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Web browsing history refers to the list of web pages a user has visited, as well as associated metadata such as page title and time of visit. It is usually stored locally by web browsers in order to provide the user with a history list to go back to previously visited pages. It can reflect the user's interests, needs, and browsing habits. All major browsers have a private browsing mode in which browsing history is not recorded. This is to protect against browsing history being collected by third parties for targeted advertising or other purposes. Locally stored browsing history can facilitate rediscovering lost previously visited web pages of which one only has a vague memory in mind, or pages difficult to find due to being located within deep web. Browsers also utilize it to enable autocompletion in their address bar for quicker and more convenient navigation to frequently visited pages. The retention span of browsing history varies per internet browser. Mozilla Firefox (desktop version) records history indefinitely by default inside a file named places.sqlite, but automatically erases the earliest history upon exhausted disk space, while Google Chrome (desktop version) stores history for ten weeks by default, automatically pruning earlier entries. An indefinite history file named Archived History was once recorded, but has been removed and automatically deleted in version 37, released in September 2014. Browser extensions such as History Trends Unlimited for Google Chrome (desktop version) allow the indefinite local storage of browsing history, exporting into a portable file, and self-analysis of browsing habits and statistics. Browsing history is not recorded when using the private browsing mode provided by most browsers. Targeted advertising Targeted advertising means presenting the user with advertisements that are more relevant to one based on one's browsing history. A typical example is a user receiving advertisements on shoes when browsing other websites after searching for shoes on shopping websites.
[2]Paolo Prandoni, [3]LCAV, EPFL
The concept of "basis" for a vector space is one of the most profound
and fruitful ideas in linear algebra. Basis vectors are the "building
blocks" that all other vectors are built from; by "disassembling" a
vector into a linear combination of basis elements we are able to "look
inside" the vector and highlight many of its relevant features.
A vector space has an infinite number o