Suppose that (X, g) is a conformally compact (n+1)-dimensional manifold that is hyperbolic near infinity in the sense that the sectional curvatures of g are identically equal to minus one outside of a compact set K ⊂ X. We prove that the counting function for the resolvent resonances has maximal order of growth (n + 1) generically for such manifolds. This is achieved by constructing explicit ex...

There is a tendency to write the equations of general relativity as a first order symmetric system of time dependent partial differential equations. However, for numerical reasons, it might be advantageous to use a second order formulation like one obtained from the ADM equations. Unfortunately, the type of the ADM equations is not well understood and therefore we shall discuss, in the next sec...

There is a tendency to write the equations of general relativity as a first order symmetric system of time dependent partial differential equations. However, for numerical reasons, it might be advantageous to use a second order formulation like one obtained from the ADM equations. Unfortunately, the type of the ADM equations is not well understood and therefore we shall discuss, in the next sec...

We introduce a class of utility-based market makers that always accept orders at their risk-neutral prices. We derive necessary and sufficient conditions for such market makers to have bounded loss. We prove that hyperbolic absolute risk aversion utility market makers are equivalent to weighted pseudospherical scoring rule market makers. In particular, Hanson’s logarithmic scoring rule market m...

Elliptic pseudoanalytic function theory was considered independently by Bers and Vekua decades ago. In this paper we develop a hyperbolic analogue of pseudoanalytic function theory using the algebra of hyperbolic numbers. We consider the Klein-Gordon equation with a potential. With the aid of one particular solution we factorize the Klein-Gordon operator in terms of two Vekua-type operators. We...

This article places two Japan-Korea collaboration films produced during the Pacific War— Suicide Squad at the Watchtower (B!r! no kesshitai, 1943) and Love and the Vow (Ai to chikai, 1945)—within the broader colonial and transnational context of filmmaking. Specifically, it focuses on the relationship of these films to the careers of their co-directors, Imai Tadashi (1912– 1991) and Ch’oe In-gy...

In this paper, we investigate some innovative and exact travelling wave solutions to the time-fractional phi-four equation (2+1) dimensional Calogero-Bogoyavlanskil schilf (CBS) using ( )-expansion method. Periodic are displayed in hyperbolic, trigonometric, rational function solutions. Subsequently, construct new connecting free parameters of CBS equation, which characterized into three comple...

S. Lang [L] conjectured in 1974 that a hyperbolic algebraic variety defined over a number field has only finitely many rational points, and its analogue over function fields. We discuss the Nevanlinna-Cartan theory over function fields of arbitrary dimension and apply it for Diophantine property of hyperbolic projective hypersurfaces (homogeneous Diophantine equations) constructed by Masuda-Nog...

The hyperbolic tangent function and its derivative are key essential element in analog signal processing and especially in analog VLSI implementation of neuron of artificial neural networks. The main conditions of these types of circuits are the small silicon area, and the low power consumption. The objective of this paper is to study and design CMOS VLSI hyperbolic tangent function and its der...