Symbol n
n is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.
Read this term in its guide →Published equation contexts
Why this formula appears here
The cap set problem sits inside a branch of combinatorics concerned with how large a set of points can get before it is forced to contain a forbidden pattern. For cap sets the forbidden pattern is a three-term arithmetic progression: three distinct points whose coordinates sum to zero mod three. Mathematicians want to know how the size of the largest cap set in n dimensions grows as n grows, and the honest answer, as of this writing, is that nobody knows exactly — they know it grows like for some constant c , and they know c is trapped between roughly 2.2208 and roughly 2.756, a gap that has resisted closing for over a decade [ 7 , 5 ] . The lower end of that bracket is itself a short…
Read the representative guide
How to interpret it
Read this expression with the definitions, units, and assumptions supplied by the article.
Research cited beside this formula
Published contexts (1)
A symbol can carry a different meaning in another article. Each occurrence keeps its own guide and term definitions.
Equation 9 · Technological Evolution
FunSearch Found New Mathematics Without Ever Understanding the Problem
This mathematical expression combines the displayed quantities; its precise role follows from the surrounding article text.
The cap set problem sits inside a branch of combinatorics concerned with how large a set of points can get before it is forced to contain a forbidden pattern. For cap sets the forbidden pattern is a three-term arithmetic progression: three distinct points whose coordinates sum to zero mod three. Mathematicians want to know how the size of the largest cap set in n dimensions grows as n grows, and the honest answer, as of this writing, is that nobody knows exactly — they know it grows like for some constant c , and they know c is trapped between roughly 2.2208 and roughly 2.756, a gap that has resisted closing for over a decade [ 7 , 5 ] . The lower end of that bracket is itself a short…
Equation guide → · Article →