查询词典 extremal function

So two methods are used to remove the local relation. One is that extremal index is introduced to POT model. The analysis showed that the introduction of extremal index improves validity and veracity of VaR based on POT model. Still VaR based on POT model introducing extremal index is invalid in low confidence level. The other is to filter returns series using GARCH model.

为此引入两种方法来消除超阈值的局部相关性：一是将极值指标引入到POT模型中，实证分析发现极值指标的引入不仅改善了POT模型估计VaR的有效性，而且还提高了POT模型估计的准确性，尽管如此在较低的置信水平上即便引入极值指标，POT模型估计VaR仍是无效的；二是用GARCH模型对收益率序列进行过滤处理。

In this thesis, we mainly study one of the topics in graph theory with applications: the extremal values of unicyclic graphs and unicyclic chemical graphs of the first general Zagreb index;the extremal values of bicyclic graphs of the second Zagreb index;the extremal values of unicyclic graphs of the general Randic index.

本论文主要研究了图论及其应用中的一个方面：图论在化学中的应用-单圈图以及化学单圈图的第一广义Zagreb指标的极值，双圈图的第二Zagreb指标的最小值以及单圈图的广义Randi指标在某个范围的最小值。

Defined object function can extract the extremal point s located accurately,form the stable extremal regions,and magnify the local intensity changes.

提出了一种基于不变区域提取算法，通过灰度指数变换，定义的目标函数不仅提取了定位准确的极值点，形成稳定的不变区域，而且突显了每个方向上灰度的变化。

We firstly discuss minimal sets characterizations of closed-set lattice , then systematically study the categorical properties of categories CL and PairCL by the means of the join-semilattices closed-set-latticefies, and the constructions of monomorphism, epimor-phism, extremal monomorphism, extremal epimorphism, section, retraction, subob-ject, quotient object, product, co-product, equalizer, coequalizer, inverse limits and direct limits in the categories CL and PairCL are given.

首先讨论了闭集格的极小集刻划，然后通过并半格的闭集格化这种方法，较为系统地研究了范畴CL及范畴PairCL的性质，给出了范畴CL和范畴PairCL的单态射、满态射、极端单态射、极端满态射、截节、收缩、子对象、商对象、极端子对象、极端商对象等特殊态射和特殊对象的具体刻划，并且研究了它们的等化子和余等化子、乘积和余积、逆极限和定向极限的具体构造。

We firstly discuss minimal sets characterizations of closed-set lattice , then systematically study the categorical properties of categories CL and PairCL by the means of the join-semilattice's closed-set-latticefies, and the constructions of monomorphism, epimor-phism, extremal monomorphism, extremal epimorphism, section, retraction, subob-ject, quotient object, product, co-product, equalizer, coequalizer, inverse limits and direct limits in the categories CL and PairCL are given.

首先讨论了闭集格的极小集刻划，然后通过并半格的闭集格化这种方法，较为系统地研究了范畴CL及范畴PairCL的性质，给出了范畴CL和范畴PairCL的单态射、满态射、极端单态射、极端满态射、截节、收缩、子对象、商对象、极端子对象、极端商对象等特殊态射和特殊对象的具体刻划，并且研究了它们的等化子和余等化子、乘积和余积、逆极限和定向极限的具体构造。

Extremal mappings have been one of the main topics in the theory of quasiconformal mappings, n the section 4, we consider the extremal mappings on the surface Rwhere every Ri is a hyperbolic Riemann surface, Ri Rj =,i j,I is a non-empty indexset.

拟共形映射的极值问题是拟共形映射理论中的又一重要课题，在文章的第四章中，我们将考虑曲面R=U R_i i∈I上的极值问题，其中每个R为双曲Riemman曲面，R_i∩R_j=φ，i≠j，I为非空指标集。

Apply those properties to find the self-dual code of length 66, we got new extremal self-dual [66,33,12] code with β=32 for w1 and at least 50 inequivalent extremal self-dual [66,33,12] codes with .

我们推广Harada[4]的一个建构自对偶码的定理，Harada[4]的方法在[2n，n]， n为偶数的条件下方可成立，而我们推广出的定理可以适用於n为奇数的情况。

Special morphisms such as monomorphisms, epimorphisms, sections, retractions, extremal monomorphisms, extremal epimorphisms, constant morphisms, coconstant morphisms, zero morphisms and special objects such as initial objects, terminal objects and zero objects are studied and their characterization is obtained.

较为系统地讨论了范畴Quant的性质，考察了范畴Quant中单态射、满态射、截节、收缩、极端单态射、极端满态射、常值态射、余常值态射、零态射等特殊态射和始对象、终对象等特殊对象，给出了它们的具体刻划，得到了范畴Quant是良幂的，余良幂点化范畴。

Though comparing Canny operator and center B spline dyadic wavelet, the following conclusion is proven in this dissertation: a Center B spline function has tight support and Canny operator hasn't. b Center B spline function asymptotic convergence to Gaussian function and the derivative of Center B spline function asymptotic convergence to Canny operator. c The derivative of fourth order center spline B function is more suitable as a optimal edge detector than Canny operator. d Center B spline function can balance the smoothing and approximation of original data, and the fourth center B spline function is the only optimal solution of two order smoothing problem. e The error between the valve of time-frequency uncertainty of the fourth center B spline function and the lower bound of time-frequency uncertainty does not exceed 0.143% of the lower bound. f The derivative of center spline B function can construct a stability dyadic wavelet and can give a fast algorithm for multiscale edge detection, but Canny operator can do neither.

作者给出了Canny算子与中心B样条二进小波严格的比较证明，得出如下结论：a中心B样条函数具有紧支集，Canny算子不具有紧支集。b中心B样条函数的极限收敛于高斯函数，中心B样条函数的导数收敛于Canny算子。c四阶中心B样条函数的导数比Canny算子更接近最佳边缘检测滤波器。d中心B样条函数比高斯函数更能兼顾对原函数平滑和逼近的折中要求，并且四阶中心B样条函数是二阶逼近问题的唯一最优解。e四阶中心B样条函数的时频测不准关系值与时频测不准关系下界的逼近误差不超过0.143％。f中心B样条函数的导数可以构成稳定的二进小波，存在快速的多尺度算法；而Canny算子不构成稳定的二进小波，无法给出快速的多尺度算法。

The problem of multi-objective usually meet many conflict each other and can not use the objective of the same standard unit, then to employ membership function of fuzzy theory,at first each objective function to change fuzzy set and express with membership function, membership function include the maximum constraint, minimum constraint, the decrease function of monotonic property, to become optimal of the multi-objective function, but still to scanty of weighting value with regard to adjustment of objective function, thus this thesis proposes the method of combine orthogonal arrays and particle swarm optimization to solve the problem of multi-objective optimal power flow, each objective function separately add weighting value, to setting each weighting value of objective function in order to the result of anticipating.

多目标最佳化的问题通常会面临到许多互相冲突且不能用同ㄧ标准单位的目标，於是利用模糊理论中的归属函数，首先将各目标函数转换成模糊集合并以归属函数表示，归属函数包含了最大限制值、最小限制值、单调的递减函数所组成，将各目标函数利用归属函数表示，形成单一目标函数的最佳化，但是仍缺乏权重值对於目标函数的调整，於是本篇论文提出ㄧ种权重值设定与粒子群优演算法的方法去解决多目标最佳电力潮流的问题，将各目标函上分别加上权重值设定各目标函数的权重值，得到预期的效果。

Through comparing with the results by simulation to study the effects of theprojectile"s final velocity, the angle of rotation and the ballistic trajectory"s migration withdifferent projectile"s rotating speeds, different target"s moving speeds and differentpenetration angles.

通过比较数值模拟的结果来研究不同弹头转速、目标速度、侵彻角对侵彻过程中弹头最终速度、翻转角度和弹道偏移的影响。

I love stationery and all the accoutrement of writing.

我爱文具以及所有的书写的工具装备。