1) General: (n. & adj.) A whole comprised of many elements.
→ complex wave.
2) (adj.) Complicated and hard to solve.
3) Math: Pertaining to or using → complex numbers.

From Fr. complexe, from L. complexus "surrounding, encompassing,"
p.p. of complecti "to embrace, encompass, include," from → com-
"together" + plectere "to weave, twine."

Hamtâft, from ham- "together," → com- + tâft
past stem of tâftan, tâbidan
"to twist, to spin, to bend, to crook," p.p.
tâftah "spun, silk or linen cloth," loaned into E. taffeta
(from O.Fr. taffetas, from It. taffeta); similarly Gk. tapetion
"little carpet" is probably from this Iranian origin
(from which tapestry, tapis); Proto-Ir. *tap-
"to spin," related to tan-, tanidan "to spin; to stretch,"
→ tension.

complex conjugate

همیوغ ِ همتافت

hamyuq-e hamtâft (#)

Fr.: conjugé

A → complex number in which the → real
part of the number remains the same, but i is replaced by -i. For example,
the complex conjugate of x + iy is x - iy. Same as
→ conjugate complex number.

The complex notation for the → Fourier series of a function
f(x). Using → Euler's formulae, the function can be
written in cimplex form as
f(x) = Σ c_{n} e^{inx} (summed from -∞ to ∞),
where the → Fourier coefficients are
c_{n} = (1/2π)∫ f(x) e^{-inx} dx (integral from -π to
+π).

The conjugate of a → complex number, expressed by
ū = a - bi. The complex number and its conjugate have the same real part.
Same as → complex conjugate.

Any of the largest stellar assemblages consisting of the groupings of
→ star clusters, → stellar associations,
and individual stars with sizes of 300-1000 → parsecs
and ages of up to 100 millions years. Most stellar complexes
are physical entities containing objects of common origin and are the
birth places of most star clusters and associations. The brightest and
youngest complexes are well-known stellar superstructures that outline the
Galactic → spiral arms, and also include
→ H II regions,
→ giant molecular clouds,
and → neutral hydrogen clouds (Efremov, Y. N., 1996,
The Origins, Evolutions, and Densities of Binary Stars in Clusters,
ASP Conf. Series, Vol. 90).