查询词典 quadratic

Consideration of size leads to a general proposition for quadratic forms in normal variate which gives conditions for a class of test statistics, which are chi-square under correct specification, to be oversized under misspecification.

正态变量的二次齐次式给出了一类统计检验的条件，对大小的考虑引出了一个对其一般性的命题，即在分类正确若为卡方分配，在分类有误时将有向上偏误。

The method is obtaining the ground state of the Hamiltonian which is constructed by general quadratic form of generalized coordinates and momenta.

方法是求得一维和二维以及n维由广义坐标和广义动量的一般二次型构成得哈密顿量的基态，由此可以求得各能级的本征态。

In order to meet the discharge norm of the contamination concentration limit, zone generalized predictive control is adopted which transforms the conventional quadratic objective of the MPC into a linear programming with soft constraints; besides, considering the wastewater treatment plants energy-saving targets, a multi-objective predictive control is formulated and finally hierarchical multi-objective optimization algorithm is applied for on-line optimization solution.

根据污水处理过程的实际要求，为了满足氮浓度的排放标准区间要求，研究了污水处理过程的区间广义预测控制策略，把预测控制的常规二次目标转化为带软约束问题的线性优化问题；同时考虑到污水处理的能耗，在出水水质目标之上建立了能耗最小目标，得到了污水处理的多目标预测控制，最后采用分层多目标优化算法进行在线优化求解，得到污水处理过程的多目标预测控制。

The topics covered in these sections are the geometric interpretation of systems of linear equations, the classification of finite symmetry groups in two and three dimensions, the exponential of a matrix and its application to solving systems of first order linear differential equations with constant coefficients, and Hurwitz's theorem on the composition of quadratic forms.

这些条文所涉及的主题是线性方程组的几何解释，在两个和三个有限对称群的分类方面，一个矩阵及其应用，以解决一阶常系数线性差分方程，系统指数赫尔维茨定理在二次形式组成。

Under appropriate conditions, we obtain the global and quadratic convergence of the proposed method.

在适当的条件下，我们证明了算法的全局收敛性和二阶收敛性。

Under mild conditions, we prove that our algorithm has the properties of global convergence and quadratic convergence.

在适当的条件下，证明了算法的全局收敛性和二次收敛性。

Of the Quality Management Dept. has introduced more than 80 specialized testing equipments for various component testing. It has two professional testing labs. The inspecting building covers an area over 1,000㎡, equipped with high/low temperature testing chamber, ultra-low temperature testing chamber, xenon aging testing chamber, dynamic balance tester, RoHS tester, salt fog testing chamber, quadratic element microscope, goniometry meter, temperature rise tester, and relative advanced testing and inspection instruments.

品质管理部IQC课拥有80余种零部件专业测试设备，拥有二个专业试验室（RoHS实验室和盐雾实验室），检验场地建筑面积1000多平方米，拥有高低温试验箱、超低温试验箱、氙灯老化试验箱、动平衡测试仪、RoHS测试仪、盐雾试验箱、二次元显微镜、亲水角测试仪、温升测试仪等先进检验试验设备

In this thesis the process of constructing the non-perturbative Hamiltonian theory is de-scribed and is applied to estimate the vacuum condensate. It contains the following contents:At the very beginning, by using the path integral method and eliminating the gluon freedom, aGCM action 〓 of current quarks including lower order current-current coupling was derivedfrom the QCD Lagrangian and the effective Hamiltonian operator that could hardly be doneby the normal methods was derived. After doing this, the broken vacuum is introduced whichincludes quark-antiquark condensate through the generalized Bogoliubov-Valatin transformation,the effective Hamiltonian of constituent quark was derived. The detailed formulas containingthe spatial current-current coupling term for the effective Hamiltonian and gap equations wasworked out by parameterizing the correlation kernel as a quadratic potential. And then, the gapequation was solved and the quark-antiquark condensate of vacuum was studied both in the casesof instantaneous interaction and retarded interaction. In the end, the effective Hamiltionian withtwo-body quark-quark interaction was derived with one-body approximation, and with the helpof the functional integral method the coupling non-linear dynamic equations for systems withnuclear matter was derived. Finally, these equations were solved by selfconsistent method andthe effect of nuclear matter on vacuum condensate was studied. The spatial current-current coupling term is too difficult to handle, hence the correlationkernel is assumed to be not important and usually omitted in the pure vacuum condensate, andthe instantaneous interaction generally is adopted. Retaining the spatial current-current termand partial retardation effect, the quark pairs condensate in pure vacuum was studied, and theeffect of quark mass was also studied. At present, little study is focused in the case with nuclearmatter and spatial current-current term also omitted. Under the approximation with partialspatial current-current term, the effect of nuclear matter on vacuum condensate was studied.

本论文描述了量子色动力学整体色对称模型哈密顿量方法的构建过程，得到了反映正反夸克对凝聚真空结构的关于组分夸克的有效哈密顿量算符，它隐含了胶子作用，并且准确至流-流耦合项；接着，通过参数化哈密顿量中的夸克作用关联核，导出平方禁闭势参数化选择的哈密顿量的具体公式和能隙方程；随后，应用公式，编程求解，考察了瞬时作用下和部分延迟作用下真空的正反夸克对凝聚，在计算中保留了空间流-流耦合作用；之后，导出瞬时势和延迟势下包含二体作用项的哈密顿量公式，并采用单体化近似，通过泛函变分方法得到核物质存在时耦合的非线性动力学方程；在保留部分空间双流耦合作用的近似下，求解核物质的动力学方程，考察核物质密度对真空凝聚的影响，以往考察真空凝聚，对关联核的选用，由于空间流-流耦合项不易处理，也认为作用不大，常忽略该项，并且常采用瞬时作用；本文保留空间双流项和部分延迟作用，考察了真空情形的夸克对凝聚，还考察了夸克质量对纯真空凝聚的影响，以往对核物质存在情形的真空凝聚考察很少，也都忽略空间流-流项，本文在考虑部分空间流-流项近似下，考察了核物质存在对真空凝聚的影响。

Defatted wheat germ was micronized by comibmed method of hammer mill and colloid mill in order to increase the extraction rate of protein, followed by steps of alkali extraction and ultrafilter concentration, respectively. A quadratic mathematical model was developed statistically by means of Box-Behnken central composite design and response surface methodology.

为了提高麦胚蛋白的提取率，采用锤式粉碎与胶体粉碎相结合的方法对脱脂麦胚进行微细化处理，再用碱提、超滤浓缩法提取制备麦胚蛋白，同时，通过Box-Behnken中心组合设计及响应面分析，建立了预测麦胚蛋白提取率的二次多项数学模型，优化了蛋白质的提取工艺。

The results are as follows:Defatted wheat germ was micronized useing both hammer mill and colloid mill to increase the extraction rate of protein, followed by alkali extraction and ultrafiltration, respectively. A quadratic mathematical model was statistically constructed by using of Box-Behnken central composite design and response surface methodology. Under the optimized processing parameters of 23μm particle sizes, pH 9.5 and 51℃, a maximum extraction rate, 68.6%, was achieved, which is 30.63% higher than that of non- micronized wheat germ (passing through 80 mesh sieve).

首先采用锤式粉碎与胶体粉碎相结合的方法对脱脂麦胚进行微细化处理，然后利用碱提、超滤浓缩法提取制备麦胚蛋白，并通过Box-Behnken中心组合设计及响应面分析建立预测麦胚蛋白提取率的二次多项数学模型，优化蛋白质的提取工艺，在麦胚粒度为23μm、pH值9.5、提取温度51℃的条件下，经微细化处理的蛋白提取率为68.6％，比未经微细化处理的(过80目筛)提高30.63％。2。

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。