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Image source: http://www.reddit.com/r/gif/comments/1qm8tw/fireworks/ Image source: http://mathforum.org/mathimages/index.php/Envelope Image source: http://mathforum.org/mathimages/index.php/Envelope visualizingmath:To those who celebrate it, Happy Independence Day! Enjoy the parabolic envelopes that form while those bright, sparkling, parabolic curves are etched into the sky tonight…

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I was planning to blog this Fourth of July something about Independent variables, given the nature of the day, but something else came up. I was reading Twitter, which I do way more often than is probably healthy, and I saw another image posted (or reposted) by Jo Morgan (@mathsjem), which was a simple puzzle with 7 circles, arranged in 2 columns of three and an extra circle in the middle, such that there were three lines of numbers. The center circle was filled in with a number and you had
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The law \( {P_n} \) of a random vector \( {X=(X_1,\ldots,X_n)} \) on a product space \( {\mathbb{S}^n} \) is exchangeable when it is invariant by permutation of the coordinates: \[ \forall f:\mathbb{S}\rightarrow\mathbb{R},\quad \forall\sigma\in\Sigma_n,\quad \int\!f\,dP_n=\int\!f_\sigma\,P_n \] where \( {f_\sigma(x):=f(x_\sigma)} \) and \( {x_\sigma:=(x_{\sigma(1)},\ldots,x_{\sigma(n)})} \), and where \( {\Sigma_n} \) is the symmetric group formed by […]

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There is no smallest among the small and no largest among the large,But always something still smaller and something still larger.Quoted in E Maor, To Infinity and Beyond: a Cultural History of the InfiniteThe 186th day of the year; 186 is the product of the first four primes less; the product of the first four positive integers (7 x 5 x 3 x 2 - 4 x 3 x 2 x 1 = 186) . *Prime Curios EVENTSIn 1643, an exceptionally strong wind occurred in Essex County, Mass. The description by Governor John […]

jesusem tweeted: @jesusem

Hola راقصة الغربية gracias por seguirme!

2015-07-05 06:58:07

MindAfterMath tweeted: @MindAfterMath

Examples of the Binary Search Algorithm http://t.co/wQGgw9i3Nx #compsci #datascience #math #stem #mathchat

2015-07-05 05:34:53

simonjob tweeted: @simonjob

RT @mathslinks: Watch a 4 minute video introducing the new Lists feature on MathsLinks. https://t.co/AFmSciHWLg

2015-07-05 05:29:27

loronegro tweeted: @loronegro

Definitivamente el Hola está varios grados más abajo que el Alarma.

2015-07-05 04:17:22

loronegro tweeted: @loronegro

RT @Pajaropolitico: Zabludovsky, fundador (de los noticiarios de televisión abierta) en México/
...de la manipulación de la realidad...

2015-07-05 04:08:11

loronegro tweeted: @loronegro

Pareciera que el gobierno griego sí es verdaderamente de izquierda.
#OXI

2015-07-05 03:57:03

MindAfterMath tweeted: @MindAfterMath

2015-07-05 03:34:48

Mr_Ulrich_UW tweeted: @Mr_Ulrich_UW

RT @thereaIbanksy: you are more than your mistakes

2015-07-05 02:59:39

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