And in what would amount to a radical shift in the makeup of the century-old taxi industry, the city also wants to create a parallel class of cabs only allowed to make pickups outside Manhattan.
Shrikhande and Raghavarao (1963) published a recursive construction for designs that starts with a resolvable design (the "master design") and then uses a second design ("the indexing design") to take certain unions of blocks in each parallel class of the master design.
It is proved that the collection of blocks of an affine 1-design that yields a linear orthogonal array is a union of parallel classes of hyperplanes in a finite affine space.
Each of its parallel class contains one block of size δ, while other blocks have size 3.
A resolvable pairwise balanced design with each parallel class consisting of blocks which are all of the same size is called a uniformly resolvable design, a URD.
We also require that each parallel class of the subdesign should be in a single parallel class of the containing design.
A (k,λ -HCF n,λ -HCF n pair (C,mu where C is a k-cycle decompairtion of the λ-fold of the C,Rley graph Γ(G,S) whereG="Zu×Zm×Zn and (x,y,z)∈S if and only if x≠0≠z, and R is a partition of C isto holey parallel classes each of which consists of mn(u−1)k cycles whose vertices cover all G except one suitable coset of {0}×Zm×Zn.
Some group divisible design (GDDs) with orthogonal resolutions, one is a set of parallel classes and the other is a set of partial parallel classes are constructed from Baer subplanes.
For each of 12 pairs of parallel classes with students (age range 13 20) from five schools (N = 408), one class was randomly assigned to the mindfulness condition and one class to the control condition.
In this paper, we study the existence problem of a KHCD gu) which has minimum possible number of parallel classes, and give a solution for most values of even g and u.
A Kirkman packing design KPD {3,4∗∗},v), is a resolvable packing of a v-set by the maximum possible number of parallel classes, each containing two blocks of size 4 and all other blocks of size three.
