f05 bio1a

1/3 hydrosys (splitting) <-> condensation (polymerizing) needs energy $\Delta$G > 0

2/3 amino acid = NH${}_2$amino group + COOH carboxyl + sidechain

amino acid can be protonated

glutamic acid == glutamate

quantum 1

E = c p <--- E = h f , p = h / $\lambda$, f $\lambda$ = c
space of states
 classic mechanics ... 'set' space
 quantum mechinics ... 'vector' space (over C:complex number Hilbert space)
  abstract 'vector' space <-> 'pointer' (position, velocity over R:real number)
  'vector' collection of things
| a > ket 'vector'
$\alpha$ |a> = |b>   ; $\alpha$ arbitrary complex number
|a> + |b> = |c>
$\alpha$|a> + $\beta$|b> = |c'>

$\psi(x) = \psi_R(x) + i \psi_I(x)$ set of complex function values forms complex 'vector' space over C

column vectors
${a_1;a_2;a_3;a_4} + {b_1;b_2;b_3;b_4}$ a_# b_# arbitrary Complex number

"Complex number itself is complex number space"

Dual space

Lecture 1 | Modern Physics: Quantum Mechanics (Stanford)

数学的な物理法則へのアプローチ。metaphysical
F=maの形で経験則があることが(位置、速度)のふたつの量が必要であることをphase spaceを使って説明している。

Lecture 1 | Modern Physics: Classical Mechanics (Stanford)

bio 1a / 1

Diamond and Kashyap on the Recent Financial Upheavals - Freakonomics Blog - NYTimes.com

おもしろそうで読みやすいので、また時間があるとき続きを読む
Diamond and Kashyap on the Recent Financial Upheavals - Freakonomics Blog - NYTimes.com

chem1a lec 43

acid = accepter
isomer (positions different) <=> resonant structure
amphiprotic
CO2 oxidized form of C
CH# reduced form of C

chem1a lec 42

emission = heat in, light out
blackbody emission
absorption = light in, heat out (light out?)
UV/x-ray  break bonds
visible excites valence electrons
...
radio waves flips spins