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  2. Position (geometry) - Wikipedia

    en.wikipedia.org/wiki/Position_(geometry)

    In geometry, a position or position vector, also known as location vector or radius vector, is a Euclidean vector that represents a point P in space. Its length represents the distance in relation to an arbitrary reference origin O , and its direction represents the angular orientation with respect to given reference axes.

  3. Mathematical notation - Wikipedia

    en.wikipedia.org/wiki/Mathematical_notation

    Mathematical notation is widely used in mathematics, science, and engineering for representing complex concepts and properties in a concise, unambiguous, and accurate way. For example, the physicist Albert Einstein 's formula E = m c 2 {\displaystyle E=mc^{2}} is the quantitative representation in mathematical notation of mass–energy ...

  4. Position and momentum spaces - Wikipedia

    en.wikipedia.org/wiki/Position_and_momentum_spaces

    Position space (also real space or coordinate space) is the set of all position vectors r in Euclidean space, and has dimensions of length; a position vector defines a point in space. (If the position vector of a point particle varies with time, it will trace out a path, the trajectory of a particle.)

  5. Coordinate system - Wikipedia

    en.wikipedia.org/wiki/Coordinate_system

    The coordinates are taken to be real numbers in elementary mathematics, but may be complex numbers or elements of a more abstract system such as a commutative ring. The use of a coordinate system allows problems in geometry to be translated into problems about numbers and vice versa ; this is the basis of analytic geometry .

  6. Point (geometry) - Wikipedia

    en.wikipedia.org/wiki/Point_(geometry)

    In geometry, a point is an abstract idealization of an exact position, without size, in physical space, [1] or its generalization to other kinds of mathematical spaces.As zero-dimensional objects, points are usually taken to be the fundamental indivisible elements comprising the space, of which one-dimensional curves, two-dimensional surfaces, and higher-dimensional objects consist; conversely ...

  7. Positional notation - Wikipedia

    en.wikipedia.org/wiki/Positional_notation

    Digits to the right of it are multiplied by 10 raised to a negative power or exponent. The first position to the right of the separator indicates 10 −1 (0.1), the second position 10 −2 (0.01), and so on for each successive position. As an example, the number 2674 in a base-10 numeral system is: (2 × 10 3) + (6 × 10 2) + (7 × 10 1) + (4 ...

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  9. General position - Wikipedia

    en.wikipedia.org/wiki/General_position

    General position is a property of configurations of points, or more generally other subvarieties (lines in general position, so no three concurrent, and the like). General position is an extrinsic notion, which depends on an embedding as a subvariety. Informally, subvarieties are in general position if they cannot be described more simply than ...