International Journal of Engineering Research and Applications (IJERA) is an open access online peer reviewed international journal that publishes research and review articles in the fields of Computer Science, Neural Networks, Electrical Engineering, Software Engineering, Information Technology, Mechanical Engineering, Chemical Engineering, Plastic Engineering, Food Technology, Textile Engineering, Nano Technology & science, Power Electronics, Electronics & Communication Engineering, Computational mathematics, Image processing, Civil Engineering, Structural Engineering, Environmental Engineering, VLSI Testing & Low Power VLSI Design etc.
Cr-Submanifolds of a Nearly Hyperbolic Kenmotsu Manifold Admitting a Quater S...IJERA Editor
We consider a nearly hyperbolic Kenmotsu manifold with a quarter symmetric metric connection and study CRsubmanifolds
of a nearly hyperbolic Kenmotsu manifold with quarter symmetric metric connection. We also
study parallel distributions on nearly hyperbolic Kenmotsu manifold with quarter symmetric metric connection
and find the integrability conditions of some distributions on nearly hyperbolic Kenmotsu manifold with quarter
symmetric metric connection.
CR- Submanifoldsof a Nearly Hyperbolic Cosymplectic ManifoldIOSR Journals
In the present paper, we study some properties of CR-submanifolds of a nearly hyperbolic cosymplectic manifold. We also obtain some results on 𝜉−horizontal and 𝜉−vertical CR- submanifolds of a nearly hyperboliccosymplectic manifold.
Cr-Submanifolds of a Nearly Hyperbolic Kenmotsu Manifold Admitting a Quater S...IJERA Editor
We consider a nearly hyperbolic Kenmotsu manifold with a quarter symmetric metric connection and study CRsubmanifolds
of a nearly hyperbolic Kenmotsu manifold with quarter symmetric metric connection. We also
study parallel distributions on nearly hyperbolic Kenmotsu manifold with quarter symmetric metric connection
and find the integrability conditions of some distributions on nearly hyperbolic Kenmotsu manifold with quarter
symmetric metric connection.
CR- Submanifoldsof a Nearly Hyperbolic Cosymplectic ManifoldIOSR Journals
In the present paper, we study some properties of CR-submanifolds of a nearly hyperbolic cosymplectic manifold. We also obtain some results on 𝜉−horizontal and 𝜉−vertical CR- submanifolds of a nearly hyperboliccosymplectic manifold.
CR-Submanifolds of a Nearly Hyperbolic Cosymplectic Manifold with Semi-Symmet...iosrjce
We consider a nearly hyperbolic cosymplectic manifold and we study some properties of CRsubmanifolds
of a nearly cosymplectic manifold with a semi-symmetric semi-metric connection. We also obtain
some results on 휉−horizontal and 휉 −vertical CR- submanifolds of a nearly cosymplectic manifold with a semisymmetric
semi-metric connection and study parallel distributions on nearly hyperbolic cosymplectic manifold
with a semi-symmetric semi-metric connection.
IOSR Journal of Mathematics(IOSR-JM) is an open access international journal that provides rapid publication (within a month) of articles in all areas of mathemetics and its applications. The journal welcomes publications of high quality papers on theoretical developments and practical applications in mathematics. Original research papers, state-of-the-art reviews, and high quality technical notes are invited for publications.
Numerical solution of heat equation through double interpolationIOSR Journals
In this article an attempt is made to find the solution of one-dimensional Heat equation with initial and boundary conditions using the techniques of numerical methods, and the finite differences. Applying Bender-Schmidt recurrence relation formula we found u(x ,t) values at lattice points. Further using the double interpolation we found the solution of Heat equation as double interpolating polynomial
International Journal of Engineering Research and Applications (IJERA) is an open access online peer reviewed international journal that publishes research and review articles in the fields of Computer Science, Neural Networks, Electrical Engineering, Software Engineering, Information Technology, Mechanical Engineering, Chemical Engineering, Plastic Engineering, Food Technology, Textile Engineering, Nano Technology & science, Power Electronics, Electronics & Communication Engineering, Computational mathematics, Image processing, Civil Engineering, Structural Engineering, Environmental Engineering, VLSI Testing & Low Power VLSI Design etc.
International Journal of Engineering Research and Applications (IJERA) is an open access online peer reviewed international journal that publishes research and review articles in the fields of Computer Science, Neural Networks, Electrical Engineering, Software Engineering, Information Technology, Mechanical Engineering, Chemical Engineering, Plastic Engineering, Food Technology, Textile Engineering, Nano Technology & science, Power Electronics, Electronics & Communication Engineering, Computational mathematics, Image processing, Civil Engineering, Structural Engineering, Environmental Engineering, VLSI Testing & Low Power VLSI Design etc.
CR-Submanifolds of a Nearly Hyperbolic Cosymplectic Manifold with Semi-Symmet...iosrjce
We consider a nearly hyperbolic cosymplectic manifold and we study some properties of CRsubmanifolds
of a nearly cosymplectic manifold with a semi-symmetric semi-metric connection. We also obtain
some results on 휉−horizontal and 휉 −vertical CR- submanifolds of a nearly cosymplectic manifold with a semisymmetric
semi-metric connection and study parallel distributions on nearly hyperbolic cosymplectic manifold
with a semi-symmetric semi-metric connection.
IOSR Journal of Mathematics(IOSR-JM) is an open access international journal that provides rapid publication (within a month) of articles in all areas of mathemetics and its applications. The journal welcomes publications of high quality papers on theoretical developments and practical applications in mathematics. Original research papers, state-of-the-art reviews, and high quality technical notes are invited for publications.
Numerical solution of heat equation through double interpolationIOSR Journals
In this article an attempt is made to find the solution of one-dimensional Heat equation with initial and boundary conditions using the techniques of numerical methods, and the finite differences. Applying Bender-Schmidt recurrence relation formula we found u(x ,t) values at lattice points. Further using the double interpolation we found the solution of Heat equation as double interpolating polynomial
International Journal of Engineering Research and Applications (IJERA) is an open access online peer reviewed international journal that publishes research and review articles in the fields of Computer Science, Neural Networks, Electrical Engineering, Software Engineering, Information Technology, Mechanical Engineering, Chemical Engineering, Plastic Engineering, Food Technology, Textile Engineering, Nano Technology & science, Power Electronics, Electronics & Communication Engineering, Computational mathematics, Image processing, Civil Engineering, Structural Engineering, Environmental Engineering, VLSI Testing & Low Power VLSI Design etc.
International Journal of Engineering Research and Applications (IJERA) is an open access online peer reviewed international journal that publishes research and review articles in the fields of Computer Science, Neural Networks, Electrical Engineering, Software Engineering, Information Technology, Mechanical Engineering, Chemical Engineering, Plastic Engineering, Food Technology, Textile Engineering, Nano Technology & science, Power Electronics, Electronics & Communication Engineering, Computational mathematics, Image processing, Civil Engineering, Structural Engineering, Environmental Engineering, VLSI Testing & Low Power VLSI Design etc.
International Journal of Engineering Research and Applications (IJERA) is an open access online peer reviewed international journal that publishes research and review articles in the fields of Computer Science, Neural Networks, Electrical Engineering, Software Engineering, Information Technology, Mechanical Engineering, Chemical Engineering, Plastic Engineering, Food Technology, Textile Engineering, Nano Technology & science, Power Electronics, Electronics & Communication Engineering, Computational mathematics, Image processing, Civil Engineering, Structural Engineering, Environmental Engineering, VLSI Testing & Low Power VLSI Design etc.
International Journal of Engineering Research and Applications (IJERA) is an open access online peer reviewed international journal that publishes research and review articles in the fields of Computer Science, Neural Networks, Electrical Engineering, Software Engineering, Information Technology, Mechanical Engineering, Chemical Engineering, Plastic Engineering, Food Technology, Textile Engineering, Nano Technology & science, Power Electronics, Electronics & Communication Engineering, Computational mathematics, Image processing, Civil Engineering, Structural Engineering, Environmental Engineering, VLSI Testing & Low Power VLSI Design etc.
International Journal of Engineering Research and Applications (IJERA) is an open access online peer reviewed international journal that publishes research and review articles in the fields of Computer Science, Neural Networks, Electrical Engineering, Software Engineering, Information Technology, Mechanical Engineering, Chemical Engineering, Plastic Engineering, Food Technology, Textile Engineering, Nano Technology & science, Power Electronics, Electronics & Communication Engineering, Computational mathematics, Image processing, Civil Engineering, Structural Engineering, Environmental Engineering, VLSI Testing & Low Power VLSI Design etc.
International Journal of Engineering Research and Applications (IJERA) is an open access online peer reviewed international journal that publishes research and review articles in the fields of Computer Science, Neural Networks, Electrical Engineering, Software Engineering, Information Technology, Mechanical Engineering, Chemical Engineering, Plastic Engineering, Food Technology, Textile Engineering, Nano Technology & science, Power Electronics, Electronics & Communication Engineering, Computational mathematics, Image processing, Civil Engineering, Structural Engineering, Environmental Engineering, VLSI Testing & Low Power VLSI Design etc.
International Journal of Engineering Research and Applications (IJERA) is an open access online peer reviewed international journal that publishes research and review articles in the fields of Computer Science, Neural Networks, Electrical Engineering, Software Engineering, Information Technology, Mechanical Engineering, Chemical Engineering, Plastic Engineering, Food Technology, Textile Engineering, Nano Technology & science, Power Electronics, Electronics & Communication Engineering, Computational mathematics, Image processing, Civil Engineering, Structural Engineering, Environmental Engineering, VLSI Testing & Low Power VLSI Design etc.
International Journal of Engineering Research and Applications (IJERA) is an open access online peer reviewed international journal that publishes research and review articles in the fields of Computer Science, Neural Networks, Electrical Engineering, Software Engineering, Information Technology, Mechanical Engineering, Chemical Engineering, Plastic Engineering, Food Technology, Textile Engineering, Nano Technology & science, Power Electronics, Electronics & Communication Engineering, Computational mathematics, Image processing, Civil Engineering, Structural Engineering, Environmental Engineering, VLSI Testing & Low Power VLSI Design etc.
International Journal of Engineering Research and Applications (IJERA) is an open access online peer reviewed international journal that publishes research and review articles in the fields of Computer Science, Neural Networks, Electrical Engineering, Software Engineering, Information Technology, Mechanical Engineering, Chemical Engineering, Plastic Engineering, Food Technology, Textile Engineering, Nano Technology & science, Power Electronics, Electronics & Communication Engineering, Computational mathematics, Image processing, Civil Engineering, Structural Engineering, Environmental Engineering, VLSI Testing & Low Power VLSI Design etc.
International Journal of Engineering Research and Applications (IJERA) is an open access online peer reviewed international journal that publishes research and review articles in the fields of Computer Science, Neural Networks, Electrical Engineering, Software Engineering, Information Technology, Mechanical Engineering, Chemical Engineering, Plastic Engineering, Food Technology, Textile Engineering, Nano Technology & science, Power Electronics, Electronics & Communication Engineering, Computational mathematics, Image processing, Civil Engineering, Structural Engineering, Environmental Engineering, VLSI Testing & Low Power VLSI Design etc.
International Journal of Engineering Research and Applications (IJERA) is an open access online peer reviewed international journal that publishes research and review articles in the fields of Computer Science, Neural Networks, Electrical Engineering, Software Engineering, Information Technology, Mechanical Engineering, Chemical Engineering, Plastic Engineering, Food Technology, Textile Engineering, Nano Technology & science, Power Electronics, Electronics & Communication Engineering, Computational mathematics, Image processing, Civil Engineering, Structural Engineering, Environmental Engineering, VLSI Testing & Low Power VLSI Design etc.
International Journal of Engineering Research and Applications (IJERA) is an open access online peer reviewed international journal that publishes research and review articles in the fields of Computer Science, Neural Networks, Electrical Engineering, Software Engineering, Information Technology, Mechanical Engineering, Chemical Engineering, Plastic Engineering, Food Technology, Textile Engineering, Nano Technology & science, Power Electronics, Electronics & Communication Engineering, Computational mathematics, Image processing, Civil Engineering, Structural Engineering, Environmental Engineering, VLSI Testing & Low Power VLSI Design etc.
International Journal of Engineering Research and Applications (IJERA) is an open access online peer reviewed international journal that publishes research and review articles in the fields of Computer Science, Neural Networks, Electrical Engineering, Software Engineering, Information Technology, Mechanical Engineering, Chemical Engineering, Plastic Engineering, Food Technology, Textile Engineering, Nano Technology & science, Power Electronics, Electronics & Communication Engineering, Computational mathematics, Image processing, Civil Engineering, Structural Engineering, Environmental Engineering, VLSI Testing & Low Power VLSI Design etc.
On Semi-Invariant Submanifolds of a Nearly Hyperbolic Kenmotsu Manifold with ...IJERA Editor
We consider a nearly hyperbolic Kenmotsu manifold admitting a semi-symmetric metric connection and study semi-invariant submanifolds of a nearly hyperbolic Kenmotsu manifold with semi-symmetric metric connection. We also find the integrability conditions of some distributions on nearly hyperbolic Kenmotsu manifold andstudy parallel distributions on nearly hyperbolic Kenmotsu manifold.
International Journal of Mathematics and Statistics Invention (IJMSI) is an international journal intended for professionals and researchers in all fields of computer science and electronics. IJMSI publishes research articles and reviews within the whole field Mathematics and Statistics, new teaching methods, assessment, validation and the impact of new technologies and it will continue to provide information on the latest trends and developments in this ever-expanding subject. The publications of papers are selected through double peer reviewed to ensure originality, relevance, and readability. The articles published in our journal can be accessed online.
Second Order Parallel Tensors and Ricci Solitons in S-space forminventionjournals
In this paper, we prove that a symmetric parallel second order covariant tensor in (2m+s)- dimensional S-space form is a constant multiple of the associated metric tensor. Then we apply this result to study Ricci solitons for S-space form and Sasakian space form of dimension 3
On Semi-Generalized Recurrent LP-Sasakian Manifoldsinventionjournals
International Journal of Mathematics and Statistics Invention (IJMSI) is an international journal intended for professionals and researchers in all fields of computer science and electronics. IJMSI publishes research articles and reviews within the whole field Mathematics and Statistics, new teaching methods, assessment, validation and the impact of new technologies and it will continue to provide information on the latest trends and developments in this ever-expanding subject. The publications of papers are selected through double peer reviewed to ensure originality, relevance, and readability. The articles published in our journal can be accessed online.
We inaugurate distinct results associated to almost pseudo symmetric K ̈hler
manifolds gratifying the condition of having a special type of semi-symmetric nonmetric
connection. 010 Mathematics Subject Classification: 53B15, 53C15, 53C21,
53C25, 53C55.
On a Generalized 휷푹 − Birecurrent Affinely Connected Spaceinventionjournals
In the present paper, we introduced a Finsler space whose Cartan's third curvature tensor 푅푗푘 ℎ 푖 satisfies the generalized 훽푅 −birecurrence property which posses the properties of affinely connected space will be characterized by ℬ푚 ℬ푛푅푗푘 ℎ 푖 = 푎푚푛 푅푗푘 ℎ 푖 +푏푚푛 훿푘 푖 푔푗ℎ − 훿ℎ 푖 푔푗푘 , where 푎푚푛 and 푏푚푛 are non-zero covariant tensors field of second order called recurrence tensors field, such space is called as a generalized 훽푅 −birecurrent affinely connected space. Ricci tensors 퐻푗푘 and 푅푗푘 , the curvature vector 퐻푘 and the curvature scalars 퐻 and 푅 of such space are non-vanishing. Some conditions have been pointed out which reduce a generalized 훽푅 −birecurrent affinely connected space 퐹푛 (푛 > 2) into Finsler space of scalar curvature.
Superconductivity and Spin Density Wave (SDW) in NaFe1-xCoxAsEditor IJCATR
A model is presented utilizing a Hamiltonian with equal spin singlet and triplet pairings based on quantum field theory and
green function formalism, to show the correlation between the superconducting and spin density wave (SDW) order parameters. The
model exhibits a distinct possibility of the coexistence of superconductivity and long-range magnetic phase, which are two usually
incompatible cooperative phenomena. The work is motivated by the recent experimental evidences on high-TC superconductivity in
the FeAs-based superconductors. The theoretical results are then applied to show the coexistence of superconductivity and spin density
wave (SDW) in NaFe1-xCoxAs.
In this paper, by using the basic method of differential geometry, combined with the optimization
theory and the basic technique of data analysis, the definition, basic properties and statistical characteristics of
nonlinear correlation coefficients on manifolds are studied and given, test the rationality and validity of the
nonlinear correlation coefficient defined in this paper. Therefore, the study of this paper has certain theoretical
value and potential practical significance.
International Journal of Mathematics and Statistics Invention (IJMSI) is an international journal intended for professionals and researchers in all fields of computer science and electronics. IJMSI publishes research articles and reviews within the whole field Mathematics and Statistics, new teaching methods, assessment, validation and the impact of new technologies and it will continue to provide information on the latest trends and developments in this ever-expanding subject. The publications of papers are selected through double peer reviewed to ensure originality, relevance, and readability. The articles published in our journal can be accessed online.
Fixed point theorem between cone metric space and quasi-cone metric spacenooriasukmaningtyas
This study involves new notions of continuity of mapping between quasi-cone metrics spaces (QCMSs), cone metric spaces (CMSs), and vice versa. The relation between all notions of continuity were thoroughly studied and supported with the help of examples. In addition, these new continuities were compared with various types of continuities of mapping between two QCMSs. The continuity types are 𝒇𝒇-continuous, 𝒃𝒃-continuous, 𝒇𝒃-continuous, and 𝒃𝒇-continuous. The results demonstrated that the new notions of continuity could be generalized to the continuity of mapping between two QCMSs. It also showed a fixed point for this continuity map between a complete Hausdorff CMS and QCMS. Overall, this study supports recent research results.
Within the framework of the general theory of relativity (GR) the modeling of the central symmetrical
gravitational field is considered. The mapping of the geodesic motion of the Lemetr and Tolman basis on
their motion in the Minkowski space on the world lines is determined. The expression for the field intensity
and energy where these bases move is obtained. The advantage coordinate system is found, the coordinates
and the time of the system coincide with the Galilean coordinates and the time in the Minkowski space.
In the rapidly evolving landscape of technologies, XML continues to play a vital role in structuring, storing, and transporting data across diverse systems. The recent advancements in artificial intelligence (AI) present new methodologies for enhancing XML development workflows, introducing efficiency, automation, and intelligent capabilities. This presentation will outline the scope and perspective of utilizing AI in XML development. The potential benefits and the possible pitfalls will be highlighted, providing a balanced view of the subject.
We will explore the capabilities of AI in understanding XML markup languages and autonomously creating structured XML content. Additionally, we will examine the capacity of AI to enrich plain text with appropriate XML markup. Practical examples and methodological guidelines will be provided to elucidate how AI can be effectively prompted to interpret and generate accurate XML markup.
Further emphasis will be placed on the role of AI in developing XSLT, or schemas such as XSD and Schematron. We will address the techniques and strategies adopted to create prompts for generating code, explaining code, or refactoring the code, and the results achieved.
The discussion will extend to how AI can be used to transform XML content. In particular, the focus will be on the use of AI XPath extension functions in XSLT, Schematron, Schematron Quick Fixes, or for XML content refactoring.
The presentation aims to deliver a comprehensive overview of AI usage in XML development, providing attendees with the necessary knowledge to make informed decisions. Whether you’re at the early stages of adopting AI or considering integrating it in advanced XML development, this presentation will cover all levels of expertise.
By highlighting the potential advantages and challenges of integrating AI with XML development tools and languages, the presentation seeks to inspire thoughtful conversation around the future of XML development. We’ll not only delve into the technical aspects of AI-powered XML development but also discuss practical implications and possible future directions.
Threats to mobile devices are more prevalent and increasing in scope and complexity. Users of mobile devices desire to take full advantage of the features
available on those devices, but many of the features provide convenience and capability but sacrifice security. This best practices guide outlines steps the users can take to better protect personal devices and information.
In his public lecture, Christian Timmerer provides insights into the fascinating history of video streaming, starting from its humble beginnings before YouTube to the groundbreaking technologies that now dominate platforms like Netflix and ORF ON. Timmerer also presents provocative contributions of his own that have significantly influenced the industry. He concludes by looking at future challenges and invites the audience to join in a discussion.
Why You Should Replace Windows 11 with Nitrux Linux 3.5.0 for enhanced perfor...SOFTTECHHUB
The choice of an operating system plays a pivotal role in shaping our computing experience. For decades, Microsoft's Windows has dominated the market, offering a familiar and widely adopted platform for personal and professional use. However, as technological advancements continue to push the boundaries of innovation, alternative operating systems have emerged, challenging the status quo and offering users a fresh perspective on computing.
One such alternative that has garnered significant attention and acclaim is Nitrux Linux 3.5.0, a sleek, powerful, and user-friendly Linux distribution that promises to redefine the way we interact with our devices. With its focus on performance, security, and customization, Nitrux Linux presents a compelling case for those seeking to break free from the constraints of proprietary software and embrace the freedom and flexibility of open-source computing.
Epistemic Interaction - tuning interfaces to provide information for AI supportAlan Dix
Paper presented at SYNERGY workshop at AVI 2024, Genoa, Italy. 3rd June 2024
https://alandix.com/academic/papers/synergy2024-epistemic/
As machine learning integrates deeper into human-computer interactions, the concept of epistemic interaction emerges, aiming to refine these interactions to enhance system adaptability. This approach encourages minor, intentional adjustments in user behaviour to enrich the data available for system learning. This paper introduces epistemic interaction within the context of human-system communication, illustrating how deliberate interaction design can improve system understanding and adaptation. Through concrete examples, we demonstrate the potential of epistemic interaction to significantly advance human-computer interaction by leveraging intuitive human communication strategies to inform system design and functionality, offering a novel pathway for enriching user-system engagements.
UiPath Test Automation using UiPath Test Suite series, part 6DianaGray10
Welcome to UiPath Test Automation using UiPath Test Suite series part 6. In this session, we will cover Test Automation with generative AI and Open AI.
UiPath Test Automation with generative AI and Open AI webinar offers an in-depth exploration of leveraging cutting-edge technologies for test automation within the UiPath platform. Attendees will delve into the integration of generative AI, a test automation solution, with Open AI advanced natural language processing capabilities.
Throughout the session, participants will discover how this synergy empowers testers to automate repetitive tasks, enhance testing accuracy, and expedite the software testing life cycle. Topics covered include the seamless integration process, practical use cases, and the benefits of harnessing AI-driven automation for UiPath testing initiatives. By attending this webinar, testers, and automation professionals can gain valuable insights into harnessing the power of AI to optimize their test automation workflows within the UiPath ecosystem, ultimately driving efficiency and quality in software development processes.
What will you get from this session?
1. Insights into integrating generative AI.
2. Understanding how this integration enhances test automation within the UiPath platform
3. Practical demonstrations
4. Exploration of real-world use cases illustrating the benefits of AI-driven test automation for UiPath
Topics covered:
What is generative AI
Test Automation with generative AI and Open AI.
UiPath integration with generative AI
Speaker:
Deepak Rai, Automation Practice Lead, Boundaryless Group and UiPath MVP
Observability Concepts EVERY Developer Should Know -- DeveloperWeek Europe.pdfPaige Cruz
Monitoring and observability aren’t traditionally found in software curriculums and many of us cobble this knowledge together from whatever vendor or ecosystem we were first introduced to and whatever is a part of your current company’s observability stack.
While the dev and ops silo continues to crumble….many organizations still relegate monitoring & observability as the purview of ops, infra and SRE teams. This is a mistake - achieving a highly observable system requires collaboration up and down the stack.
I, a former op, would like to extend an invitation to all application developers to join the observability party will share these foundational concepts to build on:
Climate Impact of Software Testing at Nordic Testing DaysKari Kakkonen
My slides at Nordic Testing Days 6.6.2024
Climate impact / sustainability of software testing discussed on the talk. ICT and testing must carry their part of global responsibility to help with the climat warming. We can minimize the carbon footprint but we can also have a carbon handprint, a positive impact on the climate. Quality characteristics can be added with sustainability, and then measured continuously. Test environments can be used less, and in smaller scale and on demand. Test techniques can be used in optimizing or minimizing number of tests. Test automation can be used to speed up testing.
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Welcome to UiPath Test Automation using UiPath Test Suite series part 5. In this session, we will cover CI/CD with devops.
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CI/CD with in UiPath
End-to-end overview of CI/CD pipeline with Azure devops
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LF Energy Webinar: Electrical Grid Modelling and Simulation Through PowSyBl -...DanBrown980551
Do you want to learn how to model and simulate an electrical network from scratch in under an hour?
Then welcome to this PowSyBl workshop, hosted by Rte, the French Transmission System Operator (TSO)!
During the webinar, you will discover the PowSyBl ecosystem as well as handle and study an electrical network through an interactive Python notebook.
PowSyBl is an open source project hosted by LF Energy, which offers a comprehensive set of features for electrical grid modelling and simulation. Among other advanced features, PowSyBl provides:
- A fully editable and extendable library for grid component modelling;
- Visualization tools to display your network;
- Grid simulation tools, such as power flows, security analyses (with or without remedial actions) and sensitivity analyses;
The framework is mostly written in Java, with a Python binding so that Python developers can access PowSyBl functionalities as well.
What you will learn during the webinar:
- For beginners: discover PowSyBl's functionalities through a quick general presentation and the notebook, without needing any expert coding skills;
- For advanced developers: master the skills to efficiently apply PowSyBl functionalities to your real-world scenarios.
GraphSummit Singapore | The Art of the Possible with Graph - Q2 2024Neo4j
Neha Bajwa, Vice President of Product Marketing, Neo4j
Join us as we explore breakthrough innovations enabled by interconnected data and AI. Discover firsthand how organizations use relationships in data to uncover contextual insights and solve our most pressing challenges – from optimizing supply chains, detecting fraud, and improving customer experiences to accelerating drug discoveries.
Enchancing adoption of Open Source Libraries. A case study on Albumentations.AIVladimir Iglovikov, Ph.D.
Presented by Vladimir Iglovikov:
- https://www.linkedin.com/in/iglovikov/
- https://x.com/viglovikov
- https://www.instagram.com/ternaus/
This presentation delves into the journey of Albumentations.ai, a highly successful open-source library for data augmentation.
Created out of a necessity for superior performance in Kaggle competitions, Albumentations has grown to become a widely used tool among data scientists and machine learning practitioners.
This case study covers various aspects, including:
People: The contributors and community that have supported Albumentations.
Metrics: The success indicators such as downloads, daily active users, GitHub stars, and financial contributions.
Challenges: The hurdles in monetizing open-source projects and measuring user engagement.
Development Practices: Best practices for creating, maintaining, and scaling open-source libraries, including code hygiene, CI/CD, and fast iteration.
Community Building: Strategies for making adoption easy, iterating quickly, and fostering a vibrant, engaged community.
Marketing: Both online and offline marketing tactics, focusing on real, impactful interactions and collaborations.
Mental Health: Maintaining balance and not feeling pressured by user demands.
Key insights include the importance of automation, making the adoption process seamless, and leveraging offline interactions for marketing. The presentation also emphasizes the need for continuous small improvements and building a friendly, inclusive community that contributes to the project's growth.
Vladimir Iglovikov brings his extensive experience as a Kaggle Grandmaster, ex-Staff ML Engineer at Lyft, sharing valuable lessons and practical advice for anyone looking to enhance the adoption of their open-source projects.
Explore more about Albumentations and join the community at:
GitHub: https://github.com/albumentations-team/albumentations
Website: https://albumentations.ai/
LinkedIn: https://www.linkedin.com/company/100504475
Twitter: https://x.com/albumentations
Generative AI Deep Dive: Advancing from Proof of Concept to ProductionAggregage
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Today, after several years of existence, an extremely active community and an ultra-dynamic ecosystem, Kubernetes has established itself as the de facto standard in container orchestration. Thanks to a wide range of managed services, it has never been so easy to set up a ready-to-use Kubernetes cluster.
However, this ease of use means that the subject of security in Kubernetes is often left for later, or even neglected. This exposes companies to significant risks.
In this talk, I'll show you step-by-step how to secure your Kubernetes cluster for greater peace of mind and reliability.
zkStudyClub - Reef: Fast Succinct Non-Interactive Zero-Knowledge Regex ProofsAlex Pruden
This paper presents Reef, a system for generating publicly verifiable succinct non-interactive zero-knowledge proofs that a committed document matches or does not match a regular expression. We describe applications such as proving the strength of passwords, the provenance of email despite redactions, the validity of oblivious DNS queries, and the existence of mutations in DNA. Reef supports the Perl Compatible Regular Expression syntax, including wildcards, alternation, ranges, capture groups, Kleene star, negations, and lookarounds. Reef introduces a new type of automata, Skipping Alternating Finite Automata (SAFA), that skips irrelevant parts of a document when producing proofs without undermining soundness, and instantiates SAFA with a lookup argument. Our experimental evaluation confirms that Reef can generate proofs for documents with 32M characters; the proofs are small and cheap to verify (under a second).
Paper: https://eprint.iacr.org/2023/1886
zkStudyClub - Reef: Fast Succinct Non-Interactive Zero-Knowledge Regex Proofs
Hx3513811385
1. Mobin Ahmad et al Int. Journal of Engineering Research and Application
ISSN : 2248-9622, Vol. 3, Issue 5, Sep-Oct 2013, pp.1381-1385
RESEARCH ARTICLE
www.ijera.com
OPEN ACCESS
CR- Submanifolds of Nearly Hyperbolic Sasakian Manifold
Endowed With A Quarter Symmetric Non-Metric Connection
Mobin Ahmad* and Kashif Ali**
Department of Mathematics, Integral University, Kursi Road, Lucknow-226026, India.
Abstract
We consider a nearly hyperbolic Sasakian manifold endowed with a quarter symmetric non-metric connection
and study CR- submanifolds of nearly hyperbolic Sasakian manifold endowed with a quarter symmetric nonmetric connection. We also obtain parallel distributions and discuss inerrability conditions of distributions on
CR-submanifolds of nearly hyperbolic Sasakian manifold with quarter symmetric non-metric connection.
Keywords and phrases: CR-submanifolds, nearly hyperbolic Sasakian manifold, quarter symmetric nonmetric connection, integrability conditions, parallel distribution.
Mathematics Subject Classification: 53D05, 53D25, 53D12.
I.
Introduction
CR-submanifolds of a Kaehler manifold as
generalization of invariant and anti-invariant
submanifolds was introduced and studied by A.
Bejancu in ([1], [2]). Since then, several papers on
Kaehler manifolds were published. CR-submanifolds
of Sasakian manifold was studied by C.J. Hsu in [3]
and M. Kobayashi in [4]. Later, several geometers
(see, [5], [6], [7], [8], [9], [10], [11], [12], [13])
enriched the study of CR-submanifolds of almost
contact manifolds. The almost hyperbolic (
)structure was defined and studied by Upadhyay and
Dube in [14]. Dube and Bhatt studied CRsubmanifolds of trans-hyperbolic Sasakian manifold
in [15]. On the other hand, S. Golab introduced the
idea of semi-symmetric and quarter symmetric
connections in [16]. CR-submanifolds of LP-Sasakian
manifold with quarter symmetric non-metric
connection were studied by the first author and S.K.
Lovejoy Das in [17]. CR-submanifolds of a nearly
hyperbolic Sasakian manifold admitting a semisymmetric semi-metric connection were studied by the
first author, M.D. Siddiqi and S. Rizvi in [18]. In this
paper, we study some properties of CR-submanifolds
of a nearly hyperbolic Sasakian manifold with a
quarter symmetric non-metric connection.
II.
Preliminaries
Let
be an -dimensional almost contact
metric manifold with the almost contact metric
structure
where a tensor of type
,a
vector field called structure vector field and the
dual 1-form of satisfying the followings:
(2.1)
(2.2)
(2.3)
for any
tangent to [19]. In this case
(2.4)
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An almost hyperbolic contact metric structureis called hyperbolic Sasakian [19] if
and only if
(2.5)
(2.6)
for all vectors
tangent to
and a Riemannian
metric and Riemannian connection .
Further, an almost hyperbolic contact metric manifold
on
is called nearly hyperbolic Sasakian
[19] if
(2.7)
Now, let
be a submanifold immersed in
The
Riemannian metric induced on
is denoted by the
same symbol . Let
and
be the Lie algebras
of vector fields tangential to
and normal to
respectively and
be induced Levi-Civita connection
[20] on , then the Gauss and Weingarten formulas
are given respectively by
(2.8)
(2.9)
for any
where
is the
connection on the normal bundle
is the second fundamental form and
is the
Weingarten map associated with as
(2.10)
For any
we write
(2.11)
where
Similarly for normal to
we have
(2.12)
where
is the tangential component
(resp., normal component) of
Owing due presence of 1-form
we define a quarter
symmetric non-metric connection [16] by
(2.13)
–
for any
is the induced connection on .
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2. Mobin Ahmad et al Int. Journal of Engineering Research and Application
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Using (2.13) and (2.7), we get
(2.14)
Adding above two equations, we have
An almost hyperbolic contact manifold is called nearly
hyperbolic Sasakian [19] manifold with quarter
symmetric non-metric connection if it satisfies (2.14).
Also, from (2.6) and (2.13), we get
(2.15)
Gauss and Weingarten formula for quarter symmetric
non-metric connection are given respectively by
Using (2.14) in above equation, we get
(3.4)
(2.17)
Definition 2.1. An
-dimensional Riemannian
submanifold
of a nearly hyperbolic Sasakian
manifold
is called a CR-submanifold [20] of
if
there exists a differentiable distribution
on
M satisfying the following conditions:
i.
D is invariant, that is
for each
ii.
The complementary orthogonal distribution
of D is anti-invariant, that is
If
then the CR-submanifold is called an
invariant (resp., anti-invariant) submanifold.
The distribution
is called the
horizontal (resp., vertical) distribution. Also, the
pair
is
called
Equations (3.1)-(3.3) follow by the comparison of the
tangential, vertical and normal components of (3.4).
Hence
the
lemma
is
proved.
⧠
Lemma 3.2. Let
be a CR-submanifold of a nearly
hyperbolic Sasakian manifold
with quarter
symmetric non-metric connection. Then
(3.5)
–
–
–
–
–
(3.6)
–
–
–
–
Proof. From Gauss formula (2.16), we get
(3.7)
III.
Some Basic Lemmas
Lemma 3.1. Let
be a CR-submanifold of a nearly
hyperbolic Sasakian manifold
with quarter
symmetric non-metric connection. Then
(3.1)
–
–
(3.2)
Also, we have
(3.8)
From (3.7) and (3.8), we get
(3.9)
–
(3.3)
Proof. From (2.11), we have
Differentiating covariant and using (2.16) and (2.17),
we get
–
–
Subtracting (3.9) from (2.14), we get
–
–
Adding (2.14) and (3.9), We have
–
–
Hence
the
lemma
is
proved.
⧠
Corollary 3.3. If be a
CR-submanifold
of a nearly hyperbolic Sasakian manifold
with
quarter symmetric non-metric connection. Then
Also,
–
and
Thus, we have
Interchanging
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we get
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3. Mobin Ahmad et al Int. Journal of Engineering Research and Application
ISSN : 2248-9622, Vol. 3, Issue 5, Sep-Oct 2013, pp.1381-1385
Lemma 3.4. Let
be a CR-submanifold of a nearly
hyperbolic Sasakian manifold
with quarter
symmetric non-metric connection, then
(3.10)
–
–
–
–
–
Proof. Let
(2.17), we have
(3.12)
(3.18)
Also, we have
(3.19)
From (3.18) and (3.19), we find
(3.20)
–
(3.11)
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, then from Weingarten formula
Also, we have
(3.13)
Also from nearly hyperbolic Sasakian manifold, we
have
(3.21)
–
–
Adding (3.20) and (3.21), we get
–
–
Subtracting (3.20) from (3.21), we have
From (3.12) and (3.13), we get
(3.14)
–
–
Also for nearly hyperbolic Sasakian manifold, we have
(3.15)
Hence
⧠
–
the
lemma
is
proved.
Corollary 3.7. If
be a
CRsubmanifold of a nearly hyperbolic Sasakian manifold
with quarter symmetric non-metric connection.
Then
Adding (3.14) and (3.15), we obtain
Subtracting (3.14) from (3.15), we get
and
Hence
⧠
the
lemma
is
proved.
Corollary 3.5. If be a
CR-submanifold
of a nearly hyperbolic Sasakian manifold
with
quarter symmetric non-metric connection. Then
Corollary 3.8. If be a
CR-submanifold
of a nearly hyperbolic Sasakian manifold
with
quarter symmetric non-metric connection. Then
–
and
–
and
IV.
Lemma 3.6. Let
be a CR-submanifold of a nearly
hyperbolic Sasakian manifold
with quarter
symmetric non-metric connection, then
(3.16)
–
–
(3.17)
–
–
Proof. Let
then from Gauss and
Weingarten formula, we have
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Parallel Distribution
Definition 4.1. The horizontal (resp., vertical)
distribution
is said to be parallel [19]
with respect to the connection on
for any vector field
Theorem 4.2. Let
be a CR-submanifold of a nearly
hyperbolic Sasakian manifold
with quarter
symmetric non-metric connection. If the horizontal
distribution D is parallel, then
(4.1)
Proof. Using parallelism of horizontal distribution
we have
1383 | P a g e
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4. Mobin Ahmad et al Int. Journal of Engineering Research and Application
ISSN : 2248-9622, Vol. 3, Issue 5, Sep-Oct 2013, pp.1381-1385
(4.2)
From (3.2), we have
(4.3)
Using (2.20) in (4.3), we get
(4.4)
Using (4.3) and (4.4), we obtain
(4.5)
Now, from (3.3), we have
(4.6)
Using (4.5) and (4.6), we have
(4.7)
Definition 4.5. A Normal vector field
normal section if
Replacing
(4.8)
in (4.7), we get
Replacing
(4.9)
in (4.7), we get
From (4.8) and (4.9), we obtain
.
Hence
the
lemma
is
proved.
⧠
Theorem 4.3. Let
be a
CRsubmanifold of a nearly hyperbolic Sasakian manifold
with quarter symmetric non-metric connection, if
the distribution
is parallel with respect to the
connection on M, then
(4.10)
.
Proof: Let Y
Using Gauss and Weingarten
formula (2.16) and (2.17), we get
(4.11)
Interchanging
(4.12)
REFERENCES
[1]
[2]
[4]
Adding above two equations, we get
(4.13)
[5]
Using (2.13), we have
(4.14)
[6]
If
in (4.14), we find
is parallel then
so that
[7]
Consequently, we have
[8]
Hence
⧠
the
lemma
is
proved.
Definition 4.4. A CR-submanifold is said to be mixedtotally geodesic if
for all
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is called
for all
Theorem 4.6. Let
be a mixed totally geodesic
CR-submanifold of a nearly hyperbolic
Sasakian manifold
with quarter symmetric nonmetric connection. Then the normal section
is
l if and only if
Proof. Let
Then from
(3.2), we have
(4.16)
For mixed geodesic, we have
Thus,
equation (4.16) takes the form
(4.17)
Using (4.17) in (3.3), we get
(4.18)
Thus, if the normal section
is D-parallel, then
using (4.18) and definition 4.5, we get
(4.19)
which implies that
.
The converse part easily follows from (4.18).
Hence
the
theorem
is
proved.
⧠
[3]
we have
Taking inner product with
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