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Area of the lattice generated from $(n, n\sqrt{2} \mod 1)$

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#elementary-number-theory #convex-analysis #integer-lattices
23.6k
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How to find the number of integer coordinates in the interior of triangle?

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#geometry #triangles #integer-lattices
69
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Set of $K > N$ integer-valued vectors so that any N-subset is a base for $\mathbb{R}^N$

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#linear-algebra #integers #integer-lattices
258
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How can I visualize ideals on a ring of integers of imaginary quadratic fields?

Published on
#abstract-algebra #ideals #integer-lattices
229
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Short Primitive Vectors in a Lattice in $\mathbb{Z}^2$

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#geometry #number-theory #integer-lattices #arithmetic-geometry
3.7k
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Finding the number of lattice paths

Published on
#combinatorics #binomial-coefficients #integer-lattices #catalan-numbers
469
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Ideals of $\mathbb{Z}[i]$ geometrically

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#abstract-algebra #ring-theory #algebraic-number-theory #ideals #integer-lattices
784
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Number of Lattice points in the intersection between an N-Sphere and an N-Cube

Published on
#geometry #algorithms #integer-lattices #spheres
532
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Finding total number of lattice points on a circle and one of the coordinate values

Published on
#number-theory #analytic-geometry #integer-lattices
227
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Interpreting infinite integer lattice as a manifold of negative dimension

Published on
#manifolds #integer-lattices #dimension-theory-analysis
183
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An inequality related to lattice points 'around' a circle

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#algebra-precalculus #geometry #numerical-methods #analytic-geometry #integer-lattices
1.2k
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Index of a sublattice

Published on
#abstract-algebra #number-theory #integer-lattices
995
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What is an ideal lattice?

Published on
#group-theory #integer-lattices #vector-lattices
92
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Real dimension of $\mathbb{Z}^d \otimes \mathbb{R}$

Published on
#abstract-algebra #tensor-products #integer-lattices
145
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Expected time to walk in Manhattan

Published on
#probability #combinatorics #integer-lattices

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