## Contact

As the title says, this blog is mainly a list of math problems. It all started as a notebook in which I wrote some of the problems I encountered and which seemed worthy to remember. Since the notebook was too small to eventually contain every interesting problem, I decided to make an online version of it. There might be some posts which can not be considered problems, as course notes, or presentation of a subject I’m interested in. Most, but not all, problems posted here have complete solutions or hints. Still, there are problems for which I haven’t written a solution, or for which I don’t know a solution (like some of the Miklos Schweitzer competition or the Open page). I hope I could present here a glimpse of the beauty of math, and that the problems presented will be helpful, inspiring and motivating in learning math.

If you have any questions, remarks, critics don’t hesitate to leave a comment or to contact me at **beni22sof[at]yahoo[dot]com**

If you’re interested check out my CV/Resume page and my Piano page. Also, there is a Problem List page where you can see the statements of the problems (not finished yet).

A new page was created, where I’ll post problems found in books or Internet for which I don’t have solutions yet. If you like a challenge try the Open page.

Thanks for reading my blog. Check out the Blogroll links for more math-related interesting blogs/websites.

Multe felicitari pentru realizari! Tine-o tot asa!

Multumesc 🙂

Nu este nicio problema. Vom colabora pe partea de traduceri.

Daca doresti sa incepem un proiect dupa 1.07.2011 astept un e-mail

Dear Beni Bogosel

My first treatment of your non-standard geometry problem on math stackexchange contained a serious mistake (the function has period , not ). The edited version gives a hopefully correct proof that the constant is .

Christian Blatter

Thank you very much. 🙂

La revue mensuelle Quadrature 91 Janvier marts 2014 pose page 47 E355.

En la cherchant je suis tombé sur votre question sur le site stackexchange.

Dans votre article p 3 on peut vérifier que f1 ety f2 sont additives

https://mathproblems123.files.wordpress.com/2010/07/strange-functions.pdf

Il y a aussi http://dml.cz/bitstream/handle/10338.dmlcz/131848/MathSlov_48-1998-2_7.pdf

et l’article de 1968 du Roumain Jaroslav Smital

Je suis très intéréssé par toute autre référence précise

LGV

The monthly Quadrature 91 January 2014 laying marts page 47 E355.

In the book I came across your question on StackExchange site.

In your article p 3 we can verify that f1 f2 and y are additive

https://mathproblems123.files.wordpress.com/2010/07/strange-functions.pdf

There is also http://dml.cz/bitstream/handle/10338.dmlcz/131848/MathSlov_48-1998-2_7.pdf

and Article 1968 of the Romanian Jaroslav Smital

I am very interested in any specific reference

LGV

Hello. I do not have acces at the Quadrature magazine you quote. In my pdf file you quote I don’t think that and are additive, but I remember seeing a proof of the fact that each additive function can be written as a sum of additive functions with Darboux property. I don’t know if that is what you are looking for.

If you want to clarify the question or ask me anything else, I’m available.

Vidiani Fontaine Les Dijon : je suis en effet très intéressé par la preuve que toute fonction additive est la somme de deux fonctions vérifiant la propriété de Darboux.

Vidiani

http://georges.vidiani.perso.sfr.fr/

Voir article 16 de http://culturemath.ens.fr/maths/html/juel/juel.html