Word Pronunciation & Dictionary

semiorthogonal

Word Rarity Very rare

Frequency: Zipf frequency 0.00 in modern English

Syllables: semiorthog-o-nal
IPA

20

Scrabble Score

14

Letters

3

Syllables

12

Unique Chars

Meaning

adj

Having the property that every subcategory is in the set of orthogonal subcategories of every higher order subcategory.

adj

Either columnwise orthogonal (having the property that M'M is an identity matrix) or rowwise orthogonal (having the property that MM' is an identity matrix).

adj

Orthogonal to the corresponding approximation space.

Example Sentences

"For del Pezzo surfaces of degree at least 5, we construct explicit semiorthogonal decompositions by subcategories of modules over semisimple algebras arising as endomorphism algebras of vector bundles and we show how to retrieve information about the index of the surface from Brauer classes and Chern classes associated to these vector bundles.."

Etymology

From semi- + orthogonal.

Word Breakdown

Prefix: semi

Questions

What does semiorthogonal mean?: Having the property that every subcategory is in the set of orthogonal subcategories of every higher order subcategory.
Where does semiorthogonal come from?: From semi- + orthogonal.

How to pronounce semiorthogonal

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