Blog.CarlRobitaille.org

Indiscriminate laziness

Runge phenomena

Posted on 2021/12/02 by Carl Robitaille

Polynomial interpolation at evenly-spaced nodes converges iff the function is analytic inside a football-shaped region. https://t.co/us2I1BHJ7f
— Analysis Fact (@AnalysisFact) November 30, 2021

Bouncing from the focus of one parabola to another

Posted on 2021/12/02 by Carl Robitaille

bouncing from the focus of one parabola to another pic.twitter.com/ZYUrtI7ZMA
— Matt Henderson (@matthen2) November 21, 2021

Why it’s mathematically impossible to share fair

Posted on 2021/12/02 by Carl Robitaille

Presenting your PhD thesis in 3 minutes

Posted on 2021/12/02 by Carl Robitaille

Presenting your PhD thesis in 3 minutes: Watch how well Bhargav Sanketi explains how "this really long tube [the human small intestine] fits into the relatively tiny abdominal cavity without getting knotted up." https://t.co/YBZdWhZ5Fa

More at https://t.co/mC8JNtlk4g #scicomm
— Steven Strogatz (@stevenstrogatz) November 24, 2021

Supersonic parachute deployment at ~Mach 2

Posted on 2021/12/02 by Carl Robitaille

Superb computational fluid dynamics visualization of supersonic parachute deployment at ~Mach 2 from @NASA_Supercomp

These simulations are wildly complex because the deformation of the parachute structure has to be simulated as well as the fluid dynamics pic.twitter.com/wYHO8hTwWV
— Chris Combs (iterative design enjoyer) (@DrChrisCombs) November 19, 2021

Math buildings

Posted on 2021/12/02 by Carl Robitaille

float i,e,a,l,y;vec3 p,q,d=vec3((FC.xy-.5*r)/r.y,-1);for(d.xz*=rotate2D(t*.2);i++<2e2;e=max(min(++y,-e),y-3.)){i>1e2?l=log(e+=1e-4)/1e2,d/=d,o:o+=exp(-e*1e3)/2e2;p=q+=d*e*.7;p++;y=p.y;for(a=3.;a>.04;a*=.6)p.xz*=rotate2D(5.),p=abs(p)-a,e=min(e,max(p.x,(max(p.y,p.z))));}o+=l; pic.twitter.com/Di62BkhnWi
— yonatan (@zozuar) November 19, 2021

A brief history of minimal surfaces and the ants that love them

Posted on 2021/12/02 by Carl Robitaille

A brief history of minimal surfaces and the ants that love them

A brief history of minimal surfaces and the ants that love them https://t.co/oAx1HJUq7g
— MathFeed (@MathFeed) November 17, 2021

The product of the mth and nth Chebyshev polynomials is the average of the (m + n)th and (m – n)th Chebyshev polynomials.

Posted on 2021/11/16 by Carl Robitaille

The product of the mth and nth Chebyshev polynomials is the average of the (m + n)th and (m – n)th Chebyshev polynomials.
— Analysis Fact (@AnalysisFact) November 15, 2021

xkcd: Occam

Posted on 2021/11/16 by Carl Robitaille

xkcd: Occam

Galois-Free Guarantee! | The Insolubility of the Quintic

Posted on 2021/11/11 by Carl Robitaille