We examined how the transformation of coordinates from visual to motor space is reflected by neuronal activity in the ventral premotor cortex (PMv) of monkeys. Three monkeys were trained to reach with their right hand for a target that appeared on a screen. While performing the task, the monkeys wore prisms that shifted the image of the target 10 degrees, left or right, or wore no prisms, for a...

Paleoclimatology requires the analysis of paleo time-series, obtained from a number of independent techniques and instruments, produced by several researchers and/or laboratories. Analytical reasoning techniques that combine the judgment of paleoceanographers with automated reasoning techniques are needed to gain deep insights about commplex climatic phenomena. This paper presents an interactiv...

In [1] and [2], we studied the problem of the existence and uniqueness of a solution to some general BSDE on manifolds. In these two articles, we assumed some Lipschitz conditions on the drift f(b, x, z). The purpose of this article is to extend the existence and uniqueness results under weaker assumptions, in particular a monotonicity condition in the variable x. This extends well-known result...

The solvability in Sobolev spaces W 1,2 p is proved for nondivergence form second order parabolic equations for p > 2 close to 2. The leading coefficients are assumed to be measurable in the time variable and two coordinates of space variables, and almost VMO (vanishing mean oscillation) with respect to the other coordinates. This implies the W 2 p -solvability for the same p of nondivergence f...

The geometry of curved Clifford space (C-space) is investigated. It is shown that the curvature in C-space contains higher orders of the curvature in the underlying ordinary space. A C-space is parametrized not only by 1-vector coordinates x µ but also by the 2-vector coordinates σ since they describe the holographic projections of 1-lines, 2-loops, 3-loops, etc., onto the coordinate planes. It...

Particles with negative energies are considered for three different cases: inside of horizon Schwarzschild black hole, Milne's coordinates in flat Minkowski space-time (Milne's universe using nonsynchronous coordinates) and cosmological G\"{o}del model the rotating universe. It is shown that differently from nondiagonal term where it occurs impossible they present all other cases paper. zero en...

IN transcribing the process of light-signalling which leads to his kinematic equations of transformation, Einstein* obtains relations, connecting the space-time coordinates in two systems of reference, in the form of functional equations. He solves these by passing to partial differential equations, and restricts the solutions to linearity by a rather obscure appeal to the homogeneity of time a...

— Conventional Augmented Reality has used data gloves or markers for smooth interaction between objects and background. This causes inconvenience of use and lower immersion. To build up immersion in Augmented Reality, additional input devices must be removed. For this purpose, accurate recognition of space coordinates is needed even with no attachment of markers. This paper proposes a method to...

Nonrelativistic Newton and Schrödinger equations remain correct not only under holonomic but also under nonholonomic transformations of the spacetime coordinates. Here we study the properties of transformations which are holonomic in the space coordinates while additionally tranforming the time in a path-dependent way. This makes them nonholonomic in spacetime. The resulting transformation form...