Tạp chí Khoa học Thăng Long
2734-9837
Việt Nam
Cơ quản chủ quản: Trường Đại học Thăng Long
Lĩnh vực:
Các bài báo tiêu biểu
Hoàng Xuân Sính’s thesis: Categorifying Group Theory
Tập 2 Số 8 - 2023
During what Vietnamese call the American War, AlexanderGrothendieck spent three weeks teaching mathematics in and near Hanoi.Hoàng Xuân Sính took notes on his lectures and later did her thesis workwith him by correspondence. In her thesis she developed the theory of‘Gr-categories’, which are monoidal categories in which all objects andmorphisms have inverses. Now often called ‘2-groups’, these str......
#2-group #Gr-category #Picard category #monoidal category #symmetric monoidal category #crossed module
A STUDY OF PROPERTY INHERITANCE IN THE NINETEENTH CENTURY RED RIVER DELTA
Tập 1 Số 2 - Trang 86-105 - 2021
In this article, family structure and land ownership in Vietnam during the first half of the nineteenth century are considered by analyzing two testaments and the land cadastre of the Nguyễn Dynasty.From these, it seems probable that the nineteenth-century Vietnamese village had multi-household compounds that were biased toward patrilocal residence. These compounds share certain characteristics wi......
#Early Modern Vietnam #Lineage #Multi-household compound #Confucianism #Village documents
A blockchain-based Certificate Management System using the Hyperledger Fabric Platform
Tập 2 Số 8 - Trang - 2023
In recent years, blockchain technology, with its outstanding advantages in terms of security and decentralized data storage, has quickly been applied in education, especially in managing educational certificates. The traditional paper certificate management process has many limitations on security, storage, verification, ownership, and prevention of certificate fraud and tampering. With emerging b......
A NEW CLASS OF UNIQUE RANGE SETS FOR MEROMORPHIC FUNCTIONS IGNORING MULTIPLICITY WITH 15 ELEMENTS
Tập 1 Số 4 - Trang 103-115 - 2022
In this paper, we give a new class of unique range sets for meromorphic functions ignoring multiplicity with 15 elements.
#Meromorphic Function #uniqueness #ignoring multiplicity.
A survey on solution approaches for the equilibrium problem defined by the nikaido-isoda-fan inequality
Tập 2 Số 8 - 2023
We provide a brief survey on basic solution approaches for solving the equilibirum problem defined by the Nikaido-Isoda-Fan inequality. Namely, first we state the problem and consider its most important special cases including the optimization, inverse optimization, Kakutani fixed point, variational inequality, Nash equilibrium problems. Next, we present some basic solution approaches for the prob......
#Nikaido-Isoda-Fan equilibrium problem #variational inequality #Cournot-Nash equilibrium model
ALGEBRAIC DIFFERENTIAL OPERATORS ON ARITHMETIC AUTOMORPHIC FORMS, MODULAR DISTRIBUTIONS, 𝙋-ADIC INTERPOLATION OF THEIR CRITICAL 𝙇 VALUES VIA BGG MODULES AND HECKE ALGEBRAS
Tập 1 Số 4 - Trang 1-26 - 2023
The paper extends author’s method of modular distributions (2002, [75]) to arithmetic automorphic L functions on general classical groups. Main resultat gives a p-adic interpolation of their critical L values in the form of integrals of distributions constructed from a given eigen function of Hecke algebras by applying BGG modules, (see also preprints [78] and [79].In particular, algebraic d......
#Automorphic forms #classical groups #p-adic L-functions #differential operators #non-archimedean weight spaces #quasi-modular forms #Fourier coefficients
Uniqueness of meromorphic mappings partially shared hypersurfaces
Tập 3 Số 12 - Trang - 2024
The purpose of this paper is to study uniqueness problem of meromorphic mapping from Cm into the complex space Pn(C) sharing partial fixed and moving hypersurfaces. Using the second main theorems due to S. D. Quang and D. P. An [12, 13], we obtain some uniqueness results. Our results are improved some before results in this trend. In our best knowledge, there are not any uniqueness results of mero......
#Hypersurfaces #Meromorphic mapping #Nevanlinna theory #Uniqueness theorem
MYTHS AND LEGENDS IN CREATING DISCOURSE ON HERITAGE: A CASE STUDY OF PO INA NAGAR TOWER (NHA TRANG, KHÁNH HÒA)
Tập 1 Số 2 - Trang 160-174 - 2021
Thiên Y A Na is a special female deity in the system of Vietnamese goddesses. On the one hand, historical ups and downs are reflected in the transition of her story; from a story about a Chăm goddess (Po Ina Nagar) to a story about a Vietnamese goddess (Thiên Y A Na). On the other hand, cultural changes, which mask discourses of power, and the cultural symbiosis phenomenon, which represents the vi......
#Myth #Legend #Po Ina Nagar #Thiên Y A Na #Cultural symbiosis
INFORMATION-LEAKAGE-FREE QUANTUM DIALOGUE VIA GREENBERGER-HORNE-ZEILINGER STATES
Tập 1 Số 4 - Trang 87-102 - 2023
Secure communication in general and secure dialogue in particular are highly demanded, especially in the current information exploding era. Here we are concerned with secure dialogue. Because any dialogue conducted merely by classical means is fully eavesdropped without traces left behind, quantum version of dialogue, the so-called quantum dialogue, offers a promising solution to the security prob......
#Quantum dialogue #GHZ states #information leakage
ON THE EQUATION F(n² + m² + k) = H(n) + H(m) + K
Tập 1 Số 4 - Trang 135-151 - 2022
We give all solutions of the equation
F(n2 + m2 + k) = H(n) + H(m) + K (∀n;m ∈ N),
where k ∈ N is the sum of two xed squares, K ∈ C and F, H are completely multiplicative functions.
#Arithmetical function #equation of functions