In this paper, we show that any compact quasi k-Yamabe gradient soliton must have constant \(\sigma _{k}\)-curvature. Moreover, provide a certain condition for to be gradient, and noncompact solitons, present geometric rigidity under decay on the norm of field.

We propose new visualization techniques for the user behaviors when using search engine results pages. Our visualization method provides an overview of a user’s actual visual behavior using the logs for eye-movement data and browser link-clicking. We also report on the eye-movement data collected from user experiments.

Let $H=(V,E)$ be an $s$-uniform hypergraph of order $n$ and $k\geq 0$ integer. A $k$-independent set $S\subseteq H$ is a vertices such that the maximum degree in induced by $S$ at most $k$. Denoted $\alpha_k(H)$ cardinality $H$. In this paper, we first give lower bound Furthermore, prove $\alpha_k(H)\geq \frac{s(k+1)n}{2d+s(k+1)}$ where $d$ average $H$,

The degree of polarization of rainbows of order k with k≥3 is bounded in the interval [75%, 78%], where 75% is the limit for k→∞. A polarization filter can improve the signal-to-background ratio of the third and fourth rainbows by a factor of 2, which may lift their visibilities in natural circumstances above the threshold of human visual perception. Under optimal circumstances, the latter may ...

Clusters of Microcalcifications which appear like small white grains of sand on Mammograms are the earliest signs of Breast Cancer. In this work we employ a Gabor filter bank for texture analysis of mammograms to detect microcalcifications. A subset of the Gabor filter bank with a certain central frequency and different orientations is used to obtain the Gabor-filtered images. The filtered imag...

Ion channel opening and closing are fundamental to cellular signalling and homeostasis. Gates that control K(+) channel activity were found both at an intracellular pore constriction and within the selectivity filter near the extracellular side but the specific location of the gate that opens Ca(2+)-activated K(+) channels has remained elusive. Using the Methanobacterium thermoautotrophicum hom...

We propose a Gabor-Alter-based method for fingerprint recognition in this paper. The method makes use of Gabor filtering technologies and need only to do the core point detection before the feature extraction process without any other pre-processing steps such as smoothing, binarization, thinning, and minutiae detection. The proposed Gabor-filter-based features play a central role in the proces...