USATT#: 216241
Initial Rating  Pass 1  Pass 2  Pass 3  Final Rating (Pass 4) 

1851  1773  1851  1851  1860 
Initial Rating  From Tournament  Start Day  End Day 

1851  2021 National U11, U13, and U17 Team Trials  18 Jun 2021  20 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 
391  EXPECTED  0  Jay J Chen  216241  1851  Mari MinoKenudson  91575  1460 
82  UPSET  16  Jay J Chen  216241  1851  Medha Krishna  218837  1933 
251  EXPECTED  0  Jay J Chen  216241  1851  Austin Zhang  203237  1600 
22  EXPECTED  7  Jay J Chen  216241  1851  Kaylyn Hur  1164203  1829 
344  EXPECTED  0  Jay J Chen  216241  1851  Rudy Urias  97099  1507 
368  EXPECTED  0  Jay J Chen  216241  1851  Stoyan Stoychev  1168147  1483 
297  UPSET  50  Jay J Chen  216241  1851  Wai M. Wong  45824  2148 
1101  EXPECTED  0  Jay J Chen  216241  1851  Ninaad Hadge  1165565  750 
873  EXPECTED  0  Jay J Chen  216241  1851  Shriraam Velayutham  223760  978 
1246  EXPECTED  0  Jay J Chen  216241  1851  Daniel Dotson  219388  605 
399  EXPECTED  0  Jay J Chen  216241  1851  Mihir Joshi  219732  1452 
Winner  Loser  

Point Spread  Outcome  Loss  Player  USATT #  Rating  Player  USATT #  Rating 
297  EXPECTED  0  Kash Noorani  216131  2148  Jay J Chen  216241  1851 
132  UPSET  25  Saisamhitha Kanchanapelly  222286  1719  Jay J Chen  216241  1851 
214  EXPECTED  1  Purvi Soni  98261  2065  Jay J Chen  216241  1851 
149  UPSET  30  Emiliia Panova  215274  1702  Jay J Chen  216241  1851 
87  EXPECTED  5  Vignesh Iyer  270366  1938  Jay J Chen  216241  1851 
415  EXPECTED  0  Ashwin Sai Sankuratri  92553  2266  Jay J Chen  216241  1851 
196  UPSET  40  Jingfan Feng  219191  1655  Jay J Chen  216241  1851 
364  UPSET  50  Andrew A Chen  218217  1487  Jay J Chen  216241  1851 
304  EXPECTED  0  James Zhang  98301  2155  Jay J Chen  216241  1851 
Initial Rating  Gains/Losses  Pass 1 Rating 

1851 

$=\mathrm{1773}$ 
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 
391  EXPECTED  0  Jay J Chen  216241  1851  Mari MinoKenudson  91575  1460 
82  UPSET  16  Jay J Chen  216241  1851  Medha Krishna  218837  1933 
251  EXPECTED  0  Jay J Chen  216241  1851  Austin Zhang  203237  1600 
22  EXPECTED  7  Jay J Chen  216241  1851  Kaylyn Hur  1164203  1829 
344  EXPECTED  0  Jay J Chen  216241  1851  Rudy Urias  97099  1507 
368  EXPECTED  0  Jay J Chen  216241  1851  Stoyan Stoychev  1168147  1483 
297  UPSET  50  Jay J Chen  216241  1851  Wai M. Wong  45824  2148 
1101  EXPECTED  0  Jay J Chen  216241  1851  Ninaad Hadge  1165565  750 
873  EXPECTED  0  Jay J Chen  216241  1851  Shriraam Velayutham  223760  978 
1246  EXPECTED  0  Jay J Chen  216241  1851  Daniel Dotson  219388  605 
399  EXPECTED  0  Jay J Chen  216241  1851  Mihir Joshi  219732  1452 
Winner  Loser  

Point Spread  Outcome  Loss  Player  USATT #  Rating  Player  USATT #  Rating 
297  EXPECTED  0  Kash Noorani  216131  2148  Jay J Chen  216241  1851 
132  UPSET  25  Saisamhitha Kanchanapelly  222286  1719  Jay J Chen  216241  1851 
214  EXPECTED  1  Purvi Soni  98261  2065  Jay J Chen  216241  1851 
149  UPSET  30  Emiliia Panova  215274  1702  Jay J Chen  216241  1851 
87  EXPECTED  5  Vignesh Iyer  270366  1938  Jay J Chen  216241  1851 
415  EXPECTED  0  Ashwin Sai Sankuratri  92553  2266  Jay J Chen  216241  1851 
196  UPSET  40  Jingfan Feng  219191  1655  Jay J Chen  216241  1851 
364  UPSET  50  Andrew A Chen  218217  1487  Jay J Chen  216241  1851 
304  EXPECTED  0  James Zhang  98301  2155  Jay J Chen  216241  1851 
Pass 2 Rating  Gains/Losses  Pass 3 Part 1 Rating 

1851 

$=\mathrm{1773}$ 
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 