Question
Sabine Hossenfelder’s book “Lost in [this field]” discusses how its “Beauty Leads Physics Astray.” For 10 points each:
[10e] Name this general field whose advancements include Newton’s development of calculus.
ANSWER: mathematics [accept maths or arithmetic; accept Lost in Math: How Beauty Leads Physics Astray]
[10h] In his Lecture on the principle of least action, Feynman motivates this field with “a new kind” of problem. This field of calculus finds paths corresponding to extreme values with tools like the Euler–Lagrange equation and the Beltrami identity.
ANSWER: calculus of variations [or variational calculus; prompt on variational methods]
[10m] Calculus of variations is used to minimize the time integral of the Lagrangian, which is the Legendre transform of this quantity. This quantity equals the total energy in a system.
ANSWER: Hamiltonian [prompt on H]
<Lalit Maharjan, Science - Physics> ~23363~ <Editor: David Bass>
Data
Summary
| Tournament | Edition | Exact Match? | Heard | PPB | Easy % | Medium % | Hard % |
|---|---|---|---|---|---|---|---|
| 2024 PACE NSC | 06/08/2024 | Y | 36 | 15.56 | 100% | 44% | 11% |