scholarly journals Basic Operations on Vedic Mathematics: A Study on Special Parts

2020 ◽  
Vol 1 ◽  
pp. 71-76
Author(s):  
Krishna Kanta Parajuli
Keyword(s):  
Specific Pattern ◽  
General Technique ◽  
New Approach ◽  
Vedic Mathematics ◽  
Mathematical System ◽  
Simple Rules ◽  
Rules And Principles ◽  
Mathematical Problems ◽  
Special Pattern ◽  
Mathematical Operations

Vedic Mathematics was rediscovered and reconstructed by Sri Bharati Krishna Tirthaji from ancient Sanskrit texts Veda early last century between 1911 – 1918 is popularly known today is Vedic Mathematics. It is an extremely refined, independent and efficient mathematical system based on his 16 formulae and some sub-formulae with simple rules and principles. The main purpose of this paper is to communicate a new approach to Mathematics, offering simple, direct, one-line, mental solutions to mathematical problems. In the way of basic mathematical operations like addition, subtraction, multiplication and division can be done in simple ways, and results are obtained quickly and can be checked in a minute by using the Vedic techniques. In this system, for any problem, there is always one general technique and also some special pattern problems. This paper especially concentrates only on the specific pattern of elementary operation of Vedic Mathematics.

Enhancing Compliance under the General Data Protection Regulation: The Risky Upshot of the Accountability- and Risk-based Approach

2018 ◽  
Vol 9 (3) ◽  
pp. 502-526 ◽  
Author(s):  
Claudia QUELLE
Keyword(s):  
Data Protection ◽  
Fundamental Rights ◽  
New Approach ◽  
General Data Protection Regulation ◽  
Legal Norms ◽  
Improve Compliance ◽  
Rules And Principles ◽  
General Data ◽  
Data Protection Law ◽  
Fundamental Rights And Freedoms

The risk-based approach has been introduced to the General Data Protection Regulation (GDPR) to make the rules and principles of data protection law “work better”. Organisations are required to calibrate the legal norms in the GDPR with an eye to the risks posed to the rights and freedoms of individuals. This article is devoted to an analysis of the way in which this new approach relates to “tick-box” compliance. How can the law enhance itself? If handled properly by controllers and supervisory authorities, the risk-based approach can bring about a valuable shift in data protection towards substantive protection of fundamental rights and freedoms. While the risk-based approach has a lot of potential, it also has a risk of its own: it relies on controllers to improve compliance, formulating what it means to attain compliance 2.0.

A New Approach to Thin Aerofoil Theory

1951 ◽  
Vol 3 (3) ◽  
pp. 193-210 ◽  
Author(s):  
M.J. Lighthill
Keyword(s):  
Three Dimensional ◽  
Leading Edge ◽  
Approximate Solutions ◽  
Radius Of Curvature ◽  
Two Dimensional ◽  
General Technique ◽  
New Approach ◽  
Flow Problems ◽  
Physical Problems ◽  
First Approximation

SummaryThe general technique for rendering approximate solutions to physical problems uniformly valid is here applied to the simplest form of the problem of correcting the theory of thin wings near a rounded leading edge. The flow investigated is two-dimensional, irrotational and incompressible, and therefore the results do not materially add to our already extensive knowledge of this subject, but the method, which is here satisfactorily checked against this knowledge, shows promise of extension to three-dimensional, and compressible, flow problems.The conclusion, in the problem studied here, is that the velocity field obtained by a straightforward expansion in powers of the disturbances, up to and including either the first or the second power, with coefficients functions of co-ordinates such that the leading edge is at the origin and the aerofoil chord is one of the axes, may be rendered a valid first approximation near the leading edge, as well as a valid first or second approximation away from it, if the whole field is shifted downstream parallel to the chord for a distance of half the leading edge radius of curvature ρL. It follows that the fluid speed on the aerofoil surface, as given on such a straightforward second approximation as a function of distance x along the chord, similarly is rendered uniformly valid (see equation (52)) if the part singular like x-1 is subtracted and the remainder is multiplied by .

Experiences from declarative markup to improve the accessibility of HTML

2020 ◽  
Author(s):  
Vincenzo Rubano ◽  
Fabio Vitali
Keyword(s):  
Best Practices ◽  
Web Pages ◽  
Complex Task ◽  
Rare Occurrence ◽  
Web Content ◽  
New Approach ◽  
Web Resources ◽  
Rules And Principles ◽  
Accessibility Issues ◽  
Automated Tools

Producing accessible content for the Web is a rather complex task. Standards, rules and principles that offer largely useful recommendations for accessible content do indeed exist, but they are not adequately enforced and supported by actual implementations. It is fairly frequent for content authors to produce material that ends up not being accessible without even noticing it, even when using additional tools and services. Yet, most of the existing recommendations for accessible web resources center around the addition of reasonably simple markup with a clear declarative purpose in their design. How therefore is it possible that producing truly accessible content is such a rare occurrence? In this paper, we posit that an important justification of this, in addition to well-known lack of interest and lack of awareness, is the difficulty of evaluating and perceiving the correctness or wrongness of the generated assistive markup by non-disabled content authors and tool designers. Designers have serious difficulties when evaluating the effectiveness and correctness of the accessibility of their works, and existing tools do little or nothing to reduce the "handicap". Under these assumptions, we aim to describe an innovative approach based on declarative markup to improve the design and evaluation the accessibility of web pages. In particular, our strategy encompasses the combined usage of a declarative framework of accessible web components, capable of enforcing best-practices and conformance to accessibility standards, as well as automated tools to test for the accessibility of web content and, in addition, a new approach to manual tools to let developers and content creators examine visually the accessibility issues so that they can make sense of their impact on people with disabilities.

scholarly journals Square Roots in Vedic Mathematics

2019 ◽  
Vol 4 (4) ◽  
pp. 64-71
Author(s):  
Krishna Kanta Parajuli
Keyword(s):  
General Practice ◽  
Conventional Approach ◽  
Square Root ◽  
Conventional System ◽  
Square Roots ◽  
Vedic Mathematics ◽  
Mathematical System

This paper specially concentrates on finding the square roots of perfect as well as imperfect square numbers by the Vedic sutra Vilokanam. Generally, extracting the square root of a number is considered a tedious job. There are two methods taught in our present-day classroom by conventional approach to find square roots, which are lengthy and time consuming. But, the Vedic Sutra Vilokanam helps us to find square root of such numbers with a little practice. The technique mentioned for extracting square root for imperfect square numbers does not belong solely to Vedic Mathematics written by Swami Bharati Krishna Tirthaji Maharaja. Mathematicians have been using it as a part of their general practice. However, the technique for calculating square roots and described in Vedic Mathematics is difficult. The methods discussed and organization of the content of the paper here are intended to show the Vedic Mathematics as an extremely refined and efficient mathematical system than conventional system.

scholarly journals Suwerenność państw w procesie integracji europejskiej

2018 ◽  
pp. 7-20 ◽  
Author(s):  
Włodzimierz MALENDOWSKI
Keyword(s):  
European Union ◽  
International Organizations ◽  
Union Member ◽  
The European Union ◽  
New Approach ◽  
International Environment ◽  
Starting Point ◽  
The Status ◽  
Rules And Principles ◽  
European Union Member States

The paper concerns an attempt to determine the status of European Union member states. It takes as its starting point the statement that the EU’s organizational structure provides for more than a confederation of states but less than a federation. At the present stage of the EU’s development a unique organization has been established that has not predecessor in the standards of international organizations. This is accompanied with a new approach to the interpretation of the nature of sovereignty of integrating European states, which is connected with intensifying processes of decomposition and the loosening of sovereign control by states over their territories and populations. States achieve their sovereign interests within the framework of international structures. They can also voluntarily restrict their sovereign rights on the basis of the commonly accepted rules and principles of international organizations. In this way they assign a comparative degree of state authorities’ competencies to these organizations. As a consequence, numerous issues that were formerly regulated by states are increasingly more often solved by means of corporate operations. This naturally leads to the states’ opening to the international environment without any threat to their sovereignty. The process of integration in Europe has not resulted in sovereignty of the European Union itself. Sovereignty remains an attribute of states. European states maintain their ability to

scholarly journals General methods of forecasting nonlinear nonstationary processes based on mathematical models using statistical data

2021 ◽  
pp. 79-86
Author(s):  
Oleg Belas ◽  
Andrii Belas
Keyword(s):  
Neural Networks ◽  
Time Series ◽  
Mathematical Models ◽  
Recurrent Neural Networks ◽  
Statistical Data ◽  
Economic Systems ◽  
Nonstationary Processes ◽  
General Technique ◽  
New Approach ◽  
Advantages And Disadvantages

The article considers the problem of forecasting nonlinear nonstationary processes, presented in the form of time series, which can describe the dynamics of processes in both technical and economic systems. The general technique of analysis of such data and construction of corresponding mathematical models based on autoregressive models and recurrent neural networks is described in detail. The technique is applied on practical examples while performing the comparative analysis of models of forecasting of quantity of channels of service of cellular subscribers for a given station and revealing advantages and disadvantages of each method. The need to improve the existing methodology and develop a new approach is formulated.

scholarly journals Egyptian Mathematics Disclosure

2021 ◽  
pp. 120-136
Author(s):  
Olivier Denis
Keyword(s):  
Complete Solution ◽  
Mathematical Problem ◽  
New Approach ◽  
The Core ◽  
Ancient Egyptian ◽  
True Value ◽  
Scientific Approach ◽  
Mathematical Problems ◽  
Opening Up ◽  
Mathematics And Science

Some fundamental mathematical researches have been carried out about mathematical certainties based on ancient Egyptian mathematical sources and their problems following ancient Egyptian Wisdom set of knowledge building the new scientific paradigm following the rediscovery of the true value of PI and following the new approach of Global Dimensional Mathematics [1]. Some fundamental mathematical researches on the foundations of Egyptian mathematics covering the mathematical problem of The Akhmin wooden tablets [2], the tenth and the fourteenth problem of The Moscow Mathematical Papyrus [3] as well as the forty-first and fiftieth problem from The Rhind Mathematical Papyrus [3] have been carried out, without forgotten, the resolution of the fundamental question of the quadrature of the circle which is now effective. In the disclosure of Egyptian mathematics, the new approach to fundamental mathematical notions is established, adding the cornerstone to building the core of the new approach to Egyptian mathematics, mathematics and science in general. The Egyptian mathematics disclosure solves, following the Egyptian approach to mathematics and following ancient Egyptian Wisdom set of knowledge, unsolved ancient Egyptian mathematical problems, such as finding the complete solution and decoding the glyph of the eye of Horus, as well as the problem of the truncated pyramid which has found a solution like the half basket problem found one. The question of the quadrature of the circle shatters the mathematical conceptions with all the consequences that we can only begin to understand. The Egyptian mathematics disclosure forms the basis for building the new scientific approach based on ancestral Egyptian mathematical problems, the true rediscovered value of PI and the new original Global Dimensional Mathematics opening up a still unknown perspective on the world of science in general.

scholarly journals Design and implementation of a stability control system for TCP/AQM network

2021 ◽  
Vol 22 (1) ◽  
pp. 129
Author(s):  
Salam Waley Shneen ◽  
Mohammed Qasim Sulttan ◽  
Manal Kadhim Oudah
Keyword(s):  
Optimization Technique ◽  
Control Unit ◽  
Pso Algorithm ◽  
Congestion Management ◽  
Ip Networks ◽  
Stability Control ◽  
Pi Controller ◽  
New Approach ◽  
Mathematical System ◽  
Stability Control System

<p><span>In this work, we used a new approach as active queue management (AQM) to avoid data congestion in TCP/IP networks. The new approach is PSO-PI controller which use the proportional-integral controller as a control unit and particle swarm optimization (PSO) algorithm as an optimization technique to improve the performance of the PI controller and therefore improving the performance of TCP/IP networks as a required goal. The optimization control (PSO-PI) is characterized by access to design and choosing the optimal parameters of </span>(K_1 and K_p) <span>to reach optimal solutions in a short way (fewer iterations). The implementation of the PSO algorithm is achieving by using the mathematical system model and M-file and SIMULINK in Mathlab program. Simulation results show good congestion management performance with PSO-PI controller better than the PI controller as AQM in TCP networks, and the proposed method was very fast and required few iterations.</span></p>

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