We present the basic theory of cocyclic development of designs, in which group development over a finite group G is modified by the action of a cocycle defined on G x G. Negacyclic and w-cyclic development are both special cases of cocyclic development. Techniques of design construction using the group ring, arising from difference set methods, also apply to cocyclic designs. Important classes ...

We algorithms and constructions for mathematical and computer searches which allow us to establish the existence of W( 4n, 4n 2) and 2n 1) for many orders 4n less than 4000. We compare these results with the orders for which W(4n,4n) and W(4n,2n) are known. We use new based on the theory of to obtain new T-matrices of order 43 and J M-matrices which yield W( 4n, 4n 2) for 5,7, 11,13,17,19,25,31...

In fabricating flowmeters, the meter's calibration is its final and accuracy determining step that comprises a great time consumption relative to its completion from its single component parts. Thus calibration (unless the respective time of calibration for a flow meter is not minimized) may represent a relevant contribution to fabrication costs. High-accuracy liquid flow calibration facilities...

in this paper, the concept of k-regular fuzzy matrix as a general- ization of regular matrix is introduced and some basic properties of a k-regular fuzzy matrix are derived. this leads to the characterization of a matrix for which the regularity index and the index are identical. further the relation between regular, k-regular and regularity of powers of fuzzy matrices are dis- cussed.

We derive Berry-Esseen approximation bounds for general functionals of independent random variables, based on a continuous-time integration by parts setting and discrete chaos expansions methods. Our approach improves related results obtained in discrete-time settings applies to U-statistics satisfying the weak assumption decomposability Hoeffding sense, yield Kolmogorov distance instead Wasser...