General Formula for a Polynomial Generated SequenceThe extension of a method to compute the coefficient of a polynomial generated sequence can be summarised into a simple formula.Chan Meng JiunviXra
depth.Thesimplifiedgeneralformulawasproposedbyfittingapolynomialofhigherdegreewhilemeetingtheprecision demandofengineeringdesign.Computationalresultsandprecisionanalysisshowthatthemaximumrelativeerrorofthe generalformulaisonly0郾755%,whichmeetstheprecisiondemandofengineeringdesign.Thus,thesimplifiedgeneral formulaproposedhereca...
It is customary to introduce a normalization constant in the definition ofFn(x), and write 习惯上,在Fn(x)的定义中引入归一化常数,并改写得 This equation is called thegeneralized Rodriguez formula. For historical generalized Rodriguez formula reasons, different polynomial functions are normalized differen...
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This chapter provides trigonometric functions and general formulae for mathematical operations, and discusses the commonly used mathematical signs and symbols. The chapter further illustrates the applications of trigonometric formulae in approximations for small angles, for calculating the solution of triangles...
[11] proves that if the adversary is given polynomial computational power, and most (count aggregate) queries are answered with o(n) error, the private data can be determined. Moreover, if the adversary is given exponential computational power, and all queries are answered with o(n) error,...
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and y values, then the growth changes to polynomial, for the configuration set exhibiting higher information value but lower information quantity, after which we lastly have an exponential growth, demarcating those configurations that are fewer in number and at the tip of the information value ...
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Since the general electronic configuration of the chalcogens is ‘ns2np4’, they can obtain a stable electronic configuration by gaining two electrons or participating in covalent bonding. When they gain 2 electrons, the general formula of the ion formed is M2-(where M denotes a chalcogen). Th...