In the article, some Huygens inequalities involving trigonometric and hyperbolic functions are refined and sharpened. Mathematics subject classification (2010): Primary 26D05; Secondary 33B10.

The object of the present paper is to study generalized φ− recurrent and generalized concircular φ− recurrent P-Sasakian manifold. AMS Mathematics Subject Classification (2010): 53B20, 53D15.

We show that the property of admitting a coarse median structure is preserved under relative hyperbolicity for finitely generated groups. 2010 Mathematics Subject Classification : 20F65

We show that the fundamental group is not invariant under derived equivalence of smooth projective varieties. 2010 Mathematics Subject Classification. Primary 14-F05; Secondary 14-F35.

We investigate functional properties of the mixed volume that are sufficient to characterize it, up to elementary modifications. 2010 Mathematics Subject Classification: 52A39

The notion of quasi-asymptotic behavior for the space of Boehmians is introduced and studied. AMS Mathematics Subject Classification (2010): 44A40, 46F05, 41A60, 44A15, 46F12.

School mathematics has essentially two sources: the practical concepts of arithmetic and geometry that students need if they are to become productive, literate citizens, more abstract generalisations allow them reason about numbers, shapes, phenomena. In other words, school is necessity both applied pure. Until middle twentieth century, pole dominated in primary grades pure secondary grades. Du...

Two subjects are addressed. A series of mass distributions is explicitly presented, that generate zero gravitation …eld in an open set in E. Second, an explicit reconstruction formula in E from data of spherical means with centers in an algebraic set. For both constructions, the same geometric method is applied based on properties of a special class of polynomials. Key words oscillatory set hyp...

* Correspondence: [email protected] Department of Mathematics, Faculty of Science, Naresuan University, Phitsanulok 65000, Thailand Full list of author information is available at the end of the article Abstract The purpose of this paper is to prove some existence theorems for fixed point problem by using a generalization of metric distance, namely u-distance. Consequently, some special cases are...

Abstract Let p be a prime integer and let k ∈N. We purpose factorization of X2k +1 (mod p) allowing ti give primality criterion for Fermat numbers. Mathematics Subject Classification 2010 11A07 11 A 51