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The Total probability formula is an important formula in the probability theory , this text carries on several popularization to this formula, and until probability calculate, margin distribute calculate and foundation of recurrence formula application of carry on some discussions to formula this.

摘要全概率公式是概率论中的一个重要公式，本文对此公式进行若干推广，并对此公式在概率计算、边际分布计算以及递推公式的建立等方面的应用进行了一些探讨。

Take the goose meat as raw materials, make three different flavor goose sausages. Firstly, confirm the optimal formula of goose sausage of primary flavor through the single factor experiment. Then according to the above formula to develop cumin goose sausage and corn goose sausage. Finally we came to the conclusions that the best formula of goose sausage of primary flavor is 100kg goose muscle+2% soy protein+supplementary, the best formula of cumin goose sausage is 100kg goose muscle+2% soy protein+0.3% cumin+supplementary, the best formula of corn goose sausage is 100kg muscle+2% soy protein+12% sweet corn+supplementary.

研究利用鹅肉制作了3种不同风味的火腿肠，首先通过单因素试验确定原味鹅肉火腿肠的最优配方，然后根据原味鹅肉火腿肠的配方进一步开发研制孜然鹅肉火腿肠和玉米鹅肉火腿肠，最后得到原味鹅肉火腿肠的最佳配方为鹅瘦肉100kg+2%大豆蛋白+辅料、孜然鹅肉火腿肠的最佳配方为鹅瘦肉100kg+2%大豆蛋白+0.3%孜然粉+辅料、玉米鹅肉火腿肠的最佳配方为鹅瘦肉100kg+2%大豆蛋白+12%甜玉米+辅料。

In this paper, after taking over coupling effect between electronic spin and orbital angular momentum, to revise the formula of electronic angular momentum in Bohr's theory, and electronic speed formula is obtained in a single-electron system, and to correct the energy level formula of atomic orbit in Schr? dinger's method by relativistic effect, the theoretical improving formula is built for spectrum fine splitting calculation, the calculated values are in good agreement with experimental ones, and reflect changing law of spectrum fine splitting values.

本文在考虑了电子的自旋角动量与轨道角动量的耦合作用后，通过对Bohr理论中的电子运动角动量的修改，推导出单电子体系的电子速度公式，结合对Schrdinger的原子轨道能级表达式相对论效应修正，从而得出本文的氢及类氢离子光谱精细结构值的理论计算公式，应用此改进公式，所得的计算值与实验观测值符合得很好，计算结果也反映了氢及类氢离子光谱精细结构数据变化的规律性。

METHODS: C57BL/6J mice (15/group) were respectively received mash as AIN-93G formula, or 1% cholesterol supplemented AIN-93G formula, or 1% cholesterol and 14% long chain triglyceride rich in myristic acid supplemented AIN-93G formula, or 1%cholesterol and 14% MCT (caprylic acid/capric acid: 3/1) supplemented AIN-93G formula for 6 weeks.

分别用AIN-93G配方饲料，含1％胆固醇的AIN-93G配方饲料，含1％胆固醇和14%富含豆蔻酸的长链甘油三酯的AIN-93G配方饲料，含1％胆固醇和14％的中链甘油三酯的AIN-93G配方饲料喂养C57小鼠6周，每组15只。

By academic analyzing, it is concluded that two order discrete paraxial approximation formula of the paper, multiple transmitting formula and polynomial extrapolation formula are the different forms of continuous paraxial approximation formula, so they are with nearly equivalent precision and stability and with equivalent applicability and limitation.

据此文献[3]将傍轴近似公式归结为一类从特定的无限域模型导出的人工边界条件，并且提出了新的从一般无限域模型导出的具有普适性的、称为"多次透射公式"的局部人工边界条件。那么，是否也可以从一般无限域模型导出具有普适性的傍轴近似公式呢？

Combining Inclusion-Exclusion principle with Disjoint Sum of products formula,the new formula contains terms which correpond one by one to a class of special subnetworks. For a given newtork,terms of new formula are fewer than those of corresponding stryanarayna formula. Finally,an example illustrates our conclusion.

该公式本质上是将容斥原理公式和不交和公式融合在一起，公式中各项和网络的一类特殊子网络一一对应，与相应的Satyanarayanna公式比较，该公式包含更少的项和更少的算术运算，并给出一个算例验证上述这个结论。

Lagrange interpolation focus on the application of the formula .The comparison between the method of Transform and that of Lagrange's interpolation formula in square matrix form is made. Also the form of Lagrange's interpolation formula is generalized to include the double root case.The application of the generalized lagrange's interpolation formula in square matrix to solving state equations is found to be effective.

重点介绍了Lagrange插值公式在状态方程求解中的应用，用对角矩阵及相似矩阵的性质证明了，当状态转移矩阵中方阵的特征根相异时，拉格朗日插值公式与Laplace变换法对表达具有一致性，并用极限方法对方阵含二重根时拉格朗日插值公式的应用进行了推导。

Both upper bound formula and lower bound formula of the global truncation error of Euler method have been derived theoretically.After making certain approximat e processing,the derived upper formula changes into current upper bound formula.

从理论上推导出了欧拉方法的整体截断误差的上限公式和下限公式，作一定的近似后，得到的整体截断误差上限公式就变为现用的整体截断误差上限公式。

Tz summation formula and an extension formula of Sears\' terminating balanced _4Φ_3 series transformation formula and an extension involving multiple sum about finite Heine\'s _2Φ_1 transformation formula are given.

应用推广后的算子，我们给出了q-Paff-Salschütz和公式的推广、Sears终止型的4Φ3变换公式的推广以及多重的有限(来源：a5ABd7C论文网www.abclunwen.com)Heine 2Φ1变换公式。

Though blocking computing matrix,it can decrease the calculation amount of matrix multiplication.Meanwhile,the different simplified formats are presented when computing Duhamel integration with Trapezium formula、Simpson formula、Cotes formula and Gauss formula.

通过分块计算矩阵，能够减小矩阵乘法的计算量，同时分别给出了利用梯形公式、Simpson公式、Cotes公式、高斯公式计算Duhamel积分时的不同简化格式。

According to our present broadcasting situation,the thesis proposes using new technology to update and reform the present HFC. It also suggests broadcasting using self-advantage and arranging EPON in order to win the supermarket.

论文从我国广电的现状出发，结合实际，积极倡导采用新技术更新、改造我国现有的HFC网络；倡导广电现阶段利用自身优势，部署EPON网络来赢取市场。

A new general kinetic equation was derived in which the effect of the removal of condensation water was taken into account completely, and was applied to the polyesterification kinetic study of AA/HPHP and AA/NPG. It was found that the reaction order of self-catalyzed polyesterification was not constant. For these polyesterifications, the reaction order was 2.5 at a low temperature, while 3.0 at a high temperature.

考虑缩合水的排除对反应体系的影响，用体积浓度单位推导出一个新的聚酯反应总包动力学方程，并应用到AA/HPHP和AA/NPG两个聚酯化反应的动力学研究中，研究发现，自催化聚酯反应的反应级数并不是固定值，对于AA/HPHP和AA/NPG两个聚酯化反应而言，低温时反应级数为2.5，高温时反应级数为3.0。