Blogs about: Nghien Cứu Khoa Học
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A non-existence result for positive solutions to the Lichnerowicz equation in R^N
In this topic, adapted from a paper due to Li Ma and Xingwang Xu published in Comptes Rendus Mathematique we shall give a non-existence result concerning the following Lichnerowicz equation in , on wh… more →
Ngô Quốc Anh
A non-existence result for positive solutions to the Lichnerowicz equation in R^N
Ngô Quốc Anh wrote 5 days ago: In this topic, adapted from a paper due to Li Ma and Xingwang Xu published in Comptes Rendus Mathema … more →
A characteristic of essentially bounded functions
Ngô Quốc Anh wrote 2 weeks ago: In this topic, we prove the following statement Statement: Let be a probability space. Let . Then is … more →
The weak and weak* topologies: A few words
Ngô Quốc Anh wrote 2 weeks ago: The weak and weak* topologies are the weakest in which certain linear functionals are continuous. We … more →
Mục lục Tạp chí Thư viện số 3, 4 năm 2009
thuvientre wrote 3 weeks ago: Bạn đọc quan tâm tới Tạp chí Thư viện có thể xem mục lục của hai số mới nhất tại địa chỉ: Tạp chí th … more →
The Brezis-Lieb lemma and several applications
Ngô Quốc Anh wrote 1 month ago: What we did in this topic was just an version of the Brezis-Lieb lemma. In this topic, we will discu … more →
Strong convergence in L^p implies convergence a.e.
Ngô Quốc Anh wrote 1 month ago: This topic is to show how to prove the following statement: if converges strongly to some in , then … more →
An example of sectional curvature of sphere
Ngô Quốc Anh wrote 1 month ago: In we consider the metric We now find the sectional curvature of . Since then Now we need to calcula … more →
An introduction to Yamabe problem
Ngô Quốc Anh wrote 1 month ago: Hidehiko Yamabe, in his famous paper entitled On a deformation of Riemannian structures on compact m … more →
Moving plane method via a small example inspired by Gidas, Ni, and Nirenberg
Ngô Quốc Anh wrote 2 months ago: In this section we will use the moving plane method to discuss the symmetry of solutions. The follow … more →
QE in Department of Mathematics, National University of Singapore, August 2009
Ngô Quốc Anh wrote 2 months ago: I have just passed QE held in August 2009 for my first attendance, I hereby show you the analysis pa … more →
On a polynomials of degree n, having all its zeros in the unit dis
Ngô Quốc Anh wrote 2 months ago: I found a very useful inequality involving a polynomials of degree , having all its zeros in the uni … more →
An other limit supremum of sin function
Ngô Quốc Anh wrote 3 months ago: In the topic we showed that for any irrational the limit does not exist. In this topic, we consider … more →
The use of equivalence in measure
Ngô Quốc Anh wrote 3 months ago: In mathematics, and specifically in measure theory, equivalence is a notion of two measures being … more →
On the stability of the Runge-Kutta 4 (RK4)
Ngô Quốc Anh wrote 3 months ago: In the literature, the so-called RK4 is given as following: we first define the following coefficien … more →
The eigenvalues of a common tridiagonal matrix
Ngô Quốc Anh wrote 3 months ago: The eigenvalues of then tridiagonal matrix are and its conresponding eigenvector is Proof. Let prese … more →
Summation by parts (Abel sum formula)
Ngô Quốc Anh wrote 3 months ago: Suppose and are two sequences. Then, Using the forward difference operator , it can be stated more s … more →
Several questions involving the Vitali set
Ngô Quốc Anh wrote 3 months ago: We denote by the Vitali set which is defined as follows: We say that are equivalent, and write , if … more →
How to find a conformal mapping between the quadrants and the semidisc
Ngô Quốc Anh wrote 3 months ago: In the previous topic I show you by the following map maps onto , and is conformal. Therefore the ma … more →
An easy way to construct a conformal mapping between upper half plane and the open unit disk
Ngô Quốc Anh wrote 3 months ago: The locus is the perpendicular bisector of the line segment joining to , that is, the imaginary axis … more →
