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  • Finally, every subcategory of a poset is isomorphism-closed.
  • This defines an infranatural isomorphism ( isomorphism for each object ).
  • This defines an infranatural isomorphism ( isomorphism for each object ).
  • This lack of isomorphism is the source of the apparent contradictions.
  • The inverse of a ring isomorphism is also a ring isomorphism.
  • The inverse of a ring isomorphism is also a ring isomorphism.
  • Its action on } } gives an isomorphism with S 3.
  • We claim; this isomorphism can be given an explicit form.
  • An order isomorphism can be characterized as a surjective order embedding.
  • To actually establish the concrete isomorphisms is more tedious than illuminating.
  • The proof below further shows that the map is an isomorphism.
  • Here, the indicated maps are to be isomorphisms or identities.
  • More formally, the third level classifies spaces up to isomorphism.
  • He questioned the " intensional isomorphism " concept of Rudolf Carnap.
  • Even Mimetic isomorphism seems to be more about structure than theory.
  • The Teichm黮ler character gives a canonical isomorphism between these two groups.
  • Consider the embedding coefficient \ Z-module isomorphism \ rho.
  • Consider the embedding coefficient \ Z-module isomorphism \ rho:
  • When the scalars are real, this map is an isometric isomorphism.
  • Here and are the musical isomorphisms, and is the Hodge dual.
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