Fraction (chemistry)
View article: Square Root of Natural Numbers as an infinite Staircase of Continued Fractions
Square Root of Natural Numbers as an infinite Staircase of Continued Fractions Open
When one lists the continued fractions of √ n across the natural numbers, a striking regularity appears: the coefficients rise in discrete steps, forming an arithmetical and visual staircase. This article reveals the algebraic and geometri…
View article: High Hydrostatic Pressure Pretreatments Regulating Drying Characteristics, Texture Quality, and Pectin Fractions Content of Yam Slices
High Hydrostatic Pressure Pretreatments Regulating Drying Characteristics, Texture Quality, and Pectin Fractions Content of Yam Slices Open
In order to investigate the effects of high hydrostatic pressure (HHP) pretreatments on the drying characteristics and qualities of yam slices, HHP (100~600 MPa) pretreatments were employed prior to drying process. The drying characteristi…
View article: MRI Phantom Scans: Calimetrix Fat Fraction Phantom Model 300
MRI Phantom Scans: Calimetrix Fat Fraction Phantom Model 300 Open
This dataset contains several MRIs of a Calimetrix Fat Fraction Phantom Model 300. It is intended to aid in testing the code of the software package mrmuscle. The structure of this archive includes a zip from which organized folders can be…
View article: MRI Phantom Scans: Calimetrix Fat Fraction Phantom Model 300
MRI Phantom Scans: Calimetrix Fat Fraction Phantom Model 300 Open
This dataset contains several MRIs of a Calimetrix Fat Fraction Phantom Model 300. It is intended to aid in testing the code of the software package mrmuscle. The structure of this archive includes a zip from which organized folders can be…
View article: MAD-DAG: Protecting Blockchain Consensus from MEV
MAD-DAG: Protecting Blockchain Consensus from MEV Open
Blockchain security is threatened by selfish mining, where a miner (operator) deviates from the protocol to increase their revenue. Selfish mining is exacerbated by adverse conditions: rushing (network propagation advantage for the selfish…
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: The Electron Shuttle Critical Distance of Low Molecular Weight Organic Matters Accelerating Microbial Ferrihydrite Reduction
The Electron Shuttle Critical Distance of Low Molecular Weight Organic Matters Accelerating Microbial Ferrihydrite Reduction Open
The redox activity of natural organic matter (NOM) is crucial for contaminants transformation in soils. Soil micropores (<2.5 nm) have limited accessibility for microorganisms and large NOM molecules; therefore, insoluble organic pollutant…
View article: Quest for a Coherent Definition of Weak-line Quasars and Its Physical Implications
Quest for a Coherent Definition of Weak-line Quasars and Its Physical Implications Open
Weak-line quasars (WLQs) represent a subset of type 1 quasars distinguished by remarkably weak high-ionization broad emission lines, yet exhibiting normal optical/UV continua. This study establishes a physically motivated definition of WLQ…
View article: Valorization of Brewer’s Spent Grain Liquid Fraction for the Development of a Pasteurized Strawberry-Based Blend Juice
Valorization of Brewer’s Spent Grain Liquid Fraction for the Development of a Pasteurized Strawberry-Based Blend Juice Open
Brewer’s spent grain (BSG) is a high-moisture (70–80%) by-product of the brewing industry. During dewatering, it yields a liquid fraction that can be combined with strawberry pulp (SP) to create a new food product. This study evaluated the…
View article: Paper 49G: From Non–Circular Transport Thresholds to the Fine–Structure Constant A Holosphere/Percolation Derivation and Empirical Calibration
Paper 49G: From Non–Circular Transport Thresholds to the Fine–Structure Constant A Holosphere/Percolation Derivation and Empirical Calibration Open
We present a two-stage, code-complete route from classical transport thresholds to a calibrated estimate of the fine-structure constant. Stage (i) infers an operational angular micro-floor, (2α)^ang\widehat{(2\alpha)}_{\mathrm{ang}}(2α)ang…
View article: Counterfactual Loom v1: Universal Collapse Knot Families Across Finance, Crypto, and Seismic Systems
Counterfactual Loom v1: Universal Collapse Knot Families Across Finance, Crypto, and Seismic Systems Open
This record contains the first experimental implementation of the CNT Counterfactual Loom (CFL), a Cognitive Nexus Theory (CNT) module for quantifying “near-miss futures” around real-world events. In CFL, each historical w…
View article: Raman-Validated Macromolecular Model of SG Coking Coal: ESP–FMO Mapping Unravels Site-Selective Oxidation in Combustion
Raman-Validated Macromolecular Model of SG Coking Coal: ESP–FMO Mapping Unravels Site-Selective Oxidation in Combustion Open
Based on comprehensive experimental datasets—proximate/ultimate analyses, XPS, solid-state 13C NMR, and Raman spectroscopy—we constructed and optimized a compositionally faithful macromolecular model of SG coking coal. Using density-functi…
View article: SPHINX20 SiII spectra and escape fraction data
SPHINX20 SiII spectra and escape fraction data Open
This dataset provides synthetic rest-frame UV spectra and galaxy properties from the SPHINX20 cosmological radiation-hydrodynamics simulation for galaxies at redshift z ≥ 4.64. It includes: Low-ionization absorption line spectra for each g…
View article: Metal Foam and Nanoparticles Reinforced PCM for Electronic Components Thermal Management
Metal Foam and Nanoparticles Reinforced PCM for Electronic Components Thermal Management Open
This paper presents a numerical study on the passive cooling of an electronic component inside a rectangular enclosure filled with phase change material (PCM). The electronic component is centrally located on a substrate and generates volu…
View article: Counterfactual Loom v1: Universal Collapse Knot Families Across Finance, Crypto, and Seismic Systems
Counterfactual Loom v1: Universal Collapse Knot Families Across Finance, Crypto, and Seismic Systems Open
This record contains the first experimental implementation of the CNT Counterfactual Loom (CFL), a Cognitive Nexus Theory (CNT) module for quantifying “near-miss futures” around real-world events. In CFL, each historical window of a system…
View article: Algorithmic Signatures of Primes in Continued Fraction Expansions
Algorithmic Signatures of Primes in Continued Fraction Expansions Open
This paper explores the intriguing intersection of prime numbers and continued fraction expansions, seeking to identify "algorithmic signatures" that differentiate primes from composite numbers or reveal underlying structural properties un…
View article: Supplementary Figure S10 from Elucidating the Genetic Landscape of Oral Leukoplakia to Predict Malignant Transformation
Supplementary Figure S10 from Elucidating the Genetic Landscape of Oral Leukoplakia to Predict Malignant Transformation Open
Overview of Kaplan-Meier curves for several investigated genetic markers in 89 OL samples. On the y-axis the fraction remaining free of malignant transformation over time is shown. The x-axis shows the time in years. The table below the fi…
View article: Pengaruh Penambahan EM4 dalam Fermentasi Solid Kelapa Sawit terhadap Kualitas Nutrisi Bahan Pakan
Pengaruh Penambahan EM4 dalam Fermentasi Solid Kelapa Sawit terhadap Kualitas Nutrisi Bahan Pakan Open
This study aims to evaluate the effect of the addition of Effective Microorganisms-4 (EM4) on changes in the proximate composition of palm oil solids during the fermentation process. The study design used EM4 treatments with different conc…
View article: Three New Acylated Glycosidic Acid Methyl Esters from the Crude Resin Glycoside Fraction of <i>Ipomoea lacunosa</i> Seeds by Treatment with Indium(III) Chloride in Methanol
Three New Acylated Glycosidic Acid Methyl Esters from the Crude Resin Glycoside Fraction of <i>Ipomoea lacunosa</i> Seeds by Treatment with Indium(III) Chloride in Methanol Open
View article: A Surrogate-Informed Framework for Sparse Grid Interpolation
A Surrogate-Informed Framework for Sparse Grid Interpolation Open
Approximating complex, high-dimensional, and computationally expensive functions is a central problem in science and engineering. Standard sparse grids offer a powerful solution by mitigating the curse of dimensionality compared to full te…
View article: The Transparent Egyptian Fraction Theorem (2025 Edition)
The Transparent Egyptian Fraction Theorem (2025 Edition) Open
This work presents a fully transparent, minimal, and rigorously elementary proof of the classical Egyptian Fraction Theorem: every rational number (0 < a/b < 1) can be expressed as a finite sum of distinct unit fractions. Although the theo…
View article: A Surrogate-Informed Framework for Sparse Grid Interpolation
A Surrogate-Informed Framework for Sparse Grid Interpolation Open
Approximating complex, high-dimensional, and computationally expensive functions is a central problem in science and engineering. Standard sparse grids offer a powerful solution by mitigating the curse of dimensionality compared to full te…
View article: Algorithmic Signatures of Primes in Continued Fraction Expansions
Algorithmic Signatures of Primes in Continued Fraction Expansions Open
This paper explores the intriguing intersection of prime numbers and continued fraction expansions, seeking to identify "algorithmic signatures" that differentiate primes from composite numbers or reveal underlying structural properties un…
View article: PENINGKATAN PEMAHAMAN KONSEP PECAHAN MELALUI WORDWALL PADA SISWA KELAS 3 SDIT INSAN CENDEKIA KRIAN SIDOARJO
PENINGKATAN PEMAHAMAN KONSEP PECAHAN MELALUI WORDWALL PADA SISWA KELAS 3 SDIT INSAN CENDEKIA KRIAN SIDOARJO Open
This research is for evaluate the improvement in academic performance of third-grade students at SDIT Insan Cendekia, Krian, Sidoarjo, by utilizing the interactive application Wordwall Open the Box in mathematics, focusing on fraction conc…
View article: Supplementary Figure S10 from Early On-treatment Changes in Circulating Tumor DNA Fraction and Response to Enzalutamide or Abiraterone in Metastatic Castration-Resistant Prostate Cancer
Supplementary Figure S10 from Early On-treatment Changes in Circulating Tumor DNA Fraction and Response to Enzalutamide or Abiraterone in Metastatic Castration-Resistant Prostate Cancer Open
Changes in ctDNA fraction and PSA levels between baseline and 4 weeks on-treatment in relation to the durability of response
View article: Tight Margin-Based Generalization Bounds for Voting Classifiers over Finite Hypothesis Sets
Tight Margin-Based Generalization Bounds for Voting Classifiers over Finite Hypothesis Sets Open
We prove the first margin-based generalization bound for voting classifiers, that is asymptotically tight in the tradeoff between the size of the hypothesis set, the margin, the fraction of training points with the given margin, the number…
View article: Chemical Speciation, Bioavailability and Multi-Index Assessment of Heavy Metal Contamination in Dumpsite-Affected Farmland Soils of Anyigba, Nigeria
Chemical Speciation, Bioavailability and Multi-Index Assessment of Heavy Metal Contamination in Dumpsite-Affected Farmland Soils of Anyigba, Nigeria Open
This study assessed the physicochemical properties, chemical speciation, and ecological risk of heavy metals in farmland soils near municipal dumpsites in Anyigba, Nigeria. The soils were slightly acidic (pH 5.2–6.4), with moderate organic…
View article: Part I: REEs recovered from multiple AMDs with assistance of precipitated MnO2 and in the presence and absence of P-bearing ligands
Part I: REEs recovered from multiple AMDs with assistance of precipitated MnO2 and in the presence and absence of P-bearing ligands Open
Elevated concentrations of critical metals (CM) in acid mine drainage (AMD) have been the subject of many studies due to high demand that is only expected to grow. Some, like rare earth elements (REEs) and Co are an essential component to …
View article: Supplementary Table S3 from Early On-treatment Changes in Circulating Tumor DNA Fraction and Response to Enzalutamide or Abiraterone in Metastatic Castration-Resistant Prostate Cancer
Supplementary Table S3 from Early On-treatment Changes in Circulating Tumor DNA Fraction and Response to Enzalutamide or Abiraterone in Metastatic Castration-Resistant Prostate Cancer Open
Multivariable Cox proportional hazards models for time to progression and time to death
View article: Supplementary Table S2 from Early On-treatment Changes in Circulating Tumor DNA Fraction and Response to Enzalutamide or Abiraterone in Metastatic Castration-Resistant Prostate Cancer
Supplementary Table S2 from Early On-treatment Changes in Circulating Tumor DNA Fraction and Response to Enzalutamide or Abiraterone in Metastatic Castration-Resistant Prostate Cancer Open
Evidence for ctDNA estimates per patient per timepoint