USATT#: 34825
Initial Rating  Pass 1  Pass 2  Pass 3  Final Rating (Pass 4) 

2145  2150  2145  2145  2162 
Initial Rating  From Tournament  Start Day  End Day 

2145  888 Table Tennis Grand Opening Team Challenge  25 Jun 2021  27 Jun 2021 
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 
583  EXPECTED  0  Vinay S Chandra  34825  2145  Angela Wu  1164940  1562 
160  EXPECTED  2  Vinay S Chandra  34825  2145  Andy Zhang  216349  1985 
171  EXPECTED  2  Vinay S Chandra  34825  2145  Derrick Cone  64672  1974 
39  UPSET  13  Vinay S Chandra  34825  2145  Trevor Deng  212032  2184 
409  EXPECTED  0  Vinay S Chandra  34825  2145  Jimmy Shen  92451  1736 
313  EXPECTED  0  Vinay S Chandra  34825  2145  Bella Goodwin  92549  1832 
546  EXPECTED  0  Vinay S Chandra  34825  2145  Anthony Luu  202799  1599 
61  EXPECTED  6  Vinay S Chandra  34825  2145  Jackie Feng  70467  2084 
606  EXPECTED  0  Vinay S Chandra  34825  2145  Vincent Green  9999  1539 
17  UPSET  10  Vinay S Chandra  34825  2145  Robert Shahnazari  10437  2162 
531  EXPECTED  0  Vinay S Chandra  34825  2145  Lingzhi Xu  223496  1614 
405  EXPECTED  0  Vinay S Chandra  34825  2145  Gautam Kathiravan  203221  1740 
120  EXPECTED  3  Vinay S Chandra  34825  2145  Daniel Tang  31985  2025 
696  EXPECTED  0  Vinay S Chandra  34825  2145  Jonathan Mann  1164157  1449 
169  EXPECTED  2  Vinay S Chandra  34825  2145  Krzysztof Perkowski  224044  1976 
Winner  Loser  

Point Spread  Outcome  Loss  Player  USATT #  Rating  Player  USATT #  Rating 
125  EXPECTED  3  Darius Fahimi  202343  2270  Vinay S Chandra  34825  2145 
58  UPSET  13  Taran Tummala  93278  2087  Vinay S Chandra  34825  2145 
34  EXPECTED  7  Priyan Jindal  90352  2179  Vinay S Chandra  34825  2145 
54  EXPECTED  6  Martin Rogers  80095  2199  Vinay S Chandra  34825  2145 
259  EXPECTED  0  Aziz Zarehbin  91906  2404  Vinay S Chandra  34825  2145 
166  EXPECTED  2  Stanley Hsu  97890  2311  Vinay S Chandra  34825  2145 
182  EXPECTED  2  Paul David  7014  2327  Vinay S Chandra  34825  2145 
Initial Rating  Gains/Losses  Pass 1 Rating 

2145 

$=\mathrm{2150}$ 
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 
583  EXPECTED  0  Vinay S Chandra  34825  2145  Angela Wu  1164940  1562 
160  EXPECTED  2  Vinay S Chandra  34825  2145  Andy Zhang  216349  1985 
171  EXPECTED  2  Vinay S Chandra  34825  2145  Derrick Cone  64672  1974 
39  UPSET  13  Vinay S Chandra  34825  2145  Trevor Deng  212032  2184 
409  EXPECTED  0  Vinay S Chandra  34825  2145  Jimmy Shen  92451  1736 
313  EXPECTED  0  Vinay S Chandra  34825  2145  Bella Goodwin  92549  1832 
546  EXPECTED  0  Vinay S Chandra  34825  2145  Anthony Luu  202799  1599 
61  EXPECTED  6  Vinay S Chandra  34825  2145  Jackie Feng  70467  2084 
606  EXPECTED  0  Vinay S Chandra  34825  2145  Vincent Green  9999  1539 
17  UPSET  10  Vinay S Chandra  34825  2145  Robert Shahnazari  10437  2162 
531  EXPECTED  0  Vinay S Chandra  34825  2145  Lingzhi Xu  223496  1614 
405  EXPECTED  0  Vinay S Chandra  34825  2145  Gautam Kathiravan  203221  1740 
120  EXPECTED  3  Vinay S Chandra  34825  2145  Daniel Tang  31985  2025 
696  EXPECTED  0  Vinay S Chandra  34825  2145  Jonathan Mann  1164157  1449 
169  EXPECTED  2  Vinay S Chandra  34825  2145  Krzysztof Perkowski  224044  1976 
Winner  Loser  

Point Spread  Outcome  Loss  Player  USATT #  Rating  Player  USATT #  Rating 
125  EXPECTED  3  Darius Fahimi  202343  2270  Vinay S Chandra  34825  2145 
58  UPSET  13  Taran Tummala  93278  2087  Vinay S Chandra  34825  2145 
34  EXPECTED  7  Priyan Jindal  90352  2179  Vinay S Chandra  34825  2145 
54  EXPECTED  6  Martin Rogers  80095  2199  Vinay S Chandra  34825  2145 
259  EXPECTED  0  Aziz Zarehbin  91906  2404  Vinay S Chandra  34825  2145 
166  EXPECTED  2  Stanley Hsu  97890  2311  Vinay S Chandra  34825  2145 
182  EXPECTED  2  Paul David  7014  2327  Vinay S Chandra  34825  2145 
Pass 2 Rating  Gains/Losses  Pass 3 Part 1 Rating 

2145 

$=\mathrm{2150}$ 
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 
583  EXPECTED  0  Vinay S Chandra  34825  2145  Angela Wu  1164940  1562 
160  EXPECTED  2  Vinay S Chandra  34825  2145  Andy Zhang  216349  1985 
171  EXPECTED  2  Vinay S Chandra  34825  2145  Derrick Cone  64672  1974 