Author Archives: Sung Lee

107 cancer papers retracted due to peer review fraud

There was a report at ars Technica that the journal Tumor Biology is retracting staggering 107 research papers due to fraudulent peer review process. It appears that such practice has been an on-going business. According to the report, last year … Continue reading

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Are We Alone in the Universe After All?

In the movie Contact (which is based on the novel with the same title by Carl Sagan), Ellie Arroway (played by Jodie Foster) was speaking to a group of children: “I’ll tell you one thing about the universe, though. The … Continue reading

Posted in Astronomy, Astrophysics, Space | Leave a comment

A Notable Quote on Richard Feynman

From Freeman Dyson, “Disturbing the Universe”, Harper & Row, New York, 1979: “Dick was also a profoundly original scientist. He refused to take anybody’s word for anything. This meant that he was forced to rediscover or reinvent for himself almost … Continue reading

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$\sum_{n=0}^\infty e^{nix}$ is Cesàro Summable

Back when I was a Ph.D. student, a friend of mine (he was a Ph.D. student in physics studying laser optics) asked me if the series $\sum_{n=0}^\infty e^{nix}$ converges. I vaguely remember that his advisor needed to have a finite … Continue reading

Posted in Summability Methods | 5 Comments

$1+2+3+4+\cdots=-\frac{1}{12}$?

No, folks! I am not drunk nor I am pot-headed. Yet, I am about to discuss the crazy identity $$1+2+3+4+\cdots=-\frac{1}{12}.$$ No, I am not joking either. This is actually pretty serious mathematics and is also pretty serious stuff even to … Continue reading

Posted in Foundations of Mathematics, Summability Methods | 4 Comments