Question

An infinite hierarchy of quantities with this property arises from the Korteweg–de Vries (“COR-tuh-veg-duh-VREEZ”) equation because it is fully integrable. In most scenarios, the Poisson bracket of the Hamiltonian with quantities with this property equals zero. Quantities conjugate to “cyclic” (0[1])or “ignorable” coordinates of a Lagrangian (“luh-GRONZH-ee-un”) have this property. (20[1])The correspondence of quantities with this property to differentiable symmetries of the action (20[1])is described by (*) Noether’s (10[1])theorem (10[3]0[1])(“NUR-turz”). By definition, (10[1]0[1])kinetic energy (10[1])has this property (10[2])in elastic (10[2])collisions. (10[11])In the absence (10[4])of (10[1])external forces, (10[1])momentum has this property because its time derivative equals zero. For 10 points, name this property of quantities that do not change as a (10[1])system (10[1])evolves. (10[1])■END■ (10[3])

ANSWER: constant [or conserved; accept descriptions of quantities that are time-invariant, like quantities that do not depend on time; accept constants of motion]
<Joseph Krol, Science - Physics&gt; ~25434~ &lt;Editor: David Bass>
= Average correct buzz position

Summary

2023 PACE NSC06/10/2023Y35100%6%0%78.09

Buzzes

PlayerTeamOpponentBuzz PositionValue
Ali HamzehKinkaidUniversity Lab380
Michael KarpovBarrington ARockford Auburn A4720
Shreyas SinghUniversity LabKinkaid6020
Charles HeydtMidtownLincoln-Way East6410
Joshua FanRichard MontgomeryDetroit Catholic Central A650
Sam MacchiBelmontHunter A6510
Anvith VanukuriWilliam FremdMaggie Walker A6510
Dylan ChengThomas Jefferson ADetroit Country Day6510
Aneesh SwaminathanPlymouthDallas County6710
Sohum SukhatankarSt. Mark'sWinston Churchill A670
Aakash SanjayJohns Creek ADunbar6910
Aatreyo BhattacharyyaMira LomaThomas Jefferson B7210
Sanjay RanjithThomas Jefferson DWalter Payton7210
Evan LinWoodlandCanyon Crest7410
Anthony ChalhoubDetroit Catholic Central BDetroit Catholic Central C7410
Ryan DaiCarbondaleChattahoochee B7510
Jingyi WuStevenson AWinston Churchill B7510
Kyunghwan LimChattahoochee AChoate Rosemary Hall7510
Rohan DalalJohns Creek BWinnebago7510
Vincent WangIrvington AHeights7510
Hatice CaliskanCarl SandburgInnovation Academy A7510
Brielle RachRockford Auburn BMaggie Walker B7510
Yashwanth BajjiTroySolon7510
Aaryan SumeshThomas Jefferson CNorthmont A7510
Kaushik GollamudiBarrington BMaggie Walker C7510
Aryan PathakLake HighlandCincinnati Hills Christian7510
Miles SierraWaukeeMoberly7810
Jeffrey LiuHinsdale CentralNew Brighton7810
Nolan KingElkhorn NorthHunter B7810
David BertolasiBelvidereWashington7810
Armaan AhmedMercer CountyHoover B7910
Thomas BelcherSaint JosephStevenson B8110
Anna RosatoJohn Adams AInnovation Academy B10510
Anish JindalParkway WestMexico10610
Jacob BartaDetroit Catholic Central ARichard Montgomery10710
Andy YuWinston Churchill ASt. Mark's10810
Kevin AdlerNorthmont BWest Point10810
Eavan KellyJohn Adams BNorman10810