Next year teaching

I have been developing a graduate math course on ‘Information theory and its application to A.I.’ However, due to some departmental needs, it is likely that I will end up teaching Mathematical Analysis I for undergraduates and Real Analysis for graduates. The ‘Real Analysis‘ course will contain certain essential parts of ‘Functional Analysis.’

Thanks, all.

I would like to thank al for celebrating my birthday: from the left, Inmo Lee, Taehoon Kim, Dr. Rezzy Eko Caraka, myself, Tselmuun Munkhjin, Miji Kim. (Tselmuun is not my student, but prof. Jung’s. Prof. Jung and I share the same graduate lab space.) By the way, Nov. 21st is not my birthday. ๐Ÿ™‚ They did it earlier because Dr. Caraka was going to attend conferences in Indonesia.

Computational Microscopy

I am attending IPAM workshop series on ‘Computational Microscopy’ this week at IPAM, UCLA: workshop II (Oct. 24 – 28) was on ‘Mathematical Advances for Multi-dimensional Microscopy’ and workshop III (Nov. 14 – 18) is on ‘Cryo-Electron Microscopy and Beyond.’

You can watch the talks in workshop II in the IPAM youTube channel. (You may find me or hear me in one of the talks asking a question.) The talks in workshop III will be up on youTube as soon as the workshop ends.

It is wonderful to see how the field has been evolving and maturing. Especially, I was impressed by the VAE approach for the continuous model of atomic distribution for conformational changes. There are still quite a few uncertain aspects of the consequences because we do not know what the latent variables really represent. Nevertheless, I am quite happy to see that it is opening up a new chapter in the field with the help of A.I.

In front of IPAM (Institute for Pure and Applied Mathematics) with my student, T. Kim.

์ด ์‹ฌ๋ฆฌํ•™์ž๊ฐ€ ๋งํ•˜๋Š” ๊ฟˆ์„ ๊ฐ€์ ธ์•ผ ํ•˜๋Š” ์ด์œ ..

๋‚ด๊ฐ€ ์ง€๋„ํ•™์ƒ๋“ค๊ณผ์˜ ์ฒซ ๋งŒ๋‚จ์—์„œ ๋Š˜ ๋ฌป๋Š” ์งˆ๋ฌธ์ด ์žˆ๋‹ค. “๋„ˆ๊ฐ€ ๊ฐ€์ง„ ๊ฟˆ์ด ๋ฌด์—‡์ด๋ƒ?”
This is one question that I ask my M.S. or Ph.D. students when we first meet them: what is your dream?

๊ฟˆ๊ณผ ๋ชฉํ‘œ์— ๋Œ€ํ•ด ํ—ท๊ฐˆ๋ฆฌ๋Š” ํ•™์ƒ๋“ค์ด ๋งŽ๋‹ค. ๋Œ€๋ถ€๋ถ„์€ ๊ฟˆ์— ๋Œ€ํ•˜์—ฌ ๋ฌผ์—ˆ๋Š”๋ฐ, ๋‹จ๊ธฐ ๋ชฉํ‘œ์— ๋Œ€ํ•œ ์–˜๊ธฐ๋ฅผ ์ฃผ๋กœ ํ•œ๋‹ค. ์ผ๋ฐ˜์ ์œผ๋กœ๋Š” ๊ฟˆ์ด ์—†๋‹ค. ๋ฌด์—‡์ด “๊ฟˆ”์ธ์ง€ ์ž˜ ๋ชจ๋ฅด๋Š” ๊ฒƒ ๊ฐ™๊ธฐ๋„ ํ•˜๋‹ค. ๋ชจ๋‘๊ฐ€ ๋„ˆ๋ฌด๋‚˜ ์–ด๋ฆฐ ๋‚˜์ด์— ํ˜„์‹ค์ ์ด์ธ ์‚ฌ๋žŒ์ด ๋˜์–ด ๋ฒ„๋ ธ๋‹ค.
Many students do not seem to understand what makes dreams different from goals. Many had told me their short term goals such as jobs. It seems to me that our society had stopped asking students to dream big or even giving them chances to dream big.

๊ฟˆ์ด ๋ฐฅ๋จน์—ฌ ์ฃผ๋ƒ๊ณ  ๋ง์„ ํ•  ์ˆ˜๋„ ์žˆ๊ฒ ์ง€๋งŒ, ๊ฟˆ์„ ๊พธ๋Š” ๊ฒƒ์€ ์ Š์€์ด๋“ค์˜ ํŠน๊ถŒ์ด๋ผ ์ƒ๊ฐํ•œ๋‹ค. ๊ฟˆ์ด ํฌ๋“  ์ž‘๋“  ๊ทธ ๊ฟˆ์„ ํ–ฅํ•ด ๋‹ฌ๋ ค๊ฐ€๋ฉด ๋‹น์—ฐํžˆ ์‹คํŒจ๋ฅผ ํ•˜๋Š” ์ˆœ๊ฐ„์ด ์žˆ์„ ๊ฒƒ์ด๊ณ , ๊ทธ ์‹คํŒจ๋ฅผ ํ†ตํ•ด์„œ ์‚ฌ๊ณ ์˜ ๊นŠ์ด์™€ ๋„ˆ๋น„๊ฐ€ ํ™•์žฅ์ด ๋˜๋ฉฐ, ๋‹ค๋ฅธ ์ด๋“ค์„ ๋ฐฐ๋ คํ•˜๊ณ  ํ˜‘๋™ํ•˜๋Š” ๋ฒ•์„ ๋ฐฐ์šฐ๊ฒŒ ๋˜์ง€ ์•Š์„๊นŒ ์‹ถ๋‹ค. ๊ทธ๋ฆฌ๊ณ  ์ Š์€์ด๋“ค์ด ๊ฟˆ์„ ๊พธ๋ฉฐ ์‹คํŒจํ•ด๋„ ๋‹ค์‹œ ์ผ์–ด์„ค ์ˆ˜ ์žˆ๋„๋ก ํ™˜๊ฒฝ์„ ๋งŒ๋“ค์–ด ์ฃผ๋Š” ๊ฒƒ์ด ๊ธฐ์„ฑ์„ธ๋Œ€๊ฐ€ ๋‹ค์Œ ์„ธ๋Œ€๋ฅผ ์œ„ํ•ด ํ•ด์•ผ ํ•  ๋งค์šฐ ์ค‘์š”ํ•œ ์ผ์ธ๊ฒƒ ๊ฐ™๋‹ค. ์–ด์ฐŒ๋ณด๋ฉด ๊ธฐ์„ฑ์„ธ๋Œ€๋“ค์ด, ๊ทธ๋ฆฌ๊ณ  ํ˜„์žฌ์˜ ๊ต์œก์ฒด๊ณ„๊ฐ€ ์ Š์€์ด๋“ค์ด ๊ฟˆ์„ ๊พธ์ง€ ๋ชปํ•˜๋„๋ก ์•Œ๊ฒŒ ๋ชจ๋ฅด๊ฒŒ ๋ฐฉํ•ด๋ฅผ ํ•˜๊ณ  ์žˆ์ง€๋Š” ์•Š์€์ง€…

๋‚˜๋Š” ๊ทธ๋ž˜๋„ ๊ฟˆ์„ ๊ฟ€ ์ˆ˜ ์žˆ๋Š” ์‹œ๋Œ€์— ์‚ด์•˜๋˜ ๊ฒƒ ๊ฐ™๋‹ค. ๋‚ด๊ฐ€ ํ•™์ƒ๋“ค์—๊ฒŒ ๊ฟˆ์ด ๋ฌด์—‡์ด๋ƒ๊ณ  ๋ฌป๊ณ , ๋” ํฐ ๊ฟˆ์„ ๊พธ๋ผ๊ณ  ๋ง์€ ํ•˜์ง€๋งŒ, ๊ทธ๋Ÿฌํ•œ ๋ง์„ ํ•˜๊ธฐ๊ฐ€ ๋ฏธ์•ˆํ•œ ์‹œ๋Œ€์ธ ๊ฒƒ ๊ฐ™๋‹ค. ๊ทธ๋Ÿผ์—๋„ ๋ถˆ๊ตฌํ•˜๊ณ  ๊ฟˆ์„ ๊พธ๋ผ๊ณ  ๊ณ„์† ๋งํ•ด์ฃผ๊ณ  ์‹ถ๋‹ค.

์œ„ ์˜์ƒ์˜ ๋‚ด์šฉ์ฒ˜๋Ÿผ, ๋‚ด ์•ž์— ๋†“์—ฌ์ง„ ๋„๊ตฌ๋ฅผ(ํ™˜๊ฒฝ์„) ๋จผ์ € ๋ณด๊ณ  ๋‚˜์˜ ๊ฟˆ์„ ์ œํ•œํ•˜๊ธฐ ๋ณด๋‹ค๋Š”, ๋‚ด๊ฐ€ ๋จผ์ € ๊ฟˆ์„ ๊พธ๊ณ  ๊ทธ ๊ฟˆ์„ ์œ„ํ•ด ํ•„์š”ํ•œ ๋„๊ตฌ๋ฅผ ์ฐพ๊ณ , ๊ฟˆ์„ ์ด๋ฃฐ ์ˆ˜ ์žˆ๋Š” ํ™˜๊ฒฝ์„ ์ฐพ์•„๊ฐ€๋Š” ํ•™์ƒ๋“ค์ด ๋งŽ์•„์ง€๋ฉด ์ข‹๊ฒ ๋‹ค.

Sir Roger Penrose & William Lane Craig : The Universe

Sir Roger Penrose is a mathematical physicist who is a Nobel Laureate, and whose name is in the Moore-Penrose pseudoinverse of a matrix.

Sir Roger Penrose thinks of himself as an atheist. Nevertheless, he says that there has to be a much deeper purpose of the universe. The universe is not purposeless. He even believes that there is something before the Big Bang. It is quite interesting to hear an atheist saying that something is there. I hope he will end up with seeking God, himself.

William Lane Craig is a Christian philosopher, supporting the existence of God by various reasons including scientific ones, astrophysics, cosmology, etc.

Andrea Bocelli

I like his voice, especially at his old age. It feels so comforting. As a side note, Andrea Bocelli lost his sight at the age of 12.

I would also like you to enjoy this man’s great voice while doing the homework. ๐Ÿ™‚ You may find yourself relaxed and energized to finish your homework early. ๐Ÿ™‚

This first song was sung with his little daughter Virginia Bocelli.

The second song was sung with Celine Dion.

The third song was sung with Luciano Pavarotti who spotted Bocelli’s talent and stayed supportive of him. They are about 20 years apart.

Most people don’t know how bikes work.

What these people haven’t considered is that we can make a turn by simply leaning towards the direction to which we want to make a turn. You don’t have to turn the handle bar first to the left to go left. You can simply let your body lean to the left. You will see yourself naturally turning the handle bar to the left while leaning to the left not to fall. No need to turn the handle bar slightly to the right first as you can see in the video. ๐Ÿ™‚

Nevertheless, I find it very interesting to see that a bike can balance itself not to fall downhill without a rider due to the particular geometry of the bike.