多项式方程

Robust stability, interval vector differential equation systems, interval discrete time-delay systems, interval matrix polynomials, Lyapunov approach

鲁棒稳定性，区间向量微分方程系统，区间离散时滞系统，区间矩阵多项式，李雅普诺夫方法

Gymnarchus niloticus ; the long-based flexible dorsal fin ; undulation contour ; polynomial-fitting function ; MPF ; aquatic bio-propulsion

尼罗河魔鬼；柔性长背鳍；波动包络线；多项式拟合方程；奇鳍/对鳍推进；水下仿生推进

Carrying out a fitting to curves between rising height of capillary water and time with various functions,it found that fitting effect was best with secondary polynome regression equations under the log coordinate.

对毛细水上升高度与时间关系试验曲线用各种函数进行了拟合，发现毛细水上升高度与时间过程在对数坐标下用二次多项式回归方程进行拟合效果最好。

The governing equation of tank wall can be expressed as a set of algebraic equations by the pseudospectral method.

采用重心Lagrange插值多项式建立未知函数的微分矩阵，将池壁的控制方程表示为代数方程组。

The standard formation heat of gaseous trimethylbenzene was estimated with Watson empirical equation. The gaseous trimethylbenzene's standard entropy was calculated with bond entropy method and its heat capacity changing trend with temperatures was obtained according to polynomial regress.

气相三甲基苯的标准生成热ΔH(上标θ下标 298.15)用沃森经验方程估算，标准熵S(上标θ下标 298.15)用键熵法估算，摩尔等压热容C随温度的变化趋势通过多项式回归的方法得到。

The famous Virial equation of state is obtained. The principle of correspondingstate of latent heat is offered under the model.

于是，多项式势函数得到应用，模型给出了著名的维里方程，并给出了潜热的对应态定律的概念。

The results showed: 1 RN didn't the leaf width,leaf long,leaf area,yield,productive value and average price of flue-cured tobacco,but had significant effect on grad composing,content of chemical component and the accumulation of N,K and Cl.Within limited rang of RN,the relations between yield,average price,yield of high grad tobacco,yield of low grad tobacco,nicotin,N,reducing sugar,Cl,amylum,volatile base and the quotient of ammonium would been described by significant quadratic polynomial,and the relations between K and the quotient of ammonium conformed to negative linear equation;2With a RN of 75%∶25%,the value of proportion of high and middle grad tobacco,content of nicotin,N,K,uptake of N and K/Cl were the highest,volatile base was lowest.

结果表明：1RN对烤烟的农艺性状、产量、产值、均价等没有明显影响，而对烤烟的等级结构、内在化学成分含量、氮、钾、氯的吸收量有着显著影响，可以用显著的二次多项式模型或直线相关方程描述产值、均价、上等烟产量、下等烟产量等经济性状以及烟碱、总氮、钾、还原糖、氯、淀粉、挥发碱等内在化学成分的含量与铵态氮份额之间的关系；2RN为75%∶25%时，中上等烟比例、烟碱、总氮、钾、钾氯比、氮吸收量最高，挥发碱含量最低。

So the technique of uncooled microbolometer infrared imaging has become one of the main points from now on. In the paper uncooled microbolometer infrared imaging system is studied from focal plane character, image dealing and application. The details are in the following: On uncooled microbolometer infrared focal plane aspect: first, the work principle of microbolometer, manufacturing technology of microbolometer infrared focal plane, temperature balance equation of microbolometer detector are analyzed. The performance of microbolometer detector is predicted by model. Second, the infrared focal plane is the core of infrared system, whose quality can determine the performance of the system. It is the precondition that the high quality of every detective unit maintains the qualification of the focal plane. The even degree of detective units has great influence on imaging characters if the other characters of detective units are normal.

本文以非致冷微测辐射热计红外成像系统为对象，从焦平面特性、图像处理和红外系统应用方面展开分析、研究，具体内容如下；在微测辐射热计红外焦平面方面，首先分析了微测辐射热计的工作原理、微测辐射热计红外焦平面的工艺制作、微测辐射热计探测单元的温度平衡方程，根据有关参数对其特性进行建模预测；其次，红外焦平面是红外系统的核心，它的质量的好坏直接决定系统性能，因此保证其各探测单元的高性能是维护焦平面品质的前提，在探测单元其它特性正常的情况下，各探测单元之间特性的均匀程度对系统成像性能有极大影响，为此本文提出自适应滤波多项式焦平面非均匀性校正算法从软件角度解决焦平面的固有的噪声问题。

The soliton hierarchies associated with the modified second order polynomialeigenvalue problems can be factorized into the commuting x- and 〓-constrainedflows, the r-matrices and classical Poisson structures for the x- and 〓-constrained flows are constructed.

与修正的二阶多项式特征值问题相联系的孤立子方程族可以被分解为相互交换的x-和〓-约束系统，本文求出了约束系统的r-矩阵和经典Poisson结构。

After much effort, such a formula was indeed found for quartics — but since then it has been proven that such an approach dead-ends with quartics; they are the highest-degree polynomial equations whose roots can be expressed in a formula using a finite number of arithmetic operators and n-th roots.

自然，人们为了找到这些根做了许多努力。就像其它多项式，有时可能对一个四次方程分解出因式；但更多的时候这样的工作是极困难的，尤其是当根是无理数或复数时。

I didn't watch TV last night, because it .

昨晚我没有看电视，因为电视机坏了。

Since this year, in a lot of villages of Beijing, TV of elevator liquid crystal was removed.

今年以来，在北京的很多小区里，电梯液晶电视被撤了下来。