同时存在

With the idea and the technique of the newly constructed basitheoryology ~ [1] , this article discusses two different concepts of infinite set existing in present set theory: potential infinity and actual infinity.

从新构建的基础理论学的角度，以全新的基础理论学的方法[1]，讨论同时存在于现有集合论中两种性质上截然不同的"无穷集合"概念：潜无穷式的与实无穷式的无穷集合。

It is in this latter way, however, that space is thought; for all the parts of space coexist ad infinitum.

尽管如此，空间就是这样被设想的（因为空间无限多的所有部分都是同时存在的）。

For the DNLSE with NVBC, a simple adapted IST was recently derived by introducing an affine parameter, yielding a much simpler one-soliton solution. All previous researches demonstrate that, in known (1+1) dimensional one-component integrable systems, the DNLSE with NVBC is a rare instance simultaneously admitting bright solitons, dark solitons, as well as their bound states.

它是目前已知有物理意义的(1+1)维单分量可积系统中，唯一同时存在亮、暗孤子以及呼吸子型亮—暗孤子束缚对的系统，通过该模型研究亮暗孤子间的碰撞很有意义，为此需要得到多孤子解。

The study of 9－12 indicate that it is easy to get polyoxomolybdate with organic amine at weak acidity conditions when there are organic amine and organic acid in the same reaction systems.

化合物 9－12 的研究结果表明，在弱酸性条件下，同时存在有机酸和有机胺时，易形成含有机胺的钼氧簇，而有机酸不易进入产物晶相。

Therefore, it took a long period for calculus, analytical geometry and algebra to take root in China.

对晚清数学家来说，面临着新的机遇，同时存在着巨大的挑战和困惑。

Both crystal and ceramics show typical Ce3+ absorption bands at 230,340 and 460 nm and a 540 nm emission peak.

Ce：YAG晶体和陶瓷都具有位于230，340和460 nm波段的Ce3+离子的特征吸收带和540 nm附近的发射峰，但Ce：YAG晶体同时存在296和370 nm的色心吸收，其发射峰位于398 nm，而透明陶瓷中不存在。

Simulation results show that both the longitudinal and transverse wave are included in the reflected waves,the reflection coefficient of longitudinal wave augments with the increase of the incident angle,and the reflection coefficient of transverse wave augments first and then minishes,the transverse wave disappears when the incident angl.

主要研究了声波从粘弹性介质向流体介质斜入射情况下的声反射特性，分析表明：反射声波中有横波和纵波同时存在，纵波声压反射系数随入射角度的增大逐渐增大，横波的声压反射系数随入射角度的增加先增大后减小，在垂直入射时只有纵波，而没有横波存在。

It is all part of the plan and there are no coincidences here.

它是计划的全部部分并且这里没有同时发生或同时存在的事物。

Due to hyperfine structure of Rubidium atoms, the four-wave mixing effect exists in thermal Rubidium atomic vapor, which related to the third-order nonlinear effect closely. The Raman gain of the Stokes and anti-Stokes photons is observed by sweeping the frequency of the probe beam.

由于铷原子的超精细能级结构，在铷原子蒸气中同时存在与三阶非线性效应相关的四波混频现象，通过扫描探测光的频率同时观察到具有斯托克斯和反斯托克斯光子的喇曼增益现象。

Additionally, morphological structure and properties of the TiO_2 prepared by using the conventional heating and microwave dielectric heating were also compared detailedly. Acetaldehyde was chosen as a model reactant to valuate the performance of the samples.

通过自行设计的微波-光催化反应器，在功率100~170 mW、频率36 GHz 的微波和紫外光同时存在下研究了TiO_2对乙醛的光催化氧化性能，并与单纯紫外光存在下的光催化过程进行了比较。

As she looked at Warrington's manly face, and dark, melancholy eyes, she had settled in her mind that he must have been the victim of an unhappy attachment.

每逢看到沃林顿那刚毅的脸，那乌黑、忧郁的眼睛，她便会相信，他一定作过不幸的爱情的受害者。

Maybe they'll disappear into a pothole.

也许他们将在壶穴里消失