2016년 3월 4일 금요일

Imjingak

I went to Imnjingak in Paju from Seoul.

Adress : Imjingak, 177 Imjingak-ro, Munsan-eup, Paju-shi, Kyeonggi-do, Korea
Phone No. : 031- 953- 4744


Imjingak station


Broken train and rail









Memorial tower for Aung San Terror








......

Beopgi basin

I went to Beopgi basin in Yangsan, Kyeongsangnam-do, Korea.
It would be hard to go by public transportation so I recommend taking by your own car.
It has parking lot.




Basic Information about Beopgi Basin

Adress : 340 Beopgi-ri, Dong-myeon, Yangsan-shi, Kyeongsangnam-do, Korea
Phone No. : 055-383-5379


If you want to go by public transportation, I can tell you 3 bus stops near Beopgi basin.
1. Changi Maeul (창기마을)
2. Beopgi Maeul (법기마을)
3. Gaegok (개곡)

They would be far from Beopgi basin. 
Distances from the basin are about 0.5 mile~1.4 mile ( about 800m ~2.3km ).



From Beopgi Maeul ( 법기마을 )



From Changi Mael ( 창기마을 )


From Gaegok ( 개곡 )





Pictures about Beopgi Basin


Many tall pine trees are in the park with Beopgi basin.

An interesting pine tree


The basin.
What's in that structure? haha...


A hand monster is approaching to the door!


Sunshine through branches


Y shaped


V shaped haha....



2016년 3월 3일 목요일

Green's Theorem

1. Setting


[pic 1]

Let a closed curve C be set on x,y plane.
Domain D is covered by closed curve C.

[pic 2]

Let's functions, M(x,y) and N(x,y) exist and they have partial derivatives on D.
The formula can be notated like it in [pic 2] on C.

[pic 3]

This formula can be divided like [pic 3] 
because M(x,y)dx and N(x,y)dy are on same closed curve C. 




2. Induction

2-1. Considering The Formula at X Coordinate

First, we consider the formula in [pic 2] at x coordinate.

[pic 4]

[pic 5]

We set a domain like a formula in [pic 5].

[pic 6]

So, result is like [pic 6] on x coordinate.



2-2. Considering The Formula at Y Coordinate

Next, we also consider the formula in [pic 2] at y coordinate.

[pic 7]

[pic 8]

We set a domain like a formula in [pic 8].

[pic 9]

So, result is like [pic 6] on y coordinate.





3. Conclusion

[pic 10]

We can combine same domain.
Therefore, we can prove Green's Theorem.