🧩 Matching a shape 🗺️ Preserving angles ✅ Meeting rules

conformal

1 8.4

Keeping the angles between lines or curves the same in small areas

adjective
/kənˈfɔrməl/

Specialized

: conforme

As a result of the previous considerations, we can immediately see how the conformal transformation that takes us from the Jordan to the Einstein frame changes the gravitational properties of the solution.
conformal field theory

So we have found the explicit relation between the conformal dimension and the mass.

Examples

So you can have a conformal map, which means you you locally they are the right shape, but the sizes can vary just slightly.
The purpose of this work is to study the effects of the conformal transformation between the Jordan and the Einstein frames for the black brane solution determined in 1988.

Academic text (2018)
So this is now the idea of conformal mapping change variables.
You can map this to this by conformal mapping, but the corners will not go to the corners.
As a result, when a conformal transformation is performed, the resulting space-time may in principle possess extremely different properties.

Academic text (2018)
This can be attributed to the fact that conformal transformations do not necessarily correspond to a general coordinate transformation.

Academic text (2018)
The conformal equivalent theory in the Einstein frame corresponds to a scalar field with an exponential potential.

Academic text (2018)
The plan of the paper is as follows: in Sect. 2, we briefly discuss the conformal transformation that connects the Jordan and the Einstein theories.

Academic text (2018)
By definition, conformal transformations generalize the concept of isometries; in particular, conformal transformations are angle-preserving transformations compared to the isometries that preserve both the length and the angles between lines.

Academic text (2018)
In geometry, a conformal transformation preserves angles, allowing for accurate representation of local shapes.

Antonyms

irregular

14 3.4

Not following a usual pattern or rule

distorted

4.4

Twisted out of shape so it looks ugly or unnatural

Compounds

conformal projection

Specialized

9.9

A map that keeps small shapes and local angles correct but may change size

Surface Forms

conformal positive

Morphology

conformal = conform (semi-transparent) = con + form + al

Formed from 'conform' + '-al'; the structure is regular even if the sense is specialized.

Etymology

Conformal comes from con- 'with' and form 'shape', which gives a clear image in math: 'with the shape' of small parts. That is why a conformal map or transform keeps local shapes and angles the same.