Scientific Resource Catalog
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This revised article addresses Q0025, 'Design self-healing structural and functional materials?' using a question-specific mathematical construction rather than a generic logarithmic template. The proposed model, termed the Damage-Recovery Cycle Model, uses damage metric D_n, recovered property P_r…
ABSTRACT --------------------------------------------------------- Folded ribbon knots in the sense of Denne are immersions of an abstract annulus or Moebius band; the model has no seams and a single layer. A physical ribbon tied, folded, threaded and glued has both. We develop the missing bookkeep…
Abstract Microbubble-enhanced focused ultrasound (MB-FUS) enables noninvasive blood-brain barrier (BBB) opening to improve the delivery of drugs and other therapeutics to the brain, supporting more effective treatment of brain disorders. The benefits of this rapidly advancing and highly versatile t…
Abstract The reliable electrochemical detection of immunoglobulin G (IgG) in complex biological fluids is severely hampered by nonspecific protein fouling and enzymatic degradation. Inspired by natural lasso peptides, we engineer a multifunctional lasso-like peptide (LaP) composed entirely of D-ami…
The closest point on a circular helix to a query point---a primitive of track fitting, computer-aided design, and robotics---reduces exactly to Kepler's equation \( u+e\sin u=M \), whose eccentricity \( e=a\rho/b^{2} \) can be arbitrarily large. We determine the complete solution structure of this…
RKMS / COR RC 0.1.1 is a recoverable technical handoff of a typed relational architecture, executable semantic checker (COR-IR), relational-search/candidate-generation bridge, relational navigation loop, provenance machinery, frozen tests, preserved failures, reproduction scripts, historical develo…
This theory describes how a two-faced one-dimensional structure evolvesunder three principles—minimal process, maximal freedom, and minimalclosure—and mechanically reaches the regular dodecahedron. A sequence ofnecessary transitions, including 1D overlap, tetrahedral orientation,eight-face expansio…
Drying is widely used to stabilize foods, but long processing times and thermal exposure increase energy demand and can impair color, texture, nutrients, and flavor. Cold plasma (CP) pretreatment has attracted interest as a nonthermal strategy for accelerating moisture removal while maintaining pro…
This paper develops a revised mathematical solution framework for the chemistry challenge "Can enzymes or engineered microbes depolymerize major commodity plastics rapidly outside tightly controlled laboratory conditions?". The proposed Polymer-Class Biocatalytic Accessibility Model (PCBAM) was con…
Figure 1. Intergrown microscopic zunyite crystals sparsely encrusted with pyrite, 5-mm field of view, Zuni mine. Arnold Hampson specimen in the Mines Museum of Earth Science, Golden, Colorado, Dan ...
This publication establishes a closed, rigorous operator-theoretic framework and proof pipeline for the Riemann Hypothesis, synthesizing Appendices 1.1, 1.2, 1.3, Appendix 2, and the master integration Appendix 3. We construct an arithmetic-topological operator $\mathbf{\hat{A}}_{7D}$ acting on the…
Embedded memory dielectrics face two families of material-level bottlenecks whose microscopic origins are phase transitions: ferroelectric (FE)/antiferroelectric (AFE) HfO2-based memory suffers wake-up/fatigue from electric-field-induced phase transitions among Pca21/P42/nmc/Pbca; phase-change memo…
ABSTRACT --------------------------------------------------------- Folded ribbon knots in the sense of Denne are immersions of an abstract annulus or Moebius band; the model has no seams and a single layer. A physical ribbon tied, folded, threaded and glued has both. We develop the missing bookkeep…
FINDING: Fibonacci numbers as frequency ratios produce a non-octave, inharmonic spectrum that diverges from the harmonic series, yet exhibits golden-ratio spacing between successive partials. MATH: - Fibonacci sequence: F_n = F_{n-1} + F_{n-2}, with F_1=1, F_2=1. - Frequency ratios in Hertz: 89, 14…
Journal of Applied Mathematics and Computational Mechanics, Prace Naukowe Instytutu Matematyki i Informatyki, Politechnika Częstochowska, Scientific Research of the Institute of Mathematics and Computer Science, Czestochowa University of Technology
Microplastics (MPs) are increasingly detected in aquatic environments, yet evidence from groundwater, especially in hyper-arid regions remains limited. This study quantified and characterized MPs in shallow groundwater from 10 wells in Al-Qatif, Eastern Province, Saudi Arabia, using triplicate 1-L…
This paper presents a novel approach to skin, blood, and breast cancer detection using a penta-band Terahertz (THz) metamaterial absorber and deep learning. The proposed absorber, designed on a Gallium Arsenide substrate, exhibits high absorption peaks of 99.37%, 99.11%, 99.25%, 91.95%, and 99.37%…
Abstract The integration of synthetic DNA receptors with metal–organic framework (MOF)-derived materials to construct synchronous dual-mode biosensors remains a challenging yet underexplored frontier. Herein, we report a novel DNA artificial mechanoreceptor (DAMR) engineered to enable synchronous f…
Abstract This article presents a detailed study of the structural, tribo-mechanical properties of an innovate [TiC/TiSiCN] multilayer coating. Structural results showed that the TiSiCN layer has a nanocomposite structure, with nanocrystals (nc-TiSiCN) embedded in an amorphous matrix (a-SiCN), which…
Manual potato mashing is still limited in terms of efficiency and production capacity. This study aims to validate the performance of a 10 kg/h potato mashing machine using SolidWorks Simulation and experimental testing. The simulation analyzed the machine frame, main shaft, pestle pulley, and pest…