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  2. Multipurpose Applied Physics Lattice Experiment - Wikipedia

    en.wikipedia.org/wiki/Multipurpose_Applied...

    This failure was ascribed to workmanship and design issues, and related to fine metal particles accumulating in the control rods' housing and interfering with their free movement. [ citation needed ] In addition, later testing found that the reactors have a positive power co-efficient of reactivity (PCR), which was in disagreement with the ...

  3. Born–Landé equation - Wikipedia

    en.wikipedia.org/wiki/Born–Landé_equation

    ε 0 = permittivity of free space 4 π ε 0 = 1.112 × 10 −10 C 2 /(J·m) r = distance separating the ion centers. For a simple lattice consisting ions with equal and opposite charge in a 1:1 ratio, interactions between one ion and all other lattice ions need to be summed to calculate E M, sometimes called the Madelung or lattice energy:

  4. Pointless topology - Wikipedia

    en.wikipedia.org/wiki/Pointless_topology

    In pointless topology we take these properties of the lattice as fundamental, without requiring that the lattice elements be sets of points of some underlying space and that the lattice operation be intersection and union. Rather, point-free topology is based on the concept of a "realistic spot" instead of a point without extent.

  5. Lattice problem - Wikipedia

    en.wikipedia.org/wiki/Lattice_problem

    In computer science, lattice problems are a class of optimization problems related to mathematical objects called lattices.The conjectured intractability of such problems is central to the construction of secure lattice-based cryptosystems: lattice problems are an example of NP-hard problems which have been shown to be average-case hard, providing a test case for the security of cryptographic ...

  6. Ice-type model - Wikipedia

    en.wikipedia.org/wiki/Ice-type_model

    An ice-type model is a lattice model defined on a lattice of coordination number 4. That is, each vertex of the lattice is connected by an edge to four "nearest neighbours". A state of the model consists of an arrow on each edge of the lattice, such that the number of arrows pointing inwards at each vertex is 2.

  7. Lattice (group) - Wikipedia

    en.wikipedia.org/wiki/Lattice_(group)

    In geometry and group theory, a lattice in the real coordinate space is an infinite set of points in this space with the properties that coordinate-wise addition or subtraction of two points in the lattice produces another lattice point, that the lattice points are all separated by some minimum distance, and that every point in the space is within some maximum distance of a lattice point.

  8. Hexagonal lattice - Wikipedia

    en.wikipedia.org/wiki/Hexagonal_lattice

    The honeycomb point set is a special case of the hexagonal lattice with a two-atom basis. [1] The centers of the hexagons of a honeycomb form a hexagonal lattice, and the honeycomb point set can be seen as the union of two offset hexagonal lattices. In nature, carbon atoms of the two-dimensional material graphene are arranged in a honeycomb ...

  9. Lattice (module) - Wikipedia

    en.wikipedia.org/wiki/Lattice_(module)

    An R-submodule N of M that is itself a lattice is an R-pure sublattice if M/N is R-torsion-free. There is a one-to-one correspondence between R-pure sublattices N of M and K-subspaces W of V, given by [2] =; =.