WhiteSymmetry
OverviewWhiteSymmetry
Space: Independent Teams
SEEK ID: https://workflowhub.eu/projects/350
Public web page: https://orcid.org/0000-0001-9937-9839
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Team created: 23rd Jun 2025
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https://orcid.org/0000-0001-9937-9839Physicist (Completed the dissertation phase of the Ph.D. in Physics), Reviewer, Author, Teacher & Lecturer, Occupational Safety Specialist
Keçeci, M. (2025). Keçeci Varsayımının Kuramsal ve Karşılaştırmalı Analizi. ResearchGate. https://dx.doi.org/10.13140/RG.2.2.21825.88165
Keçeci, M. (2025). Genelleştirilmiş Keçeci Operatörleri: Collatz Yinelemesinin Nötrosofik ve Hiperreel Sayı Sistemlerinde Uzantıları. Authorea. https://doi.org/10.22541/au.175433544.41244947/v1
Keçeci, M. (2025). From ...
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Keçeci Numbers: Keçeci Sayıları
Description / Açıklama
Keçeci Numbers (Keçeci Sayıları): Keçeci Numbers; An Exploration of a Dynamic Sequence Across Diverse Number Sets: This work introduces a novel numerical sequence concept termed "Keçeci Numbers." Keçeci Numbers are a dynamic sequence generated through an iterative process, originating from a specific starting value and an increment value. In each iteration, the increment value is added to the current value, and this "added value" is recorded ...
Downloadadnus (AdNuS): Advanced Number Systems
adnus is a Python library that provides an implementation of various advanced number systems. This library is designed for mathematicians, researchers, and developers who need to work with number systems beyond the standard real and complex numbers. Features
Harmonic and Oresme Sequences: Functions to generate harmonic numbers and Oresme sequences. Bicomplex Numbers: A class for bicomplex numbers with full arithmetic support. Neutrosophic Numbers: Classes ...
KececiLayout
Kececi Layout (Keçeci Yerleşimi): A deterministic graph layout algorithm designed for visualizing linear or sequential structures with a characteristic "zig-zag" or "serpentine" pattern.
Python implementation of the Keçeci layout algorithm for graph visualization. Description / Açıklama
This algorithm arranges nodes sequentially along a primary axis and offsets them alternately along a secondary axis. It's particularly useful for path graphs, chains, or showing progression.
Bu ...
Oresmej: Oresme Jax
Oresme numbers refer to the sums related to the harmonic series. Türkçe Tanım:
Oresme Sayıları, 14. yüzyılda Nicole Oresme tarafından incelenen matematiksel serilerdir. Oresme sayıları harmonik seriye ait toplamları ifade eder. İki türü vardır:
( \frac{n}{2^n} ) serisi (Oresme'nin orijinal çalışması), Harmonik sayılar (( H_n = 1 + \frac{1}{2} + \cdots + \frac{1}{n} )). Bu sayılar, analiz ve sayı teorisinde önemli rol oynar.
English Definition:
Oresme Numbers are mathematical ...
Türkçe Tanım:
Oresme Sayıları, 14. yüzyılda Nicole Oresme tarafından incelenen matematiksel serilerdir. Oresme sayıları harmonik seriye ait toplamları ifade eder. İki türü vardır:
( \frac{n}{2^n} ) serisi (Oresme'nin orijinal çalışması), Harmonik sayılar (( H_n = 1 + \frac{1}{2} + \cdots + \frac{1}{n} )). Bu sayılar, analiz ve sayı teorisinde önemli rol oynar.
English Definition:
Oresme Numbers are mathematical series studied by Nicole Oresme in the 14th century. Oresme numbers refer to the sums ...
Keçeci Fractals: Keçeci Fraktals
Keçeci Circle Fractal: Keçeci-style circle fractal.
Description / Açıklama
Keçeci Circle Fractal: Keçeci-style circle fractal.:
This module provides two primary functionalities for generating Keçeci Fractals:
kececifractals_circle(): Generates general-purpose, aesthetic, and randomly colored circular fractals. visualize_qec_fractal(): Generates fractals customized for modeling the (version >= 0.1.1) concept of Quantum Error Correction (QEC) codes. Stratum ...
Keçeci Binomial Squares (Keçeci Binom Kareleri): Keçeci's Arithmetical Square (Keçeci Aritmetik Karesi, Keçeci'nin Aritmetik Karesi)
Description / Açıklama
Keçeci Binomial Squares (Keçeci Binom Kareleri): Keçeci's Arithmetical Square (Keçeci Aritmetik Karesi, Keçeci'nin Aritmetik Karesi):
Keçeci Binomial Squares (Keçeci Binom Kareleri): The Keçeci Binomial Square is a series of binomial coefficients forming a square region within Khayyam (مثلث خیام), Pascal, Binomial Triangle, selected from a ...
grikod2 (Gri Kod, Gray Code)
A Python library for converting binary numbers to Gray Code with ease. Tanım (Türkçe)
Gri Kod: grikod2 İkili sayıları Gri Koda çevirir. Description (English)
Gri Kod: grikod2 converts binary numbers to Gray Code. Kurulum (Türkçe) / Installation (English) Python ile Kurulum / Install with pip, conda, mamba
pip install grikod2 -U python -m pip install -U grikod2 conda install bilgi::grikod2 -y mamba install bilgi::grikod2 -y
- pip uninstall grikod2 -y
- pip install ...
Grikod (Gri Kod, Gray Code)
Tanım (Türkçe) Gri Kod: Grikod İkili sayıları Gri Koda çevirir.
Description (English) Gri Kod: Grikod converts binary numbers to Gray Code.
Kurulum (Türkçe) / Installation (English) Python ile Kurulum / Install with pip, conda, mamba pip install grikod -U python -m pip install -U grikod conda install bilgi::grikod -y mamba install bilgi::grikod -y
- pip uninstall grikod -y
- pip install -U grikod
- python -m pip install -U grikod PyPI
Test Kurulumu / Test Installation ...
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 ...
Graf teorisi, bilgisayar bilimleri ve matematik eğitiminin temel taşlarından birini oluşturmakla birlikte, Hamilton döngüsü gibi NP-tam problemlerin soyut doğası, öğrenciler için önemli bir anlama zorluğu teşkil etmektedir. Bu tür problemlerin sezgisel olarak kavranması, genellikle karmaşık ve standart dışı graf yapılarının analitik olarak incelenmesini gerektirir. Geleneksel öğretim metotları, bu karmaşıklığı etkili bir şekilde aktarmada yetersiz kalabilmekte ve öğrencilerin konuya olan ilgisini ...
Hilbert spaces provide the fundamental mathematical framework for describing quantum mechanical systems. Their structure, characterized by an inner product and completeness, allows for the representation of quantum states as vectors and physical observables as self-adjoint operators. Key quantum phenomena such as superposition and entanglement find natural expression within this formalism. Superposition, where a quantum system can exist in multiple states simultaneously, is represented by linear ...
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 ...
Keçeci Varsayımı'nın Hesaplanabilirliği: Sonlu Adımda Kararlı Yapıya Yakınsama Sorunu
Mehmet Keçeci ORCID: https://orcid.org/0000-0001-9937-9839, Independent Researcher
Received: 03.08.2025
Abstract:
Bu çalışma, "Keçeci Varsayımı" olarak adlandırılan yeni bir matematiksel hipotezi sunar ve bu varsayımın, klasik Collatz Varsayımı'nın çok daha genel bir çerçevede formüle edilmiş hali olabileceğini ileri sürer. Keçeci Varsayımı, belirli bir yinelemeli süreç boyunca, herhangi bir başlangıç değerinin ...
Bu çalışma, harmonik serilerin hesaplanmasında geleneksel saf Python tabanlı bir yaklaşım ile modern JAX kütüphanesine dayalı bir yaklaşımın performans, ölçeklenebilirlik ve verimlilik açısından karşılaştırılmasını sunmaktadır. Harmonik seri ve matematiksel analizde önemli bir yere sahip olan ıraksak bir seridir. Hesaplamalı matematikte bu tür serilerin etkin bir şekilde değerlendirilmesi, özellikle büyük veri ve yüksek hassasiyet gerektiren uygulamalarda kritik öneme sahiptir. Geleneksel saf ...
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 study extends the domain of Keçeci Numbers, a unique class of sequences generated by a distinctive algorithm, beyond standard number systems into advanced mathematical structures such as neutrosophic and hyperreal numbers. Keçeci Numbers are sequences produced via a recursive algorithm based on a starting value and an incremental scalar, governed by rules of divisibility and primality. The primary objective of this paper is to investigate the behaviour of this deterministic algorithm within ...
Bu çalışma, özgün bir algoritmik yapıya sahip olan Keçeci Sayı dizilerinin tanım kümesini, standart sayı sistemlerinin ötesine taşıyarak nötrosofik ve hipergerçek sayılar gibi ileri düzey matematiksel yapılarla genişletmektedir. Keçeci Sayıları, temel olarak bir başlangıç değeri ve bir artış skalerine dayanan, bölünebilirlik ve asallık testlerine bağlı özyinelemeli bir algoritma ile üretilen dizilerdir. Bu çalışmanın temel amacı, bu deterministik algoritmanın, belirsizlik (nötrosofik) ve sonsuz ...
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 ...
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 ...
Weyl semimetals (WSMs) have emerged as one of the most groundbreaking discoveries in condensed matter physics in recent years, deepening our fundamental scientific understanding and opening new horizons for future technologies. These materials are named after Hermann Weyl, who in 1929 predicted Weyl fermions – massless, chiral relativistic particles. WSMs, as low-energy excitations of these fermions in solid-state systems, possess special points in their electronic band structure where bands cross ...
Beyond Topology: Deterministic and Order-Preserving Graph Visualization with the Keçeci Layout
Mehmet Keçeci1 1ORCID : https://orcid.org/0000-0001-9937-9839, İstanbul, Türkiye
Received: 03.07.2025
Özet/Abstract:
The visualization of scientific data is a fundamental step in uncovering hidden patterns and relationships within complex systems. While conventional force-directed graph layout algorithms (e.g., spring layout) are effective at displaying the general topology and clustering tendencies of ...
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 ...
Many systems encountered in nature and engineering exhibit complex and hierarchical geometric structures. Fractal geometry provides a powerful tool for understanding and modeling these structures. However, existing deterministic circle packing fractals, such as the Apollonian gasket, often adhere to fixed geometric rules and may fall short in accurately reflecting the diversity of observed structures. Addressing the need for greater flexibility in modeling physical and mathematical systems, this ...
Keçeci Deterministic Zigzag Layout (Keçeci Zigzag Layout Algorithm, Keçeci Layout) is a deterministic node layout algorithm designed for graph visualization in Python. Its primary purpose is to position the nodes of a graph in a predefined, sequential, and repeatable manner. The algorithm processes nodes sequentially, placing them along a user-defined primary axis (e.g., top-down or left-to-right) while applying an offset on the secondary axis in a zigzag pattern. This zigzag pattern helps prevent ...
Open Work Flow Articles (OWFAs)
Maintainers: Mehmet Keçeci
Number of items: 25
Tags: Open Work flow Articles (OWFAs), Open Work flow Articles, OWFAs
