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  2. Geometry Dash - Wikipedia

    en.wikipedia.org/wiki/Geometry_Dash

    Geometry Dash Lite is a free version of the game with advertisements and gameplay restrictions. Geometry Dash Lite includes only main levels 1-19, all tower levels, and a few selected levels that are either Featured, Daily, weekly or Event levels but does not offer the option to create levels or play most player-made levels. It also has a ...

  3. Cycle (graph theory) - Wikipedia

    en.wikipedia.org/wiki/Cycle_(graph_theory)

    The term cycle may also refer to an element of the cycle space of a graph. There are many cycle spaces, one for each coefficient field or ring. The most common is the binary cycle space (usually called simply the cycle space), which consists of the edge sets that have even degree at every vertex; it forms a vector space over the two-element field.

  4. Algebraic cycle - Wikipedia

    en.wikipedia.org/wiki/Algebraic_cycle

    An algebraic r-cycle on X is a formal linear combination [] of r-dimensional closed integral k-subschemes of X. The coefficient n i is the multiplicity of V i. The set of all r-cycles is the free abelian group = [],

  5. Cycles and fixed points - Wikipedia

    en.wikipedia.org/wiki/Cycles_and_fixed_points

    G has 2 fixed points, 1 2-cycle and 3 4-cycles B has 4 fixed points and 6 2-cycles GB has 2 fixed points and 2 7-cycles P * (1,2,3,4) T = (4,1,3,2) T Permutation of four elements with 1 fixed point and 1 3-cycle. In mathematics, the cycles of a permutation π of a finite set S correspond bijectively to the orbits of the subgroup generated by π ...

  6. Cyclic permutation - Wikipedia

    en.wikipedia.org/wiki/Cyclic_permutation

    A cyclic permutation consisting of a single 8-cycle. There is not widespread consensus about the precise definition of a cyclic permutation. Some authors define a permutation σ of a set X to be cyclic if "successive application would take each object of the permuted set successively through the positions of all the other objects", [1] or, equivalently, if its representation in cycle notation ...

  7. Vanishing cycle - Wikipedia

    en.wikipedia.org/wiki/Vanishing_cycle

    In mathematics, vanishing cycles are studied in singularity theory and other parts of algebraic geometry. They are those homology cycles of a smooth fiber in a family which vanish in the singular fiber .