Mathematics includes the study of such topics as quantity, structure (algebra), space (geometry), and change (analysis). It has no generally accepted definition.
In mathematics, the natural numbers are those used for counting and ordering. In common mathematical terminology, words colloquially used for counting are "cardinal numbers", and words used for ordering are "ordinal numbers". The natural numbers can, at times, appear as a convenient set of codes, that is, as what linguists call nominal numbers, forgoing many or all of the properties of being a number in a mathematical sense. The set of natural numbers is often denoted by the symbol .
A regular expression is a sequence of characters that specifies a search pattern. Usually such patterns are used by string-searching algorithms for "find" or "find and replace" operations on strings, or for input validation. It is a technique developed in theoretical computer science and formal language theory.
In mathematics, a set is a collection of distinct elements. The elements that make up a set can be any kind of things: people, letters of the alphabet, numbers, points in space, lines, other geometrical shapes, variables, or even other sets. Two sets are equal if and only if they have precisely the same elements.
Set theory is the branch of mathematical logic that studies sets, which can be informally described as collections of objects. Although objects of any kind can be collected into a set, set theory, as a branch of mathematics, is mostly concerned with those that are relevant to mathematics as a whole.
Volleyball is a team sport in which two teams of six players are separated by a net. Each team tries to score points by grounding a ball on the other team's court under organized rules. It has been a part of the official program of the Summer Olympic Games since Tokyo 1964. Beach Volleyball was introduced to the programme at the Atlanta 1996. The adapted version of volleyball at the Summer Paralympic Games is Sitting Volleyball.
Horus or Her, Heru, Hor, Har in Ancient Egyptian, is one of the most significant ancient Egyptian deities who served many functions, most notably god of kingship and the sky. He was worshipped from at least the late prehistoric Egypt until the Ptolemaic Kingdom and Roman Egypt. Different forms of Horus are recorded in history and these are treated as distinct gods by Egyptologists. These various forms may possibly be different manifestations of the same multi-layered deity in which certain attributes or syncretic relationships are emphasized, not necessarily in opposition but complementary to one another, consistent with how the Ancient Egyptians viewed the multiple facets of reality. He was most often depicted as a falcon, most likely a lanner falcon or peregrine falcon, or as a man with a falcon head.
ARM is a family of reduced instruction set computing (RISC) architectures for computer processors, configured for various environments. Arm Ltd. develops the architecture and licenses it to other companies, who design their own products that implement one of those architectures—including systems-on-chips (SoC) and systems-on-modules (SoM) that incorporate different components such as memory, interfaces, and radios. It also designs cores that implement this instruction set and licenses these designs to a number of companies that incorporate those core designs into their own products.
Serena Jameka Williams is an American professional tennis player and former world No. 1 in women's single tennis. She has won 23 Grand Slam singles titles, the most by any player in the Open Era, and the second-most of all time behind Margaret Court (24). The Women's Tennis Association (WTA) ranked her world No. 1 in singles on eight separate occasions between 2002 and 2017. She reached the No. 1 ranking for the first time on July 8, 2002. On her sixth occasion, she held the ranking for 186 consecutive weeks, tying the record set by Steffi Graf. In total, she has been No. 1 for 319 weeks, which ranks third in the Open Era among female players behind Graf and Martina Navratilova.
Venus Ebony Starr Williams is an American professional tennis player. A former world No. 1 in both singles and doubles, Williams is generally regarded as one of the all-time greats of women's tennis and, along with younger sister Serena Williams, is credited with ushering in a new era of power and athleticism on the women's professional tennis tour.
Roger Federer is a Swiss professional tennis player. He is ranked No. 8 in the world by the Association of Tennis Professionals (ATP). He has won 20 Grand Slam men's singles titles, an all-time record shared with Rafael Nadal. Federer has been world No. 1 in the ATP rankings a total of 310 weeks – including a record 237 consecutive weeks – and has finished as the year-end No. 1 five times. Federer has won 103 ATP singles titles, the second-most of all-time behind Jimmy Connors and including a record six ATP Finals.
Maria Yuryevna Sharapova is a Russian former professional tennis player. Although she played under the banner of Russia with the Women's Tennis Association (WTA), she has lived in and been a United States permanent resident since 1994. Sharapova competed on the WTA Tour from 2001 to 2020 and had been ranked world No. 1 in singles by the WTA on five separate occasions, for a total of 21 weeks. She is one of ten women, and the only Russian, to hold the career Grand Slam. She is also an Olympic medalist, having won a silver medal in women's singles at the 2012 Summer Olympics in London. Sharapova achieved a rare level of longevity in tennis, with several tennis pundits and former players calling Sharapova one of tennis' best competitors.
Sir Andrew Barron Murray is a British professional tennis player from Scotland. He has been ranked world No. 1 by the Association of Tennis Professionals (ATP) for 41 weeks, and finished as the year-end No. 1 in 2016. He has won three Grand Slam singles titles, including two at Wimbledon, and has reached eleven major finals. Murray was ranked in the top 10 for all but one month from July 2008 through October 2017, and finished no lower than No. 4 in eight of the nine year-end rankings during that span. Murray has won 46 ATP singles titles, including 14 ATP Masters 1000 events.
Rafael "Rafa" Nadal Parera is a Spanish professional tennis player. He is ranked world No. 3 by the Association of Tennis Professionals (ATP), has been ranked No. 1 in the ATP rankings for 209 weeks, and has finished as the year-end No. 1 five times. Nadal has won 20 Grand Slam men's singles titles, an all-time record shared with Roger Federer and 36 Masters 1000 men's singles titles, an all-time record shared with Novak Djokovic.
An HTTP cookie is a small piece of data stored on the user's computer by the web browser while browsing a website. Cookies were designed to be a reliable mechanism for websites to remember stateful information or to record the user's browsing activity. They can also be used to remember pieces of information that the user previously entered into form fields, such as names, addresses, passwords, and payment card numbers.
Novak Djokovic is a Serbian professional tennis player. He is currently ranked as world No. 1 by the Association of Tennis Professionals (ATP). Djokovic has been No. 1 for a record total of 321 weeks, and has finished as year-end No. 1 on six occasions, an Open Era record shared with Pete Sampras. Djokovic has won 18 Grand Slam men's singles titles and 82 ATP singles titles overall, including a record nine Australian Open titles and a joint record 36 Masters events. He is the only player to win all of the "Big Titles" on the modern ATP Tour – that is, all four Grand Slam tournaments, all nine ATP Masters events, and the ATP Finals. In particular, he is also the only player to complete the career Golden Masters, which he has done twice.
In mathematics, a real number is a value of a continuous quantity that can represent a distance along a line. The adjective real in this context was introduced in the 17th century by René Descartes, who distinguished between real and imaginary roots of polynomials. The real numbers include all the rational numbers, such as the integer −5 and the fraction 4/3, and all the irrational numbers, such as √2. Included within the irrationals are the real transcendental numbers, such as π (3.14159265...). In addition to measuring distance, real numbers can be used to measure quantities such as time, mass, energy, velocity, and many more. The set of real numbers is denoted using the symbol R or and is sometimes called "the reals".
Alexander "Sascha" Zverev is a German professional tennis player. He has been ranked as high as No. 3 in the world by the Association of Tennis Professionals (ATP), and has been a permanent fixture in the top 10 since July 2017. Zverev was the champion at the 2018 ATP Finals, making him the youngest winner at the year-end championship in a decade. He is the only active player outside of the Big Three with four ATP Masters 1000 titles. Zverev has won 15 ATP titles in singles and two in doubles. He reached his first Grand Slam final at the 2020 US Open, finishing runner-up to Dominic Thiem.
