By✵Your✵Side

영원히 소녀시대 |
Researcher | Senior Lecturer | Taijiquan practitioner | PhD

[By✵Your✵Side @ting__ss]

勿忘初心，少女時代就是我的榜樣。每個人都會有機會走偏，但走偏後，需要一盞明燈指引。我的明燈，就是少女時代。曾經帶我走出低潮期的。少女們即使攀上高峰，卻還是一直維持自己的初心，保持良好的態度。

[By✵Your✵Side @ting__ss]

Happy 19th Anniversary for Girls'Generation

#SNSD

[By✵Your✵Side @ting__ss]

I'm coming, Risa! I can't express how I feel about being able to listen to Risa live. You know the feeling the first time I listened to her voice? It's about 16 years ago! Today, I still love her songs. See you in 7 June🤟

#LiSA #Risa #LiVEisSmileAlways

[By✵Your✵Side @ting__ss]

难道今天记得是太妍生日。祝太妍生日快���🎉 太妍是我很喜欢的歌手，每次听到她的歌声，我都会陷入她的声音里，一歌一世界
#HappyTaeyeonDay

[By✵Your✵Side @ting__ss]

@SamuelGWalters 4. trace A*A = trace AA* implies A*A has exactly k nonzero zero eigenvalues which is 1. Hence, A*A is idempotent.

[By✵Your✵Side @ting__ss]

@SamuelGWalters 3. A* maps injectively on the eigenvectors of AA*, hence, A*A has k linearly independent eigenvectors with eigenvalue 1. For example, if u is a non zero eigenvector of AA*, then A*A(A*u) = A*u.

[By✵Your✵Side @ting__ss]

@XenaProject @ICERM Congratulations 👏👏👏

[Dr. Lin Meng @Linmengmet]

My Lab is recruiting a postdoc and Ph.D. students studying vegetation dynamics under climate change and human activities at @VanderbiltU. Includes remote sensing, #GEE, #urbantree, #fire, #lightpollution, and modeling. Please RT & thanks!

For details: https://t.co/BKRdaZmfuV

[By✵Your✵Side @ting__ss]

Wow, this book provide different view from the books I read before.

[By✵Your✵Side @ting__ss]

If i consider the more general case, abelian group of abelian homomorphism, it turns out that this abelian group consists of linear map over the underlying field. To write the proof, I need a careful analysis on the indices.

[By✵Your✵Side @ting__ss]

I am counting dimension of certain vector spaces. Based on previous results, it should be 17. But, actual counting give me 18. I wonder what happens to the extra 1 dimension 🤔
Should there be new structure come out?

[By✵Your✵Side @ting__ss]

@amo1003 好胖🤣🤣🤣

[By✵Your✵Side @ting__ss]

@amo1003 早安~

[By✵Your✵Side @ting__ss]

@littmath @NilesTopologist @KamerynJW Using tikz, you can draw the shape as "smooth" as you want, using more steps to the curve. Normally, in my situation, 200 steps was enough to produce smooth curve.

[By✵Your✵Side @ting__ss]

@amo1003 🤣🤣🤣

[By✵Your✵Side @ting__ss]

@amo1003 我可以理解這感覺，每次去書店會買一大堆書，然後只看幾本，其餘的也是覺得終有一天會看的😝

[By✵Your✵Side @ting__ss]

@amo1003 買來收藏嗎？🤔

[By✵Your✵Side @ting__ss]

@kuelshammer @SamuelGWalters Thanks for your words! It was quite obvious in the view of representation theory. I didn't realized it until you point out