We present novel effects of uniform rapid stellar rotation on the minimum mass stable hydrogen burning in very low stars, using an analytic model, and relaxing assumption spherical symmetry. obtain formula for as a function angular speed rotation. Further, we show existence maximum such which is purely artefact The this extremum results admissible value period $\sim 22$ min, below object does n...

The floor of the square root sequence is the natural sequence, where each number is repeated 2n+1 times. In this paper, we use analytic method to study the mean value properties of its generalization, and give an interesting asymptotic formula.

Introduction The motivating example for the main theorem of this paper is the following elementary factorization in the Banach algebra c0 of complex sequences converging to zero. If a; is in c0, then there is an a ^ 0 in c0 such that x is in f(a).c0 for each continuous function / on [0, oo) with J-i{0} = {0} and/not tending to zero 'too quickly' as t tends to zero. This observation is essential...

An analogue of the notion of uniformly separated sequences, expressed in terms of canonical divisors, is shown to yield a necessary and sufficient condition for interpolation in the Bergman space Ap, 0 < p < ∞. A sequence Γ = {zj} of distinct points in the open unit disk D = {z : |z| < 1} of the complex plane is a classical interpolation sequence if for every bounded sequence {aj}, there is a b...

We prove standard results of group cohomology – namely, existence a long exact sequence, classification torsors via the first group, Shapiro’s lemma, Hochschild-Serre spectral decomposition cochain complex in direct product case, and Jannsen’s result on recovery problem for theories such as continuous, analytic, bounded, pro-analytic cohomology. also these certain monoids, applications we have ...

the analytic signal method is usually used to interpret the magnetic and gravity anomalies. the main advantage of using analytic signal method in interpretation of magnetic source parameters from magnetic anomalies is that the amplitude dip of the analytic signal is independent of directional parameters like magnetization and the dip of the source. using the coefficient of the amplitude to esti...

Let K = ( k j ) be an increasing sequence of integers, 0 , and E a class analytic in the disk D z : &#60; 1 functions f such that for some p &#8712; &#8469; all derivatives are middle -valent . It is proved every function entire if only lim &#8594; &#8734; ln - &#8721; s +

In the paper, a Dirichlet series ζuN(s) whose shifts ζuN(s+ikh), k=0,1,⋯, h&gt;0, approximate analytic non-vanishing functions defined on right-hand side of critical strip is considered. This closely connected to Riemann zeta-function. The sequence uN→∞ and uN≪N2 as N→∞.

Demand for intelligent surveillance in public transport systems is growing due to the increased threats of terrorist attack, vandalism and litigation. The aim of intelligent surveillance is in-time reaction to information received from various monitoring devices, especially CCTV systems. However, video analytic algorithms can only provide static assertions, whilst in reality, many related event...