Sage: Goldbach's Comet

I ran across Goldbach's Comet while surfing the net. This seemed like a straightforward Sage problem, so I spent some time creating a Sage Interact. You can find the code on the Python/Sage page. Copy and paste the code into a Sage cell server such as the ones on the Sage Sandbox page and you're ready to experiment. The image above was created by going up to 100,000. Though I didn't time it, I'd estimate it as taking about 30-40 minutes. The code posted has changed the max value to 1,000--you'll have to experiment what setting runs best on your computer. The link Goldbach.pdf in the bottom left creates a PDF file of your graph to download.

Here are some stories that caught my eye:

  • The fallout from the election has snowflakes melting: ZeroHedge with a piece on Ohio State offering "safe spaces" for students to survive the Trump inauguration. And do you remember how I pointed out how Trump was getting large crowds while Clinton was being chased around in Florida? Leave it to the media to explain that they didn't really miss the signs, they just chose not to mention them. But--if you believe them-- this means that the statisticians were even more clueless and inept. PJmedia with a piece "Chuck Todd Admits Media Treated Hillary with Kid Gloves" where"...NBC’s Chuck Todd confessed that he and others in the mainstream news media played down just how despised Hillary Clinton was in the heartland due to the fear of appearing “sexist.” ...“Where I think political correctness got in the way of what we all knew as reporters and didn’t fully deliver was how hated the Clintons were in the heartland,” the “Meet the Press” host admitted Thursday to former Bush White House press secretary Ari Fleischer in a interview for the “1947” podcast. “And I think it was a fear of, ‘Oh, is it going to look like it’s sexist, anti-woman if we say that?’” he added, pointing out that on the hustings he saw numerous “Hillary for Prison” signs adorning the front yards of rural America. “I think we underplayed it a little bit out of political correctness fears,” Mr. Todd said. “No member of the press corps wants to look like they’re singling out a group and making a group feel bad, right, whatever that [group] is. “If we sort of were straight-up honest and blunt about hey do we understand the level of hatred that’s out there and you know, all the Hillary for Prison signs that are out there, we certainly would have at least made the viewer know, hey, you know, she’s not well-liked in some places in this country in ways that’s times 10 when it comes to Trump,” he said." Refreshing honesty in reporting---once it's too late to do you any good. They aren't called presstitutes for nothing.
  • Anonymous with 10 lies you were taught in high school.
  • RT reports "Scientists add letters to DNA alphabet to create ‘semisynthetic’ life"
  • Tolerant snowflakes, ZeroHedge reports, "The NYU College Republicans likely had no idea what they were setting themselves up for when they invited Vice Media co-founder Gavin McInnes to speak on their campus.  Two years ago such an event almost certainly would have gone completely unnoticed but for the the couple of hundred students in attendance.  But in today's post-Trumpian world, every appearance of a conservative personality is taken by intolerant Leftists as just another opportunity to destroy public/private property, incite violence and shout catchy slogans incorporating the word "Nazi." According to Reuters, McInnes' speech was cut short when protesters rushed into the room where he was speaking and began interrupting him.  The protesters subsequently scuffled with police officers and McInnes supporters outside the university's student center in New York City, where he was invited to speak by NYU College Republicans."" And check out the screaming woman, claiming to be a profession, with a tirade of profanity. Because free speech only matters to these goons when it is speech they agree with.
  • Where else than California for a 1.5 billion dollar budget error. "...we, as taxpayers, generally rely on our expensive budget office employees to at least present annual budgets that reflect sound mathematics and accounting principles.  Unfortunately, that seems to be too much to ask of the math-challenged administration of California Governor Jerry Brown which decided to double count certain cost savings and simply "forgot" to incorporate other expenses altogether....Embarrassingly, when asked about the "mistakes" that resulted in a $1.6 billion budget deficit, the Chief Deputy Director of Brown's Department of Finance could offer no other explanation than that the "math was wrong" while another spokesman admitted, “There’s no other way to describe this other than a straight up error in accounting, which we deeply regret."" Don't hold your breath waiting for accountability even though that would get you fired at your job. Is a tax increase coming?
  • Intellihub with the statistic of the day, "Here is a staggering statistic from the National Alliance on Mental Illness (NAMI): “More than 25 percent of college students have been diagnosed or treated by a professional for a mental health condition within the past year.Let that sink in. 25 percent. Colleges are basically clinics. Psychiatric centers. Colleges have been taken over. A soft coup has occurred, out of view.You want to know where all this victim-oriented “I’m triggered” and “I need a safe space” comes from? You just found it. It’s a short step from being diagnosed with a mental disorder to adopting the role of being super-sensitive to “triggers.” You could call it a self-fulfilling prophecy. “If I have a mental disorder, then I’m a victim, and then what people say and do around me is going disturb me…and I’ll prove it.”
  • HeatStreet with a piece on "bias response teams" which notes, "....“Bias Response Teams” are creeping onto university campuses across the country. This was the conclusion of the first national survey of Bias Response Teams done by the Foundation for Individual Rights in Education (FIRE). The report identified 232 public and private American colleges and universities that had bias response teams on their campuses in 2016, affecting around 2.8 million students. BRTs encourage students to formally report on other students and faculty members whenever they perceive that someone’s speech is “biased,” which threatens free speech. Most universities receive a variety of complaints from students, including students who encounter “offensive” yet legally protected speech, but rather than responding to these incidents fairly if there’s an actual threat, campuses with Bias Response Teams conduct an investigation and if the “respondent” is found “guilty”, invite them for a “hearing”. Examples of Bias Response Teams exercising their power include a student humor publication at the University of California, San Diego (UCSD) that lost its funding after making fun of “safe spaces” on campus. They got their funding pulled after people filed bias incident reports, one openly calling the university to “stop funding”. At Ohio State University, students had to attend a “mandatory floor meeting about triggering events” after a group of students was reported for sharing memes comparing Hillary Clinton to Adolf Hitler. Students who dressed up as the “Three Blind Mice” for Halloween at the University of Wisconsin at Platteville were also reported, as the complainant felt the costumes could be interpreted as making of fun of disabilities."
  • Can a cone roll uphill? Yes!
  • Unz Review with an interesting educational story: "No Thug Left Behind"
  • Alphago was playing incognito over the internet and destroying the competition, "...AlphaGo took a clandestine route to toppling the worl'd top ranking players. Starting on December 29th, 2016, a newcomer used the account names Magister and Master on the Tygem and FoxGo servers and caused quite a stir among players and observers alike. Master defeated a long list of top Go players including Korea’s Park Jung-hwan, rated No. 3 in the world, Japan’s Iyama Yuta (No. 5) and China's Ke Jie who has held the No. 1 spot since mid 2014....Master won successive 51 games before his 52nd rival, Chen Yaoye (No.13), went offline, forcing the game to be recorded as a tie and by January 4th had clocked up 60 wins, that single draw and no losses....the user registered as "Master" provided his real identity - AlphaGo's Doctor Huang, a member of the Google DeepMind team - on foxwq.com.While Ke Jie still has his No. 1 ranking AlphaGo is already No. 2 and it seems doubtful that any human will ever beat it again. This is something that Ke Jie is finding hard to accept. Ali Jabarin, a professional Go player, who came across Ke soon after one of his defeats by the AI reported: "He [was] a bit shocked... just repeating 'it's too strong.'"". Now GBTimes reports AlphaGo will play the worlds top human in April. "The match between Ke Jie and AlphaGo will take place in Wuzhen, China’s eastern province of Zhejiang. If Ke loses the best-of-three match, China, Japan and South Korea may each form a team and challenge AlphaGo."

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