Xperts.One

In statistical hypothesis testing, the interpretation of results often hinges on whether findings are labeled as "significant" or "not significant" based on arbitrary p-value thresholds. This article critically examines the common misconception that the difference between statistically significant and non-significant results necessarily implies a meaningful or statistically significant difference between …

Retinoblastoma is the most common primary intraocular malignancy in children, arising from mutations in the RB1 gene that lead to uncontrolled retinal cell proliferation. Early diagnosis and effective management are crucial for preserving vision and improving survival rates. This article provides a comprehensive overview of the clinical presentation, diagnostic techniques, …

Peripheral blood mononuclear cells (PBMCs) represent a heterogeneous population of immune cells circulating in the bloodstream, including lymphocytes and monocytes, with promising potential for regenerative medicine and cellular therapies. This article explores the multi-differentiation capacity of PBMCs, highlighting their ability to differentiate into various cell lineages beyond their native immune …

Augmented Reality (AR) has evolved significantly in recent years, transforming from a niche technology into a powerful tool across diverse industries such as gaming, healthcare, education, retail, and manufacturing. This article presents a comprehensive review of recent advances in AR, focusing on improvements in hardware, software, and user interaction. Key …

Quantum computing has advanced rapidly from theoretical foundations to practical experimentation, entering what is known as the Noisy Intermediate-Scale Quantum (NISQ) era. This article provides an in-depth overview of quantum computing in the NISQ era and explores pathways beyond it. NISQ devices, characterized by tens to a few hundred qubits …

The adoption of environmental strategies in the hotel industry has become increasingly critical in response to growing environmental concerns, stakeholder pressure, and regulatory demands. This article explores the key driving and restraining forces influencing the implementation of green practices in hotels, using Kurt Lewin’s Force Field Analysis as the conceptual …

The efficacy of chloroquine and hydroxychloroquine in the treatment of COVID-19 has been a subject of global scientific and medical scrutiny since the onset of the pandemic. Initially repurposed for their known antiviral and immunomodulatory properties, both drugs gained attention due to preliminary in vitro studies suggesting potential activity against …

DNA cloning and the analysis of plasmid structure and function are fundamental techniques in molecular biology, enabling the detailed study and manipulation of genetic material. This article provides a comprehensive overview of the methods and applications associated with plasmid-based DNA cloning. Plasmids, which are small, circular, double-stranded DNA molecules found …

Cryptocurrency trading has emerged as a transformative force in the global financial landscape, attracting investors, technologists, and policymakers alike. This comprehensive survey explores the evolution, mechanisms, strategies, and challenges associated with cryptocurrency trading. Beginning with an overview of major cryptocurrencies and exchanges, the paper examines various trading strategies including spot …

This note provides a detailed proof of Conner–Gesmundo– Landsberg–Ventura’s result that the border rank of the Kronecker square of the little Coppersmith–Winograd tensor is (q + 2)2 . We also indicate how the same ideas seem to extend to the case of the Kronecker cube, pointing toward the conjectural value …

In this paper, we study the vertex functions of finite type A bow varieties. Vertex functions are K-theoretic analogs of I-functions, and 3d mirror symmetry predicts that the qdifference equations satisfied by the vertex functions of a variety and its 3d mirror dual are the same after a change of …

We study the algebraic exceptional set of a three-component curve B with normal crossings on a Hirzebruch surface Fe. If KFe + B is big and no component of B is a fiber or the rational curve with negative self-intersection, we prove that the algebraic exceptional set is finite, and …

We prove a compatibility between parabolic restriction of Whittaker sheaves and restriction of representations under the geometric Casselman-Shalika equivalence. To do this, we establish various Hecke structures on geometric Eisenstein series functors, generalizing results of Braverman-Gaitsgory in the case of a principal parabolic. Moreover, we relate compactified and non-compactified geometric …

We construct and analyze the “syntomic Steenrod algebra”, which acts on the mod p syntomic cohomology (also known as étale-motivic cohomology) of algebraic varieties in characteristic p. We then apply the resulting theory to resolve the last open cases of a 1966 Conjecture of Tate, concerning the existence of a …

We study the Clifford dimension of an integral curve. To do so, we extend the notion of Clifford index, allowing torsion-free sheaves on its computation. We derive results for arbitrary curves, and then focus on the monomial case. In this context, we obtain combinatorial formulae for the Clifford index and …

We study automorphisms of quasi-smooth hypersurfaces in weighted projective spaces, extending classical results for smooth hypersurfaces in projective space to the weighted setting. We establish effective criteria for when a power of a prime number can occur as the order of an automorphism, and we derive explicit bounds on the …

In this paper, we study the K-stability of del Pezzo surfaces with a single quotient singularity whose minimal resolution admits exactly two exceptional curves E1 and E2 with E 2 1 = −n, E 2 2 = −m for n, m ≥ 2.

We show the finiteness of the N´eron-Severi lattices of complex projective K3 surfaces whose automorphism groups are non-elementary hyperbolic with explicit descriptions, under the assumption that the Picard number ≥ 6 which is optimal to ensure the finiteness. Our proof of finiteness is based on the study of genus one …