Aided by ultrahigh resolution spectroscopy, the overall systematic uncertainty of the 1S0-3P0 clock resonance for lattice-confined 87Sr has been characterized to 9 x 10(-16). This uncertainty is at a level similar to the Cs-fountain primary standard, while the potential stability for the lattice clocks exceeds that of Cs. The absolute frequency of the clock transition has been measured to be 42...

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A Wieferich prime is a prime p such that 2p−1 ≡ 1 (mod p2). Despite several intensive searches, only two Wieferich primes are known: p = 1093 and p = 3511. This paper describes a new search algorithm for Wieferich primes using double-precision Montgomery arithmetic and a memoryless sieve, which runs significantly faster than previously published algorithms, allowing us to report that there are ...

Let’s consider several Gaussian Bayes classification Models for the classification problem P (Y |X). All models here assume there are two classes (Y ∈ {0, 1}), that X is a vector of real-valued features, and P (X|Y = 1) and P (X|Y = 0) are modeled by two different Gaussian distributions. Please complete the following table by filling in the number of parameters and VC dimension of different Gau...