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Duality and is
* Duality: Every statement, theorem, or definition in category theory has a dual which is essentially obtained by " reversing all the arrows ".
Duality with pluralism is considered a logical fallacy.
Duality is also sometimes called reciprocity or polarity.
Duality is most commonly defined in terms of polar reciprocation about a concentric sphere.
Duality ( opposition ) that creates the energy ( or libido ) of the psyche, which Jung asserts expresses itself only through symbols: " It is the energy that manifests itself in the life process and is perceived subjectively as striving and desire.
Xiuhtecuhtli is a manifestation of Ometecuhtli, the Lord of Duality, and according to the Florentine Codex Xiuhtecuhtli was considered to be mother and father of the Gods, who dwelled in the turquoise enclosure in the center of earth.
This paradox is known as the Wave – particle Duality Paradox.
** The interview was also sampled in Konkhra's track " Religion is a Whore " and The Faceless's " Planetary Duality.
Duality, as such, is the assertion that truth is invariant under this operation on statements.
According to Giddens there is a " Duality of structure " by which social practice, which is the principal unit of investigation, has both a structural and an agency-component.
If the Star Goddess is the great Unity, than the Twins can be seen as representing all Duality.
Duality in the projective plane is a special case of duality for projective spaces, transformations of PG ( n, K ) ( also denoted by KP < sup > n </ sup >) with K a field, that interchange objects of dimension r with objects of dimension n-1-r ( = codimension r + 1 ).
The fact that this is an isomorphism of chain complexes is a proof of Poincaré Duality.
This result is an application of Poincaré Duality together with the Universal coefficient theorem which gives an identification and.
Poincaré Duality is closely related to the Thom Isomorphism Theorem, as we will explain here.
The Lotus Sutra's parable of the Burning House implies that all talk of Duality or Non-Duality by Buddhas and Bodhisattvas is merely Skillful Means ( Sanskrit upaya kausala ) meant to lead the deluded to a much higher truth.
Formally, this is captured by the Duality Principle for ordered sets:
Duality of polytopes and order-theoretic duality are both involutions: the dual polytope of the dual polytope of any polytope is the original polytope, and reversing all order-relations twice returns to the original order.

Duality and for
Originally shamanistic practices that have over time may once have been monotheistic later once since deification of an Earth Mother to the Sky father as a Duality, also including ancestor worship and an addition for a " sun deity ", polytheizing the religion and more deities were incorporated after-wards.
This formulation of Poincaré Duality has become quite popular as it provides a means to define Poincaré Duality for any generalized homology theories provided one has a Thom Isomorphism for that homology theory.
Duality arguments show that it is also bounded for 2 < p < ∞.
Through the years of 2008-09, FedNor plans to deliver the Economic Development Initiative ( EDI ) of the Federal Strategy for Official Languages called the Roadmap for Canada ’ s Linguistic Duality 2008 — 2013: Acting for the Future!
* Duality principle for sets
* Gray, E. & Tall, D. ( 1994 ) " Duality, Ambiguity, and Flexibility: A " Proceptual " View of Simple Arithmetic ", Journal for Research in Mathematics Education 25 ( 2 ) p. 116-40.
Duality also reached # 137 on the Billboard 200, and also # 2 for 18 weeks on Heatseekers Albums.
Duality first appeared for actions of the reals in the work of Connes and Takesaki on the classification of Type III factors.

Duality and some
* Duality ( mechanical engineering ), regarding isomorphism of some mechanical laws

Duality and category
Duality theorems of Tannaka and Krein describe the converse passage from the category Π ( G ) back to the group G, allowing one to recover the group from its category of representations.

Duality and C
The Principle of Plane Duality says that dualizing any theorem in a self-dual projective plane C produces another theorem valid in C.

Duality and only
* Blackadder: " The Black Seal " ( 1983 ), " Chains " ( 1986 ), " Duel and Duality " ( 1987 ) — Along with " Goodbyeee " ( 1989 ), the final episodes of the Blackadder series took a liberty that many series would be unable to take, by killing off the major characters ( apart from in Blackadder the Third when only Prince George died ).
* 1997: Duality ( CD only )

is and observation
all is seen and felt and experienced, the observation is sharp and the imagination lively.
His own testimony is that he has read very little in the history of the South, implying that what he knows of that history has come to him orally and that he knows the world around him primarily from his own unassisted observation.
It is as if we, in our center of human observation, from time to time penetrate more deeply into the unknown.
What is exposited by this observation is not the inherent prejudices of Englishmen but the Anglophobia of Brooks Adams.
One of the advantages of this method is that the `` pill '' can remain in the patient for several days, permitting observation under natural conditions.
The best way to determine the correct figure ( in captives ) is by direct observation of pairs isolated from birth, a method that produced surprising results: maturing of a male Indian python in less than two years, his mate in less than three ; ;
The importance of knowing in what chemical forms the hormone may exist is accentuated by the recent observation that there exists an abnormally long-acting TSH in blood drawn from many thyrotoxic patients ( Adams, 1958 ).
Knowledge that thousands of school districts are involved and observation that school desegregation has occurred in only a handful in 1959-1960 leads to a conclusion that desegregation-from-court-order is slow.
This observation is of interest not only to students of Homeric poetry but to students of Anglo-Saxon poetry as well.
This explanation is attractive, but is vitiated at least in part by the observation that Cynewulf, though he used kennings in the traditional manner, was a literate man who four times inscribed his name by runes into his works.
It is a view which even a minimal effort at observation would immediately contradict.
First of all, and this has been calculated by observation, the universe is expanding -- that is, the galaxies are receding from each other at immense speeds.
Participant observation is one of the foundational methods of social and cultural anthropology.
A range of astronomy software is available and used by amateur astronomers, including software that generates maps of the sky, software to assist with astrophotography, observation scheduling software, and software to perform various calculations pertaining to astronomical phenomena.
The concept that matter is composed of discrete units and cannot be divided into arbitrarily tiny quantities has been around for millennia, but these ideas were founded in abstract, philosophical reasoning rather than experimentation and empirical observation.
Two blocks west of the Old Town is the Kuchlbauer Brewery and beer garden featuring the Kuchlbauer Tower, a colorful and unconventional observation tower designed by Viennese architect Friedensreich Hundertwasser.
This has cooled it down to approximately 1 K, as deduced by astronomical observation, which is the lowest natural temperature ever recorded.
Perhaps Grothendieck's deepest single accomplishment is the invention of the étale and l-adic cohomology theories, which explain an observation of André Weil's that there is a deep connection between the topological characteristics of a variety and its diophantine ( number theoretic ) properties.
The aim of these exercises is to develop higher levels of consciousness through meditation and observation.
" The organ of observation and the observed thought process are then identical, so that the condition thus arrived at is simultaneously one of perception through thinking and one of thought through perception.

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