Measuring flatness in linear spaces

Flatness on Algebraic Spaces 0cu3

Remotality and proximinality in normed linear spaces

In this paper, we consider the concepts farthest points and nearest points in normed linear spaces, We obtain a necessary and coecient conditions for proximinal, Chebyshev, remotal and uniquely remotal subsets in normed linear spaces. Also, we consider -remotality, -proximinality, coproximinality and co-remotality.

Measuring the Skyshine from Linear accelerator in Rajaee Oncology Hospital

Introduction: Radiation therapy is using the ionizing radiation to eliminate or minimize cancerous tissues. This method has been very much considered in recent years. Because of the high energy of the photons produced by the accelerator, it is necessary to protect the walls, roof and the floor of the treatment rooms using the concrete and leaden materials. One of these harmful ...

Measuring Adjective Spaces

In this article, we use the model adjectives using a vector space model. We further employ three different dimension reduction methods, the Principal Component Analysis (PCA), the Self-Organizing Map (SOM), and the Neighbor Retrieval Visualizer (NeRV) in the projection and visualization task, using antonym test for evaluation. The results show that while the results between the three methods ar...

Cyclic wavelet systems in prime dimensional linear vector spaces

Finite affine groups are given by groups of translations and di- lations on finite cyclic groups. For cyclic groups of prime order we develop a time-scale (wavelet) analysis and show that for a large class of non-zero window signals/vectors, the generated full cyclic wavelet system constitutes a frame whose canonical dual is a cyclic wavelet frame.