There is no agreement about the location of Aśmaka, but since the Āryabhaṭian school has remained strong in Kerala in South India, some believe that he may have belonged to that region. In addition, Āryabhaṭa employed the Kali era (3102 BC) which remains popular in South India. The Aśmaka people were taken in early literature to belong either to northwest India or the region in South India betw...

In math we typically assume a set of axioms to prove a theorem. In reverse mathematics, the premise is reversed: we start with a theorem and try to determine the minimal axiomatic system required to prove the theorem (over a weak base system). This produces interesting results, as it can be shown that theorems from different fields of math such as group theory and analysis are in fact equivalen...

Introduction Computer Based Learning (CBL) is a field of growing interest in the University and in schools of any degree, but the availability of effective CBL products (H. Anton, R. Larson et al.), is limited by some critical factors: the difficulty to define the full structure (contents, static and dynamic aspects) of the electronic book; the difficulty for the teachers to adapt the form of t...

Computation and continuation of traveling waves in phase field models: The computation of certain traveling waves has been shown to correspond to that of heteroclinic connections between equilibrium points of a dynamical system (see [10], [17]). The problem of computation and continuation of connecting orbits between equilibrium points and periodic orbits can be fully understood from [3],[4], a...

in this paper mathematical extensions and generalizations of the pearl-reed model for'growth with saturation are discussed. the derived differential equation are of bernoulli and riccati type that owing to their special forms could be explicitely integrated resulting in closed form solutions. the asymptotic bahaviour of the system in each case is briefly examined and the results are compar...

Mathematics Mukul Agrawal 4 January, 2002 Electrical Engineering, Stanford University, Stanford, CA 94305