One on Epsilon (@oneonepsilon) 's Twitter Profile
One on Epsilon

@oneonepsilon

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

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linkhttps://www.oneonepsilon.com calendar_today03-09-2016 03:29:53

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Lewis Mitchell (@lewis_math) 's Twitter Profile Photo

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.

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.
James Tanton (@jamestanton) 's Twitter Profile Photo

It is poss to divide a square into 3 pieces of equal area & equal area; or into 3 pieces of equal area with equal portions of the square's perimeter. Possible to divide a square into 3 pieces with equal perims & equal portions of the square's perimeter? With all three features?

It is poss to divide a square into 3 pieces of equal area & equal area; or into 3 pieces of equal area with equal portions of the square's perimeter. Possible to divide a square into 3 pieces with equal perims & equal portions of the square's perimeter? With all three features?
James Tanton (@jamestanton) 's Twitter Profile Photo

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?

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?
James Tanton (@jamestanton) 's Twitter Profile Photo

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?

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?
James Tanton (@jamestanton) 's Twitter Profile Photo

Oh what fun to do tie-folding with such a fabulous community of high-schoolers in the DC metro area! John Chase For those curious, here's the unsolved math (Artin's conjecture) behind the scenes. youtu.be/y3HxU4WMvdA The Global Math Project

Oh what fun to do tie-folding with such a fabulous community of high-schoolers in the DC metro area! <a href="/mrchasemath/">John Chase</a> For those curious, here's the unsolved math (Artin's conjecture) behind the scenes. youtu.be/y3HxU4WMvdA <a href="/GlobalMathProj/">The Global Math Project</a>
Yoni Nazarathy (@ynazarathy) 's Twitter Profile Photo

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). BrisScience UQ Science science.uq.edu.au/event/session/…

Statistical Society of Australia (@statsocaus) 's Twitter Profile Photo

[EARLY BIRD REMINDER] Online workshop with Yoni Nazarathy Yoni Nazarathy on #Julia for Statistics and Data Science. Early bird registration ends tomorrow! statsoc.org.au/event-3888909

James Tanton (@jamestanton) 's Twitter Profile Photo

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?

Given an a-by-b rectangle, a square of the same perimeter has side the arithmetic mean of a &amp; b; the same area, the geometric mean of a &amp; b; the same diagonal, the quadratic mean of a &amp; b. A square of side the harmonic mean of a &amp; b has what in common with the original rectangle?
James Tanton (@jamestanton) 's Twitter Profile Photo

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.

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.
James Tanton (@jamestanton) 's Twitter Profile Photo

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?

Some kind of average A(a,b) of two numbers a and b should at least:  
i) always be a value between a &amp; 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) 's Twitter Profile Photo

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?

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?