happy sailing
squiggle
Sep
18th
Thu
2014
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quantumaniac:

Formerly Unknown Mathematics Professor Receives “Genius Grant”

The MacArthur Fellows Program, commonly known as the “Genius Grant” just announced their recipients for 2014. As always, they are extremely impressive experts at the top of their respective fields - but for me, one in particular stuck out.

The Simons Foundations starts telling the story like this: 

On April 17, a paper arrived in the inbox of Annals of Mathematics, one of the discipline’s preeminent journals. Written by a mathematician virtually unknown to the experts in his field — a 50-something lecturer at the University of New Hampshire named Yitang Zhang — the paper claimed to have taken a huge step forward in understanding one of mathematics’ oldest problems, the twin primes conjecture.

Unknown ‘experts’ are always making similarly large claims to prestigious institutions, but this paper was different. The reception Zhang received was incredible: “The main results are of the first rank,” the author had proved “a landmark theorem in the distribution of prime numbers.”

Zhang was a researcher that no one seemed to know, his talents had been overlooked his entire career: “after he earned his doctorate in 1991 that he had found it difficult to get an academic job, working for several years as an accountant and even in a Subway sandwich shop.”

“Basically, no one knows him,” said Andrew Granville, a number theorist at the Université de Montréal. “Now, suddenly, he has proved one of the great results in the history of number theory.”

Read more about Zhang’s incredible discovery here and here.  

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Sep
13th
Sat
2014
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generalelectric:

Isa Arfen’s ready-to-wear Spring 2015 collection featured 60’s inspired looks, including a standout dress made from guipure circle lace with studded geometric lines. Although the 1960’s pre-dates the existence of this technology by about a decade, the solderless breadboard exhibits a distinct likeness to the dress in question. This board allows one to experiment and prototype electronic circuits without the use of metal soldering of wires between components. The conversion of Isa Arfen’s dress to a wearable breadboard would create the perfect hybrid of high fashion and technology.

- Chris Ing, freshphotons.com | #iOnFashion, NYFW 2014

(via freshphotons)

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cyberpunk-culture:

1993-2014

(via grinderbot)

Sep
11th
Thu
2014
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nappynomad:

socialjusticekoolaid:

The Ferguson City Council convened for the first time since Mike Brown’s death, and proved that they literally give no fucks about what the community has to say. Added to their vague, paltry proposed reforms, seems real change will have to come in Ferguson via the ballot box. I don’t care where you live folks— let this be a lesson in voting/participating in your local elections and government! #staywoke #farfromover 

My people getting it!

(via jessehimself)

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(Source: adamferriss)

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fogo-av:

mentalalchemy:

nezua:

fnhfal:

Ferguson -2014

I blinked one day and when I opened my eyes, it was normal to have an American army battling Americans on American streets. No one even calls it a war. But it is.

Don’t forget this crazy shit actually happened.

Don’t forget this shit is STILL happening

(via toostoked)

Sep
9th
Tue
2014
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brucesterling:

*It’s won a moral victory, no matter the inevitable end

brucesterling:

*It’s won a moral victory, no matter the inevitable end

(Source: trigonometry-is-my-bitch, via mostlysignssomeportents)

Sep
8th
Mon
2014
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brucesterling: *Strange how much press Napoleon and the Nazis get when they just sort of flicker by and vanish 

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nevver: Staring at the Sun, [to scale]

nevver: Staring at the Sun, [to scale]

(via emergentfutures)

Sep
5th
Fri
2014
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theclassyissue:

Kanye West’s Full Performance at PHILLY’s “Made in America” Festival, August 30, 2014

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(Source: k8gma2mo10, via toostoked)

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fouriestseries:

Taylor Series Approximations
A Taylor series is a way to represent a function in terms of polynomials. Since polynomials are usually much easier to work with than complicated functions, Taylor series have numerous applications in both math and physics.
There are many equations in physics — like the one describing the motion of a pendulum — that are impossible to solve in terms of elementary functions. “Approximations using the first few terms of a Taylor series can make [these] otherwise unsolvable problems” solvable for a restricted area of interest [1].
The GIF above shows the five-term Taylor series approximation of a sine wave about x=0.
Mathematica code:
f[x_] := Sin[x]
ts[x_, a_, nmax_] := 
    Sum[(Derivative[n][f][a]/n!)*(x - a)^n, {n, 0, nmax}]
Manipulate[Plot[{f[x], ts[x, 0, nmax]}, {x, -2*Pi, 2*Pi}, 
    PlotRange -> {-1.45, 1.45}, 
    PlotStyle -> {{Thick, Cyan}, {Thick, Dotted, Yellow}}, 
    AxesStyle -> LightGray, Background -> Darker[Gray, 0.8]], 
    {nmax, 1, 30, 1}]

fouriestseries:

Taylor Series Approximations

A Taylor series is a way to represent a function in terms of polynomialsSince polynomials are usually much easier to work with than complicated functions, Taylor series have numerous applications in both math and physics.

There are many equations in physics — like the one describing the motion of a pendulum — that are impossible to solve in terms of elementary functions. “Approximations using the first few terms of a Taylor series can make [these] otherwise unsolvable problems” solvable for a restricted area of interest [1].

The GIF above shows the five-term Taylor series approximation of a sine wave about x=0.

Mathematica code:

f[x_] := Sin[x]
ts[x_, a_, nmax_] := 
    Sum[(Derivative[n][f][a]/n!)*(x - a)^n, {n, 0, nmax}]
Manipulate[Plot[{f[x], ts[x, 0, nmax]}, {x, -2*Pi, 2*Pi}, 
    PlotRange -> {-1.45, 1.45}, 
    PlotStyle -> {{Thick, Cyan}, {Thick, Dotted, Yellow}}, 
    AxesStyle -> LightGray, Background -> Darker[Gray, 0.8]], 
    {nmax, 1, 30, 1}]

(via visualizingmath)

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