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  2. Lattice multiplication - Wikipedia

    en.wikipedia.org/wiki/Lattice_multiplication

    A grid is drawn up, and each cell is split diagonally. The two multiplicands of the product to be calculated are written along the top and right side of the lattice, respectively, with one digit per column across the top for the first multiplicand (the number written left to right), and one digit per row down the right side for the second multiplicand (the number written top-down).

  3. Multiplication algorithm - Wikipedia

    en.wikipedia.org/wiki/Multiplication_algorithm

    Finally, sum along the diagonal tracts and carry as needed to get the answer. Lattice, or sieve, multiplication is algorithmically equivalent to long multiplication. It requires the preparation of a lattice (a grid drawn on paper) which guides the calculation and separates all the multiplications from the additions.

  4. 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.

  5. Connected Mathematics - Wikipedia

    en.wikipedia.org/wiki/Connected_Mathematics

    Connected Mathematics is a comprehensive mathematics program intended for U.S. students in grades 6–8.The curriculum design, text materials for students, and supporting resources for teachers were created and have been progressively refined by the Connected Mathematics Project (CMP) at Michigan State University with advice and contributions from many mathematics teachers, curriculum ...

  6. Complex multiplication - Wikipedia

    en.wikipedia.org/wiki/Complex_multiplication

    In mathematics, complex multiplication (CM) is the theory of elliptic curves E that have an endomorphism ring larger than the integers. [1] Put another way, it contains the theory of elliptic functions with extra symmetries, such as are visible when the period lattice is the Gaussian integer lattice or Eisenstein integer lattice.

  7. Lattice (order) - Wikipedia

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

    A lattice is an abstract structure studied in the mathematical subdisciplines of order theory and abstract algebra.It consists of a partially ordered set in which every pair of elements has a unique supremum (also called a least upper bound or join) and a unique infimum (also called a greatest lower bound or meet).

  8. The Equidistribution of Lattice Shapes of Rings of Integers ...

    en.wikipedia.org/wiki/The_Equidistribution_of...

    Harron was advised by Fields Medalist Manjul Bhargava, and her thesis deals with the properties of number fields, specifically the shape of their rings of integers. [2] [5] Harron and Bhargava showed that, viewed as a lattice in real vector space, the ring of integers of a random number field does not have any special symmetries.

  9. Integer lattice - Wikipedia

    en.wikipedia.org/wiki/Integer_lattice

    In mathematics, the n-dimensional integer lattice (or cubic lattice), denoted ⁠ ⁠, is the lattice in the Euclidean space ⁠ ⁠ whose lattice points are n-tuples of integers. The two-dimensional integer lattice is also called the square lattice , or grid lattice.