Assertion: curvature | /r/HasProperty | positive
Facets:
value: for convex landforms
type: TRANSITIVE-OBJECT
value: intuitively
type: MANNER
Source sentences:
text: When cosmologists speak of the universe as being "open" or "closed", they most commonly are referring to whether the curvature is negative or positive.
text: When cosmologists speak of the universe as being "open" or "closed", they most commonly are referring to whether the curvature is negative or positive.
text: Intuitively, curvature is a positive number that describes how quickly a parametric curve is curving instantaneously.
text: This is easily visualized in the case when the curvature is a positive constant and the torsion vanishes.
text: The curvature is taken to be positive if the curve turns in the same direction as the surface's chosen normal, and otherwise negative.
text: The sign of the curvature depends on the choice of normal: the curvature is positive if the surface curves "towards" the normal.
text: In this book, we assume (unless otherwise specified) that a curvature is positive for convex landforms (eg, hills and ridges), and negative for concave ones (eg, depressions and valleys).
text: You can verify that this is less than $\pi r^2$, and hence that the curvature of the surface of the sphere is positive, by drawing the graphs of $y=\cos x$ and $y = 1 - {x^2\over 2}$ on the same axes and showing that $\cos
text: so the curvature at that point is positive.
text: The curvature is negative, and is measured by the angle by which the curve overshoots.
text: As you have to walk uphill and downhill as well as around the post you walk farther than you would walk on flat ground showing that the curvature at that point is negative.
text: so the curvature at that point is negative.