The objective of this paper is to present an Automated Geometric defect Diagnosis methodology for EEPROM cell (AGDE). This method focuses on speeding up the diagnosis process of geometric defect. It is based on a mathematical model generated with a “Design Of Simulation” (DOS) technique. The DOS technique takes as input, simulations results of a floating gate transistor with different given geo...

I discuss various mathematical constructions that combine together to provide a natural setting for discrete and continuum geometric models of defective crystals. In particular I provide a quite general list of ‘plastic strain variables’, which quantifies inelastic behaviour, and exhibit rigorous connections between discrete and continuous mathematical structures associated with crystalline mat...

The discovery of Mathematical Viruses is announced here for the first time. Such viruses are a serious threat to the general mental health of the mathematical community. Several viruses inimical to the unity of mathematics are identified, and their deleterious characteristics are described. A strong dose of geometric algebra and calculus is the best medicine for both prevention and cure.

Calabi-Yau manifolds are geometric objects of central importance in several branches of mathematics, including differential geometry, algebraic geometry, and mathematical physics. In this paper, we give a brief introduction to the subject aimed at a general mathematical audience and present some of our results that shed some light on the possible ways in which families of Calabi-Yau manifolds c...