Question

To prove a theorem that establishes this property, one considers the average of the first n-plus-1 Dirichlet kernels. Normal families are defined in terms of a weakening of this property called “[this property] on compact subsets.” This property of a sequence of Cesàro means that it is guaranteed for continuous periodic functions by a result of Fejér (“FEH-yair”). This property is implied by a weaker one on a set of nearly full measure by (*) Egoroff’s (10[1])theorem. Boundedness and equicontinuity of a sequence implies the existence of a subsequence with this property (10[1]-5[1])by the Arzela–Ascoli (10[1])theorem. The (-5[1])limit of a sequence of continuous functions with this property is necessarily continuous. In this property's definition, the choice of N is dependent on epsilon, (10[1])but is independent of x. (10[1])For 10 points, name this property that is often contrasted with the weaker pointwise convergence. (10[1])■END■ (10[2])

ANSWER: uniform convergence [accept word forms like uniformly convergent; accept word forms of uniform at the end; prompt on word forms of convergence] (The lead-in describes the Fejér kernel.)
<Arya Karthik, Other Science - Mathematics>
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Buzzes

PlayerTeamOpponentBuzz PositionValue
Eric MukherjeeCurse you, Periplus the Platypus!Hang et al., Robert Browning7310
Jerry VinokurovTeach Us to Outgrow Our LadnessEvans Hall destruction awaiters89-5
Rein OtsasonThe CanadiansDon't be Afraid, the Clown's Afraid Too8910
Conor Thompson[moderator voice] yes that is so tenpointscore! is your team feeling bonuspilled?The anti-STOON-dahl cabal (the tall Keyal et al.)9210
John Marvinremembrance of lost timeI would prefer not to94-5
Eric Bobrowwave2: trimming membership codes 9655377758gpSaint Peter Andre 300011910
Vincent DuQuasicrystal SilenceTeam Name Think Detail12410
Swapnil GargEvans Hall destruction awaitersTeach Us to Outgrow Our Ladness13910
Kevin WangI would prefer not toremembrance of lost time14010
Raul PassementRomanos IV Diogenes’ Macaroni GrillThe Catastrophic Implosion of Packet Sub14010

Summary

2023 Chicago Open08/05/2023Y8100%0%25%114.50