Beyond Bayes: On the Need for a Unified and Jaynesian Definition of Probability and Information within Neuroscience by Christopher D. Fiorillo

“…It has been proposed that the general function of the brain is inference, which corresponds quantitatively to the minimization of uncertainty (or the maximization of information). …”
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Simple function to find base pressure under triangular and trapezoidal footing with two eccentric loads by Shaaban Mohammed Qasim, Al-kuaity Adnan Sadiq, Aliakbar Mohammed Redha Mahdi

“…The purpose of this article is to create a simple general function to find the maximum base pressure of biaxial eccentric loads under a trapezoidal and triangular footing. …”
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An Inequality Approach to Approximate Solutions of Set Optimization Problems in Real Linear Spaces by Elisabeth Köbis, Markus A. Köbis, Xiaolong Qin

“…We propose characterizations of several approximate minimal elements of families of sets in real linear spaces by means of general functionals, which can be unified in an inequality approach. …”
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Multimedia in life and education of visually impaired and blind people by Agnieszka Twaróg-Kanus

“…The use of multimedia for support and educational work can contribute greatly to the improvement of the quality of the general functioning of visually impaired people, not only in the aspect of teaching and learning.…”
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Cosmology of F(T) Gravity and k-Essence by Ratbay Myrzakulov

“…We perform a thorough reconstruction analysis on the so-called F(T) models, where F(T) is some general function of the torsion term, and deduce the required conditions for the equivalence between of F(T) models with pure kinetic k-essence models. …”
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Brownian Forgery of Statistical Dependences by Vincent Wens, Vincent Wens

“…We also argue that this result allows revisiting the theory of Brownian covariance from a physical perspective and opens the possibility of engineering nonlinear correlation measures from more general functional integrals.…”
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Some Properties of Euler’s Function and of the Function <i>τ</i> and Their Generalizations in Algebraic Number Fields by Nicuşor Minculete, Diana Savin

“…In this paper, we find some inequalities which involve Euler’s function, extended Euler’s function, the function <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>τ</mi></semantics></math></inline-formula>, and the generalized function <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>τ</mi></semantics></math></inline-formula> in algebraic number fields.…”
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Two Generic Convergence Results for Infinite Products of Generalized Nonexpansive Mappings by Simeon Reich, Alexander J. Zaslavski

“…In the definition of a generalized nonexpansive mapping the norm is replaced by a general function which can be symmetric as a particular case. …”
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Pain Management / by Landry, Randall, author 647994

“…It is a major symptom in many medical conditions, and can significantly interfere with a person's quality of life and general functioning. Social support, hypnotic suggestion, intensity or unpleasantness excitement in sport or war, distraction, and appraisal can all significantly modulate pain's.…”
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Aspects of neuro-humoral regulation of functional activity in the organism of fish under the influence of abiotic and biotic factors (a review) by O. Honcharova

“…To show the mechanism of action of the main physiological and biochemical processes in the context of understanding the general functionality of hydrobiont bodies. To summarize the basic concepts and opinion regarding the activity of metabolic processes, regulation of enzymatic activity in hydrobiont bodies against the background of the conditions of influence of abiotic and biotic factors. …”
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Inflation driven by non-linear electrodynamics by H. B. Benaoum, Genly Leon, A. Övgün, H. Quevedo

“…Abstract We investigate the inflation driven by a nonlinear electromagnetic field based on an NLED lagrangian density $${\mathscr {L}}_{\text {nled}} = - {F} f \left( {F} \right) $$ L nled = - F f F , where $$f \left( {F}\right) $$ f F is a general function depending on F. We first formulate an f-NLED cosmological model with a more general function $$f \left( {F}\right) $$ f F and show that all NLED models can be expressed in this framework; then, we investigate in detail two interesting examples of the function $$f \left( {F}\right) $$ f F . …”
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Using Generalized Basis for Functional Expansion by Han, Zhuoran, Forget, Benoit, Smith, Kord

“…In this paper, a generalized functional expansion method is established. The basis set can be an arbitrary series of independent functions. …”
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B-Spline Solutions of General Euler-Lagrange Equations by Lanyin Sun, Chungang Zhu

“…In this paper, we study the B-spline solutions of the Euler-Lagrange equations associated with the general functionals. The existing conditions of B-spline solutions to general Euler-Lagrange equations are given. …”
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Designing a US Market for CO2 by Ellerman, A. Denny, Parsons, John E.

“…While both markets have generally functioned well, certain episodes illustrate the importance of designing the rules to encourage liquidity in the market.…”
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Sharp convergence of nonlinear functionals of a class of Gaussian random fields by Xu, W

“…As a consequence, we establish convergence of a class of Gaussian fields composite with more general functions. These bounds and convergences are useful ingredients to establish weak universalities of several singular stochastic PDEs.…”

Multi-integral representations for Jacobi functions of the first and second kind by Howard S. Cohl, Roberto S. Costas-Santos

“…AbstractOne may consider the generalization of Jacobi polynomials and the Jacobi function of the second kind to a general function where the degree is allowed to be a complex number instead of a non-negative integer. …”
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Derivation of logarithmic integrals expressed in teams of the Hurwitz zeta function by Robert Reynolds, Allan Stauffer

“…In this paper by means of contour integration we will evaluate definite integrals of the form \begin{equation*} \int_{0}^{1}\left(\ln^k(ay)-\ln^k\left(\frac{a}{y}\right)\right)R(y)dy \end{equation*} in terms of a special function, where $R(y)$ is a general function and $k$ and $a$ are arbitrary complex numbers. …”
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Convexity and the Euclidean Metric of Space-Time by Nikolaos Kalogeropoulos

“…Following the spirit of the variational principles employed in classical and quantum Physics, such Hilbert spaces dominate in a generalized functional integral approach. The metric of space-time is induced by the inner product of such Hilbert spaces.…”
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A Non-Convex Fractional-Order Differential Equation for Medical Image Restoration by Chenwei Li, Donghong Zhao

“…We propose a new non-convex fractional-order Weber multiplicative denoising variational generalized function, which leads to a new fractional-order differential equation, and prove the existence of a unique solution to this equation. …”
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Architecture and Protocols for Robust NGN by Tatiana Kovacikova, Martin Klimo

“…Based on the characteristics and requirements of transport and connectivity layers architecture, and using the examples of different network types and technologies, the authors try to identify the general functions of the transport and connectivity layers in the network.…”
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