Talk:Multiplication and Miguel Tejada: Difference between pages

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{{Infobox MLB player|
{{maths rating|class=Start|importance=top|field=basics}}
bgcolor1=#000000|
Old article:
bgcolor2=#F87217|
textcolor1=white|
textcolor2=white|
name=Miguel Tejada|
image=800px-Miguel_Tejada2.JPG|
width=200|
position=Shortstop|
team=Baltimore Orioles|
number=10|
bats=Right|
throws=Right|
birthdate={{birth date and age|1976|5|25}}|
debutdate=August 27|
debutyear=1997|
debutteam=Oakland Athletics|
statyear=April 21, 2007|
stat1label=[[Batting average]]|
stat1value=.286|
stat2label=[[Home runs]]|
stat2value=241|
stat3label=[[RBI's]]|
stat3value=957|
formerteams=<nowiki></nowiki>
*[[Oakland Athletics]] ([[1997 in baseball|1997]]-[[2003 in baseball|2003]])
}}
'''Miguel Odalis Tejada''' (born [[May 25]], [[1976]]), nicknamed "''Miggy''", is currently the [[shortstop]] of the [[Baltimore Orioles]] [[Major League Baseball]] team.
 
==Early life==
For every assortment (unique or otherwise) of numbers there is a unique number called the product. Any two numbers in such an assortment can be replaced with their product without effecting any change in the product of the assortment. Any number of ones can be added or removed with no change in the product. Assortments with products other than zero contain only numbers other than zero.
Tejada grew up in extreme poverty in [[Baní]], a city approximately 40 miles southwest of [[Santo Domingo]], capital of the [[Dominican Republic]]. Miguel Tejada grew up idolizing the Baltimore Orioles SS Cal Ripken Jr.
At age 17 his childhood dream of playing professional baseball was realized when he signed with the [[Oakland Athletics]] for $2000.
 
==Oakland A's==
The word multiplication also is used to refer to reproduction.
Tejada developed quickly into a top-notch prospect, showing early signs of power. He reached the majors towards the end of the 1997 season, joining a struggling Oakland Athletics club. Though he only hit .202 in 26 games that year, the A's saw potential in the 21-year-old Tejada and gave him the starting shortstop job beginning in 1998.
<hr>
 
The A's, and Tejada, steadily improved over the next two years. His hitting improved as he gained more discipline at the plate. In 1998, he hit .233 with 11 [[home run]]s and in 1999 his average jumped to .251 with 21 home runs.
"Any two numbers in such an assortment can be replaced with their product without effecting any change in the product of the assortment."
 
After a solid 87-win campaign in 1999, Tejada and a core of young players led their A's to their first [[American League]] [[Western Division]] title in eight years in 2000. Bolstered by an [[MLB Most Valuable Player Award|American League MVP]]-winning performance by [[first baseman]] [[Jason Giambi]], and aided by Tejada's .275 average and 30 home runs, the A's won 91 games. The A's faced the [[New York Yankees]] in the first round of the postseason, which was won by the Yankees 3-2 in Oakland. The Yankees would go on to win the [[World Series]] that year, their fourth championship in five years.
This isn't a property of multiplication. This is a property of algebra that states for B = A, B can be substituted for A in any expression without effecting the value of the expression.
 
In 2001, Tejada had a comparable offensive year, hitting .267 with 31 homers. The A's captured the American League [[wild card (sports)|wild card]] with a 102-60 record. In the postseason, however, the A's fell to the Yankees in five games, blowing an initial 2-0 series lead.
The note on reproduction should probably be re-added, though.--BlackGriffen
----
No, no, you're both missing the point of the original article (which is not mine, but I know enough about [[:group theory|group theory]] to understand it). The text above describes the meaning of "multiplication" in group theory, which is any operation (such as ''traditional'' multiplication, which the article now describes) that has the properties noted. The specific property mentioned above is ''not'' simple one-for-one substitution. Read it again: it's two-for-one substitution. For any collection of numbers, any ''two'' can be removed and replaced by the ''one'' number which is the product of those two numbers, and the product of the collection will stay the same. --LDC
 
Tejada's breakout year came in 2002. With the departure of Jason Giambi to the New York Yankees during the offseason, and a leg injury to slugger [[Jermaine Dye]], the A's lost two of their key offensive players. Tejada hit .308 with 34 homers and led the A's to their second Western Division title in three years. Their campaign included an American League record 20 game win-streak. Tejada contributed one-out, game-winning hits in the 18th and 19th games of that run: a three-run homer off [[Minnesota Twins]] closer Eddie Guardado for a 7-5 victory and a bases-loaded single against [[Kansas City Royals]] reliever Jason Grimsley to break a 6-6 tie. Tejada also showed modest speed on the basepaths with 18 steals over a two-year stretch. His performance was rewarded with the 2002 American League MVP award. For the third straight year, though, the A's fell in the fifth game of the ALDS, this time to the [[Minnesota Twins]].
----
 
The next year, both the A's and Tejada got off to a slow start, with the shortstop hitting under [[Mendoza line|.200]] for the first month of the season. Improved play in the second half of the season led the A's to their second straight Western Division title and their third in four years. Tejada hit .278 with 27 homers for the year, a decrease from his numbers in 2002, but still leading many offensive categories for shortstops.
Would it be too much trouble to motivate how multiplication gets defined for the rationals and reals? Also, the first paragraph is problematic in defining multiplication as repeated addition; how do you add 2.5 to itself 3.7 times? --[[User:Ryguasu|Ryguasu]] 01:56 Feb 25, 2003 (UTC)
 
In a tension-filled series, the powerful offense of the [[Boston Red Sox]] narrowly edged out the A's in the first round, once again in five games. Tejada was known for his public display of anger toward Boston starting pitcher [[Derek Lowe]] at the series' conclusion for what he perceived as obscene gestures. Lowe denied the accusation, claiming his fist pump was in celebration only.
 
By the end of the 2003 season, Tejada had established himself as one of baseball's premier shortstops. The A's elected not to resign the free agent, citing budget concerns and a young [[Bobby Crosby]] coming through the system, so Tejada signed a six-year, $72 million deal with the Baltimore Orioles during the offseason.
 
As an Oriole, Tejada follows in the footsteps of legendary Baltimore shortstop [[Cal Ripken Jr.]]. Like Ripken, Tejada is a strong and durable shortstop with unusual power numbers for a middle infielder. Ripken currently holds baseball's record for consecutive games played at 2,632. Tejada played in his 1,000th [[MLB consecutive games played streaks|consecutive game]] on July 1, 2006--currently the seventh-longest streak of all-time. As of the end of the 2006 season, Tejada's streak stood at 1,080 games. Were he not to miss a game, he would approach Ripken's record in [[2016]]. Tejada has repeatedly asserted that he is not interested in breaking Ripken's record.
== error... :S ==
 
Some say Miguel Tejada is the best offensive shortstop in Major League Baseball, a claim well supported by his statistics. Teammate [[Brian Roberts]] told [[Peter Gammons]] that Tejada is the best player in the game because, "He has an uncanny ability to knock in runs ... his energy. He is always up, pushing everyone and making the entire team better." Orioles' hitting instructor Terry Crowley said, "This franchise changed the day he arrived."
I think there is an error, when defining the infinite products from -oo to +oo as the sum of two limits, instead of the product.
 
During the offseason, Tejada resides in the Dominican Republic with his wife, Alessandra, his daughter, Alexa, and his son, Miguel Jr.
Marçal
 
[[Image:Tejada_press.jpg|thumb|250px|left|Miguel Tejada talks to reporter Kelli Johnson 2005.]][[Image:Tejada.jpg|thumb|right|Tejada at the 2004 Home Run Derby]]
== Multiplication for non-integers ==
Could anyone write about how to define multiplication for non-integers in the article? (Current, it says one can define multiplication for real numbers but does not say how.) Or more like is it impossible? -- [[User:TakuyaMurata|Taku]] 18:45, Apr 2, 2005 (UTC)
 
On [[July 12]], [[2004]], Tejada won the [[Century 21]] [[Home Run Derby]] in [[Houston]]. Tejada hit a record 27 [[home runs]] in the contest, with a record 15 homers in the second round. He defeated [[Houston Astros]] outfielder [[Lance Berkman]] 5-4 in the final round of the contest. Both records were broken the following year in [[Detroit]] by [[Bobby Abreu]].
:I will try to do so, or at least put an adequate link.
:The idea is that rationals are obtained from integers by [[localization]], and reals are obtained from rationals as [[factor ring]], idem for complex numbers from reals. Both operations involve an injective ring morphism, so that the result of multiplication remains the same for elements of the previous subset. [[User:MFH|MFH]] 17:42, 5 Apr 2005 (UTC)
 
Tejada led the league with 150 RBI's in 2004.
:: In other words, one first defines the multiplication of integers, then the multiplication of rationals in the usual way, by multiplying the numerators in denominators. After that, if one wants to multiply to real numbers, one approximates them by rationals and multiplies the rationals instead. Of course, to make this rigurous, you create two sequences of rational numbers converging to the two real numbers, then the product of that pair of rationals converges to the product of the pair of reals.
 
While Tejada did not participate in the Home Run Derby in [[2005]], he was an [[2005 Major League Baseball All-Star Game|All-Star]] and starter for the [[American League|AL]]. In his first All-Star start, Tejada hit a solo [[home run]] against [[John Smoltz]] of the [[Atlanta Braves]], had a sacrifice RBI and was part of an all-Oriole double play with teammate [[Brian Roberts]]. His efforts earned him the [[Major League Baseball All-Star Game|All-Star MVP]], winning a [[Chevrolet Corvette]].
:: I could go in more detail if necessary. [[User:Oleg Alexandrov|Oleg Alexandrov]] 17:58, 5 Apr 2005 (UTC)
 
On [[December 8]], [[2005]], it was widely reported by the [[Associated Press]] that Tejada asked the Orioles for a trade, citing unhappiness with the team's direction. Tejada challenged those statements in an interview with [[Comcast]] Sportsnet's Kelli Johnson, saying he only asked for a better team, referring to his hope that the Baltimore Orioles would improve after their eighth straight losing season.
:There is another way to address multiplication for the rationals which doesn't require localization. Define non-zero rationals to be pairs of non-zero integers and with the multiplication induced from Z(+)Z quotient the set by the equivalence relation (a,b)~(c,d) iff ad = bc. If you want a more algebraic sort of quotient, you can describe the multiplicative structure of Z\{0}(+)Z\{0} as a semigroup.
:As for the reals in my opinion the best way to characterize them is as the fraction field of power series in one variable with coefficients in Z/pZ quotiented by (x-1/p). As we exploit the fraction field construction, we might as well use localization in defining the rationals. TJSwaine 12:10 3/24/2006
 
Several weeks later, Tejada reiterated his complaints with the Orioles' lack of action and demanded to be traded, sparking immediate rumors of a trade to the [[Boston Red Sox]] for pitcher [[Matt Clement]] and outfielder [[Manny Ramirez]]. Tejada stated that he wants a "good group that helps me to win" and commented briefly on his alleged non-involvement in Palmeiro's steroid scandal.
== Add m to itself n times ==
 
Rumors went around in early 2006 that Tejada might be traded to the Red Sox or Cubs. But on [[January 7]], [[2006 in baseball|2006]], Tejada stated his intent to remain with Baltimore for "the rest of [his] career." This statement was made to Orioles Vice President [[Jim Duquette]] in a meeting arranged by mutual friend and teammate [[Melvin Mora]].
I think in the Discussion section "Add m to itself n times" should actually read "Add m to itself n-1 times". Adding m to itself once is m+m. --[[User:Heycam|Heycam]] 08:45, 9 Apr 2005 (UTC)
 
==[[Rafael Palmeiro]]==
On [[September 22]], [[2005]], [[ESPN]] reported that [[Rafael Palmeiro]], who had tested positive for steroids and was suspended for 10 games under Major League Baseball's steroid policy, implicated Tejada to baseball's arbitration panel, suggesting that a supplement given to him by Tejada was responsible for the steroid entering his system. Tejada has denied the allegations<ref>{{cite news | url = http://sports.espn.go.com/mlb/news/story?id=2169007 | title = Palmeiro named Tejada before panel | publisher = [[ESPN]] | date = [[2005-09-23]] | accessdate = 2006-10-04 }}</ref>, saying that the only thing he gave Palmeiro was vitamin B-12, a completely legal substance under current MLB policy.
 
On [[September 24]], [[2005]], The [[Baltimore Sun]] reported that "''The Health Policy Advisory Committee, which oversees baseball's testing policy, issued a statement that exonerated Tejada and chastised the media for reporting that he might have distributed steroids to another player.''"[http://www.baltimoresun.com/sports/baseball/bal-sp.palmeiro24sep24,1,3325405.story?coll=bal-home-headlines:Cite_Sources]
In my opinion n x m, which reads as n times m, should be interpreted as m+m+...+m, rather than n+n+...+n. I can imagine laying 5 times a pound on a table, but hardly laying a pound times 5. [[User:130.89.220.52|130.89.220.52]] 21:19, 16 Apr 2005 (UTC)
 
In [[José Canseco]]'s book, ''[[Juiced: Wild Times, Rampant 'Roids, Smash Hits & How Baseball Got Big]]'', he mentions that he believes Tejada might have taken steroids. He claims to have spoken to him about them and the next season seeing him at spring training looking more defined. He never claims to have injected him with them, like he did with Palmeiro, McGwire and other ballplayers.
 
On [[September 30]], [[2006]] the ''[[Los Angeles Times]]'' reported that former relief pitcher [[Jason Grimsley]], during a [[June 6]], 2006 federal raid, told federal agents investigating steroids in baseball named Tejada as a user of "[[anabolic steroids]]." The ''Times'' reported that Tejada was one of five names blacked out in an affidavit filed in federal court.<ref>{{cite news
==Multiplication tricks==
|url=http://www.latimes.com/sports/la-sp-clemens1oct01,0,6499528.story?coll=la-home-headlines
|title=Clemens Is Named in Drug Affidavit
|last=Pugmire
|first=Lance
|accessdate=2006-10-01
|date=[[2006-10-01]]
|publisher=[[Los Angeles Times]]
}}</ref> However, on [[October 3]], 2006, the ''[[Washington Post]]'' reported that [[San Francisco]] United States attorney Kevin Ryan said that the ''Los Angeles Times'' report contained "significant inaccuracies."<ref name = WashingtonPost>
{{cite news
| url = http://www.washingtonpost.com/wp-dyn/content/article/2006/10/02/AR2006100201054.html
| title = U.S. Attorney Says Report Alleging Drug Use Contains 'Inaccuracies'
| publisher = [[Washington Post]]
| page = E02
| date = [[2006-10-03]]
| accessdate = 2006-10-04
}}</ref> Tejada, along with the other four players named, has denounced the story.<ref name = WashingtonPost/>
How dare Raffy ever say that of a teammate of Tejada's greatness!!
 
== References ==
There are many tricks out there, we've all seen those mofo's who use their fingers to multiply things like primative abacii and envied them terribly. I recently learnt the trick to the nine times table one, there are many more; further there are many simplistic methods of dealing with even large number multiplication. If I were to do a summary of the nine times in a seperate article and link it through to here, would anyone else be willing to take on the challenge of equalising for all the geeky kids out there who went through the same mathmatically repressed childhoods that us non-finger-jedi-masters went through with me? :P [[User:Jachin|Jachin]] 12:23, 11 May 2006 (UTC)
<!--See http://en.wikipedia.org/wiki/Wikipedia:Footnotes for an explanation of how to generate footnotes using the <ref(erences/)> tags-->
<references />
 
{{start box}}
== Quaternions ==
{{succession box | before = [[Ichiro Suzuki]] | title = [[MLB Most Valuable Player award|American League Most Valuable Player]]| years = [[2002 in baseball|2002]] | after = [[Alex Rodriguez]]}}
{{succession box | before = [[Garret Anderson]] | title = [[Home Run Derby|Home Run Derby Champion]]| years = [[2004]] | after = [[Bobby Abreu]]}}
{{succession box | title=[[List of Major League Baseball RBI champions|American League RBI Champion]] | before=[[Carlos Delgado]] | years=[[2004]]| after= [[David Ortiz]]}}
{{succession box | title=[[Major League Baseball All-Star Game]]<br> Most Valuable Player| before= [[Alfonso Soriano]] | years=2005| after= [[Michael Young (baseball player)|Michael Young]]}}
{{end box}}
 
==See also==
In the section on properties, should it be mentioned that commutativity doesn't hold over <math>\mathbb{H}</math>?
*[[MLB consecutive games played streaks]]
:I'm not sure either way. This article's scope isn't terribly clear to me. Noncommutativity is mentioned at [[Product (mathematics)]], at least. [[User:Melchoir|Melchoir]] 18:37, 29 June 2006 (UTC)
*[[List of players from Dominican Republic in Major League Baseball]]
:Never mind, I'm stupid; ArnoldReinhold already worked it in! [[User:Melchoir|Melchoir]] 18:41, 29 June 2006 (UTC)
 
==External links==
== Correction to Multiplying Fractions example ==
*[http://www.jockbio.com/Bios/Tejada/Tejada_bio.html In-depth biography]
*{{baseball-reference|id=t/tejadmi01}}
*{{espn mlb|id=5888|name=Miquel Tejada}}
*[http://mlb.mlb.com/NASApp/mlb/team/player.jsp?player_id=123173 MLB.com profile]
 
[[Category:American League All-Stars|Tejada, Miguel]]
I made a change to the example of multiplying fractions in the introduction. It used to say "a/b × c/d = ac/bd" and I changes it to "a/b × c/d = (ac)/(bd)" [[User:Meshach|meshach]]
[[Category:American League RBI champions|Tejada, Miguel]]
[[Category:Baltimore Orioles players|Tejada, Miguel]]
[[Category:Oakland Athletics players|Tejada, Miguel]]
[[Category:Major league shortstops|Tejada, Miguel]]
[[Category:Dominican Republic baseball players|Tejada, Miguel]]
[[Category:1976 births|Tejada, Miguel]]
[[Category:Living people|Tejada, Miguel]]
[[Category:Major League Baseball All-Star Game MVPs|Tejada, Miguel]]
 
[[es:Miguel Tejada]]
::Definitely the parentheses in the denominator should be there to avoid what would be ambiguity at best. [[User:Michael Hardy|Michael Hardy]] 00:42, 3 July 2006 (UTC)
[[ja:ミゲル・テハダ]]