Results 21 to 30 of about 13,466 (269)
On singularities of real algebraic sets and applications to kinematics
We address the question of identifying non-smooth points in Vℝ(I){{\bf{V}}}_{{\mathbb{R}}}(I) the real part of an affine algebraic variety. Two simple algebraic criteria will be formulated and proven.
Diesse Marc
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Relative singularity categories and singular equivalences [PDF]
Let $R$ be a right notherian ring. We introduce the concept of relative singularity category $Δ_{\mathcal{X}}(R)$ of $R$ with respect to a contravariantly finite subcategory $\mathcal{X}$ of $\rm{mod}\mbox{-}R.$ Along with some finiteness conditions on $\mathcal{X}$, we prove that $Δ_{\mathcal{X}}(R)$ is triangle equivalent to a subcategory of the ...
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Classical Collapse to Black Holes and Quantum Bounces: A Review
In the last four decades, different programs have been carried out aiming at understanding the final fate of gravitational collapse of massive bodies once some prescriptions for the behaviour of gravity in the strong field regime are provided.
Daniele Malafarina
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Some Examples of Calculation of Massless and Massive Feynman Integrals
We show some examples of calculations of massless and massive Feynman integrals.
Anatoly V. Kotikov
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Non-Singular graphs with a Singular Deck
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Alexander Farrugia +2 more
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Singularity analysis via the iterated kernel method [PDF]
We provide exact and asymptotic counting formulas for five singular lattice path models in the quarter plane. Furthermore, we prove that these models have a non D-finite generating function.
Stephen Melczer, Marni Mishna
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Kinematic Comparisons of Hybrid Mechanisms for Bone Surgery: 3-PRP-3-RPS and 3-RPS-3-PRP
This paper proposes an approach to derive the Jacobian matrix of a hybrid mechanism by applying a velocity operator to the transformation matrix. This Jacobian matrix is capable of deducing hybrid singularities, which cannot be identified by using the ...
Christopher Reinaldo +3 more
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Singularity, Wielandt’s lemma and singular values
The authors obtain some upper and lower bounds for the largest and the smallest singular values of certain complex matrices based on the entries and diagonal dominance. A relationship between largest singular value of a block matrix and its block norm matrix is obtained. Numerical examples are given to demonstrate the usefulness of their results.
Hou-Biao Li +3 more
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Nullcone Fronts of Spacelike Framed Curves in Minkowski 3-Space
The investigation of objects in Minkowski space is of great significance, especially for those objects with mathematical and physical backgrounds. In this paper, we study nullcone fronts, which are formed by the light rays emitted from points on a ...
Pengcheng Li, Donghe Pei
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ON RESOLVING SINGULARITIES [PDF]
Let V be an irreducible affine algebraic variety over a field k of characteristic zero, and let (f_0,...,f_m) be a sequence of elements of the coordinate ring. There is probably no elementary condition on the f_i and their derivatives which determines whether the blowup of V along (f_0,...,f_m) is nonsingular. The result is that there indeed is such an
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