Two-dimensional space

In physics and mathematics, two-dimensional space or bi-dimensional space is a geometric model of the planar projection of the physical universe. The two dimensions are commonly called length and width. Both directions lie in the same plane.

A sequence of n real numbers can be understood as a location in n-dimensional space. When n = 2, the set of all such locations is called two-dimensional space or bi-dimensional space, and usually is thought of as a Euclidean space.

History

Books I through IV and VI of Euclid's Elements dealt with two-dimensional geometry, developing such notions as similarity of shapes, the Pythagorean theorem (Proposition 47), equality of angles and areas, parallelism, the sum of the angles in a triangle, and the three cases in which triangles are "equal" (have the same area), among many other topics.

Later, the plane was described in a so-called Cartesian coordinate system, a coordinate system that specifies each point uniquely in a plane by a pair of numerical coordinates, which are the signed distances from the point to two fixed perpendicular directed lines, measured in the same unit of length. Each reference line is called a coordinate axis or just axis of the system, and the point where they meet is its origin, usually at ordered pair (0, 0). The coordinates can also be defined as the positions of the perpendicular projections of the point onto the two axes, expressed as signed distances from the origin.

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.

X+Y (film)

X+Y, released in the US as A Brilliant Young Mind, is a 2014 British drama film directed by Morgan Matthews starring Asa Butterfield, Rafe Spall, and Sally Hawkins. The film, inspired by Beautiful Young Minds, focuses on a teenage English mathematics prodigy named Nathan (Asa Butterfield) who has difficulty understanding people, but finds comfort in numbers. When he is chosen to represent Great Britain at the International Mathematical Olympiad, Nathan embarks on a journey in which he faces unexpected challenges, such as understanding the nature of love. The film premiered at the Toronto International Film Festival on 5 September 2014. The European premiere was at the BFI London Film Festival on 13 October 2014, and the UK cinema release was on 13 March 2015.

The film heavily features previously-recorded songs by Keaton Henson.

Cast

Kate (given name)

Kate is a feminine given name and nickname. It is a short form of multiple feminine names, most notably Katherine but also Caitlin and others.

Translations and variations

Kate (TV series)

Kate is a British drama television series which originally aired on ITV in 38 episodes between 6 January 1970 and 29 November 1972. It starred Phyllis Calvert in the role of an agony aunt who becomes personally drawn into the problems of the people who send letters to her. It was made by Yorkshire Television.

Main cast

References

External links

Kate (text editor)

Kate (short for KDE Advanced Text Editor) is a text editor developed by KDE. It has been a part of KDE Software Compilation since version 2.2, which was first released in 2001. Geared towards software developers, it features syntax highlighting, code folding, customizable layouts, regular expression support, and extensibility.

History

Kate has been part of the KDE Software Compilation since release 2.2 in 2001. Because of KPart's technology, it is possible to embed Kate as an editing component in other KDE applications. Major KDE applications which use Kate as an editing component include the integrated development environment KDevelop, the web development environment Quanta Plus, and the LaTeX front-end Kile.

Kate has won the advanced text editor comparison in Linux Voice magazine.

As of July 2014 development had started to port Kate (along with Dolphin, Konsole, KDE Telepathy and Yakuake) to KDE Frameworks 5.

Features

Kate is a programmer's text editor that features syntax highlighting for over 200 file formats with code folding rules. The syntax highlighting is extensible via XML files. It supports UTF-8, UTF-16, ISO-8859-1 and ASCII encoding schemes and can detect a file's character encoding automatically.