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Modulo vs Nilmanifold - What's the difference?

modulo | nilmanifold |

As a verb modulo

is .

As a noun nilmanifold is

(mathematics) a quotient space of a nilpotent lie group modulo a closed subgroup, or (equivalently) a homogeneous space with a nilpotent lie group acting transitively on it.

modulo

English

(wikipedia modulo)

Preposition

(English prepositions)
  • (mathematics) Given a specified modulus of.
  • 21 and 84 are congruent to each other modulo 9, since both numbers leave the same remainder, 3, when divided by 9.
    Thus 21 modulo 9 is 3, because when 21 is divided by 9, the remainder is 3.
  • (jargon, or, colloquial) Except for differences accounted for by.
  • "A is the same as B modulo C" means A is the same as B except for differences accounted for by C.
  • * 1990 , Margaret Speas, Phrase Structure in Natural Language , p. 281:
  • Thus, the underlying structure which I would assign to Navajo will be identical, modulo word order, to the one that we found to be projected in all of the languages studied in chapter 3.
  • * 2002 , Richard Arneson, " Egalitarianism", in The Stanford Encyclopedia of Philosophy :
  • Moreover, in the role of consumer, each individual (modulo his location) faces the same array of goods and services on sale to anyone who can pay the purchase price[.]
  • (en) (extended use) With due allowance for (a specified exception or particular detail).
  • The "tail recursion modulo cons" technique allows functions that would be tail recursive but for a cons call to be transformed into a tail recursive form.
    All mammals, modulo the monotremes, give birth to live young.

    Synonyms

    * (except for differences accounted for by)

    Noun

    (modulo operation) (-)
  • (computing) the operation or function that returns the remainder of one number divided by another
  • See also

    * congruent * remainder ----

    nilmanifold

    English

    Noun

    (en noun) (wikipedia nilmanifold)
  • (mathematics) A quotient space of a nilpotent Lie group modulo a closed subgroup, or (equivalently) a homogeneous space with a nilpotent Lie group acting transitively on it.