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Multiplicity vs Singularity - What's the difference?

multiplicity | singularity |

In mathematics|lang=en terms the difference between multiplicity and singularity

is that multiplicity is (mathematics) the number of values for which a given condition holds while singularity is (mathematics) the value or range of values of a function for which a derivative does not exist.

As nouns the difference between multiplicity and singularity

is that multiplicity is the state of being made of multiple diverse elements while singularity is the state of being singular, distinct, peculiar, uncommon or unusual.

multiplicity

English

Noun

(wikipedia multiplicity) (multiplicities)
  • the state of being made of multiple diverse elements
  • (mathematics) the number of values for which a given condition holds
  • a large indeterminate number
  • (software engineering, UML) The number of instances that can occur on a given end of a relationship, including 0..1, 1, 0..* or *, and 1..*.

    • See also

    * cardinality * manyness

    singularity

    English

    Noun

  • the state of being singular, distinct, peculiar, uncommon or unusual
  • * Addison
    • I took notice of this little figure for the singularity of the instrument.
  • * Sir Walter Raleigh
    • Pliny addeth this singularity to that soil, that the second year the very falling down of the seeds yieldeth corn.
  • a point where all parallel lines meet
  • a point where a measured variable reaches unmeasurable or infinite value
  • (mathematics) the value or range of values of a function for which a derivative does not exist
  • (physics) a point or region in spacetime in which gravitational forces cause matter to have an infinite density; associated with black holes
  • A proposed point in the technological future at which artificial intelligences become capable of augmenting and improving themselves, leading to an explosive growth in intelligence.
  • (obsolete) Anything singular, rare, or curious.
  • * Shakespeare
    • Your gallery Have we passed through, not without much content / In many singularities .
  • (obsolete) Possession of a particular or exclusive privilege, prerogative, or distinction.
  • * Hooker
    • No bishop of Rome ever took upon him this name of singularity [universal bishop].
  • * Bishop Pearson
    • Catholicism must be understood in opposition to the legal singularity of the Jewish nation.
  • (obsolete) celibacy
    • (Jeremy Taylor)

    Derived terms

    * nonsingularity * naked singularity

    Related terms

    * single * singular

    External links

    * * *