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indicatrix

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indicatrix
indicatrix (ɪndɪˈkeɪtrɪks) [mod.L., fem. of indicator: see -trix. Cf. directrix.] 1. Geom. The curve in which a given surface is cut by a plane indefinitely near and parallel to the tangent-plane at any point; so called because it indicates the nature of the curvature of the surface at that point.18... Oxford English Dictionary
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Indicatrix
Indicatrix may refer to: Differential geometry Dupin indicatrix, a conic section which describes the local shape of a surface Tissot's indicatrix, Indicatrix, a special case of the index ellipsoid in the study of crystals and refractive indices wikipedia.org
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Tissot's indicatrix
1 day ago — It doesn't have Euler Spiral[1] either, but maybe that's expecting too much. [1] http://andersk.mit.edu/euler-spiral-projection/ · reply ...
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Tangent indicatrix
In differential geometry, the tangent indicatrix of a closed space curve is a curve on the unit sphere intimately related to the curvature of the original Then the tangent indicatrix of is the closed curve on the unit sphere given by . wikipedia.org
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Curvature and Torsion of tangent indicatrix I'm trying to find the curvature and torsion of the tangent indicatrix of a curve with respect to the curvature and torsion of the initial curve, that is, if $\kappa, \tau$ ...
Actually, it's simple: $$\sigma' = \kappa N$$ $$\sigma'' = \kappa'N-\kappa^2T+\kappa\tau B$$ Thus $$\sigma' \times \sigma'' = \kappa^3B+\kappa^2\tau T$$
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Dupin indicatrix
In differential geometry, the Dupin indicatrix is a method for characterising the local shape of a surface. The indicatrix was introduced by Charles Dupin. wikipedia.org
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Problem understanding the indicatrix tangent definition I'm self studying differential geometry of curves and surfaces from a book that gives the following definition of indicatrix tangent: > Given an arc length para...
* For example, small wind forces shouldn't tear a string of hair * So this indicatrix thing is just the tangent flow curve.
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Stenotrophomonas indicatrix
Stenotrophomonas indicatrix is a Gram-negative, rod-shaped and none-spore-forming bacterium from the genus of Stenotrophomonas which has been isolated wikipedia.org
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-trix
-trix suffix, ending of Latin feminine agent-nouns (with stems in -trīc-, acc. -tricem, whence Fr. -trice: see -trice), corresponding to masculines in -tor, as adjūtrix female helper, bellātrix female warrior, imperātrix female commander, empress, inventrix female discoverer, vēnātrix huntress, etc.... Oxford English Dictionary
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Tissot's indicatrix
In cartography, a Tissot's indicatrix (Tissot indicatrix, Tissot's ellipse, Tissot ellipse, ellipse of distortion) (plural: "Tissot's indicatrices") is A single indicatrix describes the distortion at a single point. wikipedia.org
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Dactylothrix
Species Dactylothrix indicatrix Pimentel & Pujol-Luz, 2001 Distribution Ecuador. wikipedia.org
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Maximum number of times a function crosses a horizontal line Given a function $f:\mathbb{R}\rightarrow \mathbb{R}$, define $g(x)= | \\{y |f(y)=x\\}|$. Syppose that $g(x)$ is finite for all $x$. Define $a= \sup_x g(x)$...
of the function $f.$ So what you're interested in is the (global) maximum value of the Banach indicatrix. Off-hand, I don't know of any nontrivial results connected with this specific aspect of the Banach indicatrix, but the Banach indicatrix is certainly a
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basic question about closed curve From Ted Shifrin's Diff Geo notes, p. 25, He said: What curve $\Gamma$ in the unit sphere can be the Gauss map of some closed space curve $\alpha$? Since $\alpha(s)=\alpha(0)+ \int...
If $A$ is a unit vector it also describes a point on the unit sphere. The tangent space at this point consists of the vectors $v \in \mathbb{R}^3$ that satisfy $v\cdot A=0$. The equation $A\cdot x \ge 0$ describes a half space of $\mathbb{R}^3$. If you know that $x$ is on the sphere, than this is ex...
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Apophyllite-(KF)
This mineral belongs to the uniaxial (+) optical class, which means its indicatrix has a prolate sphenoid shape with a circular section, principal section wikipedia.org
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تشارلز دوبين
وتمت تسمية دويرية دوبين (Dupin cyclide) و مؤشر دوبين (Dupin indicatrix) باسمه. كان عمله الرياضي في الهندسة الوصفية والتفاضلية. wikipedia.org
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