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The frequency characteristics expression and the characteristic matrix are derived, and the influence of the filter parameters on frequency characteristics is investigated.

导出了频率特性表达式和频率特性矩阵，分析了滤波器参数对稳态频率特性的影响。

Using the above polynomial gain ripple characteristic, expressions for the gain and bandwidth are derived, and numerical simulations are performed.

利用光子晶体光纤高非线性和低色散斜率的优良特性，提出了一种利用变换和缩放的四阶切比雪夫多项式计算双抽运光纤参量放大器平坦增益和带宽的方法。

In section 4,we research the solvable groups of finite rank,and provethat the union set of all quasi-cyclic subgroups of G is a characteristic subgroup andthe Hirsch number hdoes not exceed n if G is a solvable group of rank n.Inparticular,for an arbitrary solvable torsion-free group G of rank n,we give theupper bound fof the derived length of G.

在第4节里，我们研究了有限秩的可解群，证明了这类群的所有拟循环子群构成它的一个特征子群，且对秩n的可解群G来说，其Hirsch数h≤n，另外，我们给出了秩n的无挠可解群的导出长度的一个上界。

We derived an analytical expression of ion concentration distribution and the mathematical model of the induced polarization potential and the spontaneous potential for water bearing shaly sandstone from the conservation law of charge and the conservation law of matter.

由电荷守恒定律和物质守恒定律，推导出毛管中离子浓度分布的解析表达式，建立了描述含水泥质砂岩激发极化电位和自然电位的数学模型。

Since the liquid ink includes the colorant surface-treated by a polymer comprising units derived from at least a nitrogen-containing polymerizable monomer, it exhibits improved chargeability, reduced conductivity variability and improved dispersion stability at a lower amount of charge control additive.

因为该液体墨水含有用聚合物进行表面处理的着色剂，该聚合物含有的单元来自至少一种含氮的可聚合单体，所以在较少量电荷控制添加剂时，它具有改善的荷电率，降低的导电率可变性以及改善的分散稳定性。

An exact solution is derived for the equation of motion of a charged particle driven by an electrostatic wave.

1引言中作一维运动，E0为静电波电场的幅值。

By extracting the output data of the controlled system and making use of the optimal consistency approach of Chebyshev orthogonal polynomial in dealing with data, the base function of system s output predictive model is derived.

利用chebyshev正交多项式在数值方面最佳一致逼近的特性，结合对被控系统输出数据的信息，经过特征提取，构造chebyshev 基函数，建立系统的输出预测模型，作为模糊控制的附加决策项。

Formation of a chemical compound by a living organism.Not associated with or derived from living organisms .

非生物的，非生物学的与生物体不相关的或不是从生物体衍生的

Bacterial chemosynthesis, production of food by bacteria using energy derived from chemical changes, and advection, the drifting of food materials from surrounding regions.

第一种是细菌化学合成，即由细菌利用化学变化而形成的能量来产生食物；另一种是水平对流，即食材从周围地区飘移过来。

The word "millennium" is derived from the Latin for a thousand (at times the word "chiliasm" taken from the Greek and meaning the same thing is used).

加上"千禧年"，是源自于拉丁语，为1000名（有时用" chiliasm "取自希腊文的意思，同一件事，是用）。

And Pharaoh spoke to Joseph, saying, Your father and your brothers have come to you.

47：5 法老对约瑟说，你父亲和你弟兄们到你这里来了。

Additionally, the approximate flattening of surface strip using lines linking midpoints on perpendicular lines between geodesic curves and the unconditional extreme value method are discussed.

提出了用测地线方程、曲面上两点间短程线来计算膜结构曲面测地线的方法，同时，采用测地线间垂线的中点连线和用无约束极值法进行空间条状曲面近似展开的分析。