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  2. Quaternion - Wikipedia

    en.wikipedia.org/wiki/Quaternion

    The unit quaternions give a group structure on the 3-sphere S 3 isomorphic to the groups Spin(3) and SU(2), i.e. the universal cover group of SO(3). The positive and negative basis vectors form the eight-element quaternion group .

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  4. Investigations in Numbers, Data, and Space - Wikipedia

    en.wikipedia.org/wiki/Investigations_in_Numbers...

    Investigations was developed between 1990 and 1998. It was just one of a number of reform mathematics curricula initially funded by a National Science Foundation grant. The goals of the project raised opposition to the curriculum from critics (both parents and mathematics teachers) who objected to the emphasis on conceptual learning instead of instruction in more recognized specific methods ...

  5. Module (mathematics) - Wikipedia

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

    Modules of this type are called free and if R has invariant basis number (e.g. any commutative ring or field) the number n is then the rank of the free module. If M n ( R ) is the ring of n × n matrices over a ring R , M is an M n ( R )-module, and e i is the n × n matrix with 1 in the ( i , i ) -entry (and zeros elsewhere), then e i M is an ...

  6. Square packing - Wikipedia

    en.wikipedia.org/wiki/Square_packing

    Square packing in a square is the problem of determining the maximum number of unit squares (squares of side length one) that can be packed inside a larger square of side length .

  7. PSAT/NMSQT - Wikipedia

    en.wikipedia.org/wiki/PSAT/NMSQT

    Students register for the exam through high schools that are members of the College Board. The test is composed of two sections: reading and Writing and Math. Each section has two modules. Each Reading and Writing module lasts 32 minutes, and each Math module lasts 35 minutes, for a total of 2 hours and 14 minutes.

  8. Modular form - Wikipedia

    en.wikipedia.org/wiki/Modular_form

    In mathematics, a modular form is a holomorphic function on the complex upper half-plane, , that roughly satisfies a functional equation with respect to the group action of the modular group and a growth condition.

  9. How to Solve It - Wikipedia

    en.wikipedia.org/wiki/How_to_Solve_It

    How to Solve It suggests the following steps when solving a mathematical problem: . First, you have to understand the problem. [2]After understanding, make a plan. [3]Carry out the plan.

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