Reference


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In each of these 'weighted calculi' a weight function and a weighted average play a central role. Furthermore, unlike the classical derivative, the bigeometric derivative is scale invariant (or scale free), i.e., it is invariant under all changes of scale (or unit) in function arguments and in function values. In May of 1980, Bob and I met Professor Meginniss at Purdue University in Indiana when he presented his article to the American Statistical Association.

Digital Computer Design: Logic, Circuitry, and Synthesis


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Mandelbrot was likewise seen as making little sense in his adopted homeland, since French mathematics was governed for decades by the accomplished Bourbaki group, led by André Weil — brother of the philosopher Simone Weil — and other trendsetters. Furthermore, in the geometric calculus and in the bigeometric calculus, the derivative and integral are both multiplicative. (Please see the Multiplicative Calculus section of this website.) Of course, in the classical calculus the linear functions are the functions having a constant derivative.

How to Solve Word Problems in Algebra, (Proven Techniques


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Bashirov (the first and third authors are from Girne American University in Cyprus/Turkey, the second and fourth from Eastern Mediterranean University in North Cyprus); from the Abstract to their 2013 article [176]. "Grossman and Katz [Non-Newtonian Calculus] mention several alternative calculi including: geometric, anageometric, bigeometric, quadratic, anaquadratic, biquadratic, harmonic, anaharmonic, and biharmonic. ... Additive and multiplicative differentials and integrals of dialectical judgements", Journal of Theoretical Dialectics-Physics-Mathematics, Issue [B-01], Dialectical Academy in Russia-Belarus, 2005. [257] Clement Boateng Ampadu. "Fixed point theorems in multiplicative soft metric spaces and multiplicative quasi-dislocated soft metric spaces", American Mathematical Society meeting, California State University at Fullerton, 24 October 2015. [258] Marek Rybaczuk. "Fractal Models of Defects Evolution", 2004 South African Conference on Applied Mechanics (Johannesburg, South Africa), January of 2004. [259] Amelia Correa and Romar Correa. "Accounting for Financialization: Stock-Flow-Consistent Political Economy", World Review of Political Economy, Volume 6, Number 2, Pluto Journals, DOI: 10.13169/worlrevipolieco, 2015. [260] Hui-hui Zheng and Feng Gu. "Multiplicative metric space two pairs self-mapping common fixed-point theorem" (乘积度量空间中两对自映象的公共不动点定理), Journal of Hangzhou Normal University (Natural Science), Volume 14, Number 4, doi:10.3969/j, issn.1674-232X, 2015. [261] K.

The Mathematics Calendar 2009: Glimpses Below the Surfaces



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Both articles were presented at the SPIE conference Medical Imaging 2016: Physics of Medical Imaging in February/March of 2016. (SPIE, an affiliate of the American Institute of Physics, is an international society for optical engineering with more than 18,000 members.) The geometric calculus was used in an article about radiation therapy by T. Incidentally Bob and I were both graduate students at the Yale University mathematics department, although Bob preceded me by about twenty years.

The Penguin Dictionary of Curious and Interesting Numbers


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By August of 1967, we had produced a table, which we called the CHART, on which we compared the concepts of the classical calculus with the corresponding concepts of the geometric calculus and the corresponding concepts of our most general (up to that time) non-Newtonian calculus. Bashirov and Sajedeh Norozpour, both from Eastern Mediterranean University in North Cyprus; from their 2016 article [293]. "It is known that non-Newtonian calculus models real life problems more accurately."

Primary School 'KS2 (Key Stage 2) Maths - Integers - ...


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Hence, many nonlinear functions can be represented by well-behaved exponential functions. I Cuza". [56] Publicationes Mathematicae, Kossuth Lajos Tudományegyetem: Matematikai Intézet. [57] Nieuw Tijdschrift Voor Wiskunde, P. Ensure mathematical competence and confidence in students. Kreidik of the Dialectical Academy in Russia-Belarus. Now fractal geometry is being used practically everywhere, e.g., in biology, chemistry, physics, economics, engineering, psychology, physiology, and medicine.

Handbook of Probability (Wiley Handbooks in Applied



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Non-Newtonian calculus was used by Xiaohong Gong, Yali Zhou, Hao Zhou, and Yinfei Zheng (all from Zhejiang University in Hangzhou, China) in an article on ultrasound imaging. [211] From that article: "The proposed technique combines a new multiplicative gradient operator of non-Newtonian type with the traditional Canny operator to generate the initial edge map, .... I was happy to find out that he and Rosalie were doing well. I must have been concentrating intensely on my work because I have no memory of the city of Poughkeepsie or the sights we passed during that trip.

Number Theory and System for Fourth Graders


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The path used by require to search for a Lua loader. No more than a working knowledge of [classical] calculus is assumed." - David Pearce MacAdam, Cape Cod Community College, USA; from his 1973 review of Non-Newtonian Calculus [100]. "After a long period of silence in the field of non-Newtonian calculus introduced by Grossman and Katz [Non-Newtonian Calculus] in 1972, the field experienced a revival with the mathematically comprehensive description of the geometric calculus by Bashirov et al. [2], which initiated a kick-start of numerous publications in this field." - 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]. "Grossman and Katz have shown that it is possible to create infinitely many calculi independently.

Lecture Notes on Mathematical Olympiad Courses: For Senior


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I have a vague memory of being in the back seat of Bob's car, heading west on the Massachusetts Turnpike. University Course: "Analysis beyond Newton and Leibniz", Saarland University, Summer 2012. [107] Ahmet Faruk Çakmak. "Some new studies on bigeometric calculus", International Conference on Applied Analysis and Algebra, Yıldız Technical University, Istanbul, Turkey, 2011. [108] Sergey P. Are you ready to have the top scientists in your field criticizing your work in journals and dissing you at meetings?

The structure of number systems (Teachers' mathematics



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Reidel Publishing Company, Volume 26, page 181, 1973. [75] Mathematical Education, India University Grants Commission, Volume 2, 1985. [76] Institute of Mathematical Statistics Bulletin, Institute of Mathematical Statistics, Volumes 1-2, 1972. [77] Search, Australian & New Zealand Association for the Advancement of Science (ANZAAS), Volume 3, page 457, 1972. [78] Ali Uzer. "Multiplicative type complex calculus as an alternative to the classical calculus", Computers & Mathematics with Applications, DOI:10.1016/j.camwa.2010.08.089, Elsevier, 2010. [79] Praxis der Mathematik, Aulis Verlag Deubner, Volume 23, page 94, 1981. [80] Indian Journal of Theoretical Physics, Institute of Theoretical Physics (India), Volume 31, page 176, 1983. [81] Economic Books: Current Selections, University of Pittsburgh, Department of Economics, Volume 9, page 29, 1982. [82] Diana Andrada Filip and Cyrille Piatecki. "A non-Newtonian examination of the theory of exogenous economic growth", hal.archives-ouvertes.fr/hal-00945781, CNCSIS - UEFISCSU (project number PNII IDEI 2366/2008) and Laboratoire d’Economie d’Orléans (LEO), Mathematica Aeterna, Volume 4, Number 2, Hilaris, 2014. [83] Physique au Canada, Canadian Association of Physicists, Volumes 27-28, page 88, 1971. [84] Emine Misirli and Yusuf Gurefe. "Multiplicative Adams Bashforth–Moulton methods", Numerical Algorithms, DOI: 10.1007/s11075-010-9437-2, Volume 57, Number 4, pages 425 - 439, Springer, 2011. [85] James D.

World of Mathematics