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  2. Cobweb plot - Wikipedia

    en.wikipedia.org/wiki/Cobweb_plot

    An animated cobweb diagram of the logistic map = (), showing chaotic behaviour for most values of >. A cobweb plot , known also as Lémeray Diagram or Verhulst diagram is a visual tool used in the dynamical systems field of mathematics to investigate the qualitative behaviour of one-dimensional iterated functions , such as the logistic map .

  3. Spatial Mathematics: Theory and Practice through Mapping

    en.wikipedia.org/wiki/Spatial_Mathematics:...

    Chapter 6 concerns the types of data to be visualized, and the types of visualizations that can be made for them. Chapter 7 concerns spatial hierarchies and central place theory, while chapter 8 covers the analysis of spatial distributions in terms of their covariance. Finally, chapter 10 covers network and non-Euclidean data. [1] [3]

  4. Atlas (topology) - Wikipedia

    en.wikipedia.org/wiki/Atlas_(topology)

    In mathematics, particularly topology, an atlas is a concept used to describe a manifold. An atlas consists of individual charts that, roughly speaking, describe individual regions of the manifold. In general, the notion of atlas underlies the formal definition of a manifold and related structures such as vector bundles and other fiber bundles .

  5. Arnold's cat map - Wikipedia

    en.wikipedia.org/wiki/Arnold's_cat_map

    Arnold's cat map is a particularly well-known example of a hyperbolic toral automorphism, which is an automorphism of a torus given by a square unimodular matrix having no eigenvalues of absolute value 1. [3] The set of the points with a periodic orbit is dense on the torus. Actually a point is periodic if and only if its coordinates are rational.

  6. Morphism - Wikipedia

    en.wikipedia.org/wiki/Morphism

    A category C consists of two classes, one of objects and the other of morphisms.There are two objects that are associated to every morphism, the source and the target.A morphism f from X to Y is a morphism with source X and target Y; it is commonly written as f : X → Y or X Y the latter form being better suited for commutative diagrams.

  7. Big Ideas Learning - Wikipedia

    en.wikipedia.org/wiki/Big_Ideas_Learning

    The first publication for Big Ideas Learning was a series of middle school mathematics textbooks that implemented the NCTM's focal point curriculum.

  8. Map graph - Wikipedia

    en.wikipedia.org/wiki/Map_graph

    A 3-map graph is a planar graph, and every planar graph can be represented as a 3-map graph. Every 4-map graph is a 1-planar graph , a graph that can be drawn with at most one crossing per edge, and every optimal 1-planar graph (a graph formed from a planar quadrangulation by adding two crossing diagonals to every quadrilateral face) is a 4-map ...

  9. Pointed set - Wikipedia

    en.wikipedia.org/wiki/Pointed_set

    Pointed maps are the homomorphisms of these algebraic structures. The class of all pointed sets together with the class of all based maps forms a category . Every pointed set can be converted to an ordinary set by forgetting the basepoint (the forgetful functor is faithful ), but the reverse is not true.

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