幂

The relationship between the breakage volumetric strain and the relative breakage can be fitted by a power function.

破碎体应变和破碎率之间存在近似的幂函数关系。

The result of wind tunnel showed the rate of soil erosion increases with the increasing of wind velocity by the power function.

风洞试验的结果表明，风速越大，风蚀越强烈，二者之间表现为幂函数的变化关系，18m／s是风速由轻变重的一个转折点。

A power law between the propagation velocity of the band and the strain is discovered. For the bands of type A and B, which propagate almost continuously, the propagation velocity keeps a good linear increasing trend with the increasing applied strain rate.

分析了应变率和变形对PLC变形带传播行为的影响，发现PLC变形带的传播速度与应变之间符合近似的幂律，对于保持传播中途无驻留现象的A类型和B类型PLC变形带，带的传播速度与应变率很好地满足线性关系。

Static rheological properties investigation showed that power law was observed for four starch pastes and each paste was pseudoplasticity.

静态流变特性测定结果表明，4种淀粉糊的流变模型为幂率模型，均为假塑性流体，每种淀粉糊以相同方式流动需要施加的力不同。

According to the power relation between the bulk modulus of a gel and the density, we have studied the gel' shrinkage rule during drying with the surface-chemical theory.

根据前人提出的凝胶网络的弹性模量与密度之间成幂律关系，应用表面化学理论研究了凝胶干燥过程中的收缩规律。

We present our Monte Carlo results of the random-bond Potts ferromagnet with the Olson-Young self-dual distribution of quenched disorders in two dimensions.By exploring the short-time scaling dynamics,we find the universal power-law critical behavior of the magnetization and Binder cumulant at the critical point,and thus obtain estimates of the dynamic expontent z and magnetic exponent η,as well as the exponent θ.Our special attention is paid to the dynamic process for the q=8 Potts model.

以蒙特卡罗模拟方法对自对耦分布二维随机链q态Potts模型的短时临界行为进行了数值研究，利用初始非平衡演化阶段存在的普适幂指数和有限体积标度行为，数值模拟了在不同形式随机分布时q=3和q=8态Potts模型磁临界指数η和动力学临界指数z，计算结果发现η不依赖于自对偶无序分布的具体形式，从而以数值方法给出了一个关于淬火掺杂自旋系统的临界普适行为的验证。

By using properties of scalar matrices over semirings,we generalize algebraic properties for the automorphisms of matrix algebras over commutative rings and obtain some algebraic properties for the automorphisms of matrix algebras over commutative semirings.

在这一章中，我们首先利用半环上常量矩阵的性质把环上矩阵代数的性质拓广到半环上，获得了交换半环上矩阵代数自同构的一些代数性质，接下来采用积和式的方法证明任意非负交换半环上n阶矩阵代数Tn的自同构的n次幂必为内自同构。

The objectives of this thesis are the congruences on locally inverse semigroups, locallyL-unipotent semigroups and the structures of locally orthodox semigroups.

中文摘要：本文的研究对象是局部逆半群、局部L-幂单半群上的同余和局部纯正半群的结构。

We investigate this kind of numbers in Chapter 4 and give the following results:(1) By generating functions theory, we have established a number of identities involving the powers of generalized Fibonacci and Lucas numbers. From these identities, we can obtain some new congruences.

第四章：利用发生函数理论以及一些运算技巧，讨论与广义Fi-bonacci，Lucas数有关的问题：(1)利用发生函数原理，建立了一系列涉及广义Fibonacci，Lucas数的幂的恒等式，并由这些恒等式得到了新的同余关系。

This paper analyses and systematically studies the structure of some special quantales (such as characterization of idempotent left-side spatial quantales, characterization of simple quantales); relations among elements of quantale; inner links between prequantales and quantales; relations among nuclei and quotiont quantales and congruences of quantale; relations between closed filters and closed maps; categorical properties of category Quant.

本文对Quantale的元素之间、核映射与商Quantale以及同余关系之间的关系，特殊Quantale的结构（如幂等左侧空间式Quantale的特征，单纯Quantale的特征等），Prequantale和Quantale之间的内在联系，Quantale中的闭滤子和闭映射以及Quantale范畴Quant的性质等作了较为系统的研究。

Breath, muscle contraction of the buttocks; arch body, as far as possible to hold his head, right leg straight towards the ceiling (peg-leg knee in order to avoid muscle tension).

呼气，收缩臀部肌肉；拱起身体，尽量抬起头来，右腿伸直朝向天花板（膝微屈，以避免肌肉紧张）。

The cost of moving grain food products was unchanged from May, but year over year are up 8%.

粮食产品的运输费用与5月份相比没有变化，但却比去年同期高8％。