orthogonal group
Word Rarity
Rare
Frequency: Zipf frequency 2.98 in modern English
22
Scrabble Score
15
Letters
5
Syllables
10
Unique Chars
Meaning
noun
For given n and field F (especially where F is the real numbers), the group of n × n orthogonal matrices with elements in F, where the group operation is matrix multiplication.
Example Sentences
- "The symbol O^ε(n,q) for orthogonal groups has been well established in finite group theory as and, throughout the mathematics community, O(n, K) stands for an orthogonal group when K is the real or complex field."
- "Theorem 7.4. Let n ≥ 1. For odd primes p#92;not#92;equiv#92;pm 1#92;pmod#123;24#125; the odd-dimensional orthogonal groups O#95;#123;2n#43;1#125;(p) possess GA-realizations over #92;mathbb#123;Q#125;."
- "The normalizer of the full orthogonal group within the general linear group can be shown to consist of all (commutative) products of spherical dilatations and orthogonal transformations."