The Stanford Nanosecond Arithmetic Project is targeted at realizing an arithmetic processor with performance approximately an order of magnitude faster than currently available technology. The realization of SNAP is predicated on an interdisciplinary approach and effort spanning research in algorithms, data representation, CAD, circuits and devices, and packaging. SNAP is visualized as an arith...

The use of graph theory can be visualized in nanochemistry, computer networks, Google maps, and molecular which are common areas to elaborate application this subject. In a numeric number (topological index) is used estimate the biological, physical, structural properties chemical compounds that associated with graph. paper, we compute first second multiplicative Zagreb indices ( <math xmlns="h...

This paper rst recalls by some examples the damages that the numerical inaccuracy of the oating-point arithmetic can cause during geometric computations, and it intends to explain why damages for geometric computations diier from those met in numerical computations. Then it surveys the various approaches proposed to overcome inaccuracy diiculties; conservative approaches use classical geometric...

Using the arithmetic-geometric mean inequality, we give bounds for k-subpermanents of nonnegative n × n matrices F. In the case k = n, we exhibit an n 2-set S whose arithmetic and geometric means constitute upper and lower bounds for per(F)/n!. We offer sharpened versions of these bounds when F has zero-valued entries.

The paper discusses the asymptotic behavior of generalizations of the Gauss’s arithmetic-geometric mean, associated with the names Meissel (1875) and Borchardt (1876). The "hapless computer experiment" in the title refers to the fact that the author at an earlier stage thought that one had genuine asymptotic formulae but it is now shown that in general "fluctuations" are present. However, no ve...

The eastern society is rich in terms of science and technology. Mathematics considered as the base science. history shows that Hindu mathematics. evolution mathematics can be studied from time ‘patiganita’ to latest form Geometric series an important tool arithmetic which now developed hypergeometric function. Hypergeometric function advance used solve differential equations second order. purpo...