# Complex

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## complex

1. Maths of or involving one or more complex numbers
2. Psychoanal a group of emotional ideas or impulses that have been banished from the conscious mind but that continue to influence a person's behaviour
3. Informal an obsession or excessive fear
4. a chemical compound in which molecules, groups, or ions are attached to a central metal atom, esp a transition metal atom, by coordinate bonds
5. any chemical compound in which one molecule is linked to another by a coordinate bond
Collins Discovery Encyclopedia, 1st edition © HarperCollins Publishers 2005
The following article is from The Great Soviet Encyclopedia (1979). It might be outdated or ideologically biased.

## Complex

(in mathematics), one of the fundamental concepts of combinatorial topology. It is essential to the aims of this science to regard geometric figures as being subdivided into more elementary figures. It is easiest to construct geometric figures out of simplexes, that is, in the case of three-dimensional space, out of points, lines, triangles, and tetrahedra. Thus, we are most often dealing with simplicial complexes.

A simplicial complex is a finite set of simplexes situated in a certain Euclidean (or Hilbert) space and possessing the following property: the intersection of two simplexes of this set is either empty or is a face of each of them. If a complex contains a γ-dimensional simplex and no simplexes of higher dimension, then the complex is termed γ-dimensional. This very simple concept has undergone many generalizations, proceeding in different directions. Together with the just-defined finite complexes it is possible to define countable complexes. It is further possible to proceed from simplicial complexes to analogously defined cell complexes, whose elements are not necessarily simplexes but any convex polyhedrons or even any figures homeomorphic to them; in the latter case, we speak of “curvilinear” complexes. Ordinarily, only those complexes are considered that satisfy the following closure condition: each face of a simplex belonging to a given complex must also belong to that complex. A set that can be represented as a union of simplexes forming an n-dimensional complex is termed an n-dimensional polyhedron.

### REFERENCES

Aleksandrov, P. S. Kombinatornaia topologiia. Moscow-Leningrad, 1947.
Pontriagin, L. S. Osnovy kombinatornoi topologii. Moscow-Leningrad, 1947.

## Complex

in psychology, in the most general sense, a particular combination of psychological processes into some sort of whole; in a narrower sense, the word is taken to mean a group of heterogeneous psychic elements connected by a single affect.

Complex, in the latter sense, has become one of the basic concepts of various schools of depth psychology. According to psychoanalysis (S. Freud, Austria), complexes form around tendencies that are displaced to the subconscious (for example, the Oedipus complex arises as a result of the displacement in early childhood of hostile impulses toward the father). Complexes produce deviations in human behavior that are manifested in the form of improper actions, neuroses, and obsessions. In individual psychology (A. Adler, Austria), an exceptional role is attributed to the inferiority complex—an individual’s feeling of his own organic or mental inadequacy. Overcoming this complex by means of compensation is regarded by Adler to be the principal factor in man’s mental development, character formation, and behavior.

D. N. LIALIKOV

## complex

[′käm‚pleks]
(geology)
An assemblage of rocks that has been folded together, intricately mixed, involved, or otherwise complicated.
(mathematics)
A space which is represented as a union of simplices which intersect only on their faces.
(medicine)
(mineralogy)
Composed of many ingredients.
(psychology)
A group of associated ideas with strong emotional tones, which have been transferred from the conscious mind into the unconscious and which influence the personality.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
References in periodicals archive ?
He said that judicial officials had announced some two weeks ago to shift the judicial complex to Bajaur from Timergara in the second week of June.
Hui, DNA Interaction and Cytotoxic Activity of a Chiral Amino-Alcohol Schiff Base Derived Cu (II) Complex, Chin.
it was reasoned that for allottees to take up their Shops in the Complex Government would need to put in place at least a Slaughter Slab.
The president launched the Shaki "ASAN Hayat" complex.
City Mayor Wasim Akhtar said that the four major sports complexes run by the Karachi Metropolitan Corporation (KMC) in the city would be upgraded to facilitate full participation of young people in sports activities.
The CJP, who also personally visited the judicial complex on Wednesday, observed, "No need for explanation as we have personally visited the site...
He remarked that there is also no security at the new judicial complex, adding that there are no facilities to protect lawyers from harsh weather conditions.
Formation of some tris complexes could also decrease luminescence intensity for C1 complex.
Here, we report on a second patient with mutations in the complex III assembly factor UQCC2 who showed pronounced deficiency of complexes I and III.
UV-visible spectra of morin and [Mn(Morin)(H2O)2]Cl.3H2O metal complex were recorded on double beam spectrophotometer (Perkin Elmer Lambda 35) in MeOH using 1.00 cm standard quartz cells.
b.) FT - IR spectral studies and mode of co- ordination IR spectral band due to (C = N) ring vibrations of uncon- ordinated 1,10 - phenanthroline in free ligand was appeared at 1590cm -1 .The peaks for (C = N) in complex 1 was 1515 cm -1 and 1514cm -1 in complex -II.

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