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Use the "Golden Section" proportions in tetrasociology allowed to Alexey Stakhov to enter the term "Golden tetrasociology", with which we quite agree as it reflects the more high level of development of this theoretical sociology. Chebyshev was also a premier applied mathematician and a renowned inventor; his several inventions include the Chebyshev linkage, a mechanical device to convert rotational motion to straight-line motion.

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From 1983 to 1985 he was a Junior Research Fellow at All... Application of non-Newtonian calculus to functional analysis was made by Cengiz Türkmen and Feyzi Basar, both of Fatih University in Turkey. Then write your answer in the grid provided. Furthermore, Bashirov et al. [" Multiplicative calculus and its applications"] illustrated the usefulness of [the geometric] calculus with some interesting applications." - Feng Gu (Hangzhou Normal University in China) and Yeol-Je Cho (Gyeongsang National University in Korea); from their 2015 article [249]. "Bigeometric calculus - a modelling tool" - Mustafa Riza (Eastern Mediterranean University in North Cyprus) and Bugce Eminaga (Girne American University in Cyprus); from their 2014 article "Bigeometric calculus - a modelling tool" [178], which includes a new mathematical model for studying tumor therapy with oncolytic virus. "Bigeometric Runge-Kutta method is, at least for a particular set of initial value problems, superior with respect to accuracy and computation-time to the ordinary Runge-Kutta method." - Mustafa Riza (Eastern Mediterranean University in North Cyprus) and Bugce Eminaga (Girne American University in Cyprus); from their 2015 article "Bigeometric Calculus and Runge Kutta Method" [215], which includes new mathematical models (of the growth of cells, genes, bacteria, and viruses) for studying such things as tumor therapy with oncolytic virus and cell-cycle-specific cancer-chemotherapy. "While one problem can be easily expressed in one calculus, the same problem can not be expressed as easily [in another]." - Emine Misirli and Yusuf Gurefe, both of Ege University in Turkey; from their 2009 lecture [123]. "If non-Newtonian calculus is employed together with classical calculus in the formulations, then many of the complicated phenomena in physics or engineering may be analyzed more easily." - Ahmet Faruk Çakmak (Yıldız Technical University in Turkey) and Feyzi Basar (Fatih University in Turkey); from their 2014 article "Certain spaces of functions over the field of non-Newtonian complex numbers". [161] In this paper, the multiplicative least square method is introduced and is applied to integrals for the finite product representation of the positive functions.

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Even before the invention of the calculus of variations, Newton was doing difficult work in that field, e.g. his calculation of the "optimal bullet shape." This journal seeks to help teachers of geography, biology, the sciences, social science, economics etc. to see how statistical ideas can illuminate their work and to make proper use of statistics in their teaching. He teaches at the University of Ulster at Jordanstown, and his expertise includes vehicle dynamics and physics.

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Perhaps, an exclusive form of deductive logic rendered me blind to other forms (i.e., poetic, metaphorical, abductive, inductive, non-linear, dialectical). Approximately how much money would you have lost? £ Test Prep and Spiral Review 47. In each of these 'weighted calculi' a weight function and a weighted average play a central role. Convert the rate 22 gallons per year to quarts per month. ?? era! 4 qt 1 yr ^, ., , ■ r & • r • -^ To convert, multiply by conversion factors with those units. lyr 22 • 4 qt 12 mo 88 qt 12 mo 7.3 qt 1 mo I gal 12 mo Divide out like units.

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The pattern they follow looks like a modulating wave that changes its intonation and speed. The middle-aged Frobenius invented this after the aging Dedekind asked him for help in solving a key algebraic factoring problem. Development and use of probability and statistics for strategic decision making with applications. Kovalevskaya studied Abelian integrals and partial differential equations, producing the important Cauchy-Kovalevsky Theorem; her application of complex analysis to physics inspired Poincaré and others.

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They were asked to evaluate existing research in two key areas: low achievement in numeracy and effective teaching and assessment practices in number at Key Stages 1-3. In our view, the work proposed in (Grossman and Katz, 1972) stands as a foundation ... ." - Professors Marco Mora, Fernando Córdova-Lepe, and Rodrigo Del-Valle, all of Universidad Católica del Maule in Chile; from their article "A non-Newtonian gradient for contour detection in images with multiplicative noise", Pattern Recognition Letters, International Association for Pattern Recognition, Elsevier, 2012. "In our proseminar we'll learn some of the most exciting non-linear calculations and consider the applications for which they may be of particular interest.

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Investment banking careers involve gathering, analyzing and interpreting complex numerical and financial information, then assessing and predicting financial risks and returns in order to provide investment advice and recommendations to clients. Cantor's own attitude was expressed with "The essence of mathematics lies in its freedom." Bashirov (Eastern Mediterranean University). [176] From the Abstract to the article: "Theory and applications of [geometric] and [bigeometric] calculi have been evolving rapidly over the recent years.

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Sheffield was interested in finding a Brownian motion for surfaces. EXAMPLES The reciprocal of ^ is f. rectangle A parallelogram with four right angles, (p. 482) rectangulo Paralelogramo con cuatro angulos rectos. rectangular prism A polyhedron whose bases are rectangles and whose other faces are parallelograms, (p. 588) prisma rectangular Poliedro ciiyas bases son rectangulos y cuyas caras tienen forma de paralelogramo. ^2L. reflection A transformation of a figure that flips the figure across a line. (p. 496) regular polygon A polygon with congruent sides and angles. (p. 475) reflexion Transformacion que ocurre cuando se invierte una figura sobre una linea. poligono regular Pohgono con lados y angulos congruentes. regular pyramid A pyramid whose base is a regular polygon and whose lateral faces are all congruent, (p. 614) piramide regular Piramide que tiene un poligono regular como base y caras laterales congruentes. 1 relative frequency The frequency of a data value or range of data values divided by the total number of data values in the set. (p. 645) relatively prime Two numbers are relatively prime if their greatest common factor (GCF) is l.(p. 118) repeating decimal A decimal in which one or more digits repeat infinitely, (p. 122) frecuencia relativa La frecuencia de un valor o un rango de valores dividido por el numero total de los valores en el conjunto. primo relative Dos numeros son primos relatives si su maximo comiin divisor (MCD) es 1. decimal periodico Decimal en el que uno o mas digitos se repiten infmitamente. 8 and 15 are relatively prime. 0.757575... =0.75 rhombus A parallelogram wdth all sides congruent, (p. 482) rombo Paralelogramo en el que todos los lados son congruentes. right angle An angle that measures 90°. (p. 454) angulo recto Angulo que mide exactamente 90°.

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While classical geometry uses formulas to define a shape, fractal geometry uses iteration. It has turned out that most simple groups occur in families related to Lie groups. Polyhedra Jim Morey at University of Western Ontario in Canada made an interesting java tool called Archimedian Kaleidoscope and Archimedean confection for manipulating polyhedra. I just could not convince myself that there was nothing wrong with our work. In other words, random numbers generated over and over using Barnsley's Fern formula ultimately produce a unique fern-shaped object.

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As our work has shown, there is reason to believe that there are important synergies of economics, resource conservation, psychological health, and other benefits, which are only provided by pedestrian networks that have this key property of fractal loading. While mathematics is grounded in set theory, set theory can permit more than one definition of the same mathematical object. Well, a man named Hausdorff in 1919 introduced a number which was just a mathematical joke, and I found that this number was a good measurement of roughness.