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Topics referred to by the same term
Minimum bounding circle may refer to: Bounding sphere Smallest circle problem This disambiguation page lists articles associated with the title Minimum
Minimum_bounding_circle
Finding the smallest circle that contains all given points
smallest-circle problem (also known as minimum covering circle problem, bounding circle problem, least bounding circle problem, smallest enclosing circle problem)
Smallest-circle_problem
Points on a common circle
circle may be different from their minimum bounding circle. For example, for an obtuse triangle, the minimum bounding circle has the longest side as diameter
Concyclic_points
Circle that passes through the vertices of a triangle
The useful minimum bounding circle of three points is defined either by the circumcircle (where three points are on the minimum bounding circle) or by the
Circumcircle
Sphere that contains a set of objects
computational geometry, a bounding sphere is a special type of bounding volume. There are several fast and simple bounding sphere construction algorithms
Bounding_sphere
Closed volume that completely contains the union of a set of objects
bounding volume (or bounding region) for a set of objects is a closed region that completely contains the union of the objects in the set. Bounding volumes
Bounding_volume
Circle formed by all 90° crossings of tangents of an ellipse or hyperbola
ellipse or hyperbola cross each other. The director circle of an ellipse circumscribes the minimum bounding box of the ellipse. It has the same center as the
Director_circle
Data structures used in spatial indexing
including great-circle distance. The key idea of the data structure is to group nearby objects and represent them with their minimum bounding rectangle in
R-tree
Greatest lower bound and least upper bound
upper bound among cardinal numbers. The axiom of choice is equivalent to the statement that every nonempty set of cardinal numbers has a minimum element
Infimum_and_supremum
Traditional Indian tag game played in teams
modified so that it is simply a 5 m (16 ft) inner circle and a 7 m (23 ft) outer circle, with the outer circle acting as the boundary of the field. Instead
Kho_kho
Field of geometry closely arranging circles on a plane
the minimum distance between circles on sphere. This is analogous to distributing non-point charges on a sphere. Packing circles in simple bounded shapes
Circle_packing
Measure of the degree to which a geometric shape is compact
shape's area could be compared to that of its bounding circle, its convex hull, or its minimum bounding box. Similarly, a comparison can be made between
Compactness_measure
Intersection graph of a chord diagram
O(n3) time. Additionally, a minimum fill-in (that is, a chordal graph with as few edges as possible that contains the given circle graph as a subgraph) may
Circle_graph
Shape that blocks all lines of sight
from the minimum-perimeter bounding box of the input, consisting of a polygonal chain stretched around the polygon from one corner of the bounding box to
Opaque_set
triangulation Voronoi diagram Minimum bounding box (Smallest enclosing box, Smallest bounding box) 2-D case: Smallest bounding rectangle (Smallest enclosing
List of combinatorial computational geometry topics
List_of_combinatorial_computational_geometry_topics
Shortest network connecting points
realizations, with polynomially bounded edge lengths and bounding boxes. Rectilinear minimum spanning tree, a minimum spanning tree with distances measured
Euclidean minimum spanning tree
Euclidean_minimum_spanning_tree
Distance estimation problems in computational geometry
enumeration of possible configurations, especially in 3D and higher dimensions. Bounding box, the minimal axis-aligned hyperrectangle that contains all geometric
Proximity_problems
Two-dimensional packing problem
congruent squares can be packed into some larger shape, often a square or circle. Square packing in a square is the problem of determining the maximum number
Square_packing
Line that intersects a curve at least twice
a curve at a minimum of two distinct points. The word secant comes from the Latin word secare, meaning "to cut". In the case of a circle, a secant intersects
Secant_line
On smallest surface enclosing two volumes
and has the minimum possible surface area is a standard double bubble: three spherical surfaces meeting at angles of 120° on a common circle. The double
Double_bubble_theorem
Optimization problem in mathematics
program. Further, constraints and variables can be added to minimize the bounding-box-netlength. Given small rectangles R 1 , . . . R n {\displaystyle R_{1}
Rectangle_packing
On tangency patterns of circles
The circle packing theorem (also known as the Koebe–Andreev–Thurston theorem) describes the possible patterns of tangent circles among non-overlapping
Circle_packing_theorem
Lowest possible mass of the celestial object
astronomy, minimum mass is the lower-bound calculated mass of observed objects such as planets, stars, binary systems, nebulae, and black holes. Minimum mass
Minimum_mass
all maximal isothetic empty cuboids. Largest empty sphere Minimum bounding box, Minimum bounding rectangle A. Naamad, D. T. Lee and W.-L. Hsu (1984). "On
Largest_empty_rectangle
Area for playing association football
touchline is still on the field of play, and a foul committed over the line bounding the penalty area results in a penalty. Therefore, a ball has to completely
Football_pitch
Lower bound on radii in circle packings
the geometry of circle packings in the Euclidean plane, the ring lemma gives a lower bound on the sizes of adjacent circles in a circle packing. The lemma
Ring_lemma
Three linked but pairwise separated rings
each circle; another equivalent way to describe the over-under relation between the three circles is that each circle passes over a second circle at both
Borromean_rings
Diagram showing the singularities of a given control system's transfer function
Causal system / anticausal system Region of convergence (ROC) Minimum phase / non minimum phase A pole-zero plot shows the location in the complex plane
Pole–zero_plot
Plane curve
appropriately under such transformations. It is sometimes useful to find the minimum bounding ellipse on a set of points. The ellipsoid method is quite useful for
Ellipse
Great circle with a characteristic length
mathematics, a metric circle is the metric space of arc length on a circle, or equivalently on any rectifiable simple closed curve of bounded length. The metric
Metric_circle
Polynomial function of degree two
general the zeros of such a quadratic function describe a conic section (a circle or other ellipse, a parabola, or a hyperbola) in the x {\displaystyle
Quadratic_function
Largest distance between two points
the space. This generalizes the diameter of a circle, the largest distance between two points on the circle. This usage of diameter also occurs in medical
Diameter_of_a_set
Tree connecting given points by short paths
case, a minimum-diameter Steiner spanning tree exists with only one non-leaf vertex, a Steiner point at the center of the smallest bounding sphere of
Minimum-diameter spanning tree
Minimum-diameter_spanning_tree
Shape with same width in all directions
work. For two lines, this forms a circle; for three lines on the sides of an equilateral triangle, with the minimum possible radius, it forms a Reuleaux
Curve_of_constant_width
{\displaystyle \mathbb {R} ^{2}} , ordered by inclusion. This is a bounded lattice with minimum 0 {\displaystyle {0}} and maximum R 2 {\displaystyle \mathbb
Bounded_lattice
All points for which two tangents of a curve intersect at 90° angles
{\displaystyle {\tfrac {x^{2}}{a^{2}}}+{\tfrac {y^{2}}{b^{2}}}=1} is the director circle x 2 + y 2 = a 2 + b 2 {\displaystyle x^{2}+y^{2}=a^{2}+b^{2}} (see below)
Orthoptic_(geometry)
Database of data representing objects in geometric space
spatial data. Objects (shapes, lines and points) are grouped using the minimum bounding rectangle (MBR). Objects are added to an MBR within the index that
Spatial_database
Theorem relating the diameter of a point set to the minimum radius of an enclosing ball
there exists a circle enclosing all points whose radius satisfies r ≤ d 3 , {\displaystyle r\leq {\frac {d}{\sqrt {3}}},} and this bound is as tight as
Jung's_theorem
Number of edge slopes in graph drawing
Their proof follows a construction of Malitz & Papakostas (1994) for bounding the angular resolution of planar graphs as a function of degree, by completing
Slope_number
Neighbourhood in Toronto, Ontario, Canada
Conrad Black) moved into the area and built a large mansion on Park Lane Circle. In an effort to control who his future neighbours would be, Black took
Bridle_Path,_Toronto
Computational complexity class
games won the 2021 Nerode Prize. 3-coloring circle graphs. These are the intersection graphs of chords of a circle. Finding their optimal colorings, in general
Quasi-polynomial_time
Smallest convex set containing a given set
definition states that the convex hull is the smallest possible convex bounding volume of the objects. The definition using intersections of convex sets
Convex_hull
Eighth letter of the Greek alphabet
form, θ was written as a cross within a circle (as in the Etruscan or ), and later, as a line or point in circle ( or ). In modern print, lowercase theta
Theta
Visualization of node-link graphs
for edge crossings. The area of a drawing is the size of its smallest bounding box, relative to the closest distance between any two vertices. Drawings
Graph_drawing
Characterizes spherical triangles with fixed base and area
maximum and minimum area of a given base and "altitude" (the spherical length of a perpendicular dropped from the apex to the great circle containing the
Lexell's_theorem
Triangle with circular arc edges
hyperbolic geometry Lune and Lens, two-sided figures bounded by circular arcs Sine-triple-angle circle Trefoil, a circular triangle bulging outward from
Circular_triangle
Unsolved geometry problem
cover can be constructed by taking a regular hexagon with an inscribed circle of diameter one and removing two corners from the hexagon to give a cover
Lebesgue's universal covering problem
Lebesgue's_universal_covering_problem
Main climate class
the persistence of frost. However, some adaptations of Köppen set the minimum at 0 °C (32.0 °F). The broader definition of temperate climates may include
Temperate_climate
Branch of computer science
Bentley–Ottmann algorithm Shamos–Hoey algorithm Minimum bounding box algorithms: find the oriented minimum bounding box enclosing a set of points Nearest neighbor
Computational_geometry
Algorithm used for pathfinding and graph traversal
Conditions for Avoiding Reopenings in Best First Suboptimal Search with General Bounding Functions". Proceedings of the AAAI Conference on Artificial Intelligence
A*_search_algorithm
On points of extreme curvature in curves
was given by Osserman (1985), based on the idea of the minimum enclosing circle. This is a circle that contains the given curve and has the smallest possible
Four_vertex_theorem
Shape containing unit line segments in all directions
maximum and minimum regarding ovals". Tohoku Science Reports. 6: 71–88. Katz, Nets Hawk; Łaba, Izabella; Tao, Terence (2000). "An improved bound on the Minkowski
Kakeya_set
On least area of curves of constant width
Euclidean plane is defined as the minimum distance between any two parallel lines that enclose it. The two minimum-distance lines are both necessarily
Blaschke–Lebesgue_theorem
Apparent force in a rotating reference frame
inertial circle. Since the force is directed at right angles to the motion of the particle, it moves with a constant speed around a circle whose radius
Coriolis_force
longest interval of the bounding hyperrectangle of point set X and let Li(R(X)) denote the size of the i-th dimension of the bounding hyperrectangle of point
Well-separated pair decomposition
Well-separated_pair_decomposition
NP-hard problem in combinatorial optimization
branch-and-bound approaches. One method of doing this was to create a minimum spanning tree of the graph and then double all its edges, which produces the bound
Travelling_salesman_problem
The cause of the crash was the pilot descending the aircraft below the minimum safe altitude for the approach. Type of aircraft: British Aerospace 146
List_of_Mayday_episodes
correlation function of random Hermitian matrices. Piltz divisor problem on bounding Δ k ( x ) = D k ( x ) − x P k ( log ( x ) ) {\textstyle \Delta
List of unsolved problems in mathematics
List_of_unsolved_problems_in_mathematics
Point set triangulation minimizing total length
related line of research finds large subgraphs of the minimum-weight triangulation by using circle-based β-skeletons, the geometric graphs formed by including
Minimum-weight_triangulation
American actress (born 1992)
Tony-nominated musical Mean Girls, for which she received an Outer Critics Circle Award nomination. Since 2024, she has voiced Charlie Morningstar in the
Erika_Henningsen
three dimensions, see Hiyoshi (2007). Circle-based β-skeletons have been used to find subgraphs of the minimum weight triangulation of a point set: for
Beta_skeleton
Files on Jeffrey Epstein and his affiliates
and convicted child sex offender Jeffrey Epstein, including his social circle of public figures, politicians, and celebrities. The files include documents
Epstein_files
Characteristic of conic sections
section deviates from being circular. In particular: The eccentricity of a circle is 0. The eccentricity of a non-circular ellipse is between 0 and 1. The
Eccentricity_(mathematics)
Lincoln has trouble keeping his sisters' visit to the McBride residence to a minimum when they hear about it. 29 29 "Save the Date" Karla Sakas Shropshire Jordan
List of The Loud House episodes
List_of_The_Loud_House_episodes
Area of discrete mathematics
intersection of a circle packing is a coin graph, where a vertex and an edge represent a circle and every pair of tangent circles; by Koebe–Andreev–Thurston
Graph_theory
Rotating circular machine part with teeth that mesh with another toothed part
which the line of action intersects the maximum (or minimum for internal pinion) addendum circle of the mating gear. This is also referred to as the start
Gear
Similarity measure for number sequences
B)^{2}\right)}}.} This form of the triangle inequality can be used to bound the minimum and maximum similarity of two objects A and B if the similarities
Cosine_similarity
Binary star system in the constellation Reticulum
activity with a ~7.9-year cycle, which may indicate it is in a Maunder Minimum state. Although the kinematics of this system suggest that they belong
Zeta_Reticuli
Neighborhood of Los Angeles in California, United States
Brentwood Circle: a gated community east of Barrington and north of Sunset that was created when the Getty Museum was built. Brentwood Glen: an area bounded by
Brentwood,_Los_Angeles
- short for change of pace. A variety of this pitch is the circle change, where a circle is formed using the thumb and index finger on the last third
Glossary_of_baseball_terms
Israeli grassroots movement
justice has been called a strength. The movement has nine chapters, called "circles", across Israel: in the Sharon, the Triangle, and in the Negev, in the
Standing_Together_(movement)
Subset of a function's domain on which its value is equal
theorem, the boundness of some non-empty sublevel set and the lower-semicontinuity of the function implies that a function attains its minimum. The convexity
Level_set
Triangulation method
there is no Delaunay triangulation. For four or more points on the same circle (e.g., the vertices of a rectangle) the Delaunay triangulation is not unique:
Delaunay_triangulation
Quantum mechanics concept
indicating that in some cases, there are no bound states. The minimum depth of the potential well for which the bound state first appears at E = 0 {\displaystyle
Finite_potential_well
Curved triangle with constant width
width, the simplest and best known curve of constant width other than the circle. It is formed from the intersection of three equally sized circular disks
Reuleaux_triangle
Mountain range in eastern Russia
of their area is above the Arctic Circle. The climate is one of the harshest in the Russian Federation, with minimum absolute temperatures reaching −73 °C
Chukotka_Mountains
Non-orientable surface with one edge
The Sudanese Möbius strip was constructed as a minimal surface bounded by a great circle in a 3-sphere, but there is also a unique complete (boundaryless)
Möbius_strip
Type of non-Euclidean geometry
terminate on the boundary circle at non-orthogonal angles. The Poincaré half-plane model takes one-half of the Euclidean plane, bounded by a line B of the plane
Hyperbolic_geometry
Relation between graph coloring and crossings
combining the fact that every minimal n {\displaystyle n} -chromatic graph has minimum degree at least n − 1 {\displaystyle n-1} (because otherwise greedy coloring
Albertson_conjecture
Graph formed by touching unit circles
graph of unit circles. It is formed from a collection of unit circles that do not cross each other, by creating a vertex for each circle and an edge for
Penny_graph
Ethno-cultural region in Asia
Archived from the original on April 1, 2009. Retrieved May 16, 2009. "Circle of Blue, 8 May 2008 China, Tibet, and the strategic power of water". Circleofblue
Tibet
repeated rapes with some women being raped as many as 60 to 70 times. A minimum of 100,000 women are believed to have been raped in Berlin, based on surging
Wartime_sexual_violence
Point where the derivative of a function is zero or undefined (in certain cases)
projection parallel to the y-axis. For example, the critical points of the unit circle of equation x 2 + y 2 − 1 = 0 {\displaystyle x^{2}+y^{2}-1=0} are (0, 1)
Critical_point_(mathematics)
Decision rule used for minimizing the possible loss for a worst-case scenario
When dealing with gains, it is referred to as "maximin" – to maximize the minimum gain. Originally formulated for several-player zero-sum game theory, covering
Minimax
Country in South Asia
of the arc cut out by an angle θ < π {\displaystyle \theta <\pi } on a circle of radius r, in other words the number 2 r sin ( θ / 2 ) {\displaystyle
India
circulus in probando circle made in testing [a premise] Circular reasoning. Similar term to circulus vitiosus. circulus vitiosus vicious circle In logic, begging
List_of_Latin_phrases_(full)
Train operating company in the United Kingdom
valid ticket would be charged a minimum fare of £10, the aim being to reduce fare evasion. As an exception, the minimum fare would not apply where there
ScotRail
Dutch humanist (c. 1466–1536)
European religious reformations and relocated regularly. He influenced a large circle of friends, scholars and correspondents including kings and popes. He developed
Erasmus
1969 film directed by John Schlesinger
Retrieved July 5, 2021. "1969 New York Film Critics Circle Awards". New York Film Critics Circle. Retrieved June 3, 2021. "Film Hall of Fame Productions"
Midnight_Cowboy
Colombian serial killer and sex offender (1957–2023)
the autumn of 1980, Garavito was estimated to have raped and tortured a minimum of 200 minors, before committing the rape, torture, mutilation, and murder
Luis_Garavito
Elementary particle involved with rest mass
tachyons exist. Once a tachyonic field such as the Higgs field reaches the minimum of the potential, its quanta are not tachyons any more but rather are ordinary
Higgs_boson
Optimization algorithm
toward the local minimum. With this observation in mind, one starts with a guess x 0 {\displaystyle \mathbf {x} _{0}} for a local minimum of f {\displaystyle
Gradient_descent
Set of points equidistant from a center
(from Ancient Greek σφαῖρα (sphaîra) 'ball') is a surface analogous to the circle, a curve. In solid geometry, a sphere is the set of points that are all
Sphere
Type of mathematical space
whereas every real-valued function on a finite set is bounded and attains its maximum and minimum, every continuous real-valued function on a compact space
Compact_space
Single yellow-hued star in the constellation Cetus
that the star could be in a low-activity state analogous to a Maunder Minimum—a historical period, associated with the Little Ice Age in Europe, when
Tau_Ceti
on board. The pilot took on 13 unauthorized passengers and flew below minimum safety altitude due to poor navigational accuracy and procedural shortcuts
List of accidents and incidents involving commercial aircraft
List_of_accidents_and_incidents_involving_commercial_aircraft
American politician (1917–2010)
covers "Don't Let Your Sweet Love Die", a Zeke Manners song, and "Will the Circle Be Unbroken". He had performed at the Kennedy Center, on the Grand Ole Opry
Robert_Byrd
Sequence of locally optimal choices
Malfatti's problem of finding three disjoint circles within a given triangle that maximize the total area of the circles; it is conjectured that the same greedy
Greedy_algorithm
Line formed by the real numbers
dense and has the least-upper-bound property. In addition to the above properties, the real line has no maximum or minimum element. It also has a countable
Number_line
1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D, E, F. Computing – Unicode: The minimum possible size of a Unicode block is 16 contiguous code points (i.e., U+abcde0
Orders_of_magnitude_(numbers)
MINIMUM BOUNDING-CIRCLE
MINIMUM BOUNDING-CIRCLE
Surname or Lastname
English
English : from the late Old English personal name Golding.
Girl/Female
English, Hindu, Indian, Marathi
Small Daughter
Boy/Male
Tamil
Physical bonding
Male
Chinese
righteous sounding.
Girl/Female
Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Sanskrit, Tamil, Telugu
Love; Bonding
Boy/Male
Tamil
Madhughosh | மதà¯à®•à¯‹à®·
Sweet sounding
Madhughosh | மதà¯à®•à¯‹à®·
Surname or Lastname
English
English : variant of Boulding, a patronymic from the Germanic personal name Baldo, a short form of any of the various compound names with the first element bald ‘bold’.
Surname or Lastname
English and German
English and German : patronymic from Bold as a personal name.Danish : habitational name from a place so named in Jutland.
Boy/Male
Hindu, Indian, Kannada, Malayalam, Marathi, Telugu
Physical Bonding
Girl/Female
Arabic
Pounding; Generous
Boy/Male
British, English
Free
Surname or Lastname
English
English : variant of Blanton.
Boy/Male
Arabic
Wounding; Cutter
Boy/Male
Hindu
Sweet sounding
Girl/Female
Christian, Gujarati, Hindu, Indian, Kannada, Marathi, Sindhi, Telugu
Wished-for Child
Boy/Male
Arabic
Wounding; Cutter
Surname or Lastname
English
English : nickname from some fancied resemblance to the songbird (Emberiza spp.).German : patronymic from an unexplained Frisian-Lower Saxon personal name, or a derivative of Bunt- (see Bunten).Sarah Bunting (1686–1762), born in Matlock, Derbyshire, became a noted Quaker minister in Cross Wicks, NJ. It is believed but not certain that other members of her family, including her father, John Bunting, came with her to NJ sometime before 1704, when her marriage to William Murfin is recorded.
Surname or Lastname
English (Suffolk)
English (Suffolk) : variant of Browning.
Female
Chinese
simple sounding.
Girl/Female
Gujarati, Hindu, Indian
Bonding; Love
MINIMUM BOUNDING-CIRCLE
MINIMUM BOUNDING-CIRCLE
Girl/Female
Indian, Tamil
Goddess Durga
Boy/Male
Indian, Punjabi, Sikh
Love of Adoration; Absorbed in Gem of the Holy Word
Boy/Male
Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Sindhi, Tamil, Telugu
Lord of the Soul
Surname or Lastname
English (Yorkshire)
English (Yorkshire) : possibly a habitational name from Goosnargh in Lancashire, so named from the Old Irish personal name GussÄn + Old Norse erg ‘hill pasture’.Probably an Americanized form of German Gossner or Gössner, variants of Gassner.
Girl/Female
American, Christian, Indian
Dweller of the Plain; Field; Plain; Battlefield
Boy/Male
Tamil
A musical instrument
Girl/Female
Indian
One who is noble, Achiever, Excited, Finder
Surname or Lastname
English, Scottish, and Irish (of Norman origin); also French
English, Scottish, and Irish (of Norman origin); also French : nickname from Middle English, Old French noble ‘high-born’, ‘distinguished’, ‘illustrious’ (Latin nobilis), denoting someone of lofty birth or character, or perhaps also ironically someone of low station. The surname has been established in Ireland since the 13th century, but was re-introduced in the 17th century and is now found mainly in Ulster.Jewish (Ashkenazic) : Americanized form of Knöbel, a surname derived from an archaic German word for a servant. This was the name of a famous rabbinical family which moved from Wiener Neustadt to Sanok in Galicia in the 17th century; several members subsequently emigrated to the U.S.Jewish : Americanized form of Nobel.German : probably a Huguenot name (see 1).Possibly an altered form of German Knobel or Nobel.
Female
Hebrew
Variant spelling of Hebrew Gila, GILAH means "joy."
Girl/Female
Indian
Blessings
MINIMUM BOUNDING-CIRCLE
MINIMUM BOUNDING-CIRCLE
MINIMUM BOUNDING-CIRCLE
MINIMUM BOUNDING-CIRCLE
MINIMUM BOUNDING-CIRCLE
pl.
of Minimus
n.
The greatest quantity or value attainable in a given case; or, the greatest value attained by a quantity which first increases and then begins to decrease; the highest point or degree; -- opposed to minimum.
n.
A self-registering thermometer, especially one that registers the maximum and minimum during long periods.
n.
That by which anything is prepared for use, or set off to advantage; equipment; embellishment; setting; as, the mounting of a sword or diamond.
n.
In a curve referred to polar coordinates, any point for which the radius vector is a maximum or minimum.
n.
A minim.
n.
Minimum.
n.
measurement by sounding; also, the depth so ascertained.
p. p & a.
Made obligatory; imposed as a duty; binding.
n.
The least quantity assignable, admissible, or possible, in a given case; hence, a thing of small consequence; -- opposed to maximum.
n.
Anything very minute; as, the minims of existence; -- applied to animalcula; and the like.
n.
The sand, shells, or the like, that are brought up by the sounding lead when it has touched bottom.
a.
Greatest in quantity or highest in degree attainable or attained; as, a maximum consumption of fuel; maximum pressure; maximum heat.
n.
Any place or part of the ocean, or other water, where a sounding line will reach the bottom; -- usually in the plural.
a.
Making or emitting sound; hence, sonorous; as, sounding words.
a.
Making blind or as if blind; depriving of sight or of understanding; obscuring; as, blinding tears; blinding snow.
n.
See Sound boarding, under Sound, a noise.
pl.
of Minimum
a.
Pompous; noisy; ostentatious; as, high-sounding words or titles.