Mathematicians discover pattern in prime numbers

The uncertainty of science: Mathematicians have discovered that, among the first billion prime numbers, there is a peculiar uneven distribution that is not random to the last digit of each prime.

[I]f the sequence were truly random, then a prime with 1 as its last digit should be followed by another prime ending in 1 one-quarter of the time. That’s because after the number 5, there are only four possibilities — 1, 3, 7 and 9 — for prime last digits. And these are, on average, equally represented among all primes, according to a theorem proved around the end of the nineteenth century, one of the results that underpin much of our understanding of the distribution of prime numbers. (Another is the prime number theorem, which quantifies how much rarer the primes become as numbers get larger.)

Instead, Lemke Oliver and Soundararajan saw that in the first billion primes, a 1 is followed by a 1 about 18% of the time, by a 3 or a 7 each 30% of the time, and by a 9 22% of the time. They found similar results when they started with primes that ended in 3, 7 or 9: variation, but with repeated last digits the least common. The bias persists but slowly decreases as numbers get larger.

As the article notes, this pattern does not appear to have any practical use, though it definitely fascinates everyone who hears about.

ExoMars blasts off

The European-Russian Mars orbiter/lander ExoMars was successfully launched on a Proton rocket this morning from Baikonur.

It will still take most of today for the rocket’s Briz-M upper stage to complete several additional engine burns to send the spacecraft on its path to Mars, but the most difficult part of the launch has now passed.

The article does a nice job of summing up Russia’s most recent track record in trying to send spacecraft to Mars, thus illustrating the significance of today’s success:

For Russian scientists, the launch marks the resumption of a cooperative effort with Europe to explore the Solar System, after the failure of the Phobos-Grunt mission in 2011.The launch of the ExoMars-2016 spacecraft will be Proton’s first “interplanetary” assignment in almost two decades. During its previous attempt in November 1996, Proton’s upper stage failed, sending the precious Mars-96 spacecraft to a fiery desmise in the Earth’s atmosphere and effectively stalling Russia’s planetary exploration program for a generation.

Further in the past, during the Soviet era, the Russians tried numerous times to either orbit or land on Mars. Every mission failed. If this mission successfully reaches Mars and lands it will mark the first time the Russians played a major role in a mission to Mars that actually reached its goal and worked.

It’s a sweep!

Google’s AlphaGo computer program today completed a three game sweep of Go professional champion Lee Sedol.

This might be the best quote from the article:

The algorithm seems to be holding back its power. Sometimes it plays moves that lose material because it is seeking simply to maximise its probability of reaching winning positions, rather than — as human players tend to do — maximise territorial gains. Jackson thinks that some of these odd-looking moves may have fooled Lee into underestimating the machine’s skills at the beginning of game 1 — which, I suppose, makes AlphaGo a kind of computerized hustler.

Blue Origin engine testing update

The competition heats up: Jeff Bezos has released an update on Blue Origin’s test program of its BE-4 rocket engine, being built as a possible replacement for the Russian engines in the Atlas 5.

Bezos’s final comment kind of explains why Boeing has favored them over Aerojet Rocketdyne for this engine:

One of the many benefits of a privately funded engine development is that we can make and implement decisions quickly. Building these two new test cells is a $10 million commitment, and we as a team made the decision to move forward in 10 minutes. Less than three weeks later we were pouring the needed three-foot thick foundations. Private funding and rapid decision making are two of the reasons why the BE-4 is the fastest path to eliminate U.S. dependence on the Russian-made RD-180.

I imagine however a lot of Congressmen are upset by this. If they do it too cheaply or too quickly there will be far less opportunity to spend pork in their districts!

Second SLS flight delayed until 2023?

Government in action! The second flight of NASA’s SLS rocket, originally scheduled for around 2021 as the first manned mission, faces a possible delay of two years to 2023 so that it can be outfitted to launch the lander/orbiter planetary probe to Europa rather than flown manned.

The upper stage will be a new design that has never flown before. Thus, it has to be flown at least once unmanned to test it. Moreover, Congress in its most recent budget mandated that SLS be used for the Europa mission, probably in a team effort with NASA management to find a purpose for this missionless rocket that Congress has micromanaged from the beginning.

NASA has not officially decided to replace SLS’s original lunar manned mission for this second flight with the Europa mission, but I fully expect them to do so. They can’t fly the rocket with humans on it without first testing that upper stage engine at least once. Furthermore, the entire goal of SLS is not to fly missions but to employ people in Congressional districts. Delaying the first flight two years to outfit it for an unmanned planetary probe serves that absurd mission wonderfully.

The situation thus is that SLS will have a launch rate of once every five years, with a giant standing army of NASA and contractor employees paid during those years to do practically nothing while waiting for the next launch. While the article notes the high cost of building anything for SLS, it doesn’t explain that the reason things cost so much is that the government is slow-walking the construction of everything.

Note also that this means that Lockheed Martin will have an additional five years or so to finish its third Orion capsule. By that point the company will likely have spent about $20 billion, to build three capsules. Only a fool and a Congressman would consider this a good buy for the money.

Democratic fascists force cancellation of Trump rally

Fascists: Upset that a Republican candidate they disagree with planned to hold a rally in Chicago, thousands of protesters threatened violence at tonight’s Trump rally and forced Trump to cancel the event.

In a telephone interview after postponing his event in Chicago, Trump said he didn’t “want to see people hurt or worse” at the rally, telling MSNBC, “I think we did the right thing.”

But Chicago police said they had sufficient manpower on scene to handle the situation and did not recommended Trump cancel the rally. That decision was made “independently” by the campaign, said police spokesman Anthony Guglielmi.

I am not a supporter of Donald Trump, but I will always defend to the death his right to speak. These protesters are merely an extension of the oppressive academic leftwing movement that tolerates no dissent, and does whatever it can to silence and squelch any opposition. That was their goal tonight, and they succeeded. And if you doubt my conclusions, consider this quote from the above article:

Veronica Kowalkowsky, an 18-year-old Trump supporter, said she had no ill will toward the protesters — but didn’t think they felt the same way. “I feel a lot of hate,” she said. “I haven’t said anything bad to anyone.”

Chicago community activist Quo Vadis said hundreds of protesters had positioned themselves in groups around the arena, and they intended to demonstrate right after Trump took the stage. Their goal, he said, was “for Donald to take the stage and to completely interrupt him. The plan is to shut Donald Trump all the way down.” [emphasis mine]

Sadly, it was Trump’s nonchalant encouragement of violence against protesters that helped inflame this situation. In some ways he is as guilty of misbehavior as are these protesters.

Update: Read this eye-witness account of what happened at the rally tonight, and weep for the death of free speech and freedom in America.

The bigotry in the Democratic Party

The bigotry in the Democratic Party is not racial or ethnic. It is political. They hate Republicans so intensely that they are willing to let veterans die rather than work with Republicans to fix the problems at the Veterans Administration.

A federal employee union president is wracked with regret because veterans likely died at a time when she knew about gross misconduct within her Department of Veterans Affairs facility but didn’t tell congressional leaders because they were Republicans.

“If I would’ve gone to him two years ago, who knows what kind of lives could’ve been saved,” Germaine Clarno told a radio interviewer Monday, referring to the Republican leader of a VA subcommittee. Clarno, a lifelong Democrat and social worker at the Hines Veterans Affairs Hospital in Hines, Ill., has been president of the union representing doctors at the hospital since before the deadly wait-time scandal unfolded.

Several things about this story. First, my close reading of it does not indicate that this union official “is wracked with regret.” I think she is bothered, but not much more than that.

Second, as a union official she clearly works hand-in-glove with Democrats, who reciprocate that relationship. And in the case of the corruption at the Veterans Administration, that close working relationship between elected Democrats and unions was so strong that none of the Democrats this union official spoke to were willing to do anything to help sick vets, because to do so might do damage to the government unions and workers who were running the VA as their private little playground.

Third, the hatred of Republicans runs so deep in the Democratic Party and leftwing unions that not only were they unwilling to work with Republicans to help sick vets, they were willing to use the corruption at the VA to attack the very Republicans who had been the only politicians willing to deal with the problem. Consider for example this quote from the article:
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March 10, 2016 Zimmerman/Batchelor podcast

Embedded below the fold. I would dub this podcast an updated summary of what I in 2005 called the new colonial movement.

We are at the dawn of a new colonial age. The growing space competition between nations is in many ways very reminiscent of the 19th century competition between the European powers to colonize Africa and the South Pacific. In the 1800s, Germany, France, Belgium, the Netherlands, and the United Kingdom aggressively competed to carve up the undeveloped world. The result was foreign-run colonies controlling most of the Third World, for both good and ill, for almost a century.

Today, a new list of nations – India, China, Japan, Russia, Europe and the United States — are throwing their resources at space exploration in much the same way. Their goal, unstated but indisputable, is similar to the colonial powers of the 19th century: to obtain future domination over unclaimed territories in space.

This quest will, like the previous colonial efforts, be a long, complex and difficult historical process. Just as the colonial movement dominated much of 19th century politics and history, the growing desire by nations today to settle and control the solar system is also likely to dominate human history for centuries to come. The significant difference, however, is there are no aborigine peoples in space. The colonization of the solar system offers the hope of oppressing no one while bringing benefits to everyone who does it.

» Read more

Good HDL cholesterol might not be so good

The uncertainty of science: New research now suggests an explanation for why in some cases having a high level of the supposedly good HDL cholesterol is not a good thing.

They think it is genetic, and that some people are missing the genes that help the HDL work to clean cholesterol out of the body. It is important however to recognize the uncertainties here. They still do not understand very well how this all works.

Rosetta detects magnetic-free bubble around comet

Scientists using Rosetta have finally detected the expected bubble or region surrounding Comet 67P/C-G where there is no magnetic field and the Sun’s solar wind does not enter.

The bubble is caused by the material being ejected from the comet. Scientists had detected the same thing around Halley’s Comet back in 1986, but it turns out the bubble around Comet 67P/C-G is larger than expected based on those previous measurements, and also fluctuates in size more than predicted.

SpaceX estimates 30% price cut from reusable 1st stage

The competition heats up: At a satellite conference on Wednesday SpaceX President Gwynne Shotwell estimated that they will be able to cut the price of launch to about $40 million, a 30% cut from their already low prices, once they can reliably begin reusing the first stages of the Falcon 9 rocket.

Given that SpaceX has no intention, for now, of recovering the second stage, she said a launch with a previously used first stage could be priced 30 percent less than the current Falcon 9 rockets.

SES of Luxembourg, SpaceX’s biggest backer among the large commercial satellite fleet operators, has said it wants to be the first customer to fly with a reused stage. But SES Chief Executive Karim Michel Sabbagh said here March 8 that SES wanted a 50 percent price cut, to around $30 million, in return for pioneering the reusable version.

Shotwell said it was too early to set precise prices for a reused Falcon 9, but that if the fuel on the first stage costs $1 million or less, and a reused first stage could be prepared for reflight for $3 million or so, a price reduction of 30 percent – to around $40 million – should be possible.

Shotwell also said they hope to launch 18 times this year, with the first Falcon Heavy launch now set for November. This is another two month delay from their previous announcement, which had said they were hoping to launch in September.

With only two launches so far this year, I must say I am skeptical they can achieve 16 more launches in the year’s remaining 9 months, a rate of about one almost every two weeks. They have never come close to this schedule, and though I believe they can eventually do so, I don’t think they can do it so quickly.

ULA’s parent companies express caution about Vulcan

The competition heats up? The executives in charge of ULA’s parent companies, Boeing and Lockheed Martin, today expressed mixed support for the development of the Vulcan rocket, designed to replace the Atlas 5.

For more than a year, Boeing and Lockheed Martin have been investing in the rocket on a quarter-by-quarter basis and the ULA board leaders said this week that the practice would continue. “We have to be prudent, disciplined stewards of any kind of investment,” Ambrose [Lockheed Martin] said. “Vulcan would be like any other investment decision.”

In September 2015, ULA’s leaders said a ban by Congress on the Russian RD-180 rocket engine, which powers ULA’s Atlas 5 rocket, was a leading driver behind the measured investment in Vulcan. But that issue was temporarily resolved in December, when Sen. Richard Shelby (R-Ala.) used a must-pass spending bill to eliminate the engine restrictions that had become law just weeks earlier.

Now, Ambrose pointed to “uncertainties” with launch policy, while Cooning [Boeing] said disagreements between lawmakers and the Air Force on the best approach for ending RD-180 dependence have given them pause, further justifying a “cautious and conservative approach.”

In other words, now that the law requiring a quick replacement of the Russian engine has been repealed, these executives feel less compunction to build Vulcan, something I had sensed in December and had commented on. As a result, they are telling us, in their tangled corporate ways, that they are not going to invest much of their own money on Vulcan, unless the government forks up a lot of cash for them to proceed.

Images of North Korea’s rocket and nuclear bomb?

North Korea's nuclear bomb?

Does this make you feel safer? The North Korean state-run news agency today claimed that they can now build a nuclear bomb small enough to fit on their ballistic missiles.

The story includes pictures. In addition, John Batchelor sent me a few more, including the one posted above. It supposedly shows Kim Jong Un, the supreme dictator of North Korea, inspecting a miniaturized warhead. Whether that is a real bomb or not cannot be confirmed. I would be curious hearing what some of my engineering readers think of this image and the bomb that he is admiring.

Below shows Kim Jong Un inspecting two rockets. Once again, I wonder how real this is, or is it a Potemkin Village.

North Korea's rockets?

“The Republican Establishment is Worse Than Trump.”

Link here. This article is a nice bookend to my previous post, as it outlines quite nicely the reasons why Donald Trump is doing so well. As the author says,

Donald Trump is not the candidate I want to see Republican voters select, but I do love the fact that he’s raised a giant middle finger two inches from the face of the Republicans who prefer to mock, ignore and alienate those of us who put them into power rather than fight for God, country and conservatism.

The author also does a nice job of reviewing the history of the past six years, starting with the 2010 election when the voters gave the Republicans control of the House in one of the biggest landslides in decades, followed four years later by an even bigger landslide to give them the Senate. What did that Republican leadership do with those victories? Nothing. And when a handful of Senators and Congressmen (included Ted Cruz) tried to fight back against the Democratic Party’s agenda, the Republican leadership in Congress acted horrified and appalled.

The article at the link is also interesting in that it opens with a very telling quote from Cruz, noting how that Republican leadership only has outrage against anyone who tries to give the voters what they were promised.

What’s considered unpleasant in the Senate is not lack of civility – you can insult the heck out of each other although I don’t engage in that. What’s considered unpardonable is actually speaking the truth and doing what you said you would do and even worse making clear, shining the light on the fact that there are a whole lot of other people willing to do exactly the opposite of what they said they would do. That’s treated as the unpardonable sin, how dare you be so selfish – and it’s funny they use the term selfish – as to actually honor the commitments to your constituents.

Which is why it doesn’t bother me in slightest that Cruz is rumored to be hated in the Senate. He should be hated in the Senate. He hasn’t been playing their corrupt game.

“How I Went from Trump Curious to Anti-Trump.”

Link here. The essay describes how the author started out somewhat supportive and intrigued positively by Trump, and has ended up opposing him. Key quote:

You can read Trump in two different ways. You can see his bluster and lack of any policy knowledge as refreshing. You can see his hyperpersonal style and enormous ego as somehow “authentic.”

On the other hand, you can see a guy who’s entire life is devoted to persuading people to get into business with him. A salesman, trying to make a sale. And you can start to see that the salesman really has no interest in his actual product, and no real intent to abide by the terms of the contract. A salesman who is just willing to say whatever he needs you to say to sign the dotted line — and who will decide on a case-by-case basis whether or not to abide by those contract terms, should they become inconvenient later.

The thing is, while I can’t make anyone see this way, I can tell you I went from being a Type 1 person to a Type 2 person. I would waver between these views of Trump, but then eventually I was won to the Type 2 way of seeing things, and now that I see it, I can’t not see it. [emphasis in original]

The essay describes exactly what I expect a majority of Americans will go through should Donald Trump get the Republican nomination for president. In the end, a majority will become anti-Trump, and he will lose.

Multicultural Student Government approved at Kansas University

The coming dark age: The student senate at Kansas University has voted to create a “Multicultural Student Government” operating in parallel to the already existing student government.

The KU Student Senate voted on allocating a list of required student fees for the upcoming school year, including a $2 fee increase to fund the newly created Multicultural Student Government. The fee would generate about $90,000 annually and be disseminated through KU’s Office of Multicultural Affairs.

While many senators agreed with the concept of the new governing body, others expressed concern that more detailed logistics had yet to be established and shared because the group was so new.

The last sentence refers to the big question that these genius students did not address: How will the elected officials of this racially-based multicultural government be chosen? Will there be racial quotas? Will whites be denied the right to run?

In the end, this is really just a power play by the bigots in the minority community. They not only have gotten themselves their own legislature (which can force the general legislature to do as it bids), those elected to it will get a stipend of $6,000 per year.

In related news, freshmen enrollment is down 20% at the University of Missouri, home of racial protests last year that got the head of the university fired. Also, existing students are fleeing the school in large numbers. The result: a budget shortfall of $32 million.

Violence against reporter and protesters at Trump events

Link here. The article is focused on a protester getting punched at a rally yesterday but it also includes details of other similar events, as well as the story of Trump’s campaign manager physically manhandling a reporter for asking a question.

I realize that people are angry, both the Trump supporters and the protesters at his rallies. Nonetheless, the worst thing we can do is become violent over these disagreements, as that violence will do nothing to solve our problems. Instead, it will likely make them worse.

One more point however: So far it appears that this violence has only occurred at Trump events. Worse, Trump himself has sometimes encouraged his supporters to treat protesters roughly. From my perspective, it is exactly this behavior by him that will work against Trump in the general election. Americans will not take kindly to it, and he will be damaged by it.

XCOR wins Vulcan engine design contract

The competition heats up: ULA has awarded XCOR a design contract for building an upper stage rocket engine for the Vulcan rocket.

This is good news for XCOR, though there is one important caveat: A close reading of the press release at the link shows that the contract does not guarantee that ULA will use this engine in Vulcan. XCOR must deliver, and ULA must be satisfied with what they produce.

More details about China’s space station, planned for launch in 2020

The competition heats up: The chief designer of China’s human space program revealed more details today about their planned space station in talking with reporters at China’s on-going parliamentary sessions.

Zhou Jianping, speaking to state media on the sidelines of China’s ongoing parliamentary sessions, explained that the project will include three modules, two 30m solar panel ‘wings’, two robotic arms and a telescope dubbed ‘China’s Hubble’. Zhou, who is a member of China’s top consultative body currently in session in Beijing, said the space station will comprise of a core module and two labs forming a T-shape, each weighing about 20 tons.

The core module is scheduled to be launched in 2018, by the new heavy lift Long March 5 rocket, which will make its maiden flight in September and be capable of lifting 25 tonnes to low Earth orbit.

“China’s Hubble” will be a module flying near the station so that if it needs maintenance the station astronauts will be able to do the work.

India launches sixth GPS satellite

The competition heats up: India has successfully launched the sixth satellite in its own GPS constellation. using its PSLV rocket.

They will complete the GPS constellation with a seventh satellite launch in April. The system however is already functioning, as it only needs a minimum of four satellites to work. Unlike the U.S. 24 satellite system, which is designed to be global, India’s system is regional with its focus centered over India itself. This is why they do not need as many satellites for it to function effectively.

Another Falcon Heavy customer switches to different rocket

The competition heats up: Afraid of more delays in SpaceX’s Falcon Heavy rocket, Inmarsat has booked a Russian Proton rocket for a 2017 commercial satellite launch.

London-based Inmarsat is the second Falcon Heavy commercial customer to have sought a Plan B given the continued uncertainties in the launch schedule of Falcon Heavy, whose inaugural flight has been repeatedly delayed. Carlsbad, California-based ViaSat Inc. in February moved its ViaSat-2 consumer broadband satellite from the Falcon Heavy to Europe’s Ariane 5 rocket for an April 2017 launch, securing what may be launch-service provider Arianespace’s last 2017 slot for a heavy satellite.

ExoMars ready for launch

The European ExoMars Mars orbiter and lander mission, set for launch on March 14, is assembled on its Proton rocket and is ready for launch.

This European project was originally going to be in partnership with NASA, but the Obama administration pulled out of the deal. The Russians then offered to come in and provide a rocket for the mission.

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