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?

Boney M Beyond the Stage: Unveiling the Voices and Ventures | March 07 2026, 15:11

It turned out that my childhood group, Boney M,

1) is still touring. Concerts in 2026. But from the whole group it’s only

2) Maizie Williams who is lighting it up now, she’s 74 years old. But on none of the Boney M records from those times is her voice found. They let her sing in concerts, yes.

3) Frank Farian, the group’s creator, is a white guy from Germany who assembled exotics” in 1974. A couple of years ago he died in his home in Florida.

4) And “that black guy” – that’s Bobby Farrell, who was a DJ from Aruba before Farian hired him to lip-sync the male parts recorded by Farian himself in all Boney M songs. Seriously, listen to Boney M and pay attention to the male parts. Now that you know who actually sang them, you won’t be able to unhear Farian’s strong German accent 🙂

5) Boney M were the first Western group (from FRG!) to penetrate the Iron Curtain.” They had concerts as early as 1978.

6) Remember their song “Rasputin”? Bobby Farrell died on the same date (Dec 30) and in the same city (in St. Petersburg) as Rasputin. At the “Ambassador” Hotel, which is literally a few minutes’ walk from the Yusupov Palace, where Grigory was killed.

By the way, Frank Farian was the king of “lip-sync” projects. Ten years after Boney M’s success he pulled the same stunt with the duo Milli Vanilli. But in the case of Boney M, he got away with it (everyone understood that it was a show), but with Milli Vanilli, there was a huge scandal: the group’s Grammy Award was revoked when it turned out the pretty model-boys on stage hadn’t sung a single note.

Rediscovering Gorodki: A Glimpse into a Traditional Russian Sport | December 20 2025, 05:29

Suddenly today, the word “gorodki” popped into my head. When I was a little boy, in Baku, Azerbaijan, we used to play two games in the courtyard – gorodki and knives.

I Google it. The internet tells me that in Russia there is a Russian Federation of Gorodki Sport. It has a president, a first vice-president, and a vice-president. All in blazers. There is a presidium, and it has a chairman of the commission on international relations. There is a whole apparatus for the president of gorodki sport with three advisers and a responsible secretary. They hold conferences, at least in 2018 and 2020. There is a march of gorodki players, music by A. Roshchin, lyrics by V. Avdeev, I. Vinogradsky.

The website has a section “Anti-Doping”. Can you imagine doping in gorodki sport? It has a subsection “methodological recommendations”.

In 2024, there was a World Championship of Gorodki Sport. And it had a Grand Closing. Besides Belarus, athletes from Germany and Kazakhstan participated in the world championship. From Germany, besides Sergey, Vitaly, and Konstantin, there was Schlein Eugen, or rather, Zhenya.

Masters of sport. To be admitted to international competitions, one must come with a certificate, oh, a certificate of having undergone anti-doping education from an institution, whatever that means.

In general, it’s all very serious.

But I did not find a federation for the game of knives.

Rediscovering the 1986 “Chemical Trainer”: A Pioneer in Interactive Learning | November 23 2025, 15:55

At my home in Kolomna, I have a book called “Chemical Trainer” from 1986. I have never seen anything like it before or since.

The material of each of the 54 programs is divided into many small, very short sections, or categories. At the end of each category, one or more questions are posed. This is done to check whether the content of the category is truly understood. For each answer, there is a place in the book to jump to in order to see if the answer is correct. If the answer is wrong, it describes why and asks a new question. If correct — you move further in this quest.

These Germans in 1986 created an interactive textbook even before it became fashionable.

Unveiling “Recommender Algorithms”: A Comprehensive Guide on Recommendation Systems | October 25 2025, 17:36

I finally released a book on #RecSys! It’s called Recommender Algorithms, where I’ve compiled over 50 recommendation algorithms with detailed mathematical derivations, thorough explanations, and code examples.

https://www.testmysearch.com/books/recommender-algorithms.html

It all started early this spring in Germany, when I attended an ACM conference and sketched out the first structure of the book while analyzing the talks from the RecSys track. And now, just six months later, it has come to life.

Why did I write it? Because neither online nor in print is there a single, accessible resource that deeply explores recommendation algorithms of various types and purposes. There are articles focused on small subsets, but collecting and systematizing approaches—from foundational methods to the very latest—seems to have never been done before. I don’t know if I succeeded, but I’d love to hear your feedback.

Please like & share!

P.S. Click at READ SAMPLE to see the first 40 pages. The table of contents is there as well.

https://www.testmysearch.com/books/recommender-algorithms.html

https://www.testmysearch.com/books/recommender-algorithms.html

From Vision to Bookshelf: Launching “Recommender Algorithms” | October 13 2025, 11:54

Finally, I have released a book! It is called Recommender Algorithms — it contains more than 50 recommendation algorithms with mathematical explanations, detailed descriptions, and code examples.

It all started early in the spring in Germany, when I attended the ACM conference and made the first sketches of the book’s structure, analyzing reports on the RecSys stream. And now, six months later, the book has been published.

Why did it appear? Because there is no single, accessible source either online or in print where the recommendation algorithms of various types and purposes are thoroughly examined. There are articles focused on narrow aspects, but to collect and systematize the developments — from fundamental to the most recent — until now, it seems, no one has managed to do it for some reason. Maybe no one needed to. Suddenly, I found I needed to. I don’t know if I succeeded, but I am eager for your feedback.

Available on Amazon and Barnes and Noble. There is a Russian automatic translation (surprisingly, but very decent), but I do not know how to sell it yet.

https://www.testmysearch.com/books/recommender-algorithms.html?FB

(This is not my only book, but today — just about this one.)

Beijing Parade Marks 80 Years Since China’s WWII Victory | August 31 2025, 14:02

On September 3rd in Beijing, a military parade dedicated to the 80th anniversary of China’s victory in World War II will take place. Apparently, I did not pay enough attention during history lessons at school: it turns out that China’s losses during WWII were almost comparable to those of the USSR, considering the official figures (in both cases, they are significantly lower than the actual ones). However, there is a catch – the war between China and Japan began in 1937, and later merged with World War II when Japan attacked the USA and its allies in 1941, officially making China part of the anti-Hitler coalition. Germany in 1937 was just preparing: a year later, in 1938, the Anschluss of Austria began, and another year later (1939) – the invasion of Poland, and at the same time the USSR attacked Finland.

Meanwhile, in Germany, it is considered that the precision of German accounting was incomparably higher, and the cumulative losses of the aggressors, together with Japan, turned out to be four times less than the cumulative losses of the defenders.

The figure of China’s losses mainly consists of civilian population. Their military losses were 3-4 million, while 12-17 million suffered from bombings, punitive actions, diseases (remembering Japanese Unit 731 and biological warfare) and other war consequences.

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Below I quote my post from January 25th of this year – just relevant and timely:

Who won the Second World War? Interestingly, note that no one paid attention to Trump’s words about the Second World War in his recent tweet-ultimatum.

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He writes “Russia helped us win the Second World War” — everyone noted the incorrect figure of 60 million losses, but somehow not this.

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I found an interesting study from 2017. It was a survey (1,338 people) from 11 countries including 8 allied countries and 3 Axis countries.

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It showed significant differences in how the former Soviet Union and 10 other countries remember the war.

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Events marked by representatives of the Soviet Union were almost completely different from those mentioned in other countries. Besides, Russians stated a greater responsibility for the victory in the war (75% of military efforts), than representatives of any other nation (although the USA and Great Britain also estimated their contribution as more than 50%).

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However, when people from each country assessed the contribution of other countries to the war, they attributed a greater role to the USA than to the former Soviet Union.

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An interesting finding is that, when asked why the USA dropped atomic bombs on Japan, most people from ten countries responded that it was to win the war, except for Russians.

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Moreover, the older the respondents were in 7 of these countries, the more often they agreed with the statement that the USA dropped the bombs to end the war.

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Russia (USSR) in the survey results demonstrates a unique narrative centered on the Eastern Front, unlike Western countries.

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Most countries (including former Axis countries) focus on events related to the USA and Great Britain, such as Pearl Harbor, the Normandy landing, the atomic bombings of Japan, and the Holocaust.

USSR holds a central place in the Russian narrative (75% contribution to victory). The USA and Great Britain also overestimate their evaluations, stating their contribution exceeds 50%, focusing on the Western Front and the Pacific Campaign. The total estimates of the contribution of the eight allied countries amount to 309%, showing the effect of “national narcissism”. Most countries prioritize the USA (27%), while the USSR — 20%.

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Four events gained the status of “key” (mentioned by more than 50% of respondents): the attack on Pearl Harbor, the atomic bombings of Japan, the Normandy landing, and the Holocaust. The Russian narrative concentrates on events termed in Soviet and contemporary Russian historiography as the Great Patriotic War (1941–1945). Russians highlighted unique events: battles near Stalingrad, Kursk, Moscow, Berlin, and the blockade of Leningrad. Thus, although the USA and Russia fought together as allies, research shows that there is almost no overlap in which events are remembered as most important. Members of each group mainly remembered those events related to their own country. However, this is not surprising.

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On the subject of atomic bombings, most respondents believe that the purpose of the bombings was to end the war. Russians see this event as an act of intimidating the USSR. Opinions within countries vary by age: older generations are more likely to support the official version of ending the war.

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In France in 1945, 57% of the population considered the USSR the main victor. By 2004, this figure had dropped to 20%, while the share of the USA increased to 58%.

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The reasons are clear: history textbooks and popular culture reinforce national emphasis. In the USA and Great Britain, films and books praising their role in the war predominate. The USSR and the USA fought on different fronts and represent different ideological systems, which determined the narratives. And of course, all countries overstate their role in historical events.

Gender Stereotypes in Global Symbolism: A Russian TV Perspective | August 15 2025, 14:43

They say this is broadcast on central TV in Russia. I don’t know what they mean by that, but here’s what I thought: people in the clip represent countries, and their gender choice is not random. When they want to depict Russia as a person, they somehow always choose a girl in a kokoshnik, and not a church-going man with a beard like Rasputin or Ivan the Terrible. You might say, well, the word “Russia” is feminine, just as the word America is, but when depicting America, you get some Superman or at least a capitalist like Uncle Sam. Yes, you might say, there’s the Statue of Liberty. True, but in such clips for some reason they don’t put a girl with a seven-point crown as America, and a warrior on a horse as Russia. It’s the other way around.

Though, one would think, girls shown in such a position in commercials are clearly in a submissive role to someone bigger and stronger. It’s interesting if such a clip was made in the USA, it would surely be the opposite — the USA would definitely be represented by a strong woman in a seven-point crown (not a girl), and Russia by some aged man, definitely in a warm tulup and a hat with ear flaps. But surely there would have arisen the question “who then leads whom” and the clip would just not have been released.

One might also recall that Russia is called “Mother Russia” (motherland), whereas for example in Germany it is established as Fatherland (Vaterland). France is definitely associated with the feminine — often depicted as Marianne (La Marianne), the United Kingdom symbolized by the figure of Britannia. Ukraine is definitively feminine, and sadly, the country currently has a serious gender imbalance. As for Mexico, it would surely be depicted as a man with a guitar.

Historical Insights into the Legendary Seven-League Boots | July 17 2025, 16:42

Here you have the real “fast-walking boots” or, as they were called in Europe, “seven-league boots,” France/Germany, 19th century. Remember, Mr. Ogre in “Sleeping Boy” wore them. You wouldn’t be mistaken to say that they were difficult not only to run in, but even to walk in. Why are they called “seven-league” then?

This is interesting. Actually, their original name in French is „bottes de sept lieues (seven-league boots), and in German — Siebenmeilenstiefel (seven-league boots), from which the name came into Russian.

Regular postal communication in France started in the 15th century when postal stations with horses for exchange were built. The distance between the stations initially was 7 leagues/lieues (about 30-35 km).

Transportations were performed by coaches that had from 4 to 6 horses. The coachman managed them, and on the lead horse sat the ‘fourrier,’ who set the pace of the journey. The work of the fourrier was more dangerous, as in the event of an accident he had more chances of being injured, falling under the carriage wheels or being crushed by a falling horse compared to the coachdriver.

Therefore, fourriers were entitled to special tall and sturdy boots, which, according to some data, were attached to the saddle (but this is not certain). When mounting, he would wear these boots. That is, in these seven-league boots they didn’t even walk, but sat.

These boots were sewn from several layers of treated leather, with wooden soles and iron inserts. In such boots, it was difficult to fall from the saddle, even if one fell asleep, and if one fell sideways, they could withstand the weight of a horse, protecting the rider from serious injuries.

Naturally, such large and heavy boots, which were often dried by the fire, raised questions among children, and the fourriers, smoking their pipes and smiling, would tell them about the magical seven-league boots that one could put on and leap seven leagues in a blink. Undoubtedly, one of these children must have been Charles Perrault 😉