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Concave

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Look up concave or concavity in Wiktionary, the free dictionary. Concave or concavity may refer to: Concave lens Concave mirror Concave function, the...

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Concave function

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In mathematics, a concave function is one for which the value at any convex combination of elements in the domain is greater than or equal to the convex...

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Concave polygon

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A simple polygon that is not convex is called concave, non-convex or reentrant. A concave polygon will always have at least one reflex interior angle—that...

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Hollow Earth

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been called the "concave" Hollow Earth hypothesis or skycentrism. Cyrus Teed, a doctor from upstate New York, proposed such a concave Hollow Earth in 1869...

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Curved mirror

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reflecting surface. The surface may be either convex (bulging outward) or concave (recessed inward). Most curved mirrors have surfaces that are shaped like...

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Convex and Concave

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Convex and Concave is a lithograph print by the Dutch artist M. C. Escher, first printed in March 1955. It depicts an ornate architectural structure with...

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Lens

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lens with two concave surfaces is biconcave (or just concave). If one of the surfaces is flat, the lens is plano-convex or plano-concave depending on the...

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Convex function

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{\displaystyle \cup } (or a straight line like a linear function), while a concave function's graph is shaped like a cap ∩ {\displaystyle \cap } . A twice-differentiable...

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Convex set

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a convex polygon is sometimes called a concave polygon, and some sources more generally use the term concave set to mean a non-convex set, but most authorities...

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Quasiconvex function

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is quasiconvex. A concave function can be quasiconvex. For example, x ↦ log ⁡ ( x ) {\displaystyle x\mapsto \log(x)} is both concave and quasiconvex. Any...

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Logarithmically concave function

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analysis, a non-negative function f : Rn → R+ is logarithmically concave (or log-concave for short) if its domain is a convex set, and if it satisfies the...

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Tornado

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Wikimedia Commons has media related to Tornadoes. Wikimedia Commons has media related to Pictures of tornadoes. A tornado is a violently rotating column...

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Logarithmically concave sequence

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an) of nonnegative real numbers is called a logarithmically concave sequence, or a log-concave sequence for short, if ai2 ≥ ai−1ai+1 holds for 0 < i < n...

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Convex optimization

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minimizing convex functions over convex sets (or, equivalently, maximizing concave functions over convex sets). Many classes of convex optimization problems...

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Quadrilateral

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(self-intersecting, or crossed). Simple quadrilaterals are either convex or concave. The interior angles of a simple (and planar) quadrilateral ABCD add up...

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Inflection point

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it is a point where the function changes from being concave (concave downward) to convex (concave upward), or vice versa. For the graph of a function...

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Curvature

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In mathematics, curvature is any of several strongly related concepts in geometry that intuitively measure the amount by which a curve deviates from being...

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Concave cake

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Concave cake (Chinese: 凹蛋糕; pinyin: āodàngāo, half-cooked cake) became popular in Chinese society after a Taiwanese variety show introduced it. The cake...

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Logarithmically concave measure

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R n {\displaystyle \mathbb {R} ^{n}} is called logarithmically concave (or log-concave for short) if, for any compact subsets A and B of R n {\displaystyle...

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Ceiling

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replacing it. Other types of ceiling include the cathedral ceiling, the concave or barrel-shaped ceiling, the stretched ceiling and the coffered ceiling...

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Dodecahedron

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to go past these limiting cases, creating concave or nonconvex pyritohedra. The endo-dodecahedron is concave and equilateral; it can tessellate space with...

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Gaussian curvature

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In differential geometry, the Gaussian curvature or Gauss curvature Κ of a smooth surface in three-dimensional space at a point is the product of the principal...

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Diffraction grating

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Rogers (1804–1882) took over the lead. By the end of the 19th century, the concave gratings of Henry Augustus Rowland (1848–1901) were the best available...

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Proper convex function

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problem (which would be clearly indicated, such as by the function being concave rather than convex) then the definition of "proper" is defined in an analogous...

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Pseudopostega concava

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Pseudopostega concava is a moth of the family Opostegidae. It was described by Donald R. Davis and Jonas R. Stonis, 2007. "A Revision of the New World...

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Polygon

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of the polygon does not cross itself. All convex polygons are simple. Concave: Non-convex and simple. There is at least one interior angle greater than...

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Hexahedron

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exists in two mirror image forms. There are three topologically distinct concave hexahedra. Two polyhedra are "topologically distinct" if they have intrinsically...

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