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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 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 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 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
A SURVEY ON A FEW RECENT PAPERS IN 𝙋-ADIC VALUE DISTRIBUTION
Tập 1 Số 4 - Trang 27-56 - 2022
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.
A generalization of product inequality for the higher topological complexity
Tập 2 Số 8 - Trang - 2023
In [4] M. Farber defined the topological complexity TC(X) of a path-connected space X. Generalizing this notion, ten years later, Yu. Rudyak introduced a sequence of invariants, called the higher topological complexities TCn(X), for any path-connected space X in [7]. These invariants have their origin in the notion of the Schwarz genus of a fibration defined in [8]. One of the tools used to calcul......
#higher topological complexity #configuration space #Schwarz genus #product inequality.
On korenblum constants for some weighted function spaces
Tập 2 Số 8 - Trang - 2023
In this paper, we survey the results on the Korenblum Maximum Principle for some weighted function spaces. Progress and results discussed include the upper bounds and lower bounds of Korenblum constants, as well as the failure of the principle for weighted Bergman spaces, weighted Hardy spaces, weighted Bloch spaces, weighted Fock spaces, and mixed norm spaces. Existing and new open questions are ......
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
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