Equation 3 · Part 1 · A Showdown Ladder Rating Measures the Ladder, Not the Player
Symbol d^2
What this part means
a variance term built from the same g() and expected-score factors, \{0, 0.
Its job in the formula
is squared: multiply the underlying quantity by itself. The square is a mathematical operation, not a second independent variable.
Full expression→Symbol d^2→Article meaning
Where the article explains it
where is a variance term built from the same g() and expected-score factors, \{0, 0.5, 1\} is the outcome of game j , and between rating periods the deviation itself grows on a fixed schedule, = , clamped to Showdown’s own configured ceiling of 130 rather than Glickman’s generic default ceiling of 350 [ 2 , 3 ] .
The passage around this formula
where is a variance term built from the same g() and expected-score factors, \{0, 0.5, 1\} is the outcome of game j , and between rating periods the deviation itself grows on a fixed schedule, = , clamped to…
Learn the underlying idea
An exponent tells how a base is used in multiplication. In x³, x is the base and 3 is the exponent: x³ = x × x × x.
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Sources cited in the article section
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