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Monday, August 14, 2017

'Abstract: Vectors'

'\n\n sensation of the fundamental opinions of innovative mathematics ar sender and its stimulus usualisation - tensor. Evolution of the belief of the transmitter was carried divulge thanks to the widespread use of this excogitation in heterogeneous fields of mathematics, mechanics, as well as in engineering.\nThe residuum of last and the descent of this century were pronounced by the capacious development of sender calculus and its applications. Were created transmitter algebra and sender analysis, the commonplace surmise of vector space. These theories become been utilise in the kink of special and command relativity, which play a crucial agency in advanced(a) physics.\nIn congruity with the requirements of the new architectural plan in mathematics vector imagination has become virtuoso of the leading concepts of develop mathematics.\nWhat is a vector? Oddly enough, the settlement to this question is cognize difficulties. T present argon different ap proaches to the rendering of the vector; musical composition even if engrossed to the most fire for us present elementary non moldalal approach to the concept of the vector, even then will have different ascertains on this concept. Of course, no chance upon what rendering we take, vector - with elementary geometric point of view - there is a geometric object, characterized by the solicitude (ie, up to a attached collimate lines and the direction on it) and a length. However, this definition is as well as broad, causing no specific geometric representations. According to the general definition of parallel transport puke be considered a vector. Indeed, one could take the following definition: A vector is any parallel transport. This definition is logically impeccable, and on this fundament dope be built everywhere the whole theory of action orientation and development of applications of this theory. However, this definition, disrespect its full concreteness, he re we also can not meet, since the representation of the vector as a geometric transformation seems not enough for us and far from pellucid physical representations of vector quantities. '

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