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Quincy Johnson (Jerry Trainor) is a barely employed adult gamer who lives at home with his parents. Quincy plays video games under the username "Q" and is renowned in the gaming community for his many awards and world records. Much to Quincy's dismay, his parents decide to sell their house, meaning Quincy will need to find a new place of residence. Quincy decides to try to buy the house from them for $175,000. He plans on getting the money from a tournament for a new video game called "Black Hole", where the grand prize is $175,000. He discusses the dilemma with his number one fan, Wendell (Amir Talai). While practicing for the tournament, Quincy finds a player named "Prodigy" whom he cannot defeat. Quincy and Wendell decide to find out who Prodigy really is to secure Quincy's chance of winning the tournament, also because Quincy needs a place to stay. Wendell picks Quincy up and finds out that Prodigy lives nearby. They seek a plan to beat Prodigy while together.

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&#8226 Why are there 31 first-round picks this year?

&#8226 Who are the lowest drafted HOFs ever?

&#8226 When did the draft change to seven rounds?

&#8226 Who is the oldest person drafted?

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We considered all matches played by professional tennis players between 1968 and2010, and, on the basis of this data set, constructed a directed and weighted network of contacts. The resulting graph showed complex features, typical of many real networked systems studied in literature. We developed a diffusion algorithm and applied it to the tennis contact network in order to rank professional players. Jimmy Connors was identified as the best player in the history of tennis according to our ranking procedure. We performed a complete analysis by determining the best players on specific playing surfaces as well as the best ones in each of the years covered by the data set. The results of our technique were compared to those of two other well established methods. In general, we observed that our ranking method performed better: it had a higher predictive power and did not require the arbitrary introduction of external criteria for the correct assessment of the quality of players. The present work provides novel evidence of the utility of tools and methods of network theory in real applications.

Data were collected from the web site of the Association of Tennis Professionals (ATP, www.atpworldtour.com). We automatically downloaded all matches played by professional tennis players from January 1968 to October 2010. We restrict our analysis only to matches played in Grand Slams and ATP World Tour tournaments for a total of 3640 tournaments and 133261 matches. For illustrative purposes, in the top plot of the panel a of Figure 1, we report the number of tournaments played in each of the years covered by our data set. With the exception of the period between 1968 and 1970, when ATP was still in its infancy, about 75 tournaments were played each year. Two periods of larger popularity were registered around years 1980 and 1992 when more than 90 tournaments per year were played. The total number of different players present in our data set is 3700, and in the bottom plot of panel a of Figure 1 we show how many players played at least one match in each of the years covered by our analysis. In this case, the function is less regular. On average, 400 different players played in each of the years between 1968 and 1996. Large fluctuations are anyway visible and a very high peak in 1980, when more than 500 players participated in ATP tournaments, is also present. Between 1996 and 2000, the number of players decreased from 400 to 300 in an almost linear fashion. After that, the number of participants in ATP tournaments started to be more constant with small fluctuations around an average of about 300 players.

In panel a, we report the total number of tournaments (top panel) and players (bottom panel) as a function of time. In panel b, we plot the fraction of players having played (black circles), won (red squares) and lost (blue diamonds) a certain number of matches. The black dashed line corresponds to the best power-law fit with exponent consistent with the value .

In panel a, we draw the subgraph of the contact network restricted only to those players who have been number one in the ATP ranking. Intensities and widths are proportional to the logarithm of the weight carried by each directed edge. In panel b, we report a schematic view of the matches played during a single tournament, while in panel c we draw the network derived from it.

In the simplest case in which the graph is obtained by aggregating matches of a single tournament only, we can analytically determine the solutions of Eqs. (1). In a single tournament, matches are hierarchically organized in a binary rooted tree and the topology of the resulting contact network is very simple [see Figure 2, panels b and c]. Indicate with the number of matches that the winner of the tournament should play (and win). The total number of players present at the beginning of the tournament is . The prestige score is simply a function of , the number of matches won by a player, and can be denoted by . We can rewrite Eqs. (1) as(2)where and . The score is given by the sum of two terms: stands for the equal contribution shared by all players independently of the number of victories; represents the score accrued for the number of matches won. The former system of equations has a recursive solution given by(3)which is still dependent on a constant that can be determined by implementing the normalization condition(4)

In Figure 3, we plot Eqs. (6) and (7) for various values of . In general, sufficiently low values of allow to assign to the winner of the tournament a score which is about two order of magnitude larger than the one given to players loosing at the first round. The score of the winner is an exponential function of , the length of the tournament. Grand Slams have for instance length and their relative importance is therefore two or four times larger than the one of other ATP tournaments, typically having lengths or .

In panel a, we present a scatter plot of the prestige rank versus the rank based on the number of victories (i.e., in-strength). Only players ranked in the top 30 positions in one of the two lists are reported. Rank positions are calculated on the network corresponding to all matches played between 1968 and 2010. In panel b, a similar scatter plot is presented, but now only matches of year 2009 are considered for the construction of the network. Prestige rank positions are compared with those assigned by ATP.

The World Baseball Classic is nearly here. For the first time in six years, all the world's greatest players will face off with pride, bragging rights and the World Baseball Classic trophy all on the line.

While Ray Chang returns for his fourth tournament at the age of 39, and Angels undrafted free agent signee Alan Carter is the only affiliated player on the team, we're going to choose Jinjun. The star infielder is one of the best defenders on the team and he has the ability to play at second, third and shortstop. He led Team China to a third-place finish in the 2019 Asian Championships and was one of the Chinese players who joined the Texas Airhogs of the American Association in 2018 and '19, hitting .219/.265/.255 across 367 PA.

Even though former Major Leaguer Eric Sogard (the first U.S.-born MLB player with Czech citizenship) joins the Czech team for the tournament, all eyes should be on Schneider. He is arguably the best pitcher and shortstop in Czech baseball history; manager Pavel Chadim will ask him only to pitch in the World Baseball Classic to keep his arm loose and his body fresh.

We've based our list on a variety of factors. We have taken short-term form into account, but particularly strong or weak 2023/24 seasons are not the ultimate deal-breaker in many cases so that players with a long history of incredible performances aren't shunted down at the first sign of decline.

In many ways, Lewandowski is a no-nonsense entity. He knows where the ball will flow, he knows the positions to be in and when to be there, he knows all the measurements of the goal frame and will use every inch of it to ripple the net. If the ball falls to one player in a one-on-one situation in world football, Lewandowski is both the most likely player to be in that position and the man you'd want to be there.

Vincius' pace is scorching, with dynamite acceleration able to propel himself from standing starts beyond petrified defenders at will. Most impressively, he harnesses that speed with quickness of feet and ball control to match any player in the world.

For a player with a relatively simple playing style, he remains an enigma to halt. We say 'simple' in the least derogatory way possible. Salah is a touchline-hugging, direct winger with the ability to drive inside as he approaches the box. It should be easy to see it coming, but nobody has found a way to stop him.

One of the best aspects of De Bruyne is that he comes with all the trimmings. He's a lethal set-piece taker, he is unexpectedly physical and genuinely quick off the mark. Without these things, KDB would remain a top, top player, but with them at his disposal, he is a multi-layered box of tricks. ff782bc1db