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natural number 【數學】自然數。

natural orders

Peng and jiao prove that if is a non - isotropic and linearly full harmonic map , and there is a natural number k such that ( 0 ) = , ( 1 ) , . . . , ( k - 1 ) are harmonic , but ( k ) is not harmonic , then ord ( ) = k . obviously , this method is not practicable , because it is far more difficult to determine whether ( j ) is harmonic than to determine whether 0 is orthogonal to j , while it is also difficult to determine whether is non - isotropic and linearly full Pj }證明:若滬是線性滿非迷向的調和映照,且存在一自然數k ,使倒0 )二滬,尹’ ) , … ,尹“一’ )是調和映照,但詞們不是調和映照,則t ) i . d (樹= k 。顯然,用} pj {的結果來計算c ) rd (司實際上是行不通的,這是因為判斷尸, )是否調和遠比判斷業與魚是否正交要困難,更何況還要求筍是線性滿非迷向的(這本身難于斷定) 。

For instance numeric compounds , such as natural numbers , real number , date , phone numbers etc . , are of this type . the second type is one that cannot be exactly represented by regular expressions , for they are open set and have no closed form representation . for instance , noun compounds and verb compounds are of this type 第一種是封閉型,這類型的未知詞雖然數量上可能有無窮多個,但是可以用規則語法( regularexpression )形式的構詞律產生,例如和數字有關的復合詞,不管是自然數,小數,序數,號碼,時間等都屬于這種類型。

This article , using maximum reservation crossover , self - adapting adjustment technique , designed suitable genetic algorithm based on natural number encode , which showed well ability in as / rs optimization , and indicated genetic algorithm has spacious application prospect in material flow system optimization 本文利用最大保留交叉、交叉率和變異率自適應調整等技術,設計了基于自然數編碼的遺傳算法,在as rs的優化中顯示了優良的性能。同時這也預示著遺傳算法在物流系統優化問題中具有廣闊的應用前景。

In the optimal calculation of pipe networks , using genetic algorithms to optimize , by natural number coding . then this thesis simply discuss the selection of initial genetic colony and the reasonable value of penalty function multiplier . it improve the constringency speed of genetic algorithms 在管網優化計算部分,采用遺傳算法,用自然數編碼的方式進行遺傳優化,對初始種群的優選,適合度函數中懲罰因子的取值,作了初步的探討,提高了遺傳優化的收斂速度。

Abstract : the optimal population size for genetic algorithm based on repeated natural number coding is studied . the existence and a lower boundary of the optimal population size are given . these results supply a guide to genetic algorithm operations in solving practical problems 文摘:研究了可重復自然數編碼遺傳算法的最優群體規模,證明了最優群體規模存在性,并給出了最優群體規模的一個下限值.本文對研究自然數編碼遺傳算法具有一定的意義

In the end of this chapter , we study the wiener index for the ( m , n ) - graph . this may help for the study of the following problem : which graphs have the wiener index equal to the natural numbers besides 2 and 5 , or the extreme value problem of the wiener index 本章最后給出了( m , n ) -圖類的wiener數,這有助于探討下述問題:以任何2 、 5之外的自然數為其wiener數的圖類四北工業大學碩士學位論文的研究,以及wiener數的極值問題的研究。

Firstly , a natural number chaotic sequence is created with the key . then the image matrix is transformed with this chaotic sequence , using the magic cube transformation . the results indicate that the proposed algorithm can get a satisfying effect 提出了一種在小波域內的基于混沌序列的模運算數字圖像加密解密算法和基于混沌序列的魔方變換數字圖象加密解密算法。

This article used natural number encode , and did feasibility analysis . in connection with premature in genetic algorithm , this article adopted self - adapting adjustment crossover and mutation probability methods , and did simulation 本文采用自然數編碼的方式,并分析了可行性;針對算法優化中出現的“早熟”現象,提出了采用自適應交叉、變異概率法,并進行了仿真。

We determine those natural numbers for which there are corresponding graphs with the index value equal to them , and those for which there are not any graphs with the index value equal to them 找出了哪些自然數存在對應的分子圖使得該分子圖的拓撲指標值等于該自然數,哪些自然數不存在對應的分子圖。從而避免了人們因試圖合成具有這些拓撲指標值的分子而作無用功。

This paper give some methods of determination about divisibility of integer , and uses them to solve the numbers which can whether or not be divided exactly by natural numbers between one and ten 摘要給出了自然數整除性的若干判別方法,進而解決了被10以內自然數整除的數的判定問題。

Note : methods or procedures may be specified for mapping other natural linear orders onto the natural numbers . sequencing for example , may be alphabetic or chronological 注:為把其它自然線性順序映射成自然數,可以采用各種方法或過程,例如,排序可以按字母或時間。

If we list all the natural numbers below 10 that are multiples of 3 or 5 , we get 3 , 5 , 6 and 9 . the sum of these multiples is 23 如果我們名單上的所有自然數十年以下有倍數為3或5 ,我們從中獲得了第3 ,第5 ,第6和第9 。總和的倍數,這是23 。

Question for thinking : c hoose 3 natural numbers from 1 to 100 . if the sum of them is a multiple of 3 , how many kinds of selections can you get 思考題:從1至100這100個自然數中取3個數,若這3個數的和恰為3的倍數,有多少種不同的取法?

“ if you want to best - selling brand of “ natural number , from the survey , a considerable number of dealers expect the coordination maintain “想暢銷的品牌”自然很多,從調查來看,有相當數量的經銷商對郎酒保持期待。

David mertz thinks that if there are any uninteresting natural numbers , there must be a least such uninteresting number David mertz覺得如果存在一些令人厭倦的自然數,那么一定有一個最小的這樣的自然數。

Application of modified natural number - coded genetic algorithm to vehicle scheduling problem with time windows 一種改進的自然數編碼遺傳算法在非滿載時間窗車輛優化調度問題中的應用

It derives a simplified general team formula by analyzing the basic characteristics of natural numbers 通過對自然數一些基本性質的分析論證,得出一個簡明的梵塔移動的通項公式。

“ beyond core knowledge : natural number . “ chap . 7 in the origin of concepts 核心知識之外:自然數。選自《概念之源》第七章。

To place items in an arrangement in accordance with the order of the natural numbers 按照自然數的順序將數據項進行排列。