in this paper, we establish some new results in ultra bessel sequences and ultra bessel sequences of subspaces. also, we investigate ultra bessel sequences in direct sums of hilbert spaces.specially, we show that {( fi, gi)}∞ i=1 is a an ultra bessel sequencefor hilbert space h ⊕ k if and only if { fi}∞ i=1 and {gi}∞ i=1 are ultrabessel sequences for hilbert spaces h and k, respectively.

Nonstationary processes in seismic modeling may be represented numerically by Gabor multipliers and generalized frame operators. These numerical algorithms are based on a localized version of the Fourier transform and share many of the speed and accuracy benefits of the FFT, while modeling nonstationarity. We demonstrate applications to seismic deconvolution and numerical wavefield propagation,...

Reducing the power dissipation of parallel multipliers is important in the design of digital signal processing systems. In many of these systems, the products of parallel multipliers are rounded to avoid growth in word size. The power dissipation and area of rounded parallel multipliers can be signi cantly reduced by a technique known as truncated multiplication. With this technique, the least ...

Studies regarding the computation of Optimal Control Problems (OCPs) with terminal inequality constraint, under the frame of the Variation Evolving Method (VEM), are carried out. The attributes of equality constraints and inequality constraints in the generalized optimization problem is traversed, and the intrinsic relations to the multipliers are uncovered. Upon these preliminaries, the right ...

the activity of aspartate aminotransferase (ast) in human serum has been widely determined as a diagnostic aid in liver disease. in this study, the effect of aluminium on ast isoenzymes in relation to aluminium intoxified patients has been investigated. using gel filtration chromatography technique with sephacryl s-300, mitochondrial aminotransferase (m-ast) and cytosolic aminotransferase (c-as...

ÐThis paper considers the design of bit-parallel dedicated finite field multipliers using standard basis. An explicit algorithm is proposed for efficient construction of Mastrovito product matrix, based on which we present a systematic design of Mastrovito multiplier applicable to GF …2m† generated by an arbitrary irreducible polynomial. This design effectively exploits the spatial correlation ...

let $l$ be a completely regular frame and $mathcal{r}l$ be the ringof continuous real-valued functions on $l$. we study the frame$mathfrak{o}(min(mathcal{r}l))$ of minimal prime ideals of$mathcal{r}l$ in relation to $beta l$. for $iinbeta l$, denoteby $textit{textbf{o}}^i$ the ideal${alphainmathcal{r}lmidcozalphain i}$ of $mathcal{r}l$. weshow that sending $i$ to the set of minimal prime ideals...