As the first attempt of automatic personal identification by palmprint, in this paper, two novel characteristics, datum point invariance and line feature matching, are presented in palmprint verification. The datum points of palmprint, which have the remarkable advantage of invariable location, are defined and their determination using the directional projection algorithm is developed. Then, li...

We consider a Cauchy problem for a scalar conservation law in one space dimension with a compactly supported initial datum,

Abstract We consider the Allen–Cahn equation $${\partial _t}{u}-\Delta u=u-u^3$$ ∂ t u - Δ = 3 with a rapidly mixing Gaussian field as init...

Ever since Locke (1690/1998) introduced the notion of the fact in 1690, mediated human communication has revolved around facticity—the claim that a given datum or narrative does or does not refer to empirical reality. Distinctions between fact and fiction, fact and opinion, fact and falsehood, and fact and error are important for legal, economic, and often social treatment of information and th...

Following a summary of the basic principles of pulsar timing, we present a review of recent results from timing observations of relativistic binary pulsars. In particular, we summarize the status of timing observations of the much celebrated original binary pulsar PSR B1913+16, draw attention to the recent confirmation of strong evidence for geodetic precession in this system, review the recent...

In this paper, we consider the n-dimensional (n ≥ 2) damped models of incompressible fluid mechanics in Besov spaces and establish the global (in time) regularity of classical solutions provided that the initial data are suitable small.