Manifold vs Transversality - What's the difference?
manifold | transversality |
(now historical) A copy made by the manifold writing process.
(mechanics) A pipe fitting or similar device that connects multiple inputs or outputs.
(US, regional, in the plural) The third stomach of a ruminant animal, an omasum.
* 1830
(mathematics) A topological space that looks locally like the "ordinary" Euclidean space and is Hausdorff.
Various in kind or quality, diverse
Many in number, numerous; multiple, multiplied.
Complicated.
Exhibited at diverse times or in various ways.
Many times; repeatedly.
* 1590 , Edmund Spenser, The Faerie Queene , I.xii:
To make manifold; multiply.
(printing) To multiply or reproduce impressions of by a single operation.
(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.
In mathematics|lang=en terms the difference between manifold and transversality
is that manifold is (mathematics) a topological space that looks locally like the "ordinary" euclidean space and is hausdorff 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.As nouns the difference between manifold and transversality
is that manifold is (now historical) a copy made by the manifold writing process 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.As an adjective manifold
is various in kind or quality, diverse.As an adverb manifold
is many times; repeatedly.As a verb manifold
is to make manifold; multiply.manifold
English
Alternative forms
* (l)Etymology 1
From (etyl), from (etyl) .Noun
(en noun)Anson, Somerset Co. Me., accessed 12 June 2007
- My conjecture being right he will find the third stomach, or manifolds , the seat of difficulty.
Derived terms
* manifolder * (l) * (l)Adjective
(en adjective)- The manifold meanings of the simple English word 'set' are infamous among dictionary makers.
- c1384 ... the manyfold grace of God. — I Petre 4:10 (
Wycliffe's Bible
)
- 1611 The manifold wisdom of God. —
Ephesians 3:10]. ([[w:King James Bible]
)
Derived terms
* manifold writingAdverb
(en adverb)- when his daughter deare he does behold, / Her dearely doth imbrace, and kisseth manifold .