Question

Rose Yu led the development of a 2023 generative adversarial network, or GAN, for the discovery of these properties. For 10 points each:
[10m] Name these properties that correspond to elements of certain groups, like the Lorentz group. Noether's ("NURR-tuh's") theorem relates conservation laws to these properties.
ANSWER: symmetries [or symmetry; accept continuous symmetries of the action]
[10h] The GAN is named for this mathematician's "theory." The exponential map connects this mathematician's namesake algebra to groups that behave as differentiable manifolds.
ANSWER: Sophus Lie ("LEE") [or Marius Sophus Lie; accept Lie algebra]
[10e] By studying N-body simulations, LieGAN rediscovered the restricted Lorentz group and the group of these transformations. In this transformation, an object moves around its own axis.
ANSWER: rotations [accept rotate or rotating]
<Science - Physics>

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Data

TeamOpponentPart 1Part 2Part 3Total
Adlai E. Stevenson AInnovation Academy A001010
Audrain County ATMontgomery Blair A1001020
Detroit Catholic Central AStrake Jesuit A001010
FremdThomas Jefferson A10101030
Hinsdale Central ALindbergh1001020
Hunter ALexington001010
Johns CreekEastchester001010
Lambert ANorthview001010
Richard MontgomeryNorthmont1001020
Strake Jesuit BAlabama Cyber Tech1001020
Uni of Illinois LaboratoryBelmont001010
Walter Payton AWestwood001010

Summary

TournamentEditionExact Match?HeardPPBEasy %Medium %Hard %
2025 PACE NSC06/07/2025Y1215.00100%42%8%