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Differential vs Divergence - What's the difference?

differential | divergence |

In mathematics|lang=en terms the difference between differential and divergence

is that differential is (mathematics) an infinitesimal change in a variable, or the result of differentiation while divergence is (mathematics) the operator which maps a function f''=(''f''1, ''f''''n'') from a ''n -dimensional vector space to itself to the number \sum_{i=1}^n \frac{\partial f_i}{\partial x_i}.

As nouns the difference between differential and divergence

is that differential is the differential gear in an automobile etc while divergence is the degree to which two or more things diverge.

As an adjective differential

is of, or relating to a difference.

differential

English

Adjective

(en adjective)
  • of, or relating to a difference
    • differential characteristics
  • * Motley
    • For whom he produced differential favours.
  • dependent on, or making a difference; distinctive
  • having differences in speed or direction of motion
  • (mathematics) of, or relating to differentiation, or the differential calculus

    • Noun

    (en noun)
  • the differential gear in an automobile etc
  • a qualitative or quantitative difference between similar or comparable things
  • (mathematics) an infinitesimal change in a variable, or the result of differentiation
  • One of two coils of conducting wire so related to one another or to a magnet or armature common to both, that one coil produces polar action contrary to that of the other.
  • A form of conductor used for dividing and distributing the current to a series of electric lamps so as to maintain equal action in all.
    • (Knight)

    Derived terms

    * differential amplifier * differential analyzer * differential coefficient * differential gear * differential equation * partial differential equation

    Related terms

    * differ * different * difference * differentiate * differentiation ----

    divergence

    English

    Noun

    (en noun)
  • The degree to which two or more things diverge.
    • an angle is made by the divergence of straight lines
  • (mathematics) the operator which maps a function F''=(''F''1, ... ''F''''n'') from a ''n -dimensional vector space to itself to the number \sum_{i=1}^n \frac{\partial F_i}{\partial x_i}
  • (obsolete) disagreement; difference
  • * Sir G. C. Lewis
    • Related with some divergence by other writers.

    Synonyms

    * (mathematical operator) ** div **

    Antonyms

    * convergence

    Related terms

    * diverge * divergent

    References

    * OED2 ----