Elementary proof

The book presents among the solved problems some classical geometric results, whose proofs are accessible within the relatively elementary techniques presented here. Hopefully these examples will encourage some readers to learn more about the topics treated here and undertake the study of classical algebraic geometry.

275p b1700001 11-02-2022 310 3   Download

We give an elementary proof of a relation, first discovered in its full generality by Korkmaz, in the mapping class group of a closed orientable surface. Our proof uses only the well-known relations between Dehn twists.

13p danhdanh27 07-01-2019 10 2   Download

In this paper, we give an elementary proof of the fact that symmetric arithmetically Cohen-Macaulay monomial curves are set-theoretic complete intersections. The proof is constructive and provides the equations of the surfaces cutting out the monomial curve.

4p danhdanh27 07-01-2019 17 1   Download

This paper is a short review of the construction of Schur modules for the general linear group GLm(C), in which we make clear some points and complete some elementary proofs.

5p blackwidow123 15-06-2018 36 1   Download

Bowen’s formula relates the Hausdorff dimension of a conformal repeller to the zero of a ‘pressure’ function. We present an elementary, self-contained proof to show that Bowen’s formula holds for C 1 conformal repellers. We consider time-dependent conformal repellers obtained as invariant subsets for sequences of conformally expanding maps within a suitable class.

55p dontetvui 17-01-2013 54 7   Download

We prove that a nonrenormalizable smooth unimodal interval map with critical order between 1 and 2 displays decay of geometry, by an elementary and purely “real” argument. This completes a “real” approach to Milnor’s attractor problem for smooth unimodal maps with critical order not greater than 2. 1. Introduction The dynamical properties of unimodal interval maps have been extensively studied recently. A major breakthrough is a complete solution of Milnor’s attractor problem for smooth unimodal maps with quadratic critical points. ...

23p noel_noel 17-01-2013 48 8   Download

In two famous papers [16], [17], Fong and Seitz showed that all finite Moufang generalized polygons were classical or dual classical. In fact, they obtained this result in group theoretical terms (classifying finite split BN-pairs), but Tits remarked the simple geometrical translation. And of course, the converse was already well known. In a search for a synthetic “elementary” proof of the Fong–Seitz result for the specific case of generalized quadrangles (which is the central and most difficult part in [16], [17]), Payne and J.A.

129p hotmoingay 04-01-2013 42 3   Download

The publisher recently asked me to write an overview of the most common subjects in a first course of Calculus at university level. I have been very pleased by this request, although the task has been far from easy. Since most students already have their recommended textbook, I decided instead to write this contribution in a totally different style, not bothering too much with rigoristic assumptions and proofs. The purpose was to explain the main ideas and to give some warnings at places where students traditionally make errors....

146p sn_buon 29-11-2012 62 2   Download

Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: Elementary proofs of two theorems involving arguments of eigenvalues of a product of two unitary matrices

6p dauphong12 08-02-2012 31 2   Download

Tuyển tập các báo cáo nghiên cứu khoa học ngành toán học tạp chí Department of Mathematic dành cho các bạn yêu thích môn toán học đề tài:Elementary Proofs for Convolution Identities of Abel and Hagen–Rothe...

5p thulanh7 03-10-2011 46 3   Download

Tuyển tập các báo cáo nghiên cứu khoa học về toán học trên tạp chí toán học quốc tế đề tài: An elementary proof of the hook formula...

14p thulanh6 15-09-2011 52 2   Download

Tuyển tập các báo cáo nghiên cứu khoa học trên tạp chí toán học quốc tế đề tài: Extending Arcs: An Elementary Proof...

5p thulanh5 13-09-2011 33 1   Download