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50 relations: Arrow, Barbier's theorem, Bulletin of the American Mathematical Society, CGAL, Commutative property, Configuration space (physics), Convex hull, Convex polygon, Convolution, Cowles Foundation, Curve of constant width, Cut-the-Knot, Digital image processing, Dilation (morphology), Distributive property, Donald Knuth, Empty set, Erosion (morphology), Essential supremum and essential infimum, Euclidean space, Geometry, Hermann Minkowski, Identity element, Indicator function, Interval arithmetic, Lebesgue measure, Mathematical morphology, Merge algorithm, Metafont, Minkowski inequality, Mixed volume, Motion planning, Numerical control, Operation (mathematics), Parallel curve, Polar coordinate system, Polygonal chain, Position (vector), Set (mathematics), Shapley–Folkman lemma, Solid sweep, Sumset, Support function, Triangle, Vertex (geometry), Wolfram Demonstrations Project, Zero element, Zonohedron, 2D computer graphics, 3D computer graphics.
Arrow
An arrow is a fin-stabilized projectile that is launched via a bow, and usually consists of a long straight stiff shaft with stabilizers called fletchings, as well as a weighty (and usually sharp and pointed) arrowhead attached to the front end, and a slot at the rear end called nock for engaging bowstring.
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Barbier's theorem
In geometry, Barbier's theorem states that every curve of constant width has perimeter π times its width, regardless of its precise shape.
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Bulletin of the American Mathematical Society
The Bulletin of the American Mathematical Society is a quarterly mathematical journal published by the American Mathematical Society.
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CGAL
The Computational Geometry Algorithms Library (CGAL) is a software library of computational geometry algorithms.
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Commutative property
In mathematics, a binary operation is commutative if changing the order of the operands does not change the result.
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Configuration space (physics)
In classical mechanics, the parameters that define the configuration of a system are called generalized coordinates, and the vector space defined by these coordinates is called the configuration space of the physical system.
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Convex hull
In mathematics, the convex hull or convex envelope or convex closure of a set X of points in the Euclidean plane or in a Euclidean space (or, more generally, in an affine space over the reals) is the smallest convex set that contains X. For instance, when X is a bounded subset of the plane, the convex hull may be visualized as the shape enclosed by a rubber band stretched around X., p. 3.
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Convex polygon
A convex polygon is a simple polygon (not self-intersecting) in which no line segment between two points on the boundary ever goes outside the polygon.
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Convolution
In mathematics (and, in particular, functional analysis) convolution is a mathematical operation on two functions (f and g) to produce a third function, that is typically viewed as a modified version of one of the original functions, giving the integral of the pointwise multiplication of the two functions as a function of the amount that one of the original functions is translated.
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Cowles Foundation
The Cowles Foundation for Research in Economics is an economic research institute at Yale University.
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Curve of constant width
In geometry, a curve of constant width is a convex planar shape whose width (defined as the perpendicular distance between two distinct parallel lines each having at least one point in common with the shape's boundary but none with the shape's interior) is the same regardless of the orientation of the curve.
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Cut-the-Knot
Cut-the-knot is a free, advertisement-funded educational website maintained by Alexander Bogomolny and devoted to popular exposition of many topics in mathematics.
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Digital image processing
In computer science, Digital image processing is the use of computer algorithms to perform image processing on digital images.
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Dilation (morphology)
Dilation (usually represented by ⊕) is one of the basic operations in mathematical morphology.
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Distributive property
In abstract algebra and formal logic, the distributive property of binary operations generalizes the distributive law from boolean algebra and elementary algebra.
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Donald Knuth
Donald Ervin Knuth (born January 10, 1938) is an American computer scientist, mathematician, and professor emeritus at Stanford University.
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Empty set
In mathematics, and more specifically set theory, the empty set or null set is the unique set having no elements; its size or cardinality (count of elements in a set) is zero.
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Erosion (morphology)
Erosion (usually represented by ⊖) is one of two fundamental operations (the other being dilation) in morphological image processing from which all other morphological operations are based.
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Essential supremum and essential infimum
In mathematics, the concepts of essential supremum and essential infimum are related to the notions of supremum and infimum, but adapted to measure theory and functional analysis, where one often deals with statements that are not valid for all elements in a set, but rather almost everywhere, i.e., except on a set of measure zero.
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Euclidean space
In geometry, Euclidean space encompasses the two-dimensional Euclidean plane, the three-dimensional space of Euclidean geometry, and certain other spaces.
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Geometry
Geometry (from the γεωμετρία; geo- "earth", -metron "measurement") is a branch of mathematics concerned with questions of shape, size, relative position of figures, and the properties of space.
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Hermann Minkowski
Hermann Minkowski (22 June 1864 – 12 January 1909) was a German mathematician and professor at Königsberg, Zürich and Göttingen.
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Identity element
In mathematics, an identity element or neutral element is a special type of element of a set with respect to a binary operation on that set, which leaves other elements unchanged when combined with them.
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Indicator function
In mathematics, an indicator function or a characteristic function is a function defined on a set X that indicates membership of an element in a subset A of X, having the value 1 for all elements of A and the value 0 for all elements of X not in A. It is usually denoted by a symbol 1 or I, sometimes in boldface or blackboard boldface, with a subscript specifying the subset.
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Interval arithmetic
Interval arithmetic, interval mathematics, interval analysis, or interval computation, is a method developed by mathematicians since the 1950s and 1960s, as an approach to putting bounds on rounding errors and measurement errors in mathematical computation and thus developing numerical methods that yield reliable results.
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Lebesgue measure
In measure theory, the Lebesgue measure, named after French mathematician Henri Lebesgue, is the standard way of assigning a measure to subsets of n-dimensional Euclidean space.
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Mathematical morphology
Mathematical morphology (MM) is a theory and technique for the analysis and processing of geometrical structures, based on set theory, lattice theory, topology, and random functions.
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Merge algorithm
Merge algorithms are a family of algorithms that take multiple sorted lists as input and produce a single list as output, containing all the elements of the inputs lists in sorted order.
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Metafont
Metafont is a description language used to define raster fonts.
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Minkowski inequality
In mathematical analysis, the Minkowski inequality establishes that the L''p'' spaces are normed vector spaces.
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Mixed volume
In mathematics, more specifically, in convex geometry, the mixed volume is a way to associate a non-negative number to an n-tuple of convex bodies in the n-dimensional space.
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Motion planning
Motion planning (also known as the navigation problem or the piano mover's problem) is a term used in robotics for the process of breaking down a desired movement task into discrete motions that satisfy movement constraints and possibly optimize some aspect of the movement.
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Numerical control
Computer numerical control (CNC) is the automation of machine tools by means of computers executing pre-programmed sequences of machine control commands.
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Operation (mathematics)
In mathematics, an operation is a calculation from zero or more input values (called operands) to an output value.
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Parallel curve
A parallel of a curve is the.
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Polar coordinate system
In mathematics, the polar coordinate system is a two-dimensional coordinate system in which each point on a plane is determined by a distance from a reference point and an angle from a reference direction.
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Polygonal chain
In geometry, a polygonal chain is a connected series of line segments.
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Position (vector)
In geometry, a position or position vector, also known as location vector or radius vector, is a Euclidean vector that represents the position of a point P in space in relation to an arbitrary reference origin O. Usually denoted x, r, or s, it corresponds to the straight-line from O to P. The term "position vector" is used mostly in the fields of differential geometry, mechanics and occasionally vector calculus.
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Set (mathematics)
In mathematics, a set is a collection of distinct objects, considered as an object in its own right.
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Shapley–Folkman lemma
The Shapley–Folkman lemma is a result in convex geometry with applications in mathematical economics that describes the Minkowski addition of sets in a vector space.
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Solid sweep
The sweep Sw of a solid S is defined as the solid created when a motion M is applied to a given solid.
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Sumset
In additive combinatorics, the sumset (also called the Minkowski sum) of two subsets A and B of an abelian group G (written additively) is defined to be the set of all sums of an element from A with an element from B. That is, The n-fold iterated sumset of A is where there are n summands.
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Support function
In mathematics, the support function hA of a non-empty closed convex set A in \mathbb^n describes the (signed) distances of supporting hyperplanes of A from the origin.
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Triangle
A triangle is a polygon with three edges and three vertices.
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Vertex (geometry)
In geometry, a vertex (plural: vertices or vertexes) is a point where two or more curves, lines, or edges meet.
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Wolfram Demonstrations Project
The Wolfram Demonstrations Project is an organized, open-source collection of small (or medium-size) interactive programs called Demonstrations, which are meant to visually and interactively represent ideas from a range of fields.
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Zero element
In mathematics, a zero element is one of several generalizations of the number zero to other algebraic structures.
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Zonohedron
A zonohedron is a convex polyhedron with point symmetry, every face of which is a polygon with point symmetry.
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2D computer graphics
2D computer graphics is the computer-based generation of digital images—mostly from two-dimensional models (such as 2D geometric models, text, and digital images) and by techniques specific to them.
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3D computer graphics
3D computer graphics or three-dimensional computer graphics, (in contrast to 2D computer graphics) are graphics that use a three-dimensional representation of geometric data (often Cartesian) that is stored in the computer for the purposes of performing calculations and rendering 2D images.
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Redirects here:
Minkowski difference, Minkowski sum.
References
[1] https://en.wikipedia.org/wiki/Minkowski_addition
