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geometry, a maximal surface is a certain kind of submanifold of a Lorentzian manifold. Precisely, given a Lorentzian manifold (M, g), a maximal surface is a
Maximal_surface
Surface with vanishing affine mean curvature
In affine differential geometry, an affine maximal surface is a locally strongly convex hypersurface in an equiaffine manifold whose affine mean curvature
Affine_maximal_surface
Italian-born American mathematician (1923–2023)
classical Bernstein problem for minimal surfaces, Calabi considered the analogous problem for maximal surfaces, settling the question in low dimensions
Eugenio_Calabi
Measure of a two-dimensional surface
structures. For different applications a minimal or maximal surface area may be desired. The surface area of an organism is important in several considerations
Surface_area
One-dimensional complex manifold
Retrieved 2025-01-23. Greenberg, L. (1974). "Maximal groups and signatures". Discontinuous Groups and Riemann Surfaces: Proceedings of the 1973 Conference at
Riemann_surface
Algebraic surface of degree 12
geometry, a Sarti surface is a degree-12 nodal surface with 600 nodes, found by Alessandra Sarti in 1999 and published by her in 2001. The maximal possible number
Sarti_surface
nodal surface of given degree. The following table gives some known upper and lower bounds for the maximal number of nodes on a complex surface of given
Nodal_surface
Minimal surface
https://doi.org/10.3390/math6120281 E. Güler, The algebraic surfaces of the Enneper family of maximal surfaces in three dimensional Minkowski space. Axioms. 2022;
Enneper_surface
Convergent Zone (ITCZ), a narrow tropical area of wind convergence and maximal surface moist static energy. The Asian-Australian monsoons are caused by the
Tropical_Warm_Pool
etc. Affine geometry of curves Affine focal set Affine sphere Affine maximal surface Su, Buchin (1983), Affine Differential Geometry, Harwood Academic,
Affine_differential_geometry
Electrodiagnostic medicine technique
activated. The most common way that can be determined is by performing a maximal voluntary contraction (MVC) of the muscle that is being tested. Each muscle
Electromyography
Graph that can be embedded in the plane
chordal graphs respectively. Every maximal planar graph on more than 3 vertices is at least 3-connected. If a maximal planar graph has v vertices with v
Planar_graph
Spectroscopic technique
resonance with ωp, thus the enhancement at both stages cannot be maximal. The choice of surface metal is also dictated by the plasmon resonance frequency. Visible
Surface-enhanced Raman spectroscopy
Surface-enhanced_Raman_spectroscopy
Topological space that locally resembles Euclidean space
atlas is called the maximal atlas (i.e. an equivalence class containing that given atlas). Unlike an ordinary atlas, the maximal atlas of a given manifold
Manifold
Region outside of a rotating black hole's event horizon
produce a more pumpkin-shaped ergosphere.[citation needed] The equatorial (maximal) radius of an ergosphere is the Schwarzschild radius, the radius of a non-rotating
Ergosphere
Mathematics of smooth surfaces
geometry. Each of the two non-compact surfaces can be identified with the quotient G / K where K is a maximal compact subgroup of G. Here K is isomorphic
Differential geometry of surfaces
Differential_geometry_of_surfaces
Irreducible nodal surface
surface, first studied by Ernst Kummer (1864), is an irreducible nodal surface of degree 4 in P 3 {\displaystyle \mathbb {P} ^{3}} with the maximal possible
Kummer_surface
1999 animated TV series
others. Following their victory in the Beast Wars, four of the surviving Maximals – Optimus Primal, Cheetor, Blackarachnia and Rattrap – finally return to
Beast_Machines:_Transformers
Mathematical measure of how much a curve or surface deviates from flatness
it depends on the choice of a direction on the surface or manifold. This leads to the concepts of maximal curvature, minimal curvature, and mean curvature
Curvature
Chinese-American mathematician (born 1949)
restriction in the Lorentzian analogue (the Bernstein problem for maximal surfaces): any spacelike hypersurface of multidimensional Minkowski space which
Shing-Tung_Yau
Topics referred to by the same term
resolution and acutance Critical focus or critical sharpness, the area of maximal optical resolution Sharpness of vision, or visual acuity A bitterness of
Sharpness
Angle between a liquid–vapor interface and a solid surface
contact angle hysteresis is often observed, ranging from the advancing (maximal) contact angle to the receding (minimal) contact angle. The equilibrium
Contact_angle
Maximal and minimal curvature at a point of a surface
differential geometry, the two principal curvatures at a given point of a surface are the maximum and minimum values of the curvature as expressed by the
Principal_curvature
to the surface of the ocean. The following Maximals have appeared in other media adaptations outside of the toyline: Air Hammer is a Maximal Fuzor whose
List_of_Beast_Wars_characters
Doughnut-shaped surface of revolution
bottle Loewner's torus inequality Maximal torus Period lattice Real projective plane Sphere Spiric section Surface (topology) Toric lens Toric section
Torus
Speed of the heartbeat, measured in beats per minute
finding negligible effect. The inclusion of physical activity status, maximal oxygen uptake, smoking, body mass index, body weight, or resting heart
Heart_rate
Mathematical classification of surfaces
mathematics, the Enriques–Kodaira classification groups compact complex surfaces into ten classes, each parametrized by a moduli space. For most of the
Enriques–Kodaira classification
Enriques–Kodaira_classification
precisely 84(g − 1) automorphisms, where g is the genus of the surface. This number is maximal by virtue of Hurwitz's theorem on automorphisms (Hurwitz 1893)
Hurwitz_surface
Geometric figure
a mylar balloon is a surface of revolution. While a sphere is the surface that encloses a maximal volume for a given surface area, the mylar balloon
Mylar_balloon_(geometry)
Possibility of a consistent definition of "clockwise" in a mathematical space
some topological spaces such as real vector spaces, Euclidean spaces, surfaces, and more generally manifolds that allows a consistent definition of "clockwise"
Orientability
Three-holed sphere
homotopic to a boundary component, and the collection is maximal for these properties. A given surface has infinitely many distinct pants decompositions (we
Pair_of_pants_(mathematics)
In mathematics, a Riemann surface
227.95. S2CID 16510851. Schmutz, P. (1993). "Riemann surfaces with shortest geodesic of maximal length". GAFA. 3 (6): 564–631. doi:10.1007/BF01896258
Bolza_surface
Mertens function zero 1262 = maximal number of regions the plane is divided into by drawing 36 circles 1263 = rounded total surface area of a regular tetrahedron
1000_(number)
Non-crossing graph with vertices on outer face
graphs, the subgraphs of series–parallel graphs, and the circle graphs. The maximal outerplanar graphs, those to which no more edges can be added while preserving
Outerplanar_graph
In mathematics a translation surface is a surface obtained from identifying the sides of a polygon in the Euclidean plane by translations. An equivalent
Translation_surface
Mathematical object in algebraic geometry
ISBN 9783540721857. Miyaoka, Yoichi (1984). "The maximal number of quotient singularities on surfaces with given numerical invariants". Mathematische Annalen
Endrass_surface
Loss of consciousness at a shallow depth during a dive
Lindholm P, Lundgren CE (2006). "Alveolar gas composition before and after maximal breath-holds in competitive divers". Undersea Hyperb Med. 33 (6): 463–7
Shallow-water_blackout
Phonology of the English language
the maximal onset principle in a way that divides words in a counter-intuitive way; thus the word hardware would be divided /ˈhɑː.dweə/ by the maximal onset
English_phonology
Area of mathematical analysis
and the Fourier transform, while modern harmonic analysis also studies maximal functions, singular integrals, oscillatory integrals, Fourier multipliers
Harmonic_analysis
Australian mathematician
S2CID 55672824. Zbl 0512.53055. Bartnik, Robert (1984). "Existence of maximal surfaces in asymptotically flat spacetimes". Communications in Mathematical
Robert_Bartnik
Algebraic curve
projective space Pn of maximal genus g among irreducible non-degenerate curves of given degree d. Castelnuovo showed that the maximal genus is given by the
Castelnuovo_curve
A surface-wave-sustained discharge is a plasma that is excited by propagation of electromagnetic surface waves. Surface wave plasma sources can be divided
Surface-wave-sustained discharge
Surface-wave-sustained_discharge
Algebraic surface defined by a cubic polynomial
^{3}} . Among singular complex cubic surfaces, Cayley's nodal cubic surface is the unique surface with the maximal number of nodes, 4: w x y + x y z +
Cubic_surface
mathematics, a fake projective plane (or Mumford surface) is one of the 50 complex algebraic surfaces that have the same Betti numbers as the projective
Fake_projective_plane
Property of a mathematical space
is the maximum of the dimensions of its components. It is equal to the maximal length of the chains V 0 ⊊ V 1 ⊊ ⋯ ⊊ V d {\displaystyle V_{0}\subsetneq
Dimension
Bounds the length of geodetic segments in Riemannian manifolds based in Ricci curvature
{\displaystyle \pi r} . In the special case of surfaces, this result was proved by Ossian Bonnet in 1855. For a surface, the Gauss, sectional, and Ricci curvatures
Myers's_theorem
Change of state of matter from a gas phase into a liquid phase
saturation limit when the molecular density in the gas phase reaches its maximal threshold. Vapor cooling and compressing equipment that collects condensed
Condensation
Locus of the zeros of a polynomial of degree two
In mathematics, a quadric or quadric surface is a generalization of conic sections (ellipses, parabolas, and hyperbolas). In three-dimensional space,
Quadric
Lagoon in Albania
strip, consisting of an alluvial dune. It has a surface area of 41.8 km2 (16.1 sq mi) with a maximal depth of 1.5 m (4.9 ft). It is situated within the
Narta_Lagoon
{\displaystyle R} is a smooth, proper arithmetic surface over R {\displaystyle R} . The fiber over any maximal ideal m {\displaystyle {\mathfrak {m}}} is the
Arithmetic_surface
Glacial lake in Province of Varese, Lombardy
which is a subterranean river coming from Lake Ganna. Its maximal depth is 14 m (46 ft). Its surface covers an area of 0,28 km2. The Ghirla Lake is located
Lago_di_Ghirla
Mathematical theory of knots
is usually denoted by t b ( K ) {\displaystyle \mathrm {tb} (K)} . The maximal Thurston–Bennequin number, t b ¯ ( K ) {\displaystyle {\overline {\mathrm
Thurston–Bennequin_number
Three dimensional analogue of uniformization conjecture
group G on X with compact stabilizers. A model geometry is called maximal if G is maximal among groups acting smoothly and transitively on X with compact
Geometrization_conjecture
Lake in Latvia
located in the Krāslava Municipality, has a maximal depth of 24.5 m. At an elevation of 159.4 m, its surface area is 1759 ha (1812 ha with islands). Latvijas
Lake_Sivers
Maximum pulse felt on the chest during heart beat
Wilkins. pp. 357–. ISBN 978-0-7817-8058-2. Visualization of the point of maximal impulse and "S4" on echocardiogram: an observation. Conn Med. 2007 Feb;71(2):85–8
Apex_beat
Color evoked by a single wavelength of light in the visible spectrum
maximal sRGB saturation, given a spectrum of equal radiant power and with the highest brightness as to, when projected onto sRGB, still have maximal saturation
Spectral_color
Second-largest moon of Jupiter
I/(mr^{2})} , where I is the moment of inertia, m the mass, and r the maximal radius. It is 0.4 for a homogenous spherical body, but less than 0.4 if
Callisto_(moon)
Theorem in algebraic geometry
OEIS) can get for a Riemann surface X of genus g is shown below, for 2 ≤ g ≤ 10, along with a surface X0 with |Aut(X0)| maximal. In this range, there only
Hurwitz's automorphisms theorem
Hurwitz's_automorphisms_theorem
space described above. N is maximal with respect to the above two conditions. That is, N is a component of the branched surface minus its branching set.
Branched_surface
Hypothetical object of spacetime
actually reach the white hole's event horizon (though in the case of the maximally extended Schwarzschild solution, discussed below, the white hole event
White_hole
Largest and smallest value taken by a function at a given point
unique, but a poset can have several minimal or maximal elements. If a poset has more than one maximal element, then these elements will not be mutually
Maximum_and_minimum
Loss of consciousness caused by cerebral hypoxia towards the end of a breath-hold dive
Lindholm P, Lundgren CE (2006). "Alveolar gas composition before and after maximal breath-holds in competitive divers". Undersea Hyperb Med. 33 (6): 463–7
Freediving_blackout
Field of algebraic geometry
^{r}}(n))\rightarrow H^{0}({\mathcal {O}}_{C}(n))} are of maximal rank, also known as the maximal rank conjecture. Eric Larson and Isabel Vogt (2022) proved
Brill–Noether_theory
Second planet from the Sun
cloud layer of sulfuric acid that spans the whole planet. At the mean surface level, the atmosphere reaches a temperature of 737 K (464 °C; 867 °F) and
Venus
Portion of a lake below sea level
can be very steep. Lago O'Higgins/San Martín has a surface elevation of 250 meters and a maximal depth of 836 meters, yielding a cryptodepression of
Cryptodepression
Measure of a mathematical object studied in the field of algebraic geometry
the maximal length of the chains p 0 ⊂ p 1 ⊂ … ⊂ p d {\displaystyle p_{0}\subset p_{1}\subset \ldots \subset p_{d}} of prime ideals of A. The maximal Krull
Dimension of an algebraic variety
Dimension_of_an_algebraic_variety
Device in optics that reduces light intensity
allowing the use of a larger aperture) where otherwise not possible due to a maximal shutter speed limit. Instead of reducing the aperture to limit light, the
Neutral-density_filter
Human male external reproductive organ
the penis must be of sufficient length to reach any rival sperm and to maximally fill the vagina. In order to ensure that the female retains the male's
Human_penis
Protein molecule receiving signals for a cell
efficacy). Partial agonists do not activate receptors with maximal efficacy, even with maximal binding, causing partial responses compared to those of full
Receptor_(biochemistry)
Hypothetical mechanism for extracting energy from rotating black holes
mass in the case of an uncharged black hole (assuming the best case of maximal rotation of the black hole). The energy is taken from the rotation of the
Penrose_process
Kneecap, bone covering knee joint
In the adult the articular surface is about 12 cm2 (2 sq in) and covered by hyaline cartilage, which can reach a maximal thickness of 6 mm (1⁄4 in) in
Patella
Earthquake in Mexico
of 19 September at 07:17:50 (CST) with a moment magnitude of 8.0 and a maximal Mercalli intensity of IX (Violent). The event caused serious damage to
1985_Mexico_City_earthquake
Mathematical group of the homotopy classes of loops in a topological space
uses the machinery of the maximal torus and the associated root system. Specifically, let T {\displaystyle T} be a maximal torus in a connected compact
Fundamental_group
Concept in mathematics
particular importance in Riemann surface theory, in connection with surfaces with maximal symmetry, namely the Hurwitz surfaces. The Hurwitz quaternion order
Hurwitz_quaternion_order
Imbalance of electric charges within or on the surface of a material
discharge energy must be sufficient for ignition. Further, because surfaces have a maximal charge density, an area of at least 100 cm2 has to be involved
Static_electricity
Differential geometry measure
\theta } (always containing the normal line) that curvature can vary. The maximal curvature κ 1 {\displaystyle \kappa _{1}} and minimal curvature κ 2 {\displaystyle
Mean_curvature
Superconductive behavior at temperatures much higher than absolute zero
to an experiment where both clean limit (no defects) and dirty limit (maximal defects) were considered simultaneously. Spontaneous magnetization was
High-temperature superconductivity
High-temperature_superconductivity
Tiling of the hyperbolic plane
tiling is the universal tiling that covers all Hurwitz surfaces (the Riemann surfaces with maximal symmetry group), giving them a tiling by heptagons whose
Heptagonal_tiling
Coordinate system for the Schwarzschild geometry
have the advantage that they cover the entire spacetime manifold of the maximally extended Schwarzschild solution and are well-behaved everywhere outside
Kruskal–Szekeres_coordinates
Trajectory of Earth around the Sun
approximately four times the average distance to the Moon. This is the maximal distance at which the Earth's gravitational influence is stronger than
Earth's_orbit
Four-dimensional analogue of the cube
cube. Just as the perimeter of the square consists of four edges and the surface of the cube consists of six square faces, the hypersurface of the tesseract
Tesseract
Trace radiation from the early universe
the PVF. The WMAP team finds that the PVF is greater than half of its maximal value (the "full width at half maximum", or FWHM) over an interval of 115
Cosmic_microwave_background
Chatbot developed by xAI
sourced from the media are biased". Grok was also given instructions to be "maximally based", and to "tell like it is and [not be] afraid to offend people who
Grok_(chatbot)
Temperature below which condensation occurs
the dew point is equal to the current temperature and that the air is maximally saturated with water. When the moisture content remains constant and temperature
Dew_point
condyle normally moves over the articular tubercle during physiologic maximal opening of the jaw. The articular tubercle is the site of attachment of
Articular_tubercle
Compact astronomical body
"Seeing relativity—I. Ray tracing in a Schwarzschild metric to explore the maximal analytic extension of the metric and making a proper rendering of the stars"
Black_hole
Fragments broken off a larger solid body of material
Spalling occurs in preference to brinelling, where the maximal shear stress occurs not at the surface, but just below, shearing the spall off. One of the
Spall
Mathematical theorem in complex analysis
predicted by the theorem, the maximum of the modulus cannot be inside of the disk (so the highest value on the red surface is somewhere along its edge).
Maximum_modulus_principle
Set of all Pareto efficient situations
hdl:2117/18257. Nielsen, Frank (1996). "Output-sensitive peeling of convex and maximal layers". Information Processing Letters. 59 (5): 255–9. CiteSeerX 10.1
Pareto_front
Anatomical region between the torso and the legs
hip: semimembranosus, semitendinosus, and long head of biceps femoris. Maximal extension is inhibited by the iliofemoral ligament. Flexion or anteversion
Hip
Algebraic surface
1992.154.179, MR 1154738 Schmutz, P. (1993), "Riemann surfaces with shortest geodesic of maximal length", GAFA, 3 (6): 564–631, doi:10.1007/BF01896258
Bring's_curve
Compact Riemann surface of genus 3
M24, retrieved 2010-04-15 Schmutz, P. (1993). "Riemann surfaces with shortest geodesic of maximal length". GAFA. 3 (6): 564–631. doi:10.1007/BF01896258
Klein_quartic
Construction in algebraic geometry
{\displaystyle \ker(\varphi )\subset \pi } is called the universal (or maximal) free abelian cover. Now assume M {\displaystyle M} has a Riemannian metric
Abel–Jacobi_map
Geographic location
the shore. In these cases, a pole of inaccessibility is the center of a maximally large circle that can be drawn within an area of interest only touching
Pole_of_inaccessibility
Device involving the flow of liquids through tubes
impurities or rough surfaces to act as easy nucleation sites for bubbles, siphons can temporarily exceed their standard maximal height during the extended
Siphon
force acting within a body across imaginary internal surfaces. The force lines show the maximal internal forces and their directions. The procedure for
Force_lines
Scientific projections regarding the far future
map of the continents as they are expected to appear then. 100 million Maximal estimated lifespan of technological civilization, according to Frank Drake's
Timeline_of_the_far_future
Concept in mathematics
compact surface S {\displaystyle S} is a complex whose vertices are the pants decompositions of S {\displaystyle S} (isotopy classes of maximal systems
Mapping class group of a surface
Mapping_class_group_of_a_surface
Concept in geometry
tiling is the universal tiling that covers all Hurwitz surfaces (the Riemann surfaces with maximal symmetry group), giving them a triangulation whose symmetry
Order-7_triangular_tiling
On tangency patterns of circles
respect to their density (the fraction of area covered by circles). A maximal planar graph G {\displaystyle G} is a finite simple planar graph to which
Circle_packing_theorem
MAXIMAL SURFACE
MAXIMAL SURFACE
Boy/Male
Celebrity, Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Oriya, Punjabi, Sanskrit, Sikh, Tamil, Telugu, Traditional
King of the Earth; A King
Girl/Female
Hindu
Greatness
Boy/Male
Hindu
Dignity, Power
Boy/Male
Bengali, Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Telugu
Fragrance
Boy/Male
Latin
Greatest.
Girl/Female
Muslim
Soft
Boy/Male
Hindu, Indian, Marathi
The Garland of Lord Vishnu
Girl/Female
Hindu
Full of jewel
Girl/Female
Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Sanskrit, Sindhi, Tamil, Telugu, Traditional
A String of Pearls
Boy/Male
Hindu, Indian
Praise
Male
French
French form of Latin Maximus, MAXIME means "the greatest."Â
Boy/Male
Hindu
Devoted, A promise to God
Boy/Male
Gujarati, Hindu, Indian
Rich; Maladar
Boy/Male
British, English
Ermine; Ferret-like Mammal; Animal Name
Girl/Female
Indian
Soft
Boy/Male
Hindu, Indian, Punjabi, Sikh, Tamil
Great Speech
Male
Russian
(МакÑим) Variant spelling of Russian Maksim, MAXIM means "the greatest." Compare with another form of Maxim.
Boy/Male
American, Australian, Chinese, French, German, Greek, Latin, Swedish
Greatest
Boy/Male
Muslim
Liberal, Generous, Another name for God
Boy/Male
Sikh
A king
MAXIMAL SURFACE
MAXIMAL SURFACE
Boy/Male
Indian, Sanskrit
King of Mithila
Girl/Female
Muslim
Romantic
Biblical
the great man; the hero
Girl/Female
Indian
Happy
Girl/Female
Indian
Denote Goddess sowdeswari
Girl/Female
Muslim
Grass, Immortal one
Boy/Male
English
Steward; bailiff.
Male
English
King-like
Boy/Male
Indian
Girl/Female
Hindu
Art of work
MAXIMAL SURFACE
MAXIMAL SURFACE
MAXIMAL SURFACE
MAXIMAL SURFACE
MAXIMAL SURFACE
a.
Performed by, or proceeding from, occult and superhuman agencies; done by, or seemingly done by, enchantment or sorcery. Hence: Seemingly requiring more than human power; imposing or startling in performance; producing effects which seem supernatural or very extraordinary; having extraordinary properties; as, a magic lantern; a magic square or circle.
v.
Of or pertaining to a husband; as, marital rights, duties, authority.
n.
An animal that suckles its young; a mammal.
a.
Of or relating to animals; as, animal functions.
n.
The bone of either the upper or the under jaw.
a.
Pertaining to the hidden wisdom supposed to be possessed by the Magi; relating to the occult powers of nature, and the producing of effects by their agency.
n.
The bone, or principal bone, of the upper jaw, the bone of the lower jaw being the mandible.
a.
Consisting of the flesh of animals; as, animal food.
n.
An organized living being endowed with sensation and the power of voluntary motion, and also characterized by taking its food into an internal cavity or stomach for digestion; by giving carbonic acid to the air and taking oxygen in the process of respiration; and by increasing in motive power or active aggressive force with progress to maturity.
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.
One of the Mammalia.
a.
Partaking of the nature both of vegetable and animal matter; -- a term sometimes applied to vegetable albumen and gluten, from their resemblance to similar animal products.
mexcal.
See Mescal.
a.
Relating to the morning, or to matins; matutinal.
a.
Greatest in quantity or highest in degree attainable or attained; as, a maximum consumption of fuel; maximum pressure; maximum heat.
n.
One of the lower or outer jaws of arthropods.
n.
One of the lower animals; a brute or beast, as distinguished from man; as, men and animals.
pl.
of Maximum
a.
Pertaining to the merely sentient part of a creature, as distinguished from the intellectual, rational, or spiritual part; as, the animal passions or appetites.
a.
Belonging to the axis of the body; as, the axial skeleton; or to the axis of any appendage or organ; as, the axial bones.