广义相对论是错误的，因此弗里德曼方程不适用。
General relativity is incorrect and therefore the Friedmann equations are not applicable.
由数值求解均匀的玻尔兹曼方程，计算出低压直流氩放电中电子的能量分布。
Electron energy distributions of direct-curent argon discharges at low pressures were calculated by numerically solving the homogeneous Baltzmann equation.
本文从含有变光速的度规出发考虑了宇宙的演化并给出了修正的弗里德曼方程。
We start from the metric containing a varying speed of light to investigate the cosmological evolution and give the modified Friedmann equations.
采用五速正方晶格玻尔兹曼模型，由晶格玻尔兹曼方程推导得到了反应扩散方程。
We proposed a five-speed lattice Boltzmann method to investigate the evolution of the reaction-diffusion system.
现在，在波尔兹曼方程方程里，我们要追踪中子，所以我们需要，能将流量拿出并除以速率。
Now in the Boltzmann Equation we wanna track neutrons so we need to take the flux and divide it by the velocity.
在波尔兹曼方程方程的流量是，表现的是，我不会每次都重复一遍，位置，能量，方向，时间。
And the flux in the Boltzmann Equation is represented as, and I will not repeat it every time, location, energy, direction and time.
我现在尝试介绍波尔兹曼方程，因为它给你们一个比扩散理论，更深刻的理解，在解释，发生的事情方面。
Let me now try and introduce the Boltzmann equation because it basically gives us a much deeper appreciation than diffusion theory can in terms of what's going on.
通过对熵方程分析表明，BGK波尔兹曼方程严格满足熵条件，从而阐释了BGK模拟方法满足熵条件。
The analysis on the entropy equation shows that the BGK Boltzmann equation meets the entropy condition strictly, implying that the BGK method meets the entropy condition.
弗里德曼方程派生自爱因斯坦的广义相对论。这两个方程式描述了整个宇宙的生命历程——由宇宙大爆炸时的暴烈到不断加速膨胀后的死寂。
Derived from Einstein's theory of General Relativity, the two Friedmann equations describe the life of the entire universe, from fiery Big Bang birth to chilly accelerated expansion death.
有了曼德尔勃特集合，蔬菜和二次多项式都变得有趣多了。这个方程序表现了类似图中的花椰菜菜籽的重复的复杂性。
Both vegetables and quadratic polynomials are made more interesting with the Mandelbrot set. The formula explains the repeating complexity of broccoli heads like this one.
佩雷尔曼的定理远远超过证明这些“不存在”的断言，正如怀尔斯证明的定理所告诉你的东西要多于一类方程不存在整数解这个结论。
Perelman's theorem goes far beyond proving this "non-existence" claim, just as Wiles' theorem tells you much more than non-existence of integer solutions of certain equations.
这幅图片展示了曼德尔勃特集合(Mandelbrotset)与离散混沌动力系统(logistic map)之间的一致性，这解释了复杂而无序的行为可以由简单的非线性动态方程序中得出。
This graph shows correspondence between the Mandelbrot set and the logistic map, which explains how complex, chaotic behavior can arise from simple non-linear dynamical equations.
佩雷尔曼博士利用广为人知的“瑞奇流（Ricci flow）”这样一个热方程来证明了庞加莱猜想。
Dr Perelman proved Poincaré's conjecture by taking an equation normally used to model heat dissipation in three-dimensional objects, known as Ricci flow.
分析了拉曼散射方程的边界问题，详细的描述了两种边界问题解决方法；
The boundary problems of Raman scattering equations are analyzed and two methods of solving the boundary problem are described detailedly.
由于状态和观测方程都是非线性的，故采用了扩展的卡尔曼滤波器。
Due to the nonlinearity of the state and measurement equations, the extended Kalman filter is used.
首先介绍了卡尔曼滤波理论的应用背景，然后推导了离散卡尔曼滤波方程，并对连续系统的状态方程进行离散化。
At first, the application background of Kalman filter theory is introduced. Then, discrete Kalman filter equations are derived, and state equations of continuous system are discreted.
本文以T42数值预报产品为因子，用卡尔曼滤波方法建立可更新系数的预报方程作南京和芜湖的温度预报。
The temperature forecasting equation with renewed coefficients are set up by using Kalman filter technique based on the factors of T42 productions for forecasting in Nanjing and Wuhu.
卡尔曼滤波的主要思想，是用状态方程和量测方程描述线性动态系统。
The main idea of Kalman filtering is to describe the linear dynamic system using state equation and measurement equation.
结合实际重力仪的系统状态方程和系统量测方程，提出了级联卡尔曼滤波方法，并将其应用于重力异常畸变信号的校正处理中。
Combined with the system state equation and the measurement equation, a new method of the cascade Kalman filter is proposed and applied to the correction of gravity anomaly distortion.
本文总结了计算黑克、布劳、及伯曼温采尔代数在各种工数链下诱导及分导系数的线性方程方法（LEM）。
The Linear Equation Method (LEM) for evaluating induction and subduction coefficients of Hecke, Brauer, and Birman_Wenzl algebras in various algebraic chains is reviewed.
导出了卡尔曼滤波应用于GPS监测系统的状态方程和观测方程的纯量形式和矩阵形式，给出了系统的滤波方程。
This paper puts forward the state equation and observation equation in matrix and simple, and gives the system filtering equation when Kalman filtering is applied to the GPS monitoring system .
对各方程序卡尔曼滤波，通过T -SFIMMA算法进行基于T - S模糊模型的自适应卡尔曼滤波计算，实现系统模型的实时跟踪与自动转换。
Kalman filter of the kind of equations was calculated with T-SFIMMA algorithm based on adaptive Kalman filter algorithm of T-S fuzzy model, realize the tracking and automatic switchover of models.
根据卡尔曼滤波新息过程的统计特点，将新息过程部分反馈到DR方程以抑制DR的误差发散。
Innovations of FKF are partly fed back to DR equations to restrain the accumulation of error according to the characteristic of innovations.
本文基于NGMIMU九加速度计配置方案，利用卡尔曼滤波器抑制误差的累积，并且推导了卡尔曼滤波器的状态方程和预防方程。
To alleviate the accumulation error, a Kalman-filtering approach based on a nine-accelerometer configuration of NGMIMU is proposed. The state equation and estimation equation are also deduced.
在建立目标机动模型与测量方程的基础上，运用修正增益扩展卡尔曼滤波（MGEKF）算法，实现对机动目标进行定位与跟踪。
On the basis of building target movement model and measuring equation, applying MGEKF algorithm, realizes the locating and tracking for mobile target.
同时利用卡尔曼滤波误差方程对自主导航算法进行误差分析，并将两种分析结果作比较。
At the same time, we use Kalman filter error equations in errors analysis for autonomous navigation algorithm, and compare the analysis results of the two methods.
首先介绍了卡尔曼滤波理论及相关技术，建立了系统卡尔曼滤波的状态方程和观测方程；
The Kalman filter theory is introduced and the dynamic error vector equation of the initial alignment is derived at the first.
本文将开口和闭口薄壁理论统一在乌曼斯基假设之下，建立开口和闭口薄壁杆件统一的基本微分方程序。
In this paper, on the base of Ullmanski's hypothesis, the unified beam theory of thin walled open and closed cross-section and the governing differential equations are established.
该奖项在1815年颁发给个索菲。热尔曼，一位著名的女数学家，她推导出了正确的四阶差分方程。
The prize was awarded in 1815 to Sophie Germain, a celebrated woman mathematician, who derived the correct fourth-order differential equation.
该奖项在1815年颁发给个索菲。热尔曼，一位著名的女数学家，她推导出了正确的四阶差分方程。
The prize was awarded in 1815 to Sophie Germain, a celebrated woman mathematician, who derived the correct fourth-order differential equation.
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