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Manifold vs Heterogeneous - What's the difference?

manifold | heterogeneous |

In mathematics|lang=en terms the difference between manifold and heterogeneous

is that manifold is (mathematics) a topological space that looks locally like the "ordinary" euclidean space \mathbb{r}^n and is hausdorff while heterogeneous is (mathematics) incommensurable because of different kinds.

As adjectives the difference between manifold and heterogeneous

is that manifold is various in kind or quality, diverse while heterogeneous is diverse in kind or nature; composed of diverse parts.

As a noun manifold

is (now historical) 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)
  • (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 Anson, Somerset Co. Me., accessed 12 June 2007
  • My conjecture being right he will find the third stomach, or manifolds , the seat of difficulty.
  • (mathematics) A topological space that looks locally like the "ordinary" Euclidean space \mathbb{R}^n and is Hausdorff.
  • Derived terms
    * manifolder * (l) * (l)

    Adjective

    (en adjective)
  • Various in kind or quality, diverse
  • The manifold meanings of the simple English word 'set' are infamous among dictionary makers.
  • Many in number, numerous; multiple, multiplied.
  • Complicated.
  • Exhibited at diverse times or in various ways.
  • 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 writing

    Adverb

    (en adverb)
  • Many times; repeatedly.
  • * 1590 , Edmund Spenser, The Faerie Queene , I.xii:
  • when his daughter deare he does behold, / Her dearely doth imbrace, and kisseth manifold .

    Etymology 2

    From (etyl) manifolden, from (etyl) .

    Verb

    (en verb)
  • To make manifold; multiply.
  • (printing) To multiply or reproduce impressions of by a single operation.
  • heterogeneous

    English

    Adjective

    (en adjective)
  • Diverse in kind or nature; composed of diverse parts.
  • (mathematics) Incommensurable because of different kinds.
  • (physics) Having more than one phase (solid, liquid, gas) present in a system or process.
  • (chemistry) Visibly consisting of different components.
  • (computing) Of a network comprising different types of computers, potentially with vastly differing memory sizes, processing power and even basic underlying architecture; alternatively, of a data resource with multiple types of formats.
  • Antonyms

    * homogeneous