By solution of the minimum of a set of free energy functions of the physical system simulating temperature fluctuations,the base state of the physical system is ultimately reached,which corresponds to the optimum s.
针对传统分类器的缺陷,文章提出将分类问题看作一物理系统,把求解分类问题的最优解转化为模拟温度变化的物理系统的平衡态,通过求解一系列温度变化的物理系统自由能函数的极小来模拟物理系统的平衡态,最终达到物理系统的基态,即分类问题的最优解。
The mathematical model and the function equation of free surface of mercury droplets are established in accordance with Young-Laplace function,principal curvature equation in differential geometry and the symmetry of free surface of liquid droplet configuration.
根据流体力学Young-Lap lace公式和微分几何学主曲率方程,利用液体自由面的对称性质建立数学模型,并导出静态水银液滴自由面函数方程,然后对只有重力作用下的水银液滴建模,利用MATLAB求解出自由面函数方程,并仿真、绘制出了水银液滴在只有重力加速度下的自由面函数曲线,最后分析了影响仿真的因素。
In this paper,we prove the existerce of the free functor from the category of sets into the category of f-modules.
本文证明了由集合范畴到f-模范畴的自由函子的存在性,构造了自由函子的伴随函子。
Starting from the unloading-reloading modulus and bulk modulus of Duncan-Chang E-B model,elastic component of Gibbs free energy function for soils is formulated based on the thermodynamic principle.
从邓肯E-B模型的卸荷再加荷模量和体积模量出发,以热力学定律为基础,构造土体的吉布斯自由能函数,通过勒让德变换,得到增量的应力–应变关系。