Related papers: An Elementary Proof for Ljunggren Equation

In this note, we present a simple directed graph proof of Sharkovsky's theorem.

We prove Burkholder inequality using Bregman divergence.

In this paper we give an elementary proof of the Zariski-Lipman conjecture for log canonical spaces.

A new proof for adjoint systems of linear equations is presented. The argument is built on the principles of Algorithmic Differentiation. Application to scalar multiplication sets the base line. Generalization yields adjoint inner vector,…

In this article, we give a proof on the Arnold-Chekanov Lagrangian intersection conjecture on the cotangent bundles and its generalizations.

We illustrate the concept of mathematical proof.

In this short paper we review and extract some features of the Fredholm Alternative problem .

We give a new elementary proof of existence and uniqueness of a solution to the Sylvester equation $AX-XB=Y$

We give an elementary and constructive proof for a theorem of de Smit et Lenstra. Note: In version 1, was missing the proof that "completely secant" implies "1-secant"

We discuss a version of the fundamental theorem of calculus in several variables and some applications, of potential interest as a teaching material in undergraduate courses.

We present an elliptic version of Selberg's integral formula.

In this paper, we establish a doubling argument to obtain Hessian estimates for the special Lagrangian equation under general phase constraints. In particular, our approach does not rely on the Michael-Simon mean value inequality. As an…

We give an exponential lower bound for Berge-Ramsey problems.

A short and elementary proof of the joint convexity of relative entropy is presented, using nothing beyond linear algebra. The key ingredients are an easily verified integral representation and the strategy used to prove the Cauchy-Schwarz…

We give a survey of the Lagrange inversion formula, including different versions and proofs, with applications to combinatorial and formal power series identities.

In this note we shall give a new proof to a quadrature formulae due to Newton.

We study a generalized Abreu equation and derive some estimates.

In this paper, we prove a Morse index theorem for the index form of regular Lagrangian system with selfadjoint boundary condition.

The note contains a short elementary proof of Cayley's formula for labeled trees.

We give a new proof of Chen-Lin result with Li-Zhang method.