S. M. Khairnar

ORCID: 0000-0003-1251-3914
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About
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Research Areas
  • Analytic and geometric function theory
  • Holomorphic and Operator Theory
  • Fixed Point Theorems Analysis
  • Fractional Differential Equations Solutions
  • Iterative Methods for Nonlinear Equations
  • Nonlinear Differential Equations Analysis
  • Differential Equations and Boundary Problems
  • Algebraic and Geometric Analysis
  • Advanced Differential Geometry Research
  • Mathematical functions and polynomials
  • Image and Signal Denoising Methods
  • Approximation Theory and Sequence Spaces
  • Crystal Structures and Properties
  • Advanced Mathematical Theories
  • Polymer Synthesis and Characterization
  • Mathematical Inequalities and Applications
  • Differential Equations and Numerical Methods
  • Nonlinear Waves and Solitons
  • Gamma-ray bursts and supernovae
  • Video Analysis and Summarization
  • Statistical Distribution Estimation and Applications
  • Structural mechanics and materials
  • Minimally Invasive Surgical Techniques
  • Medical Image Segmentation Techniques
  • Digital Filter Design and Implementation

MIT Academy of Engineering
2014-2020

MIT Art, Design and Technology University
2014-2020

Abstract The JWST Advanced Deep Extragalactic Survey (JADES) is a multicycle program that has taken among the deepest near- and mid-infrared images to date (down ∼30 AB mag) over ∼25 arcmin 2 in GOODS-S field two sets of observations with 1 yr separation. This presented first opportunity systematically search for transients, mostly supernovae (SNe), out z > 2. We found 79 SNe: 38 at < 2, 23 3, 8 3 4, 7 4 5, undetermined redshifts, where redshifts are predominantly based on...

10.3847/1538-4357/ad8fab article EN cc-by The Astrophysical Journal 2025-01-29

The interest in leveraging Artificial Intelligence (AI) for surgical procedures to automate analysis has witnessed a significant surge recent years. One of the primary tools recording and conducting subsequent analyses, such as performance assessment, is through videos. However, these operative videos tend be notably lengthy compared other fields, spanning from thirty minutes several hours, which poses challenge AI models effectively learn them. Despite this challenge, foreseeable increase...

10.48550/arxiv.2501.11153 preprint EN arXiv (Cornell University) 2025-01-19

Some hybrid fixed point theorems of Krasnosel’skii type, which involve product two operators, are proved in partially ordered normed linear spaces. These then applied to fractional integral equations for proving the existence solutions under certain monotonicity conditions blending with upper or lower solution.

10.1155/2014/710746 article EN cc-by Abstract and Applied Analysis 2014-01-01

In this paper, using differential operator, we have introduce new class of p-valent uniformly convex functions in the unit disc U = {z : |z| < 1} and obtain coefficient bounds, extreme bounds radius starlikeness for belonging to generalized class. Furthermore, partial sums <TEX>$f_k(z)$</TEX> <TEX>$f(z)$</TEX> <TEX>$S^*({\lambda},{\alpha},{\beta})$</TEX> are considered. The various results obtained paper sharp.

10.11568/kjm.2011.19.1.001 article EN Korean Journal of Mathematics 2011-03-30

In the field of pattern recognition, achieving high accuracy is essential. While training a model to recognize different complex images, it vital fine-tune achieve highest possible. One strategy for fine-tuning involves changing its activation function. Most pre-trained models use ReLU as their default function, but switching function like Hard-Swish could be beneficial. This study evaluates performance using ReLU, Swish and functions across diverse image datasets. Our results show 2.06%...

10.48550/arxiv.2410.06879 preprint EN arXiv (Cornell University) 2024-10-09

Automated assessment of surgical skills using artificial intelligence (AI) provides trainees with instantaneous feedback. After bimanual tool motions are captured, derived kinematic metrics reliable predictors performance in laparoscopic tasks. Implementing automated tracking requires time-intensive human annotation. We developed AI-based the Segment Anything Model (SAM) to eliminate need for annotators. Here, we describe a study evaluating usefulness our model during suturing task...

10.48550/arxiv.2412.16195 preprint EN arXiv (Cornell University) 2024-12-16

Abstract The advances in the image processing area demand for improvement segmentation methods. Effect of light and noise being ignored while tracing objects interest addition to this texture is also one most important factors analyzing an automatically. Among diverse methods, graph-based techniques are widespread because their capabilities generating accurate structures. In paper, we have proposed a novel technique by using discrete particle swarm optimization multilevel partitioning image....

10.1186/s43067-020-00012-9 article EN cc-by Journal of Electrical Systems and Information Technology 2020-03-16

This paper inaugurate two subclasses of bi-univalent functions on open unit disk \(\Delta\) and obtain estimates the initial coefficient for in these by using Sălăgean Ruscheweyh differential operators.

10.26713/cma.v14i3.2383 article EN cc-by Communications in Mathematics and Applications 2023-10-18

One approach to Smarandache friendly numbers is given by A.Murthy, who deflned them Ref (1). Another presented here.

10.5281/zenodo.9685 preprint EN viXra 2009-05-26

Abstract In this paper we introduce the class

10.1515/dema-2013-0230 article EN cc-by Demonstratio Mathematica 2010-01-01
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