Because of the similarities in the algorithm it is quite common to implement division and square root in the same unit. The purpose of this work is to implement a low-power combined radix-4 division and square root floating-point double precision unit and to compare its performance and energy consumption with a radix-4 division only unit. Previous work has been done on reducing the energy dissi...

In this article, we introduce a systematic new method to investigate the conjectural p-adic meromorphic continuation of Professor Bernard Dwork’s unit root zeta function attached to an ordinary family of algebraic varieties defined over a finite field of characteristic p. After his pioneer p-adic investigation of the Weil conjectures on the zeta function of an algebraic variety over a finite fi...

In this paper we examine monthly mean temperatures in 40 selected stations Siberia for the time period January 1937–December 2020 using long range dependence techniques. particular, use a fractionally integrated model that incorporates linear trend along with seasonal structure. Our results show first memory is present all significantly positive values differencing parameter, though, at same co...

We consider pure-jump transaction-level models for asset prices in continuous time, driven by point processes. In a bivariate model that admits cointegration, we allow for time deformations to account for such effects as intraday seasonal patterns in volatility, and non-trading periods that may be different for the two assets. Most assumptions are stated directly on the point process, though we...

The situation where the available data arise from a general linear process with a unit root is discussed. We propose a modi cation of the Block Bootstrap which generates replicates of the original data and which correctly imitates the unit root behavior and the weak dependence structure of the observed series. Validity of the proposed method for estimating the unit root distribution is shown. R...

Surface area of root (m-2) Concentration of solutes (osmolal) Average solute concentration between inside and outside of root Diameter Diffusion coefficient (m2 s-l) Mass flow of solution (kg s-l) Classical root hydraulic conductance (kg s-I MPa-l) Mass flux density or Fm per unit root surface area (kg s-I m-2) Solute flux density (mol s-I m-2) Thermodynamic root hydraulic conductance (kg s-I M...

The Wiener-Kolmogorov (WK) signal extraction filter, extended to handle nonstationary signal and noise, has minimum Mean Square Error (MSE) among filters that preserve the signal’s initial values; however, the stochastic dynamics of the signal estimate typically differ substantially from that of the target. The use of such filters, although widespread, is observed to produce dips in the spectru...

The impulse and propagation mechanisms of business cycles have long been debated; however, until recently, economists were in fairly broad agreement that business fluctuations could be studied separately from the secular growth of the economy. This separation was justified because, to a first approximation, the factors underlying trend growth were assumed to be stable at business-cycle frequenc...