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  2. Catalan's triangle - Wikipedia

    en.wikipedia.org/wiki/Catalan's_triangle

    Catalan's trapezoids are a countable set of number trapezoids which generalize Catalan’s triangle. Catalan's trapezoid of order m = 1, 2, 3, ... is a number trapezoid whose entries (,) give the number of strings consisting of n X-s and k Y-s such that in every initial segment of the string the number of Y-s does not exceed the number of X-s by m or more. [6]

  3. Triangular array - Wikipedia

    en.wikipedia.org/wiki/Triangular_array

    Catalan's triangle, which counts strings of matched parentheses [2] Euler's triangle, which counts permutations with a given number of ascents [3] Floyd's triangle, whose entries are all of the integers in order [4] Hosoya's triangle, based on the Fibonacci numbers [5] Lozanić's triangle, used in the mathematics of chemical compounds [6]

  4. List of numerical analysis topics - Wikipedia

    en.wikipedia.org/wiki/List_of_numerical_analysis...

    Minimum-weight triangulationtriangulation of minimum total edge length; Kinetic triangulation — a triangulation that moves over time; Triangulated irregular network; Quasi-triangulation — subdivision into simplices, where vertices are not points but arbitrary sloped line segments; Volume mesh — consists of three-dimensional shapes

  5. Triangulation (social science) - Wikipedia

    en.wikipedia.org/wiki/Triangulation_(social_science)

    In the social sciences, triangulation refers to the application and combination of several research methods in the study of the same phenomenon. [1] By combining multiple observers, theories, methods, and empirical materials, researchers hope to overcome the weakness or intrinsic biases and the problems that come from single method, single-observer, and single-theory studies.

  6. How a 50-year-old law changed retirement and why it needs a ...

    www.aol.com/finance/50-old-law-changed...

    In 1970, more than half of full-time workers were covered by a traditional pension, according to the US Bureau of Labor Statistics. Today, just 11% of private employees participate in traditional ...

  7. Celebs Are Getting Their Filler Dissolved, But Is Everyone Else?

    www.aol.com/celebs-getting-filler-dissolved...

    It is a lack of understanding of one or all of the following: facial anatomy, facial proportions for a specific individual shape and ethnicity, poor injection technique or poor choice of filler.”

  8. The #1 Best Way To Stop Being Defensive in Relationships ...

    www.aol.com/1-best-way-stop-being-203743840.html

    "Using this technique habitually can help you learn to slow down negative feelings and choose a different approach," Bradden says. Or, try something even more basic—breathe. "Slow, deep belly ...

  9. Polygon triangulation - Wikipedia

    en.wikipedia.org/wiki/Polygon_triangulation

    This number is given by the 5th Catalan number. It is trivial to triangulate any convex polygon in linear time into a fan triangulation, by adding diagonals from one vertex to all other non-nearest neighbor vertices. The total number of ways to triangulate a convex n-gon by non-intersecting diagonals is the (n−2)nd Catalan number, which equals