All notes
COMPLETE INDEX
6 notes across 6 subjects, newest first.
A new proof classifying continuous non-constant solutions of f(x+y)f(x−y)=f(x)²−f(y)² using finite-dimensional translation spaces and Lie group projections.
An equivalent characterization of continuity for functions on A ⊆ ℝ: the preimage of every open set is open in the subspace topology.
Deriving the exterior derivative of a 1-form as a 2-form in Euclidean space.
Solving the Cauchy-type functional equation f(xy)=f(x)+f(y) under monotonicity assumptions, with extensions to weaker regularity conditions such as continuity and measurability.
Balancing departure time and walking speed for a cafeteria visit: jointly minimizing queueing time, food quality loss, and penalties for excessive speed.
When exponentials get larger by exchanging the two parameters
Notes © zzj · Content: CC BY-SA 4.0 · Code: MIT · Built with Astro + Starlight