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Duality and Tannaka
* Quantum Principal Bundles and TannakaKrein Duality by Mico Durdevic

Duality and from
* Duality, a 2007 single from alternative rock / punk band Bayside
* 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 ).
Duality is a 2005 album from the band Ra.
Deida published several papers from 1985 to 1991 including, “ The Form of Duality: Objectification as Implicate Time ( 1985 )”, “ Some Fundamental Aspects of the Indicational Calculus and the Eigenbehavior of Extended Forms ( 1985 )”, “ The Indicational Calculus and Trialectics ( 1985 )”, “ An Approach to a Mathematics of Phenomena: Canonical Aspects of Reentrant Form Eigenbehavior in the Extended Calculus of Indications ( 1988 )”, and “ Multiplicity and Indeterminacy in the Dynamics of Formal Indicational Automata ( 1991 ).”

Duality and category
* Duality: Every statement, theorem, or definition in category theory has a dual which is essentially obtained by " reversing all the arrows ".
Duality is the observation that σ is true for some category C if and only if σ < sup > op </ sup > is true for C < sup > op </ sup >.

Duality and back
" After the Red Dwarf crew finds the wreck it is brought aboard and repaired in order to utilise its Duality Jump engine, which could get the crew back to Earth within three months.

Duality and group
: From the point of view of the definition, this is an expression of the Poincaré Duality isomorphism where is the quotient of the field of fractions of by, considered as a-module, and where is the conjugate-module to ie: as an abelian group it is identical to but the covering transformation acts by.

Duality and one
There are two approaches to the subject of duality, one through language ( the Principle of Duality ) and the other a more functional approach.
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 and its
They fantasise that they board the Nova 5 and use its Duality Jump drive to return to Earth.

Duality and .
In Chinese creation myth | Daoist creation myth, " The Way gave birth to unity, Unity gave birth to duality, Duality gave birth to trinity, Trinity gave birth to the myriad creatures.
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.
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.
* E. H. Carlson, Wave – Particle Duality: Light on Project PHYSNET
Third-Wave Feminism and the Need to Reweave the Nature / Culture Duality, NWSA Journal 16 ( 3 ): 154-179.
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.
Miguel Leon-Portilla interprets the name " Ometeotl " as " Lord of the Duality " and argues that Ometeotl was the supreme creator deity of the Aztecs, and that the Aztecs envisioned this deity as a mystical entity with a dual nature akin to the European concept of the trinity.
Duality and unity are both significant.
Duality implies distinctive cultural development while unity implies common purpose and community.
* Duality in field theory and statistical systems, Robert Savit, Rev.
* Berthold-Georg Englert, Marlan O. Scully & Herbert Walther, Quantum Optical Tests of Complementarity, Nature, Vol 351, pp 111 – 116 ( 9 May 1991 ) and ( same authors ) The Duality in Matter and Light Scientific American, pg 56 – 61, ( December 1994 ).
Gerrard teamed with Pieter Bourke ( Snog, Soma ) to issue Duality in April 1998.
This paradox is known as the Wave – particle Duality Paradox.
Duality in the Fano plane: Each point corresponds to a line and vice versa.
** 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.
* B. R. Greene and M. R. Plesser, " Duality in Calabi-Yau Moduli Space ".

theorems and describe
In mathematics, specifically abstract algebra, the isomorphism theorems are three theorems that describe the relationship between quotients, homomorphisms, and subobjects.
Some modern magicians, such as Aleister Crowley and those who follow the traditions of the Hermetic Order of the Golden Dawn and Ordo Templi Orientis, describe magic in rational terms, using definitions, postulates and theorems.
According to Proclus the term was used to describe a theorem that is all-pervading and helps furnishing proofs of many other theorems.
In fluid mechanics, Helmholtz's theorems, named after Hermann von Helmholtz, describe the three-dimensional motion of fluid in the vicinity of vortex filaments.
Gödel's incompleteness theorems have been taken to prove, among other things, that no system of axioms that describe the set of natural numbers can prove its own validity-nor perhaps can it prove every truth about the natural numbers.

theorems and converse
The systems in the table below are partially ordered by inclusion, in the sense that, if all the theorems of system A are also theorems of system B, but the converse is not necessarily true, then B includes A.
Lie listed his results as 3 direct and 3 converse theorems, the infinitesimal variant of Cartan's theorem was essentially his 3rd converse theorem, hence Serre has called it in an influential book, the " third Lie theorem ", the name which is historically somewhat misleading, but more often used in the recent decade in the connection to many generalizations.
More interesting and in general more subtle are partial converse results, called tauberian theorems, from a prototype proved by Alfred Tauber.

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