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Topics referred to by the same term
Look up concave or concavity in Wiktionary, the free dictionary. Concave or concavity may refer to: Concave lens Concave mirror Concave function, the
Concave
Negative of a convex function
In mathematics, a concave function is one for which the function value at any convex combination of elements in the domain is greater than or equal to
Concave_function
Optical device which transmits and refracts light
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
Lens
Simple polygon which is not convex
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
Concave_polygon
Disproven hypothesis
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
Hollow_Earth
Topics referred to by the same term
Log-concave may refer to: Logarithmically concave function Logarithmically concave measure Logarithmically concave sequence This disambiguation page lists
Log-concave
Generalization of the normal-form game
In game theory, a concave game is a generalization of the normal-form game defined by Rosen. He extended the theorem on existence of a Nash equilibrium
Concave_game
Type of confectionery
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
Concave_cake
Type of mathematical function
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
Logarithmically concave function
Logarithmically_concave_function
Violently rotating column of air
A tornado, also known as a twister, is a rapidly rotating column of air that extends vertically from the surface of the Earth to the base of a cumulonimbus
Tornado
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
Logarithmically concave measure
Logarithmically_concave_measure
Congenital deformity of the chest
widely known as the Nuss procedure, involves slipping in one or more concave steel bars into the chest, underneath the sternum. The bar is flipped to
Pectus_excavatum
Type of sequence of numbers
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
Logarithmically concave sequence
Logarithmically_concave_sequence
Real function with secant line between points above the graph itself
{\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
Convex_function
Mirror with a curved reflecting surface
reflecting surface. The surface may be either convex (bulging outward) or concave (recessed inward). Most curved mirrors have surfaces that are shaped like
Curved_mirror
In geometry, set whose intersection with every line is a single line segment
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
Convex_set
Lithograph by Dutch artist M. C. Escher
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
Convex_and_Concave
Four-sided polygon
(self-intersecting, or crossed). Simple quadrilaterals are either convex or concave. The interior angles of a simple (and planar) quadrilateral ABCD add up
Quadrilateral
Plane figure bounded by line segments
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
Polygon
Subfield of mathematical optimization
minimizing convex functions over convex sets (or, equivalently, maximizing concave functions over convex sets). Many classes of convex optimization problems
Convex_optimization
Polyhedron with 12 faces
to go past these limiting cases, creating concave or nonconvex pyritohedra. The endo-dodecahedron is concave and equilateral; it can tessellate space with
Dodecahedron
Optical component which splits light into several beams
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
Diffraction_grating
Mathematical measure of how much a curve or surface deviates from flatness
In mathematics, curvature is any of several strongly related concepts in geometry that intuitively measure the amount by which a curve deviates from being
Curvature
Gives conditions that guarantee the max–min inequality holds with equality
convex, and to functions that are concave in their first argument and convex in their second argument (known as concave-convex functions). Formally, let
Minimax_theorem
Overhead interior surface
replacing it. Other types of ceiling include the cathedral ceiling, the concave or barrel-shaped ceiling, the stretched ceiling and the coffered ceiling
Ceiling
Point where the curvature of a curve changes sign
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
Inflection_point
Visual artifacts in ivory cross-sections
form angles, which appear in two forms: concave angles and convex angle. Concave angles have slightly concave sides and open to the medial (inner) area
Schreger_line
Curve in a liquid's surface due to adhesion to the container walls
surface of the container or another object, produced by surface tension. A concave meniscus occurs when the attraction between the particles of the liquid
Meniscus_(liquid)
Toy lenses for Nikon SLR cameras
with either the convex or concave side facing the object. It is possible to thread the cemented doublet, with its concave side facing the object, into
Nikon_Amusing_Lenses
Species of amphibian
Odorrana tormota, also known as the concave-eared torrent frog, is a species of frog native to China. Its distribution is restricted to Huangshan Mountains
Concave-eared_torrent_frog
Mathematical function with convex lower level sets
the Gaussian distribution are common examples of quasi-concave functions that are not concave. A function that is both quasiconvex and quasiconcave is
Quasiconvex_function
Species of moth
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
Pseudopostega_concava
Shallowly concave bend or curve in a coastline, river, or other geographical feature
In geography, a bight (/baɪt/) is a concave bend or curvature in a coastline, river or other geographical feature, or it may refer to a very open bay
Bight_(geography)
Function in mathematical analysis
functions are used in the study of majorization. A function f is 'Schur-concave' if its negative, −f, is Schur-convex. Every function that is convex and
Schur-convex_function
Product of the principal curvatures of a surface
In differential geometry, the Gaussian curvature or Gauss curvature (symbol Κ, named after Carl Friedrich Gauss) of a smooth surface in three-dimensional
Gaussian_curvature
Pentagon with all sides equal but the angles may not be equal
themselves are called simple, and they can be classified as either convex or concave. We here use the term "stellated" to refer to the ones that intersect themselves
Equilateral_pentagon
program in which f is nonnegative and concave, g is positive and convex, and S is a convex set is called a concave fractional program. If g is affine, f
Fractional_programming
Property of a planar simple closed curve
the sequence F-G-H is concave. The following table illustrates rules for determining whether a sequence of points is convex, concave, or flat: Convex hull
Curve_orientation
Disc-shaped frying pan originating from the Indian subcontinent
a metal cooking utensil. The tawa is round and is usually curved: the concave side is used as a wok or frying pan, the convex side for cooking flatbreads
Tava
English polymath (1642–1727)
presented a burning mirror to the Royal Society. It consisted of seven concave glass mirrors, each about one foot in diameter. It is estimated that it
Isaac_Newton
Name for valley commonly used in Ireland, Scotland and the Isle of Man
glen is a valley, typically one that is long and bounded by gently sloped concave sides, unlike a ravine, which is deep and bounded by steep slopes. The
Glen
Polyhedron with 6 faces
Three further topologically distinct hexahedra can only be realised as concave acoptic polyhedra. These are defined as the surfaces formed by non-crossing
Hexahedron
One of a series of curves in a channel of a matured stream
stream. It is produced as a watercourse erodes the sediments of an outer, concave bank (cut bank or river cliff) and deposits sediments on an inner, convex
Meander
convex-concave if it is a convex function of x for any fixed y, and a concave function of y for any fixed x. When f is continuous and convex-concave, and
Min-max_optimization
Artificial heart valve
convexo-concave valves implanted fractured in this way, with the patient dying in two-thirds of those cases. The FDA withdrew approval of the convexo-concave
Björk–Shiley_valve
Polyhedron with 6 rhombic and 6 trapezoidal faces
dodecahedron with 6 rhombic and 6 trapezoidal faces. It has D3h symmetry. A concave form can be constructed with an identical net, seen as excavating trigonal
Trapezo-rhombic_dodecahedron
Theoretical orbital weapon
(German: Sonnengewehr) is a theoretical orbital weapon, which makes use of a concave mirror mounted on a satellite, to concentrate sunlight onto a small area
Sun_gun
Polyhedron formed by joining mirroring pyramids base-to-base
{\pi }{n}}.} A concave bipyramid has a concave polygon base, and one example is a concave tetragonal bipyramid or an irregular concave octahedron. A bipyramid
Bipyramid
Optical device that projects an image or moving images onto a surface
phantasmagoria shows to project moving images of ghosts. Camera obscura Concave mirror Opaque projector Overhead projector Document camera Shadow projector
Projector
Measure of how strongly an optical system converges or diverges light
will be focused to a single spot. For a diverging lens (for example a concave lens), the focal length is negative and is the distance to the point from
Focal_length
Indentation on the hipbone
The iliac fossa is a large, smooth, concave surface on the internal surface of the ilium (part of the three fused bones making the hip bone). The iliac
Iliac_fossa
Integral inequality
with log-concave distribution. Since the product of two log-concave functions is log-concave, the joint distribution of (X,Y) is also log-concave. Log-concavity
Prékopa–Leindler_inequality
Section of the human skull
portions. The superior or temporal portion, convex from above downward, concave from before backward, forms a part of the temporal fossa, and gives attachment
Infratemporal_crest
Algorithm for clipping polygons
polygon that is entirely visible. Note that if the subject polygon was concave at vertices outside the clipping polygon, the new polygon may have coincident
Sutherland–Hodgman_algorithm
Graphical symbol or pictogram used to point or indicate direction
indicate direction. In its simplest form, an arrow is a triangle, chevron, or concave kite, usually affixed to a line segment or rectangle, and in more complex
Arrow_(symbol)
Type of pasta
the result is then inverted over the thumb to give the characteristic concave form. The name orecchiette (Italian pronunciation: [orekˈkjɛtte]; singular:
Orecchiette
Medial bone from forearm
Its upper surface is smooth, concave, and forms the lower part of the semilunar notch. Its antero-inferior surface is concave, and marked by a rough impression
Ulna
Method of triangulating polygons
triangulated. Polygons with only one concave vertex can always be fan triangulated, as long as the diagonals are drawn from the concave vertex. It can be known if
Fan_triangulation
Function in mathematical analysis
a point in terms of moduli of continuity. A special role is played by concave moduli of continuity, especially in connection with extension properties
Modulus_of_continuity
Woodworking hand tool
concern than a rapid result. The thin blade lends itself to create complex concave or convex curves. Unlike a spokeshave, it does not have a closed mouth
Drawknife
Regular non-convex polygon
edges that do not generate new vertices, and the other one to the isotoxal concave simple polygons. Polygrams include polygons like the pentagram, but also
Star_polygon
Convex-concave gold disc
The Curmsun Disc is a purportedly Viking Age convex-concave gold disc that gained scholarly attention in 2014. The disc, which is apparently dedicated
Curmsun_Disc
Large depression in the upper extremity of the ulna forming part of the elbow joint
medial portion is the larger, and is slightly concave transversely; the lateral is convex above, slightly concave below. "Trochlear | Definition of Trochlear
Trochlear_notch
Concept in convex analysis
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
Proper_convex_function
Shape with three sides
edges of a circular triangle may be either convex (bending outward) or concave (bending inward). The intersection of three disks forms a circular triangle
Triangle
Type of polearm with a curved single-edged blade
polearm with a curving single-edged blade with the cutting edge on the concave side of the blade. Its blade bears a superficial resemblance to that of
War_scythe
Clade of reptiles
surfaces of the ischium with the ilium and the pubis are separated by a large concave surface (on the upper side of the ischium a part of the open hip joint
Dinosaur
Partial order on matrices
to generalize the definitions of monotone and concave/convex scalar functions to monotone and concave/convex Hermitian valued functions. These functions
Loewner_order
Mathematical operation
The graph of a function with a positive second derivative is upwardly concave, while the graph of a function with a negative second derivative curves
Second_derivative
Combination of concave and convex mirrors
A Cassegrain reflector is a combination of a primary concave mirror and a secondary convex mirror, often used in optical telescopes and radio antennas
Cassegrain_reflector
Cavity where the thigh bone (femur) articulates with the pelvis
(/ˌæsɪˈtæbjələm/; pl.: acetabula), also called the cotyloid cavity, is a concave surface of the pelvis. The head of the femur meets with the pelvis at the
Acetabulum
Byzantine coin
form from the original solidus, becoming wider and thinner, as well as concave (scyphate) in form. Later usually shortened to stamenon (Greek: στάμενον)
Histamenon
Shaped charge designed to penetrate armor effectively
liner/plate, has approximately the same weight of the liner/plate. The concave side of the liner/plate is aimed at the target. An EFP's penetration is
Explosively_formed_penetrator
Polygon in which all angles are right
interior are called concave. A knob is an edge whose two endpoints are convex corners. An antiknob is an edge whose two endpoints are concave corners. A rectilinear
Rectilinear_polygon
Concave architectural moulding
A cavetto is a concave moulding with a regular curved profile that is part of a circle, widely used in architecture as well as furniture, picture frames
Cavetto
Largest living land animal
temperature as well as in communication. African elephants have larger ears and concave backs, whereas Asian elephants have smaller ears and convex or level backs
Elephant
Applying convex curvature to a surface in architecture
allegedly perceive that the middle of the column was diminishing in a concave curve halfway up the column, and entasis corrects this. The word we apply
Entasis
Species of horned frog
distribution, Boulenophrys parva is known under many common names, including concave-crowned horned toad, lesser stream horned frog, mountain horned frog, brown
Boulenophrys_parva
Fundamental trigonometric functions
0<x<{\frac {\pi }{2}}} + {\displaystyle +} Increasing Concave + {\displaystyle +} Decreasing Concave 2nd quadrant, II 90 ∘ < x < 180 ∘ {\displaystyle 90^{\circ
Sine_and_cosine
Click consonant sound
and in the Damin ritual jargon of Australia. The tongue is more or less concave (depending on the language), and is pulled down rather than back as in
Alveolar_click
Rounding of an interior or exterior corner
on a corner. Fillet geometry, when on an interior corner is a line of concave function, whereas a fillet on an exterior corner is a line of convex function
Fillet_(mechanics)
Concave variant of uterine cavity shape
of a uterine anomaly or variation where the uterine cavity displays a concave contour towards the fundus. Normally the uterine cavity is straight or
Arcuate_uterus
Species of bear
be distinguished by their shoulder hump, larger size and broader, more concave skull.[page needed] In his book The Great Bear Almanac, Gary Brown summarized
American_black_bear
Type of consonant articulation
-roʊ-/ ) consonant is a coronal consonant where the tongue has a flat, concave, or even curled shape, and is articulated between the alveolar ridge and
Retroflex_consonant
Facial bone
is concave, presenting medially a rough, triangular area, for articulation with the maxilla (articular surface), and laterally a smooth, concave surface
Zygomatic_bone
Topics referred to by the same term
Look up innie in Wiktionary, the free dictionary. An innie is a concave navel. Innie may also refer to: Innie, a colloquial name for a kind of vulva Innie
Innie_(disambiguation)
Star polygon
in their respective dual positions. An octagonal star can be seen as a concave hexadecagon, with internal intersecting geometry erased. It can also be
Octagram
S-curved form used in woodworking, moulding, textile weaving, and architecture
combination of two curves that, as a result of a point of inflection from concave to convex or vice versa, have ends of the overall curve that point in opposite
Ogee
Line-breaking algorithm used in the TeX typesetting package
GitHub. Retrieved 2024-03-30. Wilber, Robert (1988-09-01). "The concave least-weight subsequence problem revisited". Journal of Algorithms. 9 (3):
Knuth–Plass line-breaking algorithm
Knuth–Plass_line-breaking_algorithm
Diagnostic device
examination of the ear, nose and throat (ENT). It comprises a circular concave mirror, with a small hole in the middle, and is attached to a headband
Head_mirror
Printed circuit board feature
While a typical shape of a teardrop is straight-line tapering, they may be concave. This type of teardrop is also called filleting or straight. To produce
Teardrop_(electronics)
Platform board used in the sport of surfing
bottom of the board, termed concaves. These concaves have different uses and vary among different types of surfboards. Most concaves on the modern shortboard
Surfboard
Type of lens
for vision correction, aspheric lenses can be categorized as convex or concave. Convex aspheric curvatures are used in many presbyopic vari-focal lenses
Aspheric_lens
Artistic tradition
ceilings and overcame the problems of applying linear perspective to the concave surfaces of domes in order to dissolve the architecture and create illusions
Illusionistic ceiling painting
Illusionistic_ceiling_painting
Blade shape
forward third of the blade "clipped" off. The clip itself can be straight or concave. Traditionally, the spine or unsharpened edge of the knife begins at the
Clip_point
Woodworking hand tool
– Used for flat and concaved surfaces and curves Concave – For use on convexed surfaces and curves Convex – For use on concaved surfaces and curves Rounded
Spokeshave
Art and practice of creating images by recording light
the art of photography since al-Haitham's experiments with convex and concave mirrors and his invention of the "pinhole camera" whereby the inverted
Photography
Polyhedron with five faces
Above: a concave pentahedron viewed from its apex. Below: the same object viewed from its concave face.
Pentahedron
Primary game controller for the Xbox 360
transforming D-pad, concave analog stick tops and standard colored face buttons. Black S controllers with a transforming D-pad, concave analog stick tops
Xbox_360_controller
Right-angled non-convex polyhedron
physical models of the polyhedron seem to be flexible. Replacing the long concave-dihedral edges of Jessen's icosahedron by rigid struts, and the shorter
Jessen's_icosahedron
CONCAVE
CONCAVE
CONCAVE
CONCAVE
Male
French
Old French form of Old High German Baldawin, BALDOIN means "brave friend."
Boy/Male
Muslim
Tamer
Boy/Male
Tamil
Raunak | ரோஉஂநக , ரௌநகÂ
Light or happiness
Boy/Male
Indian, Punjabi, Sikh
Tranquillity in Naam
Girl/Female
Australian, Dutch, French, Greek, Latin, Portuguese
Adored; From Sebastia; Returning; Helper; Distinguished
Girl/Female
Hindu, Indian
Big Moon; Full Moon
Boy/Male
Indian, Traditional
Lovable Light
Boy/Male
Australian, Biblical, Italian
Gift of God; Courageous and Praise; Form of Thaddeus
Boy/Male
Indian, Punjabi, Sikh
Safeguard of Honour
Boy/Male
American, British, English
Cord-maker
CONCAVE
CONCAVE
CONCAVE
CONCAVE
CONCAVE
n.
Anything saddle-backed; esp., a hill or ridge having a concave outline at the top.
a.
Concave or hollow on both sides; double concave.
n.
A curve, traced by a point in the radius, or radius produced, of a circle which rolls upon the concave side of a fixed circle. See Hypocycloid, Epicycloid, and Trochoid.
n.
A concave molding used especially in classical architecture.
a.
Slightly concave.
a.
Plane or flat on one side, and concave on the other; as, a plano-concave lens. See Lens.
n.
A cuban trogon (Priotelus temnurus) having a serrated bill and a tail concave at the end.
n.
A hollow or concave utensil for holding anything; a hollow receptacle of any kind, as a hogshead, a barrel, a firkin, a bottle, a kettle, a cup, a bowl, etc.
a.
Arched; concave.
n.
A curve traced by a point in the circumference of a circle which rolls on the concave side in the fixed circle. Cf. Epicycloid, and Trochoid.
n.
A kind of molding, concave at the bottom and convex at the top; -- usually called an ogee.
a.
Hollow and curved or rounded; vaulted; -- said of the interior of a curved surface or line, as of the curve of the of the inner surface of an eggshell, in opposition to convex; as, a concave mirror; the concave arch of the sky.
a.
Arched; concave; as, a vaulted roof.
v. t.
To make hollow or concave.
a.
Having a back like that of roach; -- said of a horse whose back a convex instead of a concave curve.
n.
An annular molding whose section is concave, like the edge of a pulley; -- called also scotia.
a.
Convex on one side, and concave on the other. The curves of the convex and concave sides may be alike or may be different. See Meniscus.
a.
Three sided, the sides being plane or concave; having three salient angles or edges; trigonal.
a.
Having the outline of the upper part concave like the seat of a saddle.
imp. & p. p.
of Concave