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   是光滑函数 的翻译结果: 查询用时:0.509秒
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是光滑函数
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  a smooth function
     n this paper,the author considers the initial boundary value problem for the nonlinear parabolic equation ui=(um)xx+up under the Neumann or the periodic boundary conditions. It is proved that the blow-up set is a finite set and that lim u(x,t) =ρexists,with ρ being a smooth function having at most finitely many singular points.
     考虑一维非线性抛物型方程ut=(um)xx+up在周期边界条件或Neumann边界条件下的初边值问题.证明blowup集是有限和极限limu(x,t)=ρ(x)存在,ρ除了至多有限个奇点外是光滑函数
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  “是光滑函数”译为未确定词的双语例句
     There are constants M,m>0,m≤a(x),b(x), β(x)≤M, and a(x),b(x),β(x) are all smooth functions. The asymptotic behavior for minimizers of functional is studied with the small parameter tending to zero.
     存在正常数M,m>0,m≤a(x),b(x),β(x)≤M,且a(x),b(x),β(x)是光滑函数.
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     In this thesis we consider the numerical solution of two dimensional Fred-holm integral equations of the second kindwhere a(x, y, u, v) are smooth functions and g(x, y) are in L~2[-1,1]~2. We discuss interpolating functions of four variables and use interpolating polynomials to approximate the kernel function a(x, y, u, v).
     在本文中,我们提出一种快速算法求解带有光滑核函数的二维第二类Fredholm积分方程的数值解,其中a(x,y,u,v)是光滑函数,而g(x,y)在L~2[-1,1]~2中。 我们用数值积分方法离散积分方程,从而得到线性方程组
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  相似匹配句对
     Convexity of Nonsmooth Functions
     非光滑函数的凸性
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     SOME PROPERTIES OF W-SEMISMOOTH FUNCTIONS
     W-半光滑函数的几个性质
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     However,output responses are nonsmooth in most practical applications.
     但实际应用中遇到的大多数函数都光滑函数.
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     Nonsmooth Lyapunov functions are obtained by maximizing finitely many smooth functions.
     考虑Lyapunov函数非光滑的,特别有限个光滑函数的极大值函数.
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  a smooth function
This method is based on the principle of the equivalence of two bodies, one of which has a cross section of arbitrary shape while the other has a cross section described by a smooth function.
      
It is proved that the property of a manifold Mn possessing a smooth function with given numbers of critical points of each index is homotopic invariant if Wh(π1 (Mn)) = 0 and every Z(π1 (Mn))-stable free module is free.
      
Let f(x) be a smooth function on the circle S1, x mod 1,
      
The Cantor set as an ω-limit set for iterations of a smooth function on a segment
      
An existence criterion for a smooth function under constraints
      
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Un using the small amplitude long wave theory to treat the open drain nusfeady flow in the upper and lower stream of a hydroelectrostation, the problem of daily adjustment is reduced to the following partial differential equation: with the initial conditions and the nonliear connection where U_0, I_0, g, Q_0 are fixed constants, and q_0 (s), q_1 (s), f(t) are sufficiently smooth functions. We prove in this paper that if the condition [q_0(O)+Q_0-1/2(gH_0)~(1/2)(1-F_r~2)ΔH_0]~2≥a>0 is satisfied,where ΔH_0=f(O)/[q_0(O)+Q_0]is...

Un using the small amplitude long wave theory to treat the open drain nusfeady flow in the upper and lower stream of a hydroelectrostation, the problem of daily adjustment is reduced to the following partial differential equation: with the initial conditions and the nonliear connection where U_0, I_0, g, Q_0 are fixed constants, and q_0 (s), q_1 (s), f(t) are sufficiently smooth functions. We prove in this paper that if the condition [q_0(O)+Q_0-1/2(gH_0)~(1/2)(1-F_r~2)ΔH_0]~2≥a>0 is satisfied,where ΔH_0=f(O)/[q_0(O)+Q_0]is the initial Water-level difference between the npper stream and lower stream, F_r=U_0/(gH_0)~(1/2) is the Froude constant, then the above problem is crrectly stated in a suitable time interval.

对电站上下游的明渠不恒定流动用微幅波理论来处理,日调节问题就将被归结为下述数学问题; {α~2q/αt~2+2U_0(α~2q/αtαs)-(gH_0-U_0~2)α~2q/αs~2+2I_0g/U_0 αq/αt+3I_0g αq/αs=0, {q=0=q_0(s), {qt=0=q_1(s), {(q(0,t)+Q_0){integral from n=0 to t αq/αs(0+,η)-αq/αs(0_-η)dη+f(0)q_0(0)+Q_0}-f(t)。其中U_0,H_0,I_0,g,Q_0均为确定的常数,而q_0(s),q_1(s),f(t)均为充分光滑的函数。我们用双曲型方程混合问题的处理方法,结合了中间的非线性连结条件,得到了结论;当条件 [q_0(g)+Q_0-1/2gH_0~(1/2)(1-F_τ~2)△H_0]~2≥α>0被满足时,那末在一定的时间段内,问题是适定的。其中△H_0=(f(0)/q_0(0)+Q_0)是电站上下游的初始水位差,而F_τ=U_0/gH_0~(1/2)是弗劳德数。

In this paper a study is given for the boundary value problems (including free boundary problems) of quasilinear systems of PDE in two independent variables, these problems are considered on the angular regions and in the class of sufficient smooth functions. The obtained local solvable condition may be described briefly as follows: at the vertex of the angular region the derivatives of any order can be detemined uniquely by the equations and boundary value conditions. It has no contract nature. The application...

In this paper a study is given for the boundary value problems (including free boundary problems) of quasilinear systems of PDE in two independent variables, these problems are considered on the angular regions and in the class of sufficient smooth functions. The obtained local solvable condition may be described briefly as follows: at the vertex of the angular region the derivatives of any order can be detemined uniquely by the equations and boundary value conditions. It has no contract nature. The application of this result to the one dimension aerodynamics problems is also given

本文在充分光滑的函数类中研究了二自变数拟线性双曲型方程组在角状区域上的各种边值问题,包括不定边界问题.所得到的局部可解性条件可略述为:在角状区域的顶点依据方程和边值条件能够唯一地决定各阶导数.它不具有压缩特性.文中还给出了这个结果对于一维空气动力学问题的应用.

In this paper a numerical method of branching of solutions of nonlinear equations F(x;λ)=o is discussed, where F:R~n×R→R~n are sufficientlly smooth functions. Suppose(x,λ)is its any known singular point.when Jacobi matrix of F at singular point has rang n-1, by means of classical Newton-Polygon theory we present a new numerical method which may diterminate numbers of bnanching from singulr point and new started points on the branching solutions.Different from Newton-Polygon method, our method needs not to compute...

In this paper a numerical method of branching of solutions of nonlinear equations F(x;λ)=o is discussed, where F:R~n×R→R~n are sufficientlly smooth functions. Suppose(x,λ)is its any known singular point.when Jacobi matrix of F at singular point has rang n-1, by means of classical Newton-Polygon theory we present a new numerical method which may diterminate numbers of bnanching from singulr point and new started points on the branching solutions.Different from Newton-Polygon method, our method needs not to compute derivatives, but only valuation of functions itself, so that it is available in particular application. At the end ofthis paper a few numerical examples are given.

本文讨论了非线性方程F(x;λ)=o的分支解的数值方法,其中F∶R~2xR→R~n是充分光滑的函数。设(x,λ)是一个已知奇点。当F的Jacobi矩阵在奇点的秩为n-1时,我们利用古典的牛顿多边形理论提出了一种计算由奇点分叉出去的解支个数和分叉解支上的新起点的新的数值方法。和牛顿多边形方法不同,我们的方法不需要计算导数值而只需要计算函数值本身,因而在具体应用中是行之有效的。本文的末尾给出了一些数值例子。

 
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