In this communication, we present a new approach towards RT-TDDFT through time-dependent KS equations based on an adiabatic eigenstate subspace (AES) procedure. It introduces second-order split operator technique in energy representation to implement the approximate TD propagator AES. Most of elements TDKS matrix are directly computed Cartesian coordinate grid (CCG). To demonstrate internal con...

A non-informative cue (C) elicits an inhibition of manual reaction time (MRT) to a visual target (T). We report an experiment to examine if the spatial distribution of this inhibitory effect follows Polar or Cartesian coordinate systems. C appeared at one out of 8 isoeccentric (7o) positions, the C-T angular distances (in polar coordinates) were 0o or multiples of 45o and ISI were 100 or 800ms....

We formulate angle decomposition, during and after wavefield extrapolation, independent of the choice of coordinate systems. The key idea is to describe the source-receiver separation during wavefield extrapolation as a vector quantity. This formulation links the reflection angle to the magnitude of the offset vector, thus reducing the cost and storage associated with angle decomposition. This ...

We present an algorithm for efficiently computing ray intersections with multi-resolution global terrain which is partitioned by spheroidal height-augmented quadtrees. While previous methods support terrain defined on a Cartesian coordinate system, our methods support terrain defined on a two-parameter ellipsoidal coordinate system. This curvilinear system is necessary for an accurate model of ...

We present an algorithm for eeciently computing ray intersections with multi-resolution global terrain partitioned by spheroidal height-augmented quadtrees. While previous methods support terrain deened on a Cartesian coordinate system, our methods support terrain deened on a two-parameter ellipsoidal coordinate system. This curvilin-ear system is necessary for an accurate model of global terra...

This paper focuses on contrastive learning for gait-based emotion recognition. The existing approaches are rarely suitable skeleton-based gait representations, which suffer from limited diversity and inconsistent semantics. In this paper, we propose a Cross-coordinate framework utilizing Ambiguity samples self-supervised Gait-based Emotion representation (CAGE). First, ambiguity transform to pu...

In this article we investigate the LBB condition for axisymmetric flow problems. Specifically, the sufficiency condition for approximating pairs to satisfy the LBB condition established by Stenberg in the Cartesian coordinate setting is presented for the cylindrical coordinate setting. For the cylindrical coordinate setting, the Taylor-Hood (k = 2) and conforming Crouzeix-Raviart elements are s...

In this article we investigate the LBB condition for axisymmetric flow problems. Specifically, the sufficiency condition for approximating pairs to satisfy the LBB condition established by Stenberg in the Cartesian coordinate setting is presented for the cylindrical coordinate setting. For the cylindrical coordinate setting, the Taylor-Hood (k = 2) and conforming Crouzeix-Raviart elements are s...

For the present discussion, we define a “coordinate system” as a system for describing positions in space. Any physical law should be expressible in a form that is invariant with respect to our choice of coordinate systems; we certainly do not expect that the laws of physics change when we switch from spherical coordinates to cartesian coordinates! It follows that we should be able to express p...