Las Álgebras de Boole Topológicas, llamadas también “Álgebras Interiores” o “Álgebras de Clausura”, fueron estudiadas por Tarski [5] y Naturman [2]. Los Espacios Bitopológicos, a su vez, fueron estudiados por [1]. En [3], se presentan las Álgebras de Boole Bitopológicas, que relacionan y generalizan naturalmente las estructuras anteriormente mencionadas. Entre otras aplicaciones, permiten dar u...

Despite my many trips to Ireland, I have never yet been to Cork. Therefore, I have never visited its university, formerly called Queen’s College. But surfing the web I came across a description of the Aula Maxima of Queen’s College. On the east-facing window of this hall there is the Boole Memorial Window, made up of ten glass panels in two rows of five panels each. Each panel represents a bran...

The algebra of logic developed by Boole was not Boolean algebra. In this article we give a natural framework that allows one to easily reconstruct his algebra and see the difficulties it created for his successors. It is well known that modern Boolean algebra is connected with the work of George Boole [1815–1864], namely with his two books on a mathematical treatment of logic: • The Mathematica...

The aim of the study is to develop a numerical method for solution cubic nonlinear differential equations in which based on Boole polynomials. That form truncated series and gives approximate type. In this method, firstly, matrix serial set equation converted into system. By adding effect both conditions problem collocation points system equations, we obtain new equations. coefficients Boole-ba...

is a well-known formula from classical analysis giving a relation between the finite sum of values of a function f , whose first m derivatives are absolutely integrable on [a, n], and its integral, for a,m, n ∈ N, a < n. This elementary formula appears often in introductory texts [2, 17], usually in reference to a particular application—Stirling’s asymptotic formula. However, general approaches...

The collected works of English mathematics educator, Mary Boole, might be invaluable for education and curriculum research that attempts to understand the question: “what counts as knowing?” Even though it was written before 1916, Boole’s work allows curriculum researchers and teacher educators interested in the question to experience a significant shift in thinking. For example, in the followi...

For each word w in the Fibonacci lattices Fib(r) and Z (r) we partition the interval ^ 0; w] in Fib(r) into subposets called r-Boolean posets. In the case r = 1 those subposets are isomorphic to Boolean algebras. We also partition the interval ^ 0; w] in Z (r) into certain spanning trees of the r-Boolean posets. A bijection between those intervals is given in which each r-Boolean poset in Fib(r...