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Joint Self-Calibration of Receiver Geometry, Timing, and Target Positions for Multistatic Radar Autofocus. [PDF]
Sensors (Basel)Weiss AJ +4 more
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From sequences to schemas: low-rank recurrent dynamics underlie abstract relational representations
Boboeva V +3 more
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ESTIMATES OF SINGULAR NUMBERS OF INTEGRAL OPERATORS
Russian Mathematical Surveys, 1977ContentsIntroduction § 1. Operator spaces and function spaces § 2. Estimates of singular numbers based on the method of piecewise-polynomial approximation § 3. Interpolation methods § 4. General results on estimates (statements) § 5. Proof of the main results on estimates § 6. Operators with a difference kernel § 7.
Birman, M. Sh., Solomyak, M. Z.
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On the Milnor Number of an Equivariant Singularity
Mathematical Notes, 2002Let \(f : (\mathbb{C}^n,0) \to (\mathbb{C},0)\) 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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Fudan Journal of the Humanities and Social Sciences, 2019
In natural language, number-words can be used in two different syntactic ways: adjectivally, i.e., with the syntactic status of an adjective, as in (1) ‘Mars has two moons,’ and nominally, i.e., with the syntactic status of a noun phrase, as in (2) ‘Two is even.’ This syntactic difference is often taken to correspond to a difference in semantic ...
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In natural language, number-words can be used in two different syntactic ways: adjectivally, i.e., with the syntactic status of an adjective, as in (1) ‘Mars has two moons,’ and nominally, i.e., with the syntactic status of a noun phrase, as in (2) ‘Two is even.’ This syntactic difference is often taken to correspond to a difference in semantic ...
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SINGULAR NUMBERS OF A WEIGHTED CONVOLUTION OPERATOR
Mathematics of the USSR-Sbornik, 1988Let the convolution operator \[ Kf=\int^{2\pi}_{0}k(x-y)f(y)dy \] act from \(L_ 2(0,2\pi)\) into \(L_ 2(0,2\pi,\mu)\), where \(k(x)=k(x+2\pi)\), \(d\mu =p(x)dx\), p(x)\(\geq 0\). Under some additional assumptions the author receives equality \(\lim_{n\to \infty}S_ n(K)| \hat k_ n|^{-1}=\sqrt{C(\mu)}\), where \(s_ n(K)\) are singular numbers of the ...
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Topological Numbers and Singularities
1997Scale space approach provides a tool for studying a given image at all scales simultaneously. Features that can be detected at large scales can provide clues for tracing more detailed information at fine scales. For this ideology to be constructive, one needs to investigate which local properties (or local operators) are appropriate for quantifying the
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Singular Milnor numbers of non-isolated matrix singularities
2010In this dissertation we obtain formulas to describe the local topology of certain non-isolated matrix singularities. We find free divisors in various vector spaces of matrices which include the hypersurface of singular matrices as a component, and use these to express the singular Milnor numbers of matrix singularities in terms of the codimensions of ...
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Milnor numbers of nonisolated saito singularities
Functional Analysis and Its Applications, 1987It 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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