It means that excellence and well-roundedness naturally go together; that each of us — in principle, at least — can realize the "comprehensiveness and multiplicity," the "wholeness in manifoldness" that Nietzsche celebrated as the essence of human greatness.
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Bernhard Riemann was the first to do extensive work generalizing the idea of a surface to higher dimensions. The name manifold comes from Riemann's original German term, Mannigfaltigkeit, which William Kingdon Clifford translated as "manifoldness". In his Göttingen inaugural lecture, Riemann described the set of all possible values of a variable with certain constraints as a Mannigfaltigkeit, because the variable can have many values. He distinguishes between stetige Mannigfaltigkeit and diskrete Mannigfaltigkeit (continuous manifoldness and discontinuous manifoldness), depending on whether the value changes continuously or not.
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As continuous examples, Riemann refers to not only colors and the locations of objects in space, but also the possible shapes of a spatial figure. Using induction, Riemann constructs an n-fach ausgedehnte Mannigfaltigkeit (n times extended manifoldness or n-dimensional manifoldness) as a continuous stack of (n−1) dimensional manifoldnesses. Riemann's intuitive notion of a Mannigfaltigkeit evolved into what is today formalized as a manifold. Riemannian manifolds and Riemann surfaces are named after Bernhard Riemann.
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The word anekāntavāda is a compound of two Sanskrit words: anekānta and vāda. The word anekānta itself is composed of three root words, "an" (not), "eka" (one) and "anta" (end, side), together it connotes "not one ended, sided", "many-sidedness", or "manifoldness".Grimes, John (1996) p. 34 The word vāda means "doctrine, way, speak, thesis".
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Rule #6 It is forbidden to repeat the same melodic turn above a cantus firmus, especially if the cantus firmus contains that same repetition. Rule #7 Avoid two or more consecutive cadences of the same pitch even if cantus firmus allows it. Rule #8 In all counterpoint, try to achieve manifoldness and variety by altering measure, tempo, and cadences. Use syncopes, imitations, canons, and pauses.
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The main aim of the commentaries is to support this nondualistic (of Atman and Brahman) reading of the sruti. Reason is being used to support revelation, the sruti, the ultimate source of truth. Another question is how Brahman can create the world, and how to explain the manifoldness of phenomenal reality. By declaring phenomenal reality to be an 'illusion,' the primacy of Atman/Brahman can be maintained.
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Even number of intersections correspond to exterior points, and odd number of intersections correspond to interior points. The assumption of boundaries as manifold cell complexes forces any boundary representation to obey disjointedness of distinct primitives, i.e. there are no self-intersections that cause non- manifold points. In particular, the manifoldness condition implies all pairs of vertices are disjoint, pairs of edges are either disjoint or intersect at one vertex, and pairs of faces are disjoint or intersect at a common edge.
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Oh Yeah is a music centre located in Belfast, Northern Ireland, in the Cathedral Quarter. It was founded primarily to support young talented musicians and bands from Northern Ireland and its huge and growing music scene by providing help and promotion, technical equipment for rehearsing, recording, gigs and event organisation, performing space and releases of band compilations (Oh Yeah Sessions). The Oh Yeah music centre's genres are varying in its manifoldness of Alternative rock, Indie rock, Electronica, Post rock, Post punk, Crossover, Experimental rock and further musical stylistic ways and conceptions.
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Nowadays, the recovery of the Popular Retinue, which until then had been almost banished, the restoration of the thundering displays, the redemption of the manual tolling of the bells, the diffusion, spreading and improvement of the playing of the gralla and of the drum, the manifoldness of the traditional instruments as well as their application, are some of the peculiarities of the festivities of Santa Tecla that will be noticed when listening to the recordings that we hereby present. In short, the recovery of a city heritage which begins with the use of streets as a space for entertainment.
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He compares the changing of myths to the changing of clothes and writes that the Enlightenment was not a "striptease"; "mythonudism" is not possible. F. W. J. Schelling coined the term "new mythology" in "The Oldest Systematic Program of German Idealism", but showed an uneasiness with the myth of progress in his late works. The essay posits that myths can be harmful or wholesome: monomythical thinking—allowing only one story—is harmful because it causes narrative atrophy; conversely, polymythical thinking is a separation of powers, where different stories keep each other in check and the "manifoldness" of each individual can exist. According to Marquard, the chief example of a monomyth is that of world history as progress toward emancipation.
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Hong Kong: Centre of Buddhist Studies, University of Hong Kong, 2015, pp. 177–201. These authors describe specifically Vajrayana modes of the four smṛtyupasthānas, which have been adapted to the Vajrayana philosophy. These four "mantric" smṛtyupasthānas described by Mipham as summarized by Dorji Wangchuk as follows: > (1) Contemplating (blo bzhag pa) the physical bodies of oneself and others > as being characterized by primordial or intrinsic purity (dag pa), on the > one hand, and by emptiness (stong pa nyid), freedom from manifoldness (spros > bral), great homogeneity (mnyam pa chen po), and integrality (zung du ’jug > pa), on the other, is called kāyasmṛtyupasthāna. (2) Transforming > “conceptual constructions whose occurrence one feels/senses (or is aware > of)” (byung tshor gyi rtog pa) into gnosis characterized by great bliss (bde > ba chen po’i ye shes) is called vedanāsmṛtyupasthāna.
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The emergence of differential geometry as a distinct discipline is generally credited to Carl Friedrich Gauss and Bernhard Riemann. Riemann first described manifolds in his famous habilitation lecture before the faculty at Göttingen.B. Riemann (1867). He motivated the idea of a manifold by an intuitive process of varying a given object in a new direction, and presciently described the role of coordinate systems and charts in subsequent formal developments: : Having constructed the notion of a manifoldness of n dimensions, and found that its true character consists in the property that the determination of position in it may be reduced to n determinations of magnitude, ... – B. Riemann The works of physicists such as James Clerk Maxwell,Maxwell himself worked with quaternions rather than tensors, but his equations for electromagnetism were used as an early example of the tensor formalism; see .
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The historical antecedents of arts-based environmental education as it was developed in Finland go back to 1971, the year that the first European regional InSEA congress was held in that country. Finnish art educators had pooled their efforts to arrange this meeting with the overarching theme “Environmental Protection in Art Education.” Pirkko Pohjakallio is a specialist on multidisciplinary approaches to environmental education in the context of Finnish art education since the 1970s. Quoting Kauppinen (1972), she provides the rationale for the congress at the time: “One reason for making the theme was the wish to emphasize the manifoldness and diversity of our environmental problems – [they] are not purely biological, economic and social ones but also aesthetic ones, and are consequently part of art education, not only as separate subjects of study but also as integrated parts of other subjects dealing with our living environment” (Kauppinen,Kauppinen, H. (1972).
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While Jain philosophy claims that is it possible to achieve omniscience, absolute knowledge (Kevala Jnana), at the moment of enlightenment, their theory of anekāntavāda or 'many sided-ness', also known as the principle of relative pluralism, allows for a practical form of skeptical thought regarding philosophical and religious doctrines (for un- enlightened beings, not all-knowing arihants). According to this theory, the truth or the reality is perceived differently from different points of view, and that no single point of view is the complete truth. Jain doctrine states that, an object has infinite modes of existence and qualities and, as such, they cannot be completely perceived in all its aspects and manifestations, due to inherent limitations of the humans. Anekāntavāda is literally the doctrine of non-onesidedness or manifoldness; it is often translated as "non- absolutism". Syādvāda is the theory of conditioned predication which provides an expression to anekānta by recommending that epithet “Syād” be attached to every expression. pp.
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