Word Pronunciation & Dictionary

grassmann algebra

Word Rarity Very rare

Frequency: Zipf frequency 1.55 in modern English

Syllables: grass-man-n al-ge-bra
IPA

22

Scrabble Score

16

Letters

5

Syllables

9

Unique Chars

Meaning

noun

A direct sum with an exterior product of multivector spaces which are all based on a same underlying finite-dimensional vector space. The associative algebra of sums and exterior products of scalars, vectors, blades, multivectors, and hybrid (i.e., non-homogeneous) sums of multivectors of different grades.

Example Sentences

"If a Grassmann algebra’s first grade consists of vectors of dimension n, then the algebra has n grades and 2ⁿ dimensions."

Etymology

Named after Hermann Grassmann (1809–1877), a German polymath.

Inflected Forms

Grassmann algebras (plural)

Synonyms

exterior algebra

Questions

What does grassmann algebra mean?: A direct sum with an exterior product of multivector spaces which are all based on a same underlying finite-dimensional vector space. The associative algebra of sums and exterior products of scalars, vectors, blades, multivectors, and hybrid (i.e., non-homogeneous) sums of multivectors of different grades.
Where does grassmann algebra come from?: Named after Hermann Grassmann (1809–1877), a German polymath.

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