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Pushout vs Null - What's the difference?

pushout | null |

As nouns the difference between pushout and null

is that pushout is (category theory) given a pair of morphisms f:z\rightarrow x and g: z\rightarrow y with a common domain, z'', their pushout is a pair of morphisms i_1:x\rightarrow p and i_2:y\rightarrow p as well as their common codomain, ''p'', such that the equation i_1 \circ f = i_2 \circ g is satisfied, and for which there is the ''universal property'' that for any other object ''q for which there are also morphisms j_1: x\rightarrow q and j_2: y\rightarrow q; there is a unique morphism u: p\rightarrow q such that u \circ i_1 = j_1 and u \circ i_2 = j_2 while null is zero, nil; the cardinal number before einn.

pushout

English

Noun

(en noun)
  • (category theory) Given a pair of morphisms f:Z\rightarrow X and g: Z\rightarrow Y with a common domain, Z'', their pushout is a pair of morphisms i_1:X\rightarrow P and i_2:Y\rightarrow P as well as their common codomain, ''P'', such that the equation i_1 \circ f = i_2 \circ g is satisfied, and for which there is the ''universal property'' that for any other object ''Q for which there are also morphisms j_1: X\rightarrow Q and j_2: Y\rightarrow Q; there is a unique morphism u: P\rightarrow Q such that u \circ i_1 = j_1 and u \circ i_2 = j_2.

    • Antonyms

    * pullback

    null

    English

    Noun

    (en noun)
  • A non-existent or empty value or set of values.
  • Zero]] quantity of [[expression, expressions; nothing.
    • (Francis Bacon)
  • Something that has no force or meaning.
  • (computing) the ASCII or Unicode character (), represented by a zero value, that indicates no character and is sometimes used as a string terminator.
  • (computing) the attribute of an entity that has no valid value.
    • Since no date of birth was entered for the patient, his age is null .
  • One of the beads in nulled work.
  • (statistics) null hypothesis

    • Adjective

    (en adjective)
  • Having no validity, "null and void"
  • insignificant
  • * 1924 , Marcel Proust, Within a Budding Grove :
    • In proportion as we descend the social scale our snobbishness fastens on to mere nothings which are perhaps no more null than the distinctions observed by the aristocracy, but, being more obscure, more peculiar to the individual, take us more by surprise.
  • absent or non-existent
  • (mathematics) of the null set
  • (mathematics) of or comprising a value of precisely zero
  • (genetics, of a mutation) causing a complete loss of gene function, amorphic.

    • Derived terms

    * nullity

    Verb

    (en verb)
  • to nullify; to annul
    • (Milton)

    Related terms

    * annul

    See also

    * nil ----