By using straightforward frequency arguments we classify transformations of probabilities which can be generated by transition from one preparation procedure (context) to another. There are three classes of transformations corresponding to statistical deviations of different magnitudes: (a) trigonometric; (b) hyperbolic; (c) hypertrigonometric. Each class is characterized by a perturbation of t...

We describe cognitive experiments (based on interference of probabilities for mental observables) that could verify quantum-like structure of mental measurements. In principle, such experiments can be performed in psychology, cognitive, and social sciences. Recently one of such experiments (described in the previous version of the preprint) based on recognition of images was performed. It confi...

Abstract The class of short-range potentials V [M (x) = ∑M m=2(fm + gm sinh x)/ cosh m x is considered as an asymptotically vanishing phenomenological alternative to the popular anharmonic long-range V (x) = ∑N n=2 hnx . We propose a method which parallels the analytic Hill-Taylor description of anharmonic oscillators and represents all the wave functions ψ (x) non-numerically, in terms of cert...

In [5] and [2] the authors describe the remarkable effectiveness of the doubly exponential ‘tanh-sinh’ transformation for numerical integration —even for quite unruly integrands. Our intention in this note is to provide a theoretical underpinning when the integrand is analytic for the observed superlinear convergence of the method. Our analysis rests on the corresponding but somewhat easier ana...

The main objective of this paper is to establish several new lower and upper bounds for the functions $\sinh x/x$ $\cosh x$. Following simple approach, our results give refinements generalizations some known inequalities involving these functions.

In this paper, a variety of novel exact traveling wave solutions are constructed for the $$(2+1)$$ -dimensional Boiti-Leon-Manna-Pempinelli equation via analytical techniques, namely, extended rational sine-cosine method and sinh-cosh method. The physical meaning geometrical structures some these is discussed. Obtained expressed in terms singular periodic wave, solitary waves, bright solitons, ...

A deep learning approach for the efficient electromagnetic analysis of an on-chip inductor with dummy metal fillings (DMFs) is proposed. By comparing different activation functions and loss functions, a neural network DMF modeling built using smooth maximum unit function log-cosh function. The parasitic capacitive effect DMFs quickly accurately extracted though this model, effective permittivit...

The optical gradient force distributions in focal plane of cosh-Gaussian beams with sine-azimuthal variation wavefront and half space phase modulation were investigated. Results show that optical gradient force distributions can be affected considerably by the phase retardation of half-space phase modulation, of a phase parameter that indicates the phase change frequency on an increasing azimut...

89[D, E].—Project for Computation of Mathematical Tables (A. N. Lowan, technical director). Tables of Circular and Hyperbolic Sines and Cosines for Radian Arguments. Prepared by the Federal Works Agency, Work Projects Administration for the State of New York, conducted under the sponsorship of the National Bureau of Standards. New York, 1940, 1939. xx, 405 p. 20.9X27 cm. Reproduced by a photo o...