计划有规律的执行非平凡的合并。
通过研究截断问题的弱解，我们证明了原问题存在一列非平凡的小解。
By investigating the truncated problem, we could prove that the original problem admits a sequence of small solutions.
当多个人交付冲突性的变更，而处理合并的人必须决定接受什么变更时，就会发生非平凡的合并。
A nontrivial merge occurs when multiple people deliver conflicting changes and the person processing the merge must determine which changes to accept.
我不敢想象自己能写一个非平凡的服务得到的所有对象所需的前面，而不需要创建新的生活在继续。
I can't imagine being able to write a non-trivial service that gets all the objects it could ever need up front, and never need to create new ones as life goes on.
内在纽结与3-链图，即：这个图的每个空间嵌入中都包含非平凡的纽结和分支数为3的非分离链环。
Intrinsically knotted and 3-linked graphs, that is, every spatial embedding of this graph contains nontrivial knot and a non-split 3-component link.
数据库中的知识发现是指在大型数据集中识别有效、新奇、潜在有用、且最终可理解模式的非平凡的过程。
Knowledge discovery in databases is the nontrivial process of identifying valid, novel, potentially useful, and ultimately understandable patterns in large data set.
它是一个非平凡的模式辨识过程，它从大量的数据中寻求正确的、新颖的、具有内在价值的、和最终可解释的模式。
The goal of data mining is to find the correct, novel, valuable and interpretable pattern from the mass data.
一旦这些较大的颗粒大到具有了非平凡重力，他们的增长便会加速。
Once the larger of these particles get big enough to have a nontrivial gravity, their growth accelerates.
扩展提供了一种便利方法，该方法可以解决这个问题和其它几种当您在非平凡数据集上使用xsl时可能遇到的难题。
Extensions provide a convenient way around this and several other possible hang-ups that you may encounter when using XSL on nontrivial data sets.
五族非平凡群具有复杂性和对称性的特例，也更加难于预测。其中复杂部分的细节问题已经困扰了人们近120年。
The five non-simple groups—dubbed“exceptional” in their complexity and symmetry—are harder to envisage and, for almost 120 years, the details of the mostintricate of these have lain beyond reach.
计算理论很好的证明了对一个非平凡系统你不可能核实它的所有的可能的状态。
It's true that computation theory pretty much proves you can't validate every possible state of a non-trivial system.
利用组合理论和图的计数理论，讨论了只含有一个非平凡块的连通图的计数问题，给出了新的结论。
The enumeration problem for connective graphs with one nontrivial block was discussed by the theory of combinatorics, and the new conclusion is also given.
特别是利用广义格林函数证明了高阶齐次方程存在非平凡解的情况下对应的高阶非齐次边值问题存在一解的充要条件。
In particular, we use generalized Green's function to prove that the high-order nonhomogeneous boundary value problem has a solution when the associated homogeneous problem has a nontrivial solution.
在适当的条件下，通过建立一个先验不等式，证明了其唯一非负解是平凡的。
By establishing a prior inequality, we prove that, under suitable conditions, the unique non-negative solutions of the problems are trivial.
目的解决某些图类的导出匹配覆盖问题，特别是两条路的乘积图和非平凡树。
Aim To solve the induced matching cover problem of some graphs, such as the product of two paths and the nontrivial tree.
数据库中知识发现是从数据中识别出有效的、新颖的、潜在有用的乃至最终可理解的模式的非平凡过程。
Knowledge discovery in database can be define as identifying the effective, original, potential and something that ultimately can be understood as the mode of out of common process.
借助相应带不定权特征值问题的第一特征值建立了其非平凡解的存在性定理，其中方程组中特征值参数小于某已知常数。
The existence of a nontrivial weak solution is established with the help of the first eigenvalue of the corresponding eigenvalue problem, where the eigenvalue parameter is less than a known constant.
利用分支理论分析了非平凡周期解的存在性。
Further, the existence of a nontrivial periodic solution is considered by using bifurcation theory.
考虑一类非线性时滞差分方程，用直接计算的方法，证明了它的所有非平凡正解都是发散的。
A class of nonlinear delay difference equations is considered. The non-convergence of nontrivial positive solution of the equations is proved by direct computation method.
本文讨论一类变系数带临界指数的椭圆型方程，主要考虑上述问题的非平凡解的存在性，包括多解与非存在性。
In this paper, we study the existence of multiple nontrivial solutions for the variable coefficient elliptic equations with critical Sobolev exponents.
运用分歧理论，隐函数定理，以及渐近展开的方法，获得了非平凡周期解的存在性。
The existence of co-exist periodic solution is investigated by using the bifurcation theory, the implicit function theorem and the method of asymptotic expansion.
这个结果导致捕食食饵系统的持久性、平凡解和所有半平凡解的不稳定性和不存在非一致平衡解。
The result leads to the permanence of the prey-predator systems, the instability of the trivial and all forms of semitrivial solutions, and the nonexistence of nonuniform steady-state solutions.
获得了解的整体存在惟一性，并给出了非平凡平衡解局部渐近稳定性易验证的充分条件。
The global existence-uniqueness of solutions is obtained and the easy verifiable sufficient conditions for local asymptotic stability of a non-trivial steady-state solutions are given.
最后由积分方程的离散化方程组有非平凡解的条件，求得固有频率。
Finally, natural frequency is obtained by the existence condition of nontrivial solution of the discrete algebraic equations derived from the integral equations.
借助特征值法，研究相应弹性变形非平凡解的P-稳定性。
With the aid of eigenvalue, the P-stability of some non-trivial solutions of the mathematical model is achieved.
考虑一类非线性时滞差分方程，用直接计算的方法，证明了它的所有非平凡正解都是发散。
The non-convergence of nontrivial positive solution of the equations is proved by direct computation method.
知识发现是从数据集中识别出有效的、新颖的、潜在有用的，以及最终可理解的模式的非平凡过程。
Knowledge Discovery is the non-trivial process that distinguish effective, innovative and potentially useful, and ultimately understandable pattern from the amount of data.
数据挖掘是从海量数据中获取有效的、新颖的、潜在有用的知识，并最终形成可理解的模式的非平凡过程。
Data mining is a non-trivial process which is to obtain effective, novel and potentially useful knowledge from the mass of data and ultimately form understandable patterns.
尝试是引用光谱定理而得到正规算子恒有非平凡不变子空间的结论。
The cheapest way to get one is to invoke the spectral theorem and to conclude that normal operators always have non-trivial invariant subspaces.
尝试是引用光谱定理而得到正规算子恒有非平凡不变子空间的结论。
The cheapest way to get one is to invoke the spectral theorem and to conclude that normal operators always have non-trivial invariant subspaces.
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