We prove that the level sets of a real C function of two variables near a non-degenerate critical point are of class C [s/2] and apply this to the study of planar sections of surfaces close to the singular section by the tangent plane at an elliptic or hyperbolic point, and in particular at an umbilic point. We go on to use the results to study symmetry sets of the planar sections. We also anal...

Abstract This paper presents an EEG (Electroencephalography) study that explores the correlation between variation across design stages and quality of outcomes. The brain activations 33 volunteers with engineering backgrounds were recorded while performing a task using morphological table to develop amphibious bike. variations from analysing/selecting stage illustrating analysed based on freque...

The amount of meritocracy system establishment in the government agencies of Ahvaz is assessed in this study. Meritocracy is a system in which the job benefits and situations are given to the people just on the basis of merit and not based on the gender, social class, ethnicity or wealth. Statistical society is the employers of government organizations of Ahvaz (N=10377) and the volume of sampl...

Following in a vein similar to [Zhao et al., 2001], the goal of this project is to develop fast and accurate schemes to reconstruct shapes from unorganised data-sets using variational level set methods. The approach followed is based primarily on the gradient-flow scheme derived in class from variational considerations, and uses implementation details borrowed from [Zhao, 2004, Osher and Fedkiw...

In this paper we define pairwise-$\alpha$-paracompact subsets as a generalisation of $\alpha$-paracompact in topological spaces and study their properties its relations with other bitopological spaces. Several theorems are obtained concerning sets. We introduced the definition $p$-paracompact bitoplogical