Related papers: Routh's Theorem for Tetrahedra
We will give several reduction theorems for Noether's problem.
In this paper an algebraic proof of Christoph's theorem is provided. This theorem from algebraic-geometry is about the existence of a finite automaton for computing coefficient of a series for an algebraic function.
A proof is given of Rosenthal's \(\ell_1\) theorem.
Recently, Baker and Norine have proven a Riemann-Roch theorem for finite graphs. We extend their results to metric graphs and thus establish a Riemann-Roch theorem for divisors on (abstract) tropical curves.
We give a new simpler proof of a theorem of Jayne and Rogers.
The Riemann-Roch theorem is of utmost importance in the algebraic geometric theory of compact Riemann surfaces. It tells us how many linearly independent meromorphic functions there are having certain restrictions on their poles. The aim of…
Roth's theorem is extended to finitely generated field extensions of $\Bbb Q$, using Moriwaki's framework for heights.
We present a proof of the Moon in a puddle theorem, and use its key lemma to prove a generalization of the four-vertex theorem.
In this paper, we provide an easy proof of the Four-colour Theorem in a special case indeed.
We expose here a short proof of Cramer's theorem in R based on convex duality.
This is an example on the cohomology of threefolds.
Reconstruction theorem for the Moufang loops is proved.
We prove a flat strip theorem for 2-dimensional ptolemaic spaces.
We propose two new proofs of the Pythagorean theorem via area rearrangement arguments starting from very simple geometric configurations. The constructions depend on an angular parameter, each choice of which yields a proof. For specific…
A novel approach to an old symmetry problem is developed. A new proof is given for the following symmetry problem, studied earlier.
An elementary proof of Bertrand's theorem is given by examining the radial orbit equation, without needing to solve complicated equations or integrals.
We prove several extensions of the Erdos-Fuchs theorem.
Here we simplify the proof of the de Rham theorem for Schwartz functions on affine Nash manifolds and generalize the result to the case of non affine Nash manifolds.
We give a proof for the fundamental theorem of algebra,using the Fredholm index phenomena
We prove a vanishing theorem for the twisted de Rham cohomology of a compact manifold.