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A Sharp Geometric Estimate for the Index of an Umbilic on a Smooth Surface

Bulletin of the London Mathematical Society, 1992
The authors prove the following two results: Theorem 1. Let \(f: M\to E^ 3\) be a smooth immersion of a smooth surface into \(E^ 3\) with an isolated umbilic at \(p_ 0\in M\) of index \(j\) satisfying \(| j|\geq 1\). Then \(p_ 0\) is a critical point of the mean curvature \(H\) and the Gauss curvature \(K\) and the 3-jet of \(H^ 2-K\) vanishes at \(p_ ...
Smyth, Brian, Xavier, Frederico
openaire   +1 more source

On the sharp bounds of bicyclic graphs regarding edge Szeged index

Applied Mathematics and Computation, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yan Yao, Shengjin Ji, Guang Li
openaire   +2 more sources

Sharp lower bounds on the Narumi–Katayama index of graph operations

Applied Mathematics and Computation, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

Sharp Bounds for the General Randic Index of \(R\)-Graph Products

Ars Combinatoria
A chemical structure specifies the molecular geometry of a given molecule or solid in the form of atom arrangements. One way to analyze its properties is to simulate its formation as a product of two or more simpler graphs. In this article, we take this idea to find upper and lower bounds for the generalized Randić index \(\mathcal{R}_{\alpha}\) of ...
Zhang, Xiujun   +5 more
openaire   +1 more source

Optimum Portfolio Construction: Sharpe Single Index Model

International Journal of Scientific Research, 2012
Wise Investors invest their valued money in bunch of securities rather than in single security because they want to take advantage of diversification of risk and they want to earn maximum return. Bunch of securities is known as Portfolio and this portfolio should possess minimum risk and maximum return. In this research we construct Sharpe single index
Radhika Desai, Manisha Surti
openaire   +1 more source

A no-reference image quality index for contrast and Sharpness measurement

2013 3rd IEEE International Advance Computing Conference (IACC), 2013
Image quality evaluation plays a very important role in quantifying the quality of an image. Most of the indices already proposed can quantify only single types of distortions and they are also not very well correlated with Human Visual System (HVS).
M. Trivedi, A. Jaiswal, V. Bhateja
openaire   +1 more source

Construction of Optimal Portfolio using Sharpe Index Model

SSRN Electronic Journal, 2012
The investor always prefers to have less risk and higher returns and to mitigate the risk and investors will do diversification. Diversification means combine of two or more assets, which gives the least risk and highest return. Combine of two or more assets is called portfolio.
openaire   +1 more source

Robustness of Sharpe single index model in Indian market: a unique approach to identify gems

International Journal of Public Sector Performance Management, 2023
Miklesh Prasad Yadav
exaly  

Sharpe Index Based Portfolio Optimization Using Computational Intelligence

2023 IEEE International Conference on Artificial Intelligence in Engineering and Technology (IICAIET), 2023
Ahmed Abbas, Kamran Raza
openaire   +1 more source

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