测不准原理

Based on this model, I explain some phenomena relative to quantum theories, such as the probability of a particle, quantized energy, de Broglie relations, uncertainty principle, and the highest speed of matter\\\s motion.

给出了该作用力的方程，并由此解释了一些微观的量子现象，如粒子波动性的几率解释，能量的量子化，德布罗意公式，测不准原理和物质运动的最大速度。

Keywords: reflection-invariant measure; finite reflrction group; spherical harmonics; uncertainty principle; Hardy space

中文关键词：反射不变测度；有限反射群；球面调和；测不准原理；哈代空间

Have you ever heard of Heisenberg's Uncertainty Principle?

你听没听说过海森堡的"不确定/测不准原理"？

And the law of conservation of energy, metabolism, photoelectric transformation, electromagnetic transformation, photosynthesis, general and specific theories of relativity, monomolecular, monatomic theory, life science, cell theory, gene theory, anthropic principle, uncertainty principle, and the theory of "cosmic explosion" are all concrete evidences of natural sciences for the Great Balance Theory.

而以往能量守恒定理、新陈代谢、光电转换、电磁转换、光合作用，广义、狭义相对论、单分子、单原子理论、生命科学、细胞学说、基因学说、人择原理、测不准原理及"宇宙大爆炸"等理论，都为大平衡提供了自然科学的实证依据。

The main results are:(1) the L1 boundedness of the Cesaro means operator of the harmonic expansions on the unit sphere with reflection-invariant measures is proved, and the characterization of the convergence index is given; for the points not in the planes with singularities, the pointwise convergence is also proved; these results are the generalizations of those both for the classical spherical harmonic expansions and for the Jacobi expansions;(2) Using the differential-reflection operators of Dunkl type, the uncertainty principle of a class of Sturm-Liouville operators is established, and as consequences, the uncertainty principles of some well-known classical orthogonal expansions such as Jacobi, Hermite and Laguerre expansions are obtained;(3) by introducing the Cauchy-Riemann equations in terms of the differential-reflection operators of two variables, the harmonic analysis of the extended Jacobi expansions is studied; the results include the Lp boundedness and the weak-L1 boundedness of the conjugate extended Jacobi expansions; specially, for some indexes p smaller than 1, the basic theory of the related Hardy spaces is established.

主要成果有：（1）证明了带有反射不变测度的球面调和展开蔡沙罗平均算子的L1有界性，给出了收敛指标的特征刻划，对不在奇性平面上的点，还证明了点态收敛性，这些成果同时推广了经典球面调和展开和雅可比展开的结果；（2）利用Dunkl型的微分-反射算子建立了一类斯特姆-刘威尔算子的测不准原理，并由此得到一些著名的经典正交展开如雅克比展开、赫米特展开和拉盖尔展开的测不准原理；（3）利用由两个变量的微分-反射算子定义的柯西-黎曼方程组来研究扩展雅克比展开的调和分析，证明了共轭扩展雅克比展开的Lp有界性和弱L1有界性，特别是对小于1的一些指标p，建立了相应的哈代空间的基本理论。

This model based on the idea of Heisenberg's Uncertainty Principle, which states that we do not know the precise location or the velocity of any given electron.

这个模型基于海森堡的测不准原理，测不准原理声明我们不知道任何已知的电子的精确位置或速度。

Chuck Norris is the only human being to display the Heisenberg uncertainty principle -- you can never know both exactly where and how quickly he will roundhouse-kick you in the face.

Chuck Norris是唯一的验证海森堡测不准原理的人：他会在哪里roundhouse踢你的脸，和他踢你脸的速度有多快不可能被同时准确测得。

Chuck Norris is theonly human being to display the Heisenberg uncertainty principle -- you can never know both exactly where and how quickly he will roundhouse-kick you in the face.

Chuck Norris是唯一的验证海森堡测不准原理的人：他会在哪里roundhouse踢你的脸，和他踢你脸的速度有多快不可能被同时准确测得。

No matter the principle of relativity from Einstein's Relativism, Heisenberg's Uncertainty Principle, Bohr's Complementary Principle and Prigogine's Dissipativity Structure, they all tell us that, we can not exclude the human's existence in nature and the important role people play in nature as well.

无论是爱因斯坦的相对论、海森堡的测不准原理，还是玻尔的互补原理、普利高津的耗散结构，都告诉人们，我们不能排除人在自然科学中的存在，不能排除人在自然科学中的重要作用。

The uncertainty principle of signal is proved according to the uncertainty principle of quantum mechanics, and is further interpreted by quantum mechanics. The signal can be considered as a kind of the quasi quantum system with wave-particle dualism. Because of the wave-particle dualism of the signal, time and frequency can not be measured at the same time.

根据量子力学的测不准原理，采用力学量算符的方法得到了信号在时频分析时的测不准原理，并对该原理进行量子诠释，认为信号在某种意义下可以看作是一个存在波粒二重性的类量子系统，正是由于信号的波粒二重性导致无法同时准确地测定信号的时间和频率。

However, as the name（read－only memory）implies, CD disks cannot be written onorchanged in any way.

然而，正如其名字所指出的那样，CD盘不能写，也不能用任何方式改变其内容。

Galvanizes steel pallet is mainly export which suits standard packing of European Union, the North America. galvanizes steel pallet is suitable to heavy rack. Pallet surface can design plate type, corrugated and the gap form, satisfies the different requirements.

镀锌钢托盘多用于出口，替代木托盘，免薰蒸，符合欧盟、北美各国对出口货物包装材料的法令要求；喷涂钢托盘适用于重载上货架之用，托盘表面根据需要制作成平板状、波纹状及间隔形式，满足不同的使用要求。