Wheat is an important crop of India. Precise estimates of evapotranspiration can be obtained by multiplying crop coefficients to reference evapotranspiration using readily available climatic data. PenmanMonteith equation is adopted world wide as the most reliable and accurate method for computing reference evapotranspiration. The Food and Agriculture Organization (FAO) presented crop coefficien...

Unique input/output(UIO) sequences are used for state veri cation and functional test in nite state machines. A UIO sequence for a state s distinguishes it from other states in the FSM. Current algorithms to compute UIO sequences are limited in their applicability to FSMs with binary input symbols such as those found in control applications. Execution times of traditional approaches are exponen...

In this note, we explore a connection between two seemingly different problems from two different domains: the small-set expansion problem studied in unique games conjecture, and a popular community finding approach for social networks known as the modularity clustering approach. We show that a sub-exponential time algorithm for the small-set expansion problem leads to a sub-exponential time co...

We study the problem of efficiently constructing a curve C of genus 2 over a finite field F for which either the curve C itself or its Jacobian has a prescribed number N of F-rational points. In the case of the Jacobian, we show that any ‘CM-construction’ to produce the required genus-2 curves necessarily takes time exponential in the size of its

Let X be an elliptic curve or a ramifying hyperelliptic over Fq. We will discuss how to factorize the coefficients of exponential and logarithm series for Hayes module such curve. This allows us obtain v-adic convergence results series, v “finite” prime. As application, we can show that Goss L-value Lv(1,Ψ) is log-algebraic suitable characters Ψ.

We discuss the use of Kaniadakis’ κ-exponential in the construction of a statistical manifold modelled on Lebesgue spaces of real random variables. Some algebraic features of the deformed exponential models are considered. A chart is defined for each strictly positive densities; every other strictly positive density in a suitable neighborhood of the reference probability is represented by the c...

Recently, there has been a great deal of interest in the construction of exponential integrators. These integrators, as their name suggests, use the exponential function (and related functions) of the Jacobian or an approximation to it, inside the numerical method. However, unlike some of the recent literature suggests, integrators based on this philosophy have been known since at least 1960. T...

While several plots of the aggregate age distribution suggest that firm age is exponentially distributed, we find some departures from the exponential benchmark. At the lower tail, we find that very young establishments are more numerous than expected, but they face high exit hazards. At the upper tail, the oldest firms are older than the exponential would have predicted. Furthermore, the age d...