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hexagonal lattice वाक्य

"hexagonal lattice" हिंदी मेंhexagonal lattice in a sentence
उदाहरण वाक्यमोबाइल
  • I will do some thinking . . . ) I was just finding it difficult to show that the ( finite ? ) number of points P for which this held, all produced the same hexagonal lattice / tiling ( up to isometries ) when regluing.
  • The "'Holey fiber "'or photonic crystal fiber can be made by taking cylindrical rods of glass in hexagonal lattice, and then heating and stretching them, the triangle-like airgaps between the glass rods become the holes that confine the modes.
  • Identifying opposite edges of the hexagon again leads to the torus, this time, with the constraint A B C A ^ {-1 } B ^ {-1 } C ^ {-1 } = 1 describing the action of the hexagonal lattice generators on the plane.
  • Stefan Gruber's Hexagonal Chess is partially an answer to Douglas Hofstadter's challenge to translate traditional square lattice chess into a hexagonal lattice version, which Hoffstadter calls, " chesh . " Gruber completed the preliminary list of rules in 1993 and created an animated accompaniment to explain the game.
  • The boundary case of equality is attained if and only if the metric is flat and homothetic to the so-called " equilateral torus ", i . e . torus whose group of deck transformations is precisely the hexagonal lattice spanned by the cube roots of unity in \ mathbb C.
  • Note that a root system is not determined by the lattice that it generates : A _ 1 \ times A _ 1 and B _ 2 both generate a square lattice while A _ 2 and G _ 2 generate a hexagonal lattice, only two of the five possible types of lattices in two dimensions.
  • In two dimensional Euclidean space, Joseph Louis Lagrange proved in 1773 that the highest-density lattice arrangement of circles is the hexagonal packing arrangement, in which the centres of the circles are arranged in a hexagonal lattice ( staggered rows, like a honeycomb ), and each circle is surrounded by 6 other circles.
  • These include the cubic lattice with a density of | 6 } } C " 0.5236, the hexagonal lattice with a density of | 3 } } C " 0.6046, and the tetrahedral lattice with a density of | 16 } } C " 0.3401, and loosest possible at a density of 0.0555.
  • On a molecular scale, the six-fold symmetry comes from the hexagonal lattice of ice; on a macroscopic scale, the symmetry continues because as the snowflake forms, it moves around within the cloud, exposing all parts of of the snowflake to a given environment at the same time .-- talk ) 23 : 34, 11 December 2008 ( UTC)
  • A group led by Ben Ocko ( Brookhaven National Laboratory ), Eric Sirota ( Exxon ) and Moshe Deutsch ( Bar-Ilan University, Israel ) discovered independently the same effect, using x-ray surface diffraction which allowed them to show that the frozen layer is a crystalline monolayer, with molecules oriented roughly along the surface normal, and ordered in an hexagonal lattice.
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