Throughout our work on the Lê cycles of an affine hypersurface singularity (see [M2-5]), our primary algebraic tool consisted of a method for taking the Jacobian ideal of a complex analytic function and decomposing it into pure-dimensional “pieces”. These pieces were obtained by considering the relative polar varieties of Lê and Teissier (see, for example, [L-T], [T1], [T2]) as gap sheaves in t...

It has sometimes been proposed that generic sentences make statements about prototypic members of a category. In this paper I will elaborate this view and develop an account where generic sentences express quantification about the normal exemplars in a category— here and in counterfactual worlds sufficiently similar to our own. Comparing the account to the currently most widespread analysis whi...

The present study aimed to investigate the generic organization of research article introductions in local Iranian and international journals in English for Specific Purposes, English for General Purposes, and Discourse Analysis. Overall, 120 published articles were selected from the established journals representing the above subdisciplines. Each subdiscipline was represented by 20 local and 2...

This paper presents a data mining methodology to analyze the careers of University graduated students. We present different approaches based on clustering and sequential patterns techniques in order to identify strategies for improving the performance of students and the scheduling of exams. We introduce an ideal career as the career of an ideal student which has taken each examination just aft...

let $l$ be a completely regular frame and $mathcal{r}l$ be the ‎ring of continuous real-valued functions on $l$‎. ‎we show that the‎ ‎lattice $zid(mathcal{r}l)$ of $z$-ideals of $mathcal{r}l$ is a‎ ‎normal coherent yosida frame‎, ‎which extends the corresponding $c(x)$‎ ‎result of mart'{i}nez and zenk‎. ‎this we do by exhibiting‎ ‎$zid(mathcal{r}l)$ as a quotient of $rad(mathcal{r}l)$‎, ‎the‎ ‎...

Software patterns are recognized as an ideal documentation of expert knowledge in software design and development. However, its formal model and semantics have not been generalized and matured. The traditional UML specifications and related formalization efforts cannot capture the essence of generic patterns precisely, understandably, and essentially. A generic mathematical model of patterns is...

We characterize all pairs of graphs (G1, G2), for which the binomial edge ideal JG1,G2 has linear relations. We show that JG1,G2 has a linear resolution if and only if G1 and G2 are complete and one of them is just an edge. We also compute some of the graded Betti numbers of the binomial edge ideal of a pair of graphs with respect to some graphical terms. In particular, we show that for every p...

the present study aimed to investigate the generic organization of research article introductions in local iranian and international journals in english for specific purposes, english for general purposes, and discourse analysis. overall, 120 published articles were selected from the established journals representing the above subdisciplines. each subdiscipline was represented by 20 local and 2...