Tạp chí Khoa học Thăng Long

  2734-9837

 

  Việt Nam

Cơ quản chủ quản:  Trường Đại học Thăng Long

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Các bài báo tiêu biểu

Hoàng Xuân Sính’s thesis: Categorifying Group Theory
Tập 2 Số 8 - 2023
Baez John C.
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 structuresallow the study of symmetries that themselves have symmetries. After abrief account of how Hoàng Xuân Sính wrote her thesis, we explain someof its main results, and its context in the history of mathematics.
#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
Ueda Shinya
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 with Southeast Asian multi-household compounds and indicate that paternal kinship groups (dòng họ) were formed from cohabitation groups based on bilateral descent owing to the spread of patrilocal marriage with the popularization of Confucianism in the early modern period.Although abundant village documents still exist in Vietnam, they have not been fully utilized as historical materials owing to a lack of cooperation with anthropologists. The analysis in this article incorporates anthropological as well as historical perspectives and offers new possibilities for the utilization of village documents.
#Early Modern Vietnam #Lineage #Multi-household compound #Confucianism #Village documents
A NEW CLASS OF UNIQUE RANGE SETS FOR MEROMORPHIC FUNCTIONS IGNORING MULTIPLICITY WITH 15 ELEMENTS
Tập 1 Số 4 - Trang 103-115 - 2022
Hoai An Vu
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 blockchain-based Certificate Management System using the Hyperledger Fabric Platform
Tập 2 Số 8 - Trang - 2023
Trần Quang Duy, Minh Hoang Trong
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 blockchain technology, the traditional paper certificate management process has changed to a new stage with massive benefits and opportunities to overcome the above challenges. Following this approach, many blockchain-based applications have been proposed, and several universities worldwide have adopted various solutions based on blockchain technology. This paper presents implementing an educational certificate management system based on blockchain technology using the Hyperledger Fabric platform. Our proposed solution can be solved in almost storage and security aspects of certificate management problems, such as confidence, verification, ownership, and tamper avoid.
A survey on solution approaches for the equilibrium problem defined by the nikaido-isoda-fan inequality
Tập 2 Số 8 - 2023
Muu Le Dung, Jean Jacques Strodiot, Xuan Thanh Le
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 problem. Finally, as an application, we consider the famous Cournot-Nash oligopolistic equilibrium model and discuss algorithms for solving it.
#Nikaido-Isoda-Fan equilibrium problem #variational inequality #Cournot-Nash equilibrium model
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
Thi An Tran
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 vitality of ancient beliefs in spite of the deepening and spreading roots of new beliefs, can be observed from an analysis of performing practices of the Po Ina Nagar/Thiên Y A Na cult.Using theories on folklore genres, including myths and legends, and cultural symbiosis theory as well as the concepts of “discourse” and “invented tradition,” this paper critically analyzes the use of myths and legends in the creation of discourse, identifies the impact of discourses of power on the formation and transformation in the tangible and intangible heritage complex of Tháp Bà Po Ina Nagar (Nha Trang, Khánh Hòa), and confirms that cultural symbiosis has brought about heritage cohesion and encouraged the enduring vitality of the religious life of local communities.
#Myth #Legend #Po Ina Nagar #Thiên Y A Na #Cultural symbiosis
OPTIMALITY CONDITIONS FOR EFFICIENCY OF CONSTRAINED VECTOR EQUILIBRIUM PROBLEMS
Tập 1 Số 4 - Trang 67-85 - 2023
Van Luu Do, Thi Mai Tran
Fritz John necessary conditions for local Henig and global efficient solutions of vector equilibrium problems involving equality, inequality and set constraints with nonsmooth functions are established via convexificators. Under suitable constraint qualications, Kuhn-Tucker necessary conditions for local Henig and gobally efficient solutions are derived. Note that Henig and global efficient solutions of (VEP) are studied with respect to a closed convex cone. Sufficient condition for Henig and globally efficient solutions are derived under some assumptions on asymptotic semiinvexityinfne of the problem. Some illustrative examples are also given.
#Local Henig efficient solution #local global solution #vector equilibrium problems #Fritz John and Kuhn-Tucker necessary conditions #convexificators
NONAUTONOMOUS ATTRACTORS FOR YOUNG DIFFERENTIAL EQUATIONS DRIVEN BY UNBOUNDED VARIATION PATHS
Tập 1 Số 4 - Trang 117-134 - 2022
Thanh Hong Phan
We prove the existence of the pullback attractor of the generated ow by a dissipative nonautonomous diferential equations driven by unbounded variation paths under the condition of smallness of nonlinear term. In case perturbed term is linear we prove that the attractor is singleton and also is forward one.
#stochastic di erential equations (SDE) #Young integral #rough path theory #rough differential equations #exponential stability
A SURVEY ON A FEW RECENT PAPERS IN 𝙋-ADIC VALUE DISTRIBUTION
Tập 1 Số 4 - Trang 27-56 - 2022
Alain Escassut
In this article, we propose to present several recent results: a new proof of the p-adic Hermite-Lindemann Theorem, a new proof of the p-adic Gel'fond-Schneider Theorem, exceptional values of meromorphic functions and derivatives and the p-adic Nevanlinna theory applied to small functions. We first have to recall the definitions of the p-adic logarithm and exponential.
ON THE EQUATION F(n² + m² + k) = H(n) + H(m) + K
Tập 1 Số 4 - Trang 135-151 - 2022
Imre Kátai, B. M. M. Khanh, B. M. Phong
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