monotone function 中文意思是什麼
monotone function
解釋
單彈數-
Does monotone locally bounded function definitely have extreme
"單調有界函數必有極限"嗎 -
Moreover, when the parameter is chosen in a certain interval, it is proved that the generalized d - gap function g has bounded level sets for the strongly monotone vip. an error bound estimation of the algorithm is obtained, which partially gives an answer to the question raised by yamashita ( 1997 ) et al
更進一步，當廣義d -間隙函數g _ （ ）中的參數取值于某一區間時，證明了函數g _ （ ）對于強單調變分不等式而言，具有有界的水平集，同時，給出了演算法的一個誤差界估計，它部分回答了yamashita等人提出的一個問題。 -
By changing the perturbution to strongly monotone vip, basing on the equivalent d - gap function, a derivative - free algorithm is given, and each accumulation point obtained by this algorithm is a solution to the original vip under suitable conditions
利用廣義的d -間隙函數提出一種無需計算函數梯度的演算法，進一步證明此演算法產生的每一聚點都是原變分不等式的解。 -
In chapter two, under non - lipschitz condition, the existence and uniqueness of the solution of the second kind of bsde is researched, based on it, the stability of the solution is proved ; in chapter three, under non - lipschitz condition, the comparison theorem of the solution of the second kind of bsde is proved and using the monotone iterative technique, the existence of minimal and maximal solution is constructively proved ; in chapter four, on the base of above results, we get some results of the second kind of bsde which partly decouple with sde ( fbsde ), which include that the solution of the bsde is continuous in the initial value of sde and the application to optimal control and dynamic programming. at the end of this section, the character of the corresponding utility function has been discussed, e. g monotonicity, concavity and risk aversion ; in chapter 5, for the first land of bsde, using the monotone iterative technique, the existence of minimal and maximal solution is proved and other characters and applications to utility function are studied
首先，第二章在非lipschitz條件下，研究了第二類方程的解的存在唯一性問題，在此基礎上，又證明了解的穩定性；第三章在非lipschitz條件下，證明了第二類bsde解的比較定理，並在此基礎上，利用單調迭代的方法，構造性證明了最大、最小解的存在性；第四章在以上的一些理論基礎之上，得到了相應的與第二類倒向隨機微分方程耦合的正倒向隨機微分方程系統的一些結果，主要包括倒向隨機微分方程的解關于正向隨機微分方程的初值是具有連續性的，得到了最優控制和動態規劃的一些結果，在這一章的最後還討論了相應的效用函數的性質，如，效用函數的單調性、凹性以及風險規避性等;第五章，針對第一類倒向隨機微分方程，運用單調迭代方法，證明了最大和最小解的存在性，並研究了解的其它性質及在效用函數上的應用。 -
Chapter 5 is contributed to studying convergence rate of standard transition function and relation of all kinds of convergence rates. by revealing the close link among strong ergodicity, stochastically monotone, and the feller transition functions we are able to prove that a monotone ergodic transition function is strongly ergodic if and only if it is not a feller transition function
第五章討論標準轉移函數的收斂速度以及各種收斂速度之間的關系，通過找出強遍歷、隨機單調性和feller轉移函數之間的緊密關系，我們證明了隨機單調標準轉移函數是強遍歷的充要條件是它不是feller轉移函數。 -
At the fixed temperature level, both the permeability and hydraulic conductivity of sandstone decrease with the increasing effective stress, following the law of negative exponent. at the fixed effective stress level, however, the function between hydraulic conductivity and temperature is not a monotone one
在溫度一定的條件下，砂巖的滲透率和水力傳導系數均隨有效應力的增加而呈負指數規律減小，但在有效應力一定的條件下，水力傳導系數與溫度之間的關系函數並非單調函數。 -
An easy checking criterion for a minimal monotone transition function to be strongly ergodic is then obtained. we further prove that a non - minimal ergodic monotone transition function is always strongly ergodic
對于最小隨機單調轉移函數的強遍歷，給出了非常容易檢驗的準則，此外，我們還證明了非最小隨機單調轉移函數強遍歷當且僅當它是遍歷的。 -
We consider the traveling waves of a delay cnn system with the output function f given as a non - linear function in the latter. we show the existence of monotone traveling waves solutions and describe the global structure of traveling waves such as monotone, damped oscillation, periodic oscillation and unbounded etc as the wave speed c is classified in r
第二部分我們考慮具時滯非線性cnn系統模型，得出方程單調行波解存在，並將波速c r分成若干個區間，得出c在各個區間時行波解曲線相應的類型包括單調、衰減振動、周期振動、無界等類型。 -
These methods are lagrange mean - value theorem, monotone function, extreme value of function, taylor formula, concave and convex function
提出六種常用的方法，並指出每一種方法的適用類型、解決問題的關鍵和證明問題的具體步驟，最後結合實例說明方法的可用性。 -
Our results show that the optimal value with a parameter is a monotone decreasing sectionally continuous linear function g about parameter a, and the membership function of fuzzy objective sets are a linear function, written as c
經過研究發現，其最優值是隨著參數減少而逐漸減少的分段連續的線性函數g 。另外，模糊目標集的隸屬函數也是一個線性函數，記為c 。 -
Using conception of relative rate of change, a definition of probability density function is given based on the class of differentiable monotone function which is bounded on domain of definition, calculation and properties of the mathematical expectation are discussed
摘要對一類單調可微的有界函數，利用相對變化率的概念，定義了一種由該函數生成的概率密度函數。 -
We prove the equivalent conditions of completely monotone function, we also discuss the relationship of positive definite function, semi - positive definite function and completely monotone function when the function take values in a commutitive von neumann algebras
我們證明了完全單調函數的幾個等價條件，並且討論了取值于交換vonneumann代數的正定函數，半正定函數及完全單調函數之間的關系。 -
L. the paper studies the theory to detect damage of bridges, and compares many sensitive parameters to detect bridge damage through correlative literature all over the world, finally concludes it suitable that bridge damage is detected by strain mode parameters. the strain mode parameters satisfy four foundstiona. l conditions as follows : ? hey are sensitive to sectional damage and they are monotone function of structure damage. @ they have determinate location coordinate
論文通過對國內外橋梁損傷檢測方面的文獻資料研究，探討了識別橋梁損傷的基本理論，比較了多種結構損傷敏感參數識別橋梁損傷的優缺點，最後確定用應變模態參數識別橋梁結構損傷較為合適，應變模態是對損傷敏感的參數，滿足四個基本條件：對局部損傷敏感，且為結構損傷的單調函數；具有明確的位置坐標；在損傷位置，應變模態差曲線出現明顯的峰值變化；在非損傷位置，應變模態差曲線的變化幅度小於預先設定的閾值。 -
Firstly, we study the periodic parabolic equations with delays by using the method of upper and lower solutions and its associated monotone iterations, it is shown that the reaction function in the system possesses a quasi - monotone property and the periodic boundary value system has a pair of coupled t - upper and lower solutions then the periodic boundary value problem has a pair of periodic quasi - solutions and the sector between the quasi - solutions is an attractor of the delayed periodic parabolic system
首先，我們研究含時滯的周期拋物型方程組應用上、下解方法及相應的單調迭代方法，證明：如果反應項混擬單調且方程存在周期上、下解，則方程一定存在周期擬解，並且擬解構成的區間是一個吸引子。 -
Therefore, the modified transformation of triangle function is proposed for the oscillation series, and the monotone series can be obtained. 2
因此，本論文提出一種變形的反三角函數變換方法，利用反三角函數的多值性，可將周期振蕩的數列變換成單調增加數列。 -
In this paper, the author propose a new gm ( 1, 1 ) model for oscillation series using the transformation of triangle function, and change them to be the monotone series, then constructe gm ( 1, 1 ) model for simulating prediction of original given data. 3. research on gm ( 2, 1 ) model, the author find that there is no law to choose the initial value of gm ( 2, 1 ) model
因此，利用本論文提出的新的函數變換數據生成辦法，提出一種函數變換型gm （ 1 ， 1 ）模型，即將初始的周期振蕩數列首先變換成單調增加數列，再利用gm （ 1 ， 1 ）模型進行預報。
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