Related papers: Another simple proof of the 1-dimensional flat cha…
A Short Course on Frame Theory.
We settle in the affirmative the Graham-Sloane conjecture.
We present an elementary proof for Ljunggren equation
In this paper, we provide an easy proof of the Four-colour Theorem in a special case indeed.
We recall the history of the proof of Seifert fibre space conjecture, as well as it motivations and its several generalisations.
We give a simple proof of Dorronsoro's theorem and use similar ideas to establish an equivalence for embeddings of vector fields.
For Fatou's interpolation theorem of 1906 we suggest a new elementary proof.
We give a simple proof of a recent result by J. Schleischitz dealing with a counterexample to the uniform Littlewood conjecture. Our construction is based on simple properties of Fibonacci numbers.
In this short exposition we provide a simplified proof of Buser's result for Cheeger's isoperimetric constant.
We present simple and direct proof to an important case of Nash-Moser-Ekeland theorem.
In the present paper, we prove that the convergence of rectifiable chains in flat norm implies the weak convergence of associated rectifiable varifolds if the limit flat chain is rectifiable and the mass converges also to the mass of limit…
We present a short proof of the Alexandrov-Fenchel inequalities for mixed volumes of convex bodies.
In this note, we give an alternate proof of the multinomial theorem using a probabilistic approach. Although the multinomial theorem is basically a combinatorial result, our proof may be simpler for a student familiar with only basic…
A vector variational principle is proved.
In this short note we present a family of counterexamples to the King's conjecture.
In this short note, we prove Hadwiger's conjecture for strongly monotypic polytopes.
In this note we provide a simple formula of general term of recurrent sequence.
We prove a theorem on how a conclusion on homological dimension of a family of coherent sheaves over a scheme can be done from homological dimension of the restriction of this family to the reduction of the base.
We present a short and self-contained proof of the extension property for partial isometries of the class of all finite metric spaces.
A very simple but useful almost sure convergence theorem of probability is given.