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345
Triangle,
, 2012
"... We review recent measurements of leptonic Ds-meson decays per-formed by Belle and BaBar collaborations. Described measurements en-able experimental extraction of the Ds-meson decay constant which can be compared with lattice QCD calculations. 1 ..."
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We review recent measurements of leptonic Ds-meson decays per-formed by Belle and BaBar collaborations. Described measurements en-able experimental extraction of the Ds-meson decay constant which can be compared with lattice QCD calculations. 1
Tiling polygons with lattice triangles
, 2009
"... Given a simple polygon with rational coordinates having one vertex at the origin and an adjacent vertex on the x-axis, we look at the problem of the location of the vertices for a tiling of the polygon using lattice triangles (i.e., triangles which are congruent to a triangle with the coordinates of ..."
Abstract
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Cited by 1 (1 self)
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Given a simple polygon with rational coordinates having one vertex at the origin and an adjacent vertex on the x-axis, we look at the problem of the location of the vertices for a tiling of the polygon using lattice triangles (i.e., triangles which are congruent to a triangle with the coordinates
A surgery triangle for lattice cohomology
, 2008
"... Lattice cohomology, defined by Némethi in [8], is an invariant of negative definite plumbed 3-manifolds which conjecturally computes the Heegaard Floer homology HF +. We prove a surgery exact triangle for the lattice cohomology analogous to the one for HF +. This is a step towards comparing these tw ..."
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Cited by 5 (0 self)
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Lattice cohomology, defined by Némethi in [8], is an invariant of negative definite plumbed 3-manifolds which conjecturally computes the Heegaard Floer homology HF +. We prove a surgery exact triangle for the lattice cohomology analogous to the one for HF +. This is a step towards comparing
1Oblique Pythagorean Lattice Triangles
"... A lattice point is a point in the plane with integer coordinates. A lattice triangle is a triangle whose vertices are lattice points. A Pythagorean triangle is a right triangle with integer sides. It is obvious that, given any Pythagorean triangle, a congruent copy can be found in the lattice with i ..."
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A lattice point is a point in the plane with integer coordinates. A lattice triangle is a triangle whose vertices are lattice points. A Pythagorean triangle is a right triangle with integer sides. It is obvious that, given any Pythagorean triangle, a congruent copy can be found in the lattice
Billiards on Rational-Angled Triangles
- Comment. Math. Helv
, 1998
"... this paper. The lattice polygons are those polygons for which the surface M ` has a large affine automorphism group (see section 3). In this paper we introduce techniques to analyze affine automorphism groups and apply these techniques to the surfaces, M ` , associated to acute and right rational tr ..."
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Cited by 57 (1 self)
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triangles. In particular we find all acute lattice triangles whose angles are rational with denominator less than 10,000.
For Which Triangles is . . .
, 2009
"... We present an intriguing question about lattice points in triangles where Pick’s formula is “almost correct”. The question has its origin in knot theory, but its statement is purely combinatorial. After more than 30 years the topological question was recently solved, but the lattice point problem i ..."
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We present an intriguing question about lattice points in triangles where Pick’s formula is “almost correct”. The question has its origin in knot theory, but its statement is purely combinatorial. After more than 30 years the topological question was recently solved, but the lattice point problem
Point Sample Rendering
- In Rendering Techniques ’98
, 1998
"... We present an algorithm suitable for real-time, high quality rendering of complex objects. Objects are represented as a dense set of surface point samples which contain colour, depth and normal information. These point samples are obtained by sampling orthographic views on an equilateral triangle la ..."
Abstract
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Cited by 158 (4 self)
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We present an algorithm suitable for real-time, high quality rendering of complex objects. Objects are represented as a dense set of surface point samples which contain colour, depth and normal information. These point samples are obtained by sampling orthographic views on an equilateral triangle
Lattice qcd, flavor physics and the unitarity triangle analysis
"... Lattice QCD has always played a relevant role in the studies of flavor physics and, in particular, in the Unitarity Triangle (UT) analysis. Before the starting of the B factories, this analysis relied on the results of lattice QCD simulations to relate the experimental determinations of semileptonic ..."
Abstract
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Cited by 2 (0 self)
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Lattice QCD has always played a relevant role in the studies of flavor physics and, in particular, in the Unitarity Triangle (UT) analysis. Before the starting of the B factories, this analysis relied on the results of lattice QCD simulations to relate the experimental determinations
Hitting Probabilities for Random Convex Bodies and Lattices of Triangles
"... Dedicated to Professor Marius Stoka on the occasion of his 80th birthday Copyright c © 2014 Uwe Bäsel. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work ..."
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is properly cited. In the first part of this paper, we obtain symmetric formulae for the probabilities that a plane convex body hits exactly 1, 2, 3, 4, 5 or 6 triangles of a lattice of congruent triangles in the plane. Furthermore, a very simple formula for the expectation of the number of hit triangles
Results 1 - 10
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