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Implementation
Extensibility
Theme (computing)
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Chinese remainder theorem
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A new method is introduced about the remainder estimation of infinite alternating series constructed by the reciprocal of odd natural numbers.The inequality of remainder estimation range is given with the remainder of the first term to any the nth partial sum of the series and it is proved.Estimation formula is extremely simple.It is shown by calculation that relative error of the remainder estimation is smaller than 1℅ when n=5 and smaller than 1‰ when n=16.
Reciprocal
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Maxima
Chinese remainder theorem
Maxima and minima
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Remainder theorems are very popular for finding the remainder in various types of problems. In this paper, we have proposed a simplified approach of finding the remainder using basic mathematics. This method is very effective in solving certain types of problems which involve exponentiation of dividend by some positive integer and those which have common factors in their dividend and divisor. Here, we have discussed how the individual factors of the dividend can be used to find the remainder. This method is easy to understand and leads to faster remainder computation, using simple calculations and works very effectively for big dividends as well. The proof of this method is given along with an example to explain its working for both types of problems. The concept of negative remainder and repetitive application of the simplified method are also discussed. References
Chinese remainder theorem
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Sequence (biology)
Chinese remainder theorem
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Abstract The remainder equations were introduced by S. O. Hansson. In this paper, we will give an exhaustive characterization of the set of solutions for remainder equations. Moreover, solutions to some unsolved problems proposed by Hansson are reported.
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Abstract The remainder set A ⟂ B of a set of sentences A modulo a set of sentences B is the set of all maximal subsets of A not implying any element of B. A remainder equation is an expression containing remainder sets, such as { A } = B ⟂ X , in which at least one set is unknown. Solutions to some classes of remainder equations are reported, and some unsolved problems are listed.
Chinese remainder theorem
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The nationally-recognized Susquehanna
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musical level.AÂAÂAÂAÂAÂAÂAÂAÂAÂAÂAÂAÂAÂAÂAÂAÂAÂAÂAÂAÂAÂAÂAÂAÂAÂAÂAÂAÂAÂAÂAÂA¢AÂAÂAÂAÂAÂAÂAÂAÂAÂAÂAÂAÂAÂAÂAÂAÂAÂAÂAÂAÂAÂAÂAÂAÂAÂAÂAÂAÂAÂAÂAÂAÂAÂAÂAÂAÂAÂAÂAÂAÂAÂAÂAÂAÂAÂAÂAÂAÂAÂAÂAÂAÂAÂAÂAÂAÂAÂAÂAÂAÂAÂAÂAÂA Experience choral
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Paper presents a novel extensible distributed data structure called xEH*. At the same time, we make an analysis of the large-scale data structure in order to make the verification of the correctness through experiment and implement the high availability of system.
Extensibility
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