线性的

In Chapter 2, one kind of rational cubic spline interpolation with linear denominator has been proposed, whose derivatives are replaced with accurate derivative values, difference quotient and arithmetic average difference quotientrespectively.

第二章给出了一类分母为线性的有理三次插值函数，当其导数值分别取为导数的精确值，一阶差商，以及算术均差商时，便得到三种插值格式，分别为给定导数值的有理三次插值函数，基于函数值的有理三次插值函数，以及基于算数均差商的有理三次插值函数。

The relaxation results showed that La filling had significant effects on the geometrical structure of CoSb3. In addition to that, La filling made the bond length, bond angle and charge density change.

CoSb_3为窄能隙半导体，在其能带结构的Γ点附近靠近费米面的能带呈直线的形状，且与k矢量成线性的关系。

It was supposed that each meteorological factor was linear with the occurrence of corn borer and all of factors were addable.

利用相关法确定影响玉米螟发生的主要气象因子，假设每个气象因子对玉米螟发生程度的影响是线性的，将每个影响因子对玉米螟发生的影响程度相叠加，建立了吉林省一代玉米螟发生的气象适宜程度等级预报方程。

The broadcasting means of internet provide internet viewers the fundamental opportunities to gain and exchange information actively and communicatively, because it overcomes the limits of time and space, it is not necessary to receive the program passively according to the linear broadcasting order set up by editors.

网民和受众不再需要按线性的播出流程被动地接收由编辑编排好的节目内容，而可以在无限广阔的节目信息空间中，根据自己的爱好和需求检索、选择传播节目。

The experimental results prove that the convergence speed of the proposed method is non-linear and the use of convergence points can lower the complicacy of process of iteration.

实验结果表明，改进后的高斯核均值漂移算法以超线性的速度收敛，收敛点的应用降低了收敛过程中的计算量。

We prove that the economic growth mode will be nonlinear in a region restricted by Minimum Government Scale, conditional convergence and club convergence would be found and the regional gap would reduce the first, then enlarge and reduce in the last.

我们证明，存在最小政府规模的经济其增长是非线性的，经济收敛性在短期表现为条件收敛与俱乐部收敛的双重特征，并且地区差距的变化将呈现出缩小-扩大-再缩小的动态特征。

The results were as follows:(1) The effect of covariation information is much bigger when subjects have no pre-existing beliefs about the problem.(2) Older subjects emhpasis covariation information more than younger subjects in their causal reasoning.(3) The effect of ΔP is not linear. Subjects change their judgements when it increases uo to some thresholds.

研究结果表明：(1)当经验信息无法证明待判断原因是否可信时，共变信息的作用要大一些；(2)随著被试年龄的增长，他们越来越多地采用共变信息进行判断；(3)ΔP值的作用并不是直线性的，只有当它增大到一定程度时，被试才会改变自己的判断。

To get rid of the usual assumption that temperature field in diamond water of substrate is uniform or linear so as to make the simulation results closer to the actual conditions under which the diamond water can be fabricared, the plasma jet from a plasma torch controlled by DC electromagnetic field was introduced in simulation.

为了使模拟更接近于金刚石膜的真实制备环境，本文取消了以往对金刚石膜或基体内的温度场常作的均匀或线性的人为假设，而采用对从磁控直流等离子体炬内喷射出的射流仿真计算结果。

In chapter 3, homogeneous balance method is used to deal with some problems of finding solutions of higher dimensional nonlinear evolution equation . By improving some key procedure of the method, the original equation is reduced to a linear equation , hence a great number of exact solutions for this are obtained.

第三章利用齐次平衡法研究了一些高维非线性演化方程和方程组的求解问题，通过对该方法的某些关键步骤的处理，将原方程转化为一线性的微分方程，从而获得了这些方程大量的多种精确解。

By the comparison and analysis of the ionic current under different bias voltage between the long-straight tubular combustion device and the engine, it's also found that in the propagating flame front region and postflame region, with the increase of bias voltage the force of electric field will increase and the electrization action will be enhanced, which will enlarge the ionic current.

建立的离子电流随偏置电压变化关系的数学模型与实际燃烧过程是相符的，同时还可得到在两个实验中离子电流第一峰和第二峰的峰值随偏置电压变化关系基本都是线性的。

For a big chunk of credit-card losses; the number of filings (and thus charge-off rates) would be rising again, whether

年美国个人破产法的一个改动使得破产登记急速下降，而后引起了信用卡大规模的亏损。

Eph. 4:23 And that you be renewed in the spirit of your mind

弗四23 而在你们心思的灵里得以更新