96 datasets

figshare + Loughborough Research Repository + GRANTS Data + UP Research Data Repository2026 · Astronomical catalogue

This animation illustrates the parameter-dependent evolution of the traveling wave voltage profile (bottom left) and its corresponding linear stability spectrum (right) mapped to the FHN dispersion relation (top left). The current state is indicated by a blue marker on the dispersion curve. The pink square denotes a saddle-node bifurcation and green dot denotes a Hopf bifurcation. As the parameter

Loughborough Research Repository + GRANTS Data + UP Research Data Repository2026 · Crystal structure

<p dir="ltr">Supplementary Data 2 from <i>Poof! </i>Existence of Perfect Cuboids: large Excel files containing a developing approach to solving the system of Diophantine equations describing a perfect cuboid</p>

ZivaHub + Deakin Research Online + DMU Figshare2026 · dataset · unknown

It is known that the <i>K</i>-theory of the projective line P¹, over an arbitrary commutative ring splits into two copies of the <i>K</i>-theory of the ground ring. In this thesis, first we generalised this result to the case of an arbitrary strongly <i>Z</i>-graded ring <i>R</i>. The projective line associated with <i>R</i> is indirectly defined by specifying the corresponding category

figshare + Loughborough Research Repository + GRANTS Data + UP Research Data Repository2026 · Astronomical catalogue

Low nitrogen use efficiency caused by irrational nitrogen fertilization restricts Tartary buckwheat (TB) yield improvement. CLE peptides are key signaling molecules regulating plant nitrogen response, yet their functions in TB remain unclear. Herein, 16 <i>FtCLE</i> genes were identified in TB, and all encoding proteins contained conserved bioactive CLE mature peptides. The root-specific and high

UCL Research Data Repository2026 · Astronomical catalogue

<p>Axes: (horizontal), <i>p</i> (vertical). Our inequality yields tighter bounds in most of the parameter region.</p>

ZivaHub + Deakin Research Online + DMU Figshare2026 · dataset

<p dir="ltr">This paper proves an inverse theorem for finite sets of positive real numbers with polynomially many distinct subset sums. Almost all elements lie in a proper symmetric generalized arithmetic progression of polynomial size, with an optimal rank bound determined by the subset-sum growth exponent. The exceptional proportion tends to zero uniformly over the stated class of sets. The proo

ZivaHub + Deakin Research Online + DMU Figshare2026 · dataset · unknown

Quantum networks form the bedrock of emerging quantum technologies. By connecting quantum systems through entangled links, they enable remarkable applications such as distributed quantum computing, secure quantum communication, and entanglement-enhanced sensing. This thesis investigates several key challenges in quantum networks, namely resource distribution, percolation, and topology. The first p

ZivaHub + Deakin Research Online + DMU Figshare2026 · dataset

<p dir="ltr">Let p_1 < p_2 < ··· be the sequence of primes, let</p><p><br></p><p dir="ltr">g_i = p_(i+1) - p_i,</p><p><br></p><p dir="ltr">and define</p><p><br></p><p dir="ltr">K_i := [p_i√p_(i+1) - p_(i+1)√p_i] / [p_i + p_(i+1)].</p><p><br></p><p dir="ltr">This manuscript integrates in one chain the algebraic identities of the functional, its exact relation with the Andrica difference, a Euclidea

ZivaHub + Deakin Research Online + DMU Figshare + UCL Research Data Repository2026 · dataset · unknown

Dogs were the first species to be domesticated, and while other species perish due to anthropogenic influences, dogs thrive in the human-dominated environment. Notwithstanding, companion dogs can develop problem behaviours, such as aggressive responses, destructiveness, or stereotypic behaviours. Canine behaviour problems are one of the most cited reasons why owners relinquish their dogs to shelte

ZivaHub + Deakin Research Online2026 · dataset

<p dir="ltr"><i>The Mathematics of Thick and Thin Chaos</i> by Doug Doucette addresses a diagnostic ambiguity in nonlinear dynamics: a system can be chaotic yet remain functionally stable, while another can fail without a dramatic increase in local instability. The book argues that classical chaos diagnostics, especially positive Lyapunov exponents, establish only local sensitivity: nearby traject

ZivaHub2026 · dataset

<p dir="ltr">考拉兹（Collatz）猜想是百年数论领域著名的未决难题之一。该猜想断言任意正整数反复执行3x+1变换与除2操作后，终将落入平凡循环1↦4↦2↦1。过往研究多依托数值验算、轨道统计、周期上界估计与解析加权分析开展研究，仅能实现有限范围核验与现象归纳，无法从迭代内在机理完成严格完备推演，至今未有公认完备证明。本文严格遵循考拉兹原生迭代规则，仅依托初等数论工具，以奇偶博弈为底层演化机理，构建奇点‑打包单元完整分析框架。通过初值标准化预处理剥离全部偶数过渡项，提炼纯奇数奇点代际演化序列，依托相邻奇数定理严格证明相邻奇点恒互素，明确奇素因子仅可隔代传递、无法直接遗传的核心约束。本文将单次迭代结构化拆解为奇源扩势、跨域跃迁、偶域抑势三固定阶段，通过严格代数推导得到刻画轨道演化的奇源递推公式，将奇偶混杂的离散迭代，规整为纯粹奇点之间的确定性代际映射。在此完备模型基础上穷尽轨道

ZivaHub2026 · dataset

<p dir="ltr">The sign of the Cayley--Dickson basis product $e_i \cdot e_j = \pm e_{i \oplus j}$</p><p dir="ltr">coincides with the explicit twist function $\sigma(A,B)$ of Ren and Zhao</p><p dir="ltr">(Theorem~1 for the standard algebras; Theorem~2 for the split relation</p><p dir="ltr">$\sigma_s = \sigma + a_{n-1} b_{n-1}$)~\cite{RenZhao2023}.</p><p dir="ltr">This paper gives an independent treat

ZivaHub2026 · dataset

<p dir="ltr">This paper determines the exact strict extremal cardinalities for intersections of integer two-level sections of Boolean cubes in every dimension at least eight, with primitive noncoordinate normals in pairwise distinct projective directions. Below fifty percent of the cube's vertices, the three sharp maxima are three eighths of the total number of vertices plus two, plus one, or with

ZivaHub + HKU DataHub + figshare + Loughborough Research Repository + UP Research Data Repository2026 · Astronomical catalogue

<p dir="ltr">This dataset contains anonymized quantitative data supporting the study entitled “Cryptography-Based Mathematics Instruction to Enhance Students’ Digital Ethics and Digital Security Literacy: A Mixed-Methods Study.”</p><p dir="ltr">The dataset contains item-level pretest and post-test responses for Digital Ethics and Digital Security Literacy, together with cognitive-test scores from

HKU DataHub + figshare + Loughborough Research Repository + UP Research Data Repository2026 · Astronomical catalogue

<p dir="ltr">What types of dynamical structure in the world do we as scientists have models for? The 1000×1000 collection contains 1000 simulated time series, each 1000 samples long, generated from 133 mechanisms across 13 classes: noise and linear processes, long-memory and multifractal processes, nonlinear stochastic processes, deterministic maps, chaotic flows, oscillators, noise-driven continu

ZivaHub2026 · dataset

The progress in artificial intelligence has driven the development of bioinspired iontronics for neuromorphic computing, offering scalability and energy efficiency. Ionic-liquid-based iontronic devices have emerged as capable of emulating the complex functions of neurons and synapses. However, many mechanisms stop at millisecond pulses to trigger ion transport spikes. To open possibilities toward

ZivaHub2026 · dataset

<p dir="ltr">An integer two-level section of the Boolean cube is the set on which a primitive, noncoordinate integer linear functional takes one of two consecutive integer values. We study intersections whose defining normal directions are pairwise nonparallel. In dimension nine, the largest intersection size strictly below 50% of the cube’s vertices is 194 for nine defining directions, 193 for te

HKU DataHub + figshare + Loughborough Research Repository2026 · Astronomical catalogue

Supplementary Material

figshare + Loughborough Research Repository2026 · Astronomical catalogue

<p>Searching for minimal optimal feature set using RAFS. First 9 steps.</p>

figshare + Loughborough Research Repository2026 · Astronomical catalogue

<p>Clinical characteristics according to the presence of carotid plaques (CPs).</p>

figshare + Loughborough Research Repository2026 · Astronomical catalogue

<div><p>Carotid plaque (CP) is a surrogate marker of cardiovascular disease, and high-risk morphology significantly increases the risk of stroke. The aim of this study was to develop advanced machine learning (ML) models to predict the presence of CP in the general population. The study involved 693 participants from the Polish Longitudinal University Study – Bialystok PLUS, a representative sampl

figshare + Loughborough Research Repository2026 · Astronomical catalogue

<div><p>Carotid plaque (CP) is a surrogate marker of cardiovascular disease, and high-risk morphology significantly increases the risk of stroke. The aim of this study was to develop advanced machine learning (ML) models to predict the presence of CP in the general population. The study involved 693 participants from the Polish Longitudinal University Study – Bialystok PLUS, a representative sampl

figshare + Loughborough Research Repository2026 · Astronomical catalogue

<p>Distribution of twenty-five most important proteomic variables returned by Boruta in negative and positive classes.</p>

figshare + Loughborough Research Repository2026 · Astronomical catalogue

<p>Twenty five most important proteomic variables returned by Boruta.</p>

figshare2026 · Astronomical catalogue

<p>Comparison between CoRoPINN and standard or adaptive PINN baselines under different base models.</p>