The entropy density is constant ahead of the shock.
冲击波前方的熵密度是恒定的。
Therefore, we find the quantum states density becomes finite near the horizon of black hole and the divergence of entropy in the brick wall model is removed without any unnatural cutoff.
这样我们发现黑洞视界附近的量子态密度变得有限，从而消除了砖墙模型中熵的发散而不需要采取任何不自然的截断。
Discrete formulas expressed by Gauss-quadrature are presented when determine the parameter of probability density function which is established based on maximum entropy theory.
给出确定利用最大熵原理建立的功能函数概率分布密度的待定参数时由高斯积分表达的离散化公式。
We gave a new equation of state density by the generalized uncertainty relation, studied black hole entropy on degenerate background of sphere symmetry.
采用由广义不确定关系得到的新的态密度方程，研究了球对称退化背景下黑洞的熵。
The density matrix and the entropy are calculated.
计算了密度矩阵、配分函数和熵。
It shows that the macroscopic entropy production in a nonequilibrium system is caused by spatially stochastic and inhomogeneous departure from equilibrium of the number density of micro-states.
指明非平衡系统的宏观熵产生是由其微观状态数密度在空间随机地不均匀离开平衡引起的。
It is found that the pressure and velocity disturbances run at sound speed, the entropy and components at flow speed, the temperature and density partly at sound speed, partly at flow speed.
发现压力和速度主要体现声特征，熵和组分主要体现流特征，而密度和温度既体现声特征又体现流特征。
The maximum entropy density function is fitted with the restriction of expectation and high DE - gree central moments of Z.
最大熵密度函数以Z的期望和高阶中心矩为约束条件加以拟合。
For the case of finite temperature, the analytical energy density, entropy density and free energy density are acquired with help of Sommerfield expansion to the Fermi-Dirac integrals.
对于有限温度情形，通过索末菲展开，得到了能量密度、自由能密度以及熵密度的解析公式。
The evolution opera tor, the reduce density operator and the dynamical properties of the field entropy evolution in the intensity - dependent coupling multiphoton J - C model are studied.
研究了依赖强度耦合多光子J—C模型的演化算符，约化密度算符及其场熵特性。
With the density of entropy of curved space-time, we have calculated black hole entropy directly, and avoided the difficulty of solving the field equation.
用弯曲时空的熵密度对黑洞熵进行了直接计算，避免了求解场方程的困难。
The alloys with high pack density possess high mixing entropy and high glass forming ability.
具有较高堆积密度成分的合金具有较高混合熵和较高的非晶形成能力。
The Newton iterative method is used in the calculation of entropy density function, by which the non-convergence issue in the calculation for the vertical bearing capacity of piles is solved.
计算熵密度函数时采用牛顿迭代法，从而解决了在分析基桩竖向承载力的可靠度时可能产生的迭代不收敛的情况。
According to the system density matrix, discussed the evolution of the system entropy with time and photon statistical properties of the system.
根据系统密度矩阵，讨论了系统熵随时间的演化和系统光子统计性质。
The methodology is to use the information entropy to measure the risk degree of complex engineering system, and evaluate its relativity with information density evolution.
为提高复杂工程系统的风险评估和计算效率，对工程系统中复杂性和信息密度演化进行研究。
By taking use of the limit of entropy density on free energy density, it deduces changing rate of entropy density.
利用熵密度对自由能密度的限制，导得熵密度变化率。
The method of density matrix renormalization-group is applied to obtain logarithmic behavior of the entropy.
我们利用密度矩阵重整化群方法来研究熵的对数行为。
The effects of the heat flux, wall temperature and flow resistance on the nondimensional entropy generation density have been discussed.
讨论了壁面热流、壁面温度及流动阻力对无因次熵产强度的影响。
For a map of compact metric space, topological entropy density is defined for infinite topological entropy.
在度量空间上，对于拓朴熵为无穷大的映射补充定义拓朴熵密度。
The density of power spectral entropy, on the whole, is an exponential decline curve with frequency augmentation without reference to water flooded extent.
功率谱密度不论水淹程度如何，整体为一随频率增大其能量按指数递减连续频谱；
To evaluate the degree of security of structures, reflect the failure course is from disorder to order, the reflection of strain energy density is considered, the entropy is used in analysis.
为了对结构的安全程度进行度量，反映结构破坏是“从无序向有序”不断演化这一过程，考虑了应变能密度的分布对结构安全性的反映，引用熵的理论进行了分析。
For example the NC State research teamcombined lithium, magnesium, titanium, aluminum and scandium to make ananocrystalline high-entropy alloy that has low density, but very high strength.
例如，北卡罗莱纳州立大学的科研团队利用锂、镁、钛、铝以及钪合成了一种纳米晶体高熵合金，该合金密度低，但强度却很高。
For example the NC State research teamcombined lithium, magnesium, titanium, aluminum and scandium to make ananocrystalline high-entropy alloy that has low density, but very high strength.
例如，北卡罗莱纳州立大学的科研团队利用锂、镁、钛、铝以及钪合成了一种纳米晶体高熵合金，该合金密度低，但强度却很高。
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