1) convexity
[英][,kɔn'veksiti] [美][,kɑn'vɛksətɪ]
凹凸性
1.
In this paper,the authors study the monotoneity and convexity of certain combinations and composites defined in terms of the generalized Grtzsch ring function μ_a(r),which appears in Ramanujan s generalized modular equations,and obtain some inequalities for this function.
揭示了由出现于广义Ramanujan模方程中的所谓广义Gr¨otzsch环函数μa(r)定义的某些组合、μa和某些初等函数的复合的凹凸性和单调性,并由此获得了μa(r)满足的几个不等式,描述了函数μa的一种近似于凹凸性的性质。
2.
In this paper,a kind of extended mean values is provided,and using mean values theory and derivative,monotonicity and convexity of this kind of mean values are focused.
文章给出拓广平均值的一类情形,并利用有关中值定理和导数工具着重讨论了此类平均值函数的单调性、凹凸性。
2) concavity
[英][,kɔn'kævəti] [美][kɑn'kævətɪ]
凹凸性
1.
In this paper,the authors study the monotonicity and concavity of certain composites defined in terms of the special function m_a(r)=πr′~2F(a,1-a;1,1-r~2)F(a,1-a;1;r~2)/(2 sin πa) for r ∈(0,1)and a ∈(0,1).
揭示了由特殊函数ma(r)和某些初等函数的复合的凹凸性和单调性,并由此获得了ma(r)满足的几个不等式,描述了函数ma(r)的一种近似凹凸性的性质以及m(r
3) concavity and convexity
凹凸性
1.
The concavity and convexity of the pluralistic quadratic function is discussed with quadratic form and simple methods are given to recognize concavity and convexity.
利用二次型理论讨论了多元二次函数的凹凸性,并给出了判别凹凸性的简便方法。
2.
On historically examining the concepts of concavity and convexity of a curve and the criterion for inflection points in Daiweiji Shiji, the first calculus textbook in China, this paper concludes that the criterion is in contradiction to the concepts.
对我国第一部微积分课本《代微积拾级》中曲线凹凸性概念和拐点判定方法作了历史考察 ,指出其中的缺陷 ,并试图说明清代数学家未能发现这一缺陷的原
3.
A minimax theorem generally involves three assumption conditions: space structures on sets X and Y, the continuity of the functions and the concavity and convexity of function.
一个极大极小定理一般涉及三个假设条件：集合X和Y的空间结构，函数的连续性和函数的凹凸性。
4) convexity and concavity
凹凸性
1.
A pressure angle function(PAF) based method for describing convexity and concavity of tooth profiles was established.
首次提出基于啮合角函数的平面共轭齿廓凹凸性判别方法·给出六项判据·根据这些判据 ,无需求解齿廓方程 ,由啮合角函数直接判别共轭齿廓凹凸性·为设计高性能的齿轮齿廓提供了新途径
5) concavo-convex
[英][kɔn'keivəu'kɔnveks] [美][kɑn'kevo'kɑnvɛks]
凹凸性
1.
By discussing the relationship of concavo-convex function and proving its equivalence, several weak converse theorems of differential mean-value theorem were obtained in this paper, that is, the additional conditions for converse theorem of differential mean- value theorem, were inferred.
通过讨论函数凹凸性定义的等价性,得到了微分中值定理的几个弱逆定理,即微分中值定理的逆定理成立的附加条件。
2.
Given a nature theorem of concavo-convex function as well as its deduction,a specific kind of triangle inequality can be found.
通过给出关于凹凸函数的一个性质定理及其推论,对一些特定类型的三角不等式通过构造辅助函数,求出函数的二阶导数;再结合其凹凸性利用定理的推论给予简捷的证明。
6) convexity and concavity
凸凹性
补充资料：连续性与非连续性(见间断性与不间断性)
连续性与非连续性(见间断性与不间断性)
continuity and discontinuity
11an父ux泊g四f“山。麻以角g、.连续性与非连续性(c。nt，n琳t:nuity一)_见间断性与不间断性。and diseo红ti-
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
参考词条