so far, various romanization schemes have been proposed for capturing persian text using latin alphabet. however, each have served a very specific and yet limited function. this paper proposes an extended romanization scheme that can facilitate a wide range of encoding needed in the field of natural language processing. the proposed scheme endeavors to preserve both orthographic and phonologica...

In this article we study two classical potential-theoretic problems in convex geometry. The first problem is an inequality of Brunn-Minkowski type for a nonlinear capacity, Cap <mm...

Miles Simon and the second author, in their recent work [Geom. Topol. 25 (2021), pp. 913–948], established a local bi-Hölder correspondence between weakly noncollapsed Ricci limit spaces three dimensions smooth manifolds. In particular, any open ball of finite radius such space must be homeomorphic to some subset complete Riemannian three-manifold. this we build on technology from author [J. Di...

We consider two sequences a ( n stretchy="false">) a(n) </mml:semant...

I. J. Good [Proc. Cambridge Philos. Soc. 37 (1941), pp. 199–228] showed that the set of irrational numbers in ( 0 , 1 stretchy="...

The celebrated Zariski Cancellation Problem asks as to when the existence of an isomorphism X × <mml:mrow class="MJ...

Let f n ( z</mml...

In this paper, we initiate a systematic study of entanglements division fields from group theoretic perspective. For positive integer n n and...