Results 21 to 30 of about 1,325 (109)
Log-Like Functions and Uniform Distribution Modulo One
Uniform distribution theory, 2018 Abstract For a function f satisfying f ( x ) = o ((log x ) K
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TABI: Tight and Balanced Interactive Atlas Packing
Computer Graphics Forum, EarlyView.Abstract Atlas packing is a key step in many computer graphics applications. Packing algorithms seek to arrange a set of charts within a fixed‐size atlas with as little downscaling as possible. Many packing applications such as content creation tools, dynamic atlas generation for video games, and texture space shading require on‐the‐fly interactive ...
F. Gu, N. Vining, A. Sheffer
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Topology‐based Visual Analysis of Hydrothermal Plumes
Computer Graphics Forum, EarlyView.Abstract Hydrothermal plumes are turbulent structures of intense heat and mineral smoke that rise and disperse into the deep ocean. Existing models generally characterize these systems as a single axisymmetric plume originating from a point source. However, this assumption breaks down in weakly venting, spatially distributed systems, where low‐flux ...
Adhitya Kamakshidasan +3 more
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On an Inequality of Erdős and Turán Concerning Uniform Distribution Modulo One, II
Journal of Number Theory, 1994 [Part I, cf. Colloq. Math. Soc. Janos Bolyai 60, 621-630 (1992; Zbl 0791.60013).] Let \(x_ 1, \dots, x_ N\) be a sequence of real numbers; \(\Delta_ N\) its discrepancy and \(\alpha_ k = {1 \over N} \sum^ N_{j=1} e^{2 \pi ik}\) its Fourier coefficients. A famous theorem of Erdős and Turán says \[ \Delta_ N \ll B_ N : = \min_ K \left( {1 \over k} + \sum^
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A Comparative User Study on Control‐Flow Visualizations of Event Log Data
Computer Graphics Forum, EarlyView.This paper compares seven commonly used control‐flow visualizations using a formal user study with 48 participants. Directly‐Follows Graphs (DFGs), Petri nets, Business Process Model and Notations, Process trees, variant timelines, Icicle plots, and Sankey visualizations are evaluated on their performance on different tasks, understandability, and user
S. van der Linden +4 more
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A Practical Guide to Studying Magnetic Alignment of Free‐Living Animals: Lessons From Leopards
Ethology, EarlyView.We show that spatial autocorrelation in circular data can be detected and provide guidelines how to avoid such issues in magnetic alignment field studies. ABSTRACT Spontaneous magnetic alignment describes the tendency of animals to preferentially orient their major body axis in a non‐random alignment relative to the magnetic field.
Lukas Landler +2 more
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On the uniform distribution modulo one of some log-like sequences
Proceedings of the Japan Academy, Series A, Mathematical Sciences, 1992 This paper is reviewed together with the one by \textit{K. Goto} and \textit{T. Kano} (see above).
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Miners' Reward Elasticity and Stability of Competing Proof‐of‐Work Cryptocurrencies
International Economic Review, EarlyView.ABSTRACT Proof‐of‐Work cryptocurrencies employ miners to sustain the system through algorithmic reward adjustments. We develop a stochastic model of the multicurrency mining and identify conditions for stable transaction speeds. Bitcoin's algorithm requires hash supply elasticity <$<$1 for stability, while ASERT remains stable for any elasticity and ...
Kohei Kawaguchi +2 more
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Mathematical Proceedings of the Cambridge Philosophical SocietyAbstractOn the assumption of the Riemann hypothesis and a spacing hypothesis for the nontrivial zeros $1/2+i\gamma$ of the Riemann zeta function, we show that the sequence \begin{equation*}\Gamma_{[a, b]} =\Bigg\{ \gamma : \gamma>0 \quad \mbox{and} \quad \frac{ \log\big(| \zeta^{(m_{\gamma })} (\frac12+ i{\gamma }) | / (\!\log{{\gamma }} )^{m_ ...
Çiçek, Fatma, Gonek, Steven M.
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Marchenko–Pastur Laws for Daniell Smoothed Periodograms
Journal of Time Series Analysis, EarlyView.ABSTRACT Given a sample X0,…,Xn−1$$ {X}_0,\dots, {X}_{n-1} $$ from a d$$ d $$‐dimensional stationary time series (Xt)t∈ℤ$$ {\left({X}_t\right)}_{t\in \mathbb{Z}} $$, the most commonly used estimator for the spectral density matrix F(θ)$$ F\left(\theta \right) $$ at a given frequency θ∈[0,2π)$$ \theta \in \left[0,2\pi \right) $$ is the Daniell smoothed ...
Ben Deitmar
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