Question

Systems with this property are written as a bilinear system of constant coefficient equations for the tau function in a method created by Ryogo Hirota. Fomenko–Zieschang invariants classify systems with this property. Systems with this property admit operators L and P such that the time derivative of L (10[1])is the commutator of (10[1])L and P. Lax pairs are used when solving (10[2])systems (10[1])with this nonphysical (10[1])property (10[1])using (10[1])the inverse scattering (10[1])transform. Systems with this property remain quasiperiodic under weak perturbation in the usual statement of the KAM theorem. Trajectories in systems with the Liouville form of this property follow invariant (-5[1])tori (“TOR-eye”). Systems with this property, like the KdV equation, (-5[1])have (10[1])infinitely many conserved quantities. (10[1])For 10 points, name this property that dynamical systems have if they can be solved using (10[1])antiderivatives. (10[3]-5[1])■END■ (10[8]0[1])

ANSWER: integrable [or integral; accept completely integrable or completely integral; accept Liouville integrable or Liouville integral; accept integrability in place of “integrable”]
<Physics>
= Average correct buzz position

Summary

2025 ACF Nationals04/19/2025Y2496%0%13%101.39

Buzzes

PlayerTeamOpponentBuzz PositionValue
Rasheeq AzadNorth Carolina AChicago A4710
Cade ReinbergerRITUCF5110
Tim MorrisonStanfordColumbia A6010
Caleb OttWaterloo BPenn State6010
Andrew WangIllinois ANorthwestern6110
Swapnil GargUC Berkeley ARutgers6410
Ezra SantosChicago BTexas6510
Jeremy CummingsWUSTL AWaterloo A6610
Benjamin ChapmanToronto AIndiana6910
Rohan DalalGeorgia TechMIT99-5
Colin VeeversOttawaYale108-5
Nathan ZhangCornell AIowa State10910
David BassJohns HopkinsToronto B11310
Ryan RosenbergNYUGeorgia State12910
Todd MaslykMichiganVanderbilt13010
Isaac MammelMarylandCornell B130-5
Leo LawFloridaArizona State13010
Yrwin BatanMITGeorgia Tech13010
Anuttam RamjiUC Berkeley BBritish Columbia1310
Joseph ChambersVirginiaColumbia B13110
Jem BurchYaleOttawa13110
Henry BonWinona StateOhio State13110
Yash MandaviaIllinois BNorth Carolina B13110
Shardul RaoMinnesotaHarvard13110
Matthew WangBritish ColumbiaUC Berkeley B13110
Parth JagtapToronto CVirginia Tech13110
June YinWUSTL BLSE13110