On Unit Groups of Completely Primary Finite Rings [PDF]
, 2008 Let R be a commutative completely primary finite ring with the unique maximal ideal J such that J3 = (0) and J2 ≠ (0): Then R⁄J ≅ GF(pr) and the characteristic of R is pk, where 1 ≤ k ≤ 3, for some prime p and positive ...
Chikunji, Chiteng'a John
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Early algebra ideas about binomial expansion, Stephanie's interview three of seven, Clip 4 of 7: Beginning to explore volume as it compares to area [PDF]
, 1996 In the fourth clip in a series of seven from the third of seven interviews in which 8th grader Stephanie explores Early Algebraic Ideas about Binomial Expansion, Stephanie refers to the Base-10 squared materials to explain the difference between area and
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Early algebra ideas about binomial expansion, Stephanie's interview five of seven, Clip 10 of 10: Generating the exponents in the expansion of (a + b) to the seventh power. [PDF]
, 1996 In the final clip in a series of ten from the fifth of seven interviews, 8th grader Stephanie continues her exploration of Early Algebraic Ideas about Binomial Expansion.
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Icosahedral Fibres of the Symmetric Cube and Algebraicity
, 2008 For any number field F, call a cusp form π = π_∞⊗πf on GL(2)/F special icosahedral, or just s-icosahedral for short, if π is not solvable polyhedral, and for a suitable "conjugate" cusp form π' on GL(2)/F, sym^3(π) is isomorphic to sym^3(π'), and the symmetric fifth power L-series of π equals the Rankin-Selberg L-function L(s, sym^2(π') × π) (up to a ...
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Linear Algebra Representation of Necker Cubes I: The Crazy Crate
The Australasian Journal of Logic, 2009 We apply linear algebra to the study of the inconsistent figure known as the Crazy Crate. Disambiguation by means of occlusions leads to a class of sixteen such figures: consistent, complete, both and neither. Necessary and sufficient conditions for inconsistency are obtained.
Chris Mortensen, Steve Leishman
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EXT-FINITE MODULES FOR WEAKLY SYMMETRIC ALGEBRAS WITH RADICAL CUBE ZERO [PDF]
Journal of the Australian Mathematical Society, 2016 Assume that $A$ is a finite-dimensional algebra over some field, and assume that $A$ is weakly symmetric and indecomposable, with radical cube zero and radical square nonzero. We show that such an algebra of wild representation type does not have a nonprojective module $M$ whose ext-algebra is finite dimensional. This gives a complete classification of
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Early algebra ideas about binomial expansion, Stephanie's interview four of seven, Clip 8 of 9: Issues related to a physical model for (a+b) cubed and the volume of the model for a=1 and b=2. [PDF]
, 1996 In the eighth clip in a series of nine from the fourth of seven interviews in which 8th grader Stephanie explores Early Algebraic Ideas about Binomial Expansion, Stephanie revisits her physical model of (a+b) cubed.
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Solving the Rubik\u27s Cube using Group Theory [PDF]
, 2017 While he was working in his mother\u27s apartment in 1974, the professor of architecture from Budapest, Erno Rubik, had no idea he was inventing one of the most popular toys in history, the Rubik\u27s Cube.
Cooke, Courtney
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A Fault-Tolerant Multicast Routing Algorithm Based on Cube Algebra for Hypercube Multicomputers [PDF]
, 2000 10th Mediterranean Electrotechnical Conference on Information Technology and Electrotechnology for the Mediterranean Countries -- MAY 29-31, 2000 -- LEMESOS, CYPRUSIn this study a broadcast rooting algorithm has been developed for faulty hypercube ...
Yılmaz, Nihat +2 more
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A amplitude do conjunto dos números irracionais [PDF]
, 2002 TCC (graduação) - Universidade Federal de Santa Catarina, Centro de Ciências Físicas e Matemáticas, Curso de Matemática.Tem como base destacar o quão grande é o conjunto dos números irracionais, respondendo perguntas como: Existem mais números ...
Moscibroski, Thais Meurer
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