The convexity of the function y = E(x) defined by xy = yx

2020 ◽  
Vol 104 (559) ◽  
pp. 36-43
Author(s):  
Alan F. Beardon ◽  
Russell A. Gordon
Keyword(s):  
Rational Solutions ◽  
Positive Real ◽  
Real Solutions ◽  
The Past ◽  
Leonhard Euler ◽  
Integer Solutions ◽  
Complex Solutions ◽  
Distinct Integer ◽  
The Web

The set of solutions to the equation xy = yx has been studied extensively over the past three centuries, including work by well known mathematicians such as Daniel Bernoulli (1700–1782), Leonhard Euler (1707–1783), and Christian Goldbach (1690–1764). Various mathematicians have focused on the integer, rational, real, and complex solutions. For example, it has been shown (see [1]) that the equality 24 = 42 gives the only distinct integer solutions. Our exposition below presents some of the key ideas behind the positive real solutions to this equation and illustrates how rational solutions can be found. To learn more about the various solutions, the reader can consult the articles listed at the end of this paper, as well as the extensive references given in these articles. It is also possible to find some of this material on the Web.

Introducing the Past, Present, and Future of the Web

2012 ◽  
pp. 1-10
Author(s):  
Jonathan Lane ◽  
Tom Barker ◽  
Joseph R. Lewis ◽  
Meitar Moscovitz
Keyword(s):  
The Past ◽  
The Web

Text Simplification

2018 ◽  
Author(s):  
Horacio Saggion
Keyword(s):  
Language Processing ◽  
Language Resources ◽  
The Past ◽  
Text Simplification ◽  
Text Readability ◽  
Target User ◽  
Evaluation Approaches ◽  
Linguistic Impairment ◽  
Automatic Text ◽  
The Web

Over the past decades, information has been made available to a broad audience thanks to the availability of texts on the Web. However, understanding the wealth of information contained in texts can pose difficulties for a number of people including those with poor literacy, cognitive or linguistic impairment, or those with limited knowledge of the language of the text. Text simplification was initially conceived as a technology to simplify sentences so that they would be easier to process by natural-language processing components such as parsers. However, nowadays automatic text simplification is conceived as a technology to transform a text into an equivalent which is easier to read and to understand by a target user. Text simplification concerns both the modification of the vocabulary of the text (lexical simplification) and the modification of the structure of the sentences (syntactic simplification). In this chapter, after briefly introducing the topic of text readability, we give an overview of past and recent methods to address these two problems. We also describe simplification applications and full systems also outline language resources and evaluation approaches.

Gaining a Past, Losing a Future: Web 2.0 and Internet Historicity

2012 ◽  
Vol 143 (1) ◽  
pp. 99-109 ◽  
Author(s):  
Matthew Allen
Keyword(s):  
Popular Culture ◽  
Web 2.0 ◽  
First Century ◽  
The Internet ◽  
Historical Interpretation ◽  
Web 3.0 ◽  
The Past ◽  
The Future ◽  
Or Practice ◽  
The Web

This article explore how, in the first decade of the twenty-first century, the internet became historicised, meaning that its public existence is now explicitly framed through a narrative that locates the current internet in relation to a past internet. Up until this time, in popular culture, the internet had been understood mainly as the future-in-the-present, as if it had no past. The internet might have had a history, but it had no historicity. That has changed because of Web 2.0, and the effects of Tim O'Reilly's creative marketing of that label. Web 2.0, in this sense not a technology or practice but the marker of a discourse of historical interpretation dependent on versions, created for us a second version of the web, different from (and yet connected to) that of the 1990s. This historicising moment aligned the past and future in ways suitable to those who might control or manage the present. And while Web 3.0, implied or real, suggests the ‘future’, it also marks out a loss of other times, or the possibility of alterity understood through temporality.

Russian web series: Mastering the new format

2021 ◽  
Vol 12 (1) ◽  
pp. 25-37 ◽  
Author(s):  
Artem Prokhorov
Keyword(s):  
The Internet ◽  
Foreign Experience ◽  
The Past ◽  
Web Series ◽  
The Web

The article studies how domestic screenwriters and directors are exploring the web series format that started actively developing in Russia only five years ago. Both series produced for major internet platforms and indie projects created by independent studios in the past five years are reviewed. The article analyses how Russian authors understand and take into account in their work the specifics of the new field, as well as the format-forming features of web series that have developed abroad. Such aspects as the lack of censorship, freedom from severe restrictions on story genres and heroes’ types have a significant impact on the dramaturgy of native web series. Those are the things that determine the attractiveness of this new format for experienced Russian authors moving to the internet from related fields: cinema and television. The results of the study show that Russian dramatists and directors rely on foreign experience of creating web series, but at the same time they try to modify certain features of this format and sometimes manage to find their own unique solutions.

People Seeking People

2020 ◽  
pp. 113-130
Author(s):  
Jessa Lingel
Keyword(s):  
Sex Trafficking ◽  
General Public ◽  
Online Dating ◽  
Social Stigma ◽  
Social Connection ◽  
Social Expectations ◽  
The Past ◽  
The People ◽  
The Media ◽  
The Web

This chapter looks at what made craigslist personals distinctive from other online dating platforms, focusing on shifting norms around anonymity and a persistent social stigma. More than any other section, the personals demonstrate a Web 1.0 vision of social connection, where experimentation and risk were valued over trust infrastructure. Craigslist's politics of openness and inclusion were contested most fiercely when it came to sex and dating, demonstrated by legislation like Fight Online Sex Trafficking Act (FOSTA) as well as the tendency to stigmatize craigslist personals and the people who use them. Like newspaper classified ads of the past, craigslist personals were often viewed suspiciously by the general public, sensationally by the media, and as a gateway to the margins by academics. By being so open and accessible, craigslist invited spectators and voyeurs, as well as critics. Stigma here emerges as a response to the gap between social expectations of sex and dating and the messy, shady, serendipitous reality of the web.

Developing Trust for Electronic Commerce

2011 ◽  
pp. 39-80 ◽  
Author(s):  
Dieter Fink
Keyword(s):  
Electronic Commerce ◽  
World Wide ◽  
Global Scale ◽  
Body Language ◽  
Internet Technology ◽  
The Internet ◽  
The Past ◽  
New Information ◽  
The World ◽  
The Web

While much attention is currently being devoted to solving technological challenges of the Internet, for example increasing the bandwidth on existing narrowband network platforms to overcome bottlenecks, little attention appears to be given to the nontechnical aspects. This has been a mistake in the past as human resistance to, or incompetence during, the introduction of new Information Technology (IT) often caused Information Systems (IS) to fail. By focusing on a broad range of technical and nontechnical elements early in the adoption of Internet technology, we have the opportunity to avoid the mistakes made in the past. The Internet has given rise to electronic commerce (e-commerce) through the use of the World Wide Web (Web). E-commerce, by its nature, offers enormous possibilities but in an uncontrolled environment. Therefore, for e-commerce to be accepted, trust must be established as soon as interaction with a Web site begins. In the virtual environment of the Web trust has become even more important because the parties are not in physical proximity. There are no handshakes or body language to be observed when closing a deal. Furthermore, jurisdiction is unclear. Developments on a global scale are required that provide assurance that e-commerce can be conducted in a ‘trusting’ manner.

Numerical simulation of blood flow in intracranial aneurysms treated by endovascular Woven EndoBridge technique

2020 ◽  
Vol 31 (05) ◽  
pp. 2050073
Author(s):  
Alireza Sharifi ◽  
Amin Deyranlou ◽  
Mohammad Charjouei Moghadam ◽  
Hamid Niazmand
Keyword(s):  
Intracranial Aneurysms ◽  
Single Layer ◽  
Mathematical Framework ◽  
Aneurysm Neck ◽  
The Past ◽  
Bifurcation Aneurysm ◽  
Efficient Performance ◽  
Computational Fluid Dynamics Cfd ◽  
Woven Endobridge ◽  
The Web

Over the past few decades, different therapeutic methods for the treatment of intracranial aneurysms have been developed. During recent years, novel standalone intrasaccular Woven EndoBridge (WEB) technique has paved the way for efficient therapy and reduced some deficiencies in prior procedures. Blood hemodynamics plays a crucial role in occurrence and perpetuating of aneurysm; therefore, understanding of relevant parameters can lead to a better treatment and evolution of design. Objectively, this paper has established the first mathematical framework to explore hemodynamic parameters for WEB-treated saccular aneurysms by employing Computational Fluid Dynamics (CFD). Two ideal models of artery — one is suffered by a bifurcation aneurysm at Basilar Artery (BA) and another Posterior Cerebral Artery (PCA) aneurysm — are selected. Simulations are performed for an untreated and three WEB-treated aneurysms by Dual Layer (DL), Single Layer (SL) and Single Layer Sphere (SLS) WEBs. Results demonstrate that, generally, the WEB reduces flow intrusion and circulation inside the aneurysm sac, which leads to lowering WSS; however, the infiltrated flow to the WEB causes slight increase in intrasaccular pressure. Moreover, the numerical results show that the WEB DL reduces velocity and WSS, and elevates pressure inside the sac more than the WEBs SL and SLS. Among the explored WEB models (DL, SL and SLS), by assuming thorough binding at the aneurysm neck, the WEB DL demonstrates much efficient performance in flow diversion from the aneurysm, while despite the different structure of WEBs SL and SLS, they perform similarly.

African Web Portals

2011 ◽  
pp. 41-46 ◽  
Author(s):  
Esharenana E. Adomi
Keyword(s):  
Information Retrieval ◽  
World Wide Web ◽  
Rapid Growth ◽  
World Wide ◽  
Web Search ◽  
Information Age ◽  
Web Portals ◽  
The Past ◽  
The World ◽  
The Web

The World Wide Web (WWW) has led to the advent of the information age. With increased demand for information from various quarters, the Web has turned out to be a veritable resource. Web surfers in the early days were frustrated by the delay in finding the information they needed. The first major leap for information retrieval came from the deployment of Web search engines such as Lycos, Excite, AltaVista, etc. The rapid growth in the popularity of the Web during the past few years has led to a precipitous pronouncement of death for the online services that preceded the Web in the wired world.

The Reconstruction of Memory at Constitution Hill

2008 ◽  
Vol 30 (1) ◽  
pp. 17-25 ◽  
Author(s):  
CHURCHILL MADIKIDA ◽  
LAUREN SEGAL ◽  
CLIVE VAN DEN BERG
Keyword(s):  
South African ◽  
Political Leader ◽  
Constitutional Court ◽  
African History ◽  
Constitutional Democracy ◽  
South Africans ◽  
The Past ◽  
Nelson Mandela ◽  
Former Prisoners ◽  
The Web

Abstract The Old Fort Prison was Johannesburg's main place of incarceration of prisoners for eight decades, including during the apartheid era. Virtually every important political leader in South African history, including Mahatma Gandhi, Nelson Mandela, Winnie Mandela, and Fatima Meer, as well as scores of ordinary South Africans caught in the web of colonial and apartheid repression, were imprisoned there. Today, this prison complex is home to South Africa's Constitutional Court. Constitution Hill has brought former prisoners to “map” their memories of the site. They also host public dialogues on the injustices of the past, as typified by the prisons at Number Four, as well as people's understanding of their constitutional needs and rights, and their experiences of the country's young constitutional democracy.

Sign in / Sign up

Export Citation Format

Share Document