Hence, as ξ varies, p homographically describes a line Λ in Σ.
Homaloidal hypersurfaces and hypersurfaces with vanishing Hessian
Two empirical case studies are reported. (cid:15) Text-based lexical probabilities. { What may appear as a relatively unbiased part-of-speech homograph in a heterogeneous corpus may be used in a far more uniform fashion in a particular text.
Three studies of grammar-based surface-syntactic parsing of unrestricted English text. A summary and orientation
The ﬁrst one is the group of nonlocal transformations (15) which in the continuous limit reduce to the homographic transformations (12), where (a, b, c, d, ξ ) are arbitrary analytic functions of x and of the stepsize.
A new method to test discrete Painlev\'e equations
Given two triplets of points, there exists a unique homographic transformation applying one triplet onto the other one.
The Painlev\'e approach to nonlinear ordinary differential equations
An element of this homographic group (3.5) will be denoted T (α, β , γ , δ ; ξ ) or simply T (α, β ; ξ ) in the case (γ = 0, δ = 1).
The Painlev\'e approach to nonlinear ordinary differential equations
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