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id stringlengths 40 40	title stringlengths 15 120	text stringlengths 41 3.14k	source stringclasses 2 values
07b5a4612cb979d6e5a882310dfe14bf659d0c45	john barber (born june 27, 1927) is an	john barber (born june 27, 1927) is an american former professional basketball player. he played collegiately for california state university, los angeles and was selected by the minneapolis lakers in the 1956 nba draft. barber played for the st. louis hawks in the nba for five games during the 1956–57 season. he is th...	wikipedia
9f8b28edf9fe49231a2ec56f04b05600c1e54a96	craig cameron mello is an american biologist and	craig cameron mello is an american biologist and professor of molecular medicine at the university of massachusetts medical school in worcester, massachusetts. he was awarded the 2006 nobel prize for physiology or medicine, along with andrew z. fire, for the discovery of rna interference. this research was conducted at...	wikipedia
599aead4843b73b39c45eba9b253f1ffc01633d4	mello is involved in several rnai-based biotechnology companies.	mello is involved in several rnai-based biotechnology companies. he is a co-founder of rxi pharmaceuticals where he chairs the scientific advisory board. in june 2010, he joined the technology advisory board of beeologics, a company focused on development of rnai products for honeybee health and various veterinary and ...	wikipedia
07dd6c816c5bd4a9d5cb1e34b48676954929f5d3	science is a unifier. science values questions rather	science is a unifier. science values questions rather than beliefs. science provides a path for humans to learn about their world, it helps us to create new knowledge and advance our cultures. there are so many forces that divide people; barriers of language, custom, ideology, and belief. science counteracts these forc...	wikipedia
d51c4af73e571882e4e7e4999bd8ad53d69c0988	mello and fire's research, conducted at the carnegie	mello and fire's research, conducted at the carnegie institution for science (fire) and the university of massachusetts medical school (mello), had shown that in fact rna plays a key role in gene regulation. according to professor nick hastie, director of the medical research council 's human genetics unit, said: "it i...	wikipedia
47120030e6825b34b17979a9a94959d54cf5b4c6	in the annual howard hughes medical institute scientific	in the annual howard hughes medical institute scientific meeting held on november 13, 2006 in ashburn, virginia, mello recounted the phone call that he received announcing that he had won the prize. he recalls that it was shortly after 4:30 am and he had just finished checking on his daughter, and returned to his bedro...	wikipedia
21da6069ffc78f3a8a474f13c946704501bd761d	in 2006, mello and fire received the nobel	in 2006, mello and fire received the nobel prize for work that began in 1998, when mello and fire along with their colleagues (siqun xu, mary montgomery, stephen kostas, and sam driver) published a paper in the journal nature detailing how tiny snippets of rna fool the cell into destroying the gene's messenger rna (mrn...	wikipedia
99197c2608c0ce9ac07cab55e754e50c02e95e81	mello attended the university of colorado, boulder for	mello attended the university of colorado, boulder for graduate studies in molecular, cellular and developmental biology with david hirsh. after hirsh decided to take a position in industry, mello moved to harvard university where he could continue his research with dan stinchcomb. mello completed his ph.d. at harvard ...	wikipedia
001859e86026a771bd9fac7e6291f8319b4049d0	mello attended fairfax high school (fairfax, virginia). after	mello attended fairfax high school (fairfax, virginia). after receiving his high school diploma, mello attended brown university as a biochemistry and molecular biology major. kenneth miller, his cell biology instructor, recounted that although he did not receive the "best grades of the class," he was intensely curious...	wikipedia
cabaf566f30ad495ed8649a373faf8f24538079b	the mello family had a very strong tradition	the mello family had a very strong tradition of discussions around the dinner table and this experience was very important to young mello. he learned to argue, to listen, and to admit it when he was wrong about something. at a time when young mello was not performing so well in school, these daily discussions helped to...	wikipedia
03efdd16681b5d5ffb88ba87964851b6b833bd82	after a brief stay in falls church, the	after a brief stay in falls church, the family moved to fairfax, virginia, when james mello switched from the usgs to a position as assistant director at the smithsonian museum of natural history. among craig's fondest early memories were field trips with his father and the whole family to colorado and wyoming and more...	wikipedia
af437fd7e8a4ddbbc25d5d62db0b82ac5815fe47	mello was born in new haven, connecticut on	mello was born in new haven, connecticut on october 18, 1960. he was the third child of james and sally mello. his father, james mello, was a paleontologist and his mother, sally mello, was an artist. his paternal grandparents immigrated to the us from the portuguese islands of azores. his parents met while attending b...	wikipedia
73b4dec11354f1cf09ad65fc02cc313fc55ff68e	craig cameron mello (born october 18, 1960) is	craig cameron mello (born october 18, 1960) is an american biologist and professor of molecular medicine at the university of massachusetts medical school in worcester, massachusetts. he was awarded the 2006 nobel prize for physiology or medicine, along with andrew z. fire, for the discovery of rna interference. this r...	wikipedia
33cd3a1a4f09109aafad1b3fff9491b5eb50fbd9	in set theory, the cardinality of the continuum	in set theory, the cardinality of the continuum is the cardinality or "size" of the set of real numbers r , sometimes called the continuum. it is an infinite cardinal number and is denoted by c (lowercase fraktur "c") or \| r \| the real numbers r are more numerous than the natural numbers n . moreover, r has the same nu...	wikipedia
4eaec34516a73ae3b056fd45ffe36301c40e7db2	this statement is now known to be independent	this statement is now known to be independent of the axioms of zermelo–fraenkel set theory with the axiom of choice (zfc), as shown by kurt gödel and paul cohen. that is, both the hypothesis and its negation are consistent with these axioms. in fact, for every nonzero natural number n, the equality c {\displaystyle {\m...	wikipedia
4944e944630a717318b17479dd5a7be0396cc220	the continuum hypothesis asserts that c {\displaystyle {\mathfrak	the continuum hypothesis asserts that c {\displaystyle {\mathfrak {c}}} is also the second aleph number, ℵ 1 {\displaystyle \aleph _{1}}. in other words, the continuum hypothesis states that there is no set a {\displaystyle a} whose cardinality lies strictly between ℵ 0 {\displaystyle \aleph _{0}} and c {\displaystyle ...	wikipedia
81d70cadf592b38cd28e536ef1aa2adcecde2eff	the sequence of beth numbers is defined by	the sequence of beth numbers is defined by setting ℶ 0 = ℵ 0 {\displaystyle \beth _{0}=\aleph _{0}} and ℶ k + 1 = 2 ℶ k {\displaystyle \beth _{k+1}=2^{\beth _{k}}}. so c {\displaystyle {\mathfrak {c}}} is the second beth number, beth-one:	wikipedia
3799f317561ed7c3b0a43a890f4ca65e7220a473	on the other hand, if we map 2	on the other hand, if we map 2 = { 0, 1 } {\displaystyle 2=\{0,1\}} to { 3, 7 } {\displaystyle \{3,7\}} and consider that decimal fractions containing only 3 or 7 are only a part of the real numbers, then we get	wikipedia
00887fad89d1baac336fe52f516ed108748824d7	in any given case, the number of decimal	in any given case, the number of decimal places is countable since they can be put into a one-to-one correspondence with the set of natural numbers n {\displaystyle \mathbb {n} }. this makes it sensible to talk about, say, the first, the one-hundredth, or the millionth decimal place of π. since the natural numbers have...	wikipedia
b4de71164465d81e3fa1d78a282c3c9f37f1a6aa	where 2 c {\displaystyle 2^{\mathfrak {c}}} is the	where 2 c {\displaystyle 2^{\mathfrak {c}}} is the cardinality of the power set of r, and 2 c > c {\displaystyle 2^{\mathfrak {c}}>{\mathfrak {c}}}.	wikipedia
c7bd5be84d591ca14d7000cd5a502cf50023c4ef	a variation of cantor's diagonal argument can be	a variation of cantor's diagonal argument can be used to prove cantor's theorem, which states that the cardinality of any set is strictly less than that of its power set. that is, \| a \| < 2 \| a \| {\displaystyle \|a\|<2^{\|a\|}} (and so that the power set ℘ (n) {\displaystyle \wp (\mathbb {n})} of the natural numbers n {\di...	wikipedia
ac3d9d592259e2b96b39788eaf063b4fab4f40d3	in practice, this means that there are strictly	in practice, this means that there are strictly more real numbers than there are integers. cantor proved this statement in several different ways. for more information on this topic, see cantor's first uncountability proof and cantor's diagonal argument.	wikipedia
5a867dc0321a6138e1d941ad7aa0c5832afcf703	georg cantor introduced the concept of cardinality to	georg cantor introduced the concept of cardinality to compare the sizes of infinite sets. he famously showed that the set of real numbers is uncountably infinite. that is, c {\displaystyle {\mathfrak {c}}} is strictly greater than the cardinality of the natural numbers, ℵ 0 {\displaystyle \aleph _{0}}:	wikipedia
9940b68e908c829342a983335824697625a5146c	the smallest infinite cardinal number is ℵ 0	the smallest infinite cardinal number is ℵ 0 {\displaystyle \aleph _{0}} (aleph-null). the second smallest is ℵ 1 {\displaystyle \aleph _{1}} (aleph-one). the continuum hypothesis, which asserts that there are no sets whose cardinality is strictly between ℵ 0 {\displaystyle \aleph _{0}} and c {\displaystyle {\mathfrak ...	wikipedia
0341281edf377dd2d03beaae92652adcc849200e	between any two real numbers a < b,	between any two real numbers a < b, no matter how close they are to each other, there are always infinitely many other real numbers, and cantor showed that they are as many as those contained in the whole set of real numbers. in other words, the open interval (a, b) is equinumerous with r {\displaystyle \mathbb {r} }, ...	wikipedia
9baead737200b91ef7747fa3e3f783c29245cd95	this was proven by georg cantor in his	this was proven by georg cantor in his uncountability proof of 1874, part of his groundbreaking study of different infinities. the inequality was later stated more simply in his diagonal argument in 1891. cantor defined cardinality in terms of bijective functions: two sets have the same cardinality if, and only if, the...	wikipedia
7b7cc6d32e2dade35de45981f5ff8a06e8108ff0	the real numbers r {\displaystyle \mathbb {r} }	the real numbers r {\displaystyle \mathbb {r} } are more numerous than the natural numbers n {\displaystyle \mathbb {n} }. moreover, r {\displaystyle \mathbb {r} } has the same number of elements as the power set of n {\displaystyle \mathbb {n} }. symbolically, if the cardinality of n {\displaystyle \mathbb {n} } is de...	wikipedia
82baed70692059c2e5cf22ac6d8f3a141314d528	in set theory, the cardinality of the continuum	in set theory, the cardinality of the continuum is the cardinality or "size" of the set of real numbers r {\displaystyle \mathbb {r} }, sometimes called the continuum. it is an infinite cardinal number and is denoted by c {\displaystyle {\mathbf {\mathfrak {c}}}} (lowercase fraktur " c ") or \| r \| {\displaystyle {\math...	wikipedia
bc7b7ea50f9cb64edfc18884c2888ceb0591a880	mark thomas streit is a swiss former professional	mark thomas streit is a swiss former professional ice hockey defenceman. he was formerly the captain of both the new york islanders and the swiss national team. streit was one of the few swingmen in the nhl who could play both as a defenceman and as a forward. he was inducted into the iihf hall of fame in 2020.	wikipedia
8367659bbecf4ad5a8523bf1f31810088821526d	as streit was named team captain at the	as streit was named team captain at the 2006 winter olympics in turin, switzerland improved to sixth, topping international giants czech republic and canada in their preliminary games. streit scored the game-winning goal against the czechs to defeat them 3–2 in the swiss' second round-robin game, then assisted on the s...	wikipedia
3be873051d7cc9e7fc7a0f224f533ea4f2edf630	in 1998, streit appeared in his first of	in 1998, streit appeared in his first of ten consecutive world championships. playing as the host nation, switzerland finished a surprising fourth, falling to the czech republic in the bronze-medal game. he scored an international career-best seven points in seven games in 2005, as switzerland advanced to the quarter-f...	wikipedia
92946ac835191157245a444079af65b95bc768ad	streit made his international debut at the 1995	streit made his international debut at the 1995 european junior championships, then appeared in his first of two world junior championships in 1996. he scored one goal in five games as switzerland finished ninth. in 1997, he scored two goals and switzerland improved to seventh.	wikipedia
b97c37f45dc66ee57842f4ab20afa9c0352b0513	on 25 july 2017, streit signed as a	on 25 july 2017, streit signed as a free agent to a one-year, $700,000 deal in a return to the montreal canadiens. on 12 october 2017, the canadiens placed streit on waivers just 4 games into the season. he cleared waivers, but refused to report to the canadiens' ahl affiliate, the laval rocket. consequently, streit wa...	wikipedia
9b245fc4c341ef2dfa10ab52fbaeaeafcc4b90ba	on 1 march 2017, streit was traded hours	on 1 march 2017, streit was traded hours before the deadline in a deal with the tampa bay lightning where the flyers received valtteri filppula, a fourth-round pick in the 2017 nhl draft, and a conditional seventh-round pick. the tampa bay lightning then instantly traded him to the pittsburgh penguins for a fourth-roun...	wikipedia
1e3522a99f4b3d3376083be4c66c2fb18f058248	streit returned to the flyers for what would	streit returned to the flyers for what would be his final season with the team. as with his previous seasons, streit began the season producing offensively and defensively for the flyers. by 12 december 2016, he averaged nearly 20 minutes per game, including 2:23 on the team's power play, and led all team defencemen in...	wikipedia
982494ff943efbbeb99e78674358d94a3a863212	the 2014–15 season would prove to be his	the 2014–15 season would prove to be his most productive with the flyers as his next two seasons were marred with injuries. although streit began the 2015–16 season healthy, he suffered a pelvic injury in mid-november and required surgery. at the time of the injury, he had accumulated three goals and six assists. after...	wikipedia
3616bc3ac2e36927f78d5c126a9ab87c00449d6c	following the 2013–14 season, streit was named an	following the 2013–14 season, streit was named an alternate captain for the flyers alongside wayne simmonds and captain claude giroux. as a result of a long term injury to kimmo timonen, streit stepped into a larger role on the flyers top power play unit. during the pre-season, streit led all defensemen in scoring and ...	wikipedia
24309faf6a100062979d44e4beb1fda05ab8dff3	streit, who became an unrestricted free agent entering	streit, who became an unrestricted free agent entering the summer of 2013, had his rights traded from the islanders to the philadelphia flyers on 12 june 2013, for shane harper and a fourth-round draft pick in the 2014 nhl entry draft. although contract negotiations were lengthy, streit signed a four-year, $21 million ...	wikipedia
cf8764a1a9f4bad65728cf72b6eb81ec2a2ac8a7	coming off a breakout campaign, streit became an	coming off a breakout campaign, streit became an unrestricted free agent on 1 july 2008, and signed a five-year, $20.5 million contract with the new york islanders. upon signing with the islanders, streit became the second-highest paid swiss professional athlete, behind roger federer. during his first season with the i...	wikipedia
db8fedcedaa0ca0571ca1ff938f0d739c9883337	streit continued to make strides the following season,	streit continued to make strides the following season, improving to 36 points in 76 games before emerging as an elite nhl defenceman in his third season with the canadiens. in the 2007–08 season, he finished third in league scoring among defencemen, behind nicklas lidström and sergei gonchar, with 62 points in 81 games...	wikipedia