The primal graph of a hypergraph is the graph with the same vertices of the hypergraph, and edges between all pairs of vertices contained in the same hyperedge.

An important example of this type comes from computational geometry: the duality for any finite set S of points in the plane between the Delaunay triangulation of S and the Voronoi diagram of S. As with dual polyhedra and dual polytopes, the duality of graphs on surfaces is a dimension-reversing involution: each vertex in the primal embedded graph corresponds to a region of the dual embedding, each edge in the primal is crossed by an edge in the dual, and each region of the primal corresponds to a vertex of the dual.

The dual graph depends on how the primal graph is embedded: different planar embeddings of a single graph may lead to different dual graphs.

The weak dual of an embedded planar graph is the subgraph of the dual graph whose vertices correspond to the bounded faces of the primal graph.

Horror is a film genre seeking to elicit a negative emotional reaction from viewers by playing on the audience's primal fears.

:" My thesis is ," says, " That if we start with the supposition that there is only one primal stuff or material in the world, a stuff of which everything is composed, and if we call that stuff ' pure experience ,' then knowing can easily be explained as a particular sort of relation towards one another into which portions of pure experience may enter.

In this sense, in constructing a world where objective knowledge is possible, Christianity is an antidote against a primal form of nihilism, against the despair of meaninglessness.

( The title is a play on The Wizard of Oz, combined with the Freudian psychological term Id, which represents the instinctive and primal part of the human psyche.

: She ( Wisdom ) is the primal architect of creation who existed with God before the universe was formed ()

The music stemming from Laneri ’ s improvisatory " consciousness expansion " tends to be vocal, as the voice is regarded as the " primal instrument ".

Louis Jacobs writes that modern Jewish thinkers such as Levi Olan, echoing some classical Jewish writers such as the 14th-century Talmudist Gersonides have " thought of God as limited by His own nature so that while He is infinite in some respects he is finite in others ," referencing the idea, present in classical sources, that " there is a primal formless material co-existent with God from all eternity upon which God has to work and that God only knows the future in a general sense but not how individual men will exercise their choice.

Like other primal entities ( such as the earth and time ), Tartarus is also a primordial force or deity.

" Fortuna Imperatrix Mundi ", commonly known as " O Fortuna ", from Carmina Burana is often used to denote primal forces, for example in the Oliver Stone movie The Doors ..

Feminist theory of psychoanalysis, articulated mainly by Julia Kristeva ( the " semiotic " and " abjection ") and Bracha Ettinger ( the feminine-prematernal-maternal matrixial Eros of borderlinking and com-passion, " matrixial trans-subjectivity " and the " primal mother-phantasies "), and informed both by Freud, Lacan and the Object relations theory, is very influential in gender studies.

Formally, a transductive support vector machine is defined by the following primal optimization problem:

Another approach is to use an interior point method that uses Newton-like iterations to find a solution of the Karush – Kuhn – Tucker conditions of the primal and dual problems.

: Perseverance … is due to the purpose of God saving men and thereby bringing glory to his name, to the work of Christ canceling men's debt and earning their righteousness, to the indwelling of the Holy Spirit sealing men in salvation and leading them in God's ways, and to the primal source of all, the infinite, mysterious, and immutable love of God.

The inveterate enemy of the Olympian gods is described in detail by Hesiod as a vast grisly monster with a hundred serpent heads " with dark flickering tongues " flashing fire from their eyes and a din of voices and a hundred serpents legs, a feature shared by many primal monsters of Greek myth that extend in serpentine or scaly coils from the waist down.

In which case a question is opened, can a solipsist have possibly existed without physics, or physics are coverups for some constant primal quality of the solipsist's own existence?

" The book states that paradise is the primal origin and the final destiny for all spirit personalities, and for all the ascending creatures of the evolutionary worlds of time and space.

In Māori mythology, Ao (" daylight ") is one of the primal deities who are the unborn forces of nature.

" and had " gradually learnt to see that it is just as noble a conception of Deity, to believe that He created primal forms capable of self development into all forms needful pro tempore and pro loco, as to believe that He required a fresh act of intervention to supply the lacunas which He Himself had made ", asking " whether the former be not the loftier thought.

In Hindu ( Vedic ) tradition, Shesha ( in IAST transliteration, Devanagari: श े ष ) or Sheshanaag ( Shesha the Naga ) ( in IAST transliteration, Devanagari: श े षन ा ग ) or Adishesha ( in IAST transliteration, Devanagari: आद ि श े ष ) is the king of all nagas, one of the primal beings of creation, and according to the Bhagavata Purana, an Avatar of the Supreme God known as Narayana.

They may alternatively involve the sacrifice of ' a primal animal, which must be sacrificed in the cause of fertility or even creation ', while there is evidence that ' prehistoric mother worship in the form of fertility rites is tied to human sacrifice '.

In polytheistic creation, the world often comes into being organically, e. g. sprouting from a primal seed, sexually, by miraculous birth ( sometimes by parthenogenesis ), by hieros gamos, violently, by the slaying of a primeval monster, or artificially, by a divine demiurge or " craftsman ".

There are medieval eccentricities, sometimes phantasmagoric, superfluous emotional detail and a misty non-linear, often jagged quality to his drawings, with primal tonality to his coloration that separates him from the classic Roman masters.

The popularity of the " primal scream " has grown to be so great here that students can be found practicing the tradition at various points during the middle of semesters as well ( before midterms ), and sometimes on ordinary Thursday nights, just to celebrate the end of the week for some students.

While there are no " primal scream " traditions, there will sometimes be streakers that run through the Undergraduate Library ( open 24 hours ) unannounced.

In addition to the original (" primal ") variable we introduce a Lagrange multiplier inspired dual variable ( sometimes called " slack variable ")

It also involved escape from the socialized personality and ego into an ecstatic, deified state or the primal herd ( sometimes both ).

Hatshepsut also traced her lineage to Mut, a primal mother goddess of the Egyptian pantheon, which gave her another ancestor who was a deity as well as her father and grandfathers, pharaohs who would have become deified upon death.

The people of Plataea also personified the mountain as their primal king: " The Plataians know of no king except Asopos and Kithairon before him, holding that the latter gave his name to the mountain, the former to the river ".

Nefertem (; possibly " beautiful one who closes " or " one who does not close "; also spelled Nefertum or Nefer-temu ) was, in Egyptian mythology, originally a lotus flower at the creation of the world, who had arisen from the primal waters.

The images of these two primal goddesses became the protecting deities for all of Egypt, also known as the " Two Ladies " and one of the titles of each ruler was the Nebty name, which was associated with these goddesses and beginning as of the Two Ladies ... with the remainder of that title.

Robert Ellwood also places Eliade's involvement with the Iron Guard in relation to scholar's conservatism, and connects this aspect of Eliade's life with both his nostalgia and his study of primal societies.

From 1981, Long also alluded to the terms of painting by applying mud in a very liquid state by hand to a wall in similar configurations, establishing a dialogue between the primal gesture of the hand-print and the formal elegance of its display.

In addition, Shakespeare also references Cain and Abel in Act III Scene iii of Hamlet when Claudius says, " It hath the primal eldest curse upon't / A brother's murder!

This also shows that aside from his primal behavior, Donnie is rather intelligent and it was even revealed that he drew a picture of his parents alongside with the orangutan family that raised him.

Yet at the same time organized religion also exacts an enormous psychological cost to the individual by making him perpetually subordinate to the primal father figure embodied by God.

Lindeberg studied the problem of linking local extrema and saddle points over scales, and proposed an image representation called the scale-space primal sketch which makes explicit the relations between structures at different scales, and also makes explicit which image features are stable over large ranges of scale including locally appropriate scales for those.

Caleb also comments further on his admiration of the First, when it ( under the guise of Buffy ) vocalizes its envy of humans ' ability to feel lust and engage in primal sexual acts, while several members of the Scooby Gang engage in such activity elsewhere.

Chaos was also personified as a primal deity in Greek mythology, as the first of the primordial deities and the god of the air.

After the animal is slaughtered and cleaned, either an entire half will be hung, primal ( large distinct sections ) or sub primal cuts strip loins, rib eyes and sirloin will be placed in a refrigerator unit, also known as a " hot box ".

Mages of various factions also find themselves working to further the interests of the Triat ( though mages often view the Triat as primal forces, not discrete entities ).

After finding Hikari, Takeru gains inexplicable new powers which allow him to transform into a powerful, yet primal being with incredible lethality, but has also been shown to be able to transform into something between his human and monster forms.

The Abzu freshwater sea was also depicted as a deity in the Babylonian creation myth, the Enûma Elish, where he was a primal being made of fresh water and a lover to another primal deity, Tiamat, who was a creature of salt water.

" The Tyger " also presents a duality between aesthetic beauty and primal ferocity.

It was also around this time that Melina added another characteristic to her gimmick: screaming loudly at ringside while managing or in tag team action, which became known as the " primal scream ".

Wotanism teaches that God dwells within the individual human spirit as an inner source of magical power, but is also immanent within nature through the primal laws which govern the cycles of growth, decay and renewal.

He was also an early opponent of the traditionalist author René Guénon, citing the latter's uncritical belief in a " Perennial philosophy ", that is, a primal truth revealed directly to primitive humanity, based on an extreme reductionist view of Hinduism, which was the subject of Guénon's first book, L ' Introduction générale a l ' étude des doctrines hindoues, in fact a thesis delivered to Lévi at the Sorbonne, and rejected.