algebraic polynomial 中文意思是什麼

algebraic polynomial 解釋
代數多相式
  • algebraic : adj. 代數的，代數學（上）的。adv. -ically 代數學上。
  • polynomial : adj. 1. 【動、植】多詞學名的。2. 【數學】多項式的。n. 1. 【動、植】多詞學名。 2. 【數學】多項式。
  1. For the delay - independent stability, necessary and sufficient algebraic criteria have been obtained in terms of characteristic functions. the key of the criteria is to verify that a polynomial has no nonzero real roots

    對時滯無關穩定性，以特徵函數為工具，獲得了充要代數準則，其核心是判定多項式方程無實根，這一問題由廣義sturm理論解決。
  2. With the characteristic function method, necessary and sufficient algebraic criteria have been developed for a class of three - delay linear difference systems. the key of the criteria is to verify that the value of a trigonometric polynomial is less than one

    藉助特徵函數法，獲得了一類三時滯線性差分系統的充要代數準則，其核心是判定某三角多項式的值小於1 ，這一問題由繪圖法解決。
  3. Secondly, we introduce the recurrence definition of the non - uniform algebraic - hyperbolic b - spline basis using divided differences and the de boor - fix recurrence definition on polynomial functions, and based on the new forms, algebraic - hyperbolic b - spline curves are obtained. they share most of the properties as those of the b - spline curves in the polynomial space. we focus on deducing the calculating and knot inserting formulae for this new kind of curves and then prove that they have the variation diminishing properties

    二、利用廣義差商，基於多項式b樣條的deboor - fix遞推定義，給出了任意階非均勻代數雙曲b樣條的遞推定義，由此構造麯線，證明它的幾何不變性、仿射不變性、凸包性、 v . d .性等，重點給出了非均勻代數雙曲b樣條曲線的遞歸求值和節點插入演算法，演算法簡單且穩定，便於在計算機上實現
  4. In this paper, it s applications were explained from seven different fields, the common zeros of two polynomials, the multiplicities of roots and the discrimination of a polynomial, searching the equations suitable for a algebraic number, implicating a rational curve over the plane, computing the zeros of a nonlinear algebraic equation and gathering the discrimination surface of the sas in automated theorem proving on inequalities

    本文從7個方面闡述了結式的應用，包括判斷2個多項式的公共零點，判定多項式是否有重根，計算多項式的判別式，尋找代數數滿足的方程，平面有理曲線的隱式化，非線性代數方程組求解和不等式機器證明中半代數系統邊界曲面的獲得等。
  5. Spline curves defined in the space constructed by polynomial and hyperbolic functions are studied in this paper. the main research contents and achievements are as follow : firstly, we generate the cardinal extended complete chebychevian ( ect ) - systems on the space constructed by polynomial and hyperbolic functions, then introduce the algebraic - hyperbolic b - spline space and identify the dimension law and zero properties. the existence of a basis of splines with minimal compact supports is demonstrated, and functions named non - uniform algebraic - hyperbolic b - splines are obtained by solving certain linear equations with a block matrix

    本文主要研究定義在多項式和雙曲函數構成的空間上的樣條曲線，其內容和完成結果如下:一、生成由多項式和雙曲函數構成的空間上的一組典範式ect （ extendedcompletechebychevian ）組及其對偶， ，證明非均勻代數雙曲b樣條空間的維數定理和零點定理，直接通過解塊矩陣線性方程組得到具有最小緊支撐的非均勻代數雙曲b樣條函數，進而構造非均勻代數雙曲b樣條曲線，還具體給出低階的表示
  6. 4. applying the techniques of real radical ideal, p - radical ideal ( p is a cone ), decomposition of semi - algebraic set in ( [ 72 ] ), affine hilbert polynomial and b - net form of polynomials on simplex, this paper obtains two theorems of real c ? piecewise algebraic variety dimensions and the real nullstellensatz in c

    L 、 ）數的一個下界計算公上巳4 ：應用多項式在單純形上的b網形式以及文獻門21 ）中的實根理想，錐根理想，半代數簇分解定理，本文得出了實c 」分片代數簇的二個維數定理和c 。
  7. Therefore, it can be used as an efficient new model for geometric design in the fields of cad / cam. at last, the spatial definition of periodic spline and natural spline constructed by polynomial and hyperbolic functions is given ; the dimension law and zero properties are demonstrated ; and therefore the non - uniform algebraic - hyperbolic period and natural spline curves are obtained. the applications of the low order are given in details

    三、給出代數雙曲周期樣條及自然樣條空間定義，證明其維數定理和零點定理，構造具有最小緊支撐的非均勻代數雙曲周期及自然樣條函數，進而定義非均勻代數雙曲周期及自然樣條曲線，最後具體給出低階的表示和應用
  8. It reframes the traceback problem as a polynomial reconstruction problem, and uses techniques from algebraic coding theory to provide robust methods of transmission and restriction. the scheme is a new solution to the traceback problem during a dos attack ; the honeypot for ddos, which is a tool of traceback, lures the attacker to believe that he successfully compromised a slave for his needs, convincingly simulating the architecture of a potential ddos attack ; the source - based approach to ddos defense, which is a useful adjunt to traceback systems, deploys a ddos defense system at source - end networks. attacks are detected by monitoring two - way traffic flows, and the attacks originating from source networks are stopped by rate - limiting ; the routing mechanism based on pushback treats ddos attacks as a congestion - control problem

    最後，就有關ddos攻擊反向追蹤問題，從四個方面對其解決方案進行了研究：在分析比較幾種反向追蹤演算法的基礎上，著重研究了代數方法編碼反向追蹤信息的方案，該方案把追蹤重構問題當作多項式重構問題，使用代數編碼理論技術提供魯棒的傳送和重構方法，是dos攻擊過程中的反向追蹤問題的一種新的解決方法； ddos陷阱作為反向追蹤的工具，引誘攻擊者相信自己成功與所需的傀儡主機通話，令人信服地模擬出潛在ddos攻擊體系結構；基於源的ddos防禦方法作為反向追蹤有用的補充，將防禦系統部署在源網路，通過監控雙向流量檢測攻擊和限制速率終止來自源的攻擊；基於向後倒推的防禦ddos的路由機制把ddos攻擊看作擁塞控制問題，添加功能到每個路由器來檢測並優先丟棄可能屬于攻擊的包，通過向後倒推上級路由器也得到通知而把這樣的包丟棄。
  9. 3. by using the techniques of an explicit criterion to determine the number of real roots of a univariate polynomial in ( [ 13 ], [ 73 ] ) ; b - net form of bivariate splines function ; discriminant sequence of polynomial ( cf. [ 13 ], [ 73 ] ) and the number of sign changes in the sequence of coefficients of the highest degree terms of sturm sequence, this paper determines the number of real intersection points two piecewise algebraic curves whose common points are finite. a lower bound of the number of real intersection points is obtained in terms of method of rotation degree of vector field

    大連理工大學博士論義：分片代數價線i片代數簇的若十m穴3 ：利用楊路，張景中，侯曉榮在文獻v13 ， 73 ）中關於一元多項式實根的顯式判準，以及二元樣條函數的b網形式，多項式的判別序列和sturm序列的最高次數項系數序列的變號數，本文給出了兩個分片代數曲線的丈交點數（假設公共點是有限的）的計算公式。
  10. Three special subspaces of ect spline space : polynomial space, the algebraic trigonometric spline space and hyperbolic spline space are investigated in detail. the generalized p lya polynomials, associated with the three subspaces, are calculated. both of boehm algorithm and oslo algorithm for the ect b spline curves of order 4 over the three special subspaces are displayed

    三、在多項式樣條空間、代數三角樣條空間和代數雙曲樣條空間這三個具體的ect空間上，給出了相應典範ect組和廣義p lya多項式的計算和顯示表示，展示了幾個低階ectb樣條曲線各種插入節點演算法的求解全過程
  11. A brief introduction to the characteristic set method is given for solving algebraic equation systems and then the method is extended to algebraic difference systems. the method can be used to decompose the zero set for a difference polynomial set in general form to the union of difference polynomial sets in triangular form

    部分實現腦力勞動機械化使計算機具有某些智能行為，將為科學研究與技術創新提供有力工具使科研工作者擺脫繁瑣的甚至是人力難以達到的工作，將自己的聰明才智集中到更高層次的創新性研究。
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