We describe the implementation of a fluid dynamical benchmark on two Thinking Machines Corporation parallel computers the 65,536 processor CM-200 computer and the 1024-node CM-5 computer. The benchmark, the Shallow Water Equations, is frequently used as a model for both oceanographic and atmospheric circulation. We describe the steps involved in implementing the algorithm on the computers and w...

We define Jacobi forms with complex multiplication. Analogous to modular multiplication, they are constructed from Hecke characters of the associated imaginary quadratic field. From this construction we obtain a form which specializes η(τ)26 present highlight an open question Dyson and Serre. give other examples applications multiplication including constructing theta blocks elliptic curves new...

When writing can change your life, when writing can enrich you by offering much money, why don't you try it? Are you still very confused of where getting the ideas? Do you still have no idea with what you are going to write? Now, you will need reading. A good writer is a good reader at once. You can define how you write depending on what books to read. This international classification of disea...

OBJECTIVES The inability to access regular dental care may lead to care seeking at hospital emergency departments (EDs). However, EDs generally are not equipped or staffed to provide definitive dental services. This study examined trends and patterns of hospital ED use for dental-related reasons in Florida, a large, diverse state with serious barriers to accessing dental care. METHODS Data fo...

The Connection Machine CM-5 supports both SIMD and MIMD programming modes. The SIMD mode is simulated over the MIMD mode. This simulation is likely to lead to a loss of performance in SIMD programs. This paper describes the design and implementation of benchmarks which were used to bring out the diierence in speed between the two programming modes with CM Fortran and message-passing Fortran. Tw...