A note on normal dilations

A note on normal numbers

Many cyberinformaticians would agree that, had it not been for the transistor, the construction of link-level acknowledgements might never have occurred. Given the current status of probabilistic modalities, electrical engineers obviously desire the improvement of rasterization, which embodies the structured principles of robotics. In this position paper, we concentrate our efforts on verifying...

Normal CP-Maps Admit Weak Tensor Dilations

Note on Normal Decimals

It was proved by Champernowne [2] that the decimal . 1234567891011 . . . is normal, and by Besicovitch [11 that the same holds for the decimal . 1491625 . . . . Copeland and Erdös [3] have proved that if p i, P2 . . . . is any sequence of positive integers such that, for every 0 < 1, the number of p's up to n exceeds nB if n is sufficiently large, then the infinite decimal •p ip 2p 3 . . . is n...

A Note on Matrix Variate Normal Distribution

Let X1 and X2 be two identically distributed random variables. Suppose that X1 | X2=x2 has a N(ax2+b, _) distribution for all x2 # R, where & 0. Ahsanullah (1985) showed that these conditions imply |a|<1, X1 , and X2 have a common normal distribution with mean b (1&a;) and variance _ (1&a;), and the joint distribution of X1 and X2 is a bivariate normal distribution with covariance a_ (...

A note on Riemann normal coordinates

The goal of this note is to provide a recursive algorithm that allows one to calculate the expansion of the metric tensor up to the desired order in Riemann normal coordinates. We test our expressions up to fourth order and predict results up to sixth order. For an arbitrary number of symmetric partial derivatives acting on the components of the metric tensor subtle treatment is required since ...