此方程的柯西问题的格林函数解是一分数稳定分布密度函数。
The solution of this fractional order advection-dispersion equation is fractional stable probability distribution density with four parameters.
应用复变函数论的方法，简洁地给出了的一切有理数解和一切整数解公式。
In this paper, the general rational solutions and the general integer solutions of are given.
针对混合料配合比设计中矿料组成设计常用方法的局限性，提出一种新的数解迭代法。
Aiming at limitation of common design method for mineral aggregate composition in mix proportioning, the paper advances a new numeral solution-relaxation for proportion.
本文给出一个不定方程非负整数解的组数的组合计数公式，说明了它在求解一类与数字有关的古典概率方面的应用。
This paper introduces the problems of some identical equation solved by the numerical characters of the classic probability and stochastic variable.
但我说了，我们还有，其它的量子数，当你解，psi的薛定谔方程时，必须要，定义这些量子数。
But, as I said before that, we have some more quantum numbers, when you solve the Schrodinger equation for psi, these quantum numbers have to be defined.
未来是什么，永远是个未知数。不过我要通过有限条件尽量缩小无限解的个数。
The future is always unknown. However, I will try to minimize the infinite solutions by finite conditions.
对于那些不相信有智慧的造物主的物理学家而言，要解决这个让人百思不得其解的立论，就需要令现今人类可观测到的宇宙是不定数量数的宇宙(每个都有自己的物理法则)中的唯一一个。
The way out of this, for those unwilling to invoke an intelligent creator, is to allow that the observable universe is just one of an indefinite number of universes, each with its own laws of physics.
并证明了如下结论：用这个方法得出的近似解，当阶梯数趋于无穷时趋于真解。
The following result is proved. The approximate solution by this method approaches the true solution if the number of the steps approaches the infinity.
显然答案肯定比拉丁方阵的解来得少，因为数独多了各宫限制的条件。
Clearly, the answer has to be smaller than the number of Latin squares because of the added constraints imposed by the subgrids.
本文研究了四元数量子力学中一类要求其解是正规或可对角化四元数矩阵的特征值反问题。
One kind of inverse eigenvalue problems, whose solutions are required to be normal or diagonalizable matrices, is investigated in quaternionic quantum mechanics.
这是一种将GPS与数传技术相结合，实时解算并进行处理，在1 ~2秒时间内得到高精度定位信息的技术。
This will be a GPS and digital technology, real-time solution and processed in 1 to 2 seconds within the high-precision positioning information technology.
仿真表明，与传统四元数算法比较，该方法在解算系统姿态的同时，能够较好地平滑噪声的影响。
The simulation results show that compared with the traditional quaternion algorithm, the method can smooth the effect of noise while resolving the system attitude.
利用热弹体运动方程和热传导方程耦合问题的变换域解，求解其极点留数的解析表达式。
For the transformed solution of the thermoelastic and heat conduction equations coupled problem, the analytical representation of the pole residues is obtained.
介绍四元数的概念及运算性质，提出基于单位四元数的空间后方交会解算方法并给出计算公式。
The concept of quaternion and its operation rules were introduced first, then formulae for space resection based on unit quaternion were deduced.
首次用数值解方法研究了考虑毛管数效应、非达西效应及其耦合作用高速流动效应下凝析油气混合物渗流规律。
This paper studies the two-phase flowing characteristics in gas condensate reservoir considering the capillary number effect and non-Darcy effect based on numerical solution method firstly.
火车上，许翎对母亲的这次安排百思不得其解：究竟是什么原因，使得母亲如此坚决地让自己放弃济南，去选择一个陌生、充满未知数的城市呢？
On the train, Xu Lin still could not comprehend it fully: why?Why did her mother so determinedly wanted her to leave Jinan for a city that was strange and full of uncertainties.
利用一种新的模糊数排序准则，将约束条件中含有梯形模糊数的模糊线性规划转化为经典的线性规划，进而求得了原模糊线性规划的最优解。
Fuzzy linear programming with trapezoid fuzzy Numbers in restricted condition is transformed into classical linear programming by using a new ranking criterion, and an optimal solution is obtained.
研究对角占优矩阵原位替换解算方法，包括矩阵行列式、矩阵方程未知数和矩阵逆阵的解算。
The calculation methods of diagonally dominant matrix in-situ replacement are researched, including the matrix determinant, the matrix equation unknown and the matrix inversion computation.
当你们解相对论形式的，薛定谔方程，你们最后会得到两个，可能的自旋磁量子数的值。
And when you solved the relativistic form of the Schrodinger equation, what you end up with is that you can have two possible values for the magnetic spin quantum number.
值得注意的一点是我是用的INSTANCE方式复制，因为它在硬件解算方面能节省很大的资源。现在，模型面数接近3百万。
One important thing to notice is that I made the cloning as INSTANCE and that makes a big difference on the hardware calculations. the tower stands at around 3 million polygons.
随着数字式弹载计算机的使用，自动驾驶仪能够很方便地实现系统变参数设计，在不同的马赫数及不同的飞行状态下，通过弹载计算机的解算来实时装订系统参数。
But now the parameters of digital autopilot system can be easily designed, changed and loaded at real-time, at different flying states and at different Mach Numbers by missile-borne computer.
使问题的维数，对各级渐近解而言，降低了一维。
For every order of the asymptotic solution, the dimensionality of the problem has been decreased by one.
文中引用双曲数与双曲复函数，证明了上述边值问题的解在一般区域上的存在性。
The so called hyperbolic numbers and hyperbolic complex functions are introduced and used, and the existence of solutions for the above problem in the general domains is proved.
将一般解析解代入边界条件，用正弦数加角点条件的方法确定待求系数。
The general analytic solutions satisfy the boundary conditions and the conditions at the corner points. The unsolved coefficients are worked out by the sine series method.
应用本法计算了一些有严格解的流动，从而给出了推荐使用的展开流线数及计算站数；
It makes the application of the mean-stream-line method in large space cascade design possible with the optimized given velocity distribution along suction surface also guaranteed.
通过取不同CFL数计算表明：在能得到非定常稳态解的情况下，取小CFL数更能真实地反映非定常时间历程，具有更高的可信度。
Application of different CFL numbers show that using less CFL number can describe the unsteady course more detaily and has higher reliability.
牛顿迭代法也称为牛顿切线法，是解非线性方程的一种方法，通过实例对该方法进行了介绍，包括其理论依据、误差估计、收敛阶数、迭代法初始值的选取规则等。
This paper introduces the method with examples to explain it, including its connective knowledge, theory bases, error estimation, convergence order, and the choosing rule for starting value of it.
牛顿迭代法也称为牛顿切线法，是解非线性方程的一种方法，通过实例对该方法进行了介绍，包括其理论依据、误差估计、收敛阶数、迭代法初始值的选取规则等。
This paper introduces the method with examples to explain it, including its connective knowledge, theory bases, error estimation, convergence order, and the choosing rule for starting value of it.
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