Search found 597 matches
- Thu Oct 03, 2019 9:01 am
- Forum: LaTeX code testings
- Topic: xy.jax
- Replies: 4
- Views: 14923
xy.jax
$$\xymatrix{ U \ar@/_/[ddr]_y \ar@/^/[drr]^x \ar@{.>}[dr]|-{(x,y)} \\ & X \times_Z Y \ar[d]^q \ar[r]_p & X \ar[d]_f \\ & Y \ar[r]^g & Z }$$ $$\xymatrix{\boxed{\text{cases}}\ar@/^/[dr]!U|1\ar@/^/[drr]!U|2\ar@/^/[drrr]!U|3\ar@/^/[drrrr]!U|4\\&*+[F]\txt{x}&*+[F]\txt{x\\x}&*+...
- Tue Oct 01, 2019 12:35 pm
- Forum: Blog Discussion
- Topic: Pythagoras' theorem 3D version
- Replies: 0
- Views: 8095
Pythagoras' theorem 3D version
Pythagoras' theorem 3D version by Tolaso J Kos The one theorem that almost anyone who has ever studied Mathematics remembers is the Pythagoras’ theorem. It is the most well-known theorem for about 2,500 years now and has allowed the mankind to evolve in a myriad of ways. Its applications are limitl...
- Sun Sep 29, 2019 1:36 pm
- Forum: Meta
- Topic: Welcome to the new and improved mathimatikoi.org
- Replies: 7
- Views: 71506
Re: Welcome to the new and improved mathimatikoi.org
An equation editor has been integrated along our software installation. Now we can launch the Equation Editor , typeset our formulae there and copy - paste them in our post.
- Tue Sep 24, 2019 1:09 pm
- Forum: Archives
- Topic: Mathematical newspaper
- Replies: 1
- Views: 10715
Mathematical newspaper
A new mathematical newspaper is now issued. Check it out at this web address.
Re: Isometry
The uniqueness part is easy. Since $\varphi$ is clearly continuous (in fact Lipschitz with constant $1$) it suffices to prove that $\varphi$ is affine i.e. $$\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...
- Sun Sep 22, 2019 8:20 am
- Forum: Meta
- Topic: Welcome to the new and improved mathimatikoi.org
- Replies: 7
- Views: 71506
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...
- Sat Sep 21, 2019 6:01 pm
- Forum: Meta
- Topic: Welcome to the new and improved mathimatikoi.org
- Replies: 7
- Views: 71506
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...
- Sat Sep 21, 2019 4:57 pm
- Forum: Meta
- Topic: Welcome to the new and improved mathimatikoi.org
- Replies: 7
- Views: 71506
Welcome to the new and improved mathimatikoi.org
Please discuss the announcement here.
- Sun Dec 23, 2018 5:59 pm
- Forum: Archives
- Topic: A collection of problems in Analysis
- Replies: 4
- Views: 9756
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...
- Thu May 24, 2018 6:16 pm
- Forum: Algebra
- Topic: GDPR compliance
- Replies: 0
- Views: 60140
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...