Search found 597 matches

by Tolaso J Kos
Thu Oct 03, 2019 9:01 am
Forum: LaTeX code testings
Topic: xy.jax
Replies: 4
Views: 8762

xy.jax

$$\xymatrix{ U \ar@/_/[ddr]_y \ar@/^/[drr]^x \ar@{.>}[dr]|-{(x,y)} \\ & X \times_Z Y \ar[d]^q \ar[r]_p & X \ar[d]_f \\ & Y \ar[r]^g & Z }$$ $$\xymatrix{\boxed{\text{cases}}\ar@/^/[dr]!U|1\ar@/^/[drr]!U|2\ar@/^/[drrr]!U|3\ar@/^/[drrrr]!U|4\\&*+[F]\txt{x}&*+[F]\txt{x\\x}&*+...
by Tolaso J Kos
Tue Oct 01, 2019 12:35 pm
Forum: Blog Discussion
Topic: Pythagoras' theorem 3D version
Replies: 0
Views: 4936

Pythagoras' theorem 3D version

Pythagoras' theorem 3D version by Tolaso J Kos The one theorem that almost anyone who has ever studied Mathematics remembers is the Pythagoras’ theorem. It is the most well-known theorem for about 2,500 years now and has allowed the mankind to evolve in a myriad of ways. Its applications are limitl...
by Tolaso J Kos
Sun Sep 29, 2019 1:36 pm
Forum: Meta
Topic: Welcome to the new and improved mathimatikoi.org
Replies: 7
Views: 32230

Re: Welcome to the new and improved mathimatikoi.org

An equation editor has been integrated along our software installation. Now we can launch the Equation Editor , typeset our formulae there and copy - paste them in our post.
by Tolaso J Kos
Tue Sep 24, 2019 1:09 pm
Forum: Archives
Topic: Mathematical newspaper
Replies: 1
Views: 6217

Mathematical newspaper

A new mathematical newspaper is now issued. Check it out at this web address.
by Tolaso J Kos
Sun Sep 22, 2019 8:48 am
Forum: Geometry
Topic: Isometry
Replies: 1
Views: 6184

Re: Isometry

The uniqueness part is easy. Since $\varphi$ is clearly continuous (in fact Lipschitz with constant $1$) it suffices to prove that $\varphi$ is affine i.e. $$\varphi\left(\frac{x+y}{2}\right)=\frac{\varphi(x)+\varphi(y)}{2}$$ So fix $x,y$ and let $z=\frac{x+y}{2}$. Then $x-z=z-y=\frac{x-y}{2}$ and h...
by Tolaso J Kos
Sun Sep 22, 2019 8:20 am
Forum: Meta
Topic: Welcome to the new and improved mathimatikoi.org
Replies: 7
Views: 32230

Re: Welcome to the new and improved mathimatikoi.org

We have re-installed most of the languages the old forum was running. These include: British English German ( Casual Honorifics ) Greek Italian Japanase Mandarin Chinese ( Traditional Script ) Portuguese Spanish ( Casual Honorifics ) Some languages , like Polish for example , have not been updated t...
by Tolaso J Kos
Sat Sep 21, 2019 6:01 pm
Forum: Meta
Topic: Welcome to the new and improved mathimatikoi.org
Replies: 7
Views: 32230

Re: Welcome to the new and improved mathimatikoi.org

Greetings, as many of you know mathimatikoi.org is an international forum so it needs to have integrated quite some languages. Unfortunately , during the upgrade many of the languages were broken so they have to be replaced by their respective files. Please be patient while the procedure is still go...
by Tolaso J Kos
Sat Sep 21, 2019 4:57 pm
Forum: Meta
Topic: Welcome to the new and improved mathimatikoi.org
Replies: 7
Views: 32230

Welcome to the new and improved mathimatikoi.org

Please discuss the announcement here.
by Tolaso J Kos
Sun Dec 23, 2018 5:59 pm
Forum: Archives
Topic: A collection of problems in Analysis
Replies: 4
Views: 6833

Re: A collection of problems in Analysis

Greetings, the current version of the booklet " A collection of problems in Analysis" is out. This is version $11$. Milestone of $500$ exercises is reached , so this new version does not contain any new exercises. However, a new appendix about the Pisot numbers has been added to the bookle...
by Tolaso J Kos
Thu May 24, 2018 6:16 pm
Forum: Algebra
Topic: GDPR compliance
Replies: 0
Views: 24502

GDPR compliance

Dear members and guest of mathimatikoi.org community, as many of you are probably aware the European Union launches on May 25, 2018 a new law under the name $2016/679$ regarding the privacy policy of personal data. We would like to seize this moment to inform you how we handle your personal data: Al...