In the title compound, C(6)H(9)N(3)O(3), the 3-diazo-2-oxopropan-amide section of the mol-ecule is nearly planar, with a maximum deviation of 0.025 (1) Å from the mean plane of its constituent atoms. The diazo C=N=N angle is 178.0 (3)°. In the crystal, pairs of inter-molecular O-H⋯O and N-H⋯O hydrogen bonds link the mol-ecules into infinite double chains along the [100] direction. The double ch...

We introduce a new stopping-time argument, adapted to handle linear sums of noncompactly-supported functions that satisfy fairly weak decay, smoothness, and cancellation conditions. We use the argument to obtain a new Littlewood-Paley-type result for such sums. 0. Introduction. First, an apology. The title, though correct, is somewhat misleading. It should be “Global almostorthogonality implies...

This paper proposes an alternate structure for C++ compilers. Type analysis is removed from the compiler and replaced with a type system library which is treated as source code by the compiler. Type computations are embedded in the intermediate language of the compiler, and partial evaluation is used to drive type analysis and template in-stantiation. By making simple changes to the behavior of...

Various concepts of orthogonality on the real line are reviewed that arise in connection with quadrature rules. Orthogonality relative to a positive measure and Gauss-type quadrature rules are classical. More recent types of orthogonality include orthogonality relative to a sign-variable measure, which arises in connection with Gauss-Kronrod quadrature, and power (or implicit) orthogonality enc...