This paper introduces the multiarmed bandit problem with deadlines, which concerns the dynamic selection of a live project to engage out of a portfolio of Markovian bandit projects expiring after given deadlines, to maximize the expected total discounted or undiscounted reward earned. Although the problem is computationally intractable, a natural heuristic policy is obtained by attaching to eac...

the treatise entitled “arithmetic in astronomy”, which is edited and commented upon in this paper, is part of an old manuscript collection preserved in the national library of bosnia and herzegovina. at the end of this treatise there are some phrases in arabic which show that the treatise was originally part of a persian book written by ʿalī al-qūshchī. this manuscript is, in fact, an abridged ...

Let S be finite nonempty set of inequivlent valuations on Fp(t), and OS be the ring of S-integers. If Bn is the solvable, linear algebraic group of upper triangular matrices with determinant 1, then the solvable S-arithmetic group Bn(OS) has a finite index subgroup with infinite dimensional cohomology group in dimension |S|.

In this paper, we propose a rigorous computational method for detecting homoclinic tangencies and structurally unstable connecting orbits. It is a combination of several tools and algorithms, including the interval arithmetic, the subdivision algorithm, the Conley index theory, and the computational homology theory. As an example we prove the existence of generic homoclinic tangencies in the Hé...

Diagnostic tests have been developed previously to measure algebraic thinking skills; however, the do not specifically address problem-solving. Thus, an Algebraic Thinking Test (ATT) Instrument was skills in problem-solving involving linear equations. ATT comprises nine open-ended questions with three constructs: Generalized Arithmetic, Functions and Modeling. arithmetic involves students effic...

This the original TEX file for my article Abelian Varieties, published as Chapter V of Arithmetic geometry (Storrs, Conn., 1984), 103–150, Springer, New York, 1986. The table of contents has been restored, some corrections have been made,1 there are minor improvements to the exposition, and an index has been added. The numbering is unchanged.

Phenol formaldehyde (phenolic resin) has a wide range of moldings. However, it immense consumption in manufacturing electrical equipment due to its insulating property. Phenolic resin retains properties at the freezing point, and also age cannot be determined. Due insulator property, use equipment. In this article, degree-based topological indices phenol are determined with help M-polynomial. W...

In this article we prove a generalization of Selberg’s lemma on the existence of torsion free, finite index subgroups of arithmetic groups. Some of the geometric applications are the resolution a conjecture of Nimershiem and answers to questions of Long–Reid and the author.