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29 articles for “Euclidean”
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Some characterizations of Euclidean Norms Among Minkowski Norms
Abstract: In this paper we study the geometry of indicatrix of Minkowski norms. We give in dimension three, two geometric characterizations of Euclidean norms among Minkowski norms.Cite this ArticleReza Chavosh Khatamy, Dariush Latifi, Parisa Bahmandoust, Some character-izations of Euclidean norms among Minkowski norms. Research & Reviews: Discrete Mathematical Structures. 2015; 2(1): 15–19p.
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 2, Issue 1, 2015 · pp. 15–19 Read article
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Coxeter Dihedral Symmetric Tetrahedrons with Triangle Groups: Euclidean, Spherical and Hyperbolic
Abstract: Abstract: In this article, we have classified the Coxeter Dihedral Symmetric (CDS) tetrahedrons with triangle groups: Euclidean, Spherical and Hyperbolic. We have calculated the gram spectrums of these CDS tetrahedrons with triangle groups: Euclidean, spherical and hyperbolic, and finally studied their existence in the spaces: Euclidean, spherical and hyperbolic.MSC 2010 Codes: 51M05, 05C50, 15A45, 15A42, 05C69.Keywords: Coxeter Dihedral Symmetric Tetrahedrons, Triangle groups, gram matrix, spectrum, Euclidean, eigen valuesCite this Article: …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 6, Issue 3, 2019 · pp. 1–12 Read article
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A Novel Approach to Reduce Image Retrieval Problem Using Gabor Transform, Wavelet Transform and Euclidean Distance Measure
Abstract: In the processing of image, pattern recognition and computer vision, the image retrieval is a most famous research area. Our paper presents a new method in CBIR through merging the low level feature i.e. texture, color and shape features. At first, we transform the color space from RGB model to HSV model, and then extract color histogram to form color feature vector. CBIR is the process where search of image …
Published in E-Commerce for Future & Trends · Vol. 3, Issue 1, 2016 · pp. 10–15 Read article
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An Improved K-means Clustering Algorithm for Classification of Odor/Gas Sensor Data Using Normalized Cosine Distance Parameter
Abstract: This paper presents a novel approach of K-means Clustering for classification of odors/gases (E-nose) using cosine distance as a distance parameter. A sensor array constituting five sensors is exposed to four different types of gases to extract data. The problem of classifying the data into respective classes in considered as a K-means Clustering task. To quantify the amount of similitude between the data corresponding to same classes; usually euclidean distance …
Published in Journal of Image Processing & Pattern Recognition Progress · Vol. 2, Issue 2, 2015 · pp. 56–60 Read article
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Multicriteria Decision Making using SR-Fuzzy Sets
Abstract: In this study, we introduce and explore square-root fuzzy sets (SR-Fuzzy sets), a novel extension within the realm of fuzzy set theory. We begin by establishing a comparative analysis between SR-Fuzzy sets and two well-known fuzzy set models: Intuitionistic Fuzzy Sets (IFS) and Pythagorean Fuzzy Sets (PFS). This comparison highlights the unique characteristics and mathematical structure of SR-Fuzzy sets. A particular focus is placed on the complement operator, which plays …
Published in Recent Trends in Mathematics · Vol. 1, Issue 2, 2024 · pp. 12–20 Read article
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Information Classification Using Fuzzy Technique
Abstract: Abstract: In this paper, we propose a new method for fuzzy information classification. This method introduces the measurement of similarity between the information and the point in the n-dimensional space which is to be classified. The methodology for the development facility section routine for their placement in an open field is discussed.Keywords: Euclidean, fuzzy decision, information matching, n-dimensional space, pattern similarityCite this Article: Sarat K. Parhi, G. Das. Information Classification …
Published in Journal of Software Engineering Tools & Technology Trends · Vol. 6, Issue 3, 2019 · pp. 28–29 Read article
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Galois Theory and Ricci Flow Curvature Applications for Generating the Mandelbrot Set
Abstract: In this paper, an application of Galois theory is presented through Ricci flow curvature in Mandelbrot set. The Mandelbrot set is analyzed over Ricci flow equation for generating the fractal set simply. Although, the fractal set is generated as the points in the complex plane connected to the Julia set and approaches to infinity. This paper proposes an efficient method of fractal set generation based on onto-one correspondence between Ricci …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 9, Issue 3, 2022 · pp. 24–29 Read article
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An overview of fractal antennas
Abstract: Wireless communication for wireless applications is growing at a faster rate these days. There is a greater need for low-profile, multiband or wideband antennas. With the elevated low-profile antennas are in high demand due to advancements in antenna technology. The fractal antenna's self-similarity and self-repetitive characteristics enable it to satisfy this requirement. I give a thorough overview of fractals in this review paper, going on to discuss their dimensions and …
Published in Journal of Microwave Engineering and Technologies · Vol. 13, Issue 1, 2026 · pp. 1–7 Read article
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Procedure for Conventional Facial Emotion Detection Algorithms Based on Machine Learning
Abstract: Researchers in psychology, computer science, linguistics, neurology, and allied fields have become more interested in a human-computer interface system for autonomous face recognition or facial expression recognition. This study has recommended an Automatic Facial Expression Recognition System (AFERS). The proposed methodology consists of face detection, feature extraction, and facial expression identification processes. The initial phases of the face detection procedure include skin color identification using the YCbCr color model, illumination …
Published in International Journal of Electronics Automation · Vol. 1, Issue 1, 2023 · pp. 07–13 Read article
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A Novel Mathematical Exploration of Fractal Dynamics in Hyperbolic Spaces
Abstract: This research paper presents an original study on the behavior, generation, and properties of fractal structures within hyperbolic geometry. Unlike classical Euclidean fractals, hyperbolic fractals demonstrate accelerated boundary complexity and distinct scaling symmetries due to the curvature of the underlying space. The paper proposes new iterative models, analyzes geometric invariants, and explores potential applications in data visualization, network science, and theoretical physics. This research paper conducts an in-depth investigation into …
Published in Recent Trends in Mathematics · Vol. 3, Issue 1, 2026 · pp. 1–7 Read article
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Automatic Language Identification using Basic Signal Class
Abstract: Automatic language identification (ASLID) is a problem of identifying an unknown language from spoken utterance by a computer. A segmental approach to ASLID based on the assumption that the acoustic structure of languages can be estimated by segmenting speech into three basic classes of speech signals. This paper presents a procedure of ASLID with the details of methodology and the results without recognizing the words, but the lengths segments of …
Published in Trends in Electrical Engineering · Vol. 9, Issue 2, 2019 · pp. 12–19 Read article
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Fractional Riemannian Fuzzy C-Means with Time-Series Regularization for Economic Manifold Forecasting
Abstract: A fractional Riemannian fuzzy c-means framework is proposed for uncertain economic forecasting on non-Euclidean data domains. Observations are represented on a Riemannian manifold, cluster centres are intrinsic prototypes, and a latent fuzzy regime signal is regularised by both autoregressive and fractional-memory penalties. The resulting objective couples geometric clustering with time-series consistency, thereby discouraging partitions that are locally plausible but temporally incoherent. Closed-form membership updates, exponential-map centre updates, normal equations for …
Published in Recent Trends in Mathematics · Vol. 3, Issue 2, 2026 · pp. 49–55 Read article
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Algebraic Foundations of Generalized Signal Processing: A Unified Approach Across Domains
Abstract: Using the techniques of algebra, notably polynomial algebras and modules, algebraic signal processing (ASP) is a contemporary, abstract framework that generalizes conventional signal processing— including Fourier analysis, filtering, and convolution. The notion is to use algebraic structures to explain signals, systems, and transformations such that ideas may be understood and generalized across many domains, including time, space, graph, or group. A unifying theoretical framework called ASP generalizes classical signal processing …
Published in Current Trends in Signal Processing · Vol. 15, Issue 3, 2025 · pp. 33–44 Read article
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Node Deployment Techniques for Link Prediction in Heterogeneous Social Networks
Abstract: AbstractThis research analyses the coverage problem in heterogeneous social network system with two types of sensor nodes having different sensing ranges. The Particle Swarm Optimization (PSO) algorithm is implemented for coverage optimization in heterogeneous network system. This algorithm is used for finding the optimal deployment of the sensor nodes by using specific fitness function. The performance of sensor nodes after running PSO algorithm is evaluated by using Euclidean distances for …
Published in Recent Trends in Sensor Research & Technology · Vol. 7, Issue 1, 2020 · pp. 16–22 Read article
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A Web-Enabled Fuzzy Expert System Shell for Flower Rose
Abstract: ABSTRACTThis paper presents a proposed expert system shell ROSEX. ROSEX deals with horticulture domain mainly for flower rose. The objective of development ROSEX is to facilitate farmers who involved in horticulture sector to provide complete details about variety, soil, temperature, environment, diseases and pests related to rose flower. We apply live data which was gathered from district headquarter of horticulture, Baghpat (Uttar Pradesh) India. For implementation, a fuzzy based technique …
Published in Journal of Computer Technology & Applications · Vol. 1, Issue 1-3, 2011 · pp. 35–45 Read article
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Design and Development of Web based Fuzzy Expert System for Diseases Diagnosis in Horticulture Sector: A Case Study of Flower Rose
Abstract: AbstractThe internet provides a platform for research and development of intelligent software applications. This paper suggests a new approach for inculcating intelligence in the computational system for diagnosis of diseases in plants of horticulture domain. In this paper, a web-based expert system is designed and developed. The need of horticulturists changes according to region of a country so it is very necessary to update knowledge base according to requirement of …
Published in Journal of Computer Technology & Applications · Vol. 4, Issue 1, 2013 · pp. 5–15 Read article
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Dimensionality Reduction using Eigenfaces and Fisherfaces for Face Recognition Applications using Kernel LMS Algorithm
Abstract: AbstractFace recognition is an intricate numerical technology in computer systems that can support recognition of human faces using methods such as principal component analysis (PCA), linear discriminant analysis (LDA), etc. by comparing the given facial uniqueness with the already available face database. PCA and LDA are classical feature extraction and data representation techniques used in face recognition algorithm involving unsupervised statistical methods. The 2-D facial image can be transformed into …
Published in Journal of Computer Technology & Applications · Vol. 6, Issue 2, 2015 · pp. 29–55 Read article
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Examining the Crowd in Real-time with Deep Learning
Abstract: In this research, a model is proposed that can be used to estimate crowd density in a specific region and to establish social distances in accordance with predetermined rules. This is accomplished utilizing a multi-source model-based approach. In a small public gathering where hand counting is impossible, this technique conducts a survey. To do this, input video frames are extracted, each frame is processed, and then passed to the model …
Published in Journal of Computer Technology & Applications · Vol. 14, Issue 1, 2023 · pp. 41–45 Read article
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Harnessing Artificial Intelligence for Precision Physics: A Machine Learning Framework for Data Reconstruction in Support of India's Deep-Tech Missions
Abstract: India's emergence as a global leader in deep-tech innovation is driven by ambitious scientific megaprojects, including the Laser Interferometer Gravitational-Wave Observatory (LIGO)-India, the X-ray Polarimeter Satellite (XPoSat), the Aditya-L1 solar observatory, and the National Quantum Mission (NQM). However, the unprecedented scale and complexity of the observational data generated by these missions present severe computational bottlenecks. Traditional analytical frameworks struggle with non-stationary noise transients, diffusion blurring, and the exponential scaling limits …
Published in Research & Reviews : Journal of Physics · Vol. 15, Issue 2, 2026 · pp. 48–55 Read article
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Identification of Thyroid Disease Severity using Fuzzy C-Means
Abstract: Clustering is a primary data description method in data mining which group’s most similar data. Data clustering is one of the important problems in the fields of data mining, bio-informatics and pattern recognition. Various algorithms are used to solve this problem. This paper presents the performance analysis of k-means clustering algorithm and compares it with fuzzy C- Means (FCM) algorithm on Thyroid disease data set. We also find the accuracy …
Published in Journal of Advanced Database Management & Systems · Vol. 1, Issue 1, 2014 · pp. 13–19 Read article