[permalink] [id link]
Some Related Sentences
Duality and theorem

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

This result
is an application of Poincaré
Duality together with
the Universal coefficient
theorem which gives an identification and.
Duality and definition
: 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 category
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 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 theory
* Duality in field
theory and statistical systems
, Robert Savit
, Rev.

**
Duality ( order
theory ),
a concept regarding binary relations

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 ( order
theory )
* Duality principle ( optimization
theory )
* Duality principle
in functional analysis
, used
in the large sieve method of analytic number
theory

A treatment of this
theory, Residues and
Duality ( 1966 )
by Robin Hartshorne
, became an accessible reference.
Duality and has

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.

Ra
has sold 80
, 000 copies of
Duality.
Duality and dual

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 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 which
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.
" 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 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.

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.

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.

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 by
* Duality ( film ),
a Star Wars fan film
by Dave Macomber and Mark Thomas
* Duality ( Lisa Gerrard & Pieter Bourke album ),
a 1998 album
by Lisa Gerrard and Pieter Bourke
* Duality ( song ),
a 2004 single & Grammy-nominated song
by metal band Slipknot
* Duality ( Ra album ),
a 2005 album
by the rock band Ra
* Duality, a large format audio mixing console
by Solid State Logic
* 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 ).
* K3 Surfaces and String
Duality, by Paul Aspinwall

*" Xenochrist ",
a song on
the album Planetary
Duality by The Faceless
* Quantum Principal Bundles and Tannaka – Krein
Duality by Mico Durdevic
Duality and ".
* Nave
, R.,
" Wave-Particle
Duality ".
* B. R. Greene and M. R. Plesser
, " Duality in Calabi-Yau Moduli Space
".
0.150 seconds.