experimental

Entry: Curvature

URI: http://registry.it.csiro.au/def/qudt/1.1/qudt-quantity/Curvature

no description supplied

Core metadata

is a space and time quantity kind | quantity kind
submitted bySimon Cox

All registration metadata

date submitted 10 Aug 2015 10:20:31.832
definition
entity Curvature
source graph graph

item class space and time quantity kind | quantity kind
label Curvature
notation Curvature
register qudt quantity
status status experimental
submitter
account name simon.cox@csiro.au
name Simon Cox

type register item
version info 1

Download formats available

RDF ttlplainwith metadata
RDF/XMLplainwith metadata
JSON-LDplainwith metadata
CSVplainwith metadata
Export allexport
Pane is loading ...
Select tab to expand

Definition

description The canonical example of extrinsic curvature is that of a circle, which has curvature equal to the inverse of its radius everywhere. Smaller circles bend more sharply, and hence have higher curvature. The curvature of a smooth curve is defined as the curvature of its osculating circle at each point. The osculating circle of a sufficiently smooth plane curve at a given point on the curve is the circle whose center lies on the inner normal line and whose curvature is the same as that of the given curve at that point. This circle is tangent to the curve at the given point. That is, given a point P on a smooth curve C, the curvature of C at P is defined to be 1/R where R is the radius of the osculating circle of C at P. The magnitude of curvature at points on physical curves can be measured in diopters (also spelled dioptre) — this is the convention in optics. [Wikipedia]
exact match Curvature | Curvature
label Curvature
top concept of Quantity kinds
type space and time quantity kind | quantity kind

Links

Exact match for

Top concept of