递增函数 meaning in English
increasing function
Examples
- 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。 - Theoretical analysis and experimental results indicate that algorithm ecfpcg1 and algorithm ecfpcg2 es - tablished by specifying parameters are much more efficient than the imth method , and roughly speaking , the relative efficiency of the algorithms versus the imth method tends to + 00 at the asymptotic formula inn / in3 when n tends to + 00
理论分析结果表明：这两个算法比imth方法具有更高的效率，而且，算法ecfpcg1的效率高于算法ecfpcg2的效率。进一步地，算法ecfpcg2与imth方法的效率比分别为问题维数n和目标函数复杂性严格递增函数，而且这个效率比的下界随问题维数n的增大以ln ( n ) ln3的速率趋于无穷大。 - 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。