Results 11 to 20 of about 441 (217)
Implicitization of hypersurfaces
We present new, practical algorithms for the hypersurface implicitization problem: namely, given a parametric description (in terms of polynomials or rational functions) of the hypersurface, find its implicit equation. Two of them are for polynomial parametrizations: one algorithm, "ElimTH", has as main step the computation of an elimination ideal via ...
ABBOTT, JOHN ANTHONY +2 more
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Implicit Reward Structures for Implicit Reliability Models
A new methodology for effective definition and efficient evaluation of dependability-related properties is proposed. The analysis targets the systems composed of a large number of components, each one modeled implicitly through high-level formalisms, such as stochastic Petri nets.
Masetti G +3 more
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Implicit and semi-implicit schemes: Algorithms [PDF]
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Keppens, R. +3 more
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Implicit Consequentiality [PDF]
This paper examines the way in which high level semantic information influences the production and comprehension of pronouns. It reports a new type of verb semantic processing bias. We examine the effects of this bias on language comprehension.
Stewart, Andrew J. +2 more
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Implicit-implicit and parametric-implicit surface intersections in Euclidean n-space
In this paper, we study the intersection problem of two surfaces in which at least one surface is given by its implicit equation in Euclidean n-space. We first obtain the curvatures of the transversal intersection curve of two implicit surfaces. Later, the intersection problem is studied for a parametric surface and an implicit surface in n-dimensional
Bedia Merih Özçetin, Mustafa Düldül
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Numerical implicitization [PDF]
We present the $\textit{NumericalImplicitization}$ package for $\textit{Macaulay2}$, which allows for user-friendly computation of the invariants of the image of a polynomial map, such as dimension, degree, and Hilbert function values. This package relies on methods of numerical algebraic geometry, including homotopy continuation and monodromy.
Chen, Justin, Kileel, Joe
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We present modular implicits, an extension to the OCaml language for ad-hoc polymorphism inspired by Scala implicits and modular type classes. Modular implicits are based on type-directed implicit module parameters, and elaborate straightforwardly into OCaml's first-class functors.
White, Leo +2 more
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Implicit extremes and implicit max–stable laws [PDF]
Let $X_1,...,X_n$ be iid random vectors and $f\ge 0$ be a non-negative function. Let also $k(n) = {\rm Argmax}_{i=1,...,n} f(X_i)$. We are interested in the distribution of $X_{k(n)}$ and their limit theorems. In other words, what is the distribution the random vector where a function of its components is extreme?
Scheffler, Hans-Peter, Stoev, Stilian
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Tropical Implicitization Revisited
Tropical implicitization means computing the tropicalization of a unirational variety from its parametrization. In the case of a hypersurface, this amounts to finding the Newton polytope of the implicit equation, without computing its coefficients.
Rose, Kemal +2 more
core
Approximate Implicitization of Space Curves
The process of implicitization generates an implicit representation of a curve or surface from a given parametric one. This process is potentially interesting for applications in Com- puter Aided Design, where the robustness and efficiency of ...
Jüttler, B. +5 more
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