catflap.org Online Dictionary Query

  complex number
       
           A number of the form x+iy where i is the square
          root of -1, and x and y are real numbers, known as the
          "real" and "imaginary" part.  Complex numbers can be plotted
          as points on a two-dimensional plane, known as an Argand
          diagram, where x and y are the Cartesian coordinates.
       
          An alternative, polar notation, expresses a complex number
          as (r e^it) where e is the base of natural logarithms, and r
          and t are real numbers, known as the magnitude and phase.  The
          two forms are related:
       
          	r e^it = r cos(t) + i r sin(t)
          	       = x + i y
          where
          	x = r cos(t)
          	y = r sin(t)
       
          All solutions of any polynomial equation can be expressed as
          complex numbers.  This is the so-called Fundamental Theorem
          of Algebra, first proved by Cauchy.
       
          Complex numbers are useful in many fields of physics, such as
          electromagnetism because they are a useful way of representing
          a magnitude and phase as a single quantity.
       
          (1995-04-10)
       
       

  Complex \Com"plex\ (k[o^]m"pl[e^]ks), a. [L. complexus, p. p. of
     complecti to entwine around, comprise; com- + plectere to
     twist, akin to plicare to fold. See Plait, n.]
     1. Composed of two or more parts; composite; not simple; as,
        a complex being; a complex idea.
        [1913 Webster]
  
              Ideas thus made up of several simple ones put
              together, I call complex; such as beauty, gratitude,
              a man, an army, the universe.         --Locke.
        [1913 Webster]
  
     2. Involving many parts; complicated; intricate.
        [1913 Webster]
  
              When the actual motions of the heavens are
              calculated in the best possible way, the process is
              difficult and complex.                --Whewell.
        [1913 Webster]
  
     Complex fraction. See Fraction.
  
     Complex number (Math.), in the theory of numbers, an
        expression of the form a + b[root]-1, when a and b are
        ordinary integers.
  
     Syn: See Intricate.
          [1913 Webster]

  Complex \Com"plex\, a. [L. complexus, p. p. of complecti to
     entwine around, comprise; com- + plectere to twist, akin to
     plicare to fold. See Plait, n.]
     1. Composed of two or more parts; composite; not simple; as,
        a complex being; a complex idea.
  
              Ideas thus made up of several simple ones put
              together, I call complex; such as beauty, gratitude,
              a man, an army, the universe.         --Locke.
  
     2. Involving many parts; complicated; intricate.
  
              When the actual motions of the heavens are
              calculated in the best possible way, the process is
              difficult and complex.                --Whewell.
  
     Complex fraction. See Fraction.
  
     Complex number (Math.), in the theory of numbers, an
        expression of the form a + b[root]-1, when a and b are
        ordinary integers.
  
     Syn: See Intricate.

  complex number
       n : a number of the form a+bi where a and b are real numbers and
           i is the square root of -1 [syn: complex quantity, imaginary
           number]

  complex number
     n.
     (lb en complex analysis) A number of the form ''a + bi'', where ''a''
  and ''b'' are real numbers and ''i'' denotes the imaginary unit

  complex number
     n.
     (lb en complex analysis) A number of the form ''a + bi'', where ''a''
  and ''b'' are real numbers and ''i'' denotes the imaginary unit

  complex number
     n.
     (lb en complex analysis) A number of the form ''a + bi'', where ''a''
  and ''b'' are real numbers and ''i'' denotes the imaginary unit

  complex number
     n.
     (lb en complex analysis) A number of the form ''a + bi'', where ''a''
  and ''b'' are real numbers and ''i'' denotes the imaginary unit

  complex number
     Englanti n.
     (yhteys matematiikka k=en) kompleksiluku

  complex number
     Engelska n.
     (tagg matematik språk=en) komplext tal

  complex number /kˈɒmplɛks nˈʌmbə/ 
  ко́мплексно число́
  number of the form a + bi

  complex number /kˈɒmplɛks nˈʌmbə/
  komplexní číslo

  complex number /kˈɒmplɛks nˈʌmbə/
  komplexe Zahl  [math.]

  complex number /kˈɒmplɛks nˈʌmbə/ 
  kompleksiluku
  number of the form a + bi

  complex number /kˈɒmplɛks nˈʌmbə/
  broj s realnim i imaginarnim dijelom, kompleksni broj

  complex number /kˈɒmplɛks nˈʌmbə/ 
  複素数
  number of the form a + bi

  complex number /kˈɒmplɛks nˈʌmbə/ 
  komplekst tall
  number of the form a + bi

  complex number /kˈɒmplɛks nˈʌmbə/ 
  komplext tal
  number of the form a + bi