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  2. Noetic Learning math contest - Wikipedia

    en.wikipedia.org/wiki/Noetic_Learning_Math_Contest

    The Noetic Learning math contest was founded in 2007 by Li Kelty. The company is based in Overland Park, Kansas. [6] The contest has grown over the years, with participants from various schools across the United States. [18] In Spring 2023, more than 35,000 students nationwide participated in the Noetic Learning Math Contest. [19]

  3. Ring (mathematics) - Wikipedia

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

    A free ring satisfies the universal property: any function from the set X to a ring R factors through F so that F → R is the unique ring homomorphism. Just as in the group case, every ring can be represented as a quotient of a free ring. [46] Now, we can impose relations among symbols in X by taking a quotient.

  4. Ring modulation - Wikipedia

    en.wikipedia.org/wiki/Ring_modulation

    A ring modulator is an electronic device for ring modulation. A ring modulator may be used in music synthesizers and as an effects unit . The name derives from the fact that the analog circuit of diodes originally used to implement this technique takes the shape of a ring: a diode ring . [ 2 ]

  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 R-module ...

  6. Grade (ring theory) - Wikipedia

    en.wikipedia.org/wiki/Grade_(ring_theory)

    In commutative and homological algebra, the grade of a finitely generated module over a Noetherian ring is a cohomological invariant defined by vanishing of Ext-modules [1] = = {: (,)}.

  7. Exclusive: Seen any paranormal activity on your Ring device ...

    www.aol.com/exclusive-seen-paranormal-activity...

    Ring's Great Ghost Search will award one user a $100,000 check for submitting the best paranormal activity through a Ring device. Only the first 5,000 entries received through Nov. 1 will be ...

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