One on Epsilon

The makers of the free Epsilon Stream Platform - Watch, Play and Explore Mathematics. Daily tweets feature great mathematics videos.

[One on Epsilon @OneOnEpsilon]

A cool calculation that you can do with your kids, hints that about 1000 years ago, each of us had around 8 billion ancestors. However it is estimated that around the year 1000 AD, there were only about 300 million people in the world. How does that work?

https://t.co/W742qeoxkL

[James Tanton @jamestanton]

Some kind of average A(a,b) of two numbers a and b should at least:
i) always be a value between a & b
ii) satisfy A(a,b) =A(b,a)
iii) satisfy A(ka,kb)=kA(a,b).
If A(a,b) behaves like an average, must f^(-1)(A(f(a),f(b)) behave like one too for any invertible function f?

[James Tanton @jamestanton]

Prove that each positive integer point on the vertical axis is collinear with two points with integer coordinates on the curve of the y = -x^2 graph. With how many such pairs is the point (0,1000) collinear?

[Emi Tanaka @[email protected] @statsgen]

Finished day 1 of learning #julialang from @ynazarathy 👩‍💻
And for myself, I have to check that Julia works with #rmarkdown (it does!)

[James Tanton @jamestanton]

A self-referential die has faces labeled with fractions so that the chance of seeing the fraction you roll is the fraction you see. There are four 6-sided SR dice. There are zero 2-sided SR dice (coins). For world fame, find an explicit formula for the number of N-sided SR dice.

[Dr. Chris Rackauckas @ChrisRackauckas]

A very good high level talk by @ynazarathy on SafeBlues, an application of #julialang and #sciml for combating COVID-19 https://t.co/lR2F4YxiQZ

[James Tanton @jamestanton]

Given an a-by-b rectangle, a square of the same perimeter has side the arithmetic mean of a & b; the same area, the geometric mean of a & b; the same diagonal, the quadratic mean of a & b. A square of side the harmonic mean of a & b has what in common with the original rectangle?

[Statistical Society of Australia @StatSocAus]

[EARLY BIRD REMINDER] Online workshop with Yoni Nazarathy @ynazarathy on #Julia for Statistics and Data Science. Early bird registration ends tomorrow!

https://t.co/50EXotjb0b

[Think Twice @thinktwice2580]

Controlling the rotation of hemispheres with a sine wave.

[Yoni Nazarathy @ynazarathy]

Join me for this in a few hours. #SafeBlues #COVID19Aus

[Yoni Nazarathy @ynazarathy]

Join me for a public (Zoom) lecture on COVID modeling and the Safe Blues idea. Monday 6:30pm, Brisbane Time (mid morning in Israel and Europe, and sleeping time in the US). @UQBrisScience @UQscience
https://t.co/yD3EXfiHkp

[One on Epsilon @OneOnEpsilon]

@YourAnonCentral Better ways for defense:
https://t.co/LzEDBLpkrV

[One on Epsilon @OneOnEpsilon]

@SkyNewsAust @ScottMorrisonMP Better ways for long term defense...
https://t.co/LzEDBLpkrV

[Yoni Nazarathy @ynazarathy]

40% of the proceeds (my share) will be donated to @ASRC1 (Asylum Seeker Resource Centre). The other part will help SSA.

[Yoni Nazarathy @ynazarathy]

Excited to present in BrisScience about #SafeBlues.

@ACEMathStats @StatSocAus

[One on Epsilon @OneOnEpsilon]

Here is the seminar of @lewis_math https://t.co/wdALAyag4a

[Patrick Sykes @mathecology]

Brilliant seminar by @lewis_math just now on social media analysis applied to COVID-19 trends.
Recording will be out shortly on https://t.co/iRjQtEew0i.

Thanks for spearheading my new favourite seminar series @OneOnEpsilon

[Lewis Mitchell @lewis_math]

Have been using Facebook mobility data to map social distancing and how it changes in Australia at https://t.co/VetovMr8S2. tl;dr: social distancing has been gradually waning over the past 3 weeks or so, across all states.

[James Tanton @jamestanton]

Oh what fun to do tie-folding with such a fabulous community of high-schoolers in the DC metro area! @mrchasemath For those curious, here's the unsolved math (Artin's conjecture) behind the scenes. https://t.co/7sJVWBalX3 @GlobalMathProj

[James Tanton @jamestanton]

Is there a rectangle that can be cut with three straight-line segments into three pieces of equal area, equal perimeter, and each possessing an equal portion the the rectangle's perimeter? If so, what are its dimensions?

[One on Epsilon @OneOnEpsilon]

And a #SafeBlues talk is here: https://t.co/txjNUVuNcX

[James Tanton @jamestanton]

It is possible to divide a square into three pieces so that all three pieces have the same area, the same perimeter, and possess the same proportion of the square's perimeter. Can the same, for sure, be done for any non-square rectangle?