Text auto-categorization is a process of text auto-differentiation under a given condition.
文本自动分类方法是指在给定的分类体系下，根据文本的内容自动判别类型的过程。
It is expected that the laser output will be directly proportional to the relaxation rate under a given condition when the laser flux is near saturation.
理论预期，在一定条件下，当激光流接近饱和流时，激光输出比例于弛豫速率。
Under a given condition, strength expressions of rod string is discussed and a linear diagram is derived which can be used to check the strength of rod string.
在某一给定条件下，对满足抽油杆柱强度要求的关系式进行了讨论，并绘制出了可校核抽油杆柱强度的线性关系图版。
The most favorable to a given type of fermentation under one condition will be altered by slight changes in a controlling factor.
对某条件下最为有利的给定发酵模式，也会因控制因素的微小变化而改变。
The basic seismic intensity of a region is defined as the maximum intensity to be suffered within a given interval of time in the future under the site condition of that region.
地震基本烈度是指某地区今后一定时期内，在一般场地条件下可能遭受的最大烈度。
This paper tries to define metric function for homeomorphic mapping, and a sufficient condition of bounded metric function is given, under which a upper bound of metric function is defined as well.
对于一个同胚映射，本文给出了度量函数的定义，并且给出了度量函数有界的一个充分条件及在此充分条件下度量函数的一个上界。
Matter does not exist in the Universe under the condition of gravitational magnetic field of a given environment, forces, appearance of a matter, according to a strength which is created.
因为宇宙中并不存在物质，那只是在特定的磁引力场环境下，根据场强的不同表现为物质。
Under such condition, it must be given a design for consolidation and support.
边坡处于不稳定状态，必须进行加固支护设计。
A strict mathematical deduction is conducted under given boundary condition, then the analytical solution of oil droplet's transport and diffusion equation is presented.
在所给定的边界条件下，进行严密的数学推导，给出了油滴输移扩散方程的解析解。
The emphasis is placed on the calculations of the critical temperature difference of the possible crystallization for the metastable graphite under a given crystallizing condition.
重点给出在一个结晶条件下亚稳相石墨可能结晶的临界温度差的计算。
Based on this, the sufficient and necessary condition under which a set of GD-Constrai NTS is a minimal cover is given.
在此基础上，给出了一个GD -约束集成为最小覆盖的充要条件。
A new method to design an IIR filter is proposed under this condition of infinite impulse response given from a new Angle.
文章从一个新的角度提出了一种在给定冲击响应条件下IIR滤波器的设计方法。
In the end, this paper designed the main framework of a meteorology information service grid under our school's actual condition and the implement method was given.
最后论文针对我校实际情况设计了气象信息网格的总体框架，并给出了实现思路。
A linear integral invariant, a universal integral invariant and an absolute integral invariant of second order of the system are obtained under the given condition.
给出系统存在积分不变量的条件，在此条件下导出系统的线性积分不变量、通用积分不变量和二阶绝对积分不变量。
The fixed point theorems for expansion mappings and the common fixed point theorem for a pair of mappings are given in 2 metric spaces under the condition of weakening mappings continuance.
在2—距离空间中减弱映射的连续性条件下，给出了扩张映射的不动点定理及扩张映射对的公共不动点定理。
Under the condition of given data statistical distribution, a new algorithm for statistical classification and quick sorting was implemented.
提出了给定待排数据概率分布函数情况下的概率统计分“档”快速排序算法。
From the viewpoint of control theory, the artificial lighting control strategy was given indirectly under the condition of a given constant illuminance and it could realize the lighting energy saving.
从控制理论的角度，间接给出了恒定照度下人工照明的补偿控制策略，以实现照明节能。
Full essential condition is given, under which a sequence and its inverse sequence together with their equivalent translating sequences can be used to construct remote-control command code set.
给出了序列及其反序列的平移等价序列共同做为遥控指令码集的条件。
Optimal income taxation is primarily aimed at balancing fairness and efficiency, and ascertaining the level of optimal marginal tax rate under a given equity preference condition.
最优所得税主要探讨税收如何兼顾公平与效率问题，以及给定公平偏好程度下，如何确定最优边际税率水平。
A general method for finding incentive strategies under partial information is given, and the existence condition of affine incentive strategies in the Jinear quadratic case is obtained.
并对线性二次情形提出了仿射型激励策略所应满足的充分条件。
Using the F hypercenter of minimal subgroups, this paper gives a sufficient condition under which a soluble group belongs to a given formation F.
设F是任一子群闭的局部群系，利用极小子群的F超中心性，给出一类可解群属于F的一个充分条件，由此得到一些群的结。
The experimental modal analyses have been done under static condition and high-speed rotating condition for a given thin cylindrical shell by using shock vibration excitation method.
对一圆柱薄壳在静止状态和高速旋转状态下进行了模态试验。
Results of the paper show clearly that ROLA of the chain network is the unique equivalent under a certain condition, and has given an optimum allication scheme.
结论指明，在一定条件下，该网络的可靠度最优布局是等效唯一网络，并给出了最优布局方案。
The problems of classification of karstic water qualities are solved by using statistical method of projection trace herein under the condition of a given projection index.
在一个给定的投影指标情形下，利用投影寻踪统计方法解决岩溶水水质分类问题。
Practically a series of temperature of asphalt under given condition works as state changing temperature, called asphalt temperature state point.
实用上只能用一系列规定的条件状态时的实际温度，作为其状态转变温度，此温度称为沥青的温度状态点。
The global convergence results are given for the nonmonotonic trust region technique. Furthermore, the proposed algorithm is superlinearly convergent under a certain growth condition.
证明了此方法的全局收敛性，并给出了它在一定条件下的超线性收敛的结果。
In this paper, a strict mathematical deduction is finished under given boundary condition, then the analytical solution of oil droplet's transport and diffusion equation is followed.
在所给定解条件下，进行严密的数学推导，给出油滴输移扩散方程的解析解。
The distribution of reflected light of return reflecting fabric under the condition of the sphere lens is given and the experimented verificatinons are made with a glass cylinder.
在球透镜原理下，给出了回归反光织物反射光的分布曲线并进行了验证。关键词反光印花；反光织物；反光防护服中?。
The condition under which the form invariance can lead to a conserved quantity and the form of the conserved quantity were deduced, and three corollaries in special cases were given.
得到形式不变性导致守恒量的条件以及守恒量的形式，并给出三种特殊情形下的推论。
The condition under which the form invariance can lead to a conserved quantity and the form of the conserved quantity were deduced, and three corollaries in special cases were given.
得到形式不变性导致守恒量的条件以及守恒量的形式，并给出三种特殊情形下的推论。
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