manifold

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manifold

Definitions by Wordnik

  1. (adjective) Many and varied; of many kinds; multiple: our manifold failings.
  2. (adjective) Having many features or forms: manifold intelligence.
  3. (adjective) Being such for a variety of reasons: a manifold traitor.
  4. (adjective) Consisting of or operating several devices of one kind at the same time.
  5. (noun) A whole composed of diverse elements.
  6. (noun) One of several copies.
  7. (noun) A pipe or chamber having multiple apertures for making connections.
  8. (noun) Mathematics A topological space or surface.
  9. (verb-transitive) To make several copies of, as with carbon paper.
  10. (verb-transitive) To make manifold; multiply.

Examples by Wordnik

  1. Some informal background: a Riemannian manifold is a differentiable manifold (where the tangent space at each point has an inner product) with a positive-definite metric tensor, d (x, y) ≥ 0. - Bad Language: “Riemannian Manifold”
  2. A familiar Riemannian manifold is a Euclidean manifold (where one has to add a smoothly varying inner product on the tangent space of the standard Euclidean space), with the familiar Euclidean (distance) metric (our 3-space, for example). - Bad Language: “Riemannian Manifold”
  3. The Lorentzian manifold is a pseudo-Riemannian manifold, the generalization of the Riemannian manifold, such that the metric tensor need not be positive-definite. - Bad Language: “Riemannian Manifold”
  4. In my sleep I slew them in manifold ways and threw their carcasses into the reservoir. - The Golden Poppy
  5. They are cultural hybrids, to be sure, combining indigenous traditions with Christian theology in manifold ways. - Introduction

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