查询词典 conic function

Based on much knowledge, contrasting to linear programming; we extend duality theorem (including weak duality theorem and strong duality theorem), complementary slack theorem to conic optimization. Hence we find out some significative conclusions and existing conditions under which their duality gap is zero of two optimizations.

在此基础上，通过与线性规划作对比，将对偶定理、互补松弛定理等推广到锥规划问题中，得到了一些有意义的结论，并且得到了这两个规划的零对偶间隙的存在条件。

In the second part, we make use of fixed point theorem of conic expansion and compression to prove the existence of two positive solutions in Banach spaces for ...

第二部分利用锥拉伸与压缩不动点定理证明了Banach空间中非线性项系数带变号的二阶四点边值问题两个正解的存在性。

In addition, when the nonlinearities have the properties of mixed-monotonicity, the existence of a positive solution for difference equations is ob-tainded by using fixed point theorem in a cone or fixed point theorem of conic expansion and compression.

在最后一部分讨论了带有特征值的非线性二阶差分方程正解存在性问题，利用锥压缩与拉伸不动点定理及逼近性理论，在一定的假设条件下，得到了差分方程正解存在性。

Technology is a kind of capability of remodeling of nature for which the man takes an oath to seek, it make the mankind break away from fatuity, wildness, poverty and under-developed, step into civilization, realize the dream of wealth, he- conic the master of nature.

技术是人类矢志追求的一种"改造自然的能力"，它和科学一道使人类摆脱愚昧、野蛮和贫穷落后，跨入文明社会，实现富裕梦想，使人类从自然的奴隶变成自然的主人。

Theory calculate and finite element method to symmetric conic-section flexure hinges is used to compare and analyze their dynamics characteristic.

通过对四种二次曲线截面的柔性铰链的理论计算和有限元分析，比较分析了它们的力学特性。

Chinese honey locust Deciduous leaf arbor, be as high as 15-30m, truncal skin grey black, shallow slit, dry reach branch to often provide thorn, thorn is conic shape is much more ramose, thick and hard straight, rod celadon, leather aperture is remarkable, wintry bud often is folded unripe, bout is even a shape compound leaf, each other gives birth to flocculus 3-7 to be opposite, flocculus grows egg form, tip blunt circle, base ministry circle, a bit deflective, small change is simple, the predestined relationship has serration, rear midrib two side and Xie Bing by white short fluff, miscellaneous sex is beautiful, axil is unripe, racemose, peduncular close by nap, calyx bell shape by nap, beautiful Huang Bai is lubricious, calyx valve all 4 number.

皂荚落叶乔木，高达15-30m，树干皮灰黑色，浅纵裂，干及枝条常具刺，刺圆锥状多分枝，粗而硬直，小枝灰绿色，皮孔显著，冬芽常叠生，一回偶数羽状复叶，有互生小叶3-7对，小叶长卵形，先端钝圆，基部圆形，稍偏斜，薄革质，缘有细齿，背面中脉两侧及叶柄被白色短柔毛，杂性花，腋生，总状花序，花梗密被绒毛，花萼钟状被绒毛，花黄白色，萼瓣均4数。

Besides, the dark state is created by cholesteric's scattering effect in focal conic state and polarizer's filtration effect.

此外，这个方法的暗态是利用胆固醇液晶在圆锥状态的散射效应和偏光板的滤光作用来产生。

D Flexible LC notepaper:After a flexible PDCLC sample is irradiated with a suitable UV light for a suitable period at isotropic state, the CLC texture in whole sample is changed to scattered focal conic.

应用在软性基板的PDCLC元件在受到适当紫外光照射后可得一散射态之可挠式面板，若施加适当压力，可如触控笔般在元件上写入讯息或图像，该图像为反射结构。

This thesis demonstrates the pre-polymers in a polymer-dispersed cholesteric liquid crystals can be polymerized into a polymer film, which can eliminate the aligning capability of the homogeneous alignment layer. Thereafter, the textures of the cholesteric liquid crystals in UV-cured region can be changed from reflective planar texture to the scattered focal conic one. Additionally, the clearing temperature of the liquid crystals can be reduced by doping with chiral dopant or monomers. The cause is the increase of the impurity concentration in LCs. In other words, if the monomers are polymerized, the clearing temperature of LCs in that region should increase due to the decrease of the impurity concentration. Therefore, impurities associated with doping with monomeric and chiral dopants cause the clearing temperature of LCs in cured region to differ from that in uncured region.

本文中，我们提出在高分子聚合物薄膜之胆固醇液晶(polymer-dispersed cholesteric liquid crystals，简称PDCLCs)中，利用紫外光使PDCLC中的单体聚合成薄膜，此即为光引致聚合反应，而该薄膜将原本在表面所作的配向膜覆盖且破坏其配向能力，使胆固醇液晶由原本反射的planar结构转换成散射的focal conic结构；另外，有关液晶材料的相变温度会由於掺杂手性分子或单体而降低，此因液晶材料内『杂质』浓度增加，而造成的液晶材料之不纯度增加，最终导致相变温度降低，若搭配上述光引致聚合反应，则由於光照区之单体聚合，使该区域单体占总材料之比例下降，即不纯度降低，进而使液晶材料之相变温度上升，该区域之相变温度与未照光区有所不同。

A Thermally switchable and flexible LCDs:A PDCLC sample is irradiated with a UV light through a photo-mask having the desired patterns, the CLC texture in the UV-cured region is changed from reflective planar texture to the scattered focal conic one. Additionally, the clearing temperature of the LCs in UV-cured regions is higher than that in uncured regions. Therefore, if the cell temperature is lower than Tuc-I (Tuc-I and Tc-I), the scattered patterns are displayed on the reflective background. Moreover, the addressed patterns are invisible when the cell temperature increases higher than Tc-I.

利用紫外光经过透射光罩写入图像，使聚合区域为散射之focal conic态，且该区域之相变温度较未照光区域高，故低於Tuc-I时，散射的focal conic图像显示於反射的planar结构背景上；而介於Tc-I及Tuc-I之间时，散射的focal conic图像显示於穿透的isotropic态背景上；若温度高於Tc-I时，图像与背景皆是isotropic态，亦即关闭显示图像。

He paid $5,000 for this cupcake.

他我这个纸杯蛋糕花了5000美元。

I mean, if you want to, that is

我的意思是，如果你们想吃的话。