A Spectral Construction of Natural-Number Arithmetic
October, 2026 • Preprint
Guo, Jinku
We construct an ordered Peano semiring whose modes retain the Gaussian correlation flow from which they are obtained. Minimal real orthogonal change selects a rotation plane, and independent compositi…
We construct an ordered Peano semiring whose modes retain the Gaussian correlation flow from which they are obtained. Minimal real orthogonal change selects a rotation plane, and independent composition, exact square-root self-similarity, and unit covariance determine a Gaussian tangent law. Specified endpoint and reflecting-closure rules give a finite interval with an ordered Neumann spectrum. On the oriented circle lifts of its modes, pointwise modulation and map composition define addition and multiplication. Winding degree identifies the resulting arithmetic with the natural numbers. The same construction supplies quadratic energies and a decomposition complex, and we prove their compatibility under changes of scale and orientation. Internal Euclidean division gives unique factorization. Prime modes are the generators of the augmentation cotangent space and the degree-one harmonic modes of the decomposition complex. The associated Hodge operator has an explicit positive spectral gap, which gives heat and resolvent approximations to the prime projection. Symmetric and exterior occupations realize the same prime family and carry both the quadratic correlation energy and the logarithmic arithmetic energy. These structures yield trace identities and counting arguments for the generated prime sector.
Natural number objects; Circle endomorphisms; Gaussian semigroups; Prime factorization; Fock spaces; Hodge decomposition; Arithmetic quantum statistical mechanics
European Public Listed Airlines Annual and Sustainability Reports 2025
June, 2026 • Dataset
MARTIN-DOMINGO, Luis
These are the annual reports of 16 public European airline groups, collected from the investor relations pages of their respective websites. Sustainability reports are usually included within the annu…
These are the annual reports of 16 public European airline groups, collected from the investor relations pages of their respective websites. Sustainability reports are usually included within the annual report, but occasionally, a separate document was identified and added to this collection.
Using Neighborhood Data in Aging Research: The National Neighborhood Data Archive (NaNDA). Workshop Materials, GSA Annual Scientific Meeting Online Workshop Series 2026
Materials from the two-hour virtual workshop Using Neighborhood Data in Aging Research: The National Neighborhood Data Archive (NaNDA), presented October 7, 2026 as part of the GSA Annual Scientific M…
Materials from the two-hour virtual workshop Using Neighborhood Data in Aging Research: The National Neighborhood Data Archive (NaNDA), presented October 7, 2026 as part of the GSA Annual Scientific Meeting Online Workshop Series 2026.The National Neighborhood Data Archive (NaNDA) is a federally funded open data repository at the University of Michigan Institute for Social Research that publishes neighborhood-level measures of the social, economic, and built environment through ICPSR. The workshop introduces NaNDA, walks through examples of its use in gerontological research, and offers two parallel breakout tracks: a beginner track on choosing a first NaNDA dataset (geographies, time periods, and dataset selection) and an intermediate track on linking NaNDA measures to participant data.This record contains the presentation slides for the full-group sessions and the beginner breakout (web page, PowerPoint, and PDF for each), the beginner participant handout, and supporting tools. Speaker notes are not included. The intermediate breakout materials (practice data and sample merge code) are published separately at https://the-national-neighborhood-data-archive.github.io/GSA_Intermediate_2026/.Presenters: Philippa Clarke, Lindsay Gypin, William Clary, Robert Melendez, and Grace Noppert, University of Michigan.
National Neighborhood Data ArchiveNaNDAneighborhood dataaging researchgerontology
D4.1 – META BUILD Digital Twin, data-driven services & apps for smart energy management, 1st version
March, 2026 • Project deliverable
European Dynamics (Greece)
The META BUILD project aims to accelerate the decarbonisation of Europe's building sector through an innovative combination of digital technologies, renewable energy solutions, and advanced energ…
The META BUILD project aims to accelerate the decarbonisation of Europe's building sector through an innovative combination of digital technologies, renewable energy solutions, and advanced energy management strategies. With a clear vision for promoting sustainability and energy efficiency, this initiative integrates state-of-the-art heat pump systems, photovoltaic-thermal technologies, and second-life battery storage solutions, emphasizing not only technology advancement but also scalability and replicability in diverse building contexts.
|TITLE: THE ROLE OF CRITICAL THINKING SKILLS IN THE CURRICULUM: A COMPARATIVE CASE STUDY OF CENTRAL ASIA AND FINLAND
October, 2026 • Dataset • HSR (London), Houghton Street Review
Barchinoy Zoyirova Zoyir Qizi, Worldly Knowledge Publishing Centre
Critical thinking skills play a crucial role in the development of individuals' abilities to analyze, evaluate, and interpret information effectively. These skills enable individuals…
Critical thinking skills play a crucial role in the development of individuals' abilities to analyze, evaluate, and interpret information effectively. These skills enable individuals to make logical and informed decisions, solve problems creatively, and recognize biases and fallacies. Given the rapidly changing global context, where access to vast amounts of information is readily available, the inclusion of critical thinking skills in educational curricula is of paramount importance. This case study aims to compare and contrast the role of critical thinking skills in the educational curricula of Central Asian countries and Finland. Central Asia is a region comprising Kazakhstan, Kyrgyzstan, Tajikistan, Turkmenistan, and Uzbekistan - all of which have unique educational systems influenced by their cultural and historical backgrounds. On the other hand, Finland is widely regarded as a leading nation in education, known for its innovative teaching methods and emphasis on critical thinking and problem-solving skills.
Oxytocin and Vasopressin Immunoreactivity Differs Across Auditory Brainstem Nuclei in Rodents with Distinct Social Systems
December, 2026 • Dataset
Joseph, Luberson, Boren, Lucas, Ingram, Grace, McCullagh, Elizabeth
Image files that were analyzed for publication:
Oxytocin and Vasopressin Immunoreactivity Differs Across Auditory Brainstem Nuclei in Rodents with Distinct Social Systems
There is an increasing interest in upgrading the EModel, a parametric tool for speech quality estimation, to the wideband and super-wideband contexts. The
Contemporary models of Unmanned Aerial Vehicles (UAVs) are largely developed using simulators. In a typical scheme, a flight simulator is dovetailed with a
Undertaking engineering research can be compounding for beginning graduate students and thwarting even for seasoned researchers. With a wealth of academic
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