• A textbook on the method of least squares

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    The Predator-Prey Model: Do We Live in a Volterra World?, page 246, ISBN 0387818480, Springer, 1986. [26] R. It opens the question to know if there are major fields of economic analysis which can be profoundly re-thought in the light of this discovery." - Diana Andrada Filip (Babes-Bolyai University of Cluj-Napoca in Romania) and Cyrille Piatecki (Orléans University in France); from their 2014 article [82]. "In this paper, after a brief presentation of [the geometric] calculus, we try to show how it could be used to re-explore from another perspective classical economic theory, more particularly economic growth and the maximum-likelihood method from statistics." - Diana Andrada Filip (Babes-Bolyai University of Cluj-Napoca in Romania) and Cyrille Piatecki (Orléans University in France); from their 2014 article [181]. "... [non-Newtonian calculus] could help to acquire new insight on classical subjects, or solve directly some problems which could only be reached by approximations." - Diana Andrada Filip (Babes-Bolyai University of Cluj-Napoca in Romania) and Cyrille Piatecki (Orléans University in France); from their 2014 article [181]. "The double-entry bookkeeping promoted by Luca Pacioli in the fifteenth century could be considered a strong argument in behalf of the multiplicative calculus, which can be developed from the Grossman and Katz non-Newtonian calculus concept." (The expression "multiplicative calculus" refers here to the geometric calculus.) - Diana Andrada Filip (Babes-Bolyai University of Cluj-Napoca in Romania) and Cyrille Piatecki (Orléans University in France); from their 2014 article [149]. "The results of this study are also expected to help researchers, practitioners, economists, business managers, and cost and managerial accountants to understand how to construct a multiplicative based learning curve to improve such decisions as pricing, profit planning, capacity management, and budgeting." - Hasan Özyapıcı (Eastern Mediterranean University in Cyprus), İlhan Dalcı (Eastern Mediterranean University in Cyprus), and Ali Ozyapici (Cyprus International University); from their article "Integrating accounting and multiplicative calculus: an effective estimation of learning curve". [290] (The expression "multiplicative calculus" refers here to the geometric calculus.) "This work is aimed to show that various problems from different fields can be modeled more efficiently using [geometric] calculus, in place of Newtonian calculus. ...
  • Schaum's Outline of Mathematica, 2ed (Schaum's Outlines)

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    In this study it becomes evident that the [geometric] calculus methodology has some advantages over [classical] calculus in modeling some processes in areas such as actuarial science, finance, economics, biology, demographics, etc." One of the striking results of the proposed method is that the rate of convergence and the range of initial values are considerably larger compared to the original method." Such is the case with the invention of general algebra [and] with the differential calculus ....
  • Secondary School 'KS4 (Key Stage 4) - 'GCSE' - Maths -

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    This guide contains a short list of math vocabulary words that show up time and again on the SAT. After each question, the app appropriately chooses the next question. From that article: "We therefore propose geometric, rather than arithmetic, averaging of the M100 component across subjects and suggest a novel and superior normalization procedure. ... Totally 'out there' in scope, it appears genuine and valid."
  • Consumer Math, Teacher's Edition, 2nd Edition (2 Books)

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    Mathematicians who feel that their results are of importance to scientists and engineers, but who find little interest among those workers for their results, might consider presenting their work as Grossman and Katz have done. They had both helped with Mary Dolciani's textbooks for SMSG. They do not reserve it solely for examples like yours but use it across the board (we rarely see ‘mathematics’ used at all).
  • Handbook of Mathematics

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    Such conceptions unite, as it were, into an organic whole countless problems which otherwise would remain isolated and require for their separate solution more or less application of inventive genius." - Carl Friedrich Gauss, as quoted in Carl Friedrich Gauss: Werke, Volume 8, page 298; and as quoted in Robert Edouard Moritz's book Memorabilia Mathematica or The Philomath's Quotation Book, quotation #1215 (1914). "But if some mind very different from ours were to look upon some property of some curved line as we do on the evenness of a straight line, he would not recognize as such the evenness of a straight line; nor would he arrange the elements of his geometry according to that very different system, and would investigate quite other relationships as I have suggested in my notes. "We fashion our geometry on the properties of a straight line because that seems to us to be the simplest of all.
  • A History of Mathematics

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    Suleiman. "Common fixed points of locally contractive mappings in multiplicative metric spaces with application", International Journal of Mathematics and Mathematical Sciences, Volume 2015 (2015), Article ID 218683, http://dx.doi.org/10.1155/2015/218683, Hindawi Publishing Corporation, 2015. [215] Mustafa Riza and Bugce Eminaga. "Bigeometric Calculus and Runge Kutta Method", arXiv.org, Cornell University, arXiv:1402.2877v2, 2015. [216] Diana Andrada Filip and Cyrille Piatecki. "In defense of a non-Newtonian economic analysis through an accounting paradigm", World Economics Association, February of 2015. [217] Ahmet Faruk Cakmak and Feyzi Basar. “Some sequence spaces and matrix transformations in multiplicative sense”, TWMS Journal of Applied and Engineering Mathematics, Volume 6, Number 1, pages 27-37, 2015. [218] R.
  • Measurements for Sixth Graders

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    Jane and I gave up our positions in the mathematics department at the University of Massachusetts Lowell, and moved to Florida. Making Evidence-Based Claims Units – ELA / Literacy Lessons – Grades 6-12 · Common Core. Gets an integer that is greater than or equal to the specified decimal number. Product representation produces an accurate representation of signals, especially where exponentials occur. For example, if we combine the speed v n times, the result is The previous discussion only concerned itself with the case when both velocities v and u were aligned along the x-axis; the y and z directions were ignored.
  • Seminarie Brobaki

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    They constructed a comprehensive family of calculi, including the Newtonian (or Leibnizian) calculus, the geometric calculus, the bigeometric calculus, and infinitely-many other calculi. ... Those four professors and some of their colleagues are now pursuing applications of NNC. In each of these two calculi, the use of multiplication/division to combine/compare numbers is crucial. Averages: A New Approach, ISBN 0977117049, 1983. [8] ===================================================================================================================================================== Appendix 1 Contentsf Home Multiplicative Calculus Brief History Applications Citations Reviews Comments Quotations References Links/Reading Appendix 1 Appendix 2 Appendix 3 Dedication My Response to Some Critics, by Michael Grossman It's an interesting fact that in any given non-Newtonian calculus, the derivative and integral can be expressed in terms of the classical derivative and classical integral, respectively (Non-Newtonian Calculus [15], page 31).
  • New National Framework Mathematics 9 Core Pupil's Book

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    Bashirov. "On line integrals and double multiplicative integrals", TWMS Journal of Applied and Engineering Mathematics, Volume 3, Number 1, pages 103 - 107, 2013. [146] Wojbor Woyczynski. "Fractional calculus for random fractals", seminar at Case Western Reserve University on 03 April 2013. [147] P. Reaction to Wegener's theory was almost uniformly hostile, and often exceptionally harsh and scathing ... ." - from the article "Alfred Wegener (1880-1930)" at the website of the University of California Museum of Paleontology. "Nikola Tesla was one of the greatest electrical inventors who ever lived. ...
  • 35 Detailed Examples  of U-Substitution in Integrals: Plus 8

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    The contextual help is always available and contains lots of examples. Examples have been given in the context of cardiac strain analysis and diffusion tensor imaging to illustrate the relevance of multiplicative calculus in biomedical image analysis, and to support our recommendation for further investigation into practical as well as fundamental issues." (The expression "multiplicative calculus" refers here to the geometric calculus.) In Professor Florack's article [96] he states: "Multiplicative calculus provides a natural framework in problems involving positive images and positivity preserving operators.