Space Exploration: From Pioneering Days to the ISS as a Playground | April 06 2026, 19:59

essentially, a person in space is about these days and about the days 50 years ago. The International Space Station is already kindergarten: in terms of the Earth, it is only slightly higher than airplanes fly.

Precision in the Sky: Aerial Refueling of HH-60 Pave Hawks by a KC-130 Hercules | April 05 2026, 12:59

An interesting photo from Iran. An American Lockheed Martin KC-130 Hercules tanker and Sikorsky HH-60 Pave Hawk helicopters connected to it. If you think about it, it’s incredibly complex. Look, the plane has to fly at a super low speed for it – close to the stalling speed – while the helicopters, in contrast, must push to their limits to keep up. To avoid entering into a spin, the plane is forced to rapidly lose altitude, consequently, the helicopters must also purposely drop altitude. The helicopters are positioned lower than the plane, so if the pilot slows down even more (though how much more can he slow down?), and the helicopters don’t slow down, the hose could hit the rotor blades and that’s it. The helicopters also gain several tons during refueling, which adds to the complexity. Why refuel two at once? It’s more complicated. Actually, it’s both more complicated and simpler, because the load on the wings is distributed symmetrically, making it easier for the plane to maintain a stable course. It’s also interesting how the issue of static electricity is handled in the dry air.

A good addition from the comments (Sergey Snegirev):

1. It is noted that the Hercules stalls at 100-110 knots (depending on the air temperature and altitude, which is important in Iran), and the photo shows the flaps deployed, allowing it to stay up to even 90 knots. Meanwhile, the Pave Hawk can accelerate up to 190 knots (but obviously, nobody performs AAR at max speed), with a cruising speed of 150 knots, so there’s quite a sizable overlap. It’s assumed that AAR takes place around 120 knots on the video.

3. It is noted that AAR happens at exactly the same altitude, so there’s no need to lose altitude

4. It is noted that the tanker – like any other aircraft – can dissipate static electricity using an electrostatic discharger. The refueling hose has a contact that equalizes the potentials of the two aircraft before fuel delivery.

5. It is noted that the fuel used to refuel external aircraft is stored in tanks in the aircraft’s cargo section, separate from the tanker’s own fuel system. Even if the pumping were from the tanker’s own fuel tanks, it would come from the central tank, which is set up to transfer fuel from the side tanks.

It is noted that on the underside of the plane’s wings, several metal “antennas” are installed on the flaperons to discharge static electricity into the air. It is noted that when the hose is connected, a wire passes through and the potentials on the bodies are equalized.

Navigating the Lexical Complexity of Nabokov’s “Lolita” | April 02 2026, 15:56

I’ve finished the first version of a dictionary-style book on Nabokov’s “Lolita”. The chart shows how the complexity of vocabulary is distributed across the pages of the book. The lower chart averages 25 sentences, displaying the number of complex words on the vertical axis, with colors indicating their complexity/rarity (purple – the most complex, red – less complex, yellow – even less so). But I have already removed two levels, and overall, for a foreigner, all five levels are challenging. In the book, level 3 is marked with a dashed line, level 4 with a simple frame, and level 5 with a double frame. Currently, there are 5794 words, of which 541 are fifth level, 1070 are fourth, 1883 are third, 1393 are second, and 54 are first (the simplest ones). Considering that the first version ended up being 1148 pages, the dictionary will need to be significantly streamlined by removing what can be dispensed with. This mainly pertains to the first and second levels, and some from the third and fourth. The rarity of words is calculated in three ways: through LLM, and through two lists of word frequencies in the English language corpus (300K words).

Not all words are complex. For instance, in the sentence “With the ebb of lust, an ashen sense of awfulness, abetted by the realistic drabness of a gray neuralgic day, crept over me and hummed within my temples.” someone well-acquainted with English might not know the words ebb, abet, drabness, while everything else is familiar, but lower the requirements for the reader, and the dictionary might not be very useful for such cases.

Or consider the sentence:

Homo pollex of science, with all its many sub-species and forms; the modest soldier, spic and span, quietly waiting, quietly conscious of khaki’s viatric appeal; the schoolboy wishing to go two blocks; the killer wishing to go two thousand miles; the mysterious, nervous, elderly gent, with brand-new suitcase and clipped mustache; a trio of optimistic Mexicans; the college student displaying the grime of vacational outdoor work as proudly as the name of the famous college arching across the front of his sweatshirt; the desperate lady whose battery has just died on her; the clean-cut, glossy-haired, shifty-eyed, white-faced young beasts in loud shirts and coats, vigorously, almost priapically thrusting out tense thumbs to tempt lone women or sadsack salesmen with fancy cravings.

My browser even highlights four words here.

I have definitions of words in English, German, French, and Russian. I’ve encountered the issue that different words from the text are considered complex in different languages, yet they are unified for me. So, I’ll have to mark, for example, French words in the English text separately, so they are not included in the French version, since there, the reader knows, for instance, what quel mot means.

Overall, this weekend I’ll be manually removing about half, and then I can make the cover and list it on Amazon.

Celebrating a Milestone: Rauf Aliyev’s Programming Qualification from 1994 | March 21 2026, 13:54

Mom sent it. This was given to me when I graduated from school. The education was quite good back then, at least. Part of the science classes were conducted at the institute.

When the Night Lit Up: Unraveling the Mystery of a Superbolt Storm | March 21 2026, 12:55

We had a thunderstorm last night. The whole county is buzzing because everyone thinks that something exploded just before midnight. Several posts in a row on social media. In short, it was thunder. But a bit more rare than usual. Caused by a 401 kA lightning, dubbed the Wild House Shaker. A typical lightning strike is 30 kA. If the numbers are to be believed, 401 kA is really damn a lot. They will likely say we haven’t had such lightning here for decades.

Attaching an interesting map.

The points on the map show superbolts — lightning strikes with an energy of no less than 1M J. Red points — particularly powerful superbolts with an energy of more than 2M J. That is, superbolts mostly occur in the northeastern part of the Atlantic and in the Mediterranean Sea, and less frequently — in the Andes, off the coast of Japan, and near South Africa.

this is what the page from which I took the map says (translation):

“New work shows that superbolts most often occur over the Mediterranean Sea, the northeastern Atlantic, and over the Andes, as well as in smaller amounts to the east of Japan, in tropical oceans, and near the southern tip of Africa. Unlike regular lightning, superbolts often strike over water.

“Ninety percent of lightning occurs over land,” said Holzworth (that’s the main guy on lightning at the University of Washington).

“But superbolts mostly arise over water, right up to the coastline. For example, in the northeastern Atlantic, the distribution maps of superbolts clearly show the outlines of the coasts of Spain and England.”

“The average energy of a discharge over water is higher than over land—that we knew,” he said. “But we did not expect such a stark difference.”

The season for superbolts also does not match the usual patterns of lightning. Regular lightning most often occurs in the summer—the three main so-called “lightning chimneys” coincide with summer thunderstorms over America, Africa south of the Sahara, and Southeast Asia. However, superbolts, which are more common in the Northern Hemisphere, occur in both hemispheres from November to February.

The reason for such a distribution remains a mystery. In some years, there are significantly more superbolts than in others: the end of 2013 was record-breaking, and the end of 2014 was the second largest, while in other years such events were much less frequent.

“We speculate that this may be related to sunspots or cosmic rays, but we will leave that for future research,” said Holzworth.

“For now, we are just demonstrating that there is a previously unknown pattern.”

Evolution of Understanding: Brain as a Predictive Model | March 18 2026, 13:29

An interesting philosophical thought came to my mind. What if evolution doesn’t exist in us (not in biological life), but in our system of understanding the laws of the world 🙂 That is, the system of understanding the laws of the world adapts itself so that everything more or less matches up. That is, the brain constructs an internal hallucination and constantly suppresses it in order to minimize the error of prediction. And there’s a big question — does our understanding system strive for truth (absolute correspondence to the world) or just for comfort (so that the picture in the head does not fall apart)?

With this approach, there’s a problem that if you don’t look into the future, then at each iteration, the understanding system adjusts its model so that the prediction works, but simultaneously creates problems for the next iteration, because it has to account for them already. As a result, this layered pie accumulates contradictions and constraints to such an extent that each subsequent theory becomes more and more complex and accreted with a multitude of unexplainable gaps. Dark matter, black hole radiation, gravitational waves, and so forth appear to somehow stretch the owl to fit the globe.

But yes, this is related to the question of whether mathematics was discovered or invented.

Exploring the Multifaceted Uses of “Oblong” in English and Russian | March 17 2026, 13:50

Sometimes in English, there are very unusual words that are very difficult to translate into Russian. Here, for example, is the word oblong. As an adjective, it translates as “elongated, oblong,” but in the book, both uses are nouns. Often oblong refers to a face – that is, close to an oval, but oblong is a broader concept that describes any figure having an elongated appearance. My mom bought an oblong tablecloth for her new table.

As a noun, it is also used, and quite frequently (though less so than as an adjective). As a noun, oblong means “a rectangular object or flat figure with unequal adjacent sides.” Rulers are considered elongated items (oblongs). Laptops, tablets, and flat-screen TVs are oblongs of different sizes. A rectangle can be defined as oblong; however, not all elongated figures are rectangles. The same face, for example. Additionally, in mathematics, an oblong number is what in Russian is called a rectangular number (the product of two consecutive numbers. For example, 12). In general, it’s utterly baffling.

The word has been alive since the 15th century, by the way. So, in my book, it appears twice, and both times as nouns. In the first case, Nabokov translated it as “corner,” and in the second – “a small oblong of smooth silver” as “a little piece.”

Navigating Without GPS: Understanding Cardinal Directions in Moscow | March 13 2026, 18:41

The spokesperson for the Phystech press service explains how to determine cardinal directions in Moscow when navigation systems are down. Find the North Star or use the sun: it rises in the east and sets in the west. Also reminds us how to determine directions using trees. Ziya, do you know how to find cardinal directions using trees? — What’s there to know? Fir tree points north, palm tree points south!

Overall, it seems the Phystech press service is not aware that in Moscow, the annual amplitude of sunrise point movement is almost 90 degrees. That means, it only sometimes (like now, in March) actually coincides with the east. But they do know the word “asterism”. I think most readers will place it somewhere near the word “flatulence”

Mapping Global Friendships and Rivalries: A Color-Coded Matrix Analysis | March 12 2026, 03:29

For fun, I decided to make a matrix of who is friends with whom and who is enemies with whom. For each country-country pair, I asked Gemini which of the five categories the relations fall into: “at daggers drawn” (purple), “predominantly unfriendly” (red), “neutral” (yellow), “predominantly friendly” (blue), “friends” (green). Lisa said that “neutral” should be purple. Overall, the quality of Gemini’s assessments is quite good.

Among all countries, three red lines stand out. These are countries that are on very bad terms with many others. Well, you guessed Russia right. And what is the second country? Israel? No, it’s Belarus and Venezuela.

In the top five countries that everyone is friends with and who have many friends themselves, LLM included the USA, United Kingdom, Canada, France, and Germany. There is an anti-rating – these are countries that have very bad relations (“at daggers drawn”) with many others. In this rating, Russia is in first place with 21 countries, and Israel is in second place with 18 enemies. Following them, with a significant gap, are Syria and the USA with 9 enemies each. There is also a separate Conflict Zone rating – this is the sum of red and purple. Russia, Venezuela, Belarus, Israel, USA, Iran, Ukraine.

There is a “pacifists’ club”. These are the ones who have no enemies at all, sorted by the number of friends. Rating: Bahamas, Vatican, Luxembourg, Angola, Singapore, Iceland, Jamaica, Tanzania, Zambia.

I was curious, what if I apply the formula: the enemy of my enemy is my friend? What would change? This led to new colors on the matrix – logic friends.

The most unexpected leader of the Master Pragmatists ranking was Taiwan (25 logical connections). Why so? In the logic of LLM, Taiwan is a country that is officially recognized by few, but because of its global opposition to China, it automatically becomes a “logical friend” for everyone who has strained relations with Beijing. This is confirmed in the Shadow Bridges section: Taiwan has 23 connections beyond its region. It literally “stitches” different parts of the world together through a common problem.

The report “Secret Partners” – a list of geopolitical oxymorons. These are pairs that are “at daggers drawn” in official news but are forced to be friends by Gemini’s calculation. For example, Afghanistan – USA/United Kingdom. Despite the status “rather bad relations”, Gemini’s logic sees them as “logical friends”. Possibly due to common regional threats (like ISIS) or dependence on humanitarian and back channels. Or here’s a strange alliance “Belarus — Hungary”. Nominal — different camps, factually — similar style of rhetoric and common “enemies” in Brussels. Eritrea — Ethiopia: Status “at daggers drawn”, but at the same time, they became logical friends.

In the report “Most Controversial,” the first places are taken by the USA, and then with a significant gap, Russia, and even larger – United Kingdom, Canada, Ukraine. These are countries with the highest Love x Hate product value. That is, countries that have many friends and enemies at the same time.

Another report – the indifferent ones. About them, LLM couldn’t say much, apparently because they bother no one (both literally and figuratively). There are, for example, Madagascar and Haiti.

I also tried to cluster by the strength of friends and got four groups of countries.

The largest cluster. Core: China, Russia, Iran, India, and BRICS+ countries, as well as almost the entire African continent (from Egypt to South Africa) and a significant part of the Middle East (UAE, Saudi Arabia, Qatar).

The second cluster mainly included European countries. Core: France, Germany, United Kingdom. The algorithm determined Ukraine and Israel to be here. Logically: their survival depends on “predominantly friendly relations” with the European core. In this same club are Armenia, Georgia, and Serbia. Apparently, despite all the political swings, Gemini considers their ties to Europe more fundamental than any others.

The third cluster included the USA, Canada, Brazil, Mexico, and, for example, Taiwan. Officially, it can be a “logical friend” to all of China’s enemies, but by “strength of friends,” it is permanently sewn to the American block. The Vatican also ended up here, which makes this club not only economic but also somewhat “values-based.”

The fourth cluster, the most compact and specialized, included countries of Oceania and Southeast Asia. Leaders: Australia, Japan, New Zealand, Singapore. This turned out to be a club of countries trying to balance in the most complex region of the planet. Here are almost all island states (Fiji, Samoa, Tonga).

What else could we extract from this information?

When Cosines Defy Reality: Humor in the Trenches of Science and War | March 11 2026, 22:00

“Comrades cadets, in wartime the value of cosine can reach 2, and in exceptional cases, when the situation on the fronts demands it, even 3!”