One on Epsilon

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One on Epsilon

One on Epsilon

@OneOnEpsilon

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

Katılım Eylül 2016
511 Takip Edilen2.8K Takipçiler
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One on Epsilon
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? epsilonstream.com/blog/powers-of…
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James Tanton
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?
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James Tanton
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?
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James Tanton
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.
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James Tanton
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?
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Statistical Society of Australia
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! statsoc.org.au/event-3888909
Statistical Society of Australia@StatSocAus

2⃣Want to learn #Julia programming? Register for the online workshop with Yoni Nazarathy (@ynazarathy)! 📅 24 & 27 July 9-12.30PM AEST **Early bird registration ends 11th July!** statsoc.org.au/event-3888909

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Think Twice
Think Twice@thinktwice2580·
Controlling the rotation of hemispheres with a sine wave.
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Anonymous
Anonymous@YourAnonCentral·
Australia under increasing cyberattacks from a “sophisticated state-based cyber actor,” pointing towards China trying to hack all levels of the government, political bodies, essential service providers, and operators of critical infrastructure. eurasiantimes.com/australia-to-i…
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Lewis Mitchell
Lewis Mitchell@lewis_math·
Have been using Facebook mobility data to map social distancing and how it changes in Australia at maths.adelaide.edu.au/lewis.mitchell…. tl;dr: social distancing has been gradually waning over the past 3 weeks or so, across all states.
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James Tanton
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. youtu.be/y3HxU4WMvdA @GlobalMathProj
YouTube video
YouTube
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James Tanton
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?
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James Tanton
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?
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Keşfet

@ynazarathy @UQBrisScience @UQscience @YourAnonCentral @SkyNewsAust @ScottMorrisonMP @ASRC1 @StatSocAus