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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.
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
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.
OPTIMALITY CONDITIONS FOR EFFICIENCY OF CONSTRAINED VECTOR EQUILIBRIUM PROBLEMS
Tập 1 Số 4 - Trang 67-85 - 2023
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 soluti...
#Local Henig efficient solution #local global solution #vector equilibrium problems #Fritz John and Kuhn-Tucker necessary conditions #convexificators
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