USATT#: 94469
Initial Rating  Pass 1  Pass 2  Pass 3  Final Rating (Pass 4) 

2116  2187  2116  2187  2209 
Initial Rating  From Tournament  Start Day  End Day 

2116  US Open  17 Dec 2019  21 Dec 2019 
Point Spread  Expected Result  Upset Result 

0  12  8  8 
13  37  7  10 
38  62  6  13 
63  87  5  16 
88  112  4  20 
113  137  3  25 
138  162  2  30 
163  187  2  35 
188  212  1  40 
213  237  1  45 
238 and up  0  50 
Winner  Loser  

Point Spread  Outcome  Gain  Player  USATT #  Rating  Player  USATT #  Rating 
315  EXPECTED  0  Ruslan Riabokoniev  94469  2116  Ronald Meeks  82089  1801 
101  EXPECTED  4  Ruslan Riabokoniev  94469  2116  Lance Wei  97892  2015 
288  EXPECTED  0  Ruslan Riabokoniev  94469  2116  Anthony Cavazos  56980  1828 
306  EXPECTED  0  Ruslan Riabokoniev  94469  2116  Cliff Lin  220552  1810 
93  UPSET  20  Ruslan Riabokoniev  94469  2116  Kenneth Pinili  34207  2209 
375  EXPECTED  0  Ruslan Riabokoniev  94469  2116  Sargent Kolteryahn  218150  1741 
633  EXPECTED  0  Ruslan Riabokoniev  94469  2116  Stoyan Stoychev  1168147  1483 
32  UPSET  10  Ruslan Riabokoniev  94469  2116  Kash Noorani  216131  2148 
245  UPSET  50  Ruslan Riabokoniev  94469  2116  Sushant Lebaka  220809  2361 
68  EXPECTED  5  Ruslan Riabokoniev  94469  2116  Seema Cavale  219686  2048 
579  EXPECTED  0  Ruslan Riabokoniev  94469  2116  Ryousuke Adachi  33546  1537 
434  EXPECTED  0  Ruslan Riabokoniev  94469  2116  Radha Krushna M Kanchanapelly  83335  1682 
59  EXPECTED  6  Ruslan Riabokoniev  94469  2116  Piotr Soja  82335  2057 
Winner  Loser  

Point Spread  Outcome  Loss  Player  USATT #  Rating  Player  USATT #  Rating 
11  EXPECTED  8  James Therriault  10533  2127  Ruslan Riabokoniev  94469  2116 
28  EXPECTED  7  Handson Li  95284  2144  Ruslan Riabokoniev  94469  2116 
208  EXPECTED  1  Tahl Leibovitz  59922  2324  Ruslan Riabokoniev  94469  2116 
249  EXPECTED  0  Richard Ciz  22622  2365  Ruslan Riabokoniev  94469  2116 
397  EXPECTED  0  Sid Naresh  84903  2513  Ruslan Riabokoniev  94469  2116 
6  UPSET  8  Brian Zhao  89429  2110  Ruslan Riabokoniev  94469  2116 
288  EXPECTED  0  Aziz Zarehbin  91906  2404  Ruslan Riabokoniev  94469  2116 
Initial Rating  Gains/Losses  Pass 1 Rating 

2116 

$=\mathrm{2187}$ 
Symbol  Universe  Description 
${P}_{\mathrm{i}}^{0}$  ${P}_{\mathrm{i}}^{0}\in \mathrm{{\mathbb{Z}}^{\mathrm{+}}}$  the initial rating for the $i$th player. We use the symbol $P$ and the superscript $0$ to represent the idea that we sometimes refer to the process of identifying the initial rating of the given player as Pass 0 of the ratings processor. 
${P}_{\mathrm{i}}^{1}$  ${P}_{\mathrm{i}}^{1}\in \mathrm{{\mathbb{Z}}^{\mathrm{+}}}$  the Pass 1 rating for the $i$th player. 
${\rho}_{\mathrm{i}}^{2}$  ${\rho}_{\mathrm{i}}^{2}\in \mathbb{Z}$  the points gained by the $i$th player in this tournament. Note here that we use the superscript $2$ to denote that this value is calculated and used in Pass 2 of the ratings processor. Further, ${\rho}_{\mathrm{i}}^{2}$ only exists for players who have a well defined Pass 1 Rating. For Players with an undefined Pass 1 Rating (unrated players), will have an undefined ${\rho}_{\mathrm{i}}^{2}$. 
$i$  $i\in [1,\mathrm{486}]\cap \mathbb{Z}$  the index of the player under consideration. $i$ can be as small as $1$ or as large as $\mathrm{486}$ for this tournament and the ith player must be a rated player. 
Symbol  Universe  Description 

$i$  $i\in [1,\mathrm{486}]\cap \mathbb{Z}$  the index of the player under consideration. $i$ can be as small as $1$ or as large as $\mathrm{486}$ for this tournament and the ith player must be a rated player. 
$q$  $q\in [1,\mathrm{3230}]\cap \mathbb{Z}$  the index of the match result under consideration. $q$ can be as small as $1$ or as large as $\mathrm{3230}$ for this tournament and the qth match must be have both rated players as opponents. 
$g$  $g\in [1,5]\cap \mathbb{Z}$  the gth game of the current match result under consideration. $q$ can be as small as $1$ or as large as $5$ for this tournament assuming players play up to 5 games in a match. 
${P}_{\mathrm{k}}^{0}$  ${P}_{\mathrm{k}}^{0}\in \mathrm{{\mathbb{Z}}^{\mathrm{+}}}$  initial rating of the ith player's opponent from the kth match. 
Symbol  Universe  Description 

${P}_{\mathrm{i}}^{2}$  ${P}_{\mathrm{i}}^{2}\in \mathrm{{\mathbb{Z}}^{\mathrm{+}}}$  the pass 2 rating, of the ith player in this tournament only applicable to unrated players, where ${P}_{\mathrm{i}}^{0}$ is not defined 
${B}_{\mathrm{i}}^{2}$  ${B}_{\mathrm{i}}^{2}\in \mathrm{{\mathbb{Z}}^{\mathrm{+}}}$  the largest of the Pass 2 Adjustments of opponents of the ith player against whom he/she won a match. 
${\alpha}_{\mathrm{k}}^{2}$  ${\alpha}_{\mathrm{k}}^{2}\in \mathrm{{\mathbb{Z}}^{\mathrm{+}}}$  the Pass 2 Adjustment of the player who was the opponent of the ith player in the kth match 
$I\left(x\right)$  $I:\mathbb{Z}\mapsto \mathrm{{\mathbb{Z}}^{\mathrm{+}}}$  a function that maps all integers to one of the values from  0, 1, 5, 10. 
${M}_{\mathrm{i}}$  ${M}_{\mathrm{i}}\in \mathrm{{\mathbb{Z}}^{\mathrm{+}}}$  total number of matches played by the ith player in this tournament 
k  $k\in \mathrm{[0,\mathrm{{M}_{\mathrm{i}}}1]\cap {\mathbb{Z}}^{\mathrm{+}}}$  The index of the match of the ith player ranging from 0 to ${M}_{\mathrm{i}}1$ 
Symbol  Universe  Description 

${P}_{\mathrm{i}}^{2}$  ${P}_{\mathrm{i}}^{2}\in \mathrm{{\mathbb{Z}}^{\mathrm{+}}}$  the pass 2 rating, of the ith player in this tournament only applicable to unrated players, where ${P}_{\mathrm{i}}^{0}$ is not defined 
${W}_{\mathrm{i}}^{2}$  ${W}_{\mathrm{i}}^{2}\in \mathrm{{\mathbb{Z}}^{\mathrm{+}}}$  the smallest of the Pass 2 Adjustments of opponents of the ith player against whom he/she lost a match. 
${\alpha}_{\mathrm{k}}^{2}$  ${\alpha}_{\mathrm{k}}^{2}\in \mathrm{{\mathbb{Z}}^{\mathrm{+}}}$  the Pass 2 Adjustment of the player who was the opponent of the ith player in the kth match 
$I\left(x\right)$  $I:\mathbb{Z}\mapsto \mathrm{{\mathbb{Z}}^{\mathrm{+}}}$  a function that maps all integers to one of the values from  0, 1, 5, 10. 
${M}_{\mathrm{i}}$  ${M}_{\mathrm{i}}\in \mathrm{{\mathbb{Z}}^{\mathrm{+}}}$  total number of matches played by the ith player in this tournament 
k  $k\in \mathrm{[0,\mathrm{{M}_{\mathrm{i}}}1]\cap {\mathbb{Z}}^{\mathrm{+}}}$  The index of the match of the ith player ranging from 0 to ${M}_{\mathrm{i}}1$ 
Winner  Loser  

Point Spread  Outcome  Gain  Player  USATT #  Rating  Player  USATT #  Rating 
315  EXPECTED  0  Ruslan Riabokoniev  94469  2116  Ronald Meeks  82089  1801 
101  EXPECTED  4  Ruslan Riabokoniev  94469  2116  Lance Wei  97892  2015 
288  EXPECTED  0  Ruslan Riabokoniev  94469  2116  Anthony Cavazos  56980  1828 
306  EXPECTED  0  Ruslan Riabokoniev  94469  2116  Cliff Lin  220552  1810 
93  UPSET  20  Ruslan Riabokoniev  94469  2116  Kenneth Pinili  34207  2209 
375  EXPECTED  0  Ruslan Riabokoniev  94469  2116  Sargent Kolteryahn  218150  1741 
633  EXPECTED  0  Ruslan Riabokoniev  94469  2116  Stoyan Stoychev  1168147  1483 
32  UPSET  10  Ruslan Riabokoniev  94469  2116  Kash Noorani  216131  2148 
245  UPSET  50  Ruslan Riabokoniev  94469  2116  Sushant Lebaka  220809  2361 
68  EXPECTED  5  Ruslan Riabokoniev  94469  2116  Seema Cavale  219686  2048 
579  EXPECTED  0  Ruslan Riabokoniev  94469  2116  Ryousuke Adachi  33546  1537 
434  EXPECTED  0  Ruslan Riabokoniev  94469  2116  Radha Krushna M Kanchanapelly  83335  1682 
59  EXPECTED  6  Ruslan Riabokoniev  94469  2116  Piotr Soja  82335  2057 
Winner  Loser  

Point Spread  Outcome  Loss  Player  USATT #  Rating  Player  USATT #  Rating 
11  EXPECTED  8  James Therriault  10533  2127  Ruslan Riabokoniev  94469  2116 
28  EXPECTED  7  Handson Li  95284  2144  Ruslan Riabokoniev  94469  2116 
208  EXPECTED  1  Tahl Leibovitz  59922  2324  Ruslan Riabokoniev  94469  2116 
249  EXPECTED  0  Richard Ciz  22622  2365  Ruslan Riabokoniev  94469  2116 
397  EXPECTED  0  Sid Naresh  84903  2513  Ruslan Riabokoniev  94469  2116 
6  UPSET  8  Brian Zhao  89429  2110  Ruslan Riabokoniev  94469  2116 
288  EXPECTED  0  Aziz Zarehbin  91906  2404  Ruslan Riabokoniev  94469  2116 
Pass 2 Rating  Gains/Losses  Pass 3 Part 1 Rating 

2116 

$=\mathrm{2187}$ 
Symbol  Universe  Description 
${P}_{\mathrm{i}}^{2}$  ${P}_{\mathrm{i}}^{2}\in \mathrm{{\mathbb{Z}}^{\mathrm{+}}}$  the Pass 2 Rating for the $i$th player. 
${p}_{\mathrm{i}}^{3}$  ${p}_{\mathrm{i}}^{3}\in \mathrm{{\mathbb{Z}}^{\mathrm{+}}}$  the Pass 3 Part 1 rating for the $i$th player. (Note that since this is an intermediate result, we are using a lower case p instead of the upper case P that we use to indicate final result from each pass of the ratings processor. 
${\rho}_{\mathrm{i}}^{3}$  ${\rho}_{\mathrm{i}}^{3}\in \mathbb{Z}$  the points gained by the $i$th player in this tournament in Pass 3. 
$i$  $i\in [1,\mathrm{486}]\cap \mathbb{Z}$  the index of the player under consideration. $i$ can be as small as $1$ or as large as $\mathrm{486}$ for this tournament. 
Winner  Loser  

Point Spread  Outcome  Gain  Player  USATT #  Rating  Player  USATT #  Rating 
386  EXPECTED  0  Ruslan Riabokoniev  94469  2187  Ronald Meeks  82089  1801 
172  EXPECTED  2  Ruslan Riabokoniev  94469  2187  Lance Wei  97892  2015 