algebraic criterion 中文意思是什麼
algebraic criterion
解釋
代數判據-
Chapter 4 discusses how to stabilize a class of time - delays neural networks via standard feedback control ; this kind of neural networks provides a unified view of several well - known neural networks ( such as hopfield neural networks and cellular neural networks ) with discrete delays or distributed delays. a stability criterion is given by using the lyapunov method. all the results obtained in this chapter are stated in simple algebraic forms so that their verifications and applications are straightforward and convenient
通過使用lyapunov方法，我們得到了一類時延神經網路經過標準反饋控制后的穩定條件，這類神經網路涵蓋了幾種著名的神經網路，如hopfield神經網路、細胞神經網路，同樣，本章所得到的結論也是簡單的代數表達式，使用非常方便，最後在用計算機通過做數值實驗對這些結論進行了驗證。 -
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。 -
Based on the above knowledge, the core components s - boxes of the rijndael algorithm and the camellia algorithm, which are the only nonlinear components, are analyzed and compared in detail. eight algebraic properties of s - boxes such as balanceness, strict avalanche criterion, differential uniformance, algebraic order, and so on are calculated and proved. the reason that the s - boxes which are constructed by the inverse operation on finite field has the specialty of 4 - difference is analyzed
在此之後，本論文分針對rijndael和camellia演算法的核心部件，也是唯一的非線性部件s盒進行了詳細的分析和比較，計算並證明了s盒的平衡性、嚴格雪崩準則、差分均勻度、代數次數等八種代數性質，特別給出了通過有限域上的取逆運算構造的s盒其差分特性為4的原因，最後計算了兩個演算法s盒的兩種代數結構，表明rijndael和camellia演算法的s盒均具有良好的代數性質和復雜的代數結構，為今後兩種演算法在各個領域的應用提供了理論保障。
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