Fractal Geometry and Computer Science

2011 ◽  
pp. 308-328 ◽  
Author(s):  
Nicoletta Sala
Keyword(s):  
Virtual Reality ◽  
Computer Science ◽  
20Th Century ◽  
Computer Networks ◽  
Fractal Geometry ◽  
Euclidean Geometry ◽  
Iterative Algorithms ◽  
The Internet ◽  
Self Similarity ◽  
Complex Patterns

Fractal geometry can help us to describe the shapes in nature (e.g., ferns, trees, seashells, rivers, mountains) exceeding the limits imposed by Euclidean geometry. Fractal geometry is quite young: The first studies are the works by the French mathematicians Pierre Fatou (1878-1929) and Gaston Julia (1893-1978) at the beginning of the 20th century. However, only with the mathematical power of computers has it become possible to realize connections between fractal geometry and other disciplines. It is applied in various fields now, from biology to economy. Important applications also appear in computer science because fractal geometry permits us to compress images, and to reproduce, in virtual reality environments, the complex patterns and irregular forms present in nature using simple iterative algorithms executed by computers. Recent studies apply this geometry to controlling traffic in computer networks (LANs, MANs, WANs, and the Internet). The aim of this chapter is to present fractal geometry, its properties (e.g., self-similarity), and their applications in computer science.

Fractal Geometry and Computer Science

2011 ◽  
pp. 385-404 ◽  
Author(s):  
Nicoletta Sala
Keyword(s):  
Virtual Reality ◽  
Computer Science ◽  
20Th Century ◽  
Computer Networks ◽  
Fractal Geometry ◽  
Euclidean Geometry ◽  
Iterative Algorithms ◽  
The Internet ◽  
Self Similarity ◽  
Complex Patterns

Fractal geometry can help us to describe the shapes in nature (e.g., ferns, trees, seashells, rivers, mountains) exceeding the limits imposed by Euclidean geometry. Fractal geometry is quite young: The first studies are the works by the French mathematicians Pierre Fatou (1878-1929) and Gaston Julia (1893-1978) at the beginning of the 20th century. However, only with the mathematical power of computers has it become possible to realize connections between fractal geometry and other disciplines. It is applied in various fields now, from biology to economy. Important applications also appear in computer science because fractal geometry permits us to compress images, and to reproduce, in virtual reality environments, the complex patterns and irregular forms present in nature using simple iterative algorithms executed by computers. Recent studies apply this geometry to controlling traffic in computer networks (LANs, MANs, WANs, and the Internet). The aim of this chapter is to present fractal geometry, its properties (e.g., self-similarity), and their applications in computer science.

Fractals, Computer Science and Beyond

2013 ◽  
pp. 268-291 ◽  
Author(s):  
Nicoletta Sala
Keyword(s):  
Virtual Reality ◽  
Computer Science ◽  
Virtual Worlds ◽  
Fractal Geometry ◽  
World Wide ◽  
Iterative Algorithms ◽  
The Self ◽  
The Other ◽  
The Internet ◽  
Self Similarity

In the modelling of the natural shapes (clouds, ferns, trees, shells, rivers, mountains), the limits imposed by Euclidean geometry can be exceeded by the fractals. Fractal geometry is relatively young (the first studies are the works by the French mathematicians Pierre Fatou (1878-1929) and Gaston Julia (1893-1978) at the beginning of the 20th century), but only with the mathematical power of computers has it become possible to realize connections between fractal geometry and the other disciplines. It is applied in various fields now, from the biology to the architecture. Important applications also appear in computer science, because the fractal geometry permits to compress the images; to reproduce, in the virtual reality environments, the complex patterns and the irregular forms present in nature using simple iterative algorithms execute by computers. Recent studies apply this geometry for controlling the traffic in the computer networks (LANs, MANs, WANs, and the Internet) and in the realization of virtual worlds based on World Wide Web. The aim of this chapter is to present fractal geometry, its properties (e.g., the self similarity), and their applications in computer science (starting from the computer graphics, to the virtual reality).

scholarly journals TEOREMA DE PITÁGORAS E O FRACTAL ÁRVORE PITAGÓRICA: UM EXPERIMENTO NO ENSINO FUNDAMENTAL

2018 ◽  
Vol 11 (3) ◽  
pp. 444
Author(s):  
José Carlos Pinto Leivas ◽  
Anne Desconsi Hasselmann Bettin
Keyword(s):  
Fractal Geometry ◽  
Euclidean Geometry ◽  
The Self ◽  
Teaching Methodology ◽  
Self Similarity ◽  
Van Hiele ◽  
Geometric Figures ◽  
Van Hiele Theory ◽  
The World

This article approaches a qualitative research that had as objective to use some notions of euclidean geometry of students of a nineth year of Elementary School to realize the need to know some aspects of fractal geometry to understand the world in which they live. As a teaching methodology was used Van Hiele Theory for the development of reasoning in geometry with the software Geogebra in the construction of the fractal Pythagorean Tree. The students realized activities of classification of geometric figures and elements of nature, that allowed them to group them in properties or characteristics in two geometries and, with exploration of the photography resource, it was possible, for example, to identify the self-similarity characteristic of the fractal objects. The results of the research showed the efficiency of the Van Hiele Theory and Geogebra in the understanding of properties of the two geometries, in particular, on the Pythagorean theorem.

scholarly journals Penggunaan Virtual Machine dalam Pembelajaran Jaringan

2014 ◽  
Vol 5 (1) ◽  
pp. 495
Author(s):  
Santoso Budijono ◽  
Robby Saleh
Keyword(s):  
Computer Science ◽  
Virtual Machine ◽  
Computer Networks ◽  
Communication System ◽  
Virtual Machines ◽  
The Internet ◽  
Network System ◽  
The Creation

Computer Networks is an important course as a basis in computer science. This is because at this time all activities are associated with the use of network system or communication system. In the course of learning in Computer Networks, students are often difficult to understand network concepts, especially with many layman terms for students. The term IP, Subnet Mask, Gateway, and Router are the terms widely used in network. To better understand the use of the IP, Subnet Mask, Gateway, and Router, it should be given concrete examples of the application day-to-day. Such as setting the IP, Subnet, Gateway, and Router on a PC connected to the network, it is hoped that students can quickly understand. This prototype used some Virtual Machines considered to represent the need for the creation of multiple virtual machines in one computer. The resulting prototype is expected to be useful in learning the Networking matter in Computer Networks subject. Research successfully created 2 Virtual Machines in 1 computer, with the network in both Virtual Machines isolated and not connected to the Internet.

An Exercise in a Transdisciplinary Approach for New Knowledge Paradigms

2014 ◽  
Vol 3 (3) ◽  
pp. 114-143
Author(s):  
Gabriel Crumpei ◽  
Maricel Agop ◽  
Alina Gavriluţ ◽  
Irina Crumpei
Keyword(s):  
Quantum Mechanics ◽  
20Th Century ◽  
Chaos Theory ◽  
Fractal Geometry ◽  
Science And Religion ◽  
Transdisciplinary Approach ◽  
Linear Dynamics ◽  
New Knowledge ◽  
Religious Perspectives ◽  
Energy Information

Abstract In this paper, we aim at an exercise that is transdisciplinary, involving science and religion, and interdisciplinary, involving disciplines and theories which appeared in the second half of the 20th century (e.g., topology, chaos theory, fractal geometry, non-linear dynamics, all of which can be found in the theory of complex systems). The latter required the reformulation of quantum mechanics theories starting with the beginning of the century, based on the substance-energy-information triangle. We focus on information and we also attempt a transdisciplinary approach to the imaginary from a psychological - physical - mathematical perspective, but the religious perspectives find their place along with the philosophical or even philological vision

Using NLP for Fact Checking: A Survey

Designs ◽  
2021 ◽  
Vol 5 (3) ◽  
pp. 42
Author(s):  
Eric Lazarski ◽  
Mahmood Al-Khassaweneh ◽  
Cynthia Howard
Keyword(s):  
Natural Language Processing ◽  
Natural Language ◽  
Computer Science ◽  
Language Processing ◽  
The Internet ◽  
Fake News ◽  
Fact Checking ◽  
The Many ◽  
Human Powered ◽  
The Web

In recent years, disinformation and “fake news” have been spreading throughout the internet at rates never seen before. This has created the need for fact-checking organizations, groups that seek out claims and comment on their veracity, to spawn worldwide to stem the tide of misinformation. However, even with the many human-powered fact-checking organizations that are currently in operation, disinformation continues to run rampant throughout the Web, and the existing organizations are unable to keep up. This paper discusses in detail recent advances in computer science to use natural language processing to automate fact checking. It follows the entire process of automated fact checking using natural language processing, from detecting claims to fact checking to outputting results. In summary, automated fact checking works well in some cases, though generalized fact checking still needs improvement prior to widespread use.

From zones to Zoom: Shakespeare on screen in the digital era

2021 ◽  
pp. 018476782110083
Author(s):  
Sarah Hatchuel ◽  
Nathalie Vienne-Guerrin
Keyword(s):  
Social Media ◽  
20Th Century ◽  
The Internet ◽  
Digital Revolution ◽  
Digital Era ◽  
Production Distribution ◽  
Production And Distribution

This introduction explores the consequences of the digital revolution on the production, distribution, dissemination, and study of Shakespeare on screen. Since the end of the 20th century, the rise (and fall) of the DVD, the digitalisation of sounds and images allowing us to experience and store films on our computers, the spreading of easy filming/editing tools, the live broadcasts of theatre performances in cinemas or on the Internet, the development of online archives and social media, as well as the globalisation of production and distribution have definitely changed the ways Shakespeare on screen is (re)created, consumed, shared, and examined.

Pascal's Prism

2012 ◽  
Vol 96 (536) ◽  
pp. 213-220
Author(s):  
Harlan J. Brothers
Keyword(s):  
Probability Theory ◽  
Fractal Geometry ◽  
Euclidean Geometry ◽  
Fibonacci Series ◽  
Pascal’S Triangle ◽  
Number Sequences ◽  
Definition Of ◽  
Image Position ◽  
Pascal's Triangle

Pascal's triangle is well known for its numerous connections to probability theory [1], combinatorics, Euclidean geometry, fractal geometry, and many number sequences including the Fibonacci series [2,3,4]. It also has a deep connection to the base of natural logarithms, e [5]. This link to e can be used as a springboard for generating a family of related triangles that together create a rich combinatoric object.2. From Pascal to LeibnizIn Brothers [5], the author shows that the growth of Pascal's triangle is related to the limit definition of e.Specifically, we define the sequence sn; as follows [6]:

Sign in / Sign up

Export Citation Format

Share Document