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searching for Differentiable curve 18 found (35 total)

Gradient theorem (3,013 words) [view diff] exact match in snippet view article find links to article

real line. If φ : U ⊆ Rn → R is a differentiable function and γ a differentiable curve in U which starts at a point p and ends at a point q, then ∫ γ ∇

Sinuosity (738 words) [view diff] exact match in snippet view article find links to article

Sinuosity, sinuosity index, or sinuosity coefficient of a continuously differentiable curve having at least one inflection point is the ratio of the curvilinear

Arc length (5,340 words) [view diff] exact match in snippet view article find links to article

the curve with respect to time. Thus the length of a continuously differentiable curve ( x ( t ) , y ( t ) ) {\displaystyle (x(t),y(t))} , for a ≤ t ≤ b

Newton's theorem about ovals (640 words) [view diff] no match in snippet view article find links to article

following theorem: There is no convex smooth (meaning infinitely differentiable) curve such that the area cut off by a line ax + by = c is an algebraic

Small-signal model (1,201 words) [view diff] no match in snippet view article find links to article

characteristics are given by a continuous, single-valued, smooth (differentiable) curve can be approximated by a linear small-signal model. Small-signal

Earle–Hamilton fixed-point theorem (799 words) [view diff] exact match in snippet view article find links to article

functions g on D with |g(z)| < 1. Define the α-length of a piecewise differentiable curve γ:[0,1] → {\displaystyle \rightarrow } D by ℓ ( γ ) = ∫ 0 1 α ( γ

List of real analysis topics (1,603 words) [view diff] exact match in snippet view article find links to article

first derivative is zero Mean value theorem – that given an arc of a differentiable curve, there is at least one point on that arc at which the derivative

Winding number (2,292 words) [view diff] exact match in snippet view article find links to article

integral of dθ. We can therefore express the winding number of a differentiable curve as a line integral: wind ( γ , 0 ) = 1 2 π ∮ γ ( x r 2 d y − y r

Eduard Study (1,685 words) [view diff] exact match in snippet view article find links to article

with the points of the dual unit sphere in D3. Later he says "A differentiable curve A(u) on the dual unit sphere, depending on a real parameter u, represents

Conservative vector field (3,529 words) [view diff] exact match in snippet view article find links to article

over piecewise-differential curves is also proved by the proof per differentiable curve component. So far it has been proven that a conservative vector field

Directional derivative (4,812 words) [view diff] exact match in snippet view article find links to article

derivations), can be defined as follows. Let γ : [−1, 1] → M be a differentiable curve with γ(0) = p and γ′(0) = v. Then the directional derivative is defined

Calculus on Euclidean space (11,442 words) [view diff] exact match in snippet view article find links to article

[ 0 , 1 ] → R n {\displaystyle c:[0,1]\to \mathbb {R} ^{n}} be a differentiable curve. Then the tangent vector to the curve c {\displaystyle c} at t {\displaystyle

Superparabola (1,713 words) [view diff] exact match in snippet view article find links to article

f(x;p)=\left(1-x^{2}\right)^{p}} When p > 0, the function describes a continuous differentiable curve on the plane. The curve can be described parametrically on the complex

Onsager–Machlup function (1,997 words) [view diff] exact match in snippet view article find links to article

≤ T} be a Wiener process on R and let φ : [0, T] → R be a twice differentiable curve such that φ(0) = X0. Define another process Xφ = {Xtφ : 0 ≤ t ≤ T}

Generalized conic (2,980 words) [view diff] exact match in snippet view article find links to article

interpretation of conics, by retaining a single point F for the focus, any differentiable curve d serving as the directrix, and e > 0, the eccentricity. Let X be

Riemannian connection on a surface (10,206 words) [view diff] exact match in snippet view article find links to article

parallel transport in the setting of frame bundles: Every continuously differentiable curve in M can be lifted to a curve in F in such a way that the tangent

Path integrals in polymer science (7,086 words) [view diff] exact match in snippet view article find links to article

configurations in which the shape of the polymer is close to a continuous and differentiable curve. Thus far, the path integral approach didn't avail us of any novel

Diffusion model (14,257 words) [view diff] exact match in snippet view article find links to article

interpolation x t {\displaystyle x_{t}} is replaced with any time-differentiable curve that connects x 0 {\displaystyle x_{0}} and x 1 {\displaystyle x_{1}}