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In essence, the Bruck–Ryser–Chowla theorem is a statement of the necessary conditions for the existence of a rational v × v matrix R satisfying this equation. In fact, the conditions stated in the Bruck–Ryser–Chowla theorem are not merely necessary, but also sufficient for the existence of such a rational matrix R.
A theorem of Ryser provides the converse. If X is a v -element set, and B is a v -element set of k -element subsets (the "blocks"), such that any two distinct blocks have exactly λ points in common, then ( X, B ) is a symmetric block design.
Augmented Dickey–Fuller test; Aumann's agreement theorem; Autocorrelation. ... Bruck–Ryser–Chowla theorem; Burke's theorem; Burr distribution; Business statistics;
He is best known for his 1949 paper coauthored with H. J. Ryser, the results of which became known as the Bruck–Ryser theorem (now known in a generalized form as the Bruck-Ryser-Chowla theorem), concerning the possible orders of finite projective planes. In 1946, he was awarded a Guggenheim Fellowship.
Since every difference set gives an SBIBD, the parameter set must satisfy the Bruck–Ryser–Chowla theorem, but not every SBIBD gives a difference set. An Hadamard matrix of order m is an m × m matrix H whose entries are ±1 such that HH ⊤ = mI m, where H ⊤ is the transpose of H and I m is the m × m identity matrix.
In the first example provided above, the sex of the patient would be a nuisance variable. For example, consider if the drug was a diet pill and the researchers wanted to test the effect of the diet pills on weight loss. The explanatory variable is the diet pill and the response variable is the amount of weight loss.
Baranyai's theorem; Bertrand's ballot theorem; Bondy's theorem; Bruck–Ryser–Chowla theorem; C. Corners theorem; D. Dilworth's theorem; E. Erdős–Fuchs theorem ...
Herbert John Ryser (July 28, 1923 – July 12, 1985) was a professor of mathematics, widely regarded as one of the major figures in combinatorics in the 20th century. [ 1 ] [ 2 ] He is the namesake of the Bruck–Ryser–Chowla theorem , Ryser's formula for the computation of the permanent of a matrix , and Ryser's conjecture .