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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
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
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
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
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
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
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
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)
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
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
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
Reservoir in Providence County, Rhode Island
creates has a normal surface area of 390 acres (160 ha), a maximum capacity of 15,680 acre-feet (19.34 million cubic metres), and a normal storage of 11
Diamond_Hill_Reservoir
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
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
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
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)
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
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
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
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)
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
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
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
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
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
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
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)
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
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
(doubly ruled) Rational normal scroll Regulus Möbius strip Klein bottle Real projective plane Cross-cap Roman surface Boy's surface Sphere Spheroid Oblate
List_of_surfaces
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
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
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
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)
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
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
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
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
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
Characteristic temperature for a substance
molecule more compact tends to lower the normal boiling point slightly compared to an equivalent molecule with more surface area. Most volatile compounds (anywhere
Boiling_point
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
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)
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
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
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
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
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
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
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
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
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
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
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
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
Surface in 3D space defined by an implicit function of three variables
formula for the normal curvature of a parametric surface. As in the case of implicit curves it is an easy task to generate implicit surfaces with desired
Implicit_surface
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
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
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
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
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
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)
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
Topics referred to by the same term
containing the normal vector of a surface; see Normal plane (geometry). A term involving gears; see list of gear nomenclature. Normal bundle Normal section This
Normal_plane
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
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
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
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
Building material consisting of aggregates cemented by a binder
allows water to drain naturally through it, and can both remove the normal surface-water drainage infrastructure, and allow replenishment of groundwater
Types_of_concrete
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
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
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
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
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
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
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)
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
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)
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
Reservoir in Oklahoma, United States
water and recreation purposes. Construction was completed in 1964. Its normal surface area is 183 acres (74 ha). It is owned by the town of Talihina. The
Lake_Carl_Albert
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
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
3D imaging technique
Photometric stereo is a technique in computer vision for estimating the surface normals of objects by observing that object under different lighting conditions
Photometric_stereo
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
Computer graphics technique
textured surface are displaced, often along the local surface normal, according to the value the texture function evaluates to at each point on the surface. It
Displacement_mapping
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
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
Broadway musical
Next to Normal is a 2008 American rock musical with book and lyrics by Brian Yorkey and music by Tom Kitt. The story centers on a mother who struggles
Next_to_Normal
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
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
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
Optical Phenomenon
surface or ideal diffuse radiator is directly proportional to the cosine of the angle θ between the observer's line of sight and the surface normal;
Lambert's_cosine_law
Generalization of the concept of parallel lines
have a second surface that can be parameterized by its unit normal, d → ( n → ) {\displaystyle {\vec {d}}({\vec {n}})} , where the normal of d → ( n →
Parallel_curve
BBC television sitcom
Alma's Not Normal is a British sitcom first broadcast as a pilot episode on BBC Two in April 2020. The series follows the eponymous Alma, from Bolton,
Alma's_Not_Normal
NORMAL SURFACE
NORMAL SURFACE
Male
English
English form of Norwegian Normund, NORMAND means "north protection."
Girl/Female
Indian, Punjabi, Sikh, Telugu
Pure; Without Any Impurity
Boy/Male
Biblical
Treasurer of Nergal.
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.
Boy/Male
French Teutonic American English German
From the north.
Boy/Male
Scottish American
From the north valley.
Male
Scottish
Scottish form of Irish Gaelic Cormac, CORMAG means "son of defilement."
Biblical
treasurer of Nergal
Boy/Male
American, Australian, French, Scottish
From the Northern Town
Boy/Male
Hindu
Clean, Pure
Girl/Female
Indian
Soft
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
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
Afghan, Arabic
Handsome
Boy/Male
Shakespearean
Hamlet, Prince of Denmark' Fortinbras, Prince of Norway.
Female
English
English name derived from the gem name, from Latin corallium, probably ultimately from Hebrew goral, CORAL means "small pebble."
Girl/Female
Latin American
Rule; pattern. Can also be a feminine form of Norman: from the North.
Male
English
English form of Teutonic Nordemann, NORMAN means "northman."
NORMAL SURFACE
NORMAL SURFACE
Boy/Male
British, Celtic, English, French
Mythical Hunter; God
Boy/Male
Tamil
King, King of earth
Male
Hebrew
(×—Ö²× Ö·× Ö°×™Ö¸×”ï¬µ) Variant form of Hebrew Chananya, CHANANYAHU means "whom Jehovah has graciously given."
Boy/Male
Muslim
Order. Discipline.
Girl/Female
Arabic
Sweetheart; Companion
Girl/Female
Gujarati, Hindu, Indian
Devotee of Lord Shiva
Boy/Male
Hindu, Indian, Tamil
Governance of God Rama
Boy/Male
Tamil
Ullasit | உலà¯à®²à®¾à®¸à®¿à®¤
Shining, Brillient, Splendid
Girl/Female
English American
Star.
Boy/Male
Australian, Polish
Free; From France
NORMAL SURFACE
NORMAL SURFACE
NORMAL SURFACE
NORMAL SURFACE
NORMAL SURFACE
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.
n.
The quality, state, or fact of being normal; as, the point of normalcy.
a.
Serving to teach or convey a moral; as, a moral lesson; moral tales.
a.
According to a square or rule; perpendicular; forming a right angle. Specifically: Of or pertaining to a normal.
a.
Of or pertaining to Normandy or to the Normans; as, the Norman language; the Norman conquest.
a.
Northern; pertaining to the north, or to the north wind; as, a boreal bird; a boreal blast.
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.
Both renal and portal. See Portal.
a.
Not according to rule; abnormal.
a.
Alt. of Loral
a.
Done in due form, or with solemnity; according to regular method; not incidental, sudden or irregular; express; as, he gave his formal consent.
adv.
In a normal manner.
n.
See Wormil.
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.
See Mormal.
a.
Having the form or appearance without the substance or essence; external; as, formal duty; formal worship; formal courtesy, etc.
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.
Sound; normal.
a.
Human; belonging to man, who is mortal; as, mortal wit or knowledge; mortal power.