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Topics referred to by the same term
Surface element may refer to An infinitesimal portion of a 2D surface, as used in a surface integral in a 3D space. The volume form of a 2D manifold Surfel
Surface_element
Integration over a non-flat region in 3D space
product of the partial derivatives of r(s, t), and is known as the surface element (which would, for example, yield a smaller value near the poles of
Surface_integral
ESA/JAXA mission to study Mercury in orbit (2018–present)
separation in 2026, before being ejected from the MPO. The Mercury Surface Element (MSE) was cancelled in 2003 due to budgetary constraints. At the time
BepiColombo
Coordinates comprising a distance and two angles
\varphi }}\right|=r\sin \theta .} The surface element spanning from θ to θ + dθ and φ to φ + dφ on a spherical surface at (constant) radius r is then d S
Spherical_coordinate_system
Force distributed over an area
the area of the surface on contact. Pressure is a scalar quantity. It relates the vector area element (a vector normal to the surface) with the normal
Pressure
Coordinates comprising two distances and an angle
volume element is d V = ρ d ρ d φ d z . {\displaystyle \mathrm {d} V=\rho \,\mathrm {d} \rho \,\mathrm {d} \varphi \,\mathrm {d} z.} The surface element in
Cylindrical_coordinate_system
Numerical method for solving physical or engineering problems
Finite element method (FEM) is a popular method for numerically solving differential equations arising in engineering and mathematical modeling. Typical
Finite_element_method
Tensor used in continuum mechanics
tensors map the normal vector of a surface element to the density and direction of the stress acting on that surface element. However, elastic stress is due
Viscous_stress_tensor
Vector calculus formulas relating the bulk with the boundary of a region
is the outward pointing unit normal to the surface element dS and dS = ndS is the oriented surface element. This theorem is a special case of the divergence
Green's_identities
Infinitesimal volume of fluid within a fluid flow
In fluid dynamics, a fluid parcel, also known as a fluid element or material element, is an infinitesimal volume of fluid, identifiable throughout its
Fluid_parcel
HTML element
actually has two sizes: the size of the element itself and the size of the element's drawing surface. Setting the element's width and height attributes sets
Canvas_element
American chemicals production company
infrastructure, automobile, industrial surface finishing, consumer packaging and offshore oil production and drilling. Element Solutions operates in two segments:
Element_Solutions
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
Concept in integration theory
and in this setting it is useful for doing surface integrals. Under changes of coordinates, the volume element changes by the absolute value of the Jacobian
Volume_element
is an abbreviated term for a "surface element," analogous to a "voxel" (volume element) or a "pixel" (picture element). In 3D computer graphics, the
Surfel
Load-carrying bearing using rolling elements and rings
In mechanical engineering, a rolling-element bearing, also known as a rolling bearing, is a bearing which carries a load by placing rolling elements (such
Rolling-element_bearing
Physics formula
integral surface element, and ∂ ∂ n {\displaystyle {\frac {\partial }{\partial n}}} denotes differentiation along the integral surface element normal unit
Kirchhoff's diffraction formula
Kirchhoff's_diffraction_formula
Measure of the "spread" of light in an optical system
the etendue. An infinitesimal surface element, dS, with normal nS is immersed in a medium of refractive index n. The surface is crossed by (or emits) light
Etendue
Physical quantity that expresses internal forces in a continuous material
general case, called triaxial stress, the stress is nonzero across every surface element. Combined stresses cannot be described by a single vector. Even if
Stress_(mechanics)
(DNI), is the insolation measured at a given location on Earth with a surface element perpendicular to the Sun's rays, excluding diffuse insolation (the
Direct_solar_irradiance
Mathematical concept applicable to physics
the integral, over a surface, of the flux through every element of the surface. The result of this operation is called the surface integral of the flux
Flux
Classical element
alternative spellings include æther, aither, and ether), also known as the fifth element or quintessence, is the material that fills the region of the universe
Aether_(classical_element)
Chemical element with atomic number 80 (Hg)
Mercury is a chemical element; it has symbol Hg and atomic number 80. It is commonly known as quicksilver. A heavy, silvery d-block element, mercury is the
Mercury_(element)
Vector field with zero divergence
where d S {\displaystyle d\mathbf {S} } is the outward normal to each surface element. The fundamental theorem of vector calculus states that any vector
Solenoidal_vector_field
Component of stress coplanar with a material cross section
this loss of velocity. For a Newtonian fluid, the shear stress at a surface element parallel to a flat plate at the point y is given by τ ( y ) = μ ∂ u
Shear_stress
Chemical substance not composed of simpler ones
A chemical element is a species of atom defined by its number of protons. The number of protons is called the atomic number of that element. For example
Chemical_element
Electric charge per unit length, area or volume
line element, λ q = d Q d ℓ , {\displaystyle \lambda _{q}={\frac {dQ}{d\ell }}\,,} similarly the surface charge density uses a surface area element dS σ
Charge_density
Concept in contact mechanics
This small surface element can be considered as a flat rectangle which dimensions are L × (dθ × D/2). The pressure force on the surface is equal to dF =
Bearing_pressure
coordinates t and s. The surface tension σ is force per unit length of a surface element and acts tangential to the free surface. f σ = σ d l {\displaystyle
Computational methods for free surface flow
Computational_methods_for_free_surface_flow
Compact crossover SUV by Honda, 2003–2011
The Honda Element (Japanese: ホンダ・エレメント, Hepburn: Honda Eremento) is a compact crossover SUV manufactured by Honda and marketed in North America over a
Honda_Element
Line integral of the fluid velocity around a closed curve
integration path ∂S is the boundary or perimeter of an open surface S, whose infinitesimal element normal dS = ndS is oriented according to the right-hand
Circulation_(physics)
Amount of charge flowing through a unit cross-sectional area per unit time
where ρ is the charge density, and dA is a surface element of the surface S enclosing the volume V. The surface integral on the left expresses the current
Current_density
Concept in classical electromagnetism
infinitesimal line element, and direction given by the tangent to the curve C) dS is the vector area of an infinitesimal element of surface S (that is, a vector
Ampère's_circuital_law
Geometric model of the physical space
is known as the surface element. Given a vector field v on S, that is a function that assigns to each x in S a vector v(x), the surface integral can be
Three-dimensional_space
Algebraic object with geometric applications
tensor is needed. If a particular surface element inside the material is singled out, the material on one side of the surface will apply a force on the other
Tensor
Mathematical operation on vectors in 3D space
vectors. This also shows that the Riemannian volume form for surfaces is exactly the surface element from vector calculus. In the case where n = 3, combining
Cross_product
Irreducible parts of a load-bearing structural system
simple elements (each bearing a structural load). Within a structure, an element cannot be broken down (decomposed) into parts of different kinds (e.g.
Structural_element
Theorem in vector calculus
for the line element d Γ = d Γ d t d t {\displaystyle d\mathbf {\Gamma } ={\frac {d\mathbf {\Gamma } }{dt}}dt} and the surface element d Σ = n d Σ =
Stokes'_theorem
Device that converts electricity into heat
defined as the output power, P, from a heating element divided by the heated surface area, A, of the element. In mathematical terms it is given as: Φ = P
Heating_element
configuration Ω 0 {\displaystyle \Omega _{0}} , the outward normal to a surface element d Γ 0 {\displaystyle d\Gamma _{0}} is N ≡ n 0 {\displaystyle \mathbf
Alternative_stress_measures
Measurement of electromagnetic radiation
is the total irradiance from the Sun at the surface of Earth at a given location with a surface element perpendicular to the Sun. Spectral versions of
Solar_irradiance
Method to solve scalar wave equation
the unit vector inward from and normal to the integral surface element, i.e., the inward surface normal unit vector, and ∂ ∂ n ^ {\displaystyle {\frac
Kirchhoff_integral_theorem
Three-dimensional solid
element of the cylindrical surface. From a kinematics point of view, given a plane curve, called the directrix, a cylindrical surface is that surface
Cylinder
NASA mission to Mercury
ice) and S (if present) at the poles. Map surface element abundances where possible, and otherwise provide surface-averaged abundances or establish upper
MESSENGER
Measure in 3-dimensional geometry
is found by computing the following double integral using the unit surface element in spherical coordinates: ∫ 0 2 π ∫ 0 θ sin θ ′ d θ ′ d ϕ = ∫ 0 2
Solid_angle
computational mechanics applications, particularly in finite element method and boundary element method, to mesh problem domains into elements. Coons patches
Coons_patch
Curved Surfaces. The surface was controlled by one through seventh order polynomials and each curve was expressed as being one unit long and the element plane
Steven_Anson_Coons
Branch of physics about magnetism in systems with steady electric currents
magnetic flux density, the first integral is over a surface S {\displaystyle S} with oriented surface element d S {\displaystyle d\mathbf {S} } . Where ∇ with
Magnetostatics
Optical Phenomenon
emitted power from a given area element is reduced by the cosine of the emission angle, the solid angle, subtended by surface visible to the viewer, is reduced
Lambert's_cosine_law
Partition of a surface into a net of triangles
optimization of a given net. Surface triangulations are important for visualizing surfaces and the application of finite element methods. The triangulation
Surface_triangulation
Chemical elements not bound to other elements or compounds
Mentions "free element" 30 times, for example, "Oxygen is the most abundant element on the earth's surface. It occurs both as a free element and in combination
Free_element
Theorem in calculus
{1}{\sqrt {1+|\nabla g(x')|^{2}}}}(-\nabla g(x'),1)} and that the surface element d S {\displaystyle dS} is given by d S = 1 + | ∇ g ( x ′ ) | 2 d x
Divergence_theorem
Method of solving linear partial differential equations
small surface/volume ratio. Conceptually, it works by constructing a "mesh" over the modelled surface. However, for many problems boundary element methods
Boundary_element_method
Partial differential equation describing the evolution of temperature in a region
as follows: the time rate of heat flowing through an infinitesimal surface element with area dS and with unit normal vector n is H ( x ) ⋅ n ( x ) d S
Heat_equation
Chemical element with atomic number 74 (W)
Tungsten (also called wolfram) is a chemical element; it has symbol W (from German: Wolfram) and atomic number 74. It is a metal found naturally on Earth
Tungsten
Species of mathematical spline
Bézier surfaces are a type of mathematical spline used in computer graphics, computer-aided design, and finite element modeling. As with Bézier curves
Bézier_surface
Geometrical concept
{A} } is a surface element with an outward-pointing normal, and the integral is taken only over the top-most surface, that part of the surface that is "visible"
Cross_section_(geometry)
Branch of physics which studies the behavior of materials modeled as continuous media
particular material point, but also on the local orientation of the surface element as defined by its normal vector n {\displaystyle \mathbf {n} } .[page needed]
Continuum_mechanics
Critical point on a surface graph which is not a local extremum
In mathematics, a saddle point or minimax point is a point on the surface of the graph of a function where the slopes (derivatives) in orthogonal directions
Saddle_point
Heat transfer calculation
|r-r'|^{4}}}F} where F assumes a value of one when the surface element I sees the surface element J, otherwise it is zero if the ray is blocked and θr is
Kernel function for solving integral equation of surface radiation exchanges
Kernel_function_for_solving_integral_equation_of_surface_radiation_exchanges
Differentiation under the integral sign formula
the vector field, Σ is a surface bounded by the closed curve ∂Σ, dA is a vector element of the surface Σ, ds is a vector element of the curve ∂Σ, v is the
Leibniz_integral_rule
Specific element of an algebraic structure
mathematics, an identity element or neutral element of a binary operation is an element that leaves unchanged every element when the operation is applied
Identity_element
Measure of positive and negative charges
of a surface element is taken to be that of the outward normal to the surface at the location of the element.) If the bounding surface is a sphere, and
Electric_dipole_moment
Theorem in magnetohydrodynamics
the surface integral over S3, the differential surface element dS3 = dl × v δt where dl is the line element around the boundary ∂S1 of the surface S1.
Alfvén's_theorem
Mathematical idealization of the surface of a body
element, the area of a differential element of a surface Coordinate surfaces Hypersurface Perimeter, a two-dimensional equivalent Polyhedral surface Shape
Surface_(mathematics)
Topics referred to by the same term
by clinicians to assess aspects of a patient's mental state Mercury Surface Element, the lander portion of BepiColombo space mission MSE (centrifuges)
MSE
Type of aerostat that gains buoyancy from air heated by the Sun
the solar irradiance measured at a given location on Earth with a surface element perpendicular to the Sun's rays, excluding diffuse insolation (the
Solar_balloon
Chemical element with atomic number 4 (Be)
Beryllium is a chemical element; it has symbol Be and atomic number 4. It is a steel-gray, hard, strong, lightweight and brittle alkaline earth metal
Beryllium
Force perpendicular to flow of surrounding fluid
running distance over the top surface of the airfoil is longer than that over the bottom surface, the element over the top surface must move faster. This is
Lift_(force)
Chemical element with atomic number 8 (O)
Oxygen is a chemical element; it has the symbol O and its atomic number is 8. It is a member of the chalcogen group in the periodic table. It is highly
Oxygen
Pseudovector field describing the local rotation of a continuum near some point
by the (classical) Stokes' theorem. Namely, for any infinitesimal surface element C with normal direction n {\displaystyle \mathbf {n} } and area d A
Vorticity
Chemical element with atomic number 118 (Og)
Oganesson is a synthetic chemical element; it has symbol Og and atomic number 118. It was first synthesized in 2002 at the Joint Institute for Nuclear
Oganesson
Photographic lens design
optical characteristics of the glasses used for each element, the curvature of each lens surface, and the negative format that the lens is designed to
Tessar
Type of smooth complex surface of kodaira dimension 0
in characteristic not 2 or 3, a K3 surface X has an elliptic fibration if and only if there is a nonzero element u ∈ Pic ( X ) {\displaystyle u\in
K3_surface
Chemical element with atomic number 86 (Rn)
Radon is a chemical element; it has symbol Rn and atomic number 86. It is a radioactive noble gas and is colorless and odorless. Of the three naturally
Radon
One of the four classical elements
triangles and contains the least volume with the greatest surface area. This also makes fire the element with the smallest number of sides, and Plato regarded
Fire_(classical_element)
Two-dimensional manifold
In topology, a surface is a two-dimensional manifold. Some surfaces arise as the boundaries of three-dimensional solid figures; for example, the sphere
Surface_(topology)
nontrivial element of G has a fixed point on both C1 and C2 C1/G and C2/G are both rational. Then the quotient (C1 × C2)/G is a Beauville surface. The corresponding
Beauville_surface
Type of warship
Surface combatants (or surface ships or surface vessels) are a subset of naval warships which are designed for warfare on the surface of the water, with
Surface_combatant
Chemical element with atomic number 26 (Fe)
Iron is a chemical element; it has symbol Fe (from Latin ferrum 'iron') and atomic number 26. It is a metal that belongs to the first transition series
Iron
Concept in algebraic geometry
mathematics, a del Pezzo surface or Fano surface is a two-dimensional Fano variety, in other words a non-singular projective algebraic surface with ample anticanonical
Del_Pezzo_surface
13th episode of the 1st season of Star Trek: The Animated Series
"The Ambergris Element" is the thirteenth episode of the first season of the American animated science fiction television series Star Trek: The Animated
The_Ambergris_Element
Type of electrical circuit model
In electrical engineering, the distributed-element model or transmission-line model of electrical circuits assumes that the attributes of the circuit
Distributed-element_model
Asteroid rotation perturbation
force from photons departing from any given surface element of the spherical core will be normal to the surface, such that no torque is produced (the force
YORP_effect
Method of representing objects in 3D computer graphics
applications. In computer-aided engineering and finite element analysis, an object may be represented by a surface mesh of node points connected by triangles or
Computer representation of surfaces
Computer_representation_of_surfaces
Chemical element with atomic number 12 (Mg)
Magnesium is a chemical element; it has symbol Mg and atomic number 12. It is a shiny gray metal having a low density, low melting point, and high chemical
Magnesium
Chemical element with atomic number 79 (Au)
Gold is a chemical element; its chemical symbol is Au (from Latin aurum) and atomic number 79. In its pure form, it is a bright-metallic-yellow, dense
Gold
Chemical element with atomic number 94 (Pu)
Plutonium is a chemical element; it has symbol Pu and atomic number 94. It is a silvery-gray actinide metal that tarnishes when exposed to air, and forms
Plutonium
Type of resistive heater
specially shaped heating element is to increase the surface area of the heating element. A large surface area means the element can operate at a lower temperature
Self-regulating_heater
Term used in composite materials theory
representative elementary volume (REV) (also called the representative volume element (RVE) or the unit cell) is the smallest volume over which a measurement
Representative elementary volume
Representative_elementary_volume
Simplification of a physical system into a network of discrete components
The lumped-element model (also called lumped-parameter model, or lumped-component model) is a simplified representation of a physical system or circuit
Lumped-element_model
Any of the fifteen lanthanides plus scandium and yttrium
plentiful in the entire Earth's crust (cerium being the 25th-most-abundant element at 68 parts per million, more abundant than copper), but in practice they
Rare-earth_element
Natural satellite orbiting Earth
the chemical element selenium. The corresponding prefix seleno- appears in terms including selenography (the study of the lunar surface). Artemis, the
Moon
Deviation from perfect paraxial optical behavior
photographischen Objectivs). The condition for the reproduction of a surface element in the place of a sharply reproduced point — the constant of the sine
Optical_aberration
Characterizes homeomorphisms of a compact orientable surface
homeomorphisms of orientable surfaces of genus ≥ 2, but the type of a homeomorphism only depends on its associated element of the mapping class group Mod(S)
Nielsen–Thurston classification
Nielsen–Thurston_classification
which has an upper element with stainless steel surface face-down and bearing on a lower element with its PTFE steel backing surface face-up. In most applications
Slide_plate
Small United States Marine Corps task force
Element a composite medium tiltrotor squadron forming the Aviation Combat Element a combat logistics battalion providing the Logistics Combat Element
Marine_Expeditionary_Unit
Representation of mechanical stress at every point within a deformed 3D object
surface S {\displaystyle S} , due to the mechanical contact of one portion of the continuum onto the other (Figure 2.1a and 2.1b). On an element of
Cauchy_stress_tensor
Type of spacecraft
Mercury Surface Element (MSE). The lander would have carried a 7 kg payload consisting of an imaging system (a descent camera and a surface camera),
Lander_(spacecraft)
Numerical method used in structural mechanics
The finite element method (FEM) is a powerful technique originally developed for the numerical solution of complex problems in structural mechanics, and
Finite element method in structural mechanics
Finite_element_method_in_structural_mechanics
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