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Bulletin of the American Mathematical Society

The Bulletin publishes expository articles on contemporary mathematical research, written in a way that gives insight to mathematicians who may not be experts in the particular topic. The Bulletin also publishes reviews of selected books in mathematics and short articles in the Mathematical Perspectives section, both by invitation only.

ISSN 1088-9485 (online) ISSN 0273-0979 (print)

The 2020 MCQ for Bulletin of the American Mathematical Society is 0.84.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

Approximate functional complexity
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by R. C. Buck PDF
Bull. Amer. Math. Soc. 81 (1975), 1112-1114
References
  • V. I. Arnol′d, Representation of continuous functions of three variables by the superposition of continuous functions of two variables, Amer. Math. Soc. Transl. (2) 28 (1963), 61–147. MR 0153798
  • V. I. Arnol′d, Some questions on approximation and representation of functions, Proc. Internat. Congress Math. 1958., Cambridge Univ. Press, New York, 1960, pp. 339–348 (Russian). MR 0121454
  • V. I. Arnol′d, On the representability of a function of two variables in the form $\chi [\phi (x)+\psi (y)]$, Uspehi Mat. Nauk (N.S.) 12 (1957), no. 2(74), 119–121 (Russian). MR 0090623
  • R. C. Buck, On approximation theory and functional equations, J. Approximation Theory 5 (1972), 228–237. MR 377363, DOI 10.1016/0021-9045(72)90016-0
  • A. N. Kolmogorov, On the representation of continuous functions of many variables by superposition of continuous functions of one variable and addition, Dokl. Akad. Nauk SSSR 114 (1957), 953–956 (Russian). MR 0111809
  • G. G. Lorentz, Metric entropy, widths, and superpositions of functions, Amer. Math. Monthly 69 (1962), 469–485. MR 141926, DOI 10.2307/2311185
  • David A. Sprecher, A survey of solved and unsolved problems on superpositions of functions, J. Approximation Theory 6 (1972), 123–134. MR 348347, DOI 10.1016/0021-9045(72)90069-x
  • A. G. Vituškin, Otsenka slozhnostn zadachi tabulirovaniya, Sovremennye Problemy Matematiki, Gosudarstv. Izdat. Fiz.-Mat. Lit., Moscow, 1959 (Russian). MR 0117486
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Additional Information
  • Journal: Bull. Amer. Math. Soc. 81 (1975), 1112-1114
  • MSC (1970): Primary 41A30; Secondary 26A72
  • DOI: https://doi.org/10.1090/S0002-9904-1975-13938-3
  • MathSciNet review: 0387516