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Implicitly Defined Baseball Statistics
Implicitly Defined Baseball Statistics December 9, 2012 Joe Scott 1 Introduction Major League Baseball uses statistics to determine awards every season. The batting champion is given to the player with the highest batting average. The Cy Young Award is given to the top pitcher which is determined by many different statistics including earned run average (ERA). Batting average and ERA have been used for many years and are major statistics in baseball. Neither batting average or ERA consider the skill of the opposing pitcher or batter. Thus, every pitcher and batter is considered to have the same skill level. We develop an implicitly definded statistic that determines the skill or value of a player. The value of a batter and the value of a pitcher is based on the skill of the oppposing pitcher and batter respectively. We use linear algebra to find eigenvector solutions to the eigenvalue problem, Aλ = λx, which generates each player's statistical value. 2 Idea Consider a baseball league in which there are Nb players who bat, represented by bi for 1 ≤ i ≤ Nb. We represent the number of pitchers in the league as pj, 1 ≤ j ≤ Np where Np is the number of pitchers. Nb is defined as the number players who record an at bat during a specific season and Np is the number of players who record a pitching appearance during a season. The total number of players in the league, Ntp, is represented by the inequality Ntb ≤ Nb + Np. This inequality considers players who both hit and pitch. Since in the National League pitchers hit as well as pitch we need to add the pitchers to the total number of batters and in interleague play (which is when American League teams face National League teams in the regular season) American League pitchers bat when the National League team is home. -
New York Giants 2012 Season Recap 2012 New York Giants
NEW YORK GIANTS 2012 SEASON RECAP The 2012 Giants finished 9-7 and in second place in the NFC East. It was the eighth consecutive season in which the Giants finished .500 or better, their longest such streak since they played 10 seasons in a row without a losing record from 1954-63. The Giants finished with a winning record for the third consecutive season, the first time they had done that since 1988-90 (when they were 10-6, 12-4, 13-3). Despite extending those streaks, they did not earn a postseason berth. The Giants lost control of their playoff destiny with back-to-back late-season defeats in Atlanta and Baltimore. They routed Philadelphia in their finale, but soon learned they were eliminated when Chicago beat Detroit. The Giants compiled numerous impressive statistics in 2012. They scored 429 points, the second-highest total in franchise history; the 1963 Giants scored 448. The 2012 season was the fifth in the 88-year history of the franchise in which the Giants scored more than 400 points. The Giants scored a franchise- record 278 points at home, shattering the old mark of 248, set in 2007. In their last three home games – victories over Green Bay, New Orleans and Philadelphia – the Giants scored 38, 52 and 42 points. The 2012 team allowed an NFL-low 20 sacks. The Giants were fourth in the NFL in both takeaways (35, four more than they had in 2011) and turnover differential (plus-14, a significant improvement over 2011’s plus-7). The plus-14 was the Giants’ best turnover differential since they were plus-25 in 1997. -
1967 APBA PRO FOOTBALL SET ROSTER the Following Players Comprise the 1967 Season APBA Pro Football Player Card Set
1967 APBA PRO FOOTBALL SET ROSTER The following players comprise the 1967 season APBA Pro Football Player Card Set. The regular starters at each position are listed first and should be used most frequently. Realistic use of the players below will generate statistical results remarkably similar to those from real life. IMPORTANT: When a Red "K" appears in the R-column as the result on any kind of running play from scrimmage or on any return, roll the dice again, refer to the K-column, and use the number there for the result. When a player has a "K" in his R-column, he can never be used for kicking or punting. If the symbol "F-K" or "F-P" appears on a players card, it means that you use the K or P column when he recovers a fumble. Players in bold are starters. If there is a difference between the player's card and the roster sheet, always use the card information. The number in ()s after the player name is the number of cards that the player has in this set. See below for a more detailed explanation of new symbols on the cards. ATLANTA ATLANTA BALTIMORE BALTIMORE OFFENSE DEFENSE OFFENSE DEFENSE EB: Tommy McDonald End: Sam Williams EB: Willie Richardson End: Ordell Braase Jerry Simmons TC OC Jim Norton Raymond Berry Roy Hilton Gary Barnes Bo Wood OC Ray Perkins Lou Michaels KA KOA PB Ron Smith TA TB OA Bobby Richards Jimmy Orr Bubba Smith Tackle: Errol Linden OC Bob Hughes Alex Hawkins Andy Stynchula Don Talbert OC Tackle: Karl Rubke Don Alley Tackle: Fred Miller Guard: Jim Simon Chuck Sieminski Tackle: Sam Ball Billy Ray Smith Lou Kirouac -
The Ice Bowl: the Cold Truth About Football's Most Unforgettable Game
SPORTS | FOOTBALL $16.95 GRUVER An insightful, bone-chilling replay of pro football’s greatest game. “ ” The Ice Bowl —Gordon Forbes, pro football editor, USA Today It was so cold... THE DAY OF THE ICE BOWL GAME WAS SO COLD, the referees’ whistles wouldn’t work; so cold, the reporters’ coffee froze in the press booth; so cold, fans built small fires in the concrete and metal stands; so cold, TV cables froze and photographers didn’t dare touch the metal of their equipment; so cold, the game was as much about survival as it was Most Unforgettable Game About Football’s The Cold Truth about skill and strategy. ON NEW YEAR’S EVE, 1967, the Dallas Cowboys and the Green Bay Packers met for a classic NFL championship game, played on a frozen field in sub-zero weather. The “Ice Bowl” challenged every skill of these two great teams. Here’s the whole story, based on dozens of interviews with people who were there—on the field and off—told by author Ed Gruver with passion, suspense, wit, and accuracy. The Ice Bowl also details the history of two legendary coaches, Tom Landry and Vince Lombardi, and the philosophies that made them the fiercest of football rivals. Here, too, are the players’ stories of endurance, drive, and strategy. Gruver puts the reader on the field in a game that ended with a play that surprised even those who executed it. Includes diagrams, photos, game and season statistics, and complete Ice Bowl play-by-play Cheers for The Ice Bowl A hundred myths and misconceptions about the Ice Bowl have been answered. -
2010 Topps Baseball Set Checklist
2010 TOPPS BASEBALL SET CHECKLIST 1 Prince Fielder 2 Buster Posey RC 3 Derrek Lee 4 Hanley Ramirez / Pablo Sandoval / Albert Pujols LL 5 Texas Rangers TC 6 Chicago White Sox FH 7 Mickey Mantle 8 Joe Mauer / Ichiro / Derek Jeter LL 9 Tim Lincecum NL CY 10 Clayton Kershaw 11 Orlando Cabrera 12 Doug Davis 13 Melvin Mora 14 Ted Lilly 15 Bobby Abreu 16 Johnny Cueto 17 Dexter Fowler 18 Tim Stauffer 19 Felipe Lopez 20 Tommy Hanson 21 Cristian Guzman 22 Anthony Swarzak 23 Shane Victorino 24 John Maine 25 Adam Jones 26 Zach Duke 27 Lance Berkman / Mike Hampton CC 28 Jonathan Sanchez 29 Aubrey Huff 30 Victor Martinez 31 Jason Grilli 32 Cincinnati Reds TC 33 Adam Moore RC 34 Michael Dunn RC 35 Rick Porcello 36 Tobi Stoner RC 37 Garret Anderson 38 Houston Astros TC 39 Jeff Baker 40 Josh Johnson 41 Los Angeles Dodgers FH 42 Prince Fielder / Ryan Howard / Albert Pujols LL Compliments of BaseballCardBinders.com© 2019 1 43 Marco Scutaro 44 Howie Kendrick 45 David Hernandez 46 Chad Tracy 47 Brad Penny 48 Joey Votto 49 Jorge De La Rosa 50 Zack Greinke 51 Eric Young Jr 52 Billy Butler 53 Craig Counsell 54 John Lackey 55 Manny Ramirez 56 Andy Pettitte 57 CC Sabathia 58 Kyle Blanks 59 Kevin Gregg 60 David Wright 61 Skip Schumaker 62 Kevin Millwood 63 Josh Bard 64 Drew Stubbs RC 65 Nick Swisher 66 Kyle Phillips RC 67 Matt LaPorta 68 Brandon Inge 69 Kansas City Royals TC 70 Cole Hamels 71 Mike Hampton 72 Milwaukee Brewers FH 73 Adam Wainwright / Chris Carpenter / Jorge De La Ro LL 74 Casey Blake 75 Adrian Gonzalez 76 Joe Saunders 77 Kenshin Kawakami 78 Cesar Izturis 79 Francisco Cordero 80 Tim Lincecum 81 Ryan Theroit 82 Jason Marquis 83 Mark Teahen 84 Nate Robertson 85 Ken Griffey, Jr. -
Official Game Information
Official Game Information Yankee Stadium • One East 161st Street • Bronx, NY 10451 Phone: (718) 579-4460 • E-mail: [email protected] • Twitter: @yankeespr & @losyankeespr World Series Champions: 1923, ’27-28, ’32, ’36-39, ’41, ’43, ’47, ’49-53, ’56, ’58, ’61-62, ’77-78, ’96, ’98-2000, ’09 YANKEES BY THE NUMBERS NOTE 2014 (2013) New York Yankees (58-53) vs. DETROIT TIGERS (61-48) Standing in AL East: ..............3rd, -5.0 Current Streak: .....................Won 3 RHP Hiroki Kuroda (7-7, 3.98) vs. LHP David Price (11-8, 3.11 w/ TB) Home Record: .............26-26 (46-35) Road Record:. 32-27 (44-37) Tuesday, August 5, 2014 • Yankee Stadium • 7:05 P.M. ET Day Record: ................22-14 (32-24) Night Record: ..............36-39 (53-53) Game #112 • Home Game #53 • TV: YES/MLBN • Radio: WFAN 660AM/101.9FM Pre-All-Star .................47-47 (51-44) Post-All-Star ..................11-6 (34-33) AT A GLANCE: Tonight the Yankees play the second game of 30 FOR 30: Should RHP Hiroki Kuroda earn a win tonight vs. AL East: ................. 21-23 (37-39) vs. AL Central: ............... 10-9 (22-11) a four-game series vs. Detroit… is also the second game of a over Detroit, he will become the 14th pitcher in MLB history to vs. AL West: ................ 14-14 (17-16) seven-game homestand (are 1-0 thus far) that includes three have earned a win over all 30 current teams in the Majors… the vs. National League: ..........13-7 (9-11) games vs. Cleveland from Friday-Sunday… on Sunday, the 13 who have accomplished the feat are Al Leiter, Kevin Brown, vs. -
Cornell Football Legends
Cornell Football Legends Glenn Scobey (Pop) Warner • Gridiron’s Greatest Strategist Glenn Scobey (Pop) Warner was a colorful individual during his playing days at Cornell and then during an illustrious, uninterrupted 45-year coaching ca- reer. Warner was born in Springville, N.Y., on April 5, 1871, only two days after the ! rst college football game between Princeton and Rutgers. Not only was he one of Cornell’s outstanding football players, but he also excelled in track and ! eld, and was its heavyweight boxing champion in 1893. Upon graduation from Cornell Law School in 1895, Warner began his coaching career at Georgia. He returned to his alma mater for the 1897-98 seasons, then went to Carlisle from 1899-1903. “Pop” came back to Ithaca for a second stint coaching the Big Red from 1904-06, before heading back to Carlisle, where he coached legendary Jim Thorpe. After leaving Carlisle in 1914, Warner later coached at Pittsburgh (1915-23), Stanford (1924-32) and Temple (1933-38). At the age of 67, he returned to his permanent residence of Palo Alto, Calif., and served as an advisory coach at San Jose State from 1939-40. After coaching 44 All-Americans and introducing so many of the football practices that we still use today, Warner returned to his oil and water paints, and to his work bench. His imaginative mind produced the screen pass, the rolling block, the naked reverse, series plays and the unbalanced line. He also introduced the numbering of players, huddle, wearing of headgear, spiral punt and the blocking dummy. -
Cubs 2013 Preview: a Bit Better Pitching, but Rebuilding Still Grinds Along Slowly
Cubs 2013 preview: A bit better pitching, but rebuilding still grinds along slowly By George Castle, CBM Historian Posted Friday, March 29, 2013 Theo Epstein is getting double for his money these days. First, the former lifelong Bostonian is getting a valuable education in Chicago politics as the three- cornered debate over Wrigley Field renovations shows how Clout City USA really works. And yet all the arguments over whether the Cubs should get seri- ous with Rosemont and consider moving if they don’t get a renova- Cubs GM Jed Hoyer (with wife Merrill) and boss Theo Ep- tions deal very soon give Epstein stein have once again constructed a roster that can be and his baseball operations depart- disassembled via mid-season trades. ment a big break. Off-the-field issues involving Wrigley Field, whether the installation of lights, falling concrete or Arne Harris’ hat shots, are always far more than sideshows. They become the main story, relegating the Cubs’ on-field fortunes to notebook status. The taffy pull involving Tom Ricketts, Rahm Emanuel, Tom Tunney, the rooftop owners and the vil- lage of Rosemont absolutely shifted the Cubs’ spring-training countdown to Opening Day to secondary news-angle status. If all focus was on the team itself, the conclusion would be a sub-standard roster with a slew of place-holders that is being intentionally fielded for the second-year in a row. Worse yet, as Epstein vows a rebuilding-from-the-ground-up strategy, there are no pitching phenoms or fresh-faced hot rookies as attention-getters to make the continual losing more palatable. -
Great Forgotten Ends of the 1930'S
THE COFFIN CORNER: Vol. 15, No. 1 (1993) Great Forgotten Ends of the 1930's by Stan Grosshandler There was once a position called END! The end played on both sides of the line of scrimmage; therefore, there was a left end and a right end. There were no split ends, tight ends, wide receivers, flankers, wide outs, or anything else. There were just plain ENDS! Now end was a very difficult position to play. You had to catch passes all over the field, block a tackle who vastly outweighed you, and stop end sweeps by throwing yourself into an interference that consisted of two running guards built like tanks and a pretty hefty blocking back built like a bull. You were expected to play sixty minutes, which often meant you had to chase a pass the length of the field, then block that monster in front of you, and next go on defense and break up the interference. Some days it was just plain hell! Four ends from the 1930's, Don Hutson, Red Badgro, Bill Hewitt, and Wayne Millner are honored in the Hall of Fame. A fifth, Ray Flaherty, is in the Hall for his coaching success, but was a very good end as a player. During the early years of the NFL, George Halas, an old right end himself, did a pretty good job of collecting most of the talent. Besides Hewitt he had Luke Johnsos, Bill Karr, Eggs Manske, Dick Plasman, and George Wilson. Johnsos and Karr played the right side opposite Hewitt. With the Bears from 1929 through 1936 Luke had a career total of 87 receptions and 19 TD's. -
Passed Senate
MISSISSIPPI LEGISLATURE SECOND EXTRAORDINARY SESSION 2002 By: Senator(s) Simmons, Dawkins To: Rules SENATE RESOLUTION NO. 4 1 A RESOLUTION COMMENDING THE LIFE AND PROFESSIONAL FOOTBALL 2 CAREER OF MELVIN CHRISTOPHER (MEL) TRIPLETT, A NATIVE OF 3 INDIANOLA, MISSISSIPPI, AND EXPRESSING THE SYMPATHY OF THE SENATE. 4 WHEREAS, Mel Triplett, the fullback for the Giants' 1956 5 National Football League champions, died Thursday, July 25, 2002, 6 in Toledo, Ohio. He was 71; and 7 WHEREAS, Melvin Christopher Triplett was born December 24, 8 1930, in Indianola, Mississippi, the second of 12 children. He 9 was raised in Girard, Ohio, where he won 11 high school letters in 10 football, track and field, basketball and gymnastics; and 11 WHEREAS, he received 26 scholarship offers to play football. 12 He chose the University of Toledo, won letters all four years at 13 Toledo before the Giants drafted him in the fifth round. After 14 his pro football career, he worked in a Toledo brewery and ran a 15 federal training program; and 16 WHEREAS, the 1956 National Football League Final was a 17 memorable game in which the Giants wore white sneakers on Yankee 18 Stadium's frozen turf while the Chicago Bears skidded around on 19 cleats; and 20 WHEREAS, in 1996, at a 40th Anniversary Celebration of that 21 championship, Sam Huff, the Giants' Hall of Fame middle 22 linebacker, recalled Triplett's 17-yard run in the game. "He ran 23 a trap in the middle," Huff told the New York Times, "and with his 24 head down he went straight over an official and into the end zone 25 for our first touchdown." The Giants went on to a 47-7 victory 26 and Triplett was voted the Giants' Offensive Player of the Game. -
Cornell Football Legends Pete Gogolak • Just for Kicks
General Information Coaching/Sta Meet The Big Red 2007 Opponents 2006 YIR/Ivy League History/Records This Is Cornell www.CornellBigRed.com • 67 www.CornellBigRed.com History and Records and History History and Records and History 2007 Cornell Big Red Football Big Red 2007 Cornell Cornell Football Over A Century of Tradition Timeline 1869 The rst football game, an intramural con- Few collegiate football programs have the storied history of Cornell test featuring 40 players per side, occurs University. With 120 seasons of football in the books, the Big Red has col- on campus. 1874 lected ) ve national titles, won 600 games and has had legendary players Cornell president Andrew D. White refuses to let Cornellians travel for a football game and coaches perform on historic Schoellkopf Field. Names such as Glenn against Michigan in Cleveland because “I refuse to let 40 of our boys travel 400 miles “Pop” Warner and Heisman Trophy ) nalist and NCAA record-breaker Ed merely to agitate a bag of wind.” General Information General Marinaro have suited up for Cornell, while seven College Football Hall of 1887 Cornell relents, and the rst intercollegiate Famers (including Warner, Gil Dobie and Carl Snavely) and multiple-time game under modern rules is played against Union College on No. 12, 1887. Union wins Super Bowl winner George Seifert have set the strategy as head coaches. the game 24-10 in the contest played where Now, with Cornell alum Jim Knowles ‘87 leading the program, there’s little Day and Stimson halls stand today. 1888 doubt that history will continue to be made. -
Twins Notes, 6-16 Vs. KC
MINNESOTA TWINS (47-22) VS. KANSAS CITY ROYALS (22-48) SUNDAY, JUNE 16, 2019 - 1:10 PM (CT) - TV: FOX SPORTS NORTH RADIO: TIBN-WCCO / TWINSBEISBOL.COM GAME 70 LHP Martín Pérez (7-2, 3.97) vs. RHP Jakob Junis (4-6, 5.35) HOME GAME 34 Upcoming Probable Pitchers & Broadcast Schedule Date Opponent Probable Pitchers Time Television Radio / Spanish Radio 6/17 vs. Boston RHP José Berríos (8-2, 3.01) vs. RHP Rick Porcello (4-6, 4.69) 7:10 pm (CT) Fox Sports North TIBN-WCCO / None 6/18 vs. Boston RHP Michael Pineda (4-3, 5.04) vs. LHP David Price (4-2, 3.52) 7:10 pm (CT) Fox Sports North TIBN-WCCO / twinsbeisbol.com 6/19 vs. Boston RHP Kyle Gibson (7-3, 3.70) vs. LHP Eduardo Rodriguez (7-4, 4.67) 7:10 pm (CT) Fox Sports North TIBN-WCCO / None Games can be heard via the Twins website at twinsbaseball.com. All game times are listed as Central. SEASON AT A GLANCE THE TWINS: The Twins have gone 4-1 through five games on their nine-game homestand, STREAKS going 2-1 vs. the Mariners and 2-0 vs. the Royals...today the Twins will play the three-game Record: ........................................... 47-22 Current Streak 3 wins Home Record: ................................. 23-10 series finale before welcoming in Boston for three night games from Monday-Wednesday...the Road Record: .................................. 24-12 Twins have won 5 of their last 6, 7 of their last 9, 17 of their last 23 and 22 of their last 29.