That conforms, especially to the shape of something.
Used in a Sentence
conformal
Definitions, parts of speech, synonyms, and sentence examples for conformal.
Editorial note
The transformation is a conformal map so it should not deform angles.
Examples16
Definitions3
Parts of speech1
Quick take
That conforms, especially to the shape of something.
Meaning at a glance
The clearest senses and uses of conformal gathered in one view.
(mathematics, of a transformation) That preserves angles between intersecting curves.
(cartography, of a map projection) That preserves relative angles over small scales, at all but a limited number of distinct points.
Definitions
Core meanings and parts of speech for conformal.
adjective
That conforms, especially to the shape of something.
adjective
(mathematics, of a transformation) That preserves angles between intersecting curves.
adjective
(cartography, of a map projection) That preserves relative angles over small scales, at all but a limited number of distinct points.
Example sentences
The transformation is a conformal map so it should not deform angles.
The 'group' refers to a group scale and/or conformal transformations.
For uses involving directions, conformal maps are better, and the maps are heavily used for that.
Web Mercator is not conformal, which is admitted in the last part of the document.
A Mercator projection (ed: is a Conformal map, but) it also greatly distorts both angles and shapes as you approach the poles.
To abstract from Chalmers: cognitive software supervening on a conformal neural hardware substrate.
Edit: Just discovered that if you prefer a conformal map instead of one with equal area then you end up with the Mercator projection.
If I understand correctly, Mercator is the only conformal projection where north is always up, no matter where you zoom in.
They refer to this paper as the source of their equation 1: Cosmological Perturbation Theory in the Synchronous and Conformal Newtonian Gauges by Ma and Bertschinger.
The Mercator projection isn't the only conformal projection, but it is the only one for which north-south maps to the vertical axis, and east-west to the horizontal axis.
> I suspect the punctured sphere → disk map is conformal/biholomorphic, but I have no sources for this It doesn't look conformal to me, some right angles become acute...
I'm guessing you generate these by fixing three points along the boundary and then find the conformal map with the prescribed scale ratio at each point.
Quote examples
Summary: It's about the only conformal map out there where "north" is always up.
[Side note: In discussing the distortion of the event horizon, the author says "I suspect the punctured sphere → disk map is conformal/biholomorphic".
I don't think so, from his abstract: "Here, we show that commercially available paper can be made highly conductive with a sheet resistance as low as 1 ohm per square (Ω/sq) by using simple solution processes to achieve conformal coating of single-walled carbon nanotube (CNT) and silver nanowire films.
Proper noun examples
(Conformal: when you zoom in on it, the map that you see has the right shapes and so makes sense locally, and is not terribly distorted.) So you can pan and zoom to your heart's content.
Frequently asked questions
Short answers drawn from the clearest meanings and examples for this word.
How do you use conformal in a sentence?
The transformation is a conformal map so it should not deform angles.
What does conformal mean?
That conforms, especially to the shape of something.
What part of speech is conformal?
conformal is commonly used as adjective.