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William H. Sadlier was founded as D&J Sadlier in 1832 by two Irish-born brothers, Denis and James Sadlier, who emigrated from Cashel, County Tipperary to the United States and began publishing materials under the aforementioned name. [2] [1] [3] In the 1840s, D&J Sadlier established a Canadian branch of the company in Montreal. [2]
Connected Mathematics is a comprehensive mathematics program intended for U.S. students in grades 6–8.The curriculum design, text materials for students, and supporting resources for teachers were created and have been progressively refined by the Connected Mathematics Project (CMP) at Michigan State University with advice and contributions from many mathematics teachers, curriculum ...
In geometry, the notion of a connection makes precise the idea of transporting local geometric objects, such as tangent vectors or tensors in the tangent space, along a curve or family of curves in a parallel and consistent manner.
Alfred S. Posamentier. Alfred S. Posamentier (born October 18, 1942) is an American educator and a lead commentator on American math and science education, regularly contributing to The New York Times and other news publications. [1]
In mathematics, connectedness [1] is used to refer to various properties meaning, in some sense, "all one piece". When a mathematical object has such a property, we say it is connected; otherwise it is disconnected. When a disconnected object can be split naturally into connected pieces, each piece is usually called a component (or connected ...
A simply connected map (1-connected map) is one that is an isomorphism on path components (0th homotopy group) and onto the fundamental group (1st homotopy group). n -connectivity for spaces can in turn be defined in terms of n -connectivity of maps: a space X with basepoint x 0 is an n -connected space if and only if the inclusion of the ...
In applied mathematics, lambda-connectedness (or λ-connectedness) deals with partial connectivity for a discrete space. Assume that a function on a discrete space (usually a graph ) is given. A degree of connectivity (connectedness) will be defined to measure the connectedness of the space with respect to the function.
Analogously, given a path-connected topological space X, there is an antitone Galois connection between subgroups of the fundamental group π 1 (X) and path-connected covering spaces of X. In particular, if X is semi-locally simply connected, then for every subgroup G of π 1 (X), there is a covering space with G as its fundamental group.