Lifting of Quaternionic Frames to Higher Dimensions with Partial Ridges

removable partial denture with rotational path of insertion

چکیده ندارد.

Measure Theoretic Characterization of Multiresolution Frames in Higher Dimensions

We extend some of the classical results of the theory of multiresolution analysis (MRA) frames to Euclidean space Rd; d > 1; and provide relevant examples. In the process, we use the theory of shift-invariant subspaces to bring new insights to the theory of frame multiresolution analysis. In particular, we establish an analogue of the Mallat-Meyer algorithm for multidimensional MRA frames when ...

Asymptote: Lifting TEX to three dimensions

Asymptote, a modern successor to the METAPOST vector graphics language that features robust floatingpoint numerics, high-order functions, and deferred drawing, has recently been enhanced to generate fully interactive three-dimensional output. This data can either be viewed with Asymptote’s native OpenGL-based renderer or internally converted to Adobe’s highly compressed PRC format for embedding...

LIFTING MODULES WITH RESPECT TO A PRERADICAL

Let $M$ be a right module over a ring $R$, $tau_M$ a preradical on $sigma[M]$, and$Ninsigma[M]$. In this note we show that if $N_1, N_2in sigma[M]$ are two$tau_M$-lifting modules such that $N_i$ is $N_j$-projective ($i,j=1,2$), then $N=N_1oplusN_2$ is $tau_M$-lifting. We investigate when homomorphic image of a $tau_M$-lifting moduleis $tau_M$-lifting.

Half-whole Dimensions in Quaternionic Quantum Mechanics