Maps to projective spaces correspond to linear series. To better study linear series on smooth curves, Eisenbud and Harris developed their theory of limit linear series for reducible curves of “compact type.” We discuss a new equivalent description of classical Eisenbud-Harris limit linear series which generalizes to the higher-rank case, agreeing with the earlier construction of Teixidor i Big...

In Incremental Sheet Forming (ISF) strains can be obtained well above the Forming Limit Curve (FLC) that is applicable to common sheet forming operations like deep drawing and stretching. This paper presents an overview of mechanisms that have been suggested to explain the enhanced formability. The difference between fracture limit and necking limit in sheet metal forming is discussed. The neck...

We provide an elementary approach to integrable systems associated with hyperelliptic curves of infinite genus. In particular, we explore the extent to which the classical Burchnall-Chaundy theory generalizes in the infinite genus limit, and systematically study the effect of Darboux transformations for the KdV hierarchy on such infinite genus curves. Our approach applies to complex-valued peri...

In this research, Forming Limit Diagrams for supertension sheet metals which are using in automobile industry have been obtained. The exerted strains to sheet metals have been measured with four different methods and the errors of each method have also been represented. These methods have been compared with together and the most efficient and economic way of extracting of the exerted strains to...

The usage of ultra-high strength aluminium alloys (EN AW-7000 series) offers a great weight saving potential due to the high rigidity and specific values. Various heat assisted forming technologies have been developed in order improve limited formability at room temperature thus be able increase geometrical complexity such sheet metal parts. In this study behaviour EN AW-7021 alloy is described...

We construct unramified central simple algebras representing 2-torsion classes in the Brauer group of a hyperelliptic curve, and show that every 2-torsion class can be constructed this way when the curve has a rational Weierstrass point or when the base field is C1. In general, we show that a large (but in general proper) subgroup of the 2torsion classes are given by the construction. Examples ...

In this brief note, we prove the following two Artin-Schreier curves are supersin-gular.

Growing demand for sustainable products has led to increased interest in the use of paperboard as a structural material. Paperboard products are almost exclusively manufactured by embossing, pulp molding, and bending processes. Other well-known forming methods, such as deep or stretch drawing, are only rarely applied to paperboard. This is primarily ascribed to the lack of knowledge concerning ...

in present study, a sybr green based real time pcr assay was developed for specific detection and quantification of bacillus subtilis in dough used for bread making. new primer pairs were designed to amplify a 212 base pair fragment of the apre gene. specificity of these primer pairs was confirmed with conventional and real time pcr methods. standard curves constructed using the threshold cycle...