" The moral of this story is the duality of human nature, although some believe that Jordaens chose this story not for his interest in its moral lesson, but for his interest in rendering a peasant scene.

The half-segmental arch, blocked by the submerged tower which, in turn, bisects the facade into a near duality, and the violent adjacencies of rectangles, squares, lunettes, and diagonals of contrasting sizes, compose a building seemingly held up by the buildings next door: it is an almost insane short story of a castle on a city street.

In the same story, Sam also survives having an alien leech implanted in her head by a robot called Azoth, who notes Sam's special DNA, due to the Blonde Sam / Dark Sam duality.

But evolution from the standpoint of the creature, with his limited knowledge, limited power, limited capacity for enjoying bliss, is an epic of alternating rest and struggle, joy and sorrow, love and hate, until, in the perfected man, God balances the pairs of opposites and transcends duality.

Some modern deists have modified this classical view and believe that humanity's relationship with God is transpersonal, which means that God transcends the personal / impersonal duality and moves beyond such human terms.

* The transforms are linear operators and, with proper normalization, are unitary as well ( a property known as Parseval's theorem or, more generally, as the Plancherel theorem, and most generally via Pontryagin duality ).

Here the kets and columns are identified with the vectors of V and the bras and rows with the dual vectors or linear functionals of the dual space V < sup >*</ sup >, with conjugacy associated with duality.

Model theory recognises and is intimately concerned with a duality: It examines semantical elements by means of syntactical elements of a corresponding language.

This duality, a sonorant airflow through the nose along with an obstruction in the mouth, means that nasal occlusives behave both like sonorants and like obstruents.

By applying Pontryagin duality, one can see that abelian profinite groups are in duality with locally finite discrete abelian groups.

At the same time, there was a rise in philosophical and midrashic interpretations depicting women in a negative light, emphasizing a duality between matter and spirit in which femininity was associated, negatively, with earth and matter.

Black hole-like black p-branes are identified with D-branes, which are endpoints for strings, and this identification is called Gauge-gravity duality.

This ‘ duality ’ results in a wealthy sector, with excellent growth prospects, with the rest of the economy lagging behind.

showed that we can use macroscopic oil droplets on a vibrating surface as a model of wave – particle duality — localized droplet creates periodical waves around and interaction with them leads to quantum-like phenomena: interference in double-slit experiment, unpredictable tunneling ( depending in complicated way on practically hidden state of field ) and orbit quantization ( that particle has to ' find a resonance ' with field perturbations it creates — after one orbit, its internal phase has to return to the initial state ).

Below is an illustration of how wave – particle duality is consistent with De Broglie's hypothesis and Heisenberg's uncertainty principle ( above ).

The inherent ambiguity associated with applying Heisenberg's uncertainty principle and thus wave – particle duality is subsequently avoided.

* Wave – particle duality is exploited in electron microscopy, where the small wavelengths associated with the electron can be used to view objects much smaller than what is visible using visible light.

Zero – sum games are most often solved with the minimax theorem which is closely related to linear programming duality, or with Nash equilibrium.

The interference experiments of Thomas Young vindicated Huygens ' wave theory in 1801, as the results could no longer be explained with light particles ( see however wave-particle duality ).

** Pole and polar line, a duality with respect to conics in projective geometry

Far from claiming to make " the contradiction disappear " which Max Born thought could be achieved with a statistical approach, de Broglie extended wave-particle duality to all particles ( and to crystals which revealed the effects of diffraction ) and extended the principle of duality to the laws of nature.

The idea of duality originated in a debate over the nature of light and matter that dates back to the 17th century, when competing theories of light were proposed by Christiaan Huygens and Isaac Newton: light was thought either to consist of waves ( Huygens ) or of particles ( Newton ).

Probably we should connect with this the statement that Xenocrates called unity and duality ( monas and duas ) deities, and characterised the former as the first male existence, ruling in heaven, as father and Zeus, as uneven number and spirit ; the latter as female, as the mother of the gods, and as the soul of the universe which reigns over the mutable world under heaven, or, as others have it, that he named the Zeus who ever remains like himself, governing in the sphere of the immutable, the highest ; the one who rules over the mutable, sublunary world, the last, or outermost.

This is actually an exact duality over a lattice.

The self-duality of the adeles of the function field of a curve over a finite field easily implies the Riemann-Roch theorem for the curve and the duality theory for the curve.

This theme of duality carries over to Morpheus in The Matrix, who offers Neo either a blue pill ( to forget about The Matrix and continue to live in the world of illusion ) or a red pill ( to enter the painful world of reality ).

If the variety is defined over the complex numbers, this yields different information from Poincaré duality, which relates H < sup > i </ sup > to H < sup > 2n − i </ sup >, considering V as a real manifold of dimension 2n.

There are cases of intermediate abstraction, such as commutative algebraic groups over a field, where Cartier duality gives an antiequivalence with commutative affine formal groups, so if G is the additive group G < sub > a </ sub >, then its Cartier dual is the multiplicative formal group, and if G is a torus, then its Cartier dual is étale and torsion-free.

The same duality pattern holds for a smooth projective variety over a separably closed field, using l-adic cohomology with Q < sub > ℓ </ sub >- coefficients instead.

Yet another group of similar duality statements is encountered in arithmetics: étale cohomology of finite, local and global fields ( also known as Galois cohomology, since étale cohomology over a field is equivalent to group cohomology of the ( absolute ) Galois group of the field ) admit similar pairings.

A duality between two vector spaces over a field F is a nondegenerate bilinear map

The government of Quebec, in line with its policy of the duality of nations, objected to the new Canadian constitutional arrangement of 1982 ( the patriation ), because its formula for future constitutional amendments failed to give Quebec veto power over all constitutional changes.

In 1950, Iwasawa was invited to Cambridge, Massachusetts to give a lecture at the International Congress of Mathematicians on his method to study Dedekind zeta functions using integration over ideles and duality of adeles ; this method was also independently obtained by John Tate and it is sometimes called Tate's thesis or the Iwasawa-Tate theory.

Their existence can be predicted from the dual spin network / spin foam models ( this duality is exact over a lattice ).

She realized she identified as a lesbian and chose, in her words, to avoid the " duality " between man and woman.

It is also represented by a duality of pain and a neutralisation of the other ’ s pain ( all shown by her reputed miracles in New France ).

Wanda Orlikowski applied her critique of the duality of structure to technology: " The duality of technology identifies prior views of technology as either objective force or as socially constructed product – as a false dichotomy.

* In one of the depictions, the goddess holds both the trident of Shiva and the discus of Vishnu, possibly marking her as the great goddess who transcends the duality of Saiva and Vaishnava worship.

The main question as regards Shakespeare's Cressida is centralised around whether she is simply a ' whore ', or if she is more complex, and worth further attention due to her obvious intelligence and duality.

Caplan ( 2009: p. 163 ), with an indirect quotation, conveys her understanding of the view of a contemporary Ngakpa who holds duality and nonduality to be nondual:

Medieval representations of Fortune emphasize her duality and instability, such as two faces side by side like Janus ; one face smiling the other frowning ; half the face white the other black ; she may be blindfolded but without scales, blind to justice.

Soon, certain other occultists soon picked up on her newly introduced duality, which, according to historian Dave Evans, " had not been known before " in the Western Esoteric Tradition.

Bellos organizes Steinbock and Bette into a duality of weakness and strength ; whereas the Polish artist is unable to direct his energies into productive work, Bette draws strength from her virginity and thus becomes powerful by denying the lust to which Steinbock falls prey.

A core class / political duality in the episodes ' storylines tend to be driven by comparisons and contrasts ( and often cooperation ) between liberal Delgado, and her fellow women's health practitioner across the lobby, who sees paying patients and generally has more conservative values — this role has been filled by various characters, most recently Dr. Dylan West.

WE found OURselves — INNATE AND I — until EACH lost his or her singular and single identity and became a plural duality, to eventually walk down the byways and highways together the rest of OUR lives ( 1961, p. 163 ).

In her concurrence to State v. Daniels, 40 P. 3d 611, 626 ( Utah 2002 ), she stated, “ I continue to be a proponent of independent state constitutional analysis on federalism grounds, believing we should use a primacy approach or dual analysis approach whenever possible .” In State v. Larocco, 794 P. 2d 460 ( Utah 1990 ), however, Justice Durham recognized the duality of the American system.