Download A Dictionary of Selected Synonyms in the Principal by Carl Darling Buck PDF

By Carl Darling Buck

ISBN-10: 0226079376

ISBN-13: 9780226079370

Originally released in 1949 and showing now for the 1st time in a paperbound variation, Buck's Dictionary is still an integral instrument for diachronic research of the Indo-European languages. prepared in line with the which means of phrases, the paintings includes greater than 1,000 groupings of synonyms from the valuable Indo-European languages. dollar first tabulates the phrases describing a selected suggestion after which discusses their etymological and semantic background, tracing alterations in that means of the basis phrases in addition to providing instances indicating which of the older kinds were changed by way of expressions of colloquial or overseas origin.

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Extra resources for A Dictionary of Selected Synonyms in the Principal Indo-European Languages: A Contribution to the History of Ideas

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Alternately, start with two points. Attach two 1-cells (intervals) by sending one endpoint to each of the two points that formed the previous stage. This constructs a circle, S 1 . Given S n−1 by iteration, form S n by identifying the boundaries of each of two n-cells with S n−1 . This latter construction is convenient for studying real projective space. Any manifold can be constructed as a CW complex and such constructions are useful for calculating the homology or cohomology of the manifold. cycle An element c in Cn such that ∂n (c) = 0, where Cn is a member of a chain complex over a ring R.

Let α : I → R3 be a curve parameterized by arc length S (S ∈ I ) and αsf (s) = 0. For each value of S, let t, n, and b be vector fields along α defined by t (s) = αsf (s) , n (s) = αsf (s) , αsf (s) and b (s) = t (s) × n (s) . The derivative bsf (s) = τ (s) n (s) yields the function τ : I → R , a geometric entity which is the torsion of α in the neighborhood of s. It measures the arc-rate of turning of b. Generalizing to n-dimensional conformal space, the conformal torsion of a curve can be derived from the Frenet-Serret apparatus.

See category. dual complex The set of dual cells of simplices of a complex. More specifically, consider a simplicial complex C. Let C be the barycentric subdivision of C and, for any q-simplex σ of C, let C(σ ) denote the union of all (n − q)simplices (n being the dimension of the manifold) of C . Then the set C ∗ = {C(σ ) : σ ∈ C} is the dual complex of C. dual convex cone Given a convex cone C ⊆ Rn , the set {x ∈ Rn : (x, y) ≤ 0 for all y ∈ C}. Here (x, y) denotes the inner product of x and y.

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A Dictionary of Selected Synonyms in the Principal Indo-European Languages: A Contribution to the History of Ideas by Carl Darling Buck

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