Problem: Clemens was born in Dayton, Ohio, the fifth child of Bill and Bess (Lee) Clemens. He is of German descent, his great-grandfather Joseph Clemens having immigrated in the 1880s. Clemens's parents separated when he was an infant. His mother soon married Woody Booher, whom Clemens considers his father.

Clemens unexpectedly appeared in the owner's box at Yankee Stadium on May 6, 2007, during the seventh-inning stretch of a game against the Seattle Mariners, and made a brief statement: "Thank y'all. Well they came and got me out of Texas, and uhh, I can tell you it's a privilege to be back. I'll be talkin' to y'all soon." It was simultaneously announced that Clemens had rejoined the Yankees roster, agreeing to a pro-rated one-year deal worth $28,000,022, or about $4.7 million per month. Over the contract life, he would make $18.7 million. This equated to just over $1 million per start that season. Clemens made his 2007 return on June 9, defeating the Pittsburgh Pirates by pitching six innings with seven strikeouts and 3 runs allowed. On June 21, with a single in the 5th inning against the Colorado Rockies, Clemens became the oldest New York Yankee to record a hit (44 years, 321 days). On June 24, Clemens pitched an inning in relief against the San Francisco Giants. It had been 22 years and 341 days since his previous regular-season relief appearance, the longest such gap in major league history. On July 2, Clemens collected his 350th win against the Minnesota Twins at Yankee Stadium, giving up just two hits and one run over eight innings. Clemens is one of only three pitchers to pitch his entire career in the live-ball era and reach 350 wins. The other two are Warren Spahn (whose catcher for his 350th win was Joe Torre, Clemens's manager for his 350th), and Greg Maddux, who earned his 350th win in 2008. His final regular season appearance was a start against the Red Sox at Fenway Park, in which he allowed 2 hits and 1 unearned run in 6 innings, and received a no-decision. Clemens finished the 2007 regular season with a record of 6-6 and a 4.18 ERA. Clemens was forced to leave Game 3 of the 2007 ALDS in the third inning after aggravating a hamstring injury. He struck out Victor Martinez of the Cleveland Indians with his final pitch, and was replaced by right-hander Phil Hughes. Yankees manager Joe Torre removed Clemens from the roster due to his injury, and replaced him with left-hander Ron Villone.

Did the team win a world series while he played?

Answer with quotes: Clemens was forced to leave Game 3 of the 2007 ALDS in the third inning after aggravating a hamstring injury.

Problem: Augusta Ada King-Noel, Countess of Lovelace (nee Byron; 10 December 1815 - 27 November 1852) was an English mathematician and writer, chiefly known for her work on Charles Babbage's proposed mechanical general-purpose computer, the Analytical Engine. She was the first to recognise that the machine had applications beyond pure calculation, and published the first algorithm intended to be carried out by such a machine. As a result, she is sometimes regarded as the first to recognise the full potential of a "computing machine" and the first computer programmer. Ada Lovelace was the only legitimate child of the poet Lord Byron, and his wife Anne Isabella "Annabella" Milbanke, Lady Wentworth.

Throughout her illnesses, she continued her education. Her mother's obsession with rooting out any of the insanity of which she accused Byron was one of the reasons that Ada was taught mathematics from an early age. She was privately schooled in mathematics and science by William Frend, William King, and Mary Somerville, the noted researcher and scientific author of the 19th century. One of her later tutors was the mathematician and logician Augustus De Morgan. From 1832, when she was seventeen, her mathematical abilities began to emerge, and her interest in mathematics dominated the majority of her adult life. In a letter to Lady Byron, De Morgan suggested that her daughter's skill in mathematics could lead her to become "an original mathematical investigator, perhaps of first-rate eminence". Lovelace often questioned basic assumptions by integrating poetry and science. While studying differential calculus, she wrote to De Morgan: I may remark that the curious transformations many formulae can undergo, the unsuspected and to a beginner apparently impossible identity of forms exceedingly dissimilar at first sight, is I think one of the chief difficulties in the early part of mathematical studies. I am often reminded of certain sprites and fairies one reads of, who are at one's elbows in one shape now, and the next minute in a form most dissimilar Lovelace believed that intuition and imagination were critical to effectively applying mathematical and scientific concepts. She valued metaphysics as much as mathematics, viewing both as tools for exploring "the unseen worlds around us".

Does the article mention any of her tutors or mentors?

Answer with quotes:
William Frend, William King, and Mary Somerville,