| slovo | definícia |
complex number
(encz) | complex number,komplexní číslo Zdeněk Brož |
Complex number
(gcide) | 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 number
(wn) | complex number
n 1: (mathematics) a number of the form a+bi where a and b are
real numbers and i is the square root of -1 [syn: {complex
number}, complex quantity, imaginary number,
imaginary] |
complex number
(foldoc) | 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)
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| | podobné slovo | definícia |
complex number
(encz) | complex number,komplexní číslo Zdeněk Brož |
imaginary part of a complex number
(encz) | imaginary part of a complex number, n: |
complex number
(wn) | complex number
n 1: (mathematics) a number of the form a+bi where a and b are
real numbers and i is the square root of -1 [syn: {complex
number}, complex quantity, imaginary number,
imaginary] |
imaginary part of a complex number
(wn) | imaginary part of a complex number
n 1: the part of a complex number that has the square root of -1
as a factor [syn: imaginary part, {imaginary part of a
complex number}] |
complex number
(foldoc) | 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)
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