Mathematical fallacy

In mathematics, certain kinds of mistaken proof are often exhibited, and sometimes collected, as illustrations of a concept of mathematical fallacy. There is a distinction between a simple mistake and a mathematical fallacy in a proof: a mistake in a proof leads to an invalid proof just in the same way, but in the best-known examples of mathematical fallacies, there is some concealment in the presentation of the proof. For example, the reason validity fails may be a division by zero that is hidden by algebraic notation. There is a striking quality of the mathematical fallacy: as typically presented, it leads not only to an absurd result, but does so in a crafty or clever way. Therefore, these fallacies, for pedagogic reasons, usually take the form of spurious proofs of obvious contradictions. Although the proofs are flawed, the errors, usually by design, are comparatively subtle, or designed to show that certain steps are conditional, and should not be applied in the cases that are the exceptions to the rules.

Social media

Social media are computer-mediated tools that allow people or companies to create, share, or exchange information, career interests, ideas, and pictures/videos in virtual communities and networks. Social media is defined as "a group of Internet-based applications that build on the ideological and technological foundations of Web 2.0, and that allow the creation and exchange of user-generated content." Furthermore, social media depend on mobile and web-based technologies to create highly interactive platforms through which individuals and communities share, co-create, discuss, and modify user-generated content. They introduce substantial and pervasive changes to communication between businesses, organizations, communities, and individuals. These changes are the focus of the emerging field of technoself studies. Social media differ from traditional or industrial media in many ways, including quality,reach, frequency, usability, immediacy, and permanence. Social media operate in a dialogic transmission system (many sources to many receivers). This is in contrast to traditional media that operates under a monologic transmission model (one source to many receivers).

Titanfall

Titanfall is a multiplayer first-person shooter video game developed by Respawn Entertainment and published by Electronic Arts. It was released for Microsoft Windows and Xbox One on March 11, 2014; an Xbox 360 version ported by Bluepoint Games was released April 8, 2014. The game was highly anticipated as the debut title from developers formerly behind the successful Call of Duty franchise.

In Titanfall, players control "pilots" and their mech-style Titans, and fight in six-on-six matches set in war-torn outer space colonies. The game is optimized for fast-paced, continual action, aided by wall-running abilities and populations of computer-controlled soldiers. Up to 50 characters can be active in a single game, and non-player activity is offloaded to Microsoft's cloud computing services to optimize local graphical performance. The game's development team began work on the title in 2011, and their Titan concept grew from a human-sized suit into a battle tank exoskeleton. The team sought to bring "scale, verticality, and story" to its multiplayer genre through elements traditionally reserved for single-player campaigns. The 65-person project took inspiration from Blade Runner, Star Wars, Abrams Battle Tank, and Masamune Shirow of Ghost in the Shell.

Doctor Strange

Doctor Stephen Vincent Strange, best known under his alias Doctor Strange, is a fictional superhero appearing in American comic books published by Marvel Comics. Created by artist Steve Ditko, the character first appeared in Strange Tales #110 (July 1963). A former doctor, Strange serves as the Sorcerer Supreme, the primary protector of Earth against magical and mystical threats. Debuting in the Silver Age of comics, the character has been featured in several eponymous comics series and adapted in a variety of media including video games, an animated television show, and films.

In 2012, Doctor Strange was ranked 33rd in IGN's list of "The Top 50 Avengers". A Marvel Studios live-action film adaptation starring Benedict Cumberbatch in the lead role is set for a 2016 theatrical release.

Publication history

Creation

Artist Steve Ditko and scriptwriter Stan Lee have described the character as having been originally the idea of Ditko, who wrote in 2008, "On my own, I brought in to Lee a five-page, penciled story with a page/panel script of my idea of a new, different kind of character for variety in Marvel Comics. My character wound up being named Dr. Strange because he would appear in Strange Tales." In a 1963 letter to Jerry Bails, Lee called the character Ditko's idea, saying,

Coca-Cola

Coca-Cola is a carbonated soft drink. It is produced by The Coca-Cola Company of Atlanta, Georgia, and is often referred to simply as Coke (a registered trademark of The Coca-Cola Company in the United States since March 27, 1944). Originally intended as a patent medicine when it was invented in the late 19th century by John Pemberton, Coca-Cola was bought out by businessman Asa Griggs Candler, whose marketing tactics led Coke to its dominance of the world soft-drink market throughout the 20th century. The name refers to two of its original ingredients: kola nuts, a source of caffeine, and coca leaves. The current formula of Coca-Cola remains a trade secret, although a variety of reported recipes and experimental recreations have been published.

The company produces concentrate, which is then sold to licensed Coca-Cola bottlers throughout the world. The bottlers, who hold exclusive territory contracts with the company, produce finished product in cans and bottles from the concentrate in combination with filtered water and sweeteners. The bottlers then sell, distribute and merchandise Coca-Cola to retail stores, restaurants and vending machines. The Coca-Cola Company also sells concentrate for soda fountains to major restaurants and food service distributors.