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Page "Dual polyhedron" ¶ 18
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concept and duality
Baba upheld the concept of nonduality, the view that diverse creation, or duality, is an illusion and that the goal of life is conscious realization of the absolute Oneness of God inherent in all animate and inanimate beings and things.
Study of the photoelectric effect led to important steps in understanding the quantum nature of light and electrons and influenced the formation of the concept of wave – particle duality.
A central concept of quantum mechanics, this duality addresses the inability of classical concepts like " particle " and " wave " to fully describe the behavior of quantum-scale objects.
This treatment focuses on explaining the behavior from the perspective of the widely used Copenhagen interpretation, in which wave – particle duality is one aspect of the concept of complementarity, that a phenomenon can be viewed in one way or in another, but not both simultaneously.
* Maya ( illusion ), in Indian religion, the principal concept which manifests, perpetuates and governs the illusion and dream of duality in the phenomenal Universe
De Morgan's laws are an example of a more general concept of mathematical duality.
Claude Lévi-Strauss argues that the former concept, that of twins representing opposites, is an inherent theme in New World mythologies, but that they are not equally balanced figures, representing an open-ended dualism rather than the symmetric duality of Old World cultures.
The concept of dual cell structure, which Henri Poincaré used in his proof of his Poincaré duality theorem, contained the germ of the idea of cohomology, but this was not seen until later.
These results necessitated the new concept of wave-particle duality to reflect that quantum-scale " particles " are understood to behave in a way resembling both particles and waves.
In quantum mechanics, the concept of matter waves or de Broglie waves () reflects the wave – particle duality of matter.
In category theory, the concept of an injective cogenerator is drawn from examples such as Pontryagin duality.
" Like all words that try to reduce the conceptually ungraspable experience of enlightenment to a concept, this one is also not entirely accurate and is even misleading, since the experience contains no duality of " seer " and " seen " because there is no " nature of self ' as an object that is seen by a subject separate from it.
A striking feature of projective planes is the " symmetry " of the roles played by points and lines in the definitions and theorems, and ( plane ) duality is the formalization of this metamathematical concept.
The concept of plane duality readily extends to space duality and beyond that to duality in any finite dimensional projective geometry.
This duality mapping concept can also be extended to higher dimensional spaces so the modifier "( plane )" can be dropped in those situations.
In mathematical contexts, duality has numerous meanings, and although it isa very pervasive and important concept in ( modern ) mathematics ” and “ an important general theme that has manifestations in almost every area of mathematics ”, there is no single universally agreed definition that unifies all concepts of duality.
The order-reversing duality of partial orders can be extended to the concept of a dual category, the category formed by reversing all the arrows in a given category.
The same concept of planar graph duality may be generalized to graphs that are drawn in the plane but that do not come from a three-dimensional polyhedron, or more generally to graph embeddings on surfaces of higher genus: one may draw a dual graph by placing one vertex within each region bounded by a cycle of edges in the embedding, and drawing an edge connecting any two regions that share a boundary edge.
However, in many circumstances the opposite categories have no inherent meaning, which makes duality an additional, separate concept.
This sect distilled the general abstract duality of Zoroastrianism into a concept of manifest twins " born " of a monist ( first ) principle Zurvan " Time.

concept and here
Society here and abroad has been built around the dominating male -- even the Bible appears to endorse the concept.
The Buddhist concept of non-duality applies here.
It is here where it can be argued that it's impossible to get a higher or maximum concept of God since existence, as an entity itself, would be the totality of causality, every force to cause, every effect from cause, everything in and of existence, every governing rule or law, every property and attribute, and the very necessity and essence value of all there is, was, could be, or ever will be.
Ursula Franklin, in her 1989 " Real World of Technology " lecture, gave another definition of the concept ; it is " practice, the way we do things around here ".
Historians have remarked that here Darwin anticipated the modern concept of an ecological niche.
The usage here is not intended to be inclusive of the concept as used in The Theosophical Society.
Thus, the hierarchies, and the concept involved with lexicographic files, do not apply here the same way they do for nouns and verbs.
Another common theme is a single, large, fixed deduction ; the concept here is that this blanket deduction rolls up a myriad of ubiquitous, fixed, living costs and has the simplifying side-effect that many ( low income ) people will not even have to file tax returns.
While the concept of glory is mostly seen in the men who fight, here it is seen in Iphigenia.
What is new here is that the above expresses the requirement for associativity without any explicit reference to individual morphisms in the enriched category C — again, these diagrams are for morphisms in hom-category M, and not in C — thus making the concept of associativity of composition meaningful in the general case where the hom-objects C ( a, b ) are abstract, and C itself need not even have any notion of individual morphism.
The more modern view is that " chemical potential " should mean the same thing as " electrochemical potential ", – but that in some contexts there is a separate concept – called here the " internal chemical potential " – that is the energy left when the " purely electrostatic component of electrochemical potential " is subtracted out.
Sami also features dual pronouns, expressing the concept of " we two here " as contrasted to " we ".
The concept of document has been defined as “ any concrete or symbolic indication, preserved or recorded, for reconstructing or for proving a phenomenon, whether physical or mental " ( Briet, 1951, 7 ; here quoted from Buckland, 1991 ).
The limits of the concept of worship are quite elastic and theologians often describe excessive veneration of some artifact here on earth as shirk.
The statistical theory required to deal with the simple cases of directionality dealt with here, and more complicated ones, makes use of the concept of an unbiased test.
During the latter part of the 1950s, the foundations of algebraic geometry were being rewritten ; and it is here that the origins of the topos concept are to be found.
In the light of later work ( c. 1970 ), ' descent ' is part of the theory of comonads ; here we can see one way in which the Grothendieck school bifurcates in its approach from the ' pure ' category theorists, a theme that is important for the understanding of how the topos concept was later treated.
The essential concept here was that the way people perform is seen to correlate to the way that world occurs for them, and that future-based language could alter the way the future actually occurs for them.
Very much like in English, " The " article is used here to single out the noun as being the only one of its kind, " The god " ( the one and only ) or " God " with a capital G ( the concept of capital letters does not exist in Arabic ).
This concept can be traced back to suggestions in the rhythmic chapter of Henry Cowell's book New Musical Resources, but is also related here to inspirations from astrology, into which Gann was drawn by the writings of composer / astrologer Dane Rudhyar.
German Wiesel AWC | Wiesel, a related modern concept, seen here in the Ozelot anti-air version.
These authors often use rig for the concept defined here.
Davies and Dunstan here are at pains to illustrate to us just how fluid the concept of historical fact really is, and that it is not so distinct from the suppositions of mythic thinking.
The buildings at Cosanti are not intended to be examples of the concept of arcology, but many of its principles are at work here.

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