USATT#: 23674
 Coach Level: Club
Initial Rating  Pass 1  Pass 2  Pass 3  Final Rating (Pass 4) 

1303  1104  1303  1303  1198 
Initial Rating  From Tournament  Start Day  End Day 

1303  Macy Block Open (formerly Sun  n/a  22 Aug 1999 
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 
327  EXPECTED  0  Gerhardt K. Egri  23674  1303  Lewis Chan  14419  976 
64  EXPECTED  5  Gerhardt K. Egri  23674  1303  Atha Fong  13640  1239 
650  EXPECTED  0  Gerhardt K. Egri  23674  1303  Barbara Wei  17408  653 
732  EXPECTED  0  Gerhardt K. Egri  23674  1303  Rita Wu  14931  571 
Winner  Loser  

Point Spread  Outcome  Loss  Player  USATT #  Rating  Player  USATT #  Rating 
325  EXPECTED  0  Chris Doyle  4098  1628  Gerhardt K. Egri  23674  1303 
230  UPSET  45  Felix GagnonBelanger  15836  1073  Gerhardt K. Egri  23674  1303 
96  UPSET  20  Kar Ho  17785  1207  Gerhardt K. Egri  23674  1303 
309  EXPECTED  0  Berndt Mann  52031  1612  Gerhardt K. Egri  23674  1303 
242  EXPECTED  0  George M. Mendez  1689  1545  Gerhardt K. Egri  23674  1303 
255  EXPECTED  0  A.J. Meunier  1458  1558  Gerhardt K. Egri  23674  1303 
175  EXPECTED  2  David Nauyalis  56518  1478  Gerhardt K. Egri  23674  1303 
0  0  Mathieu Parent  20390  0  Gerhardt K. Egri  23674  0  
18  EXPECTED  7  Fadi Kaddoura  14826  1321  Gerhardt K. Egri  23674  1303 
330  EXPECTED  0  Sungill Kim  16226  1633  Gerhardt K. Egri  23674  1303 
400  UPSET  50  Harvey Lam  18051  903  Gerhardt K. Egri  23674  1303 
311  UPSET  50  William Robinson  18169  992  Gerhardt K. Egri  23674  1303 
281  EXPECTED  0  Don Varian  62156  1584  Gerhardt K. Egri  23674  1303 
222  EXPECTED  1  Dan Theuber  8244  1525  Gerhardt K. Egri  23674  1303 
105  EXPECTED  4  Jonathan Talley  15563  1408  Gerhardt K. Egri  23674  1303 
339  EXPECTED  0  Mike R. Baldwin  7957  1642  Gerhardt K. Egri  23674  1303 
55  UPSET  13  James Barker  11969  1248  Gerhardt K. Egri  23674  1303 
103  EXPECTED  4  Joshua Bernstein  8431  1406  Gerhardt K. Egri  23674  1303 
26  EXPECTED  7  Dana Adams  56996  1329  Gerhardt K. Egri  23674  1303 
201  EXPECTED  1  Giancarlo Anselmo  10859  1504  Gerhardt K. Egri  23674  1303 
Initial Rating  Gains/Losses  Pass 1 Rating 

1303 

$=\mathrm{1104}$ 
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 ${\rho}_{\mathrm{i}}^{2}$. 
$i$  $i\in [1,\mathrm{721}]\cap \mathbb{Z}$  the index of the player under consideration. $i$ can be as small as $1$ or as large as $\mathrm{721}$ for this tournament and the ith player must be a rated player. 
Symbol  Universe  Description 

$i$  $i\in [1,\mathrm{721}]\cap \mathbb{Z}$  the index of the player under consideration. $i$ can be as small as $1$ or as large as $\mathrm{721}$ for this tournament and the ith player must be a rated player. 
$q$  $q\in [1,\mathrm{6396}]\cap \mathbb{Z}$  the index of the match result under consideration. $q$ can be as small as $1$ or as large as $\mathrm{6396}$ 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 
327  EXPECTED  0  Gerhardt K. Egri  23674  1303  Lewis Chan  14419  976 
64  EXPECTED  5  Gerhardt K. Egri  23674  1303  Atha Fong  13640  1239 
650  EXPECTED  0  Gerhardt K. Egri  23674  1303  Barbara Wei  17408  653 
732  EXPECTED  0  Gerhardt K. Egri  23674  1303  Rita Wu  14931  571 