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- Given any [[set]] <math>S</math>, the '''boolean lattice''' <math>B(S)</math> is a [[partially ordered set]] whose elements are thos ...Thus, the set <math>S = \{1, 2, 3\}</math> is associated with the boolean lattice <math>B_3</math> with elements <math>\emptyset, \{1\}, \{2\}, \{3\}, \{1, 21 KB (168 words) - 21:46, 20 April 2008
- ...s. If not specified, a point lattice is usually a point in a square array. Lattice points are complicated, so don't get stressed if you don't get it right awa ...th> and <math>b</math> are positive integers. How many points in the point lattice lie on the line <math>y = -3x + 8</math>?1 KB (199 words) - 10:45, 2 August 2024
- #REDIRECT [[Lattice point]]27 bytes (3 words) - 22:26, 4 November 2006
- 36 bytes (5 words) - 21:11, 1 January 2025
- #REDIRECT [[The Lattice Point Theorem]]39 bytes (5 words) - 21:12, 1 January 2025
Page text matches
- ...,1). If you graph the line, it's easy to see that the line intersects a [[lattice point]] as x and y increase or decrease by the same multiple of <math>4</ma9 KB (1,434 words) - 00:15, 4 July 2024
- An object in the plane moves from one lattice point to another. At each step, the object may move one unit to the right,13 KB (2,058 words) - 11:36, 4 July 2023
- An object in the plane moves from one lattice point to another. At each step, the object may move one unit to the right,2 KB (354 words) - 15:57, 28 December 2020
- # From any lattice point <math> (a,b), </math> the particle may only move to <math> (a+1,b), (6 KB (983 words) - 04:06, 20 February 2019
- # From any lattice point <math> (a,b), </math> the particle may only move to <math> (a+1,b), ( .... (We will see how this correlates with the problem.) Then define for each lattice point <math>(i,j)</math> its triplet thus:5 KB (897 words) - 23:21, 28 July 2022
- ...t whose coordinates are both integers is called a lattice point. How many lattice points lie on the hyperbola <math>x^2 - y^2 = 2000^2</math>?6 KB (947 words) - 20:11, 19 February 2019
- ...independent of each other, for a total of <math>3\cdot 2\cdot 2=12</math> lattice points. They are indicated by the blue dots below. ...oints on the circle, but do not pass through the origin or through any non-lattice point on the circle. An example is the green line above. It is straightforw3 KB (442 words) - 18:51, 8 January 2024
- ...ath>. Just using the first column of information gives us an interesting [[lattice]] pattern:7 KB (1,225 words) - 18:56, 4 August 2021
- ...right sides have 14 [[lattice point]]s, and the two diagonals each have 14 lattice points (for the top diagonal, every value of <math>x</math> corresponds wit6 KB (913 words) - 15:34, 6 August 2020
- ...in total. Note that in order for the midpoint of the line segment to be a lattice point, the lengths on the x, y, and z axis must be even numbers. We will de ...,0</math> 60 * this won't be included, but notice that sixty the number of lattice points8 KB (1,187 words) - 01:40, 28 November 2020
- ...rline{AB}</math> by some arbitrary amount so that <math>B</math> becomes a lattice point, which won't affect the position of <math>D'</math>. ~inaccessibles5 KB (810 words) - 14:55, 20 January 2025
- ...nt whose coordinates are both integers is called a lattice point. How many lattice points lie on the hyperbola <math>x^2 - y^2 = 2000^2</math>? ...>y</math> can be negative, this gives us <math>49\cdot2=\boxed{098}</math> lattice points.1 KB (246 words) - 01:17, 18 December 2024
- ...is covered in more detail in the relevant QCD articles (QCD, confinement, lattice gauge theory, etc.), although not at the level of rigor of mathematical phy Results from lattice gauge theory have shown beyond any reasonable doubt that this model exhibit2 KB (363 words) - 14:31, 1 December 2015
- * The [[Boolean lattice]] over a set <math>S</math> is the poset <math>P = (\mathcal{P}(S), \leq)</4 KB (717 words) - 19:01, 25 April 2009
- ...join correspond to union and intersection when the lattice is a [[boolean lattice]].)2 KB (267 words) - 09:13, 23 July 2020
- Given any [[set]] <math>S</math>, the '''boolean lattice''' <math>B(S)</math> is a [[partially ordered set]] whose elements are thos ...Thus, the set <math>S = \{1, 2, 3\}</math> is associated with the boolean lattice <math>B_3</math> with elements <math>\emptyset, \{1\}, \{2\}, \{3\}, \{1, 21 KB (168 words) - 21:46, 20 April 2008
- How many lattice points lie within or on the border of the circle in the <math>xy</math>-pla30 KB (4,794 words) - 22:00, 8 May 2024
- Since all the points in <math>S</math> are [[lattice points]], by [[Pick's Theorem]], the area of any triangle with all vertices2 KB (290 words) - 12:37, 26 July 2009
- ...terms of the number of lattice points inside the polygon and the number of lattice points on the sides of the polygon. The formula is: ...r of lattice points in the interior and <math>B</math> being the number of lattice points on the boundary.7 KB (1,253 words) - 15:11, 14 September 2024
- ...s. If not specified, a point lattice is usually a point in a square array. Lattice points are complicated, so don't get stressed if you don't get it right awa ...th> and <math>b</math> are positive integers. How many points in the point lattice lie on the line <math>y = -3x + 8</math>?1 KB (199 words) - 10:45, 2 August 2024