Triple arrays are a class of designs introduced by Agrawal in 1966 for two-way elimination of heterogeneity in experiments. In this paper we investigate their existence and their connection to other classes of designs, including balanced incomplete block designs and balanced grids.

The purpose of this note is to make a comment bearing upon the remarkable results of Radó on the semi-continuity of double integrals in parametric form. The essence of the situation, without at first attempting precision, is this. A continuous surface is of class K\ if and only if it has a representation for which the classical double integral area formula has meaning. (It is understood that th...

Corresponding to each ”rectangular” double product [5] in the form of a formal power series R[h] with coefficients in the tensor product T (L) ⊗ T (L) with itself of the Itô Hopf algebra, we construct ”triangular” elements T [h] of T (L) satisfying ∆T [h] = T [h](1)R[h]T{h](2). In Fock space representations of T (L) by iterated quantum stochastic integrals when L is the algebra of Itô different...

The leading power asymptotic behaviour of the dimensionally regularized massless on-shell planar triple box diagram in the Regge limit t/s → 0 is analytically evaluated. E-mail: [email protected] Systematical analytical evaluation of two-loop Feynman diagrams with four external lines within dimensional regularization [1] began three years ago. In the pure massless case with all end-poi...

AIM The objective of this study was to compare the zone of simple, double and triple images in a dry infant cranium against an adult completely formed one when panoramic X-ray photography's were taken. STUDY DESIGN We took 96 panoramic X-ray photography's to a dry infant cranium placing a metallic spherical object of 8mm in different anatomical points for later to observe, identify and analys...

Using a panel of monoclonal antibodies against human myoglobin (Mb), we have shown that the sensitivity of antigen-capture ELISA can be significantly increased by simultaneous immobilization of two cooperating capture monoclonal antibodies on a solid phase. This method ("triple-site ELISA") uses three monoclonal antibodies to different epitopes of the same antigen (two capture/one tracer) unlik...

the field of comparative analysis on persian and arabic grammars and in contrast to number and counted nouns discourses in both languages it is revealed that there is a numerical composition in either double-bases (simple) or triple- bases (it has counting conjunction or counting unit in persian and quantifier in arabic). this categorization may itself open some other new classes and lead to pu...

Vector replacement rules allow formulation of the flowsnake planefilling curve as a bijection Z⟷Z2 and as a surjection ⟶2. The -function visits double and triple points predicted by Netto’s theorem. Triple points belong to a relatively simple set, while double points resist easy classification. This paper formulates and analyzes the -function. Methods applied to the flowsnake also apply to ...

Minkowski type inequalities for the seminormed fuzzy integrals on abstract spaces are studied in a rather general form. Also related inequalities to Minkowski type inequality for the seminormed fuzzy integrals on abstract spaces are studied. Several examples are given to illustrate the validity of theorems. Some results on Chebyshev and Minkowski type inequalities are obtained.