The partial functions under disjoint-domain sums and functional composition do not form a field, and thus conventional linear algebra is not applicable. However they can be regarded as a so-ring, an algebraic structure possessing a natural partial ordering, an infinitary partial addition and a binary multiplication, subject to a set of axioms. In this paper, we introduce the notions of 2-absorb...

Let be a commutative semiring. A semimodule over semiring is fully prime if each proper subsemimodule of prime. This research aims to investigate the relationship between direct sum subsemimodules and , semimodule.

Pre-steady state partitioning analysis of the HhaI DNA methyltransferase directly demonstrates the catalytic competence of the enzyme.DNA complex and the lack of catalytic competence of the enzyme.S-adenosyl-L-methionine (AdoMet) complex. The enzyme.AdoMet complex does form, albeit with a 50-fold decrease in affinity compared with the ternary enzyme.AdoMet.DNA complex. These findings reconcile ...

The problem is to find the largest observation (or the q largest observations) in a random sample of size n by asking binary-type questions of people (or items) in the sample. At each stage of the search, a threshold is calculated and a binary-type question is posed to each member of the sample. This question is of the form “Is your Observation greater than the threshold?” The threshold is dete...

in a ternary semihyperring, addition is a hyperoperation and multiplicationis a ternary operation. indeed, the notion of ternary semihyperringsis a generalization of semirings. our main purpose of this paper is to introducethe notions of fuzzy hyperideal and fuzzy bi-hyperideal in ternary semihyperrings.we give some characterizations of fuzzy hyperideals and investigateseveral kinds of them.

Ternary Content-Addressable Memories (TCAMs) provide a fast mechanism for IP lookups and a simple management for route updates. The high power consumption problem can be resolved by providing a TCAM partitioning technique that selectively addresses smaller portions of a TCAM. This paper proposes a 2-level TCAM architecture using prefix comparison rule to partition the routing table into a numbe...

Ternary content addressable memory, TCAM is a semiconductor memory device, operates for determining a match between received search data and stored data in TCAM bitcells. TCAM performs high speed lookup operations, but when compared to RAM technology the conventional TCAM circuitry suffers from certain limitations such as low access time, low storage capacity, circuit complexity and much high c...

Real-time shadows remain a challenging problem in computer graphics. In this context, shadow algorithms generally rely either on shadow mapping or shadow volumes. This paper rediscovers an old class of algorithms that build a binary space partition over the shadow volumes. For almost 20 years, such methods have received little attention as they have been considered lacking of both robustness an...

Isomangiferin was isolated from Cyclopia subternata using a multi-step process including extraction, liquid-liquid partitioning, high-speed counter-current chromatography (HSCCC) and semi-preparative reversed-phase high-performance liquid chromatography (HPLC). Enrichment of phenolic compounds in a methanol extract of C. subternata leaves was conducted using liquid-liquid partitioning with ethy...

Good and Hughes [9] introduced the notion of bi-ideal and Steinfeld [11, 12] introduced the notion of quasi-ideal. Sioson [10] studied some properties of quasi-ideals of ternary semigroups. In [1], Dixit and Dewan studied about the quasi-ideals and bi-ideals of ternary semigroups. Quasi-ideals are generalization of right ideals, lateral ideals, and left ideals whereas bi-ideals are generalizati...