The convergence of Fourier series of trigonometric functions is easy to see, but the same question for general functions is not simple to answer. We study the convergence of Fourier series in Lpâ€¦ (More)

Na2Ti2Sb2O is a parent compound of the titanium-based oxypnictide superconductors. It possesses a phase transition at Ts = 115 K whose nature is still unclear. Here we report a scanning tunnellingâ€¦ (More)

The title compound, C(10)H(10)N(2) (2+)Â·C(10)H(8)O(4) (2-), has inversion centres located at the geometric centres of the 1,4-phenyl-enediacetate anion and 4,4'-bipyridinium cation. The anions andâ€¦ (More)

In the title compound, [Dy(C(5)H(2.5)N(2)O(4))(2)(C(12)H(8)N(2))(2)]Â·2H(2)O, the Dy(III) ion is located on a twofold rotation axis and is coordinated in a square-anti-prismatic geometry by twoâ€¦ (More)

The No Child Left Behind Act has brought great attention to the high school graduation rate as one of the mandatory accountability measures for public school systems. However, there is no consensusâ€¦ (More)

In the structure of the title compound, C(8)H(7)N(5)O, the pyridine ring and the imidazole ring are nearly coplanar, making a dihedral angle of 2.97â€…(15)Â°. An intra-molecular N-Hâ‹¯O hydrogen bondâ€¦ (More)

We prove the power law decay p(t, x) âˆ¼ tâˆ’Ï†(x,b)/2 in which p(t, x) is the probability that the fraction of time up to t in which a random walk S of i.i.d. zero-mean increments taking finitely manyâ€¦ (More)

In number theory, the prime number theory describes the asymptotic distribution of prime numbers. We all know that there are infinitely many primes,but how are they distributed? Dirichletâ€™s theoremâ€¦ (More)