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  2. List of United States Navy ships - Wikipedia

    en.wikipedia.org/wiki/List_of_United_States_Navy...

    List of United States Navy ships is a comprehensive listing of all ships that have been in service to the United States Navy during the history of that service. The US Navy maintains its official list of ships past and present at the Naval Vessel Register (NVR), [1] although it does not include early vessels.

  3. Presentation of a group - Wikipedia

    en.wikipedia.org/wiki/Presentation_of_a_group

    x m −1 r m x m of members of such conjugates. It follows that each element of N, when considered as a product in D 8, will also evaluate to 1; and thus that N is a normal subgroup of F. Thus D 8 is isomorphic to the quotient group F/N. We then say that D 8 has presentation , =, =, = . Here the set of generators is S = {r, f }, and the set of ...

  4. Chemical graph generator - Wikipedia

    en.wikipedia.org/wiki/Chemical_graph_generator

    Molecular structure generation is a branch of graph generation problems. [1] Molecular structures are graphs with chemical constraints such as valences, bond multiplicity and fragments. These generators are the core of CASE systems. In a generator, the molecular formula is the basic input.

  5. NVR, Inc. - Wikipedia

    en.wikipedia.org/wiki/NVR,_Inc.

    NVR, Inc. is an American company engaged in home construction headquartered in Reston, Virginia. It also operates a mortgage banking and title services business. The company primarily operates on the East Coast of the United States , but its operations encompass 14 states as well as Washington, D.C.

  6. Hamming (7,4) - Wikipedia

    en.wikipedia.org/wiki/Hamming(7,4)

    p 1 covers d 1, d 2, d 4; p 2 covers d 1, d 3, d 4; p 3 covers d 2, d 3, d 4; The remaining rows (3, 5, 6, 7) map the data to their position in encoded form and there is only 1 in that row so it is an identical copy. In fact, these four rows are linearly independent and form the identity matrix (by design, not coincidence). Also as mentioned ...

  7. Hajós construction - Wikipedia

    en.wikipedia.org/wiki/Hajós_construction

    A graph G is said to be k-constructible (or Hajós-k-constructible) when it formed in one of the following three ways: [1] The complete graph K k is k-constructible. Let G and H be any two k-constructible graphs. Then the graph formed by applying the Hajós construction to G and H is k-constructible.

  8. Induced representation - Wikipedia

    en.wikipedia.org/wiki/Induced_representation

    Here φ∈L 2 (G/H) means: the space G/H carries a suitable invariant measure, and since the norm of φ(g) is constant on each left coset of H, we can integrate the square of these norms over G/H and obtain a finite result. The group G acts on the induced representation space by translation, that is, (g.φ)(x)=φ(g −1 x) for g,x∈G and φ∈ ...

  9. Lefschetz theorem on (1,1)-classes - Wikipedia

    en.wikipedia.org/wiki/Lefschetz_theorem_on_(1,1...

    Lefschetz proved that any normal function determined a class in H 2 (X, Z) and that the class of ν Γ is the fundamental class of Γ. Furthermore, he proved that a class in H 2 (X, Z) is the class of a normal function if and only if it lies in H 1,1. Together with Poincaré's existence theorem, this proves the theorem on (1,1)-classes.