A. Weil proved that the geometric Frobenius π = Fa of an abelian variety over a finite field with q = pa elements has absolute value √ q for every embedding. T. Honda and J. Tate showed that A 7→ πA gives a bijection between the set of isogeny classes of simple abelian varieties over Fq and the set of conjugacy classes of q-Weil numbers. Higher-dimensional varieties over finite fields, Summer s...

in this study granulocyte-macrophage colony stimulating factor (csf) was prepared from rabbit and guinea pig lung tissues. the biological activity of these csfs was measured on semisolid agar culture and compared with those of mouse and rat. weight of animals, incubation time and cross-reactivity of csfs with different bone marrow sources were also investigated. the results showed that both rab...

Porcine production in China represents approximately the 50% of the worldwide pig production. Information about pig husbandry characteristics in China and manure properties from sows to fatteners in intensive pig farms are not broadly available for scientific studies as it is a time consuming, expensive task and highly inaccessible. This study provides a report about solid pig manures (28% dry ...

PIG (Pin-Injection-Gate) die-casting and hot stamping was developed for fabrication of small-sized thin-walled aluminum alloy parts from the recycled feedstock. The pure granules were utilized as a feedstock model materials. measured mass with estimated weight 3D-CAD (Computer Aided Design) products poured into PIG-nozzles before injection. After quickly melting by induction heating inside PIG-...

We present a dynamic algorithm for the recognition of proper circular-arc (PCA) graphs, that supports insertion and removal vertices (together with its incident edges). The main feature is it outputs minimally non-PCA induced subgraph when vertex fails. Each operation cost O(log⁡n+d) time, where n number d degree modified vertex. When removals are disallowed, each processed in O(d) time. also p...

A multidisciplinary , collaborative project of