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searching for Directional derivative 27 found (208 total)

Holonomic basis (465 words) [view diff] exact match in snippet view article find links to article

It is possible to make an association between such a basis and directional derivative operators. Given a parameterized curve C on the manifold defined

Double layer potential (263 words) [view diff] exact match in snippet view article find links to article

{y} )} where ρ denotes the dipole distribution, ∂/∂ν denotes the directional derivative in the direction of the outward unit normal in the y variable, and

Edge detection (5,199 words) [view diff] exact match in snippet view article find links to article

first-order directional derivative in the v {\displaystyle v} -direction L v {\displaystyle L_{v}} , should have its first order directional derivative in the

Introduction to the mathematics of general relativity (3,174 words) [view diff] exact match in snippet view article find links to article

derivative is a generalization of the directional derivative from vector calculus. As with the directional derivative, the covariant derivative is a rule

Ridge detection (4,695 words) [view diff] exact match in snippet view article find links to article

with a coordinate transformation (a rotation) applied to local directional derivative operators, ∂ p = sin ⁡ β ∂ x − cos ⁡ β ∂ y , ∂ q = cos ⁡ β ∂ x +

Tangent vector (1,063 words) [view diff] exact match in snippet view article find links to article

vector in R n {\displaystyle \mathbb {R} ^{n}} . We define the directional derivative in the v {\displaystyle \mathbf {v} } direction at a point x ∈ R

Clarke generalized derivative (392 words) [view diff] exact match in snippet view article find links to article

f:\mathbb {R} ^{n}\rightarrow \mathbb {R} ,} the Clarke generalized directional derivative of f {\displaystyle f} at x ∈ R n {\displaystyle x\in \mathbb {R}

Automatic differentiation (6,146 words) [view diff] exact match in snippet view article find links to article

efficiency and mechanisms as univariate functions by adopting a directional derivative operator. That is, if it is sufficient to compute y ′ = ∇ f ( x

Maximum principle (3,699 words) [view diff] exact match in snippet view article find links to article

nonnegative; see the statement of the theorem below. Lastly, note that the directional derivative of h at x0 along the inward-pointing radial line of the annulus

Malliavin calculus (2,660 words) [view diff] exact match in snippet view article find links to article

and h ∈ H {\displaystyle h\in {\mathcal {H}}} one now defines the directional derivative ⟨ D F , h ⟩ = D h F = lim ε → 0 ( ρ ( ε h ) − I ) F ε . {\displaystyle

Birkhoff's theorem (electromagnetism) (941 words) [view diff] exact match in snippet view article

\end{aligned}}} By the definition of the Lie derivative as the directional derivative along V {\displaystyle V} V j ( r i ) = ϵ j k i r k 0 = L V E i

Support function (1,388 words) [view diff] exact match in snippet view article find links to article

support sets. If A is compact and convex, and hA'(u;x) denotes the directional derivative of hA at u ≠ 0 in direction x, we have h A ′ ( u ; x ) = h A ∩ H

Sobel operator (2,564 words) [view diff] case mismatch in snippet view article find links to article

H. Farid and E. P. Simoncelli, Optimally Rotation-Equivariant Directional Derivative Kernels, Int'l Conf Computer Analysis of Images and Patterns, pp

Image derivative (2,101 words) [view diff] case mismatch in snippet view article find links to article

H. Farid and E. P. Simoncelli, Optimally Rotation-Equivariant Directional Derivative Kernels, Int'l Conf Computer Analysis of Images and Patterns, pp

Numerical range (2,893 words) [view diff] exact match in snippet view article find links to article

}}x\in \mathbb {C} ^{n}.} At x = x 0 {\textstyle x=x_{0}} , the directional derivative in any direction y {\textstyle y} must vanish to maintain non-negativity

Poisson bracket (4,008 words) [view diff] exact match in snippet view article find links to article

Xgf denotes the vector field Xg applied to the function f as a directional derivative, and L X g f {\displaystyle {\mathcal {L}}_{X_{g}}f} denotes the

Wade Ellis (1,417 words) [view diff] exact match in snippet view article find links to article

Association of America, and in 1954 he presented his paper On the directional derivative and was elected as an officer of the organization's Program Committee

Robert Haralick (2,324 words) [view diff] case mismatch in snippet view article find links to article

Intelligence, Volume 6, Number 1, January, 1984, pages 58-68. Integrated Directional Derivative Gradient Operator, (with O.A. Zuniga), IEEE Transactions on Systems

Mathematics of general relativity (7,044 words) [view diff] exact match in snippet view article find links to article

tensor and vector field. The Lie derivative of a scalar is just the directional derivative: L X ϕ = X a ∇ a ϕ = X a ∂ ϕ ∂ x a {\displaystyle {\mathcal {L}}_{X}\phi

Large deformation diffeomorphic metric mapping (7,244 words) [view diff] exact match in snippet view article find links to article

with respect to a first order variation of the vector field. The directional derivative calculates the Gateaux derivative as calculated in Beg's original

Wave equation (10,783 words) [view diff] exact match in snippet view article find links to article

equation can be solved by interpreting it as telling us that the directional derivative of v in the (1, -c) direction is 0. This means that the value of

Bregman divergence (4,475 words) [view diff] no match in snippet view article find links to article

\partial B(x,\epsilon )\subset X} . Then consider the "radial-directional" derivative of f {\displaystyle f} on the Euclidean sphere ∂ B ( x , ϵ ) {\displaystyle

Causal fermion systems (5,050 words) [view diff] exact match in snippet view article find links to article

{\displaystyle M} , and to denote the combination of multiplication and directional derivative by ∇ u g ( x ) := a ( x ) g ( x ) + ( D u g ) ( x ) {\displaystyle

Legendre transformation (8,917 words) [view diff] exact match in snippet view article find links to article

the covector that sends w ∈ E x {\textstyle w\in E_{x}} to the directional derivative d d t | t = 0 L ( v + t w ) ∈ R {\textstyle \left.{\frac

Non-expanding horizon (3,938 words) [view diff] exact match in snippet view article find links to article

horizon. Also, ∆ is the standard symbol for both an NEH and the directional derivative ∆ := n a ∇ a {\displaystyle :=n^{a}\nabla _{a}} in NP formalism

Glossary of aerospace engineering (24,147 words) [view diff] exact match in snippet view article find links to article

right-hand side is called perturbation or virtual displacement. The directional derivative δ S {\displaystyle \delta {\cal {S}}} on the left is known as variation

Neumann–Poincaré operator (11,017 words) [view diff] exact match in snippet view article find links to article

closure of Ω its normal derivative ∂nf at a boundary point is the directional derivative in the direction of the outward pointing normal vector. Applying