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This is a set of coherent vectors. Recall that two vectors (of norm 1) $ \psi _ {1} $ define the same (quantum mechanical) state if they differ by a phase factor: $ \psi _ {2} = \mathop{\rm exp} ( ia) \psi _ {1} $.

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...he $(j+1)$st row describe the connecting mapping $A_j\rightarrow A_{j+1}$. By the facts mentioned above, the construction and also the classification of ...-algebra with $n_1=n_2=\dots=2$ is called the CAR-algebra; it is generated by a family of operators $\{\alpha(f):\ f\in H\}$, where $H$ is some separable

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...set''. A central concept in [[Geometric measure theory]], first introduced by Besicovitch for $1$-dimensional sets in the plane. ...ce $\mathbb R^n$ can be defined in several ways. In what follows we denote by $\mathcal{H}^\alpha$ the $\alpha$-dimensional [[Hausdorff measure]].

...ons.pdf|pdf]] | [[Media:strong_mixing_conditions.tex|tex]]) is copyrighted by the author(s), the article has been donated to ''Encyclopedia of Mathematic generated by the random variables

....pdf|pdf]] | [[Media:generating_random_variables.tex|tex]]) is copyrighted by the author(s), the article has been donated to ''Encyclopedia of Mathematic The book by Devroye (1986)

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...$ with an $\mathbb{F}_{p^r}$-rational structure. Throughout we will denote by $q$ the value $p^{r/n}$, which is in general a rational number but is an in ...group]] $\SL_n(\mathbb{K})$ and $F$ to be the Frobenius endomorphism given by $F(x_{ij}) = (x_{ij}^q)$ where $q = p^a$ for some $a \in \mathbb{N}$. The r