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the surface gradient is a vector differential operator that is similar to the conventional gradient. The distinction is that the surface gradient takes
Surface_gradient
Gradient whose components are spatial derivatives
Image gradient Time derivative Material derivative Structure tensor Surface gradient Kreyszig, E. (1999). Advanced Engineering Mathematics. Wiley. ISBN 978-0-471-15496-9
Spatial_gradient
Multivariate derivative (mathematics)
In vector calculus, the gradient of a scalar-valued differentiable function f {\displaystyle f} of several variables is the vector field (or vector-valued
Gradient
Rate of increase in wind strength per unit increase in height
In common usage, wind gradient, more specifically wind speed gradient or wind velocity gradient, or alternatively shear wind, is the vertical component
Wind_gradient
Science of using a material's refractive index for optical effects
flat surfaces, or lenses that do not have the aberrations typical of traditional spherical lenses. Gradient-index lenses may have a refraction gradient that
Gradient-index_optics
Temperature difference per unit of length
The absorption of solar light at or near the planetary surface increases the temperature gradient and may result in convection (a major process of cloud
Temperature_gradient
Angle to the horizontal plane
The grade (US) or gradient (UK) (also called slope, incline, mainfall, pitch or rise) of a physical feature, landform or constructed line is either the
Grade_(slope)
Rate of temperature increase with depth in Earth's interior
Geothermal gradient is the rate of change in temperature with respect to increasing depth in Earth's interior. As a general rule, the crust temperature
Geothermal_gradient
Term in road design
Drainage gradient (DG) is a term in road design, defined as the combined slope due to road surface cross slope (CS) and longitudinal slope (hilliness)
Drainage_gradient
Analysis of terrain
disadvantages. The surface normal at any point on the terrain surface is a vector ray that is perpendicular to the surface. The surface gradient ( ∇ f {\displaystyle
Geomorphometry
Concept in fluid dynamics
of a liquid due to gradients in the surface tension of the liquid. Diffusion is of whatever is creating the gradient in the surface tension. Thus as the
Marangoni_number
Space rate of variation of pressure in a given direction
gradient is a two-dimensional vector resulting from the projection of the pressure gradient onto a local horizontal plane. Near the Earth's surface,
Pressure_gradient
Compass direction that a slope faces
is complemented by grade (or inclination angle) to characterize the surface gradient. Aspect can have a strong influence on temperature. This is because
Aspect_(geography)
Optimization algorithm
Gradient descent is a method for unconstrained mathematical optimization. It is a first-order iterative algorithm for minimizing a differentiable multivariate
Gradient_descent
Unsorted glacial sediment
flow tills vary, and can depend on factors such as water content, surface gradient, and debris characteristics. Generally, flow tills with a higher water
Till
Mathematical descriptions of molecular diffusion
substrate surface and a near-surface concentration gradient is never formed; It can also be used to predict the adsorption rate of molecules on the surface when
Fick's_laws_of_diffusion
Sustainable energy from sea and river water
Osmotic power, salinity gradient power or blue energy is the energy available from the difference in the salt concentration between seawater and river
Osmotic_power
Physical phenomenon between two fluids
regions of low surface tension. The surface tension gradient can be caused by concentration gradient or by a temperature gradient (surface tension is an
Marangoni_effect
Force resulting from a difference in pressure across a surface
fluid mechanics, the pressure-gradient force is the force that results when there is a difference in pressure across a surface. In general, a pressure is
Pressure-gradient_force
Variation of the redox potential with distance (or depth)
with an oxidizing environment at the surface and increasingly reducing conditions below the surface. Redox gradients are generally understood at the macro
Redox_gradient
Evaluates a line integral through a gradient field using the original scalar field
The gradient theorem, also known as the fundamental theorem of calculus for line integrals, says that a line integral through a gradient field can be evaluated
Gradient_theorem
Computer vision framework
Gradient vector flow (GVF), a computer vision framework introduced by Chenyang Xu and Jerry L. Prince, is the vector field that is produced by a process
Gradient_vector_flow
Line or vector perpendicular to a curve or a surface
y,z)} on the surface is given by the gradient n = ∇ F ( x , y , z ) . {\displaystyle \mathbf {n} =\nabla F(x,y,z).} since the gradient at any point is
Normal_(geometry)
Elliptic partial differential equation
difference between V and the gradient of f. In order to effectively apply Poisson's equation to the problem of surface reconstruction, it is necessary
Poisson's_equation
Detachment of a boundary layer from a surface into a wake
gradient d u o / d s ( s ) < 0 {\displaystyle du_{o}/ds(s)<0} along the surface, which in turn is directly related to the pressure and its gradient by
Flow_separation
Type of gradient noise in computer graphics
Perlin noise is a type of gradient noise developed by Ken Perlin in 1982. It has many uses, including but not limited to: procedurally generating terrain
Perlin_noise
Study of mathematical algorithms for optimization problems
only (sub)gradient information and others of which require the evaluation of Hessians. Methods that evaluate gradients, or approximate gradients in some
Mathematical_optimization
Mathematical identities
{\displaystyle f(x,y,z)} in three-dimensional Cartesian coordinate variables, the gradient is the vector field: grad ( f ) = ∇ f = ( ∂ ∂ x , ∂ ∂ y , ∂ ∂ z )
Vector_calculus_identities
Physical phenomenon
"surface waves" in that they can be guided along with a refractive index gradient or along an interface between two media having different dielectric constants
Surface_wave
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
Optimization algorithm for artificial neural networks
In machine learning, backpropagation is a gradient computation method commonly used for training a neural network in computing parameter updates. It is
Backpropagation
Layer of a turbulent fluid affected by interaction with a surface
from the interface. Surface layers are characterized by large normal gradients of tangential velocity and large concentration gradients of any substances
Surface_layer
surface, where the flow is driven by a concentration gradient in the solution. This is distinct from flow relative to a surface driven by a gradient in
Diffusiophoresis and diffusioosmosis
Diffusiophoresis_and_diffusioosmosis
Surface representing the interface between two different fluids
\gamma } is the surface tension associated with the interface, and ∇ S {\displaystyle \scriptstyle \nabla _{S}} is the surface gradient. Note that the
Capillary_surface
Natural movement of air or other gases relative to a planet's surface
windsurfing. In gliding, wind gradients just above the surface affect the takeoff and landing phases of flight of a glider. Wind gradient can have a noticeable
Wind
Aspects of fluid mechanics involving fluid flow
describe a layer of relatively inviscid fluid with a free surface, in which surface gradients are small. Darcy's law is used for flow in porous media,
Fluid_dynamics
Integration over a non-flat region in 3D space
particularly multivariable calculus, a surface integral is a generalization of multiple integrals to integration over surfaces. It can be thought of as the double
Surface_integral
Vector difference of geostrophic wind movement at high and low altitudes
unit vector, and the subscript "p" on the gradient operator denotes gradient on a constant pressure surface) with respect to pressure, and integrate from
Thermal_wind
Surface slope along a watercourse
Stream gradient (or stream slope) is the grade (or slope) of a stream. It is measured by the ratio of drop in elevation and horizontal distance. It is
Stream_gradient
Derivative of a function with multiple variables
} This vector is called the gradient of f at a. If f is differentiable at every point in some domain, then the gradient is a vector-valued function ∇f
Partial_derivative
Lowest part of the atmosphere directly influenced by contact with the planetary surface
affected by surface drag and turns across the isobars (see Ekman layer for more detail). Typically, due to aerodynamic drag, there is a wind gradient in the
Planetary_boundary_layer
Matrix of partial derivatives of a vector-valued function
scalar-valued function of several variables is (the transpose of) its gradient and the gradient of a scalar-valued function of a single variable is its derivative
Jacobian matrix and determinant
Jacobian_matrix_and_determinant
Vehicle dynamics terms
if the understeer gradient is positive, oversteer if the understeer gradient is negative, and neutral steer if the understeer gradient is zero. Car and
Understeer_and_oversteer
Rate of change of speed of sound with distance
inversely proportional to the gradient. When the sun warms the Earth's surface, there is a negative temperature gradient in atmosphere. The speed of sound
Sound_speed_gradient
Pressure gradient in which pressure increases in the direction of fluid flow
along the surface and hence the lift and drag characteristics. Turbulent boundary layers tend to be able to sustain an adverse pressure gradient better than
Adverse_pressure_gradient
Vector operator in vector calculus
{G} ).} The Laplacian of a scalar field is the divergence of the field's gradient: div ( grad φ ) = Δ φ . {\displaystyle \operatorname {div} (\operatorname
Divergence
Measure of electric field through surface
on an electric charge at any point in space. The electric field is the gradient of the electric potential. An electric charge, such as a single electron
Electric_flux
Distinct layer of temperature change in a body of water
water, as in an ocean or lake; or air, e.g. an atmosphere) with a high gradient of distinct temperature differences associated with depth. In the ocean
Thermocline
Process of water movement through a plant
the hydraulic conductivity of the soil and the magnitude of the pressure gradient through the soil. Both of these factors influence the rate of bulk flow
Transpiration
State of balance between external forces on a fluid and internal pressure gradient
as gravity, are balanced by a pressure-gradient force. In the planetary physics of Earth, the pressure-gradient force prevents gravity from collapsing
Hydrostatic_equilibrium
Definite integral of a scalar or vector field along a path
scattering theory. Divergence theorem Gradient theorem Methods of contour integration Nachbin's theorem Line element Surface integral Volume element Volume integral
Line_integral
Layer where the density gradient is greatest within a body of water
A pycnocline is the cline or layer where the density gradient (∂ρ/∂z) is greatest within a body of water. An ocean current is generated by the forces
Pycnocline
Operation in mathematical calculus
general manifolds (curves, surfaces, and their higher-dimensional analogs). The exterior derivative plays the role of the gradient and curl of vector calculus
Integral
Boundary between two distinct water masses
determined using gradient thresholding: the position of the front is determined based on where the spatial gradient of a quantity, such as sea-surface height or
Front_(oceanography)
Transport of dissolved species from the highest to the lowest concentration region
concentration to a region of lower concentration. Diffusion is driven by a gradient in Gibbs free energy or chemical potential. It is possible to diffuse "uphill"
Diffusion
Four-vector analogue of the gradient operation
geometry, the four-gradient (or 4-gradient) ∂ {\displaystyle {\boldsymbol {\partial }}} is the four-vector analogue of the gradient ∇ → {\displaystyle
Four-gradient
Difference in wind speed or direction over a short distance
shear (/ʃɪər/; also written windshear), sometimes referred to as wind gradient, is a difference in wind speed and/or direction over a relatively short
Wind_shear
Circulation density in a vector field
reveals the relation between curl (rotor), divergence, and gradient operators. Unlike the gradient and divergence, curl as formulated in vector calculus does
Curl_(mathematics)
Statistical approach
Box–Behnken design Central composite design Gradient-enhanced kriging (GEK) IOSO method based on response-surface methodology Optimal designs Plackett–Burman
Response_surface_methodology
Model of atmospheric motion
to allow for different surface roughness.) In the cross-stream momentum equation, the Coriolis force and normal pressure gradient are both negligible, leading
Balanced_flow
Technique in analytical chemistry
phase to reduce the surface tension of water. Gradient elution uses this effect by automatically reducing the polarity and the surface tension of the aqueous
High-performance liquid chromatography
High-performance_liquid_chromatography
Theorem in vector calculus
curl of the vector field over some surface, to the line integral of the vector field around the boundary of the surface. The classical theorem of Stokes
Stokes'_theorem
Specific measurement of liquid pressure above a vertical datum
height of the water surface in the tube relative to a common datum. The hydraulic head can be used to determine a hydraulic gradient between two or more
Hydraulic_head
Physical quantity
fluids or Euler equations (fluid dynamics) for ideal inviscid fluid, the gradient of pressure becomes a function of body forces only. The Navier-Stokes momentum
Hydrostatic_pressure
Differentiation under the integral sign formula
derivative of 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
Leibniz_integral_rule
Oil and gas field in Kern County
generally into the irrigation canal system, but because of the flat surface gradient most rainfall soaks directly into the ground. Land use in the vicinity
Semitropic_Oil_Field
Unit of gravitational gradient
so the sum of gravity gradient along any three perpendicular directions is 0. Near the surface of earth, the equipotential surface is nearly spherical,
Eotvos_(unit)
Measure of misalignment between the gradients of pressure and density in a fluid
a stratified fluid is a measure of how misaligned the gradient of pressure is from the gradient of density in a fluid. In meteorology, a baroclinic flow
Baroclinity
In linguistics, conformity with grammar
whether a particular word, phrase, or clause is well-formed. This problem of gradient well-formedness, uncertainty about the well-formedness of a particular
Well-formedness
Theorem in calculus
through a closed surface to the divergence of the field in the volume enclosed. More precisely, the divergence theorem states that the surface integral of
Divergence_theorem
Two-dimensional manifold
function from R3 to R whose gradient is nowhere zero, then the locus of zeros of f does define a surface, known as an implicit surface. If the condition of non-vanishing
Surface_(topology)
Directional mass flow of oceanic water
circulation that is driven by global density gradients created by surface heat and freshwater fluxes. Wind-driven surface currents (such as the Gulf Stream) travel
Ocean_current
Region in space where every point is at the same potential
an equipotential surface (or potential isosurface), but it can also be a three-dimensional mathematical solid in space. The gradient of the scalar potential
Equipotential
Image processing method
derivative expression such as the gradient magnitude, and then searching for local directional maxima of the gradient magnitude using a computed estimate
Edge_detection
Matrix of second derivatives
function f {\displaystyle f} is the transpose of the Jacobian matrix of the gradient of the function f {\displaystyle f} ; that is: H ( f ( x ) ) = J ( ∇ f
Hessian_matrix
Biological membrane that separates the interior of a cell from its outside environment
and is propelled by the concentration gradient created by each side of the membrane. Such a concentration gradient across a semipermeable membrane sets
Cell_membrane
Deviation from the normal change of an atmospheric property with altitude
conditions, the normal vertical temperature gradient is inverted so that the air is colder near the surface of the Earth. This can occur when, for example
Inversion_(meteorology)
Curve along which a 3-D surface is at equal elevation
hypothetical surface with one or more horizontal planes. The configuration of these contours allows map readers to infer the relative gradient of a parameter
Contour_line
Optical illusion caused by bending of light
the variation between the hot air at the surface of the road and the denser cool air above it causes a gradient in the refractive index of the air. This
Mirage
Type of weather map
at the leading edge of a sharp temperature gradient on an isotherm analysis, often marked by a sharp surface pressure trough. Cold fronts can move up to
Surface_weather_analysis
Concept in atmospheric science
reflects the horizontal pressure gradient as the driving force of atmospheric motion, while the actual near-surface wind requires the synergistic modulation
Geostrophic_wind
Ionization of air around a high-voltage conductor
field (potential gradient) at the surface of the conductor exceeds a critical value, the dielectric strength or disruptive potential gradient of the fluid
Corona_discharge
Instantaneous rate of change (mathematics)
real-valued function of several variables, the Jacobian matrix reduces to the gradient vector. A function of a real variable f ( x ) {\displaystyle f(x)} is differentiable
Derivative
Differential operator in mathematics
or Laplacian is a differential operator given by the divergence of the gradient of a scalar function on Euclidean space. It is usually denoted by the symbols
Laplace_operator
Concept in petrophysics
gradient inside the pore space of the rock column from the surface of the ground down to the total depth (TD), as compared to the pressure gradient of
Pore_pressure_gradient
Conditions for switching order of integration in calculus
condensation Dirichlet Abel Vector Gradient Divergence Curl Laplacian Directional derivative Identities Theorems Gradient Green's Stokes' Divergence Generalized
Fubini's_theorem
with respect to an adjacent charged surface. This force might be electric, pressure gradient, concentration gradient, or gravity. In addition, the moving
Electrokinetic_phenomena
Differential calculus on function spaces
suggests that if we can find a function ψ {\displaystyle \psi } whose gradient is given by P , {\displaystyle P,} then the integral A {\displaystyle A}
Calculus_of_variations
Ramp from elevated sidewalk to road
inches (10–15 cm) above the street surface) a curb cut is finished at an intermediate gradient that connects both surfaces, sometimes with tactile paving
Curb_cut
City in Metro Manila, Philippines
specifically in the Canumay district. This hilly terrain, characterized by a surface gradient of approximately 0.55%, features a gentle slope that contributes to
Valenzuela,_Metro_Manila
Fluid surface of constant density
isopycnic surface is a surface of constant density inside a fluid. Isopycnic surfaces contrast with isobaric or isothermal surfaces, which describe surfaces of
Isopycnic
Certain vector fields are the sum of an irrotational and a solenoidal vector field
{R} )} is a scalar potential, ∇ Φ {\displaystyle \nabla \Phi } is its gradient, and ∇ ⋅ R {\displaystyle \nabla \cdot \mathbf {R} } is the divergence
Helmholtz_decomposition
Three-dimensional geometry of track layouts and associated measurements
curved track is contained within the area related to cant gradient. The term track gradient is relative elevation of the two rails along the track. This
Track_geometry
When potential energy difference depends only on displacement
P}{\partial z}}\right),} where ∇P is the gradient of P and the second part of the equation is minus the gradient for a function of the Cartesian coordinates
Scalar_potential
Tendency of a fluid jet to stay attached to a surface of any form
external and wall surface pressures of the jet, creating a pressure gradient depending upon h/r, the relative curvature. This pressure gradient can appear
Coandă_effect
Boundary separating two masses of air of different densities
warm side of a tightly packed temperature gradient. On surface analysis charts, this temperature gradient is visible in isotherms and can sometimes also
Weather_front
River section with increased velocity and turbulence
the river bed has a relatively steep gradient, causing an increase in water velocity and turbulence. Flow, gradient, constriction, and obstacles are four
Rapids
Body of salt water covering most of Earth
towards the surface. Deep ocean water has a temperature between −2 °C (28 °F) and 5 °C (41 °F) in all parts of the globe. The temperature gradient over the
Ocean
Corrective lens used in eyeglasses
the bottom of the lens. The length of the progressive power gradient on the lens surface depends on the design of the lens, with a final addition power
Progressive_lens
Device used to produce magnetic fields
a device for producing a large volume of almost constant (or constant-gradient) magnetic field. It is named in honour of the Scottish physicist James
Maxwell_coil
SURFACE GRADIENT
SURFACE GRADIENT
Boy/Male
Irish
Surname.
Boy/Male
Irish
Surname.
Boy/Male
Irish American English
Surname.
Surname or Lastname
English (Cumbria and Durham)
English (Cumbria and Durham) : variant spelling of Furness.
Boy/Male
Irish
Surname.
Boy/Male
Indian, Sanskrit
Surface of the Earth
Surname or Lastname
Probably an Americanized spelling of the Swiss German surname Bunz (see Bunce).English
Probably an Americanized spelling of the Swiss German surname Bunz (see Bunce).English : possibly a variant of Bunt.
Boy/Male
Irish Gaelic
Surname.
Boy/Male
Irish
Surname.
Boy/Male
Indian
Part of Sun
Boy/Male
Irish American Biblical Hebrew
Surname.
Boy/Male
Irish Gaelic
Surname.
Boy/Male
Irish
Surname.
Boy/Male
Irish
Surname.
Boy/Male
Irish American Welsh
Surname.
Boy/Male
Scottish American English
Surname.
Boy/Male
Irish
Surname.
Boy/Male
Irish American Welsh Scandinavian Scottish English
Surname.
Boy/Male
Irish
Surname.
Boy/Male
Irish
Surname.
SURFACE GRADIENT
SURFACE GRADIENT
Girl/Female
Hindu, Indian, Malayalam, Sanskrit
Pure Holy Water
Girl/Female
Hindu, Indian
Truly Lovable; Lovable
Boy/Male
Indian, Sanskrit
Lamp Black
Girl/Female
Indian
Golden Chain
Male
Arthurian
, (Sir), 1st knight of the Round Table.
Surname or Lastname
English
English : variant of Pond.
Boy/Male
Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Punjabi, Sanskrit, Sikh
Pure
Female
English
English form of French Amélie, AMELIE means "work."
Girl/Female
Norse
Battle maiden.
Male
Italian
Variant spelling of Italian Crocifisso, CROCCIFIXIO means "cross; crucifix" or "way of the cross."
SURFACE GRADIENT
SURFACE GRADIENT
SURFACE GRADIENT
SURFACE GRADIENT
SURFACE GRADIENT
v. t.
To work over the surface or soil of, as ground, in hunting for gold.
a.
meeting a curve or surface at a point and having at that point the same direction as the curve or surface; -- said of a straight line, curve, or surface; as, a line tangent to a curve; a curve tangent to a surface; tangent surfaces.
p. pr. & vb. n.
of Surface
n.
An inclosed place in which heat is produced by the combustion of fuel, as for reducing ores or melting metals, for warming a house, for baking pottery, etc.; as, an iron furnace; a hot-air furnace; a glass furnace; a boiler furnace, etc.
n.
Surface; superficies; externality.
v. t.
To name or call by an appellation added to the original name; to give a surname to.
v. t.
To give a surface to; especially, to cause to have a smooth or plain surface; to make smooth or plain.
a.
Having the surface smooth and polished; -- said of leaves, the surfaces of shells, etc.
n.
That part of the side which is terminated by the flank prolonged, and the angle of the nearest bastion.
n.
A magnitude that has length and breadth without thickness; superficies; as, a plane surface; a spherical surface.
n.
The exterior part of anything that has length and breadth; one of the limits that bound a solid, esp. the upper face; superficies; the outside; as, the surface of the earth; the surface of a diamond; the surface of the body.
n.
An instrument for gauging or testing a plane surface. See Surface gauge, under Surface.
n.
Alt. of Serfdom
n.
To throw out, or exhale, as from a furnace; also, to put into a furnace.
n.
Surface; body; substance.
n.
Hence, outward or external appearance.
imp. & p. p.
of Surface
n.
A form of machine for dressing the surface of wood, metal, stone, etc.