Symbol S
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The problem’s ceiling, meanwhile, moved by a route with no evolutionary search in it at all. Meshulam’s finite-field version of Roth’s 1953 density-increment argument, tightened by Bateman and Katz, and then reset by Jordan Ellenberg and Dion Gijswijt’s application of the polynomial method — adapting, by the surveying authors’ own account, “the algebraic argument” Croot, Lev and Pach had introduced one step earlier — delivered the field’s best-known ceiling on how large a cap set can possibly be [ 5 ] . That sequence of results, and the lower-bound sequence beside it, is the independent confirmation this article needed that FunSearch’s contribution is recognized by the field on its own…
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Symbol n
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Equation 3 · Technological Evolution
A Cap Set Needed No World to Be True In, Only a Checker to Accept It
This equation states a bound: one expression must stay on the indicated side of the other under the article’s assumptions.
The problem’s ceiling, meanwhile, moved by a route with no evolutionary search in it at all. Meshulam’s finite-field version of Roth’s 1953 density-increment argument, tightened by Bateman and Katz, and then reset by Jordan Ellenberg and Dion Gijswijt’s application of the polynomial method — adapting, by the surveying authors’ own account, “the algebraic argument” Croot, Lev and Pach had introduced one step earlier — delivered the field’s best-known ceiling on how large a cap set can possibly be [ 5 ] . That sequence of results, and the lower-bound sequence beside it, is the independent confirmation this article needed that FunSearch’s contribution is recognized by the field on its own…
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