Decomposition - Science topic

This paper examines a discrete-time retrial queueing system where incoming customers can either choose a last-come, first-served (LCFS) discipline or enter an orbit. It accounts for the possibility of varying service times, which follow an arbitrary distribution, and the retrial times are also governed by an arbitrary distribution. The underlying M...

The influence of hydrogen on the precipitation kinetics of L12-Al3Zr ordered precipitates in an industrial Al-Zr alloy was investigated using transmission electron microscopy (TEM) and atom probe tomography (APT). Aging at 375 °C under 10 MPa of hydrogen led to a significant acceleration of Al3Zr precipitate growth, a larger mean precipitate size c...

Ni-rich cathode materials are highly regarded for their potential in high-energy density lithium-ion batteries (LIBs). Nonetheless, their intrinsic thermal instability poses a significant risk of thermal runaway, which is a major obstacle to their commercial application. This study presents a novel approach to enhancing the thermal stability of Ni-...

Prostate-specific antigen (PSA) tests are used in forensic examinations of sexual offences to indicate the presence of seminal fluid. Based on a retrospective analysis of 484 forensic samples collected in sexual assault cases, we observed a significant enrichment of potentially misleading tests for seminal fluid, for samples collected post-mortem....

Long-span bridges are prone to structural damage and stiffness degradation over extended service periods, posing significant risks to bridge performance and vehicle safety. The deflection of the main beam is a crucial indicator of stiffness degradation, making long-term deflection monitoring and early structural damage warning essential. This study...

Separating the effects of waves and turbulence in oceanographic time series is an ongoing challenge because surface wave motion and turbulence fluctuations can occur at overlapping frequencies. Therefore, simple bandpass filters cannot effectively separate their dynamics. While more advanced decomposition techniques have been developed, they often...

Highlights: This work generalized an index proposed in our previous work (i.e., impulsive mode decomposition) into cycle-embedded sparsity measures (CESMs). We believe the CESMs can be applied in many signal processing models to quantify periodic impulsive signal components. Abstract: Faults of rotating machinery parts, such as bearings and gears,...

Composting is a sustainable method for treating food waste (FW) in Bahrain, where FW management typically involves incineration or landfilling. This study explores converting FW into organic compost for national afforestation, offering an alternative to animal‐based compost. A 20 kg FW sample was composted over six weeks, producing 12 kg of compost...

The quantum theory of atoms in molecules gives access to well-defined local atomic energies. Due to their locality, these energies are potentially interesting in fitting atomistic machine learning models as they inform about physically relevant properties. However, computationally, quantum-mechanically accurate local energies are notoriously diffic...

Recently, tensor singular value decomposition (t-SVD)–based methods were proposed to solve the low-rank tensor completion (LRTC) problem, which has achieved unprecedented success on image and video inpainting tasks. The t-SVD is limited to process third-order tensors. When faced with higher-order tensors, it reshapes them into third-order tensors,...

The central object of study in this paper are infinite banded Hessenberg matrices admitting factorisations as products of bidiagonal matrices. In the two main novel results of this paper, we show that these Hessenberg matrices are associated with the decomposition of \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackag...

Alpha rhythm (8-13 Hz), a key neural oscillation in the brain, plays a significant role in cognitive functions and reflects the brain's excitatory-inhibitory (E-I) balance. This study investigates the dynamics of alpha rhythm across the lifespan, focusing on how E-I balance modulates alpha power and peak frequency, and exploring the distinct age-re...

Seminario tenuto al Primo anno della Laurea Magistrale in Ingegneria Gestionale inerente il problema del calcolo della "Nearest Correlation Matrix"

Purpose Visual 3D scene reconstruction can support colonoscopy navigation. It can help in recognising which portions of the colon have been visualised and characterising the size and shape of polyps. This is still a very challenging problem due to complex illumination variations, including abundant specular reflections. We investigate how to effect...

Despite recent advances in video understanding, the capabilities of Large Video Language Models (LVLMs) to perform video-based causal reasoning remains underexplored, largely due to the absence of relevant and dedicated benchmarks for evaluating causal reasoning in visually grounded and goal-driven settings. To fill this gap, we introduce a novel b...

Background The decomposition of organic matter is among the most important ecosystem processes in forest ecosystems, regulating the carbon and nutrient cycle. However, our understanding about how direct (environment and decomposer diversity) and indirect effects (environment via decomposer diversity) contribute to deadwood decomposition is limited....

Citation: Deb Roy, P.; Dey, S.; Bhogapurapu, N.; Chakraborty, S. Retrieval of Surface Soil Moisture at Field Scale Using Sentinel-1 SAR Data. Sensors 2025, 25, 3065. https:// Abstract: The presence of vegetation in agricultural fields affects the accuracy of soil moisture retrieval using synthetic aperture radar (SAR) data. As a result, the estimat...

Adaptive decomposition methods for vibration signals have predominantly concentrated on the extraction of fault frequency components in rotational machinery, often overlooking the time-domain impact characteristics of reciprocating machinery. These methods struggle to effectively isolate the periodic, multi-source impact features of reciprocating m...

Reconfigurable intelligent surfaces (RISs) and cell-free massive multiple-input multiple-output (CF-mMIMO) are effective solutions for mitigating large path loss and inter-cell interference in terahertz (THz) systems. However, passive RISs are notably limited from double-fading attenuation, motivating the use of active RISs with power amplification...

We propose a novel optimization model for partitional clustering with unknown number of clusters, combining the Minimum of Sum of Squared Clustering (MSSC) as the loss term and the \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{...

Background: Older adults face substantial sex gaps in health. In many contexts, females live longer than males, but their time spent with disability is also higher. Our study assesses (i) the sex gap (female–male) in health through life expectancy and healthy life expectancy and (ii) the morbidity-mortality paradox among older adults aged 60 and ab...

In this paper, we study the concentration properties of quadratic forms associated with Markov chains using the martingale decomposition method introduced by Atchad\'e and Cattaneo (2014). In particular, we derive concentration inequalities for the overlapped batch mean (OBM) estimators of the asymptotic variance for uniformly geometrically ergodic...

We obtain the full spectral decomposition of the pullback of a Saito-Kurokawa (SK) newform $F$ of odd, square-free level; and show that the projections onto the elements $\mathbf g \otimes \mathbf g$ of an arithmetically orthogonalized old-basis are either zero or whose squares are given by the certain $\mathrm{GL}(3)\times \mathrm{GL}(2)$ central...

Recently, papers have started combining the naming of two popular decomposition methods: the Oaxaca-Blinder (OB) method and the Kitagawa method, a popular method in demographics and sociology. Although the two approaches have the same objective in terms of decomposing outcome differences in some variable of interest between two populations, they ar...

In systems engineering, accurately decomposing requirements is crucial for creating well-defined and manageable system components, particularly in safety-critical domains. Despite the critical need, rigorous, top-down methodologies for effectively breaking down complex requirements into precise, actionable sub-requirements are scarce, especially co...

Long-range and multi-body interactions are crucial for quantum simulation and quantum computation. Yet, their practical realization using elementary pairwise interactions remains an outstanding challenge. We propose an experimental scheme based on the Bose-Hubbard system with a periodic driving of the on-site energy and global-range density-density...

Industrially relevant constrained optimization problems, such as portfolio optimization and portfolio rebalancing, are often intractable or difficult to solve exactly. In this work, we propose and benchmark a decomposition pipeline targeting portfolio optimization and rebalancing problems with constraints. The pipeline decomposes the optimization p...

The isovector response in 12 B was investigated via the 12 C(10 Be, 10 B+γ) reaction at 100A MeV. By utilizing the γ-decay properties of the 1.74 MeV 0 + and 0.718 MeV 1 + states in 10 B, the separate extraction of the non-spin-transfer (∆S = 0) and spin-transfer (∆S = 1) isovector responses up to an excitation energy of 50 MeV in 12 B in a single...

In 2020, Cochoy and Oudot got the necessary and sufficient condition of the block-decomposition of 2-parameter persistence modules $\mathbb{R}^2 \to \textbf{Vec}_{\Bbbk}$. And in 2024, Lebovici, Lerch and Oudot resolve the problem of block-decomposability for multi-parameter persistence modules. Following the approach of Cochoy and Oudot's proof of...

In this article, we establish an additive decomposition of the discrete zeta function (for $s \in \mathbb{N}^*$, $s > 1$), more precisely of the function $4(\zeta(s)-1)$, as a series whose general term is of the form $1/x_n(s) + 1/y_n(s) + 1/z_n(s)$, where $x_n(s), y_n(s), z_n(s)$ are solutions of the Erdos--Straus conjecture under a personal conje...

This paper aimed to comparatively examine the function of three risk‐coping strategies, namely savings, borrowings, and work‐hour adjustments, during two major economic crises in Thailand. Using the Socioeconomic Survey (SES) collected by the National Statistical Office (NSO) in Thailand, we examined data from the 1998 financial crisis and the 2021...

The focus of the paper is on constructing new solutions of the generalized classical Yang-Baxter equation (GCYBE) that are not skew-symmetric. Using regular decompositions of finite-dimensional simple Lie algebras, we construct Lie algebra decompositions of \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts...

Objective. Proper identification of eloquent cortices is essential to minimize post-surgical deficits in patients undergoing resection for epilepsy and tumors. Current methods are subjective, vary across centers, and require significant expertise, underscoring the need for more objective pre-surgical mapping. Phase-amplitude coupling (PAC), the int...

The Transformer model has achieved notable success in various sequence generation tasks such as machine translation and generative text summarization. However, its performance remains suboptimal in low-resource scenarios. This limitation stems from insufficient learning of model parameters and the reliance on a single-scale, global modeling mechani...

The rise of large language models (LLMs) has amplified the role of natural language (NL) in software engineering, and its inherent ambiguity and susceptibility to misinterpretation pose a fundamental challenge for software quality, because employing ambiguous requirements may result in the generation of faulty programs. The complexity of ambiguity...

Tambara functors are equivariant analogues of rings arising in representation theory and equivariant homotopy theory. We introduce the notion of a clarified Tambara functor and show that under mild conditions every Tambara functor admits a decomposition as a product of coinductions of clarified Tambara functors; projection onto the non-coinduced pa...

Large language models (LLMs) often generate fluent but factually incorrect outputs, known as hallucinations, which undermine their reliability in real-world applications. While uncertainty estimation has emerged as a promising strategy for detecting such errors, current metrics offer limited interpretability and lack clarity about the types of unce...

Objective To explore the burden and trend of osteoarthritis (OA) at different sites in middle-aged and elderly people (45 years and older) from 1990 to 2021. Methods Age-standardized incidence rates, prevalence rates, disability-adjusted life years (Daly) rates and average annual percent change were used to quantify the disease burden and trend of...

The formation and decomposition of complexes of ions with atmospheric analyte molecules are key processes in Chemical Ionization Mass Spectrometry (CIMS) instruments, as well as in atmospheric new particle formation...

Early fault signals of the rolling bearing in the rotor are weak and present the characteristics of non-periodic and non-stationary; it is more difficult to carry out fault diagnosis on it. In this regard, this paper proposes a weak rolling bearing fault diagnosis algorithm based on whale optimization algorithm, simplistic geometry mode decompositi...

Networks are ubiquitous in various fields, representing systems where nodes and their interconnections constitute their intricate structures. We introduce a network decomposition scheme to reveal multiscale core-periphery structures lurking inside, using the concept of locally defined nodal hub centrality and edge-pruning techniques built upon it....

Aqueous rechargeable magnesium ion batteries promise high energy density and safety but suffer from low cycling stability and poor reversibility, primarily due to side reactions and passivation resulting from the decomposition of free water. Here, the study proposes a novel electrolyte composed of cost‐effective MgCl2∙6H2O and a strong polar aproti...

It has recently been shown in [\emph{Discrete Appl. Math.} {\bf 366} (2025) 75--85] that the resonance graph of a plane elementary bipartite graph $G$ is a daisy cube if and only if $G$ is peripherally 2-colorable. Let $G$ be a peripherally 2-colorable graph and $R(G)$ be its resonance graph. We provide a decomposition structure of $R(G)$ with resp...

This study investigates the effect of different types of oil price shocks—supply, demand, and risk shocks—on corporate financial risk and further explores whether environmental information disclosure moderates this relationship. Drawing on a panel dataset of 18,630 firm-year observations from Chinese listed companies, the analysis adopts a structur...

The aim of this paper is to propose a new method to construct exponential attractors for infinite dimensional dynamical systems in Banach spaces with explicit fractal dimensions. The approach is established by combining the squeezing properties and the covering of finite subspace of Banach spaces, which generalizes the method established in Hilbert...

The research was carried out with the aim to know the growth performance, Instability and decomposition analysis of mango in Uttar Pradesh.

Vapor phase deposition of formamidinium-rich perovskites is hampered by the decomposition of formamidine in the vapor phase. We use the reversibility of this reaction to establish a dynamic equilibrium that enables the vapor-phase synthesis of formamidinium iodide from the “degradation products” s-triazine, ammonia, and hydrogen iodide and thereby...

We compute the contribution of the gluonic component of the energy-momentum tensor (EMT) to the angular momentum (AM) density in various decompositions. We use the light-front Hamiltonian technique, and a two-component formalism in light-front gauge, where the constrained degrees of freedom are eliminated. Instead of a nucleon, we consider a simple...

The original generative adversarial network (GAN) model may struggle to adequately capture global information in images, particularly during complex decomposition tasks, leading to limitations in image clarity, detail retention and overall consistency. To address this challenge, we propose the large separable kernel attention generative adversarial...

Understanding the computations of convolutional neural networks requires effective visualization of their kernels. While maximal activation methods have proven successful in highlighting the preferred features of 2D convolutional kernels, directly applying these techniques to 3D convolutions often leads to uninterpretable results due to the higher...

We compute the angular momentum flux from a noncircular nonspinning binary system of compact objects in massless scalar-tensor theories up to one and a half post-Newtonian (1.5PN) order using multipole moments. The angular momentum flux in scalar-tensor theories involves both a tensorial and a scalar contribution, which can be further decomposed as...

The development of wireless communication technology has led to increasing pressure on spectrum resources, making the rational allocation and utilization of these resources a significant challenge both currently and in the future. Although spectrum data is a complex nonlinear time series, it exhibits a high degree of temporal and spatial correlatio...

Bypass combustion implementation in a variable cycle engine offers a viable solution for operational mode transitions. Compared to the main combustor, the relative pressure and inlet temperature of bypass combustor proposed a challenge to its flame anchoring and high efficiency. Through integrated numerical and experimental approaches employing hig...

Let \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$(\mathcal {X}, d, \mu )$$\end{document} be a metric measure space of homogeneous type and let \documentclass[12pt]{m...

Asymptotic safety constitutes a promising mechanism for a consistent and predictive high-energy completion of the gravitational interactions. To date, most results on the interacting renormalization group fixed point underlying the construction are obtained for Euclidean signature spacetimes. In this work, we use the Arnowitt-Deser-Misner decomposi...

Prize-Collecting TSP is a variant of the traveling salesperson problem where one may drop vertices from the tour at the cost of vertex-dependent penalties. The quality of a solution is then measured by adding the length of the tour and the sum of all penalties of vertices that are not visited. We present a polynomial-time approximation algorithm wi...

Let $T$ be a complete, model-complete, geometric dp-minimal $\mathcal{L}$-theory of topological fields of characteristic $0$ and let $T(\partial)$ be the theory of expansions of models of $T$ by a derivation $\partial$. We assume that $T(\partial)$ has a model-companion $T_{\partial}$. Let $\Gamma$ be a finite-dimensional $\mathcal{L}_\partial$-def...

This technical report presents a tidal analysis of the Venice Lagoon based on high-resolution time series data from the Centro Maree station. The analysis includes spectral decomposition using the Fast Fourier Transform (FFT) to identify dominant tidal frequencies and amplitudes, as well as harmonic analysis through both Fourier-based and least-squ...

The $c$-packedness property, proposed in 2010, is a geometric property that captures the spatial distribution of a set of edges. Despite the recent interest in $c$-packedness, its utility has so far been limited to Fr\'echet distance problems. An open problem is whether a wider variety of algorithmic and data structure problems can be solved effici...

Let G be a complex reductive Lie group acting on a compact K\"ahler manifold X and assume that the action of a maximal compact subgroup K of G is Hamiltonian. For each extreme point of the convex hull of the momentum map image, there is an associated open dense subset of X, which is invariant under a parabolic subgroup Q of G. We prove a Q-equivari...

The existing power load forecasting algorithms are constrained by preprocessing limitations and insufficient prediction accuracy. Temporal Convolutional Network (TCN), Bi-directional LSTM (BiLSTM), and Multi-Head Attention (MHA) for high-precision, real-time power load prediction were used in this paper to propose a hybrid model, which combined Imp...

We consider actions, similar to those of Haglund, Rhoades, and Shimozono on ordered partitions, and their basis in terms of the higher Specht polynomials of Ariki, Terasoma, and Yamada, as carried out by Gillespie and Rhoades. By allowing empty sets and working with multi-sets and weak partitions as indices, we obtain a decomposition of the action...

Plain Language Summary The western North Pacific anticyclone (WNPAC) plays a critical role in seasonal forecasting of East Asian precipitation, typically intensifying from winter in El Niño years to the following autumn. Previous studies have attributed this enhancement primarily to large‐scale factors, including sea surface temperature (SST) anoma...

We define eventually symmetric functions to be those power series of bounded degree in infinitely many variables that are invariant under interchanging all the variables with large enough indices. We show how this ring $\tilde{\Lambda}$ is the natural place to define the stable versions of the higher Specht polynomials of Ariki, Terasoma, and Yamad...

%We show how to normalize the higher Specht polynomials of Ariki, Terasoma, and Yamada in a compatible way in order to define a stable version of these polynomials. We also decompose the non-transitive actions of Haglund, Rhoades, and Shimozono into orbits, and show how the associated basis of higher Specht polynomials of Gillespie and Rhoades resp...

Triple decomposition, which is a novel decomposition for the third order tensors, decomposes a third order tensor into a product of three third order low rank tensors. Alternating least-squares (ALS) is one of the most commonly used algorithms for tensor decomposition. In this paper, we combined the trust region method with the ALS algorithm to est...

The isovector response in $^{12}$B was investigated via the $^{12}$C($^{10}\mathrm{Be}$,$^{10}\mathrm{B}$+$\gamma$) reaction at $100 A \, \mathrm{MeV}$. By utilizing the $\gamma$-decay properties of the 1.74 MeV $0^{+}$ and 0.718 MeV $1^{+}$ states in $^{10}\mathrm{B}$, the separate extraction of the non-spin-transfer ($\Delta S=0$) and spin-transf...

This paper addresses the two-dimensional direction-of-arrival(2D-DOA) estimation problem using an Electromagnetic Vector Sensor (EMVS) array, where an arbitrary array geometry and the presence of unknown nonuniform noise are considered. A novel algorithm combining tensor completion and Parallel Factor Decomposition (PARAFAC) is proposed to improve...

Keywords: Diffusion Acquisition, Diffusion Acquisition, Low-field MRI, L+S decomposition, diffusion reconstruction Motivation: Low-field MRI systems face challenges in diffusion imaging due to limited gradient strength and switching rates. Overcoming these limits is essential to broadenlow-field MRI applications. Goal(s): Develop an advanced, gradi...

The sufficient conditions for insolvability of the Diophantine equation $\sum_{i=1}^{m}x_i^{n}=bc^{n}$ ($n, m \geq 2$, $b, c\in \mathbb{N}$) in nonnegative integers are obtained for the case where the canonical decomposition of the number $c$ consists of powers of primes $p_i$ which satisfy the condition $\varphi(p_i^{k_i})\mid n$ ($p_i^{k_i }\geq...

Spatial temporal reconstruction of dynamical system is indeed a crucial problem with diverse applications ranging from climate modeling to numerous chaotic and physical processes. These reconstructions are based on the harmonious relationship between the Koopman operators and the choice of dictionary, determined implicitly by a kernel function. Thi...

We introduce Autoregressive Graphical Models (AGMs) as an Ansatz for modeling the ground states of stoquastic Hamiltonians. Exact learning of these models for smaller systems show the dominance of the pairwise terms in the autoregressive decomposition, which informs our modeling choices when the Ansatz is used to find representations for ground sta...

Watermarking supports inserting and hiding secret data with predetermined host signals, such as audio, video, and images, without interfering with regular use. Digital audio watermarking is used to embed the images within the audio signal. Digital audio watermarking poses unique challenges due to the sharp sensitivity of the human auditory system c...

In this work, the exponential stability of the nonlocal fractional heat equation is studied. The fractional Laplacian is defined via a singular integral. Using the spectral properties of the fractional Laplacian and a state decomposition, a feedback control is constructed by considering the first N modes and an observer defined via a bounded operat...

Polyvinyl chloride (PVC) is primarily manufactured via radical suspension polymerization of vinyl chloride monomer (VCM). Previously, dual‐component ferrocene (Fc)‐based kickers have been shown to enhance this process by facilitating the controlled decomposition of organic peroxides into radicals during the initiation step. However, these systems o...

Cloud manufacturing system is a service-oriented and knowledge-based one, which can provide solutions for the large-scale customized production. The service resource allocation is the primary factor that restricts the production time and cost in the cloud manufacturing customized production (CMCP). In order to improve the efficiency and reduce the...

Signal source estimation is an essential step in a multitude of blind source separation and signal recognition algorithms, which is pivotal for the accuracy of these algorithms. The signals in the single-channel mode are mixed with all information, making the estimation of the signal sources especially difficult. To accurately perform single-channe...

Subseasonal to seasonal (S2S) forecasting is crucial for early weather disaster prevention. Numerical weather prediction outputs often have systematic biases that need correction. To address this issue, the deep‐learning model BiConvLSTM harnesses spatiotemporal data to correct the 2‐m air temperature forecasts from the European Centre for Medium‐R...

In this paper, the radial Toeplitz forms on the weighted Bergman space over the unit disk are introduced and an analogous result to the Herglotz-Bocher theorem is shown. In other words, an integral representation of the radial Toeplitz sesquilinear forms is given. This approach is then used to show a spectral decomposition of the radial Toeplitz op...

One of the fundamental problems within the field of machine learning is dimensionality reduction. Dimensionality reduction methods make it possible to combat the so-called curse of dimensionality, visualize high-dimensional data and, in general, improve the efficiency of storing and processing large data sets. One of the best-known nonlinear dimens...

Accurate reference evapotranspiration (ETo) prediction is important for water resource management, particularly in arid regions where water availability is highly variable. However, the nonlinear and non-stationary characteristics of ETo time series pose challenges for conventional prediction models. Given this, in this study we evaluate eight deco...

It is easier to investigate phenomena in particle physics geometrically by exploring a real solution to the Dirac–Hestenes equation instead of a complex solution to the Dirac equation. The current research presents a formulation of the multidimensional Dirac–Hestenes equation. Since the matrix representation of the complexified (Clifford) geometric...

Governments shape policy outcomes using two distinct mechanisms: rules and discretion. A simple decomposition strategy is proposed for distinguishing between these policymaking mechanisms on income inequality in the American states from 1986 to 2020. This analytical strategy is easily applicable to other policy settings. The statistical evidence, f...

We present Latent Diffeomorphic Dynamic Mode Decomposition (LDDMD), a new data reduction approach for the analysis of non-linear systems that combines the interpretability of Dynamic Mode Decomposition (DMD) with the predictive power of Recurrent Neural Networks (RNNs). Notably, LDDMD maintains simplicity, which enhances interpretability, while eff...

We analyse the small-scale characteristics, such as enstrophy, total strain and normality/non-normality, in the three-dimensional, separated flow around a NACA 0018 wing using direct numerical simulations. The angle of attack is $10^\circ$ and the Reynolds number (based on the chord length) is $Re_c=5000$ . The role of non-normality is investigated...

In this paper, we analyze nonlinear model predictive control (MPC) using data-driven surrogates in the prediction and optimization step. First, we establish asymptotic stability of the origin, a controlled steady state, w.r.t. the MPC closed loop without stabilizing terminal conditions. To this end, we prove that cost controllability of the origina...

Ammonia (NH 3 ) plays a pivotal role in the global economy other than being considered one of the most promising C-free liquid hydrogen carrier for addressing a sustainable energy transition. The current Haber–Bosch process for ammonia production accounts for ∼ 1.3% of global CO 2 emissions, hence making urgent the development of sustainable altern...

We study smooth function spaces of Gelfand-Shilov type, with global behavior governed through a translation-invariant Banach function space and localized via a weight function system. We clarify the roles of the translation-invariant Banach function space, convolution, and pointwise multiplication in connection with the weight function system. Our...

We present a quantum variational algorithm based on a novel circuit that generates all permutations that can be spanned by one- and two-qubits permutation gates. The construction of the circuits follows from group-theoretical results, most importantly the Bruhat decomposition of the group generated by the \(\mathtt{cx}\) gates. These circuits requi...

Convectively coupled Kelvin waves (CCKWs) significantly influence tropical rainfall variability; however, accurately simulating these waves remains a challenge in atmospheric modeling. Cumulus parameterization is a critical element in model‐generated CCKW activity among the various factors. This study investigated the impact of cumulus parameteriza...

The indirect nonlinear interactions between toroidal Alfvén eigenmode (TAE) and ion temperature gradient mode (ITG) are investigated utilizing nonlinear gyrokinetic theory and ballooning mode decomposition. More specifically, the local nonlinear ITG mode equation is derived adopting the fluid-ion approximation, with the contributions of zonal field...