monotonicity of a function 中文意思是什麼
monotonicity of a function
解釋
函數的單調性- monotonicity : 單翟
- of : OF ＝Old French 古法語。
- a : an 用在以母音音素開始的詞前〉 indefinite art 1 〈普通可數名詞第一次提到時，冠以不定冠詞主要表示類...
- function : n 1 功能，官能，機能，作用。2 〈常 pl 〉職務，職責。3 慶祝儀式；（盛大的）集會，宴會。4 【數學】...
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In the higher mathematics category, routine methods to work out the proof of an inequation are a flexible use of mathematical knowledge like monotonicity of functions, extremum values, maximum and minimum values, convexity function, medium value theorem, taylor equation, holder inequation, schwarz inequation, and the analysis, formation and transformation of inequation problems as well
摘要在高等數學?疇中，靈活運用函數的單調性、極值、最值、凸性函數、以及中值定理與泰勒公式、赫爾德不等式、施瓦茲不等式等數學知識，對不等式問題進行分析、構造與轉化，是解決不等式的證明問題的常用方法。 -
For problems whose objective function or constraint functions have sharp curves on their contour maps ( such as the rosenbrock ' s function which has banana shape contours ), monotonicity may cause a series of very small steps, causing a huge number of iteration to reach their solutions. by using the nonmonotone technique, we get the sequence of successful interative point which should make the objective function mono - tonically decreasing. hence, we use both trust region strategy and line search technique and make each iterate generate an acceptable trial step in interior feasible set as next interative point
我們利用非單調技術得到使目標函數非單調下降的迭代點，因為非單調克服高度非線性化函數的求解問題，從而避免了只使用單調搜索在「峽谷」現象局部最優解被卡的情況，我們用信賴域策略和非單調線搜索技術相結合的方法，使演算法產生的迭代步落在可行域內點，同時又在信賴域內滿足接受準則。
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