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Definitions[edit] A projection on a vector space is a linear operator such that . When has an inner product and is complete, i.e. when is a Hilbert space, the concept of orthogonality can be used. A projection on a Hilbert space is called an orthogonal projection if it satisfies for all . A projection on a Hilbert space that is not orthogonal ...
The vector projection (also known as the vector component or vector resolution) of a vector a on (or onto) a nonzero vector b is the orthogonal projection of a onto a straight line parallel to b. The projection of a onto b is often written as or a∥b . The vector component or vector resolute of a perpendicular to b, sometimes also called the ...
Projection (mathematics) In mathematics, a projection is an idempotent mapping of a set (or other mathematical structure) into a subset (or sub-structure). In this case, idempotent means that projecting twice is the same as projecting once. The restriction to a subspace of a projection is also called a projection, even if the idempotence ...
Kinematic quantities[edit] In projectile motion, the horizontal motion and the vertical motion are independent of each other; that is, neither motion affects the other. This is the principle of compound motionestablished by Galileoin 1638,[1]and used by him to prove the parabolic form of projectile motion.
Formula editor. A formula editor is a computer program that is used to typeset mathematical formulas and mathematical expressions . Formula editors typically serve two purposes: They allow word processing and publication of technical content either for print publication, or to generate raster images for web pages or screen presentations.
The stereographic projection relates to the plane inversion in a simple way. Let P and Q be two points on the sphere with projections P ′ and Q ′ on the plane. Then P ′ and Q ′ are inversive images of each other in the image of the equatorial circle if and only if P and Q are reflections of each other in the equatorial plane.
Oblique projection is a type of parallel projection : from the three-dimensional source object with the drawing surface (projection plane). In both oblique projection and orthographic projection, parallel lines of the source object produce parallel lines in the projected image. The projectors in oblique projection intersect the projection plane ...
A mathematical symbol is a figure or a combination of figures that is used to represent a mathematical object, an action on mathematical objects, a relation between mathematical objects, or for structuring the other symbols that occur in a formula. As formulas are entirely constituted with symbols of various types, many symbols are needed for ...