theme by iliyon
{ & ill }

—please don’t lose that smile; dh | yg 

(Source: syofss)


Sevilla, España

what are you doing… (¬_¬)

(Source: hugtae)


you’re cute what is your face html 


Q: The relationship between INFINITE members must be good?


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}]

14. What’s your favorite lyric?
Probably all of Stand Up by BTOB, it’s such a wonderful song

16. How much kpop merchandise do you have?
Ah…mostly CDs (7, I think), a few lomo cards, plumeria’s 2014 ilhoon calendar, btob notepad, ilhoon poster, plumeria’s hq photos ;;; a beast diary, an infinite diary mmhmm that’s about it

18. Eldest or maknae?
Usually I like to think that my type is the elder, since I like older boys, but I invariably fall for maknae line boys u g h

baek seung heon has a v nice smile aaah yes


K-pop questions, put a number in my ask box and I'll answer it!
1. Your favorite group(s)?
2. Your bias?
3. Your favorite song?
4. Do you ship? If yeah, which pairing(s)?
5. Have you ever gone to a concert?
6. How long have you liked K-pop?
7. Favorite boyband?
8. Favorite girlgroup?
9. SMtown or YG entertainment?
10. How many K-pop songs do you have on your ipod/playlist?
11. Name 3 of your favorite songs sung by girlgroups.
12. Name 3 of your favorite songs sung by boybands.
13. Are you taller or shorter than your bias?
14. What's your favorite lyric?
15. Have you made fanart / written a fanfiction?
16. How much kpop merchandise do you have?
17. Do you have cons/meetings in your country, so yes, have you ever attended to one?
18. Eldest or maknae?
19. Whose birthday is close to yours?
20. Do you watch k-drama? So yes, which one is your favorite?

(Source: misoki)

baby Luhan almost get hit by a ball

(Source: cheolyans)