Related papers: Proof of the orthogonal--Pin duality
This is an elementary geometrical proof of Birkhoff theorem. It is hardly important, but the pictures behind are quite nice.
In this paper, we prove an inequality regarding the differential polynomial. This improves some recent results.
We prove a combination theorem for PD(n)-pairs.
In this note we give a detailed proof of a theorem of Aubin.
In this article using elementary school level Geometry we observe an alternative proof of Pythagorean Theorem from Heron's Formula.
Using geometric homology and cohomology we give a simple and conceptual proof of the Thom isomorphism theorem.
In this expository note we give proof of the Weierstrass gap theorem in Cohomology terminology. We analyze gap sequence for finding possible gaps and non-gaps on X.
This paper presents a short and simple proof of the Four-Color Theorem that can be utterly checkable by human mathematicians, without computer assistance. The new key idea that has allowed it and the global structure of the proof are…
The aim of this note is to prove the analogue of Poincar\'e duality in the chiral Hodge cohomology.
We announce numerous new results in the theory of orthogonal polynomials on the unit circle.
The aim of this note is to provide an intrinsic proof of the Gauss--Bonnet theorem without invoking triangulations, which is achieved by exploiting complex structures.
A novel approach to an old symmetry problem is developed. A new proof is given for the following symmetry problem, studied earlier.
In this article, we give another visual proof of $\pi^e < e^\pi$.
In this article, we give a proof on the Arnold-Chekanov Lagrangian intersection conjecture on the cotangent bundles and its generalizations.
We provide an alternative, simpler proof of the existence of thick triangulations for noncompact $\mathcal{C}^1$ manifolds. Moreover, this proof is simpler than the original one given in \cite{pe}, since it mainly uses tools of elementary…
This note points out a gap in the proof of the main theorem of the article "Birationally rigid hypersurfaces" published in Invent. Math. 192 (2013), 533-566, and provides a new proof of the theorem.
This paper is aimed to prove the strong duality theorem for continuous-time linear programming problems in which the coefficients are assumed to be piecewise continuous functions. The previous paper proved the strong duality theorem for the…
In this paper, we derive a new proof on some sharp double integral inequalities of the Hermite-Hadamard type. Our approach is mainly based on well-known Taylor's theorem with the integral remainder.
We use Priestley duality to give a new proof of the Hofmann-Mislove Theorem.
In the paper, we provide an alternative and united proof of a double inequality for bounding the arithmetic-geometric mean.