Results 151 to 160 of about 1,001 (184)

The cardiovascular changes underlying a low cardiac output with exercise in patients with type 2 diabetes mellitus. [PDF]

Front Physiol
Lav Madsen P, Sejersen C, Nyberg M, Sørensen MH, Hellsten Y, Gaede P, Bojer AS.   +6 more
europepmc   +1 more source

Probability density and information entropy of machine learning derived intracranial pressure predictions. [PDF]

PLoS One
Abdul-Rahman A, Morgan W, Vukmirovic A, Yu DY.   +3 more
europepmc   +1 more source

THE MILNOR NUMBER FOR CURVES ON TORIC SURFACES

, 1985
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Milnor Number and Milnor Classes

2009
Both Schwartz–MacPherson and Fulton–Johnson classes generalize Chern classes to the case of singular varieties. It is known that for local complete intersections with isolated singularities, the 0-degree SM and FJ classes differ by the local Milnor numbers [149] and all other classes coincide [155].
Jean-Paul Brasselet, José Seade, Tatsuo Suwa   +2 more
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On the Milnor Number of an Equivariant Singularity

Mathematical Notes, 2002
Let \(f : (\mathbb{C}^n,0) \to (\mathbb{C},0)\) be a holomorphic germ being invariant under a non-trivial action of the group \(\mathbb{Z}/p\), \(p\) prime, with isolated critical point at \(0\) such that the 2--jet of \(f\) is \(0\). It is proved that the Milnor number \(\mu(f) \geq p - 1\).
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On the Milnor and Tjurina Numbers of Zero-Dimensional Singularities

Functional Analysis and Its Applications, 2022
The Milnor number of an isolated complete intersection is greater than or equal to its Tjurina number if and only if the hypersurface is quasi-homogeneous. To calculate the Milnor and Tjurina numbers, the Poincaré-de Rham complex and the cotangent complex are useful.
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Milnor numbers of nonisolated saito singularities

Functional Analysis and Its Applications, 1987
It is shown that Milnor numbers of a quasihomogeneous Saito singularity can be calculated by investigating the cohomology groups of a complex on certain affine space.
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Equivariant Milnor Numbers and Invariant Morse Approximations

Journal of the London Mathematical Society, 1985
Let G be a finite group, V an orthogonal complex representation of G and f: (V,0)\(\to {\mathbb{C}}\) the germ of a G-invariant holomorphic function with an isolated critical point. This paper proves that there is a deformation of a representative of f, through invariant functions, in which the generic fibre has only non-degenerate (or Morse) critical ...
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Milnor number of a hypersurface at the origin

2021
The modern theory of applications of Newton polyhedra to affine Bezout problem started from A. Kushnirenko’s work aimed at answering V. I. Arnold’s question on Milnor numbers of generic singularities. In [Kou76] Kushnirenko gave a beautiful formula for a lower bound of the Milnor number at the origin in terms of volumes of the region bounded by the ...
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On Milnor's triple linking number

Comptes Rendus de l'Académie des Sciences - Series I - Mathematics, 1997
Summary: We define an operation of summation of 3 knots along a \(Y\)-graph, similar to the band sum of 2 components. Starting from the second degree Vassiliev knot invariant, we obtain, by means of \(Y\)-summation, Milnor's triple linking number \(\overline \mu_{123}\).
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