This page explains how Luke Zheng (USATT# 83635)'s rating went from 1689 to 1693 at the null event from 11 Aug 2015. These ratings are calculated by the ratings processor which goes through 4 passes over the match results data for a tournament. The following values are produced at the end of each of the 4 passes of the ratings processor for Luke Zheng for this league event.

Below you can view a table of all the resultant values from each of the 4 passes (and the initial rating) of the rating processor for all of the 31 players in this tournament. Sections below for further details on the initial rating and the 4 passes of the ratings processor.

Note: We use mathematical notation to express the exact operations carried out in each pass of the ratings processor below. Whenever you see a variable/symbol, such as, for example, $X_{\mathrm{i}}^3$, we are following the convention that the superscript part of the variable (in this case "3") indicates an index (such as in a series), and it should not be misconstrued to be an exponent (which is how it is used in some contexts).