Manifold vs Differentiable - What's the difference?
manifold | differentiable |
(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.
(calculus, not comparable) Having a derivative, said of a function whose domain and codomain are manifolds.
(comparable, of multiple items) able to be differentiated, e.g. because they appear different
As adjectives the difference between manifold and differentiable
is that manifold is various in kind or quality, diverse while differentiable is having a derivative, said of a function whose domain and codomain are manifolds.As a noun manifold
is a copy made by the manifold writing process.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 .