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Zhao, Feng-Zhen; Wang, Tianming – International Journal of Mathematical Education in Science and Technology, 2005
In this paper, using the Lambert series and other known results, the authors consider the computation of a class of series involving the powers of generalized Fibonacci and Lucas numbers, and obtain their approximate values.
Descriptors: Algebra, Geometry, Mathematical Formulas, Numbers
Tong, Jingcheng – International Journal of Mathematical Education in Science and Technology, 2004
A semigroup G is a group if it has a left identity and every element has a left inverse. The purpose of this note is to weaken this condition further in two different ways. A semigroup G with an identity e is a group if every element x in G has an inverse. It is well known that this statement can be weakened. A semigroup G with a left identity e…
Descriptors: College Mathematics, Mathematics Instruction, Numbers, Algebra