exchange at heating of solids of classic form taking into account non-linearities of I and II type. …”
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Votive Body Parts in Greek and Roman Religion by Jessica Hughes

“…This book examines a type of object that was widespread and very popular in classical antiquity - votive offerings in the shape of parts of the human body, using them to explore how beliefs about the body changed throughout the period.…”
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The Second Noether Theorem on Time Scales by Agnieszka B. Malinowska, Natália Martins

“…As corollaries we obtain the classical second Noether theorem, the second Noether theorem for the h-calculus and the second Noether theorem for the q-calculus.…”
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Jordan superderivations. II by Maja Fošner

“…In a recent paper we have extended the classical Herstein's theorem on Jordan derivations on prime rings to Jordan superderivations on prime associative superalgebras. …”
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Complete Consistency of the Estimator of Nonparametric Regression Models Based on ρ~-Mixing Sequences by Xuejun Wang, Fengxi Xia, Meimei Ge, Shuhe Hu, Wenzhi Yang

“…We study the complete consistency for estimator of nonparametric regression model based on ρ~-mixing sequences by using the classical Rosenthal-type inequality and the truncated method. …”
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Fischer Type Log-Majorization of Singular Values on Partitioned Positive Semidefinite Matrices by Benju Wang, Yun Zhang

“…In this paper, we establish a Fischer type log-majorization of singular values on partitioned positive semidefinite matrices, which generalizes the classical Fischer's inequality. Meanwhile, some related and new inequalities are also obtained.…”
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Normed Domains of Holomorphy by Steven G. Krantz

“…We treat the classical concept of domain of holomorphy in ℂn when the holomorphic functions considered are restricted to lie in some Banach space. …”
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The Strong Consistency of the Estimator of Fixed-Design Regression Model under Negatively Dependent Sequences by Xuejun Wang, Meimei Ge, Shuhe Hu, Xize Wang

“…We study the strong consistency of estimator of fixed design regression model under negatively dependent sequences by using the classical Rosenthal-type inequality and the truncated method. …”
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GAZALİ'YE GÖRE ÖNCÜLLERİN YAPISI by İbrahim Çapak

“…The issue of premises is rather important for classical logic. For, in a syllogism, if premises are true, the conclusion must be true. …”
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On convergence of (μ,ν)-sequences of unisolvent rational approximants to meromorphic functions in Cn by C. H. Lutterodt

“…A generalization of the classical Montessus de Ballore theorem in ℂn and some related theorems are discussed. …”
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Global solution for wave equation involving the fractional Laplacian with logarithmic nonlinearity by Bidi Younes, Abderrahmane Beniani, Khaled Zennir, Zayd Hajjej, Hongwei Zhang

“…The corresponding results for equations with classical Laplacian are considered as particular cases of our assertions.…”
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