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  2. Quadtree - Wikipedia

    en.wikipedia.org/wiki/Quadtree

    With these assumptions, point location of a given point (i.e. determining the cell that would contain ), insertion, and deletion operations can all be performed in (⁡) time (i.e. the time it takes to do a search in the underlying ordered set data structure). To perform a point location for (i.e. find its cell in the compressed tree):

  3. PH-tree - Wikipedia

    en.wikipedia.org/wiki/PH-tree

    A d-dimensional PH-tree is a tree of nodes where each node partitions space by subdividing it into quadrants (see below for how potentially large nodes scales with high dimensional data). Each quadrant contains at most one entry, either a key-value pair (leaf quadrant) or a key-subnode pair. For a key-subnode pair, the key represents the center ...

  4. Point location - Wikipedia

    en.wikipedia.org/wiki/Point_location

    This point location data structure takes the form of a directed acyclic graph, where the vertices are the trapezoids that existed at some point in the refinement, and directed edges connect each trapezoid that is no longer in the refinement to the trapezoids that replaced it. A point location query is performed by following a path in this graph ...

  5. R-tree - Wikipedia

    en.wikipedia.org/wiki/R-tree

    R-trees are tree data structures used for spatial access methods, i.e., for indexing multi-dimensional information such as geographical coordinates, rectangles or polygons. The R-tree was proposed by Antonin Guttman in 1984 [ 2 ] and has found significant use in both theoretical and applied contexts. [ 3 ]

  6. Quadrant (plane geometry) - Wikipedia

    en.wikipedia.org/wiki/Quadrant_(plane_geometry)

    Signs of trigonometric functions in each quadrant. In the above graphic, the words in quotation marks are a mnemonic for remembering which three trigonometric functions (sine, cosine and tangent and their reciprocals) are positive in each quadrant. The expression reads "All Science Teachers Crazy" and proceeding counterclockwise from the upper ...

  7. Three-dimensional space - Wikipedia

    en.wikipedia.org/wiki/Three-dimensional_space

    Technically, a tuple of n numbers can be understood as the Cartesian coordinates of a location in a n-dimensional Euclidean space. The set of these n -tuples is commonly denoted R n , {\displaystyle \mathbb {R} ^{n},} and can be identified to the pair formed by a n -dimensional Euclidean space and a Cartesian coordinate system .

  8. California health department reports possible bird flu case ...

    www.aol.com/news/california-health-department...

    By Leah Douglas and Julie Steenhuysen (Reuters) -California's public health department reported a possible case of bird flu in a child with mild respiratory symptoms on Tuesday, but said there was ...

  9. Hyperbolic coordinates - Wikipedia

    en.wikipedia.org/wiki/Hyperbolic_coordinates

    Similarly, a given mass M of gas with changing volume will have variable density δ = M / V, and the ideal gas law may be written P = k T δ so that an isobaric process traces a hyperbola in the quadrant of absolute temperature and gas density. For hyperbolic coordinates in the theory of relativity see the History section.