chain complex

(redirected from Double complex)

chain complex

[′chān ‚käm‚pleks]
(mathematics)
A sequence {Cn }, -∞ <>n < ∞,="" of="" abelian="" groups="" together="" with="" a="" sequence="" of="" boundary="" homomorphisms="">dn : CnCn-1such that dn-1° dn = 0 for each n.
References in periodicals archive ?
Likewise, El-Gabaly noted further that the Double Complex for Olefins project will be set up for the production of ethylene, monoethylene glycol, and polyethene terephthalate PET, with a total annual production capacity of 600,000 tonnes.
For balanced single circuit lines exact analytical formulas can be obtained by representing elliptically polarized fields by double complex numbers [11] or complex vectors [12] whereas approximated formulas can be estimated by a multipole expansion of Biot-Savart's law [13].
A closed form solution for three phase lines with polygonal phase conductor arrangement has been derived in [11] by using double complex numbers with two imaginary units.
In this paper we answer the question asked for double complex sequences mentioned in our abstract.
We obtain a summability method that maps the double complex sequence w into the double complex sequence Aw where the mnth term of Aw is as follows:
The four dimensional real matrix A is said to be bounded regular if every bounded P-convergent double complex sequence w with Pringsheim limit t, is also A-summable to t and the A-means of w are bounded.
C WORK : DOUBLE COMPLEX ARRAY OF DIMENSION(2, 0:2*NMAX) .
DOUBLE COMPLEX WORK(2, 0:2*NMAX) DOUBLE PRECISION DIFABS(50),DIFREL(50), + FZINV(50) ,TARRAY(50), + ERROR(3,50) ,ERR(3) INTEGER IFAIL(50),IFZEVAL(50) C ..
He covers dynamics, dimensional groups, the complexes of an s/u-bijective factor map, the double complexes of an s/u-bijective pair, a Lefschetz formula, examples, and questions.