Equation 5 · Part 2 · A Cap Set Needed No World to Be True In, Only a Checker to Accept It
Symbol n
What this part means
n is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.
Its job in the formula
n is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.
Full expression→Symbol n→Article meaning
The passage around this formula
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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A variable is a named place for a value. Its letter is a local label: x can mean position in one formula and a data point in another.
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Sources cited in the surrounding passage
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