in this paper we introduce and study besselian $g$-frames. we show that the kernel of associated synthesis operator for a besselian $g$-frame is finite dimensional. we also introduce $alpha$-dual of a $g$-frame and we get some results when we use the hilbert-schmidt norm for the members of a $g$-frame in a finite dimensional hilbert space.

We argue that correct account of the quantum properties of macroscopic objects which form reference frames (RF) demand the change of the standard space-time picture accepted in Quantum Mechanics. Galilean or Lorentz space-time transformations are shown to become incorrect in this case and for the description of transformations between different RF the special quantum space-time transformations ...

Soft shadow with respect to the sun’s position in virtual environments is a fascinating topic in outdoor rendering. A coherent mathematic formula to create shadow with respect to the sun’s position in specific location, date and time can make outdoor rendering as easy as indoor rendering. A target of this study is to propose a new coherent formula to do this. Outdoor rendering using a coherent ...

this paper proposes a novel approach for coherent generators online clustering in a large power system following a wide area disturbance. an interconnected power system may become unstable due to severe contingency when it is operated close to the stability boundaries. hence, the bulk power system controlled islanding is the last resort to prevent catastrophic cascading outages and wide area bl...

let $f: arightarrow b$ be a ring homomorphism and let $j$ be an ideal of $b$. in this paper, we investigate the transfer of the property of coherence to the amalgamation $abowtie^{f}j$. we provide necessary and sufficient conditions for $abowtie^{f}j$ to be a coherent ring.

Given two consecutive frames, video interpolation aims at generating intermediate frame(s) to form both spatially and temporally coherent video sequences. While most existing methods focus on single-frame interpolation, we propose an end-to-end convolutional neural network for variable-length multi-frame video interpolation, where the motion interpretation and occlusion reasoning are jointly mo...