
Introduction
Why is it so hard to find ET? After 50 years of searching, the SETI project has so far found nothing. In the latest development, on April 14, 2015 Penn State researchers announced that after searching through satellite data on 100,000 galaxies, they saw no evidence, such as infrared signatures, indicative of advanced technological
Continue reading Desperately seeking ET: Fermi’s paradox turns 65 (Part II)
Introduction
Gravitational lensing revealing multiple copies of the same supernova
Sixty five years ago, in 1950, while having lunch with colleagues Edward Teller and Herbert York, who were chatting about a recent cartoon in the New Yorker depicting aliens abducting trash cans in flying saucers, Nobel physicist Enrico Fermi suddenly blurted out, “Where
Continue reading Where is ET? Fermi’s paradox turns 65
“I Prefer Pi” is appropriate title for Pi Day (3/14, i.e., March 14), as it is one of the few palindromes involving Pi = 3.141592653589793… (a palindrome is a phrase that reads the same forwards or backwards).
Pi Day is particularly memorable this year, since only once a century can one celebrate this event in
Continue reading I Prefer Pi: Background for Big Pi Day (3/14/15)
Prime numbers
In the field of mathematics, prime numbers are whole numbers that cannot be evenly divided by any integer other than itself and one. The first 12 prime numbers are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37. Although the study of prime numbers is a very old field of
Continue reading Is the nature of mathematical proof changing?
New Pew Research Center poll on scientists’ views versus public views
A new poll by the Pew Research Center has highlighted some stark differences between views of leading scientists, in particular members of the American Association for the Advancement of Science (AAAS), and those of the general U.S. public. The results are summarized in this
Continue reading Does public opinion always agree with scientific fact?
Amir Aczel, mathematician and author of a number of semipopular books on mathematics and science (see, for example, Fermat’s Last Theorem: Unlocking the Secret of an Ancient Mathematical Problem), has just published Finding Zero: A Mathematician’s Odyssey to Uncover the Origins of Numbers.
Aczel’s Finding Zero addresses a very significant historical question: What is the
Continue reading Amir Aczel’s Finding Zero
The twin prime and prime gap conjectures
Paul Erdos, one of the 20th century’s most famed mathematicians (19131996) was wellknown for offering prizes for the solution of various mathematical problems. Although most of these prizes were a token USD$25 or the like, he did offer a UDS$10,000 prize for the solution to a certain conjecture
Continue reading New results on the prime gap conjecture
Introduction
The world community is truly at a crossroads like never before faced in the history of our civilization. If we continue businessasusual with the consumption of fossil fuels, then, according to the 2014 edition of the Intergovernmental Panel on Climate Change (IPCC)’s climate change report, grave consequences will almost surely ensue, including rising sea
Continue reading Low energy nuclear reactions: Papers and patents
On 17 November 2014, research groups at Google and Stanford University jointly announced significant advances in image recognition software.
Image recognition has been pursued for many years. One of the first and still most widely deployed applications is to recognize faces. Indeed, facial recognition systems have been employed in numerous settings:
In numerous U.S. locations,
Continue reading Big brother is watching, with new imagerecognition techniques
June 23, 2014 was a very nice day for five mathematicians: Simon Donaldson, Maxim Kontsevich, Jacob Lurie, Terence Tao and Richard Taylor. They were informed that they would be receiving the inaugural Breakthrough Prizes in Mathematics, each with a cash award of USD$3,000,000. They plan to share their good fortune.
The international, if still Eurocentric,
Continue reading Big Bucks for Big Breakthroughs: Prize recipients give three million dollar maths talks

