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Topic: Coordinates elementary mathematics


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  Coordinates (mathematics) - Wikipedia, the free encyclopedia
The coordinates of a point are the components of a tuple of numbers used to represent the location of the point in the plane or space.
The polar coordinate systems are coordinate systems in which a point is identified by a distance from some fixed feature in space and one or more subtended angles.
In terms of the Cartesian coordinate system, one usually picks O to be the origin (0,0) and L to be the positive x-axis (the right half of the x-axis).
en.wikipedia.org /wiki/Coordinates_(elementary_mathematics)   (1186 words)

  
 Coordinate system - Wikipedia, the free encyclopedia   (Site not responding. Last check: 2007-11-07)
In mathematics as applied to geometry, physics or engineering, a coordinate system is a system for assigning a tuple of scalars to each point in an n-dimensional space.
Changing the basis is a coordinate transformation, a linear transformation that can be summarized by a matrix, and is computationally the same as a mapping of points to other points keeping the bases the same: e.g.
Intrinsic coordinates describe a point upon a curve by the length of the curve to that point and the angle the tangent to that point makes with the x-axis.
www.northmiami.us /project/wikipedia/index.php/Coordinate   (798 words)

  
 Coordinate system -- Facts, Info, and Encyclopedia article   (Site not responding. Last check: 2007-11-07)
See (A coordinate system for which the coordinates of a point are its distances from a set perpendicular lines that intersect at the origin of the system) Cartesian coordinate system or (Click link for more info and facts about Coordinates (elementary mathematics)) Coordinates (elementary mathematics) for a more elementary introduction to this topic.
By convention the origin of the coordinate system in Cartesian coordinates is the point (0, 0,..., 0), which may be assigned to any given point of (A space in which Euclid's axioms and definitions apply; a metric space that is linear and finite-dimensional) Euclidean space.
The (A coordinate system for which the coordinates of a point are its distances from a set perpendicular lines that intersect at the origin of the system) Cartesian coordinate system (also called the "rectangular coordinate system"), which, for three-dimensional flat space, uses three numbers representing distances.
www.absoluteastronomy.com /encyclopedia/c/co/coordinate_system.htm   (1094 words)

  
 Coordinates (elementary mathematics) -- Facts, Info, and Encyclopedia article   (Site not responding. Last check: 2007-11-07)
The coordinates of a point are the components of a (Click link for more info and facts about tuple) tuple of numbers used to represent the location of the point in the plane or space.
In terms of the (A coordinate system for which the coordinates of a point are its distances from a set perpendicular lines that intersect at the origin of the system) Cartesian coordinate system, one usually picks O to be the origin (0,0) and L to be the positive x-axis (the right half of the x-axis).
Spherical coordinates are useful in analyzing systems that are symmetrical about a point; a sphere that has the Cartesian equation has the very simple equation in spherical coordinates.
www.absoluteastronomy.com /encyclopedia/c/co/coordinates_(elementary_mathematics).htm   (1305 words)

  
 Ellipse - Wikipedia, the free encyclopedia   (Site not responding. Last check: 2007-11-07)
In mathematics, an ellipse (from the Greek for absence) is a curve where the sum of the distances from any point on the curve to two fixed points is constant.
The shape of an ellipse is usually expressed by a number called the eccentricity of the ellipse, conventionally denoted e (not to be confused with the mathematical constant e).
In polar coordinates, an ellipse with one focus at the origin and the other on the negative x-axis is given by the equation
www.bucyrus.us /project/wikipedia/index.php/Ellipse   (1040 words)

  
 Coordinates (elementary mathematics) - Wikipedia, the free encyclopedia - TESTVERSION   (Site not responding. Last check: 2007-11-07)
In the cylindrical coordinate system, a point P is represented by a tuple of three components (r, \theta, h).
In the spherical coordinate system, a point P is represented by a tuple of three components (\rho, \phi, \theta).
Spherical coordinates are useful in analyzing systems that are symmetrical about a point; a sphere that has the Cartesian equation x^2+y^2+z^2=c^2 has the very simple equation \rho=c in spherical coordinates.
www.wissen-im-web.net /wiki/Spherical_coordinates   (896 words)

  
 Mathematics - Secondary Course Description - Mathematics - Elementary Algebra [2002]   (Site not responding. Last check: 2007-11-07)
Mathematics is incorrectly viewed as a collection of rigid rules and mysterious procedures that seem to be unrelated to each other and require total mastery with little or no understanding.
Mathematics is perceived by many to be difficult and demanding and is considered to be a subject in which it is socially acceptable to do poorly.
Mathematics learned in school is considered to be irrelevant, unnecessary, and unrelated to the mathematics students will encounter in their professional and personal lives.
www.uen.org /core/core.do?courseNum=5250   (2061 words)

  
 Mathematics > Ministry of Education
Because mathematics is a key element of the curriculum, parents, students, and teachers need to understand why mathematics is important.
As students identify relationships between mathematical concepts and everyday situations and make connections between mathematics and other subjects, they gain the ability to use mathematics to extend and apply their knowledge in other curriculum areas, such as science, music, and language.
Teachers can also encourage a positive attitude to mathematics by linking the study of mathematics to careers of people whom students observe in the community, or to careers that students might be exploring with their own future in mind.
www.edu.gov.on.ca /eng/document/curricul/curr97ma/curr97m.html   (11780 words)

  
 Semi-major axis - Wikipedia, the free encyclopedia   (Site not responding. Last check: 2007-11-07)
The semi-major axis is the mean value of the smallest and largest distance from one focus to the points on the ellipse.
Now consider the equation in polar coordinates, with one focus at the origin and the other on the positive x-axis,
\mathbf{r }\, is cartesian position vector of an orbiting object in coordinates of a reference frame with respect to which the elements of the orbit are to be calculated (e.g.
www.bucyrus.us /project/wikipedia/index.php/Semi-major_axis   (853 words)

  
 International Mathematics Olympiad
The Bay Area Mathematical Olympiad (BAMO) is a contest for high school students sponsored jointly by the Mathematical Sciences Research Institute (MSRI), the American Institute of Mathematics (AIM), the University of California at Berkeley (UCB), and the University of San Francisco (USF).
The Colorado Mathematical Olympiad (CMO) is the largest essay-type mathematical competition in the United States, with 600 to 1,000 participants competing annually for fine prizes.
The Olimpíada Matemática Argentina (OMA) is the Argentinian Mathematics Olympiad.
olympiads.win.tue.nl /imo   (2157 words)

  
 Velocity - Wikipedia, the free encyclopedia   (Site not responding. Last check: 2007-11-07)
The kinetic energy (movement energy) of a moving object is linear with both its mass and the square of its velocity:
In connection with polar coordinates, 2D velocity can be decomposed into radial velocity, away from or toward the origin, and transverse velocity, in the perpendicular direction, changing the direction of the body from the origin, and equal to the distance to the origin times the angular velocity.
Angular momentum in scalar form is the distance to the origin times the transverse speed, or equivalently, the distance squared times the angular speed, with a plus or minus to distinguish clockwise and anti-clockwise direction.
www.leessummit.us /project/wikipedia/index.php/Velocity   (642 words)

  
 MTH-0B89 : ELEMENTARY MATHEMATICS
This unit is a pre-requisite for Basic Mathematics II, which forms the second half of a year of mathematics study which, for the most successful students, can lead to starting a mathematics degree.
Feedback is in the form of carefully marked coursework and advice on study skills, mathematical presentation etc. to aid students unaccustomed to university demands or who have not studied for some time.
The aim is to give a good grounding to students who are studying sciences and who may want to specialise in mathematics after the end of their preliminary year (having taken Basic Mathematics II as well).
www.mth.uea.ac.uk /maths/syllabuses/0506/0B8905.html   (721 words)

  
 Hamiltonian mechanics   (Site not responding. Last check: 2007-11-07)
In Cartesian coordinates, the generalized momenta are precisely the physical linear momentummomenta.
In coordinates (elementary mathematics)circular polar coordinates, the generalized momentum corresponding to the angular velocity is the physical angular momentum/.
For an arbitrary choice of generalized coordinates, it may not be possible to obtain an intuitive interpretation of the conjugate momenta.
www.infothis.com /find/Hamiltonian_mechanics   (795 words)

  
 All Elementary Mathematics - Study Guide - Analytic geometry - Transformations of coordinates...
Let's move the coordinate system XOY in a plane so, that the axes OX and OY are parallel to themselves, and the origin of coordinates О moves to the point О' (a, b).
Coordinates of the point P in the new and old coordinate systems are tied by the equations:
Now coordinates of the point P in the new and old coordinate systems are tied by the equations:
www.bymath.com /studyguide/angeo/sec/angeo1.htm   (188 words)

  
 Thomson Nelson - Elementary Mathematics - Mathematics 4 West
To encourage your child to have fun on the Web while learning about Coordinate Grids, here are some games and interactive activities they can do on their own or in pairs.
Coordinates prompts your child to find locations on a grid.
To use Grid Coordinates, locate the ‘X' on the grid and input the coordinates for the ‘X' in the text fields.
mathk8.nelson.com /math4west/parentcentre/parentsurf_ch08_lesson05.html   (200 words)

  
 Project Interactivate for Elementary Math Topics
Introduce students to the Cartesian coordinate system by having them plot ordered pairs of numbers, either as a scatter plot or with the dots connected.
Introduce students to the Cartesian coordinate system by having them calculate and enter the coordinates of a randomly placed house.
Allow students to have fun while mastering their understanding of how the Cartesian coordinate system works by maneuvering a robot through a mine field.
www.shodor.org /interactivate/elementary   (1842 words)

  
 Gaussian function - Enpsychlopedia   (Site not responding. Last check: 2007-11-07)
Gaussian functions are among those functions that are "elementary" but lack "elementary antiderivatives", i.e., their antiderivatives are not among the functions ordinarily considered in first-year calculus courses.
A Gaussian function is the wave function of the ground state of the quantum harmonic oscillator.
Mathematically, the Gaussian function plays an important role in the definition of the Hermite polynomials.
www.grohol.com /psypsych/Gaussian_function   (325 words)

  
 Coordinates (elementary Mathematics) Encyclopedia Article, Definition, History, Biography   (Site not responding. Last check: 2007-11-07)
Looking For coordinates elementary mathematics - Find coordinates elementary mathematics and more at Lycos Search.
Find coordinates elementary mathematics - Your relevant result is a click away!
Look for coordinates elementary mathematics - Find coordinates elementary mathematics at one of the best sites the Internet has to offer!
www.karr.net /encyclopedia/Coordinates_%28elementary_mathematics%29   (1369 words)

  
 math lessons - Fundamental plane
The fundamental plane in a spherical coordinate system is a plane which divides the sphere into two hemispheres.
The latitude of a point is then the angle between the fundamental plane and the line joining the point to the centre of the sphere.
For a geographic coordinate system of the Earth, the fundamental plane is the equator.
www.mathdaily.com /lessons/Fundamental_plane   (99 words)

  
 Coordinates (elementary mathematics) - Dangeruss-Industries.com
In the spherical coordinate system, a point P is represented by a tuple of three components (\rho, \phi, \theta).
To construct a point from its spherical coordinates: from the origin, go {\rho} along the positive z-axis, rotate \phi about y-axis toward the direction of the positive x-axis, and rotate \theta about the z-axis toward the direction of the positive y-axis.
Another application is ergonomic design, where {\rho} is the arm length of a stationary person and the angles describe the direction of the arm as it reaches out.
www.dangeruss-industries.com /Polar_coordinates.html   (1175 words)

  
 Mathematics Archives - K12 Internet Sites
The Hub is an Internetworked resource for mathematics and science education funded by the Eisenhower Regional Consortia and operated by TERC on behalf of the Regional Alliance for Mathematics and Science Education Reform.
Mathematical Mayhem is a non-profit mathematical journal written by and for high school and undergraduate university students.
Mathematics in Context (MiC) is an NSF-funded, comprehensive middle-school mathematics curriculum for grades 5-8 that reflects the philosophy and pedagogy of the NCTM standards.
archives.math.utk.edu /k12.html   (9883 words)

  
 MATHEMATICS
Elementary probability and statistics; their use in a variety of applications.
Elementary set theory, elementary examples of functions and operations on functions, the principle of induction, counting, elementary number theory, elementary combinatorics, recurrence relations.
MATH 420 History of Mathematics (3) NW Survey of the development of mathematics from its earliest beginnings through the first half of the twentieth century.
www.washington.edu /students/crscat/math.html   (5095 words)

  
 Appetizers and Lessons for Math and Reason -Entrance
The main reason and a focus for most high school and college mathematics is or was preparation for calculus.
Inductive principles for education like those in mathematics requires (i) all steps be well-put and well-defined, (ii) the first steps be accessible, and (iii) further steps also be accessible from earlier ones.
The know-why part of mathematics provides stories or theories to follow, one at a time and one after another, some independently, to provide a greater context for know-how not only in mathematics but also in other quantitative disciplines.
www.whyslopes.com   (2649 words)

  
 Trifolium Titles - Mathematics Every Elementary Teacher Should Know   (Site not responding. Last check: 2007-11-07)
Teachers will learn to empower students to demonstrate their understanding of mathematical principles by exploring and experimenting with various formal and informal methods of reaching solutions.
Derek Haylock is senior lecturer in education at the University of East Anglia, Norwich, England, where he is chair of primary initial teacher education and responsible for the mathematics components of the primary programmes.
Douglas McDougall is an assistant professor and coordinator at the Ontario Institute for Studies in Education at the University of Toronto.
www.fitzhenry.ca /1552440125.htm   (324 words)

  
 polar graph - Article and Reference from OnPedia.com
A polar graph is a graph drawn with (circular) polar coordinates.
Elementary mathematics instruction in graphing typically introduces the Cartesian plane, in which the axes are perpendicular, so points are specified in terms of distance from the origin in two (or three) perpendicular directions
In a polar graph, points are specified in terms of absolute distance from the origin (radius
www.onpedia.com /encyclopedia/polar-graph   (87 words)

  
 math lessons - Further Mathematics
Further Mathematics is the title given by examination boards to an extended mathematics course studied at AS-Level and A-Level in the UK.
A qualification in Further Mathematics involves studying both pure and applied modules.
The subject is often studied at by potential Oxbridge candidates for subjects such as Physics, Mathematics and Engineering, as it is considered only suitable for high calibre students and covers many topic referred to during interviews and entrance tests.
www.mathdaily.com /lessons/Further_Mathematics   (162 words)

  
 Coordinates (elementary mathematics)   (Site not responding. Last check: 2007-11-07)
is the signed distance from the xy-plane to the point P. For advanced topics, please refer to Cartesian coordinate system.
In the spherical coordinate system, a point P is represented by a tuple of three components
Spherical coordinates are useful in analyzing systems that are symmetrical about a point; a sphere that has the Cartesian equation
www.sciencedaily.com /encyclopedia/coordinates__elementary_mathematics_   (795 words)

  
 Encyclopedia: Ghana   (Site not responding. Last check: 2007-11-07)
Prior to independence Ghana was the British Gold Coast colony.
Time zones are areas of the Earth that have adopted the same standard time, usually referred to as the local time.
Coordinated Universal Time or UTC, also sometimes referred to as Zulu time or Z, is an atomic realization of Universal Time (UT) or Greenwich Mean Time, the astronomical basis for civil time.
www.nationmaster.com /encyclopedia/Ghana   (4479 words)

  
 Science Fair Projects - Gaussian integral
The integral of any Gaussian function (named after Carl Friedrich Gauss) is quickly reducible to the Gaussian integral
This integral cannot be computed by elementary means since the function has no simple antiderivative.
The solution is, however, readily apparent when one examines the square of the integral, and converts to polar coordinates.
www.all-science-fair-projects.com /science_fair_projects_encyclopedia/Gaussian_integral   (412 words)

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