Question

Elements of Skorokhod spaces have this property “on the right” and are càdlàg (“cod-log”). The Picard–Lindelöf theorem applies when the derivative of a solution to an O·D·E has this property in t and has a form of this property in y that is defined in terms of the Lipschitz constant. (20[2])The Cantor staircase (20[1])function (20[1])has this property, (0[1])but (20[1])not its “uniform” (20[1])type. (20[3])The (*) epsilon–delta (10[2])definition (0[1])of this property (10[3]0[3])is (0[1])generally (10[1])equivalent (10[1])to its definition as a function (0[1])being equal to its limit (10[1])at every point. (10[1]0[1])The Weierstrass (10[3])(“VIE-er-strahs”) function (10[1])is a counterexample to the assertion that functions with this property are also differentiable. (10[2])For 10 points, (10[1])name this property that is roughly equivalent (10[1])to being able to draw the graph of a function without lifting the pen. (10[1])■END■ (10[8])

ANSWER: continuity [or continuous; accept Lipschitz continuity or uniform continuity]
<Steven Yuan, Science - Math&gt; ~25050~ &lt;Editor: David Bass>
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2023 PACE NSC06/10/2023Y35100%26%0%85.54

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PlayerTeamOpponentBuzz PositionValue
Michael KarpovBarrington ARockford Auburn A4820
Ali HamzehKinkaidUniversity Lab4820
Camden WilliamsMexicoParkway West5120
Aneesh SwaminathanPlymouthDallas County5220
Aryan PathakLake HighlandCincinnati Hills Christian550
Nate MrozDetroit Catholic Central CDetroit Catholic Central B5620
Kaushik GollamudiBarrington BMaggie Walker C5920
Rohan DalalJohns Creek BWinnebago6020
Sam MacchiBelmontHunter A6020
Jiaxu LiuDetroit Country DayThomas Jefferson A6020
Aakash SanjayJohns Creek ADunbar6210
Vardhan AgnihotriSt. Mark'sWinston Churchill A6210
Joseph ChenRichard MontgomeryDetroit Catholic Central A630
Sky HongChoate Rosemary HallChattahoochee A6610
Kaiwen XiaoIrvington AHeights6610
Geo BeachNew BrightonHinsdale Central660
Alec RisoThomas Jefferson BMira Loma660
Ian MannWalter PaytonThomas Jefferson D660
Yaj JhajhriaCanyon CrestWoodland6610
Yash SaxenaMaggie Walker AWilliam Fremd670
Devesh KumarMaggie Walker BRockford Auburn B6810
Charles HeydtMidtownLincoln-Way East6910
Claudio Bastiani-FonckWinston Churchill BStevenson A750
Aaryan SumeshThomas Jefferson CNorthmont A8010
Armaan AhmedMercer CountyHoover B830
Dennis YangTroySolon8310
Thomas BelcherSaint JosephStevenson B8510
Kevin AdlerNorthmont BWest Point8510
David BertolasiBelvidereWashington8510
Adhav RavikumarInnovation Academy ACarl Sandburg8610
Tarun DeviChattahoochee BCarbondale10010
Jacob BartaDetroit Catholic Central ARichard Montgomery10010
Max KoldaJohn Adams AInnovation Academy B10310
Safal SapkotaElkhorn NorthHunter B11010
Jiming ChenHinsdale CentralNew Brighton12410
Ben HorningWaukeeMoberly12510
Jingyi WuStevenson AWinston Churchill B12510
Justin YangNormanJohn Adams B12510
Clete ReinbergerCincinnati Hills ChristianLake Highland12510
Dwij BhattWilliam FremdMaggie Walker A12510
Aatreyo BhattacharyyaMira LomaThomas Jefferson B12510
Sanjay RanjithThomas Jefferson DWalter Payton12510
Isaac McCollumHoover BMercer County12510