Abstract P-269

The distribution of α p modulo one 269

We prove that, for any irrational number α, there are infinitely many primes p such that ‖αp‖ < p−1/3+ . Here ‖y‖ denotes the distance from y to the nearest integer. The proof uses Harman’s sieve method with arithmetical information coming from bounds for averages of Kloosterman sums.

Bez nazwy-269

Npgrj_ng_1956 269..275

In many prokaryotes and eukaryotes, DNA methylation at cis-regulatory sequences determines whether gene expression is on or off. Stable inheritance of these expression states is required in bacterial pathogenesis, cancer and developmental pathways1,2. Here we delineate the factors that control the stability of these states by using the agn43 gene in Escherichia coli as a model system. Systemati...

UCSD ECE 269 Handout

1. When is it true? (5 points for each correct answer, -3 point for each wrong answer, 0 point for each blank) Fill in each blank with “always,” “sometimes,” or “never.” For example, • A nonsingular matrix is always invertible. • A square matrix is sometimes full-rank. • A strictly tall matrix is never onto. Here the matrix dimensions are such that each expression makes sense, but they are othe...

Tr-269 (19-27)

False mildew is a serious disease of safflower crops in the Yaqui Valley, Mexico, and is caused by infection with a fungus belonging to the genus Ramularia. In the present study, a fungus isolated from leaf lesions was grown under different growth conditions in order to study its mycelial growth and spore production, determining that the solid medium of Septoria tritici at 18 °C of incubation a...