Suppose a contradiction were to be found in the axioms of set theory.
Do you seriously believe that a bridge would fall down?
~Frank P Ramsey
@infinitymath

Jewish Problems
Tanya Khovanova, Alexey Radul
This is a special collection of problems that were given to select applicants during oral entrance exams to the math department of Moscow State University. These problems were designed to prevent Jews and other undesirables from getting a passing grade. Among problems that were used by the department to blackball unwanted candidate students, these problems are distinguished by having a simple solution that is difficult to find. Using problems with a simple solution protected the administration from extra complaints and appeals. This collection therefore has mathematical as well as historical value.
http://arxiv.org/abs/1110.1556
@infinitymath

New largest prime number
@infinitymath

The largest known prime number has been discovered by a computer at a university in Missouri in the US
@infinitymath

فرض کنید یک شبکه با ۲۵ نقطه (مرتب شده در ۵ سطر و ۵ ستون) داشته باشیم. آیا می‌توانید ۵ دایره رسم کنید که از همه نقاط بگذرند؟
👇👇👇👇👇👇👇👇
@infinitymath

کتاب سازی به شیوه لمبرت
http://alef.ir/vdcevo8wwjh8nzi.b9bj.html?259182
می‌توانید خبرنامه شماره ۱۳۰ انجمن ریاضی ایران را نیز ببینید

S - A + F = 1 (S: vertexes A: sides F: areas)
@infinitymath

How to represent the curve of the square root of a function p(x)?
@infinitymath

How to represent the curve of the square root of a function p(x)?

When p(x) is positive, you can plot it easily.
We have : g(x) = sqrt(p(x)) plotted in the real plane.

But when the function p(x) is negative ?
p(x)<0
0<-p(x)
p(x)=-(-p(x))
then
f(x) = sqrt{p(x)} = sqrt{-(-p(x))}
f(x)= sqrt{i².(-p(x))} = i.sqrt{-p(x)}

By taking the square root of the additive inverse of p(x), it will be possible to plot f(x) which wil be will be drawn in the imaginary plane.

@infinitymath

A mathematician's reputation rests on the number of bad proofs he has given.
~Abram S Besicovitch
@infinitymath

Reuleaux triangle
@infinitymath

شکلی هندسی را پهنا ثابت گویند که پهنای آن در همه جهات یکسان باشد. ساده ترین شکل با پهنای ثابت دایره است. پهنای یک دایره با شعاع r برابر با 2r است. ساده ترین شکل با پهنای ثابت که دایره نیست مثلث رولو نام دارد. 👆👆👆👆👆👆
قضیه باربیر: همه شکل های پهنای ثابت با پهنای برابر با r دارای محیط یکسان هستند.
@infinitymath