manifold
Language: English
Part of speech: noun
Pronunciation: ipa: /ˈmænɪˌfoʊld/
ipa: /ˈmɛnɪˌfoʊld/
ipa: /ˈmɛniˌfoʊld/
ipa: /ˈmænɪˌfəʊld/
rhymes: -ænɪfoʊld
rhymes: -əʊld
Forms: form: manifolds
form: manyfold
Etymology: From Middle English manifold, from Old English maniġfeald (“manifold, various, varied, complicated, numerous, abundant, plural”), from Proto-Germanic *managafalþaz, equivalent to many + -fold. Cognate with Middle High German manecvalt (“manifold”), Icelandic margfaldr (“multiple”). Compare also German mannigfaltig (“various”), Dutch menigvoudig (“various”), Danish mangefold (“multiple”), Swedish mångfald (“diversity”).
Senses: glosses: A copy made by the manifold writing process.
topics: engineering
mechanical-engineering
mechanics
natural-sciences
physical-sciences
glosses: A pipe fitting or similar device that connects multiple inputs and outputs.
examples: text: My conjecture being right he will find the third stomach, or manifolds, the seat of difficulty.
ref: 1830, Anson, Somerset Co. Me., retrieved 12 Jun 2007:
glosses: The third stomach of a ruminant animal, an omasum.
topics: mathematics
sciences
glosses: A Hausdorff topological space that looks locally like the "ordinary" Euclidean space ℝⁿ.
topics: computer-graphics
computing
engineering
mathematics
natural-sciences
physical-sciences
sciences
glosses: A polygon mesh representing the continuous, closed surface of a solid object
Hyponyms: sense: (mathematics) generic families of manifolds
word: Flag manifold
sense: (mathematics) generic families of manifolds
word: Grassmann manifold
sense: (mathematics) generic families of manifolds
word: Stiefel manifold
sense: (mathematics) manifolds definable by a particular choice of atlas
word: analytic manifold
sense: (mathematics) manifolds definable by a particular choice of atlas
word: complex manifold
sense: (mathematics) manifolds definable by a particular choice of atlas
word: differentiable manifold
sense: (mathematics) manifolds definable by a particular choice of atlas
word: piecewise linear manifold
sense: (mathematics) manifolds definable by a particular choice of atlas
word: smooth manifold
sense: (mathematics) manifolds definable by a particular choice of atlas
word: topological manifold
sense: (mathematics) manifolds with additional structure
word: almost complex manifold
sense: (mathematics) manifolds with additional structure
word: almost symplectic manifold
sense: (mathematics) manifolds with additional structure
word: Calabi–Yau manifold
sense: (mathematics) manifolds with additional structure
word: calibrated manifold
sense: (mathematics) manifolds with additional structure
word: complex manifold
sense: (mathematics) manifolds with additional structure
word: contact manifold
sense: (mathematics) manifolds with additional structure
word: CR manifold
sense: (mathematics) manifolds with additional structure
word: Finsler manifold
sense: (mathematics) manifolds with additional structure
word: Hermitian manifold
sense: (mathematics) manifolds with additional structure
word: Hyperkähler manifold
sense: (mathematics) manifolds with additional structure
word: Kähler manifold
sense: (mathematics) manifolds with additional structure
word: Lie group
sense: (mathematics) manifolds with additional structure
word: pseudo-Riemannian manifold
sense: (mathematics) manifolds with additional structure
word: Riemannian manifold
sense: (mathematics) manifolds with additional structure
word: Sasakian manifold
sense: (mathematics) manifolds with additional structure
word: semi-Riemannian manifold
sense: (mathematics) manifolds with additional structure
word: spin manifold
sense: (mathematics) manifolds with additional structure
word: symplectic manifold
sense: (mathematics) infinite-dimensional manifolds
word: Banach manifold
sense: (mathematics) infinite-dimensional manifolds
word: Fréchet manifold
sense: (mathematics) infinite-dimensional manifolds
word: Hilbert manifold
sense: (mathematics) other manifolds
word: Ck-manifold
sense: (mathematics) other manifolds
word: connected manifold
sense: (mathematics) other manifolds
word: Cω-manifold
sense: (mathematics) other manifolds
word: C∞-manifold
sense: (mathematics) other manifolds
word: E8 manifold
sense: (mathematics) other manifolds
word: Einstein manifold
sense: (mathematics) other manifolds
word: Finsler manifold
sense: (mathematics) other manifolds
word: G2 manifold
sense: (mathematics) other manifolds
word: Kervaire manifold
sense: (mathematics) other manifolds
word: Lorentzian manifold
sense: (mathematics) other manifolds
word: manifold with boundary
sense: (mathematics) other manifolds
word: n-dimensional manifold
sense: (mathematics) other manifolds
word: n-manifold
sense: (mathematics) other manifolds
word: non-Hausdorff manifold
sense: (mathematics) other manifolds
word: non-smoothable manifold
sense: (mathematics) other manifolds
word: pure manifold
sense: (mathematics) other manifolds
word: Quaternionic Kähler manifold
sense: (mathematics) other manifolds
word: real manifold
sense: (mathematics) other manifolds
word: Ricci-flat manifold
sense: (mathematics) other manifolds
word: Spin(7) manifold
sense: (mathematics) other manifolds
word: submanifold
sense: (mathematics) other manifolds
word: Weeks manifold
sense: (mathematics) other manifolds
word: Whitehead manifold
Derived terms: blackfold
Calabi-Yau manifold
chain of manifolds
conifold
continuous manifoldness
discontinuous manifoldness
inlet manifold
intake manifold
manifoldness
manifold writer
manifold writing
maniverter
micromanifold
neuromanifold
nilmanifold
non-manifold
nonmanifold
orbifold
pseudomanifold
solvmanifold
supermanifold