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Residue vs Trace - What's the difference?

residue | trace |

In mathematics terms the difference between residue and trace

is that residue is a form of complex number, proportional to the contour integral of a meromorphic function along a path enclosing one of its singularities while trace is the sum of the diagonal elements of a square matrix.

As nouns the difference between residue and trace

is that residue is whatever remains after something else has been removed while trace is an act of tracing.

As a verb trace is

to follow the trail of.

residue

English

Noun

(en noun)
  • Whatever remains after something else has been removed.
  • (chemistry) The substance that remains after evaporation, distillation, filtration or any similar process.
  • (legal) Whatever property or effects are left in an estate after payment of all debts, other charges and deduction of what is specifically bequeathed by the testator.
  • (mathematics) A form of complex number, proportional to the contour integral of a meromorphic function along a path enclosing one of its singularities.

    • Derived terms

    * nonresidue * quadratic residue * residual * residuary

    Related terms

    * residuum

    Anagrams

    * ----

    trace

    English

    (wikipedia trace)

    Etymology 1

    From (etyl) trace, traas, from (etyl) , from the verb (see below).

    Noun

    (en noun)
  • An act of tracing.
  • A mark left as a sign of passage of a person or animal.
  • A very small amount.
  • * {{quote-book, year=1963, author=(Margery Allingham), title=(The China Governess)
    • , chapter=7 citation , passage=The highway to the East Coast which ran through the borough of Ebbfield had always been a main road and even now, despite the vast garages, the pylons and the gaily painted factory glasshouses which had sprung up beside it, there still remained an occasional trace of past cultures.}}
  • (electronics) An electric current-carrying conductive pathway on a printed circuit board.
  • An informal road or prominent path in an arid area.
  • One of two straps, chains, or ropes of a harness, extending from the collar or breastplate to a whippletree attached to a vehicle or thing to be drawn; a tug.
  • (fortification) The ground plan of a work or works.
  • The intersection of a plane of projection, or an original plane, with a coordinate plane.
  • (mathematics) The sum of the diagonal elements of a square matrix.
    • Derived terms
    * downtrace, uptrace
    Synonyms
    * (mark left as a sign of passage of a person or animal) track, trail * (small amount) see also .

    Etymology 2

    From (etyl) tracen, from (etyl) tracer, .

    Verb

  • To follow the trail of.
  • * Milton
    • I feel thy power to trace the ways / Of highest agents.
    (Cowper)
  • To follow the history of.
  • * T. Burnet
    • You may trace the deluge quite round the globe.
  • * {{quote-news
    • , year=2011 , date=July 19 , author=Ella Davies , title=Sticks insects survive one million years without sex , work=BBC citation , page= , passage=They traced the ancient lineages of two species to reveal the insects' lengthy history of asexual reproduction.}}
  • To draw or sketch lightly or with care.
    • He carefully traced the outlines of the old building before him.
  • To copy onto a sheet of paper superimposed over the original, by drawing over its lines.
  • (obsolete) To copy; to imitate.
  • * Denham
    • That servile path thou nobly dost decline, / Of tracing word, and line by line.
  • (obsolete) To walk; to go; to travel.
  • * Spenser
    • Not wont on foot with heavy arms to trace .
  • (obsolete) To walk over; to pass through; to traverse.
  • * Shakespeare
    • We do trace this alley up and down.
    Related terms
    * tracing

    Anagrams

    * * * * * ----