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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.

  3. Discontinuities of monotone functions - Wikipedia

    en.wikipedia.org/wiki/Discontinuities_of...

    Let be a real-valued monotone function defined on an interval. Then the set of discontinuities of the first kind is at most countable.. One can prove [5] [3] that all points of discontinuity of a monotone real-valued function defined on an interval are jump discontinuities and hence, by our definition, of the first kind.

  4. Collatz conjecture - Wikipedia

    en.wikipedia.org/wiki/Collatz_conjecture

    For any integer n, n ≡ 1 (mod 2) if and only if 3n + 1 ≡ 4 (mod 6). Equivalently, ⁠ n − 1 / 3 ⁠ ≡ 1 (mod 2) if and only if n ≡ 4 (mod 6) . Conjecturally, this inverse relation forms a tree except for the 1–2–4 loop (the inverse of the 4–2–1 loop of the unaltered function f defined in the Statement of the problem section of ...

  5. List of unsolved problems in mathematics - Wikipedia

    en.wikipedia.org/wiki/List_of_unsolved_problems...

    Many mathematical problems have been stated but not yet solved. These problems come from many areas of mathematics, such as theoretical physics, computer science, algebra, analysis, combinatorics, algebraic, differential, discrete and Euclidean geometries, graph theory, group theory, model theory, number theory, set theory, Ramsey theory, dynamical systems, and partial differential equations.

  6. Defensive spectrum - Wikipedia

    en.wikipedia.org/wiki/Defensive_spectrum

    In sabermetrics, the defensive spectrum is a graphical representation of the positions on a baseball field, arranged from the easiest (such as first base and the outfield corners) on the left to the hardest (such as the catcher and middle infielders) on the right.

  7. C mathematical functions - Wikipedia

    en.wikipedia.org/wiki/C_mathematical_functions

    returns next representable floating-point value towards the given value copysign: copies the sign of a floating-point value Classification fpclassify: categorizes the given floating-point value isfinite: checks if the argument has finite value isinf: checks if the argument is infinite isnan: checks if the argument is NaN isnormal

  8. Toe loop jump - Wikipedia

    en.wikipedia.org/wiki/Toe_loop_jump

    The toe loop jump is the simplest jump in the sport of figure skating.It was invented in the 1920s by American professional figure skater Bruce Mapes.The toe loop is accomplished by skating forward on the inside edge of the blade; the skater then switches to a backward-facing position before their takeoff, which is accomplished from a back outside edge with assistance from the toe pick on the ...

  9. Piecewise function - Wikipedia

    en.wikipedia.org/wiki/Piecewise_function

    at the points where two subintervals touch, the corresponding one-sided derivatives of the two neighboring subintervals coincide. Some sources only examine the function definition, [ 6 ] [ better source needed ] while others acknowledge the property iff the function admits a partition into a piecewise definition that meets the conditions.