Date: 07/03/2026
What subject(s) I've studied: Geometry I, Analysis II
Favourite fact I've learned: The Cauchy-Schwarz inequality is just a special case of Hölder's inequality for $ p = q = 2 $
Favourite equation: $||x||_p = \Big ( \displaystyle\sum^n_{i=1} |x_i|^p\Big)^{1/p} $ (p-norm)
Something I need to revise: Matrix diagonalisation
Something I've not understood: How certain functions in $x,y,z$ represent curves $\gamma \big(f(x),g(y),h(z) \big)$
A mistake to avoid making: Leaving other subjects behind (but I truly needed to catch up on Analysis)
Favourite piece of media: This lovely, jazzy study playlist
Note to self: Overall it was a productive week, but sadly it's still not enough