Our Work

Let $T$ be an orientation-preserving real-linear contraction of an oriented plane with nonreal eigenvalues, and let its polygonal complexity be the least number of vertices of a nondegenerate convex p…

Let $T$ be an orientation-preserving real-linear contraction of an oriented plane with nonreal eigenvalues, and let its polygonal complexity be the least number of vertices of a nondegenerate convex polygon $P$ satisfying $TP\subseteq P$. We first develop an intrinsic contact theory for radially critical maps. Hereditary saturation, one-sided contact selection, exact contact mutations, a finite cyclic reduction, and the unimodular lattice sail lead to a contact-return normal form and a projective no-skipping principle. In an adapted complex coordinate, the resulting monodromy yields a heterogeneous Ito product and an exact lifted phase identity carried by Farey neighbors. We then apply this structure to determine, for every $n$, the union $\Theta_n$ of the spectra of all real row-stochastic $n\times n$ matrices. A strictly convex log-sine potential equalizes the monodromy factors and gives the sharp radial equation. Sparse stochastic matrices attain every equality point, while scalar Farey refinement proves nesting from order $n-1$ to order $n$. Together with radial filling and the unit-circle analysis, this establishes the full Farey--Ito description of the Karpelevi\v{c} region from critical invariant polygons.

strg_prune() implements transitive reduction of stratigraphic graphs (#13) strg_locate_cycles() locates cycles in stratigraphic graphs (#3) Radiocarbon-related functions (c14_* and cal_*) have been mo…

strg_prune() implements transitive reduction of stratigraphic graphs (#13) strg_locate_cycles() locates cycles in stratigraphic graphs (#3) Radiocarbon-related functions (c14_* and cal_*) have been moved to the c14 package. The legacy versions in this package will issue a deprecation warning until the next version, when they will be removed. Removes fs dependency – replaced with base R functions (#16) Removes tidyselect dependency ggplot2 and ggraph moved to suggested dependencies

Minor change in progress output. Switching to tqdm

Digital technologies have profoundly affected various aspects of people’s lives from the economy to healthcare. Governments have struggled to implement norms that enable digital innovation while…

Digital technologies have profoundly affected various aspects of people’s lives from the economy to healthcare. Governments have struggled to implement norms that enable digital innovation while protecting consumers, users, and democratic institutions.1 In 2016, World Economic Forum Founder and Executive Chairman Klaus Schwab used the title of his book, e Fourth Industrial Revolution, as the umbrella term describing the process of how technology has come to impact all aspects of society. Artificial intelligence (AI), fifth-generation mobile networks (5G), threedimensional (3D) printing, cloud computing, robotics, unmanned aerial vehicles (UAVs), augmented reality, the Internet of ings (IoT), genomics, biometrics, and blockchain are commonly included in the list of presentday emerging technologies anticipated to assist human societies to overcome global challenges.

NO2F : Nitryl fluoride Collection of spectroscopic data: vibrational frequencies, rotational constants, electronic energies, and enthalpies of formation. Calculation of thermodynamic properties as a f…

NO2F : Nitryl fluoride Collection of spectroscopic data: vibrational frequencies, rotational constants, electronic energies, and enthalpies of formation. Calculation of thermodynamic properties as a function of temperature under thermal equilibrium and non-equilibrium conditions: heat capacity at constant pressure (Cp), enthalpy (h), entropy (s), Gibbs free energy (g), internal partition function (Zint), and translational partition function (Ztr).

This field guide presents The Geneva Learning Foundation's Local Leadership Competency Framework: nine domains of adaptive, cognitive, and social capability that frontline health and humanitarian work…

This field guide presents The Geneva Learning Foundation's Local Leadership Competency Framework: nine domains of adaptive, cognitive, and social capability that frontline health and humanitarian workers draw on to solve complex problems, mobilize scarce resources, and build community trust.Grounded in ten years of listening to more than 80,000 frontline staff, and derived from the testimony of over 1,300 practitioners, the framework names a "missing curriculum" that standard clinical and compliance-focused competency models leave out. It defines local leadership not as a job title, but as a practice — one that nurses, community health workers, and district managers already carry out, often invisibly, as they navigate polycrises of climate, conflict, disease, and digital disruption.The framework sets out three proficiency levels — Operational Awareness, Contextual Adaptation, and Systemic Leadership — across nine domains, from adaptive leadership and critical reasoning to digital intelligence, climate health resilience, and networked learning. It is intended for three audiences: health and humanitarian workers, for self-assessment and mapping professional growth; policy makers and national planners, for updating workforce development systems; and organizations, for recruitment and support.The framework is offered as a structured synthesis of frontline practice, to be adapted to specific roles and contexts rather than applied as a fixed checklist — consistent with WHO guidance that competency frameworks are international reference sets for local tailoring. Limitations, including the self-selected nature of contributors and the need for future field validation, are stated explicitly.Version 1.0, 4 February 2026.

This comparative study investigates the structural, thematic, and linguistic organization of narrative motifs within Uzbek and English folktale traditions. Utilizing Vladimir Propp’s structural …

This comparative study investigates the structural, thematic, and linguistic organization of narrative motifs within Uzbek and English folktale traditions. Utilizing Vladimir Propp’s structural methodology outlined in Morphology of the Folktale, this research analyzes fifty traditional tales (twenty-five Uzbek pari/pahlavon narratives and twenty-five English fairy tales) to identify common plot archetypes, functional sequences, and language-specific mechanisms of expression. The findings demonstrate that while both traditions exhibit strong alignment with Propp’s thirty-one narrative functions—particularly initial lack, interdiction, departure, donor testing, and resolution—their linguistic realization reflects fundamental cultural and grammatical differences. Uzbek folktales rely heavily on agglutinative morphology, evidential verbs (-gan ekan), fixed formulaic opening/closing couplets, and Turkic epic motifs. Conversely, English folktales favor hypotactic sentence structures, temporal adverbial framing, and localized moralizing motifs. The study provides quantitative and qualitative evidence that narrative functions transcend linguistic boundaries, while morphosyntactic structures dictate the cognitive pace and stylistic delivery of folktale motifs.

Artifact accompanying the paper Testing Theorems, Fully Automatically. README inside.

This record contains CARDIAG: a benchmark for coronary artery SYNTAX segmentation and plenty other tasks (`CARDIAG.zip`). It consists of 644 data points, each of which provided with: original X-ray S…

This record contains CARDIAG: a benchmark for coronary artery SYNTAX segmentation and plenty other tasks (`CARDIAG.zip`). It consists of 644 data points, each of which provided with: original X-ray SYNTAX segments expert uncertainty masks catheter stenoses supplementary keyframes acquisition metadata including: primary angle secondary angle SID SOD imager pixel spacing (horizontal and vertical) extra metadata: medical center name (hashed) sample ID For more information on the acquisition of the data consult the attached study. We provide pretrained weights of the models discussed in the supplementary study in `models.zip` archive. We provide source code for processing the data and training models: https://github.com/cvlab-ai/cardiag-benchmark   NOTE: some medical centers have different names in data, therefore below we attach a mapping hash -> center ID: Site 1 101b1418aebdcce57689ef5a5e9d1781a1bb0275c7ef5244852d04b1a61beea2 299532f16d45f9e04a31b311a39d620cf4a958b8b56c51a6ca683ce21dced708 Site 2 46068363100ef9a99ab1d4af987c2a0bf9dcdee0f4a44596a17a8888ce4f6fc9 d04e8912730bd49fd176710ff630888e7f70906cd31f0f16a63e54d7c8076f7d a9f27c29b86cfa3e756b040a44bc2108be1b5cac48f4c2232b2f6f51ba46379d Site 3 938b824173e8cceef065c6338dfc9e7512abbcb1580192cb6b1a73787af4fc30 Site 4 77c5079fe210d5e0649500e3c844c4777f5c193c1397f0aab7b887fe4abf576a 7c38f06306e44c0cc87e6368fc0d77840193311ef8cd9e0694cf7ec5d924a1ed Site 5 8caa248386239d9c3733fbe46302767c36ffb38628ae94c9f583e12c92eb7b8b