单调递增函数 meaning in English

monotone increasing function
monotonic increasing function

Monotonic increasing function
单调递增函数
Given a new concept - gametal inbreeding relation coefficient , and proved it is a increase function by inbreeding coefficient f , it ' s reflect the relating degree from the aspect of informatics
提出了配子间的近交关联系数的概念，并证明了它是近交系数f的单调递增函数，从信息论的角度刻画了配子间的关联程度。
One of its most important applications is to improve the optimization algorithms by evaluating the relevant derivatives information efficiently the aim of the work includes : to establish and study new algorithms - - cf - pcg algorithrns with ad ; to establish and study the extended cf - pcg algorithm ( ecfpcg ) . cf - pcg algorithms with ad is proposed on the basis of cf - pcg algorithms with sd , in addition to replace sd with ad , there are other significant modification to the algorithms . the results by theoretical analysis and numerical experiments implicate that cf - pcg algo - rithm with ad is an improvement to newton method with ad
论文首次将自动微分应用于牛顿- pcg型算法，构造了新算法，并从理论上比较了新算法与牛顿法的效率，证明了新算法的效率严格大于牛顿法的效率，而且新算法与牛顿法的效率比分别是问题维数n和目标函数复杂性的严格单调递增函数，当n趋于无穷大时，这个效率比的下界以ln ( n ) ln2的速率趋于无穷大。