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  2. Univalent function - Wikipedia

    en.wikipedia.org/wiki/Univalent_function

    One can prove that if and are two open connected sets in the complex plane, and : is a univalent function such that () = (that is, is surjective), then the derivative of is never zero, is invertible, and its inverse is also holomorphic.

  3. National Council of Teachers of Mathematics - Wikipedia

    en.wikipedia.org/wiki/National_Council_of...

    In 1944, NCTM created a postwar plan to help World War II have a lasting effect on math education. Grades 1-6 were considered crucial years to build the foundations of math concepts with the main focus on algebra. In the war years, algebra had one understood purpose: to help the military and industries with the war effort.

  4. Module (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Module_(mathematics)

    A module is called flat if taking the tensor product of it with any exact sequence of R-modules preserves exactness. Torsionless A module is called torsionless if it embeds into its algebraic dual. Simple A simple module S is a module that is not {0} and whose only submodules are {0} and S. Simple modules are sometimes called irreducible. [5 ...

  5. Flat module - Wikipedia

    en.wikipedia.org/wiki/Flat_module

    Download as PDF; Printable version; In other projects ... A module M is projective if and only if there is a free module G and two linear maps : ... 6: 1 – 42, doi ...

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  7. Square packing - Wikipedia

    en.wikipedia.org/wiki/Square_packing

    [1] Some numbers of unit squares are never the optimal number in a packing. In particular, if a square of size a × a {\displaystyle a\times a} allows the packing of n 2 − 2 {\displaystyle n^{2}-2} unit squares, then it must be the case that a ≥ n {\displaystyle a\geq n} and that a packing of n 2 {\displaystyle n^{2}} unit squares is also ...

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