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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.
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Duality and duality
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 ( CoPs ) refers to the notion of a duality in a Community of Practice
There are two approaches to the subject of duality, one through language ( the Principle of Duality ) and the other a more functional approach.
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 ).
Duality principle or principle of duality may refer to:
Duality and are
Duality and unity are both significant.
* Duality ( of Patterning ): a large number of meaningful elements are made up of a conveniently small number of independently meaningless yet message-differentiating elements.
The two problems are mathematical duals, and hence the Duality Theorem provides a method of proving the relationships described above.
Duality and both
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.
Duality and dual
* Duality: Every statement, theorem, or definition in category theory has a dual which is essentially obtained by " reversing all the arrows ".
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 any
The Principle of Plane Duality says that dualizing any theorem in a self-dual projective plane C produces another theorem valid in C.
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 is
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.
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 >.
If the Star Goddess is the great Unity, than the Twins can be seen as representing all Duality.
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 and order
** Duality ( order theory ), a concept regarding binary relations
They then became the ' Duality of God ,' an order of the lesser demons.
* Duality ( order theory )
" 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 .
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.
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.
Duality in the Fano plane: Each point corresponds to a line and vice versa.
* B. R. Greene and M. R. Plesser, " Duality in Calabi-Yau Moduli Space ".
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