USATT#: 18168

Certified Umpire
Initial Rating  Pass 1  Pass 2  Pass 3  Final Rating (Pass 4) 

2082  2074  2082  2082  2075 
Initial Rating  From Tournament  Start Day  End Day 

2082  Northshore TTC 2021 Summer OPEN  31 Jul 2021  31 Jul 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 
275  EXPECTED  0  Martin P. P. Del Vecchio  18168  2082  Pezhman Shams  28196  1807 
0  0  Martin P. P. Del Vecchio  18168  0  Xiaoyu Zhu  1172668  0  
0  0  Martin P. P. Del Vecchio  18168  0  Jonnathan Luciano  1172667  0  
190  EXPECTED  1  Martin P. P. Del Vecchio  18168  2082  Joey A. Drolet  47766  1892 
234  EXPECTED  1  Martin P. P. Del Vecchio  18168  2082  Anil Tumkur  97576  1848 
Winner  Loser  

Point Spread  Outcome  Loss  Player  USATT #  Rating  Player  USATT #  Rating 
337  EXPECTED  0  Rachid El Boubou  92375  2419  Martin P. P. Del Vecchio  18168  2082 
174  EXPECTED  2  Steve Wang  79101  2256  Martin P. P. Del Vecchio  18168  2082 
39  EXPECTED  6  Cameron Smith  82859  2121  Martin P. P. Del Vecchio  18168  2082 
138  EXPECTED  2  Kris Likitanurak  265565  2220  Martin P. P. Del Vecchio  18168  2082 
Initial Rating  Gains/Losses  Pass 1 Rating 

2082 

$=\mathrm{2074}$ 
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 ${\rho}_{\mathrm{i}}^{2}$. 
$i$  $i\in [1,\mathrm{24}]\cap \mathbb{Z}$  the index of the player under consideration. $i$ can be as small as $1$ or as large as $\mathrm{24}$ for this tournament and the ith player must be a rated player. 
Symbol  Universe  Description 

$i$  $i\in [1,\mathrm{24}]\cap \mathbb{Z}$  the index of the player under consideration. $i$ can be as small as $1$ or as large as $\mathrm{24}$ for this tournament and the ith player must be a rated player. 
$q$  $q\in [1,\mathrm{102}]\cap \mathbb{Z}$  the index of the match result under consideration. $q$ can be as small as $1$ or as large as $\mathrm{102}$ 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 
275  EXPECTED  0  Martin P. P. Del Vecchio  18168  2082  Pezhman Shams  28196  1807 
0  0  Martin P. P. Del Vecchio  18168  0  Xiaoyu Zhu  1172668  0  
0  0  Martin P. P. Del Vecchio  18168  0  Jonnathan Luciano  1172667  0  
190  EXPECTED  1  Martin P. P. Del Vecchio  18168  2082  Joey A. Drolet  47766  1892 
234  EXPECTED  1  Martin P. P. Del Vecchio  18168  2082  Anil Tumkur  97576  1848 
Winner  Loser  

Point Spread  Outcome  Loss  Player  USATT #  Rating  Player  USATT #  Rating 
337  EXPECTED  0  Rachid El Boubou  92375  2419  Martin P. P. Del Vecchio  18168  2082 
174  EXPECTED  2  Steve Wang  79101  2256  Martin P. P. Del Vecchio  18168  2082 
39  EXPECTED  6  Cameron Smith  82859  2121  Martin P. P. Del Vecchio  18168  2082 
138  EXPECTED  2  Kris Likitanurak  265565  2220  Martin P. P. Del Vecchio  18168  2082 
Pass 2 Rating  Gains/Losses  Pass 3 Part 1 Rating 

2082 

$=\mathrm{2074}$ 
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. 
$i$  $i\in [1,\mathrm{24}]\cap \mathbb{Z}$  the index of the player under consideration. $i$ can be as small as $1$ or as large as $\mathrm{24}$ for this tournament. 
Winner  Loser  

Point Spread  Outcome  Gain  Player  USATT #  Rating  Player  USATT #  Rating 
275  EXPECTED  0  Martin P. P. Del Vecchio  18168  2082  Pezhman Shams  28196  1807 
826  EXPECTED  0  Martin P. P. Del Vecchio  18168  2082  Xiaoyu Zhu  1172668  1256 
236  EXPECTED  1  Martin P. P. Del Vecchio  18168  2082  Jonnathan Luciano  1172667  1846 
190  EXPECTED  1  Martin P. P. Del Vecchio  18168  2082  Joey A. Drolet  47766  1892 
234  EXPECTED  1  Martin P. P. Del Vecchio  18168  2082  Anil Tumkur  97576  1848 
Winner  Loser  

Point Spread  Outcome  Loss  Player  USATT #  Rating  Player  USATT #  Rating 
337  EXPECTED  0  Rachid El Boubou  92375  2419  Martin P. P. Del Vecchio  18168  2082 
174  EXPECTED  2  Steve Wang  79101  2256  Martin P. P. Del Vecchio  18168  2082 
39  EXPECTED  6  Cameron Smith  82859  2121  Martin P. P. Del Vecchio  18168  2082 
138  EXPECTED  2  Kris Likitanurak  265565  2220  Martin P. P. Del Vecchio  18168  2082 
Pass 3 Rating  Gains/Losses  Pass 4 Rating 

2082 

$=\mathrm{2075}$ 