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Bruck-Ryser-Chowla theorem

Bruck-Ryser-Chowla theorem proper noun: a result on the combinatorics of block designs, stating that, if a (v, b, r, k, λ)-design exists with v = b (a symmetric block design), then: (i) if v is even, then k − λ is a square; (ii) if v is odd, then the following Diophantine equation has a nontrivial solution: x² − (k − λ)y² − (−1)^((v−1)/2) λ z² = 0.

Proper noun

Bruck-Ryser-Chowla theorem

  1. A result on the combinatorics of block designs, stating that, if a (v, b, r, k, λ)-design exists with v = b (a symmetric block design), then: (i) if v is even, then k − λ is a square; (ii) if v is odd, then the following Diophantine equation has a nontrivial solution: x² − (k − λ)y² − (−1)^((v−1)/2) λ z² = 0.

Origin of Bruck-Ryser-Chowla theorem

Named after Richard Bruck, H. J. Ryser, and Sarvadaman Chowla.

Questions about Bruck-Ryser-Chowla theorem

What does Bruck-Ryser-Chowla theorem mean?
Bruck-Ryser-Chowla theorem means a result on the combinatorics of block designs, stating that, if a (v, b, r, k, λ)-design exists with v = b (a symmetric block design), then: (i) if v is even, then k − λ is a square; (ii) if v is odd, then the following Diophantine equation has a nontrivial solution: x² − (k − λ)y² − (−1)^((v−1)/2) λ z² = 0.
What part of speech is Bruck-Ryser-Chowla theorem?
Bruck-Ryser-Chowla theorem is a proper noun.

Words near Bruck-Ryser-Chowla theorem in the dictionary

  1. bruck back
  2. bruck backs
  3. Bruck syndrome
  4. bruck-back
  5. bruck-backs
  6. Bruck-Ryser-Chowla theorem
  7. bruckback
  8. bruckbacks
  9. brucked
  10. Brucker
  11. Bruckers

Source and license

Adapted from Wiktionary: Bruck-Ryser-Chowla theorem (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

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