Much effort in scientific visualization is put towards the representation and communication of three-dimensional objects. Typically, an investigator labors in front of a graphics workstation, twiddling knobs and flipping switches until meaningful views of the object are created. Once the investigator has found the correct representation of the data, the problem arises of how to communicate this...

Yoshiaki NAKAZAWA*, Kenji TAMURA *, Michitaka YOSHIDA* Katsutoshi TAKAGI† and Mitsutoshi KANO† * Sumitomo Metal Industries, Ltd. Corporate Research and Development Laboratories 1-8 Fuso-cho, Amagasaki, Hypgo, 660-0891, Japan e-mail: [email protected], web page: http://www. sumitomometals.co.jp †Toyoda Iron Works CO., LTD. Product Research and Development DIV.NO.2 4-50 Hosoya-cho...

Let R be a commutative ring with nonzero identity and let id="M2"> Z its set of zero divisors. The zero-divisor graph id="M3"> is the id="M4"> ? vertex id="M5"> V = ? , wh...

Sei Murakami, Dr. Eng. Haruo Suzuki Keisuke Shibuya, Dr. Sc. OVERVIEW: The development of innovative pharmaceuticals with potential for meeting unmet medical needs and vaccines that protect against infectious diseases is very important for ensuring people’s health and welfare. However, biopharmaceuticals and vaccines that make these developments possible are more easily affected by the producti...

The structure of phase space is determined for spatially compact and locally homogeneous universe models with fluid. Analysis covers models with all possible space topologies except for those covered by S, H or S × R which have no moduli freedom. We show that space topology significantly affects the number of dynamical degrees of freedom of the system. In particular, we give a detailed proof of...