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Term: plane


Topics from Topodia matching the term "plane"
Chaos and Fractals
fractals , fractal , mandelbrot , iterations , complex plane
A fractal is a chaotic mathematic object which can be divided into parts, each of which is similar to the original object. Fractals are said to possess infinite detail, and are generally self-similar and independent of scale. In many cases a fractal can be generated by a repeating pattern, typically a recursive or iterative process. The term fractal was coined in 1975 by Benoît Mandelbrot, from the Latin fractus or "broken"/"fraction". Chaos theory, in mathematics and physics, deals with the behavior of certain nonlinear dynamical systems that (under certain conditions) exhibit the phenomenon known as chaos, most famously characterised by sensitivity to initial conditions. Systems that exhibit mathematical chaos are deterministic and thus orderly in some sense; this technical use of the word chaos is at odds with common parlance, which suggests complete disorder.
Algebra
double cover , jordan algebra , mathematics , abstract , matrices
Algebra is a branch of mathematics that uses letters or other symbols to represent unknown quantities, called variables. These variables and number values are combined to form equations. The rules of these equations follow the exact same rules as arithmetic, such as the commutative and associative laws for addition and multiplication. Functions are a special type of equation, where one variable can be uniquely defined in terms of the other. Another part of this topic is graphing of equations and functions using the Cartesian coordinate graph or polar coordinates. Also, covered in this topic is set theory or what constitutes a grouping of numbers.
Topology
manifold , topology , algebraic topology , new york , manifolds
Knot Theory
crossings , dna , knots , borromean rings , fishing knots
Knots, braids, tangles: papers, software and pictures.
Geodesy
axis , plane , geodesy , equatorial plane , semi-major axis
Geodesy is the study of the size and shape of the Earth's surface and the creation of theoretical mathematical models of the surface that best fits the physical data.
Caves and Karst
karst , cave , phreatic zone , caves , round bar
Karst refers to any terrain where the topography has been formed chiefly by the dissolving of rock, primarily carbonates (such as limestone) and evaporites (such as salt). Landforms associated with karst include sinkholes, caves, sinking streams, springs, and solution valleys. Because of the unique geologic and hydrologic features associated with highly developed subterranean networks, the scope of problems related to the karst environment is large.
Uranus
uranus , planet , voyager , saturn , jupiter
Kuiper Belt
pluto , solar system , kuiper belt , quaoar , orbit

The Kuiper Belt is a disk-shaped region past the orbit of Neptune roughly 30 to 100 AU from the Sun containing many small icy bodies. It is now considered to be the source of the short-period comets.

Active Galactic Nuclei - Quasars
quasars , huge mass , galaxy , jet , active galaxies
Imaging Science
specimen , confocal imaging , research , systems , conjugate focal plane
Imaging science is a relatively new discipline that combines computer-based imaging techniques with a variety of data acquisition tools to increase the range of properties that scientists can observe. The generic issues of imaging science include image-data acquisition; image reconstruction and processing; image recording and distribution; image display, analysis, and evaluation; human vision; and the mental processes involved in observation.
Computational Geometry
computational geometry , geometric computing , voronoi diagrams , computational geometry community , strategic directions
Computational geometry is in some sense the intersection of computer science and geometry, studying efficient algorithms for solving geometric problems.
Tessellations
tessellations , tilings , tiling , plane , hyperbolic plane
Mathematical recreations involving tessellations or tiling.