In this paper, we further investigate the constructions on three-dimensional(u × v × w, k, 1) optical orthogonal codes with the at most one optical pulse per wave-length/time plane restriction (briefly AM-OPP 3-D (u × v × w, k, 1)-OOCs) by way ofthe corresponding designs. Several new auxiliary designs such as incomplete holey groupdivisible designs and incomplete group divisible...

We have ∀X.A′ ≺ ∀X.B, so A′ ≺ B. Also, we have Σ ` V X : A′, so the RHS has type B = A. • Case (V : A′ p =⇒ ∀X.B) X 7−→ V : A′ p =⇒ B : We have A′ ≺ ∀X.B, so A′ ≺ B. Thus, the RHS has type B = A. • Case V : ∀X.A′ p =⇒ B 7−→ (V ?) : A′[X:=?] p =⇒ B : We have ∀X.A′ ≺ B, so A′[X:=?] ≺ B by Lemma 1. Thus, the RHS has type B. Definition 3. Well-typed contexts, written Σ B E : B ⇒ A, are defined in t...

Molecular approaches were used to re-evaluate the morphological criteria used to identify plant-associated Verticillium species. ITS-RFLPs divided the 31 studied strains of seven Verticillium species, (including the type species V. luteo-album) into four clusters. Cluster one comprised strains of the type species, V. luteo-album, cluster two V. albo-atrum, V. dahliae, V. nubilum and V. tricorpu...

optimizing the herbicide dose by the addition of adjuvants is an acceptable way to increase performance and to reduce the risk of side effects from herbicides. therefore, to detect a suitable adjuvant for clodinafop-propargyl against little seed canary grass (phalaris minor retz.). greenhouse experiment were conducted as factorial in completely randomized design with four replications for compa...

Introduction The aim of this note is to provide a Steiner triple system STS( v ) which admits a partition into v STS( v) for every v 1 or 3 (mod 6). The STS( v ) obtained in this way will also contain ~v( v 1) subsystems of order 3v. An analogous construction is provided of an S(2, 4, v ) with a partition into v S(2, 4, v)'s in the case v 1 (mod 12). The Steiner system constructed here will als...

Joyal and Street note in their paper on braided monoidal categories [9] that the 2–category V –Cat of categories enriched over a braided monoidal category V is not itself braided in any way that is based upon the braiding of V . The exception that they mention is the case in which V is symmetric, which leads to V –Cat being symmetric as well. The symmetry in V –Cat is based upon the symmetry of...