Sieve (category theory)
View article: Effect of soft soil on the engineering properties of sandy soil
Effect of soft soil on the engineering properties of sandy soil Open
Improving the geotechnical properties of soil remains one of the primary challenges in the field of geotechnical engineering, particularly when designing structural foundations on sandy soils, which often exhibit low bearing capacity and l…
View article: The Goldbach Conjecture--A Deterministic Spectral-Operator Proof Beyond Sieve Theory: Where i) Herglotz Positivity, ii) Carleman Uniqueness, and iii) Paley-Wiener Confinement Demonstrate That Randomness Is Not Intrinsic (Submitted for Peer Review)
The Goldbach Conjecture--A Deterministic Spectral-Operator Proof Beyond Sieve Theory: Where i) Herglotz Positivity, ii) Carleman Uniqueness, and iii) Paley-Wiener Confinement Demonstrate That Randomness Is Not Intrinsic (Submitted for Peer Review) Open
The Goldbach Conjecture A Deterministic Spectral–Operator Proof Beyond Sieve Theory: Where i) Herglotz Positivity, ii) Carleman Uniqueness, and iii) Paley–Wiener Confinement Demonstrate That Randomness Is Not Intrinsic. This work is a trea…
View article: A Geometric Hypothesis for Primality: The 4D Torus Sieve Governed by Riemann Zeta Function Zeros
A Geometric Hypothesis for Primality: The 4D Torus Sieve Governed by Riemann Zeta Function Zeros Open
Description (Abstract) We propose a novel framework for analyzing the distribution of prime numbers by relocating the problem from the linear number line to a 4-Dimensional Toroidal Sieve (\mathbb{T}^4). This sieve maps integers n to a uni…
View article: A Geometric Hypothesis for Primality: The 4D Torus Sieve Governed by Riemann Zeta Function Zeros
A Geometric Hypothesis for Primality: The 4D Torus Sieve Governed by Riemann Zeta Function Zeros Open
Description (Abstract) We propose a novel framework for analyzing the distribution of prime numbers by relocating the problem from the linear number line to a 4-Dimensional Toroidal Sieve (\mathbb{T}^4). This sieve maps integers n to a uni…
View article: The Goldbach Conjecture--A Deterministic Spectral-Operator Proof Beyond Sieve Theory: Where i) Herglotz Positivity, ii) Carleman Uniqueness, and iii) Paley-Wiener Confinement Demonstrate That Randomness Is Not Intrinsic (Submitted for Peer Review)
The Goldbach Conjecture--A Deterministic Spectral-Operator Proof Beyond Sieve Theory: Where i) Herglotz Positivity, ii) Carleman Uniqueness, and iii) Paley-Wiener Confinement Demonstrate That Randomness Is Not Intrinsic (Submitted for Peer Review) Open
The Goldbach Conjecture A Deterministic Spectral–Operator Proof Beyond Sieve Theory: Where i) Herglotz Positivity, ii) Carleman Uniqueness, and iii) Paley–Wiener Confinement Demonstrate That Randomness Is Not Intrinsic…
View article: Влияние параметров центробежного обрушивания семян рапса на фракционный и компонентный составы рушанки
Влияние параметров центробежного обрушивания семян рапса на фракционный и компонентный составы рушанки Open
На промышленной центробежной рушке (ЦБР) марки МРЦ-5 в стендовых условиях изучен процесс обрушивания семян рапса, выращенного в Калужской, Орловской и Тамбовской областях. Для минимального замасливания плодовой оболочки обрушивание осущест…
View article: OD-28: Benchmark vs Exact Sieve (Validation for 10² ≤ x ≤ 10⁷)
OD-28: Benchmark vs Exact Sieve (Validation for 10² ≤ x ≤ 10⁷) Open
English This dataset contains the initial numerical validation of the OD-28 estimator for the prime-counting function π(x), tested against exact values computed with a classical Sieve of Eratosthenes for x in the range 10²…10⁷. Included fi…
View article: Geometric Index Sieve (SEMT): A Novel Deterministic Approach to Factoring Large Integers and its High-Efficiency Parallel Implementation
Geometric Index Sieve (SEMT): A Novel Deterministic Approach to Factoring Large Integers and its High-Efficiency Parallel Implementation Open
The security of the RSA cryptosystem relies fundamentally on the presumed intractability of the Integer Factorization Problem (IFP). Current classical solutions, notably the General Number Field Sieve (GNFS), operate with a sub-exponential…
View article: Geometric Index Sieve (SEMT): A Novel Deterministic Approach to Factoring Large Integers and its High-Efficiency Parallel Implementation
Geometric Index Sieve (SEMT): A Novel Deterministic Approach to Factoring Large Integers and its High-Efficiency Parallel Implementation Open
The security of the RSA cryptosystem relies fundamentally on the presumed intractability of the Integer Factorization Problem (IFP). Current classical solutions, notably the General Number Field Sieve (GNFS), operate with a sub-exponential…
View article: OD-28: Benchmark vs Exact Sieve (Validation for 10² ≤ x ≤ 10⁷)
OD-28: Benchmark vs Exact Sieve (Validation for 10² ≤ x ≤ 10⁷) Open
English This dataset contains the initial numerical validation of the OD-28 estimator for the prime-counting function π(x), tested against exact values computed with a classical Sieve of Eratosthenes for x in the range 10²…
View article: A Unified Approach to Goldbach and Waring via Quantitative Schnirelmann Density
A Unified Approach to Goldbach and Waring via Quantitative Schnirelmann Density Open
This paper explores a novel unified framework for addressing two of additive number theory's most celebrated and challenging problems: Goldbach's Conjecture and Waring's Problem. Both conjectures deal with the representation of integers as…
View article: A Generalized Additive Partial-Mastery Cognitive Diagnosis Model
A Generalized Additive Partial-Mastery Cognitive Diagnosis Model Open
Cognitive diagnosis models (CDMs) are restricted latent class models widely used for measuring attributes of interest in diagnostic assessments in education, psychology, biomedical sciences, and related fields. Partial-mastery CDMs (PM-CDM…
View article: A Generalized Additive Partial-Mastery Cognitive Diagnosis Model
A Generalized Additive Partial-Mastery Cognitive Diagnosis Model Open
Cognitive diagnosis models (CDMs) are restricted latent class models widely used for measuring attributes of interest in diagnostic assessments in education, psychology, biomedical sciences, and related fields. Partial-mastery CDMs (PM-CDM…
View article: Risks of Spruce Wood Dust in the Work Environment
Risks of Spruce Wood Dust in the Work Environment Open
This study investigated spruce wood (Picea abies Karst. L.) dust generated during sanding in a woodworking company, focusing on its health, explosion, and fire hazards. Microscopic analyses revealed that dust particles ranged from 2.38 μm …
View article: A Unified Approach to Goldbach and Waring via Quantitative Schnirelmann Density
A Unified Approach to Goldbach and Waring via Quantitative Schnirelmann Density Open
This paper explores a novel unified framework for addressing two of additive number theory's most celebrated and challenging problems: Goldbach's Conjecture and Waring's Problem. Both conjectures deal with the representation of integers as…
View article: Gold Grain Size Assessment and Optimization of Sluice Box Angle to Improve Recovery on Artisanal and Small-Scale Mining in Arero Woreda, Southern Ethiopia
Gold Grain Size Assessment and Optimization of Sluice Box Angle to Improve Recovery on Artisanal and Small-Scale Mining in Arero Woreda, Southern Ethiopia Open
Sluice box washing continues to face operational limitations arising from inconsistent water velocity and the need to tailor slope designs to varying particle sizes. These interrelated factors significantly diminish recovery efficiency, th…
View article: Geotechnical Enhancement of Subgrade Soils Using Recycled Polymeric Waste
Geotechnical Enhancement of Subgrade Soils Using Recycled Polymeric Waste Open
Expansive soils such as black cotton soil pose significant challenges in civil engineering works due to their high swelling and shrinkage potential, low bearing capacity, and poor stability under varying moisture conditions. To overcome th…
View article: The Parity Gap: A Structural Heuristic for Goldbach's Binary Problem
The Parity Gap: A Structural Heuristic for Goldbach's Binary Problem Open
We introduce a structural comparison between two quantities associated with an even integer 2k: the volume, derived from the logarithmic size of all complements 2k − r with r prime, and the capacity, derived from the cumulative p-adic cont…
View article: Python source code for hierarchical GM sieve
Python source code for hierarchical GM sieve Open
This repository contains the Python source code used in the paper “Hierarchical GM Sieve for Efficient Prime Filtering”.The script implements the proposed three-layer hierarchical arithmetic-sequence filtering method, incl…
View article: Python source code for hierarchical GM sieve
Python source code for hierarchical GM sieve Open
This repository contains the Python source code used in the paper “Hierarchical GM Sieve for Efficient Prime Filtering”.The script implements the proposed three-layer hierarchical arithmetic-sequence filtering method, including: GM-(n+1) s…
View article: Experimental Investigation of Soil Properties for Construction in Shimla Region
Experimental Investigation of Soil Properties for Construction in Shimla Region Open
In the current investigation, the soil sample was taken from Totu Shimla, Himachal Pradesh, India (erstwhile summer capital of British India). Initially, the index properties of the soil were examined using water content, Specific gravity,…
View article: Iron deficiency changes regulatory mechanisms governing sieve element cell differentiation
Iron deficiency changes regulatory mechanisms governing sieve element cell differentiation Open
Plant cell differentiation incorporates environmental cues over time to optimize overall growth. Iron deficiency influences development, such as root hair, cortical, and endodermal cell differentiation. However, the mechanisms by which iro…
View article: RQV-QS: GPU-Accelerated Quadratic Sieve Factorizer
RQV-QS: GPU-Accelerated Quadratic Sieve Factorizer Open
🚀 Initial Release RQV-QS is a Proof-of-Concept implementation of the Quadratic Sieve algorithm accelerated by the RQV Cache-Sieve engine. Features Dual-Pass GPU Pipeline: Logarithmic Sieving (Shared Memor…
View article: Route D: A Lean 4 Formalization of Bounded Prime Gaps under BV-lite
Route D: A Lean 4 Formalization of Bounded Prime Gaps under BV-lite Open
Route D is a standalone Lean 4 formalization that proves a conditional bounded prime gaps theorem.Under a single black-box analytic hypothesis (BV-lite), the development establishes the existence of two di…
View article: RQV-QS: GPU-Accelerated Quadratic Sieve Factorizer
RQV-QS: GPU-Accelerated Quadratic Sieve Factorizer Open
🚀 Initial Release RQV-QS is a Proof-of-Concept implementation of the Quadratic Sieve algorithm accelerated by the RQV Cache-Sieve engine. Features Dual-Pass GPU Pipeline: Logarithmic Sieving (Shared Memory) Trial Division (128-bit Arithmet…
View article: Hydrological, geotechnical, and landslide mapping data from the Columbia River Gorge, Oregon to support physics-based modeling of postfire shallow landslides
Hydrological, geotechnical, and landslide mapping data from the Columbia River Gorge, Oregon to support physics-based modeling of postfire shallow landslides Open
This data release contains (1) geotechnical reports describing colluvium strength and grain size distribution, (2) hydrological monitoring data (rainfall and soil volumetric water content), and (3) shapefiles of mapped landslides, all from…
View article: On formulating infinite sieve and its application: The proof of Goldbach's conjecture and twin prime conjecture
On formulating infinite sieve and its application: The proof of Goldbach's conjecture and twin prime conjecture Open
The central challenge in proving both Goldbach’s conjecture and the twin prime conjecture lies in determining whether these conjectures remain valid as the upper bound of the considered set of integers tends to infinity. …
View article: On formulating infinite sieve and its application: The proof of Goldbach's conjecture and twin prime conjecture
On formulating infinite sieve and its application: The proof of Goldbach's conjecture and twin prime conjecture Open
The central challenge in proving both Goldbach’s conjecture and the twin prime conjecture lies in determining whether these conjectures remain valid as the upper bound of the considered set of integers tends to infinity. In other words, th…
View article: Rancang Bangun Mesin Pengayak Pasir Semi Otomatis
Rancang Bangun Mesin Pengayak Pasir Semi Otomatis Open
The sand sieving process is an activity that we often encounter in infrastructure development projects. But in the case of observations, problems are often encountered where workers still rely on simple or manual equipment. Based on the ob…
View article: The influence of particle size and polyester content on rheological properties and enzymatic hydrolysis of knife-milled polycotton textile waste
The influence of particle size and polyester content on rheological properties and enzymatic hydrolysis of knife-milled polycotton textile waste Open
While textile production increases annually, <1 % enter closed-loop recycling. Current recycling technologies require pure input streams, necessitating separation of blended fabrics. Enzymatic hydrolysis of cotton from polyester-cotton ble…