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Applying the Lagrange multipliers, we obtain a system of algebraic equations which can be solved by the special algorithm proposed in the paper.


For these designs, a special algorithm for the multiplication of two's complement numbers with constant numbers in CSD representation was developed.


Intensities of principal diffraction maxima for a phase reflection diffraction grating with a rectangular groove profile were calculated by the Fresnel method, using a special algorithm.


A special algorithm with prediction is suggested for compression of coordinates of triangulation nodes.


The virtual screening method is based upon evaluation of a targetspecific profile of compounds by means of a special algorithm intended for the analysis of multiparametric data arrays (selforganizing Kohonen maps).

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 Cubic Bspline approximations and iterative techniques have been used in computing highly nonlinear deflections of clamped shallow spherical shells under successive increments of uniformly distributed loads. We find that for the shells with the geometric parameter arch chord length, R = radius of curvature, h=thickness), the slopes dP/dW. of pW. (loadcentral deflection) curves may go to infinity (and become negative) before snapthrough buckling loads have been attained. A special algorithm which uses... Cubic Bspline approximations and iterative techniques have been used in computing highly nonlinear deflections of clamped shallow spherical shells under successive increments of uniformly distributed loads. We find that for the shells with the geometric parameter arch chord length, R = radius of curvature, h=thickness), the slopes dP/dW. of pW. (loadcentral deflection) curves may go to infinity (and become negative) before snapthrough buckling loads have been attained. A special algorithm which uses alternatively the increments of central deflection and load as iterative parameters has been developed to cope with this situation. This algorithm gives fairly good convergence rates for values of λ as high as 46 and the buckling loads obtained for λ<20 are compatible with that computed by B. Budiansky and R. Archer with entirely different methods.  本文用三次B样条函数和迭代法求解圆底扁球壳在逐次加载时挠度增量和内力增量所满足的变系数非线性微分方程,从而得出均布荷载作用下周边固定圆底扁球壳轴对称弯曲问题的解答。文中计算了λ≤46的各种λ值的极值屈曲荷载,所得结果在λ≤20时与Budiansky等所得结果一致。  On the basis of animal nutritive science and the mathematical programming theory, this treatise advances the limited animal nutritive programming model and its special algorithm. And the method of setting up the models in limited form using standard and imcomplete standard. This model occupies the eomputer'smemory units, 16.9％ of which is occupied by the classical simplex method (Csm) and 18.6％ of which is occupied by the dual simplex method (Dsm). And it is over 30 times faster than the Csm and over 8times... On the basis of animal nutritive science and the mathematical programming theory, this treatise advances the limited animal nutritive programming model and its special algorithm. And the method of setting up the models in limited form using standard and imcomplete standard. This model occupies the eomputer'smemory units, 16.9％ of which is occupied by the classical simplex method (Csm) and 18.6％ of which is occupied by the dual simplex method (Dsm). And it is over 30 times faster than the Csm and over 8times faster than the Dsm. Not only can the same nutritive programming problem be solved by using this model on computers, but it can also achieve as accurate results as other methods. There fore the reason for which this model and its algorithm were formed, is to render the animal nutritive programming field a mathematical method with the highest efficiency and accuracy factors for calculating and solving problems.  本文依据动物营养科学和数学规划原理,提出动物营养规划有界模型及其算法,以及有界标准式和有界非完全标准式的建模方法。应用本模型在计算机上解同一营养规划问题时,仅占用相当于经典单纯形法的16.9％和对偶单纯形法的18.6％的机器内贮单元。运算速度比经典单纯形法快30倍以上,比对偶单纯形法快8倍以上。而其解题准确度与此二者等效。因此,本模型和其算法的形成,使得动物营养规划领域具备了最高运算效率、解题准确的数学方法。  The main factors that affect drilling perameters rate and cost are bit type, bit pressure, rotary speed, hydraulic perameters, mud properties and bottom hole differential pressure, To optimize these parameters, it is necessary to establish a multiple drilling rate equation and cost equation, as well as constraints imposed by drilling technology and equipment conditions. Nonlinear programming method can be used for the optimization of each bit run to achieve proper selection of individual parameters and a good... The main factors that affect drilling perameters rate and cost are bit type, bit pressure, rotary speed, hydraulic perameters, mud properties and bottom hole differential pressure, To optimize these parameters, it is necessary to establish a multiple drilling rate equation and cost equation, as well as constraints imposed by drilling technology and equipment conditions. Nonlinear programming method can be used for the optimization of each bit run to achieve proper selection of individual parameters and a good match between them. However, for a whole well optimization which is a combination of a series of optimization of bit run multiinterval decision technique should be considered, and special algorithm should be introduced.  在钻进过程中,影响钻井速度和成本的主要因素是:钻头类型。钻压、转速、水力参数、泥浆性能和井底压差。为了优选这些参数。需要建立多元钻速方程和钻井成本方程。以及反映钻井工艺装备要求的约束条件。对于一只钻头钻进过程的优化,需要采用有约束的非线性规划方法,以解决诸参数的优选和参数间的优配。而全井钻进过程的优化则是一个多阶段的决策问题,其中每一只钻头方案的确定都是一次非线性规划,全井方案又是若干单只钻头方案的组合,解决这样一个复杂问题,需要利用动态规划原理和研究特殊的计算方法。   << 更多相关文摘 
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