complex

Definitions

  • A repeated and complex spiral, wheel and lotus design
    A repeated and complex spiral, wheel and lotus design
  • WordNet 3.6
    • adj complex complicated in structure; consisting of interconnected parts "a complex set of variations based on a simple folk melody","a complex mass of diverse laws and customs"
    • n complex a whole structure (as a building) made up of interconnected or related structures
    • n complex a conceptual whole made up of complicated and related parts "the complex of shopping malls, houses, and roads created a new town"
    • n complex (psychoanalysis) a combination of emotions and impulses that have been rejected from awareness but still influence a person's behavior
    • n complex a compound described in terms of the central atom to which other atoms are bound or coordinated
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Additional illustrations & photos:

Plan showing the extent and complexity of the buildings Plan showing the extent and complexity of the buildings
Showing the extent of the huge symmetrical complex Showing the extent of the huge symmetrical complex
Showing extensive and complex decoration on the walls and vaulted ceiling Showing extensive and complex decoration on the walls and vaulted ceiling
Showing complex interwoven geometric design Showing complex interwoven geometric design

Webster's Revised Unabridged Dictionary
  • Interesting fact: Men's three pound is the most complex and orderly arrangement of matter known in the universe.
    • n Complex Assemblage of related things; collection; complication. "This parable of the wedding supper comprehends in it the whole complex of all the blessings and privileges exhibited by the gospel."
    • Complex Composed of two or more parts; composite; not simple; as, a complex being; a complex idea. "Ideas thus made up of several simple ones put together, I call complex ; such as beauty, gratitude, a man, an army, the universe."
    • Complex Involving many parts; complicated; intricate. "When the actual motions of the heavens are calculated in the best possible way, the process is difficult and complex ."
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Century Dictionary and Cyclopedia
  • Interesting fact: Scientists have figured out that the speed of nerve impulses in the brain is 404 feet per second. If an idea is complex enough to take 100 nerve messages from one side of the brain to the other, the thought could be completed in less than a tenth of a second.
    • complex Composed of interconnected parts; formed by a combination of simple things or elements; including two or more connected particulars; composite; not simple: as, a complex being; complex ideas; a complex term.
    • complex Involved; intricate; complicated; perplexing.
    • complex In the theory of numbers, any expression in the form ai + bj +, etc., where a, b, etc., are integers, and i, j, etc., are peculiar units.
    • n complex Anything consisting in or formed by the union of interconnected parts; especially, an assemblage of particulars related as parts of a system.
    • n complex In geometry, a continuous, triply infinite system of infinite straight lines; the whole of any kind of forms in space fulfilling one condition: thus, all the lines that cut a given curve in space constitute a complex.
    • complex To combine intricately; involve; mix up.
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Chambers's Twentieth Century Dictionary
  • Interesting fact: The Taj Mahal complex in India was built between 1631 and 1634 at a cost of about 40-million rupees.
    • adj Complex kom′pleks composed of more than one, or of many parts: not simple: intricate: difficult
    • n Complex a complex whole
    • v.t Complex to complicate
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Quotations

  • Walt Disney
    Walt%20Disney
    “I always like to look on the optimistic side of life, but I am realistic enough to know that life is a complex matter.”
  • Vince Lombardi
    Vince%20Lombardi
    “People who work together will win, whether it be against complex football defenses, or the problems of modern society.”
  • C. Northcote Parkinson
    C. Northcote Parkinson
    “Expansion means complexity and complexity decay.”
  • Gerald W. Grumet
    Gerald W. Grumet
    “While intelligent people can often simplify the complex, a fool is more likely to complicate the simple.”
  • Alfred North Whitehead
    Alfred%20North%20Whitehead
    “In every age of well-marked transition, there is the pattern of habitual dumb practice and emotion which is passing and there is oncoming a new complex of habit.”
  • Remy De Gourmont
    Remy%20De%20Gourmont
    “Very simple ideas lie within the reach only of complex minds”

Etymology

Webster's Revised Unabridged Dictionary
L. complexus, p. p. of complecti, to entwine around, comprise; com-, + plectere, to twist, akin to plicare, to fold. See Plait (n.)

Usage

In literature:

In general all these changes of the deeper zone tend to make the rocks more crystalline and dense and to make the minerals more complex.
"The Economic Aspect of Geology" by C. K. Leith
He sees that human life has on the whole grown more complex.
"Progress and History" by Various
Industry is too complex and too highly organized to permit a return to the old system of decentralized control.
"The Spirit of American Government" by J. Allen Smith
The more closely, in fact, spot-fluctuations are looked into, the more complex they prove.
"A Popular History of Astronomy During the Nineteenth Century" by Agnes M. (Agnes Mary) Clerke
The complexity of animal structure is even more marvellous than their mere magnitude.
"The Beauties of Nature" by Sir John Lubbock
In modern industrial changes many different factors, material and moral, are discernibly related to one another in many complex ways.
"The Evolution of Modern Capitalism" by John Atkinson Hobson
This order represented a progression from the more elementary to the more complex.
"Introduction to the Science of Sociology" by Robert E. Park
In complex societies these groups are united to form the whole social structure.
"The Next Step" by Scott Nearing
Obviously, this is no place to embark on the discussion of a subject of such extreme complexity.
"The Practice of Autosuggestion" by C. Harry Brooks
Or shall we begin with the more complex but better-known forms and go downward?
"College Teaching" by Paul Klapper
Two conclusions may be drawn from what we have just said: the extreme complexity and the absolute necessity of Historical Criticism.
"Introduction to the Study of History" by Charles V. Langlois
Universally the effect is more complex than the cause.
"Essays: Scientific, Political, & Speculative, Vol. I" by Herbert Spencer
But the facts are far too complex to enable us thus to rush hastily to an answer.
"The Truth About Woman" by C. Gasquoine Hartley
It is well known that the evolutionary age of anything depends upon its complexity.
"Elementary Theosophy" by L. W. Rogers
Theriac or Mithridatum grew in complexity until by the 16th century it had some 60 different ingredients.
"Old English Patent Medicines in America" by George B. Griffenhagen
Intellect, deny it how it will, is baffled by the complex problem.
"The Great Events by Famous Historians, v. 13" by Various
The peculiar and complex nature of the child offered her a tremendous advantage.
"Carmen Ariza" by Charles Francis Stocking
We are all, as you are aware, complex creatures, all composed of diverse selves, each self possessing a specific shape and individuality.
"Byways of Ghost-Land" by Elliott O'Donnell
Recognizing, then, the two types of complexity, the type of complexity with which I am concerned especially in these papers is the higher type.
"The Vagabond in Literature" by Arthur Rickett
The brain is relatively large, round in form, with its surface divided into numerous and complex convolutions.
"Encyclopaedia Britannica, 11th Edition, Volume 5, Slice 7" by Various
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In poetry:

It has a “point” of neither sex
But comes in guise of both,
And, doubly dangerous complex,
It is a thing to loathe—
A lady with her sweet, sad smile,
A gentleman on oath.
"The Peace Maker" by Henry Lawson
Try as she will, the trackless world delivers
No way, the wilderness of light no sign;
Immense,complex contours of hills and rivers
Mock her small wisdom with their vast design.
"Death of the Bird " by A D Hope
Deprive this strange and complex world
Of all the charms of art;
Deprive it of those sweeter joys
Which music doth impart;
But oh, preserve that smile, which tells
The secret of the heart!
"Deprive This Strange And Complex World." by Alfred Castner King
You must mean more than just this hour,
You perfect thing so subtly fair,
Simple and complex as a flower,
Wrought with such planetary care;
How patient the eternal power
That wove the marvel of your hair.
"Flos Aevorum" by Richard Le Gallienne
The world is varied, very wide;
For each of us there is a place.
Within your sphere be quite content,
Be proud of work that is your own,
And to life's complex instrument
With sweetness add your mite of tone.
"To One Who Sighed" by Wilhelmina Stitch
- Of the four involved there walks but one
On earth at this late day.
And what of the chapter so begun?
In that odd complex what was done?
Well; happiness comes in full to none:
Let peace lie on lulled lips: I will not say.
"The Contretemps" by Thomas Hardy

In news:

Statisticians can reuse their data to quantify the uncertainty of complex models.
The Charlotte County Sheriff's Street Crimes Unit and Narcotics Unit detectives arrested three people at the Englewood Beach Complex March 15 after receiving complaints of underage drinking and drug use by spring breakers.
Taking a Constructivist View, Engineering Starts with the Basics and Progresses toward Complexity.
As Bruce Springsteen's career skyrocketed in the early '80s, he struggled with depression and self-isolation stemming from his complex relationship with his father.
An 11-screen Bow Tie Cinema complex will open next spring in what for many years had been a Price Chopper supermarket at Railroad Place and Church Street.
Complex controller David Ross said the company recently spent $4 million to purchase two new box machines.
While that phrase might make you think of misty, bliss-tinged feelings of love, English pianist Stephen Hough understands romanticism to be something much deeper and more complex.
Study shows ancient organisms could solve problems well before complex brains evolved.
Students sit in front of the Central Government Complex in Hong Kong on Sept 4, 2012, as students and teachers protested for a sixth straight day against plans to introduce Chinese patriotism classes.
With brains second only to those of humans in relative size, superb memories, sonar systems more sophisticated than any navy's, and complex social structures, dolphins are often considered geniuses of the seas.
High and complex taxes are only some of the obstacles businesses face in Brazil : poor infrastructure, outdated labour laws and reams of red tape also trip them up.
In February, Charlie Manuel spotted his rightfielder on a back field at the Phillies' spring training complex in Clearwater, Fla.
A rendering of the Wilshire at La Brea residential and retail complex, looking south on La Brea Avenue.
Even in pictures, her eyes sparkle, a complicated luminosity far more complex than merely being a pretty woman.
Neighborhood Association files noise violation against Brookside on College complex.
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In science:

One can then construct a natural complex structure on the total space by combining the complex structure on R4 parametrised by the given point of the sphere with the complex structure on the sphere itself.
Aspects of the D=6, (2,0) Tensor Multiplet
He shows further that a finite CW complex is simple equivalent to an n-complex, for n 6= 2, if and only if the chain complex of the universal cover is homologically ndimensional over the fundamental group.
Dual 2-complexes in 4-manifolds
We denote the above complex structure also by I and call it the preferred complex structure, which has been induced from the complex structure of M .
Higgs Bundles and Four Manifolds
From now on by a complex surface we mean a compact complex analytic variety of complex dimension 2. A real structure on a complex surface X is an anti-holomorphic involution X → X . A surface supplied with a real structure is called a real surface ; the real structure is usually denoted by conj.
Real Rational Surfaces Are Quasi-Simple
The complex T , when considered as a complex of left A-modules, is perfect, and the set add T ⊂ Db (Mod A), namely the direct summands of finite direct sums of T , generates the category Db (Mod A)perf of perfect complexes.
Dualizing Complexes and Tilting Complexes over Simple Rings
Complex Structures and Spinor Modules If one complexifies V and works with VC = V ⊗ C, C (VC ) is just the complexification C (V ) ⊗ C and is isomorphic to the matrix algebra of 2n × 2n complex matrices. C (VC ) thus has a single irreducible module and this spinor module S will be a 2n -dimensional complex vector space.
Quantum Field Theory and Representation Theory: A Sketch
Grassmannian Gr(n, 2n) of complex n-planes in 2n complex dimensions. J (V ) has two connected components, each of which can be identified with SO(2n)/U (n). J (V ) also has a holomorphic embedding in the space P (S ) given by mapping J to the complex line ΩJ ⊂ S .
Quantum Field Theory and Representation Theory: A Sketch
Here the transformation V is unitary, z is a diagonal matrix of the complex eigenvalues of A and ˆR is strictly upper triangular. A procedure allowing one to integrate out matrices V , the (N − M )(N − M − 1)/2 complex parameters Rij and the M (N − M ) complex parameters C is described in some detail in .
Random Matrices close to Hermitian or unitary: overview of methods and results
Actually, as we shall see it below, it is impossible to avoid N -complexes in defining the differential, whereas the bimodule Koszul complex is a 2-complex.
Koszulity for nonquadratic algebras II
Definitions What do we mean when we discuss a Complex System, or a highly non-linear complex heterogeneous system? The first important distinctions to make are between simple, complex, and complicated systems.
Complex Systems
It is important to remember that a Complex System is often composed of many sub-systems that contain their own level of complexity, and the complexity of the whole may be the sum and/or the product of its parts, if the sub-systems interact.
Complex Systems
There exists a complex, the Chevalley-Hochshild complex C• (VW , W ) for the A-module W with a flat VW -connection, generalizing the classical deRham-complex.
Chern classes and Lie-Rinehart algebras
The complex C• (VW , A) generalizes simultaneously the algebraic deRham-complex and the Chevalley-Eilenberg complex.
Chern classes and Lie-Rinehart algebras
The complex C• (g, W ) is a complex generalizing simultaneously the algebraic deRham-complex and Chevalley-Eilenberg complex.
Chern classes and Lie-Rinehart algebras
The number of these regions is given by exp(ΣN (α)), where ΣN (α) is the total complexity; for large N the total complexity is asymptotically given by ΣN (α) = N Σ (α) where Σ (α) is the complexity density.
On the probabilistic approach to the random satisfiability problem
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