Tangency vs Transversality - What's the difference?
tangency | transversality | see also |
The state of being tangent; an instance of (something) being tangent.
* 1999 , H. Flenner, L. O?Carroll, W. Vogel, Joins and Intersections ,
* 2004 , David A. Madsen et al., Engineering Drawing & Design , 3rd Edition,
* 2011 , Steven E. Landsburg, Price Theory and Applications , 8th Edition,
(mathematics) a property of two intersecting submanifolds, where at every intersection point, their separate tangent spaces at that point together generate the tangent space of the ambient manifold at that point.
Tangency is a see also of transversality.
As nouns the difference between tangency and transversality
is that tangency is the state of being tangent; an instance of (something) being tangent while transversality is (mathematics) a property of two intersecting submanifolds, where at every intersection point, their separate tangent spaces at that point together generate the tangent space of the ambient manifold at that point.tangency
English
Alternative forms
* tangence (relatively rare)Noun
(tangencies)page 131,
- In this section we will apply the concept of connectedness in dimension d to study tangencies of algebraic varieties.
page 160,
- To be tangent to a circle or arc, a line must touch the circle or arc at only one point, and a line drawn from the center of the circle or arc must be perpendicular to the tangent line at the point of tangency . (See Figure 6.82.)
page 83,
- If the original tangency' is at A, then the new '''tangency''' cannot be at O or P, as either possibility would require two indifference curves to cross.Instead, the new ' tangency is at a point like B.