Documents

This study comprehensively examines the profound technological and methodological synergies existing between observations made via interferometric detectors such as LIGO and Virgo, which have revolutionized the field of gravitational wave (GW) astrophysics, and the rapidly advancing quantum computing (QC) technologies. As both disciplines aim to perform measurements pushing the limits of precision, the effective control and mitigation of environmental and quantum-originated noise pose a critical ...

Nodal-line semimetals constitute a fascinating subclass within the family of topological materials in condensed matter physics. These unique materials are characterized by the intersection of their electronic energy bands along one or more closed or open lines within the Brillouin Zone, rather than at isolated points. These lines of intersection are termed "nodal lines," and along these lines, electrons can behave as if they were massless, leading to extraordinary electronic properties. The ...

Cheat sheet that serves as a quick guide to the many advanced features that PyCOMPSs offers. Updated for COMPSs release version 3.3.2.

Solving the Hamiltonian Problem in Graph Theory Education with Z3 and the Keçeci Layout

Mehmet Keçeci ORCID: https://orcid.org/0000-0001-9937-9839

Received: 08.21.2025

Abstract: Whilst graph theory constitutes a cornerstone of computer science and mathematics education, the abstract nature of NP-complete problems, such as the Hamiltonian cycle problem, presents a significant conceptual challenge for students. An intuitive grasp of such problems often requires the analytical inspection of complex ...

The development of quantum computers represents one of the most exciting and challenging endeavours in modern science. Progress in this field, particularly with the advent of the second quantum revolution, necessitates a profound interplay between diverse disciplines such as materials science, condensed matter physics, and quantum information theory. The primary aim of this work is to explore the potential of layered quantum structures containing exotic particles—Weyl and Majorana fermions—to ...

The Limits of Python in Computational Mathematics and Their Extension with JAX: An Application on Harmonic Numbers

Mehmet Keçeci ORCID: https://orcid.org/0000-0001-9937-9839, Independent Researcher

Received: 29.07.2025

Abstract:

This study presents a comparative analysis of a traditional, pure Python-based approach and a modern, JAX library-based approach for calculating the harmonic series, focusing on performance, scalability, and efficiency. The harmonic series is a divergent series of significant ...

This file contain the missing copy number information for TracerX study (https://www.nejm.org/doi/full/10.1056/NEJMoa1616288).

This study presents a comparative analysis of static and dynamic number sequences, using the classical Oresme numbers and the novel Keçeci numbers, developed by Mehmet Keçeci, as primary case studies. Static sequences are characterized by a fixed, predictable recurrence relation. The Oresme numbers—the partial sums of the harmonic series (Η_n=∑(k=1)^n 1/k)—exemplify this category. Their generation follows a simple, deterministic rule (Η_n= Η(n-1)+1/n), and their predictable divergence, proven ...