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Involution (other)
Involution may refer to: * Involute, a construction in the differential geometry of curves * '' Agricultural Involution: The Processes of Ecological Change in Indonesia'', a 1963 study of intensification of production through increased labour inputs * Involution (mathematics), a function that is its own inverse * Involution (medicine), the shrinking of an organ (such as the uterus after pregnancy) * Involution (esoterism), several notions of a counterpart to evolution * Involution (Meher Baba) ''God Speaks: The Theme of Creation and Its Purpose'' is the principal book by Meher Baba, and the most significant religious text used by his followers. It covers Meher Baba's view of the process of creation and its purpose and has been in print ..., the inner path of the human soul to the self * Involution algebra, a *-algebra: an algebra equipped with an involution * ''Involution'' (album), a 1998 album by multi-instrumentalist Michael Marcus, with the Jaki Byard trio * ''Involution'' ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Involute
In mathematics, an involute (also known as an evolvent) is a particular type of curve that is dependent on another shape or curve. An involute of a curve is the locus of a point on a piece of taut string as the string is either unwrapped from or wrapped around the curve. It is a class of curves coming under the roulette family of curves. The evolute of an involute is the original curve. The notions of the involute and evolute of a curve were introduced by Christiaan Huygens in his work titled '' Horologium oscillatorium sive de motu pendulorum ad horologia aptato demonstrationes geometricae'' (1673). Involute of a parameterized curve Let \vec c(t),\; t\in _1,t_2 be a regular curve in the plane with its curvature nowhere 0 and a\in (t_1,t_2), then the curve with the parametric representation \vec C_a(t)=\vec c(t) -\frac\; \int_a^t, \vec c'(w), \; dw is an ''involute'' of the given curve. Adding an arbitrary but fixed number l_0 to the integral \Bigl(\int_a^t, \ve ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
The Processes Of Ecological Change In Indonesia
''The'' () is a grammatical article in English, denoting persons or things that are already or about to be mentioned, under discussion, implied or otherwise presumed familiar to listeners, readers, or speakers. It is the definite article in English. ''The'' is the most frequently used word in the English language; studies and analyses of texts have found it to account for seven percent of all printed English-language words. It is derived from gendered articles in Old English which combined in Middle English and now has a single form used with nouns of any gender. The word can be used with both singular and plural nouns, and with a noun that starts with any letter. This is different from many other languages, which have different forms of the definite article for different genders or numbers. Pronunciation In most dialects, "the" is pronounced as (with the voiced dental fricative followed by a schwa) when followed by a consonant sound, and as (homophone of the archaic pron ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Involution (mathematics)
In mathematics, an involution, involutory function, or self-inverse function is a function that is its own inverse, : for all in the domain of . Equivalently, applying twice produces the original value. General properties Any involution is a bijection. The identity map is a trivial example of an involution. Examples of nontrivial involutions include negation (x \mapsto -x), reciprocation (x \mapsto 1/x), and complex conjugation (z \mapsto \bar z) in arithmetic; reflection, half-turn rotation, and circle inversion in geometry; complementation in set theory; and reciprocal ciphers such as the ROT13 transformation and the Beaufort polyalphabetic cipher. The composition of two involutions ''f'' and ''g'' is an involution if and only if they commute: . Involutions on finite sets The number of involutions, including the identity involution, on a set with elements is given by a recurrence relation found by Heinrich August Rothe in 1800: :a_0 = a_1 = 1 and a_n = a_ + ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Involution (medicine)
Involution is the shrinking or return of an organ to a former size. At a cellular level, involution is characterized by the process of proteolysis of the basement membrane (basal lamina), leading to epithelial regression and apoptosis, with accompanying stromal fibrosis. The consequent reduction in cell number and reorganization of stromal tissue leads to the reduction in the size of the organ. Examples Thymus The thymus continues to grow between birth and puberty and then begins to atrophy, a process directed by the high levels of circulating sex hormones. Proportional to thymic size, thymic activity (T cell output) is most active before puberty. Upon atrophy, the size and activity are dramatically reduced, and the organ is primarily replaced with fat. The atrophy is due to the increased circulating level of sex hormones, and chemical or physical castration of an adult results in the thymus increasing in size and activity. Uterus Involution is the process by which the uterus is ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Involution (esoterism)
The term involution has various meanings. In some instances it refers to a process prior to evolution which gives rise to the cosmos, in others it is an aspect of evolution, and in still others it is a process that follows the completion of evolution in the human form. According to esoteric cosmology In theosophy, anthroposophy and Rosicrucianism, involution and evolution are part of a complex sequence of cosmic cycles, called Round. When the universe attains a stage of sufficient density, the individual spirit is able to descend and participate in the evolution. Involution thus refers to the incarnation of spirit in an already established matter, the necessary prerequisite of evolution: That period of time devoted to the attainment of self-consciousness and the building of the vehicles through which the spirit in man manifests, is called ''involution''. Its purpose is to slowly carry life lower and deeper into denser and denser matter for the building of forms, till the nadir ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Involution (Meher Baba)
''God Speaks: The Theme of Creation and Its Purpose'' is the principal book by Meher Baba, and the most significant religious text used by his followers. It covers Meher Baba's view of the process of creation and its purpose and has been in print continuously since 1955. Overview ''God Speaks'' is Meher Baba's most significant published book. Kenneth Lux, Ph.D. writes: "''God Speaks'' is Meher Baba's major book and it is famously difficult. But not only is it Baba's major book, it is his only book. All other books by Meher Baba, such as the '' Discourses'' and ''Listen Humanity'', are not written as books, as ''God Speaks'' is, but are collections of essays and messages." While Meher Baba declared "I come not to teach, but to awaken", and did not prescribe intellect as a path to perfection, in ''God Speaks'' Meher Baba goes deeper into the subject of metaphysics than other Indian spiritual masters. In his book ''Mastery of Consciousness'', Allan Y. Cohen, Ph.D. writes that Meher ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Involution Algebra
In mathematics, and more specifically in abstract algebra, a *-algebra (or involutive algebra) is a mathematical structure consisting of two involutive rings and , where is commutative and has the structure of an associative algebra over . Involutive algebras generalize the idea of a number system equipped with conjugation, for example the complex numbers and complex conjugation, matrices over the complex numbers and conjugate transpose, and linear operators over a Hilbert's space and Hermitian adjoints. However, it may happen that an algebra admits no involution. Definitions *-ring In mathematics, a *-ring is a ring with a map that is an antiautomorphism and an involution. More precisely, is required to satisfy the following properties: * * * * for all in . This is also called an involutive ring, involutory ring, and ring with involution. The third axiom is implied by the second and fourth axioms, making it redundant. Elements such that are called ''self-adjoi ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Involution (album)
''Involution'' is an album by multi-instrumentalist Michael Marcus, with the Jaki Byard trio. Background This was Marcus's third album for Justin Time Records. Recording and music The album was recorded in 1998. The tracks are a mix of Marcus originals and standards that are played relatively infrequently.Loewy, Stev"Michael Marcus – Involution" AllMusic. Retrieved June 27, 2017. Marcus plays a variety of saxophones: the stritch (a form of soprano), saxello (a straight alto), and a straight tenor. Release The album was released by Justin Time on March 30, 1998. Justin Time Records. Retrieved June 27, 2017. Reception The reviewer commented that this album was more conventional in style than many o ...[...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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