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Journal articles on the topic 'Theory, Elementary'

Author: Grafiati

Published: 4 June 2021

Last updated: 1 February 2022

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1

Choksi, Pinal. "Elementary Theory of Wavelets and Filter Bank." International Journal of Trend in Scientific Research and Development Volume-2, Issue-4 (June 30, 2018): 571–76. http://dx.doi.org/10.31142/ijtsrd12997.

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2

Shiu, P., Gareth A. Jones, and J. Mary Jones. "Elementary Number Theory." Mathematical Gazette 82, no. 495 (November 1998): 534. http://dx.doi.org/10.2307/3619931.

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3

Grosswald, Emil, Charles Vanden Eynden, and Kenneth H. Rosen. "Elementary Number Theory." American Mathematical Monthly 96, no. 5 (May 1989): 460. http://dx.doi.org/10.2307/2325169.

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4

Haigh, John, H. Chernoff, and L. E. Moses. "Elementary Decision Theory." Journal of the Royal Statistical Society. Series A (Statistics in Society) 151, no. 1 (1988): 224. http://dx.doi.org/10.2307/2982197.

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5

Veldman, Wim, and Frank Waaldijk. "Some elementary results in intuitionistic model theory." Journal of Symbolic Logic 61, no. 3 (September 1996): 745–67. http://dx.doi.org/10.2307/2275782.

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AbstractWe establish constructive refinements of several well-known theorems in elementary model theory. The additive group of the real numbers may be embedded elementarily into the additive group of pairs of real numbers, constructively as well as classically.

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6

Clark, Jeffrey. "Elementary Gröbner Basis Theory." Missouri Journal of Mathematical Sciences 16, no. 2 (May 2004): 82–87. http://dx.doi.org/10.35834/2004/1602082.

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7

Jenkins, W. M. "Elementary theory of structures." Engineering Structures 19, no. 4 (April 1997): 336. http://dx.doi.org/10.1016/s0141-0296(97)83364-0.

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8

Dries, Lou van den. "On the elementary theory of restricted elementary functions." Journal of Symbolic Logic 53, no. 3 (September 1988): 796–808. http://dx.doi.org/10.2307/2274572.

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As a contribution to definability theory in the spirit of Tarski's classical work on (R, <, 0, 1, +, ·) we extend here part of his results to the structureHere exp ∣[0, 1] and sin ∣[0, π] are the restrictions of the exponential and sine function to the closed intervals indicated; formally we identify these restricted functions with their graphs and regard these as binary relations on R. The superscript “RE” stands for “restricted elementary” since, given any elementary function, one can in general only define certain restrictions of it in RRE.Let (RRE, constants) be the expansion of RRE obtained by adding a name for each real number to the language. We can now formulate our main result as follows.Theorem. (RRE, constants) is strongly model-complete.This means that every formula ϕ(X1, …, Xm) in the natural language of (RRE, constants) is equivalent to an existential formulawith the extra property that for each x ∈ Rm such that ϕ(x) is true in RRE there is exactly one y ∈ Rn such that ψ(x, y) is true in RRE. (Here ψ is quantifier free.)

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9

Perkins, Walton A. "Composite Photon Theory versus Elementary Photon Theory." Journal of Modern Physics 05, no. 18 (2014): 2089–105. http://dx.doi.org/10.4236/jmp.2014.518205.

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10

Buckley, J. J. "Elementary queueing theory based on possibility theory." Fuzzy Sets and Systems 37, no. 1 (August 1990): 43–52. http://dx.doi.org/10.1016/0165-0114(90)90062-b.

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11

Tuckwell, H. C. "Elementary Applications of Probability Theory." Biometrics 51, no. 2 (June 1995): 797. http://dx.doi.org/10.2307/2532975.

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12

Little, Lewis E. "The Theory of Elementary Waves." Physics Essays 9, no. 1 (March 1996): 100–134. http://dx.doi.org/10.4006/1.3029212.

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13

Kharlab, V. D. "To the elementary bending theory." Вестник гражданских инженеров 15, no. 3 (2018): 73–76. http://dx.doi.org/10.23968/1999-5571-2018-15-3-73-76.

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14

Schwarzenberger, R. L. E., Gerard Looss, and Daniel Joseph. "Elementary Stability and Bifurcation Theory." Mathematical Gazette 75, no. 473 (October 1991): 391. http://dx.doi.org/10.2307/3619547.

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15

Abbott, Steve, and Melvyn B. Nathanson. "Elementary Methods in Number Theory." Mathematical Gazette 84, no. 501 (November 2000): 552. http://dx.doi.org/10.2307/3620807.

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16

Hagwood, Charles. "Elementary Applications of Probability Theory." Technometrics 32, no. 1 (February 1990): 112–13. http://dx.doi.org/10.1080/00401706.1990.10484620.

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17

Herzberg, Frederik. "Elementary non-Archimedean utility theory." Mathematical Social Sciences 58, no. 1 (July 2009): 8–14. http://dx.doi.org/10.1016/j.mathsocsci.2008.12.009.

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18

Barnes, J. W., B. Dimova, S. P. Dokov, and A. Solomon. "The theory of elementary landscapes." Applied Mathematics Letters 16, no. 3 (April 2003): 337–43. http://dx.doi.org/10.1016/s0893-9659(03)80054-x.

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19

AVIGAD, JEREMY. "Number theory and elementary arithmetic†." Philosophia Mathematica 11, no. 3 (October 1, 2003): 257–84. http://dx.doi.org/10.1093/philmat/11.3.257.

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20

Ray, W. D., and H. C. Tuckwell. "Elementary Applications of Probability Theory." Journal of the Royal Statistical Society. Series A (Statistics in Society) 152, no. 2 (1989): 273. http://dx.doi.org/10.2307/2982947.

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21

Wu, Xiangyao, Benshan Wu, Siqi Zhang, Xiaojing Liu, Yiheng Wu, Jiping Liu, Xiaoru Zhang, et al. "Photon and Elementary Particles Theory." Journal of Modern Physics 08, no. 11 (2017): 1850–67. http://dx.doi.org/10.4236/jmp.2017.811109.

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22

Wilson, Jacky, and H. C. Tuckwell. "Elementary Applications of Probability Theory." Statistician 40, no. 1 (1991): 115. http://dx.doi.org/10.2307/2348239.

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23

Ivanchin, Alexander. "Electrostatic Theory of Elementary Particles." World Journal of Nuclear Science and Technology 07, no. 04 (2017): 232–51. http://dx.doi.org/10.4236/wjnst.2017.74019.

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24

Malinin, N. N. "Elementary theory of hot rolling." International Journal of Mechanical Sciences 27, no. 1-2 (January 1985): 39–44. http://dx.doi.org/10.1016/0020-7403(85)90064-5.

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25

Hüttemann, T., and Z. Zhang. "An elementary description of K1(R) without elementary matrices." Algebra and Discrete Mathematics 30, no. 1 (2020): 79–82. http://dx.doi.org/10.12958/adm1568.

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Let R be a ring with unit. Passing to the colimit with respect to the standard inclusions GL(n,R)→GL(n+1,R) (which add a unit vector as new last row and column) yields, by definition, the stable linear group GL(R); the same result is obtained, up to isomorphism, when using the `opposite' inclusions (which add a unit vector as new first row and column). In this note it is shown that passing to the colimit along both these families of inclusions simultaneously recovers the algebraic K-group K1(R)=GL(R)/E(R) of R, giving an elementary description that does not involve elementary matrices explicitly.

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26

van den Herik, H. J., and I. S. Herschberg. "Elementary Theory Improved, A Conjecture Refuted." ICGA Journal 8, no. 3 (September 1, 1985): 141–49. http://dx.doi.org/10.3233/icg-1985-8303.

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27

Wagstaff, S. S., and Kenneth H. Rosen. "Elementary Number Theory and Its Applications." Mathematics of Computation 48, no. 177 (January 1987): 438. http://dx.doi.org/10.2307/2007902.

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28

Naumowicz, Adam. "Elementary Number Theory Problems. Part I." Formalized Mathematics 28, no. 1 (April 1, 2020): 115–20. http://dx.doi.org/10.2478/forma-2020-0010.

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SummaryIn this paper we demonstrate the feasibility of formalizing recreational mathematics in Mizar ([1], [2]) drawing examples from W. Sierpinski’s book “250 Problems in Elementary Number Theory” [4]. The current work contains proofs of initial ten problems from the chapter devoted to the divisibility of numbers. Included are problems on several levels of difficulty.

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29

Baylis, John, and Kenneth H. Rosen. "Elementary Number Theory and Its Applications." Mathematical Gazette 72, no. 460 (June 1988): 162. http://dx.doi.org/10.2307/3618965.

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30

Zivaljevic, Rade T. "Infinitesimals, Microsimplexes and Elementary Homology Theory." American Mathematical Monthly 93, no. 7 (August 1986): 540. http://dx.doi.org/10.2307/2323028.

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31

Mačys, Juozas Juvencijus. "Elementary theory of cubics and quartics." Lietuvos matematikos rinkinys 58, A (December 15, 2017): 16–22. http://dx.doi.org/10.15388/lmr.a.2017.04.

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32

Kahoui, M'hammed El. "An elementary approach to subresultants theory." Journal of Symbolic Computation 35, no. 3 (March 2003): 281–92. http://dx.doi.org/10.1016/s0747-7171(02)00135-9.

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33

Csenki, Attila. "Independent events in elementary probability theory." International Journal of Mathematical Education in Science and Technology 42, no. 5 (April 18, 2011): 685–91. http://dx.doi.org/10.1080/0020739x.2011.562313.

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34

Živaljević, Rade T. "Infinitesimals, Microsimplexes and Elementary Homology Theory." American Mathematical Monthly 93, no. 7 (August 1986): 540–44. http://dx.doi.org/10.1080/00029890.1986.11971878.

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35

Moriyasu, K., and Joseph Dreitlein. "An Elementary Primer for Gauge Theory." American Journal of Physics 53, no. 8 (August 1985): 798. http://dx.doi.org/10.1119/1.14333.

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36

Gayrard, Véronique, and Gérard Ben Arous. "Elementary potential theory on the hypercube." Electronic Journal of Probability 13 (2008): 1726–807. http://dx.doi.org/10.1214/ejp.v13-527.

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37

Schmid, G. B. "Chaos Theory and Schizophrenia: Elementary Aspects." Psychopathology 24, no. 4 (1991): 185–98. http://dx.doi.org/10.1159/000284713.

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38

Pitt, Loren D. "Book Review: Radically elementary probability theory." Bulletin of the American Mathematical Society 20, no. 2 (April 1, 1989): 240–44. http://dx.doi.org/10.1090/s0273-0979-1989-15779-0.

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39

Ohta, Y., J. Satsuma, D. Takahashi, and T. Tokihiro. "An Elementary Introduction to Sato Theory." Progress of Theoretical Physics 80, no. 4 (October 1, 1988): 742. http://dx.doi.org/10.1143/ptp.80.742.

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40

Cabbolet, Marcoen J. T. F. "Corrigendum to the Elementary Process Theory." Annalen der Physik 528, no. 7-8 (April 29, 2016): 626–27. http://dx.doi.org/10.1002/andp.201600077.

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41

Cabbolet, M. J. T. F. "Addendum to the Elementary Process Theory." Annalen der Physik 523, no. 12 (November 4, 2011): 990–94. http://dx.doi.org/10.1002/andp.201100194.

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42

Engelberg, Shlomo. "Elementary Number Theory and Rader's FFT." SIAM Review 59, no. 3 (January 2017): 671–78. http://dx.doi.org/10.1137/15m1044990.

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43

Ohta, Yasuhiro, Junkichi Satsuma, Daisuke Takahashi, and Tetsuji Tokihiro. "An Elementary Introduction to Sato Theory." Progress of Theoretical Physics Supplement 94 (1988): 210–41. http://dx.doi.org/10.1143/ptps.94.210.

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44

Cheng, Ta‐Pei, Ling‐Fong Li, and David Gross. "Gauge Theory of Elementary Particle Physics." Physics Today 38, no. 12 (December 1985): 78–79. http://dx.doi.org/10.1063/1.2814821.

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45

Emanuelson, Pamela. "An Elementary Theory of Social Structure." International Review of Social Research 3, no. 3 (October 1, 2013): 13–20. http://dx.doi.org/10.1515/irsr-2013-0018.

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Abstract This paper gives an overview of the Elementary Theory, a theory which infers interests from conditions of social structure and uses that information to predict interaction outcomes. It also reviews how the theory models social structure and the seven conditions of structure (i.e. exclusion, inclusion, null, inclusion-null, inclusion-exclusion, hierarchy/mobility and ordering) known to affect one type of human activity, the exercise of power. This paper ends up with a brief presentation of the recent theoretical developments of the Elementary Theory.

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46

Drechsler, W. "Gauge theory for extended elementary objects." Classical and Quantum Gravity 6, no. 5 (May 1, 1989): 623–57. http://dx.doi.org/10.1088/0264-9381/6/5/008.

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47

Shaw, G. "Gauge Theory of Elementary Particle Physics." Physics Bulletin 36, no. 5 (May 1985): 221. http://dx.doi.org/10.1088/0031-9112/36/5/028.

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48

Pesarin, Fortunato. "Some Elementary Theory of Permutation Tests." Communications in Statistics - Theory and Methods 44, no. 22 (November 17, 2015): 4880–92. http://dx.doi.org/10.1080/03610926.2013.802350.

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49

Kienzler, R., and G. Herrmann. "An elementary theory of defective beams." Acta Mechanica 62, no. 1-4 (November 1986): 37–46. http://dx.doi.org/10.1007/bf01175852.

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50

Shafi, Qaisar. "Gauge theory of elementary particle Physics." Journal of the Franklin Institute 320, no. 3-4 (September 1985): 201. http://dx.doi.org/10.1016/0016-0032(85)90046-8.

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