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  2. State shapes - Wikipedia

    en.wikipedia.org/wiki/State_shapes

    A fragmented state has several noncontiguous pieces of territory. Archipelagos such as Philippines, Indonesia, and Fiji are examples of fragmented states. [1] A prorupted or protruded has an extension that protrudes from the main territory. [3] Thailand is an example of a prorupted state. [1] A perforated completely surrounds another state ...

  3. List of two-dimensional geometric shapes - Wikipedia

    en.wikipedia.org/wiki/List_of_two-dimensional...

    This is a list of two-dimensional geometric shapes in Euclidean and other geometries. For mathematical objects in more dimensions, see list of mathematical shapes. For a broader scope, see list of shapes.

  4. List of mathematical shapes - Wikipedia

    en.wikipedia.org/wiki/List_of_mathematical_shapes

    For example, in a polyhedron (3-dimensional polytope), a face is a facet, an edge is a ridge, and a vertex is a peak. Vertex figure : not itself an element of a polytope, but a diagram showing how the elements meet.

  5. List of curves - Wikipedia

    en.wikipedia.org/wiki/List_of_curves

    This is a list of Wikipedia articles about curves used in different fields: mathematics ... a quasi-helical shape characterized by multiple tendril perversions;

  6. List of formulas in elementary geometry - Wikipedia

    en.wikipedia.org/wiki/List_of_formulas_in...

    The basic quantities describing a sphere (meaning a 2-sphere, a 2-dimensional surface inside 3-dimensional space) will be denoted by the following variables r {\displaystyle r} is the radius, C = 2 π r {\displaystyle C=2\pi r} is the circumference (the length of any one of its great circles ),

  7. Toroid - Wikipedia

    en.wikipedia.org/wiki/Toroid

    In mathematics, a toroid is a surface of revolution with a hole in the middle. The axis of revolution passes through the hole and so does not intersect the surface. [ 1 ] For example, when a rectangle is rotated around an axis parallel to one of its edges, then a hollow rectangle-section ring is produced.

  8. List of mathematical examples - Wikipedia

    en.wikipedia.org/wiki/List_of_mathematical_examples

    This page will attempt to list examples in mathematics. To qualify for inclusion, an article should be about a mathematical object with a fair amount of concreteness. Usually a definition of an abstract concept, a theorem, or a proof would not be an "example" as the term should be understood here (an elegant proof of an isolated but particularly striking fact, as opposed to a proof of a ...

  9. State-space representation - Wikipedia

    en.wikipedia.org/wiki/State-space_representation

    The state space or phase space is the geometric space in which the axes are the state variables. The system state can be represented as a vector, the state vector. If the dynamical system is linear, time-invariant, and finite-dimensional, then the differential and algebraic equations may be written in matrix form.

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