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The Manin-Drinfeld theorem and the rationality of Rademacher symbols
(2020)arXivFor any noncocompact Fuchsian group Γ, we show that periods of the canonical differential of the third kind associated to residue divisors of cusps are expressed in terms of Rademacher symbols for Γ - generalizations of periods appearing in the classical theory of modular forms. This result provides a relation between Rademacher symbols and the famous theorem of Manin and Drinfeld. On this basis, we present a straightforward group-theoretic ...Working Paper -
ARNOLD HARTLEY GIBSON: Hydraulics professor and textbook author
(2022)The United Kingdom was the leading nation in the 19th century, then the British Empire. Despite this fact, hydraulic engineering was not a main concern. Scientists rather worked in maritime hydraulics and naval architecture. In all the above three topics, textbooks were not really available, because both engineers and scientists rather published their works in scientific journals. Gibson, an indirect successor of Osborne Reynolds at the ...Working Paper -
Reviews and syntheses: The promise of big soil data, moving current practices towards future potential
(2021)Biogeosciences DiscussionsIn the age of big data, soil data are more available than ever, but -outside of a few large soil survey resources- remain largely unusable for informing soil management and understanding Earth system processes outside of the original study. Data science has promised a fully reusable research pipeline where data from past studies are used to contextualize new findings and reanalyzed for global relevance. Yet synthesis projects encounter ...Working Paper -
Brief communication: Do 1.0 °C, 1.5 °C or 2.0 °C matter for the future evolution of Alpine glaciers?
(2021)The Cryosphere DiscussionsWith the Paris Agreement, the urgency of limiting ongoing anthropogenic climate change has been recognized. More recent discussions have focused on the difference of limiting the increase in global average temperatures below 1.0, 1.5, or 2.0 °C compared to pre-industrial levels. Here, we assess the impacts that such different scenarios would have on both the future evolution of glaciers in the European Alps and the water resources they ...Working Paper -
A Canonical Transform for Strengthening the Local Lp-Type Universal Approximation Property
(2021)arXivMost Lp-type universal approximation theorems guarantee that a given machine learning model class ℱ⊆C(ℝd,ℝD) is dense in Lpμ(ℝd,ℝD) for any suitable finite Borel measure μ on ℝd. Unfortunately, this means that the model's approximation quality can rapidly degenerate outside some compact subset of ℝd, as any such measure is largely concentrated on some bounded subset of ℝd. This paper proposes a generic solution to this approximation ...Working Paper -
[Re] Ensuring Connectivity via Data Plane Mechanisms
(2021)ReScienceThe connectivity is of paramount importance to a network, whose basic function is to route packets between end points. Junda Liu et al. proposed Data‐Driven Connectivity (DDC) to ensure routing connectivity via data plane mechanisms, which allows networks to provide a much higher degree of availability, while still providing flexible routing control [1]. Nowadays, against the backdrop of the development of P4, Programming Protocol‐independent ...Working Paper -
A missense variant effect prediction and annotation resource for SARS-CoV-2
(2021)bioRxivThe COVID19 pandemic is a global crisis severely impacting many people across the world. An important part of the response is monitoring viral variants and determining the impact they have on viral properties, such as infectivity, disease severity and interactions with drugs and vaccines. In this work we generate and make available computational variant effect predictions for all possible single amino-acid substitutions to SARS-CoV-2 in ...Working Paper -
Water uptake patterns of pea and barley responded to drought but not to cropping systems
(2021)Biogeosciences DiscussionsAgricultural production is under threat of water scarcity due to increasingly frequent and severe drought events under climate change. Whether a change in cropping systems can be used as an effective adaptation strategy against drought is still unclear. We investigated how plant water uptake patterns of a field-grown pea-barley (Pisum sativum L. and Hordeum vulgare L.) mixture, an important fodder crop, responded to experimental drought ...Working Paper -
Pan-Cancer landscape of protein activities identifies drivers of signalling dysregulation and patient survival
(2021)bioRxivGenetic alterations in cancer cells trigger oncogenic transformation, a process largely mediated by the dysregulation of kinase and transcription factor (TF) activities. While the mutational profiles of thousands of tumours has been extensively characterized, the measurements of protein activities has been technically limited until recently. We compiled public data of matched genomics and (phospho)proteomics measurements for 1,110 tumours ...Working Paper -