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Picker-wheel support structure was used in strip label papers of tobacco industry, but it had appeared some problems: picker-wheel vibrates easily, label paper was picked insecurely, and double-shafts generated deformation and linear bearings wear easily. The ultimate cause was founded by analyzing linear bearings stress from statics and dynamics. The original structure of double-shafts one-side support was replaced by two-side support with one fixed end and one free end.

针对FOCKE350S条盒商标纸拾取轮总成支撑结构拾取轮易振动、商标纸拾取不可靠、双轴易弯曲变形、直线轴承磨损快的情况，从静力学和动力学的角度分析了直线轴承磨损快的根本原因；并将原来双轴单侧支撑结构改为双轴双侧支撑，采用一端固定，一端游动的支撑方式。

Picker-wheel support structure was used in strip label papers of tobacco industry, but it had appeared some problems : picker-wheel vibrates easily, label paper was picked insecurely, and double-shafts generated deformation and linear bearings wear easily. The ultimate cause was founded by analyzing linear bearings stress from statics and dynam-c- teplaced by two-side support with one fixed end and one free end.

针对FOCKE350S条盒商标纸拾取轮总成支撑结构拾取轮易振动、商标纸拾取不可靠、双轴易弯曲变形、直线轴承磨损快的情况，从静力学和动力学的角度分析了直线轴承磨损快的根本原因；并将原来双轴单侧支撑结构改为双轴双侧支撑，采用一端固定，一端游动的支撑方式。

Introduce optimization modeling and solution techniques including linear, non-linear, integer, and network optimization, and heuristic methods

介绍最优化模型与求解的技巧（包含线性、非线性、整数、网络最优化与启发式算法

In the forward aspect, the advantages and disadvantages of such methods as finite difference, finite element and integral equation as well as their development trend are discussed. In the inversion aspect, mainly linear and nonlinear inversions are analyzed, with a detailed discussion on the linear inversion methods both in the time domain and in the frequency domain as well as a prediction of their future development trend.

正演方面主要讨论了有限差分、有限元和积分方程法，分析了各种方法的优缺点、适用范围，并指出了未来发展趋势；反演方面主要讨论了线性反演和非线性反演，根据井间电磁波成像的性质，对时间域和频率域线性反演方法分别做了详细论述，并给出了未来发展趋势。

In addition, the linear interpolation problem is discussed, midpoint sampling interpolation and double-point sampling interpolation are provided. The convexconcave property of linear error is studied.

另外本文还研究了并联机床的线性插补问题，提出了中点采样插补法和双点采样插补法，文中对采样偏差的凹凸性进行了分析。

Based on the invariability of the sought for chemical subspace to the linear transformation, a novel approach, called chemical subspace invariant to linear transformation method, is developed for estimation of chemical rank of two way data matrices.

提出了一个新的化学计量学方法，即线性变换下稳定的化学子空间法，用于二维数据的化学秩估计。

It is proved that every Lie derivation of nest algebra is the sum of an associative derivation and a general trace. Every Lie isomorphism between nest subalgebras of a factor von Neumann algebra is the sum of an isomorphism and a general trace or the sum of a negative anti-isomorphism and a general trace. Lie invariant subspace of linear mappings on Banach algebras is introduced, and linear maps from nest subalgebra of a factor von Neumann algebra into itself which satisfy the property that the space of derivations is their Lie invariant subspaces are characterized. Simultaneously, it is shown that such maps are Lie derivations modulo the set of scalar multiple of the identity.

得到Lie导子的特征表示，即套代数上的任何一个Lie导子都是内导子与广义迹之和；给出了Lie同构和同构及反同构之间的关系，即因子von Neumann代数中套子代数之间的任何一个Lie同构要么是同构与广义迹之和要么是负反同构与广义迹之和；引入了Banach代数上线性映射的Lie不变子空间，并给出von Neumann代数中套子代数上以导子空间为Lie不变子空间的线性映射的一个刻画，同时也表明在模去数乘恒等映射的意义下，以导子空间为Lie不变子空间的线性映射就是Lie导子。

The S box was constituted with the multiplication inverse element affined transformation in GF(2) of all elements of limited field GF(28),with S box s nonlinear byte changed,ciphered text attained the ideal status of the even of difference and the linear of deviation,and increased the capability of the AES algorithm of anti beating the difference cipher of analysis and linear cipher of analysis.

S盒由有限域G F(28)上所有元素的乘法逆元及在域G F(2)上的仿射变换构成，经过S盒的非线性字节代换，密文的差分均匀性和线性偏差都达到较理想的状态，提高了A E S算法抗击差分密码分析及线性密码分析的能力。

Inverse M-matrices often occur in relation to systems of linear or non-linear equations or eigenvalues problems in a wide variety of areas including finite difference methods for partial differential equations, input-output production and growth model in economics, iterative methods in numerical analysis, and Markov processes in probability and statistics.

其中包括偏微分方程的有限差分法、经济中的投入产出和增长模型、数值分析中的迭代法以及概率论和数理统计中的马尔可夫过程。

Presents the design of longitudinal control for ASTOVL lift-fan aircraft, a multi-variable, strong-coupling, complicated nonlinear system to make the system nonlinear offset and decouple, and the method used for linear system in designing the system to gain expectant flying qualities and the combination of aerodynamic control surfaces with thrust vectors to delay the control surfaces getting into saturation, and the minimum N-norm generalized inverse theorem of weighted generalized inverse adopted to apportion the moments commands, which make the control surfaces gain appropriate deflection and the simulation results to verify the dynamic inverse control laws designed really make the system nonlinear offset and decouple; when one command is given, only this output will response, and others do not response; when all commands are given together, the responses will be just the linear superpose of the response of each command, therefore the operation of the pilot will be simplified greatly.

摘 要： ASTOVL升力风扇飞机是多变量、强耦合、复杂的非线性系统，采用非线性动态逆理论设计控制律以实现系统的非线性对消及解耦，然后，采用线性系统的设计方法对系统进行设计，以使系统获得期望的飞行品质。同时，考虑到ASTOVL升力风扇飞机是由气动舵面和推力矢量融合作用的，为了延缓各舵面进入饱和的时间，采用加权广义逆中的极小N-范数广义逆定理分配力矩指令，从而使各舵面达到适当的偏转角。并将所设计的控制律进行了仿真，结果验证了所设计的动态逆控制律使系统实现了非线性对消和解耦，单个指令作用时，只有该项响应，其余不受影响；所有指令作用时，其结果就等于单个指令作用时的线性叠加，这样使驾驶员的操纵大大简化而易于控制，从而大大降低了飞行事故率。

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。