Theories on spatiotemporal interference have predominantly been based research conducted in two-dimensional (2D) settings. This study aimed to elucidate the psychological mechanisms through which three-dimensional (3D) contexts modulate intensity of effects. Participants were tasked with comparing time intervals (or spatial distances) between two pairs balls presented against a black or chessboard background, while disregarding distances intervals) them. Experiment 1 employed discrimination...

We prove new criteria for normality holomorphic mappings into the complex projective space using generalized Zalcman lemma.This improves previous results in one variable.An example is included to complement our theory.

A general question behind this paper is to explore a good notion for intrinsic curvature in the framework of noncommutative geometry started by Alain Connes 80s. It has only recently begun (2014) be comprehended via intensive study modular on two tori. In paper, we extend recent results tori larger class manifolds: toric manifolds. The first contribution work pseudo differential calculus which suitable spectral As main application, derive expression with respect conformal change metric By...

In this paper, the definition of derivative meromorphic functions is extended to holomorphic maps from a plane domain into complex projective space. We then use it study normality criteria for families maps. The results ob

For a prime number p, let $\mathbb{Q}_{p}$ be the field of p-adic numbers. In this paper, we establish boundedness class singular integral operators on generalized Morrey spaces. We also consider corresponding for commutators by and Lipschitz functions or Campanato functions.

As the core component of Industrial Internet Things, Wireless Sensor Network (IWSN) has played a significant role in promoting production automation. Different from conventional (WSN), IWSN stricter requirements for data transmission delay and energy con-sumption. However, many existing clustering algorithms only focus on prolonging lifetime network, rather than optimizing to base station (BS). Therefore, an improved quantum whale optimization algorithm (IQWOA) specifically designed IWSNs is...

Abstract In this article, we investigate the precise expression forms of entire solutions for two certain Fermat-type ordinary differential equations: <m:math xmlns:m="http://www.w3.org/1998/Math/MathML" display="block"> <m:msup> <m:mrow> <m:mo>(</m:mo> <m:msub> <m:mi>a</m:mi> </m:mrow> <m:mn>0</m:mn> </m:msub> <m:mi>f</m:mi> <m:mo>+</m:mo> <m:mn>1</m:mn> <m:mo accent="true">′</m:mo> </m:msup> <m:mo>)</m:mo> <m:mn>2</m:mn> <m:mo>=</m:mo> <m:mi>p</m:mi> </m:math>...

In this article, we give an exposition on the Holmes-Thompson theory developed by Alvarez. The space of geodesics in Minkowski has a symplectic structure which is induced projection from sphere-bundle. show that it can be also obtained tangent bundle Riemannian manifold, unit sphere. We detailed descriptions and expositions volumes Crofton measures for them. For plane, normed two dimensional space, express area explicitly integral geometry way, putting measure gives extension Alvarez's...

In 1933, H. Cartan proved a Second Main Theorem for holomorphic curve into <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="double-struck upper P Superscript N Baseline left-parenthesis double-struck C right-parenthesis"> <mml:semantics> <mml:mrow> <mml:msup> <mml:mrow class="MJX-TeXAtom-ORD"> <mml:mi mathvariant="double-struck">P</mml:mi> </mml:mrow> <mml:mi>N</mml:mi> </mml:msup> <mml:mo stretchy="false">(</mml:mo>...

In this paper, we studied the boundedness and compactedness of integral operators from weighted Dirichlet spaces DK to Morrey type H2K. Carleson measure essential norm were also considered.

For a multi-agent spatial Parrondo's model that it is composed of games A and B, we use the discrete time Markov chains to derive probability transition matrix. Then, respectively deduce stationary distribution for B played individually randomized combination game + B. We notice under specific set parameters, two absorbing states instead fixed exist in However, can jump out has because "agitating" role A. Moreover, starting at different initial states, probabilities absorption barriers.

Motivated by Eremenko?s accomplisshment of a Picard-type theorem [Period Math Hung. 38 (1999), pp.39-42.], we study the normality families holomorphic mappings several complex variables into PN(C) for moving hypersurfaces located in general position. Our results generalize and complete previous this area, especially works Dufresnoy, Tu-Li, Tu-Cao, Yang-Fang-Pang recent work Ye-Shi-Pang.

Abstract KGa[Fe(CN) 6 ]·nH 2 O is synthesized by mixing equimolar aqueous solutions of Ga(NO 3 ) and K 4 [Fe(CN) ].

We give a connection between the Picard type theorem of Polya-Saxer-Milliox and characterization entire solutions differential equation then their higher dimensional extensions, which leads further results on both (ordinary partial) equations theorems.

In this paper we study a family of ?-normal meromorphic functions, and obtain some results which improve generalize previous in area, especially the works Lappan [2], Aulaskari- R?tty? [1], Xu-Qiu [7] recent work Tan-Thin [6].

Let M be a complete complex Hermitian manifold with metric EM. A holomorphic mapping f:Cm→M is called p-Yosida if ∥z∥2−pEM(f(z),df(z)(ξ)) bounded above for z,ξ∈Cm ∥ξ∥=1, where df(z) the from Tz(Cm) to Tf(z)(M) induced by f. We formulate and prove criterion of mappings belonging class all its applications establish two different analogues Lappan's five-point theorem.