Complex

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Related to superiority complex: inferiority complex

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

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.
References in periodicals archive ?
The title appeared to give support to their superiority complex.
What possible antidote can be administered for such an affliction, without stooping to the dense ignorance entwined with a rigid superiority complex, which saturates these writings?
This is the American superiority complex, a profound affliction that distorts our perceptions and enables manipulative Presidents to give the marching orders.
The assumption that the military might is synonymous with ethical right, can only lead to an inverted superiority complex by other nations adopting ethics that demand confrontation rather than convergence.
The mixture of this superiority complex and an inferiority complex spawned by its humiliating modern history since the Opium War seems to be producing very complicated feelings.
So ease up on the superiority complex and accept yourself for the imperfect creature you are.
In a time of silence she had learned of 'my superiority complex as a Christian, who knew nothing of Christ's spirit'.
If you look at people who are part of the Ku Klux Klan and hear the reasons they're in it, a lot of it is either superiority complex or inferiority complex or a lack of education.
Pervez Musharraf on Tuesday said Pakistan and India could resolve their key differences peacefully provided India gives up its superiority complex and treats Pakistan as an equal.
We profile LendingTree, with its uniquely branded marketing identity where lenders surrender their superiority complex and fight for a consumer's loan business.
Add to that the lack of a clear enemy with the Cold War's end and the military's superiority complex because it has solved problems, such as drugs, that civilian society has not, and you are left with a potentially toxic combination.
Even worse is Bright's lesbian superiority complex.