منابع مشابه
Information decomposition of symbolical sequences
Earlier comprehensive mathematical methods were developed for the study of periodicity of continuous and discrete numerical sequences, using Fourier transformation and allowing the definition of the spectral density of a numerical sequence. However, such an application of a Fourier transform demands presentation of a symbolic sequence as a numerical sequence in which the properties of any symbo...
متن کاملON SYMBOLICAL GEOMETRY By
Various errata noted by Hamilton have been corrected. In addition, the following obvious corrections have been made:— in article 13, the sentence before equation (103), the word 'considered' has been changed to 'considering'; a missing comma has been inserted in equation (172); in equation (209), '= 0' has been added; in article 31, the sentence after equation (227), d has been corrected to d ;...
متن کاملA Symbolical Approach to Negative Numbers
Recent Early Algebra research indicates that it is better to teach negative numbers symbolically, as uncompleted subtractions or “difference pairs”, an idea due to Hamilton, rather than abstractly as they are currently taught, since all the properties of negative numbers then follow from properties of the subtraction operation with which children are already familiar. Symbolical algebra peaked ...
متن کاملA symbolical algorithm on additive basis and double-loop networks
A double-loop digraph G=G(N ; s1; s2), with gcd(N; s1; s2)=1, has the set of vertices V =ZN and the adjacencies are given by u → u + si (mod N ) i = 1; 2. The diameter of G, denoted by D(N ; s1; s2), is known to be lower bounded by lb(N ) with D(N ) = min 16s1¡s2¡N; gcd(N;s1 ; s2)=1 D(N ; s1; s2)¿ ⌈√ 3N ⌉ − 2 = lb(N ): This lower bound is known to be sharp. For a 0xed N ∈N, some algorithms to 0...
متن کاملSymbolical Algebra as a Foundation for Calculus:D. F. Gregory’s Contribution
Duncan Farquharson Gregory (1813–1844) was a mathematician and founder of the Cambridge Mathematical Journal. His 1841 Examples of the Processes of the Differential and Integral Calculus was an extensive revision of Peacock’s 1820 textbook of a similar title. Among the new material in Gregory’s version is an exposition of symbolical algebra, prominently featuring the method of “separation of sy...
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ژورنال
عنوان ژورنال: Nature
سال: 1881
ISSN: 0028-0836,1476-4687
DOI: 10.1038/024005c0