Materials Literature
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Real-time noncontact temperature detection is critical for the reliable operation of specialized robots in extreme thermodynamic environments. Upconversion (UC) luminescent materials, owing to their temperature-sensitive emission, offer a promising solution. However, traditional UC crystals are fundamentally limited b…
The concept of repetition is a cornerstone of mathematics, appearing in combinatorics, group theory, fractal geometry, and category theory. Traditional studies focus on periodicity, yet many structures exhibit repetition without strict periodicity. This paper introduces a formal framework for measuring how a single re…
تحلیل بنیادین، بازنویسی تانسوری و اثبات جامع معمای شماره ۱ از ۳۰ (سری جدید: نیروی هستهای ضعیف): «مسئله سلسلهمراتب (The Hierarchy Problem) و پارادوکس تنظیم ظریف و سیستم هماهنگسازی مقیاس انرژی در منیفولد ۱۱۵۵ بعدی»؛ مبنی بر اینکه «اختلاف نجومی ۱۴ مرتبه بزرگی میان مقیاس الکتروضعیف ($\sim 100 \text{ GeV}$) و مقیاس پلان…
Abstract Proton-conducting reversible solid oxide cells (P-RSOCs) are emerging as a transformative platform for efficient and flexible conversion between electricity and chemical fuels, including hydrogen and syngas. Their intermediate-temperature operation (400–600 °C) offers a compelling combination of high energy e…
ANTIBACTERIAL EFFECTIVENESS OF SELECTED SEED EXTRACTS AND GREEN-SYNTHESIZED MAGNESIUM OXIDE NANOPARTICLES IN CONTAMINATED-WATER TREATMENT IORNUMBE, S. M., 1 1Department of Environmental Science, Joseph Sarwuan Tarka University, Makurdi, Benue State, Nigeria. Corresponding email: Contact: Abstract Bacterial contaminati…
This manuscript introduces the concept of Mathematical Structural Temperature (MST) as a quantitative measure of the exchangeability of legal configurations within a mathematical structure. MST is denoted by T_str(X) for a structure X and is defined through an axiomatic framework that captures the combinatorial richne…
This paper explores the concept of computational plasticity, focusing on the development and analysis of algorithms designed to mimic and potentially surpass the adaptive capabilities observed in biological systems. The core premise is that complex adaptive behaviors, particularly those associated with recovery from d…
This paper investigates the emergence of algorithmic topological defects within deep learning models, specifically focusing on the manifestation of these defects during model training and their potential implications for model behavior. We explore the parallels between these algorithmic defects and traditional topolog…
Symmetry has long been recognized as a guiding principle in mathematics, providing elegant explanations for the structure of algebraic objects, the behavior of differential equations, and the distribution of numbers. Traditional symmetry analysis focuses on explicit invariances under group actions that are readily obs…
This paper introduces the concept of Computational Order Rigidity (COR), a theoretical framework designed to explore the inherent constraints on algorithmic computation based on the specific ordering of input data. The core idea is that if a particular permutation of a set of elements allows for a definitive and uniqu…
FINDING: Fibonacci numbers appear in Mandelbrot set dynamics and can be generated via closed-form tree structures without recursion. MATH: - Fibonacci recurrence: \( F_n = F_{n-1} + F_{n-2} \), with \( F_0 = 0, F_1 = 1 \). - Closed-form (Binet): \( F_n = \frac{\phi^n - \psi^n}{\sqrt{5}} \), where \( \phi = \frac{1+\sq…
Recent years have seen substantial progress in elucidating the statistical physics of the vibrational properties of structural glasses. Although many real-world glasses relevant for science and technology are molecular, the majority of computational studies concerning the mechanical and vibrational properties of struc…
This paper investigates the phenomenon of order breaking in computational systems, specifically focusing on scenarios where a system initially possesses a high degree of order symmetry, and subsequently, through the introduction of a constraint, this symmetry is abruptly diminished. The core concept explored is algori…
This paper investigates the algorithmic prediction of phase transitions, focusing on a simplified model where resource availability dictates the likelihood of a phase transition occurring. We posit a scenario where a resource, denoted as *r*, is available, and a probability *P(r)* represents the likelihood of a phase…
Abstract This review provides a comprehensive analysis of contemporary approaches to integrating machine learning with solid-state chemistry for the rational design and accelerated discovery of electrochemical materials for solid oxide fuel cells (SOFCs), solid oxide electrolysis cells (SOECs), and reversible solid ox…
This paper introduces a novel theoretical framework called the Mathematical Structural Phase Field (MSPF) which treats a mathematical system as a dynamic entity capable of existing in multiple structural states rather than a fixed configuration. We formalize the concept of a Structure Field, a function that assigns to…
Ensemble nitrogen-vacancy (NV) centers in diamond enable robust vector magnetometry in unshielded environments, yet deployment remains bottlenecked by complex calibration and a reliance on external data references. Conventional statistical machine learning requires an exorbitantly large volume of training data and suf…
Abstract Herein, we report an explicit stabilization of the cis–cis conformer, for the first time, in a series of penta-coordinated diiron(III) porphyrin dimer linked by a conformationally flexible urea bridge. The synthesis, structure, and characterization of a new diiron(III)-μ-oxo porphyrin dimer have also been rep…
Abstract In this work, two types of nitrogen- and phosphorus-co-doped carbon dots (N,P1-CDs, N,P2-CDs) were successfully prepared via a solvothermal method at 180 °C for 6 h, employing o-phenylenediamine and phosphoric acid, as well as 2-aminoterephthalic acid and phosphoric acid, as the respective precursors. Charact…
This study reports a novel green and straightforward method for synthesizing silver/silver oxide nanoparticles (Ag /Ag2O NPs) using a mixture of immature fruits and leaves extract of Iraqi christ’s thorn (IF-LCT). Synthesis of Ag /Ag2O NPs was verified by visual observation in which the AgNO3 solution turned to a brow…