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Line or vector perpendicular to a curve or a surface
field of normal directions to a surface is known as Gauss map. The word "normal" is also used as an adjective: a line normal to a plane, the normal component
Normal_(geometry)
normal surface is a surface inside a triangulated 3-manifold that intersects each tetrahedron in several components called normal disks. Each normal disk
Normal_surface
following is a list of the 100 largest lakes of the United States by normal surface area. The top twenty lakes in size are as listed by the National Atlas
List of largest lakes of the United States by area
List_of_largest_lakes_of_the_United_States_by_area
Algebraic geometry
In mathematics, a rational normal scroll is a ruled surface of degree n in projective space of dimension n + 1. Here "rational" means birational to projective
Rational_normal_scroll
Force exerted on an object by a body with which it is in contact, and vice versa
In mechanics, the normal force F N {\displaystyle F_{N}} is the component of a contact force that is perpendicular to the surface that an object contacts
Normal_force
Texture mapping technique
and Z coordinates, respectively, of the surface normal. In 1978 Jim Blinn described how the normals of a surface could be perturbed to make geometrically
Normal_mapping
Integration over a non-flat region in 3D space
the area of a surface described this way. One can recognize the vector in the second-last line above as the normal vector to the surface. Because of the
Surface_integral
Surface specified with parameters
vectors is a normal vector to the tangent plane. Dividing this vector by its length yields a unit normal vector to the parametrized surface at a regular
Parametric_surface
Measure of surface finish or texture
of the normal vector of a real surface from its ideal form. If these deviations are large, the surface is rough; if they are small, the surface is smooth
Surface_roughness
Determining whether a knot is the unknot
complexity classes, which contain the class P. By using normal surfaces to describe the Seifert surfaces of a given knot, Hass, Lagarias & Pippenger (1999)
Unknotting_problem
River in Louisiana, United States
Parish. The dam was constructed for flood control purposes and its normal surface area is 1 acre (4,000 m2). It is of earth construction and its length
Bayou_Nezpique
Haken manifolds, in normal surface theory, and in the study of the fundamental groups of 3-manifolds. Let S be a compact surface properly embedded in
Incompressible_surface
Mirror-like wave reflection
a surface. The law of reflection states that a reflected ray of light emerges from the reflecting surface at the same angle to the surface normal as
Specular_reflection
Geometric plane containing the normal vector of a given surface
In geometry, a normal plane is any plane containing the normal vector of a surface at a particular point. The normal plane also refers to the plane that
Normal_plane_(geometry)
Concept in 3-dimensional geometry
dimensions. For a finite planar surface of scalar area S and unit normal ^n, the vector area S is defined as the unit normal scaled by the area: S = n ^ S
Vector_area
Area for playing association football
the goal- and touch-lines to help gauge these distances. Grass is the normal surface of play, although artificial turf may sometimes be used especially in
Football_pitch
Mathematics of smooth surfaces
of surfaces deals with the differential geometry of smooth surfaces with various additional structures, most often, a Riemannian metric. Surfaces have
Differential geometry of surfaces
Differential_geometry_of_surfaces
Texturing technique for bumps/wrinkles in computer graphics
wrinkles on the surface of an object. This is achieved by perturbing the surface normals of the object and using the perturbed normal during lighting
Bump_mapping
American mathematician (1946–2012)
figure-eight knot complement. By utilizing Haken's normal surface techniques, he classified the incompressible surfaces in the knot complement. Together with his
William_Thurston
Directional vector associated with a vertex
the true geometric normal of the surface. Commonly, it is computed as the normalized average of the surface normals of the faces that contain that vertex
Vertex_normal
S^{2}} bundle over S 1 . {\displaystyle S^{1}.} The proof is based on normal surface techniques originated by Hellmuth Kneser. Existence was proven by Kneser
Prime decomposition of 3-manifolds
Prime_decomposition_of_3-manifolds
Product of the principal curvatures of a surface
point on a surface, we can find a normal vector that is at right angles to the surface; planes containing the normal vector are called normal planes. The
Gaussian_curvature
Surface force denoted fs is the force that acts across an internal or external surface element in a material body. Normal forces and shear forces between
Surface_force
a unit normal to the surface. Examining the definition shows that the surface gradient is the (conventional) gradient with the component normal to the
Surface_gradient
Mathematical measure of how much a curve or surface deviates from flatness
the surface. The normal curvature, kn, is the curvature of the curve projected onto the plane containing the curve's tangent T and the surface normal u;
Curvature
Surface integral of the magnetic field
the magnetic flux through a surface is the surface integral of the normal component of the magnetic field B over that surface. It is usually denoted Φ or
Magnetic_flux
Directional planes
or, equivalently, if the surface normal vector is everywhere parallel to gravity, as in an equigeopotential surface. More generally, something that is
Vertical_and_horizontal
Measurement of electromagnetic radiation
constructions. Global normal irradiance (GNI) is the total irradiance from the Sun at the surface of Earth at a given location with a surface element perpendicular
Solar_irradiance
Mathematical idealization of the surface of a body
to the surface at a point to the tangent plane to the image of the surface at the image of the point. The normal line at a point of a surface is the unique
Surface_(mathematics)
Flat surface used as a reference plane
use as a normal surface plate in high-tolerance production applications because of thermal expansion. The nature and use of a master surface, by contrast
Surface_plate
Interpolation technique for surface shading
Phong shading, Phong interpolation, or normal-vector interpolation shading is an interpolation technique for surface shading invented by computer graphics
Phong_shading
Set of points equidistant from a center
that contains the normal with the surface will form a curve that is called a normal section, and the curvature of this curve is the normal curvature. For
Sphere
Geographic coordinate specifying north-south position
is the angle formed between the vector perpendicular (or normal) to the ellipsoidal surface from the point, and the plane of the equator. Two levels of
Latitude
Subfield of mathematical topology
A large family of algorithms concerning 3-manifolds revolve around normal surface theory, which is a phrase that encompasses several techniques to turn
Computational_topology
Surface in 3D space defined by an implicit function of three variables
to the computation of essential geometric features of a surface: tangent planes, surface normals, curvatures (see below). But they have an essential drawback:
Implicit_surface
Reservoir in Illinois, United States
by damming the Kaskaskia River at Shelbyville, Illinois. The lake's normal surface pool is 11,100 acres (44.9 km2) at an elevation of 183 meters (600.4 ft)
Lake_Shelbyville
Aspect of crystal optics
normal-velocity surface. Born & Wolf (2002, p. 803) call it the normal surface. But Yariv & Yeh (1984) use the term normal surface for the index surface (p. 87)
Index_ellipsoid
Outermost layer of a physical object
are all called surface, sometimes with a qualifier such as algebraic surface, smooth surface or fractal surface. The concept of a surface and its abstraction
Surface
Third planet from the Sun
being an ocean world, the only one in the Solar System sustaining liquid surface water. Almost all of Earth's water is contained in its ocean, which covers
Earth
Large self-illuminated object in space
fields and lower than normal surface temperatures. Coronal loops are arching magnetic field flux lines that rise from a star's surface into the star's outer
Star
paraboloid (doubly ruled) Rational normal scroll Regulus Klein bottle Real projective plane Cross-cap Roman surface Boy's surface Sphere Spheroid Oblate spheroid
List_of_surfaces
Global climate phenomenon
pattern, where sea surface temperature across the eastern equatorial part of the central Pacific Ocean will be lower than normal by 3–5 °C (5.4–9 °F)
El_Niño–Southern_Oscillation
Mathematical concept applicable to physics
area of the surface A, directed as the surface normal. For the second, n is the outward pointed unit normal vector to the surface. The surface has to be
Flux
Computer graphics method
surface normal are called isotropic. In this case the surface material has no particular orientation (rotating the surface around the surface normal will
Path_tracing
Steel whose surface rust inhibits further rusting
one example of this. Weathering steel's normal surface weathering can also lead to rust stains on nearby surfaces. The rate at which some weathering steels
Weathering_steel
Dam in Somerset County, Maine
acre-feet (239 million cubic metres), among the largest lakes in Maine. Its normal surface area is over 5 square miles (13 km2). It stretches northward from the
Wyman_Dam
Offset at ground-level after earthquakes
lead to complex patterns of surface faulting, such as in the 1992 Landers earthquake. Surface ruptures associated with normal faults are typically simple
Surface_rupture
Angle in geometric optics
ray incident on a surface and the line perpendicular (at 90 degree angle) to the surface at the point of incidence, called the normal. The ray can be formed
Angle_of_incidence_(optics)
Equations used in vector calculus
derivative of the unit normal vector to a surface in terms of the first derivatives of the position vector of a point on the surface. These formulas were
Weingarten_equations
Mathematical vector components
perpendicular to the curve, called the normal component of the vector. Similarly, a vector at a point on a surface can be broken down the same way. More
Tangential and normal components
Tangential_and_normal_components
Force resisting sliding motion
contact and their surface coatings, the extent of the surface area, the normal pressure (or load), and the length of time that the surfaces remained in contact
Friction
Maximal and minimal curvature at a point of a surface
normal vector. A normal plane at p is one that contains the normal vector, and will therefore also contain a unique direction tangent to the surface and
Principal_curvature
Surface able to be flattened without distortion
lines. The polar lines sweep out a developable surface, since it is the envelope surface of the normal planes of the curve. For example, the polar developable
Developable_surface
Probability distribution
X has a normal distribution. Equivalently, if Y has a normal distribution, then the exponential function of Y, X = exp(Y), has a log-normal distribution
Log-normal_distribution
Closed surface in three-dimensional space
the surface integral. If the Gaussian surface is chosen such that for every point on the surface the component of the electric field along the normal vector
Gaussian_surface
Spiral galaxy in the constellation Draco
The rotation curve of NGC 5963 matches that of similar galaxies with normal surface brightness, suggesting this galaxy has a more concentrated halo. König
NGC_5963
Man-made reservoir in Oklahoma, United States
acre-feet (356,000,000 m3), a normal surface area of 3,570 acres (1,440 ha) and a shoreline of 62 miles (100 km). The normal elevation is 733 feet (223 m)
Hulah_Lake_(Oklahoma)
Immune organ that filters blood
pancreas. The renal surface is directed medialward and downward. It is somewhat flattened, considerably narrower than the gastric surface, and is in relation
Spleen
Reservoir in and Garrett County, Maryland
operated by the United States Army Corps of Engineers. The reservoir's normal surface area is approximately 4.4 square miles (11 km2), and it has a maximum
Youghiogheny_River_Lake
Dam in Idaho, United States
Lowell, has a normal surface area of 16 square miles (41 km2), and a maximum capacity of 169,000 acre-feet (208,000,000 m3). Its surface elevation is approximately
Deer_Flat_Upper_Embankment
Artificial lake in Suffolk County, New York
recreational purposes. Construction was completed in 1825. It has a normal surface area of 109 acres (0.44 km2). It is owned by Suffolk County Parks Department
New_Mill_Pond
WPA dam in northwestern Wisconsin
Claire Lake, has a normal surface area of 1.7 square miles (4.4 km2), with a maximum capacity of 17,000 acre-feet (21,000,000 m3) and normal storage of 7,200
Eau_Claire_Dam
Concept in algebraic geometry
singularities of D {\displaystyle D} . Let X {\displaystyle X} be a normal surface. A genus g {\displaystyle g} fibration f : X → B {\displaystyle f:X\to
Canonical_bundle
Physical quantity of rough surfaces
Normal contact stiffness is a physical quantity related to the generalized force displacement behavior of rough surfaces in contact with a rigid body or
Normal_contact_stiffness
Breathing gas, mixture of nitrogen and oxygen
as nitrox, an oxygen-enriched air mixture is routinely provided at normal surface ambient pressure as oxygen therapy to patients with compromised respiration
Nitrox
German mathematician
decomposition for 3-manifolds. His proof originated the concept of normal surface, a fundamental cornerstone of the theory of 3-manifolds. He was born
Hellmuth_Kneser
Tendency of a liquid surface to shrink to reduce surface area
factors. If no force acts normal to a tensioned surface, the surface must remain flat. But if the pressure on one side of the surface differs from pressure
Surface_tension
Lunar mare
formation include a cometary impact, venting of volcanic gases, or just normal surface markings shielded from space weathering due to the magnetic field. However
Mare_Marginis
Classification of stars based on spectral properties
strong VO line. Alpha (α) stands for normal surface gravity and is usually dropped. Sometimes an extremely low surface gravity is denoted by a delta (δ)
Stellar_classification
Measure of a two-dimensional surface
integrating the length of the normal vector r → u × r → v {\displaystyle {\vec {r}}_{u}\times {\vec {r}}_{v}} to the surface over the appropriate region
Surface_area
Complex of different phospholipids and proteins
of premature infants with infant respiratory distress syndrome. The normal surface tension for water is 70 dyn/cm (70 mN/m) and in the lungs, it is 25
Pulmonary_surfactant
Road covered with durable surface material
A road surface (British English) or pavement (North American English) is the durable surface material laid down on an area intended to sustain vehicular
Road_surface
Force distributed over an area
vector normal to the surface) with the normal force acting on it. The pressure is the scalar proportionality constant that relates these two normal vectors:
Pressure
Natural moving frame in differential geometry of surfaces
an oriented surface, one may attach a unit normal vector u(p) in a unique way, as soon as an orientation has been chosen for the normal at any particular
Darboux_frame
Altitude above quasigeoid or mean sea level
density. This is an advantage of normal heights compared to orthometric heights. The reference surface where normal heights are zero is called the quasi-geoid
Normal_height
Non-orientable mathematical surface
non-orientable surface, a two-dimensional manifold on which one cannot define a consistent direction perpendicular to the surface (normal vector) that varies
Klein_bottle
Shading algorithm in computer graphics
reflection of L ^ m {\displaystyle {\hat {L}}_{m}} on the surface characterized by the surface normal N ^ {\displaystyle {\hat {N}}} using R ^ m = 2 ( L ^
Phong_reflection_model
File format for 3D printing and scanning
language. An STL file describes a raw, unstructured triangulated surface by the unit normal and vertices (ordered by the right-hand rule) of the triangles
STL_(file_format)
Crater lake in Laguna
calculated volume of 6,600 cubic meters of water in storage. Yambo has a normal surface area of 28.5 hectares. Yambo, like Pandin, is considered oligotrophic
Lakes_Pandin_and_Yambo
Study of the deformation of solids that touch each other
contacting bodies' surfaces (known as normal stress) and frictional stresses acting tangentially between the surfaces (shear stress). Normal contact mechanics
Contact_mechanics
2023 South Korean drama film
A Normal Family (Korean: 보통의 가족) is a 2023 South Korean psychological thriller film directed by Hur Jin-ho and written by Park Eun-kyo and Park Joon-seok
A_Normal_Family
Counterintuitive mathematical object
he (a) gives an example of a normal surface for which Kodaira vanishing fails. The first example of a smooth surface for which Kodaira vanishing fails
Pathological_(mathematics)
Layer of a turbulent fluid affected by interaction with a surface
turbulence depend on distance from the interface. Surface layers are characterized by large normal gradients of tangential velocity and large concentration
Surface_layer
Mathematics concept
Oertel (1984) gave an algorithm to determine if a 3-manifold was Haken. Normal surfaces are ubiquitous in the theory of Haken manifolds and their simple and
Haken_manifold
Rational surface in 5-dimensional projective space
In mathematics, the Veronese surface is an algebraic surface in five-dimensional projective space, and is realized by the Veronese embedding, the embedding
Veronese_surface
Mountains of California. At several points it is over 140' deep and its normal surface area is 96 acres. It provides 12% of San Jose Water Works’ total water
Lake_Elsman
a surface metric denoted by I I I {\displaystyle \mathrm {I\!I\!I} } . Unlike the second fundamental form, it is independent of the surface normal. Let
Third_fundamental_form
1996 American film
Normal Life is a 1996 American crime drama film based on the real lives of husband-and-wife bank robbers, Jeffrey and Jill Erickson. The film stars Ashley
Normal_Life
Force used to generate motion between a body and a tangential surface
force which makes an object move over the surface by overcoming all the resisting forces like friction, normal loads (load acting on the tiers in negative
Traction_(mechanics)
Unincorporated community in Missouri, U.S.
ridge above the lake at an elevation of about 820 feet. The lake has a normal surface elevation of 654 feet. The town consists of a post office, a marina
Pontiac,_Missouri
Type I Seyfert galaxy in the constellation Boötes
known as Seyfert galaxies, and they were noted to have a higher than normal surface brightness in their nuclei. Observation of NGC 5548 during the 1960s
NGC_5548
Concept used in black hole solutions
the past. The trapped surface is a spacelike surface of co-dimension 2, in a Lorentzian spacetime. It follows that any normal vector can be expressed
Trapped_surface
Dam in Mayes County, Oklahoma, U.S.
reservoir's surface area is 46,500 acres (188 km2) and it extends 66 mi (106 km) upstream, creating 1,300 mi (2,100 km) of shoreline. Normal surface elevation
Pensacola_Dam
Physical quantity that expresses internal forces in a continuous material
Cauchy observed that the force across an imaginary surface was a linear function of its normal vector; and, moreover, that it must be a symmetric function
Stress_(mechanics)
Geometry definition file format
anisotropy anisor # anisotropy rotation norm # normal map (RGB components represent XYZ components of the surface normal) Further proposed extensions come from
Wavefront_.obj_file
Plane containing the surface normal and the propagation vector of the incoming radiation
meridional plane[citation needed]) is the plane which contains the surface normal and the propagation vector of the incoming radiation. (In wave optics
Plane_of_incidence
Deviation from the normal change of an atmospheric property with altitude
Under the right conditions, the normal vertical temperature gradient is inverted so that the air is colder near the surface of the Earth. This can occur
Inversion_(meteorology)
Freshwater lake in Kenya
fresh it is assumed to have an underground outflow. The lake had a normal surface area of 139 square kilometres (54 sq mi) before 2010, and increased
Lake_Naivasha
Fracture or discontinuity in displaced rock
grabens, and therefore two normal faults dipping away from each other, is a horst. A sequence of grabens and horsts on the surface of the Earth produces a
Fault_(geology)
Theory used to determine the stresses and deformations in thin plates
straight lines normal to the mid-surface remain straight after deformation straight lines normal to the mid-surface remain normal to the mid-surface after deformation
Kirchhoff–Love_plate_theory
NORMAL SURFACE
NORMAL SURFACE
Girl/Female
American, Australian, British, Chinese, Christian, Danish, English, Finnish, French, German, Latin, Swedish
From the North; Pattern; Courage; Norseman; Rule; Standard; Female Version of Norman
Female
Italian
 Italian name invented by Felice Romani in his libretto for Belini's opera of the same name, derived from Latin norma, NORMA means "standard, rule." Compare with another form of Norma.
Female
English
English name derived from the gem name, from Latin corallium, probably ultimately from Hebrew goral, CORAL means "small pebble."
Male
Scottish
Scottish form of Irish Gaelic Cormac, CORMAG means "son of defilement."
Boy/Male
Scottish American
From the north valley.
Male
English
English form of Norwegian Normund, NORMAND means "north protection."
Boy/Male
Biblical
Treasurer of Nergal.
Boy/Male
Assamese, Bengali, Celebrity, Gujarati, Hindu, Indian, Jain, Kannada, Malayalam, Marathi, Punjabi, Sikh, Sindhi, Tamil, Telugu, Traditional
Kindness; Clean; Pure; Talent Person; The One who is Pure
Boy/Male
Shakespearean
Hamlet, Prince of Denmark' Fortinbras, Prince of Norway.
Boy/Male
Afghan, Arabic
Handsome
Male
English
English form of Teutonic Nordemann, NORMAN means "northman."
Boy/Male
American, Australian, French, Scottish
From the Northern Town
Girl/Female
Latin American
Rule; pattern. Can also be a feminine form of Norman: from the North.
Biblical
treasurer of Nergal
Surname or Lastname
English, Irish (Ulster), Scottish, and Dutch
English, Irish (Ulster), Scottish, and Dutch : name applied either to a Scandinavian or to someone from Normandy in northern France. The Scandinavian adventurers of the Dark Ages called themselves norðmenn ‘men from the North’. Before 1066, Scandinavian settlers in England were already fairly readily absorbed, and Northman and Normann came to be used as bynames and later as personal names, even among the Saxon inhabitants. The term gained a new use from 1066 onwards, when England was settled by invaders from Normandy, who were likewise of Scandinavian origin but by now largely integrated with the native population and speaking a Romance language, retaining only their original Germanic name.French : regional name for someone from Normandy.Dutch : ethnic name for a Norwegian.Jewish (Ashkenazic) : variant of Nordman.Jewish : Americanized form of some like-sounding Ashkenazic name.Swedish : from norr ‘north’ + man ‘man’.Albert Andriessen Bradt, a settler in Rensselaerswijck on the upper Hudson River in NY, was originally from Norway and was known as de Norrman (‘the Norwegian’). The waterway south of Albany which powered his mills became known as the Normanskill (‘the Norman’s Waterway’), by which name it is still known today.
Female
English
 Feminine form of English Norman, NORMA means "northman." Compare with another form of Norma.
Boy/Male
Hindu
Clean, Pure
Boy/Male
French Teutonic American English German
From the north.
Girl/Female
Indian, Punjabi, Sikh, Telugu
Pure; Without Any Impurity
Girl/Female
Indian
Soft
NORMAL SURFACE
NORMAL SURFACE
Girl/Female
African, Bengali, Hindu, Indian, Kannada, Malayalam, Marathi, Tamil, Telugu, Thai
Good Natured; Flower; Goddess Durga; Kind Hearted
Girl/Female
Tamil
Granter of issues, Goddess Durga
Boy/Male
Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Sindhi, Telugu
Friend of Religion
Boy/Male
Assamese, Hindu, Indian, Kannada, Malayalam, Marathi, Sanskrit, Sikh, Telugu
Remembrance; Memory
Boy/Male
Indian, Punjabi, Sikh
Love of Air
Girl/Female
German
Virtue
Girl/Female
Indian
Tigress, Beauty, Strength, Modesty, Power
Boy/Male
Indian, Telugu
Interest
Boy/Male
Indian, Punjabi, Sikh
One who Serves Selflessly
Surname or Lastname
English
English : patronymic from Sharp.
NORMAL SURFACE
NORMAL SURFACE
NORMAL SURFACE
NORMAL SURFACE
NORMAL SURFACE
adv.
In a normal manner.
a.
According to a square or rule; perpendicular; forming a right angle. Specifically: Of or pertaining to a normal.
a.
Pertaining to, or situated near, the back, or dorsum, of an animal or of one of its parts; notal; tergal; neural; as, the dorsal fin of a fish; the dorsal artery of the tongue; -- opposed to ventral.
a.
Northern; pertaining to the north, or to the north wind; as, a boreal bird; a boreal blast.
a.
Not according to rule; abnormal.
a.
Denoting that series of hydrocarbons in which no carbon atom is united with more than two other carbon atoms; as, normal pentane, hexane, etc. Cf. Iso-.
n.
See Wormil.
n.
The quality, state, or fact of being normal; as, the point of normalcy.
n.
See Wormil.
a.
Human; belonging to man, who is mortal; as, mortal wit or knowledge; mortal power.
a.
Sound; normal.
a.
Serving to teach or convey a moral; as, a moral lesson; moral tales.
a.
According to an established norm, rule, or principle; conformed to a type, standard, or regular form; performing the proper functions; not abnormal; regular; natural; analogical.
a.
Having the form or appearance without the substance or essence; external; as, formal duty; formal worship; formal courtesy, etc.
a.
Denoting certain hypothetical compounds, as acids from which the real acids are obtained by dehydration; thus, normal sulphuric acid and normal nitric acid are respectively S(OH)6, and N(OH)5.
a.
Alt. of Loral
a.
Of or pertaining to Normandy or to the Normans; as, the Norman language; the Norman conquest.
a.
Done in due form, or with solemnity; according to regular method; not incidental, sudden or irregular; express; as, he gave his formal consent.
a.
Both renal and portal. See Portal.
n.
See Mormal.