It is very difficult to obtain any idea about the behavior of this function simply from studying the equation.
仅从研究方程本身很难得到该函数行为的任何想法。
So, just to get you used to this idea, I'm going to draw a level surface of a function of three variables OK, so it's a surface given by the equation w of x, y, z equals some constant c.
为了令你们习惯于这个想法，我画一个三变量函数的等值面,这是一个平面,由函数w=c给出的。
z Maybe we don't know how to solve for z as a function of x and y, but our surface is given by some equation.
也许我们不知道如何直接用x，y表示，但是曲面是由某些方程给出的。
x as a function of time, and when you have the correct solution x and you substitute that back into that differential equation, that equation will have to be satisfied.
根据时间的变化，x，is，，of，course，，changing，in，some，way,发生相应的变化，当你得到了,和时间的正确关系，for，x，as，a，function，of，time,你把它代入,这个微分方程，这个等式，就能得到满足。
I now would like to write down, in most general form the equation for the position and the velocity as a function of time for a one-dimensional motion whereby the acceleration is constant.
我来把更一般的形式，写出来吧，在一维空间中，位置和速度，作为时间函数的，一般形式，这里的加速度是一个常数。
So the unknown is a function, and the equation will relate the partial derivatives of that function to each other.
未知量是一个函数，这个方程，将把函数的偏导数联系起来。
Secondly, Aiming at classical mathematics model of Multi-machine System, state equation and transient energy function are putted forward in the center of angle.
针对多机系统的经典数学模型，给出多机系统在角度中心下的状态空间方程及其暂态能量函数。
The sum formulas of several kinds of ordinary series with function term are deduced by using the method of solving linear differential equation.
本文试应用求解一阶线性微分方程的方法导出几类常见的函数项级数的求和公式。
Using separation theorem of convex set and the time terminal value function equation, we obtain the determining method of optimal terminal time as well as the Maximum principle.
由凸集分离定理及终端时间阈值函数方程，我们获得了最大值原理及最优控制时间的确定方法。
For example, the solution of a differential equation is a function.
例如，这个解决方案的微分方程是一个功能。
This is the governing equation, where the thermal conductivity is a function of temperature.
这就是基本方程，其中导热系数为温度的函数。
The local equilibrium distribution function of lattice model evolution equation is constructed by use of multi scale analysis.
它是运用多尺度分析方法，构造出格点模型的演化方程的局部平衡分布函数。
The equation of the molecular orientational distribution function was obtained by two-particle cluster approximation and solved by an iterative method.
在二粒子集团近似下导出了分子取向分布函数所满足的方程，并用迭代方法求解。
In ocean engineering realm, fluid drags are computed by Morison equation with drag coefficient defined by a function of Renold number and attack Angle.
在海洋工程领域，计算软管流体阻力采用莫里逊公式，其中阻力系数是双参数迎角和雷诺数的函数。
An element tangent stiffness equation was derived based on the secant stiffness equation of stability function elements with shear deformation effects considered.
以考虑剪切变形影响的稳定函数单元的割线刚度方程为基础，导出了单元切线刚度方程。
Lagrange's equation in analytical mechanics is the basis of the mechanical vibration theory and the equation with dissipation function is important to this basis.
分析力学的拉格朗日方程是机械振动理论的基础，含耗散函数的拉格朗日方程又是这个基础的重要方面。
Today, a lot of heavy works are produced on theoretic research because the expression of the equation of camber is often a expression of divided function.
目前常用的弯矩方程表达式通常是一个分段函数表达式，这给理论研究带来了许多冗繁的工作。
In this thesis, the Finite Element Method is applied to the solution of the Laplace equation formulated by means of stream function for the calculation of the static hydraulic thrust.
本文通过有限元法求解用流函数表示的拉普拉斯方程，进而计算轴流式机组的静态轴向水推力。
A general solution of differential equation for deflection function in bending problem of orthotropic rectangular thin plate on elastic foundation is established in this paper.
建立了弹性地基上的正交异性矩形薄板弯曲问题挠度函数微分方程的一般解。
Then basing on the free-vortex equation, potential equation and stream function of flow are achieved by mathematical analyze, and solving these equations gives flow fields.
从自由涡运动方程出发，推导出管内流场的势函数和流函数方程，获得了管内流场的数学分析解；
Properties and characters of intrinsic value and intrinsic function of s-l equation are dealt with.
本文叙述了S—L方程的固有值、固有函数的性质和特征。
A general solution of the differential equation for transverse displacement function of orthotropic rectangular thin plates in free vibration is presented in this paper.
本文建立了正交异性矩形薄板自由振动横向位移函数微分方程的一般解。
On the basis of charge balance equation and distribution function, this paper deduced one ubiquitous equation adapted to various acid base titrations .
从电荷平衡方程出发，结合分布函数，导出了适合于各种类型酸碱滴定曲线的普遍性方程。
A general solution of differential equation for free vibration displacement function of compressed rectangular thin plates on two parameters elastic foundation is established.
建立了双参数弹性地基上受压的矩形薄板自由振动位移函数微分方程的一般解，其中积分常数由边界来确定。
Based on the equation of soil water feature curve and the relationship between soil water feature curve and permeability function, the permeability function equation of unsaturated soil is derived.
从非饱和土土水特征曲线方程出发，根据渗透函数和土水特征曲线的关系，推导出了非饱和土渗透函数方程。
Direct method is used in the inverse analysis and the equation of object function is solved with composite algorithm.
反分析采用直接分析法并用复合形法求解目标函数方程。
By using of complex variable function and integral equation method, the antiplane multiple holes and cracks problem of half plane region is considered in this paper.
运用复变函数及积分方程方法，求解了半平面域多圆孔多裂纹反平面问题。
By using of complex variable function and integral equation method, the antiplane multiple holes and cracks problem of half plane region is considered in this paper.
运用复变函数及积分方程方法，求解了半平面域多圆孔多裂纹反平面问题。
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