Results 51 to 60 of about 508,252 (212)
Signs, figures and time: Cavaillès on “intuition” in mathematics
This paper is concerned with Cavaillès’ account of “intuition” in mathematics. Cavaillès starts from Kant’s theory of constructions in intuition and then relies on various remarks by Hilbert to apply it to modern mathematics.
Pierre CASSOU-NOGUÈS
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A characterization of operators via Berezin symbol and related questions
In this paper, we characterize the hyponormal operators with regard to Berezin symbol and reproducing kernel. Also, we demonstrate several Berezin number inequalities for bounded linear operators.
Yamancı Ulaş
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Hilbert functions and symbolic powers.
Let p be a prime ideal of the regular local ring R, and let \(p^{(n)}=p^ nR_ p\cap R\) be the n-th symbolic power of p. \textit{R. Cowsik} [in Algebra and its Applications, Int. Symp., New Delhi 1981, Lect. Notes Pure Appl. Math. 91, 13-14 (1984; Zbl 0562.13002)] asks whether the ring \(\oplus p^{(n)}\) is Noetherian; this question motivates much of ...
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The Berezin Symbol and Multipliers of Functional Hilbert Spaces [PDF]
Summary: This paper focuses on a multiplicative property of the Berezin symbol \(\widetilde A\), of a given linear map \(A: {\mathcal H}\mapsto {\mathcal H}\), where \(\mathcal H\) is a functional Hilbert space of analytic functions. We show \(\widetilde{AB}= \widetilde A\widetilde B\) for all \(B\) in \({\mathcal B}({\mathcal H})\) if and only if \(A\)
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Hilbert symbols, class groups and quaternion algebras [PDF]
Let B be a quaternion algebra over a number field k . To a pair of Hilbert symbols {
Chinburg, Ted, Friedman Rafael, Eduardo
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Four decades of retinal vessel segmentation research (1982–2025) are synthesized, spanning classical image processing, machine learning, and deep learning paradigms. A meta‐analysis of 428 studies establishes a unified taxonomy and highlights performance trends, generalization capabilities, and clinical relevance.
Avinash Bansal +6 more
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Arithmetical Hilbert symbols, distance maps and cohomology [PDF]
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Advances in causal discovery methods for ecological time series
ABSTRACT Recent advances in data collection technologies (e.g. automated sensor networks, satellite remote sensing, and high‐throughput sequencing) have greatly expanded the availability of ecological time series, enabling new opportunities for causal analyses in dynamic ecosystems.
Kenta Suzuki +6 more
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The multiplicative Hilbert matrix [PDF]
It is observed that the infinite matrix with entries (√mnlog(mn))−1 for m,n≥2 appears as the matrix of the integral operator Hf(s):=∫1/2 +∞f(w)(ζ(w+s)−1)dw with respect to the basis (n−s)n≥2; here ζ(s) is the Riemann zeta function and H is defined on ...
Vukotić, Dragan +14 more
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Single-sideband (SSB) modulation through Hilbert transformation has successfully transmitted data using only half the bandwidth of the traditional scheme for the same amount of contained information.
Mohammed Mustafa Alhasani +3 more
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