Sentence examples for of mutually orthogonal from inspiring English sources

Hence, the construction of mutually orthogonal Latin squares is an important combinatorial problem.

An unsolved question is whether there can exist a complete set of mutually orthogonal Latin squares of order k if k is not a prime power.

Two orthogonal Latin squares of order 4 are exhibited in Figure 2. A set of mutually orthogonal Latin squares is a set of Latin squares any two of which are orthogonal.

We construct families of mutually orthogonal gerechte designs of order qr+s with rectangular regions of size qr×qs.

It is shown that "the isogausses" and the coronal isophotes create two systems of mutually orthogonal curves.

(1) At most, a size of mutually orthogonal FH pattern can be obtained for the independent hopping scheme.

The two boundary cases are well known designs: an Hd(2n+1,2n+2) is a Room d-cube of side 2n+1 and the existence of d mutually orthogonal latin squares of order n+1 implies the existence of an Hd(n+1,2n+2).

The bounds obtained give equivalent bounds for the numbers of distinct and nonisomorphic sets of g−2 mutually orthogonal Latin squares of order n in the corresponding cases.

For n⩾4, k≠4, optimal examples of (n×n)/k semi-Latin squares with k⩾n have been identified only in the case where k is a multiple of n−1 such that there exists a set of k mutually orthogonal Latin squares of order n.

During spot measurements, the sensor assembly was orientated for 1-min periods in each of three mutually orthogonal axes by means of locating pins.

During experiments, animals were seated within a primate chair modified to allow free motion of the head near the center of three mutually orthogonal magnetic fields (Crawford et al. 1999).