Suppose that (A0, A1) and (B0, B1) are Banach couples, and that T is a linear operator which maps A0 compactly into B0 and A1 boundedly (or even compactly) into B1. Does this imply that T : [A0, A1]θ → [B0, B1]θ compactly? (Here, as usual, [A0, A1]θ denotes the complex interpolation space of Alberto Calderón.) This question has been open for 44 years. Affirmative answers are known for it in man...

water plays a vital role in the development of activities in an area. the surface water resources are inadequate to fulfill the water demand. productivity through groundwater is quite high as compared to surface water, but groundwater resources have not yet been properly exploited. keeping this view, the present study attempts to select and delineate various groundwater potential zones for the ...

Clustering is a central concern in geographic data science and reflects large, active domain of research. In spatial clustering, it often challenging to balance two kinds ‘goodness fit:’ clusters should have ‘feature’ homogeneity, that they aim represent one ‘type’ observation, also ‘geographic’ coherence, some detected geographical ‘place’. This divides ‘map typologization’ studies, common geo...

Transmission of important data like text, images, video, etc over the internet is increases now days, hence it’s necessary to use of secure methods for multimedia data. Image encryption is most secure than other multimedia components encryption because some inherent properties, such as huge data capacity and high correlation between pixels. The older encryption techniques such as AES, DES, RTS ...

The purpose of this study was to identify a technique that allows for comprehensive chromosome screening (CCS) of individual cells within human blastocysts along with the approximation of their location in the trophectoderm relative to the inner cell mass (ICM). This proof-of-concept study will allow for a greater understanding of chromosomal mosaicism at the blastocyst stage and the mechanisms...

The paper proposes a novel algorithm to dynamically define the Region of Interest (ROI) videophone application. The algorithm uses the color information Hue and Cr to find the skincolor pixels and also use range of threshold obtained from red and blue components in normalized RGB color space to remove nonskincolor pixels because the human skin tends to have a predominance of red and non-predomi...