function n. 1.功能,官能,机能,作用。 2.〔常 pl.〕职务,职责。 3.庆祝仪式;(盛大的)集会,宴会。 4.【数学】函数;与其他因素有密切关系的事。 The function of the ear is to listen. 耳的功能是听。 the function of education 教育的功能。 discharge one's functions 尽职。 the functions and powers of the National Congress 全国代表大会的职权。 a controllable function【火箭】遥控程序。 public [social] function招待会,文娱晚会,社交集会。 vital functions 生命机能。 vi. (器官等)活动,(机器等)运行,发挥作用。 function as teacher 担任教师。 a sofa functioning as a bed 兼当床用的沙发。 The lathe doesn't function well. 这台车床有毛病。 function digit [letter] 【计算机】操作数码[字码]。
In the finite element method, one of the restrictions on the approximating functions is relaxed . 在有限单元方法中,放开了定近似函数的限制。
When adding an entropy function as regularizing term to the lagrangian function , we obtain a smooth approximate function for m ( x ) , which turns out to be the exponential penalty function 当将熵函数作为正则项加到拉格朗日函数上,我们得到了逐点逼近于m ( x )的光滑函数。经证明,该函数即为指数罚函数。
By constructing approximate functions and using prior estimate and conversion of variable , it is proved that the inverse problem has weak solution for given initial value , boundary value and the oil output 通过变量和函数变换,作逼近函数和估计等方法,证明了对给定的初边值和石油产量,此反问题存在弱解。
Ph linearization method is employed to solve a nonlinear reynolds equation for a steady state and micro - scale flow field , and the approximate function expressions of gas dynamic pressure and velocity in the spiral groove are obtained 摘要应用ph线性化方法、迭代法,近似求解了螺旋槽内稳态微尺度流动场的非线性雷诺方程,求得了气体动压和速度分布的解析解。
2 . for the problem with size , stress and displacement constraints , the stress constraint is transformed into movable lower bounds of sizes , the displacement constraint is transformed into an approximate function which explicitly includes design variables by using mohr integral theory . a mathematical programming model of the optimization problem is set up . the dual programming of the model is approached into a quadratic programming model 2 .对于尺寸、应力和位移约束的问题,将应力约束化为动态下限,用单位虚荷载方法将位移约束近似显式化,构造优化问题的数学规划模型,将其对偶规划处理为二次规划问题,采用lemke算法进行求解,得到满足尺寸、应力和位移约束条件的截面最优解。
This feature reflects the physical phenomenon of breaking of waves and development of shock waves . in the fields of fulid dynamics , ( 0 . 2 . 1 ) is an approximation of small visvosity phenomenon . if viscosity ( or the diffusion term , two derivatives ) are added to ( 0 . 2 . 1 ) , it can be researched in the classical way which say that the solutions become very smooth immediately even for coarse inital data because of the diffusion of viscosity . a natural idea ( method of regularity ) is obtained as follows : solutions of the viscous convection - diffusion pr oblem approachs to the solutions of ( 0 . 2 . 1 ) when the viscosity goes to zeros . another method is numerical method such as difference methods , finite element method , spectrum method or finite volume method etc . numerical solutions which is constructed from the numerical scheme approximate to the solutions of the hyperbolic con - ervation laws ( 0 . 2 . 1 ) as the discretation parameter goes to zero . the aim of these two methods is to construct approximate solutions and then to conside the stability of approximate so - lutions ( i , e . the upper bound of approximate solutions in the suitable norms , especally for that independent of the approximate parameters ) . using the compactness framework ( such as bv compactness , l1 compactness and compensated compactness etc ) and the fact that the truncation is small , the approximate function consquence approch to a function which is exactly the solutions of ( 0 . 2 . 1 ) in some sense of definiton 当考虑粘性后,即在数学上反映为( 0 . 1 . 1 )中多了扩散项(二阶导数项) ,即使很粗糙的初始数据,解在瞬间内变的很光滑,这由于流体的粘性扩散引起,这种对流-扩散问题可用古典的微分方程来研究。自然的想法就是当粘性趋于零时,带粘性的对流-扩散问题的解在某意义下趋于无粘性问题( 0 . 1 . 1 )的解,这就是正则化方法。另一办法从离散(数值)角度上研究仅有对流项的守恒律( 0 . 1 . 1 ) ,如构造它的差分格式,甚至更一般的有限体积格式,有限元及谱方法等,从这些格式构造近似解(常表现为分片多项式)来逼近原守恒律的解。