Artificial intelligent assistant

paraboloidal

answer Answers

ProphetesAI is thinking...

MindMap

Sources

1
Paraboloid - Wikipedia
In geometry, a paraboloid is a quadric surface that has exactly one axis of symmetry and no center of symmetry. en.wikipedia.org
en.wikipedia.org 0.0 10.0 0.0
2
Paraboloidal coordinates - Wikipedia
Paraboloidal coordinates ... that generalize two-dimensional parabolic coordinates. They possess elliptic paraboloids as one-coordinate surfaces. As such, they ... en.wikipedia.org
en.wikipedia.org 0.0 5.0 0.0
3
PARABOLOID Definition & Meaning - Merriam-Webster
The meaning of PARABOLOID is a surface all of whose intersections by planes are either parabolas and ellipses or parabolas and hyperbolas. www.merriam-webster.com
www.merriam-webster.com 0.0 3.0 0.0
4
paraboloidal
paraboˈloidal, a. [f. as prec. + -al1.] Of the form of a paraboloid.1825 J. Nicholson Operat. Mechanic 575 Circular [domes] may be spherical, spheroidal, ellipsoidal, hyperboloidal, paraboloidal, &c. 1876 G. F. Chambers Astron. 759 Using, instead of a spherical, a paraboloidal speculum. Oxford English Dictionary
prophetes.ai 0.0 3.0 0.0
5
Paraboloid -- from Wolfram MathWorld
The surface of revolution of the parabola which is the shape used in the reflectors of automobile headlights. mathworld.wolfram.com
mathworld.wolfram.com 0.0 2.0 0.0
6
paraboloidal mirror | Photonics Dictionary
A concave mirror that has the form of a paraboloid of revolution. The paraboloidal mirror may have only a portion of a paraboloidal surface through which the ... www.photonics.com
www.photonics.com 0.0 2.0 0.0
7
Paraboloidal coordinates
Paraboloidal coordinates are three-dimensional orthogonal coordinates that generalize two-dimensional parabolic coordinates. For instance, the Laplace equation and Helmholtz equation are both separable in paraboloidal coordinates. wikipedia.org
en.wikipedia.org 0.0 1.5 0.0
8
The Fascinating Geometry and Practical Uses of the Paraboloid
A paraboloid is a three-dimensional surface generated by rotating a parabola around its axis. It is a fundamental shape in mathematics and has a variety of ... medium.com
medium.com 0.0 1.0 0.0
9
Paraboloid | Surfaces, Quadrics, Hyperbolic | Britannica
Paraboloid, an open surface generated by rotating a parabola (qv) about its axis. If the axis of the surface is the z axis and the vertex is at the origin. www.britannica.com
www.britannica.com 0.0 1.0 0.0
10
4.4: The Paraboloid - Physics LibreTexts
At z=h, the cross section is an ellipse of semi major and minor axes equal to a and b respectively. The section in the plane y=0 is a parabola ... phys.libretexts.org
phys.libretexts.org 0.0 1.0 0.0
11
Ellipsoidal and Paraboloidal Reflectors - Newport Corporation
Paraboloidal reflectors collect radiation from a source at its focal point and reflect it as a collimated beam, parallel to the axis. Alternatively, they can ... www.newport.com
www.newport.com 0.0 1.0 0.0
12
Paraboloidal Coordinates How would one find the transforms for paraboloidal coordinate systems. ie) I want to find $x,y$, and $z$ in terms of other variables so that I can use the Jacobian to find the differential vol...
If you use cylindrical coordinates \begin{align} x &= r \cos \theta \\\ y &= r \sin \theta \\\ z &= z \end{align} then $$ z = 16 - r^2 $$ and $$ \frac{D(x,y,z)}{D(r,\theta,z)} = r. $$ which leads to a pretty easy volume calculation (if top and bottom of paraboloid are simple enough).
prophetes.ai 0.0 0.90000004 0.0
13
Using paraboloidal coordinates I have the 3-dimensional paraboloidal coordinates $$s_{\pm}=\sqrt{x^2+y^2+z^2}\pm z$$ $$\phi=ArcTan(y/x)$$ with the inverse transformation $$x=\sqrt{s_+ \cdot s_-}\cdot cos(\phi)$$ $$y=...
\end{eqnarray} $$ These coordinates are known as _Paraboloidal_ coordinates $(\phi,u,v)$. We can call then the _partly squared paraboloidal_ or the _NicoDean_ coordinates...
prophetes.ai 0.0 0.6 0.0
14
Parabolic reflector
A parabolic (or paraboloid or paraboloidal) reflector (or dish or mirror) is a reflective surface used to collect or project energy such as light, sound Ideally, the reflector would be exactly paraboloidal at all times. wikipedia.org
en.wikipedia.org 0.0 0.3 0.0
15
paraboloid
paraboloid, n. (a.) Geom. (pəˈræbəlɔɪd) Also 7 -oeides, -oeid, 8–9 -oide. [In form, ad. Gr. παραβολοειδής a. (in a different sense), whence in 17th c. use paraboloeides: see parabola and -oid, and cf. F. paraboloïde.] † 1. A parabola of a higher degree: = parabola b.1656 Hobbes Six Lessons Wks. 1845... Oxford English Dictionary
prophetes.ai 0.0 0.3 0.0