$\rho$-mixing seems to mean convergence of measure of $X_t$ to the limiting distribution, while strong mixing seems to mean $X_t$ become more and more independent from $X_0$, again from Wikipedia: implies that for any two possible states of the system (realizations of the random variable), when given a sufficient amount of time between the two ...

Geometric $\rho$-mixing, which implies geometric $\alpha$-mixing, is obtained under a much weaker condition. We verify this condition for various parametric copula functions that are popular in applied work. $\rho$-, $\beta$-, and $\alpha$-mixing conditions may be used as the basis for a range of inequalities and limit theorems that are useful ...

2024年4月17日 · "$\rho$-mixing" if $\rho(n) \to 0$ as $n \to \infty$; and "absolutely regular", or "$\beta$-mixing", if $\beta(n) \to 0$ as $n \to \infty$. The $\phi$-mixing condition was introduced by Ibragimov in 1959 and was also studied by Cogburn in 1960.

2021年6月6日 · if $\rho$ is separable, does it mean $\rho_A$ and $\rho_B$ are pure? if $\rho$ is entangled, does it mean $\rho_A$ and $\rho_B$ are mixed? and vice versa, for each point.

The difference between pure and mixed states is the difference in their density matrix structure. For density matrix $\rho$ of mixed state the trace of $\rho^{2}$ should be less than 1. For pure state corresponding trace $Tr(\rho^{2}) = 1$.

High strength mix is designed to provide 3000 PSI of compressive strength and RHO design values of 50-65. High-Strength LowRHO® concrete is used like normal concrete for duct bank encasement. It provides maximum protection against dig …

There is a large literature on basic properties of strong mixing conditions. A survey such as this cannot do full justice to it. Here are a few references on important topics not covered in this survey. For the approximation of mixing sequences by martingale di erences, see e.g. the book by Hall and Heyde [80].

2018年10月2日 · For two particles to interfere, you need them to have similar quantum numbers. For example, a $\rho^+$ could not interfere with the neutral $\phi$ or $\omega$, since the respective transition would violate charge. What about the $\rho^0 =(u\bar{u}-d\bar{d})/\sqrt{2}$?

2004年1月14日 · One of the most critical variables in these calculations is the "Thermal Resistivity" of the material surrounding the conduit/cable. This is defined by the code as the "heat transfer capability through a substance by conduction." We call this "Rho" and it is expressed in Degrees C-cm/Watt.

2013年11月1日 · rho_max = (3/7) * 0.85 * f'c * beta_1 / fy That is based on ACI 318 strain of tension steel of 0.004 and concrete of 0.003. The same formula actually was posted by user JAE (Structural) in this thread: