differentiable
Examples
- We use b - spline smoothing technique to smooth the characteristic function without changing the integral quantity and get a differentiable weight function . the method considerably improves the quality of sampling points
我们用b样条磨光技术在不改变积分值的前提下磨光特征函数,用可微的权重函数代替特征函数,提高了采样的质量。 - In unconstrained optimization , we deal with the standard problem of finding the minimum of a function f : rn - r . if we assume that the function is twice continuously differentiable , many methods can be applied to find the minimum
在无约束最优化中,考虑寻找f : r ~ n r的极小点。假设f是二次连续可微的,可以有许多方法寻找它的极小点。 - In the paper , a special class of quasidifferentiable functions - subsuper differentiable functions is introduced , which satisfies the conditions of the existence of high dimensional kernels , and the formula of kernels is deduced
摘要引入了一个特殊的拟可微函数类一次超可微函数,证明了其满足具有高维核的条件,并且推导出了高维核的计算公式。 - Continuity , integrability and differentiability of riemann function are discussed ; especially , the non - differentiable properties on [ 0 , 1 ] are proved , and dirichlet ' s function is comparated with it
摘要从黎曼函数的简单特徵入手讨论它的连续性、可积性、可导性,特别是证明了黎曼函数在区间[ 0 , 1 ]上处处不可导,并结合狄利克雷函数加以引申和推广。 - 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
摘要对一类单调可微的有界函数,利用相对变化率的概念,定义了一种由该函数生成的概率密度函数。 - We give a brief but systematic introduction to differentiable geometry and lie group , lie algebra . rigid body motion expressed with the notations from these theories is also introduced . they are the theoretical bases of the subsequent research contents
2 、基本成体系地介绍了微分几何中的李群、李代数理论,并分析其表达刚体运动的作用,为本文的研究打下基础。 - It can speed the local rate of convergence and improve the accuracy of solution , and to solve nonlinear constraint optimization problems , coa was combined with exact non - differentiable penalty function
它利用混沌变量的特定内在随机性和遍历性跳出局部最优点,并在局部搜索空间经过线性搜索提高解的搜索速度和精度,通过结合精确不可微罚函数以用于求解非线性约束优化问题。 - A distinction of it is that the derivative condition is loosed . especially , we discuss the patch perturbations for a system that the function is only g - differentiable but not f - differentiable . this lays a foundation of discussing the optimal control problems for weak - smooth system
特别是首次对一类g -可微、但不为f -可微的系统的讨论,为下一章研究弱光滑系统最优控制的最大值原理奠定了基础。 - We studied the huston - kane method of multibody system theory by the means of differentiable geometry . and point out that huston - kane method can be fully imbedded into lagrange ' s mechanics . huston - kane method is only a transformat
10 、使用微分几何理论研究了多体系统理论的huston kane方法,指出多体系统理论的huston kane方法完全可以嵌入到lagrange力学体系中,前者只是lagrangc动力学方程的变形。 - As a powerful global optimization approach , genetic algorithms ( ga ) can solve a variety of optimization problems in which the objective function is discontinuous , non - differentiable , or highly non - linear , to produce high convergence speed and vast search space
摘要遗传算法作为一种全局优化算法,可以用来解决在目标函数不连续、不可能、非线性等情况下的复杂问题,且具有较高的收敛效率和广阔的搜索空间。
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