Exploring the Therapeutic Effects of Yoga and its Ability to Increase …

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작성자 Annett
댓글 0건 조회 9회 작성일 24-10-08 11:08

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I have allowed my mind to wander to the far reaches of my imagination, while keeping complete control over the balance and composure of my body. ↑ Prado ET, Raso V, Scharlach RC, Kasse CA. Hatha yoga on body balance. In Modern times the practice of Yoga is seen by the majority of people as only the movement of the body in different poses, Yoga Asanas, which is part of Hatha Yoga. Yoga is also an important part of Vajrayana and Tibetan Buddhist philosophy. Then chandali or tummo in Tibetan, which can also be called a kind of yoga, having relation to the hatha yoga of the tibetan buddhism. There is tibetan yoga, but that comes under the heading of hatha yoga, which is physical exercises, meant to expell and/or increase bodily energy. However, Hatha Yoga is not merely physical exercise, but a powerful way working with one’s energies to experience ultimate union with the cosmos. Finally, I would strongly recommend the book by André: Introduction aux motifs - this is has lots of background and "yoga", as well as precise statements about what is known and what one conjectures.

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There is also lots of stuff in the Motives volumes, edited by Jannsen, Kleiman and Serre, here is the Google Books page. For a precise statement about the universal property of Chow motives, see André, page 36: roughly (omitting some details), any sensible monoidal contravariant functor on the category of smooth projective varieties, with values in a rigid tensor category, factors uniquely over the category of Chow motives. If we had such a category, a suitable universal property would imply that there are realization functors again, now to "mixed" categories, for example mixed Hodge structures. For example, l-adic cohomology takes values in the category of l-adic vector spaces with Galois action, and Betti cohomology takes values in a suitable category of Hodge structures. The third key point is that Weil cohomology theories are always "ordinary" in some sense, i.e. in some framework of oriented cohomology theories they would correspond to the additive formal group law (see Lurie: Survey on elliptic cohomology).


It is not clear whether this category exists or not, but see Levine's survey above for a discussion of some attempts to construct it, by Nori and others. A really nice recent development is the work of Déglise and Cisinski, in which they construct these triangulated categories over very general base schemes (I think Voevodsky's original work was mainly focused on fields, at least he only proved nice properties over fields). We know how to construct the category of pure motives, but there is a choice involved, namely choosing an equivalence relation on algebraic cycles, see the article by Scholl above for more details. If the article appeared appropriate to the examination of the therapeutic effects of yoga, it was saved to a folder. For mixed motives, see this survey article of Levine. They are also presented very well in the survey of Levine. On more sophisticated levels, mantras are melodic phrases with spiritual interpretations. But that is more a practice of meditation, still called yoga, and so is much meditation, e.g. raj yoga, anu yoga, ati yoga, maha yoga. If it was just practiced like hinayana practices, e.g. being aware of sitting and so forth, it would do no harm.


Similarly, it seems like cohomology theories in general come in geometric/absolute pairs. We fix a base field, and consider the category of smooth projective varieties, and various cohomology functors on this category. In the classical literature, and in number theory, the geometric version is the most important, partly because it carries an action of the Galois group of the base field, and hence gives rise to Galois representations. The "absolute" theory here would be the same, but without base changing in the beginning. The standard way of explaining what motives are is to say that they form a "universal cohomology theory". The right notion of cohomology here seems to be axiomatized by some version of the Bloch-Ogus axioms. For many purposes, the most natural choice is rational equivalence, and the resulting notion of pure motives is usually called Chow motives. The realization functors would induce maps on Ext groups, and a suitable such map would be the Beilinson regulator, from some Ext groups in the category of mixed motives (i.e. motivic cohomology groups) to the some Ext groups which can be identified with Deligne-Beilinson cohomology. The second key point to mention is that the Weil cohomology groups come with "extra structure", such as Galois action or Hodge structure.



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