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ymas;  

Fluorescent tracer dyes used to measure drainage system characteristics in valley glaciers, Greenland

Ice Tracers

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fob;  

Hayley Williams for Rolling Stone by Lindsey Byrnes [x]

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miserydesigns:

Save Rock And Roll

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fob;  

transperceneige:

Pure spanish horse, by Juliane Meyer.

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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}]
Jul 31st • 211  • reblog  • via 
maths;  

succulentthighs:

Do you ever just like flex your foot wrong and it cramps and you’re just like this is it, this is how it ends 

Jul 30th • 580868  • reblog  • via • source
MEGAN;  text;  
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brxkenpeople:

13/ favorite photos of tyler joseph

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21p;  

alfienajax:

The boys are all tucked in for bed :)

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countryff4171:

Dat mane tho

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wtvr-blog:

Same

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