recursive functions 中文意思是什麼

Not applying this function attribute to the profiling functions results in an infinite recursive profiling loop and a lot of useless data

不要將這個函數屬性應用到分析函數上，這樣會導致無限遞歸分析循環和大量的無用數據。

Using the theories of probability, algebra and number theory comprehensively, we investigate a class of boolean functions with three - valued walsh spectrum in the first part of this dissertation : the properties of the extended semi - bent functions, which are constructed from any two bent functions, are studied, followed by the structure characteristics of the boolean functions satisfying propagation criterion with respect to all but two vectors ; the definition and cryptographic properties of k - order quasi - bent functions are proposed whose walsh spectrum takes on only three values. some sufficient and necessary conditions are offered to decide whether a boolean function is a k - order quasi - bent function ; a special method is presented to construct the k - order quasi - bent functions, whose cryptographic properties are explored by the matrix method, which is different from the method of walsh spectrum and that of autocorrelation of boolean functions ; the application of this kind of boolean functions in the fields of stream cipher, communications and block ciphers is discussed, which shows the great importance of the fc - order quasi - bent functions ; some methodology are proposed to construct the k - order quasi - bent functions, including the complete construction by using the characteristic matrices of boolean functions, and the recursive method by two known k - order quasi - bent functions we further extend our investigation to the ring zp, where p is a prime, and the similar results are presented as far as the p - valued quasi - generalized - bent functions are considered

本文首先綜合運用概率論、代數學、數論等基礎學科的理論知識，並以頻譜理論作為主要研究工具，對一類譜值分佈相對均勻的函數? ?廣半bent函數、 k階擬bent函數和p值k階擬廣義bent函數進行了系統、深入的研究，給出了廣半bent函數定義，並探討了廣半bent函數的密碼學性質；給出了k階擬bent函數和p值k階擬廣義bent函數的定義及等價判別條件；討論了k階擬bent函數和p值k階擬廣義bent函數與部分bent函數和p值廣義部分bent函數的關系，探討了它們的密碼學性質；給出了k階擬bent函數和p值k階擬廣義bent函數的典型構造方法，並將對k階擬bent函數的密碼性質的研究轉化到對一類特殊的矩陣的研究上；利用布爾函數的特徵矩陣原則上給出了k階擬bent函數的一種完全構造方法，還給出了從已有的p值k階擬廣義bent函數出發，遞歸構造變元個數更多的p值k階擬廣義bent函數的方法；初步探討了k階擬bent函數在序列密碼、分組密碼以及通信中的應用；給出了一類布爾函數walsh譜的分解式，並利用這類布爾函數的walsh譜分解式給出了一類近似穩定的布爾函數的構造，特殊情形下為k階擬bent函數；利用代數數論的知識考察了p值k階擬廣義bent函數的譜特徵，並給出了k階擬廣義bent函數與所有仿射函數的符合率特徵等等。

In ship steering controller design, the nonlinear ship model should be written in siso strict feedback form. we start the recursive design with the system first state variable and continue with the second one. by introducing a change of coordinates, we choose lyapunov functions to stabilize the system and obtain the control law

在船舶航向控制方面，考慮船舶的穩態回轉非線性，應用backstepping方法設計：首先把系統化成單入單出的嚴格反饋控制形式（呈下三角結構） ，假設系統后一個狀態變量是前一個狀態變量的虛擬控制，通過適當的變量代換，在每一步構造李亞普諾夫函數，使前一子系統在虛擬控制下漸近穩定，逐步遞推出控制器控制規律，使整個系統在平衡點滿足一致漸近穩定性。

But walking a tree just by using recursive functions is not all that difficult

但是只用遞歸函數來遍歷樹並不十分困難。

According to the relationship of shannon ' s formula of boolean functions and bdd, the fault tree structure to bdd conversion was accomplished by recursive method

依據布爾函數shannon分解和bdd圖的關系，用遞歸法實現了故障樹向bdd轉化。

Lfc is a formal specification language based on recursive functions defined on context free languages ( cfrf ) and supports the acquisition and validation of formal specification very well

同時lfc也是一種函數式語言，具有良好的數學基礎、引用透明、無副作用、模式匹配等特點。

In addition, recursive functions add significant expressive power to the language

此外，遞歸函數也增強了語言的表達能力。