Mathematics (from Greek μάθημα máthēma, “knowledge, study, learning”) is the study of topics such as quantity (numbers),structure,space, and change. There is a range of views among mathematicians and philosophers as to the exact scope and definition of mathematics.
Mathematicians seek out patterns and use them to formulate new conjectures. Mathematicians resolve the truth or falsity of conjectures by mathematical proof. When mathematical structures are good models of real phenomena, then mathematical reasoning can provide insight or predictions about nature. Through the use of abstraction and logic, mathematics developed from counting, calculation, measurement, and the systematic study of the shapes and motions of physical objects. Practical mathematics has been a human activity for as far back as written records exist. The research required to solve mathematical problems can take years or even centuries of sustained inquiry.
Rigorous arguments first appeared in Greek mathematics, most notably in Euclid's Elements. Since the pioneering work of Giuseppe Peano (1858–1932), David Hilbert (1862–1943), and others on axiomatic systems in the late 19th century, it has become customary to view mathematical research as establishing truth by rigorous deduction from appropriately chosen axioms and definitions. Mathematics developed at a relatively slow pace until the Renaissance, when mathematical innovations interacting with new scientific discoveries led to a rapid increase in the rate of mathematical discovery that has continued to the present day.
! is a punctuation mark called an exclamation mark (33 in ASCII), exclamation point, ecphoneme, or bang.
! may also refer to:
The Junior Certificate (Irish: Teastas Sóisearach) is an educational qualification awarded in Ireland by the Department of Education and Skills to students who have successfully completed the junior cycle of secondary education, and achieved a minimum standard in their Junior Certification examinations. These exams, like those for the Leaving Certificate, are supervised by the State Examinations Commission. A "recognised pupil"<ref name"">Definitions, Rules and Programme for Secondary Education, Department of Education, Ireland, 2004</ref> who commences the Junior Cycle must reach at least 12 years of age on 1 January of the school year of admission and must have completed primary education; the examination is normally taken after three years' study in a secondary school. Typically a student takes 9 to 13 subjects – including English, Irish and Mathematics – as part of the Junior Cycle. The examination does not reach the standards for college or university entrance; instead a school leaver in Ireland will typically take the Leaving Certificate Examination two or three years after completion of the Junior Certificate to reach that standard.
Pod or POD may refer to:
Payable on Death (abbreviated as P.O.D.) is an American Christian metal band formed in 1992. The band's line-up consists of vocalist Sonny Sandoval, drummer Wuv Bernardo, guitarist Marcos Curiel, and bassist Traa Daniels. They have released six major label studio albums along with two independent albums and have sold over 12 million records worldwide. Over the course of their career, the band has received three Grammy Award nominations, contributed to numerous motion picture soundtracks and toured internationally. With their third studio album, The Fundamental Elements of Southtown, they achieved their initial mainstream success; the album was certified Platinum by the RIAA in 2000. Their following studio album, Satellite, continued the band's success with the singles, "Alive" and "Youth of the Nation", pushing it to go triple platinum.
In 1991, friends Marcos Curiel and Wuv Bernardo engaged in jam sessions, with Marcos covering guitar and Wuv playing the drums with no vocalist. Calling themselves Eschatos, they started playing at keg parties doing Metallica and Slayer cover songs.
ULTra (Urban Light Transit) is a personal rapid transit system developed by the British engineering company ULTra Global PRT (formerly Advanced Transport Systems).
The first public system opened at London's Heathrow Airport in May 2011. It consists of 21 vehicles operating on a 3.9-kilometre (2.4 mi) route connecting Terminal 5 to its business passenger car park, just north of the airport. ULTra is in contention to develop an urban system in Amritsar, India projected to carry up to 100,000 passengers per day using 200 vehicles.
To reduce fabrication costs, ULTra uses largely off-the-shelf technologies, such as rubber tyres running on an open guideway. This approach has resulted in a system that ULTra believes to be economical; the company reports that the total cost (vehicles, infrastructure and control systems) is between £3 million and £5 million per kilometre of guideway.
The system was originally designed by Martin Lowson and his design team, Lowson having put £10 million into the project. He formed Advanced Transport Systems (ATS) in Cardiff to develop the system, and their site was later the location of its test track. ULTra has twice been awarded funding from the UK National Endowment for Science, Technology and the Arts (NESTA). Much of the original research on ULTra was done by the Aerospace Engineering department at the University of Bristol during the 1990s. Recently the company renamed itself "ULTra PRT Limited" to better reflect its primary business, and moved its corporate headquarters to Bristol.