noun
definition
The shape of something curved.
definition
The extent to which a subspace is curved within a metric space.
definition
The extent to which a Riemannian manifold is intrinsically curved.
Examples of curvatures in a Sentence
These movements are spoken of as heliotropic and apheliotropic curvatures.
These movements are spoken of as different kinds of geotropic curvatures.
In like manner may be treated other cases, such as that of a primary wave-front of unequal principal curvatures.
The extension of the image away from the axis or size of field available for covering a photographic plate with fair definition is a function in the first place of the ratio between focal length and aperture, the longer focus having the greater relative or angular covering power, and in the second a function of the curvatures of the lenses, in the sense that the objective must be free from coma at the foci of oblique pencils or must fulfil the sine condition (see Aberration).
In the case of a single lens of glass with the most favourable curvatures, Sf is about equal to a 2 f, so that a 4 must not exceed off.
Hence impossibly deep curvatures would be required for such a triple objective of any normal focal length.
He thus showed that at a curved part of the surface, a superficial particle would be urged towards the centre of curvature of the surface, and he gave reasons for concluding that this force is proportional to the sum of the curvatures of the surface in two normal planes at right angles to each other.
Even If The Tension At The Circumference Of The Tube Acted Vertically, And The Whole Of The Liquid Below This Level Passed Into The Drop, The Calculation Would Still Be Vitiated By The Assumption That The Internal Pressure At The Level In Question Is Atmospheric. It Would Be Necessary To Consider The Curvatures Of The Fluid Surface At The Edge Of Attachment.
The crest-line of an anticline or trough-line of a syncline is rarely horizontal for any great distance; its departure from horizontality is designated the "pitch," and the fold is said to pitch (or dip) towards the north, &c. Most simple folds - with the exception of very shallow curvatures of wide area, - when considered in their entirety, are seen to be somewhat canoe-shaped in form.
In this manner lenses of short focus can be produced having lower curvatures than glass lenses necessitate.
The individual components required weaker curvatures and permitted of being more correctly manufactured, and, more particularly, the advantage of reduced aberrations was the predominant factor.
Any attempt to interfere with these directions, by placing the seedlings in abnormal positions, is frustrated by the seedlings themselves, which change their direction of growth by bringing about curvatures of the different parts of their axes, so that the root soon grows vertically downward again and the stem in the opposite direction.