Question

A topological space has this property if and only if there exist disjoint neighborhoods around any two disjoint points (-5[1])in the space. (-5[1])Urysohn’s lemma gives necessary and sufficient conditions for a topological space to have this property. The Frenet-Serret (“freh-NAY seh-RAY”) frame contains two objects (15[1])named for this property. The left and right cosets of a (*) subgroup with this property are necessarily equal, so quotient groups may only (10[1])be constructed over a subgroup with this property. Groups with this property are invariant under conjugation. The final step in the Gram-Schmidt (-5[1])process is to divide all the outputted orthogonal vectors by their magnitude so that they (10[1])have this property. (10[1]-5[1])For 10 points, identify this word which describes vectors that are perpendicular to a given surface. (10[1])■END■ (0[3])

ANSWER: normal [accept normality; accept orthonormal vectors; accept normal groups; accept normal spaces; accept binormal vectors; accept normal vectors]
<MH, Other Science>
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2023 ILLIAC (Cornell)2023-10-21Y475%75%50%48.67
2023 ILLIAC (Mainsite)2023-10-21Y863%13%50%87.00

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PlayerTeamOpponentBuzz PositionValue
Will HoustonChicago BWUSTL18-5
Leo TaoMichigan BOhio State C21-5
Jeremy CummingsWUSTLChicago B4215
Ezra SantosChicago CSIUE B6510
Eylon CaplanPurdue AMissouri87-5
Biyang ZhangMichigan AOhio State B10210
Matt SchiavonePurdue BOhio State A10510
David NickelPurdue CChicago A105-5
Doug SachsMissouriPurdue A12110
Robert CondronChicago APurdue C1220
Francesco ScivittaroChicago DSIUE A1220
Jacob GoodsonOhio State CMichigan B1220