The biggest barrier to improving your running times is not your body: it is your worn-out shoes.

I don’t want to put pressure on anyone, but there are 24 days left until the Valencia Trinidad Alfonso Zurich 2025 Marathon. It is, probably, the most important event of the year for marathoners on the national scene. Valencia has become a reference inside and outside our borders for the most advanced runners. But it has also become the perfect showcase to continue gaining followers in a world where groups of runners for all levels multiply, specialty coffee shops with running clubs and, phone in handthe new followers of a religion that seems not to reach its ceiling. New faithful who are bombarded with new training plans, with the benefits of the Norwegian methodclothing brands that have understood the concept with a clear turn towards design and fashion or with YouTube channels in which the latest shoe, the latest revolutionary foam and the most complex carbon plate are analyzed. And among numbers that already exceed three figures, the next generation GPS watch and the t-shirt that weighs 35 grams, sometimes we forget that running, which is running, is run with our feet. And what we wear is key to avoiding injuries. This is what Marta Molina, a doctor in traumatology, maintains, who in statements to ABC warns: we must change shoes every 700 kilometers. A big “it depends” “Each runner has different biomechanics. Detecting imbalances or poor support technique can prevent future injuries (…) The most frequent injuries that we see in consultation during these weeks (prior to the Valencian appointment) are Achilles tendinopathies, overloads in calves, plantar fasciitis or discomfort in the knee and hip derived from excessive training or inappropriate footwear” As a runner with a decade under my belt, I will say that I have gone through each and every one of those concepts at some point. In the form of injuries or discomfort, but I have not missed any of those diagnoses along the way. And what’s worse, I have the feeling that most of those who start in this sport go through some type of discomfort of this type. It shouldn’t be like this but usually we don’t realize the mistake until we have hit the wall. Molina talks about inappropriate footwear and change it after 700 kilometers. And yes, it is a common problem. Either for investing little initial money or for wanting to stretch the gum of a product (that of running shoes) whose RRP has settled above 150 euros in a good part of the market. Dani Navarro, a worker at Bikilaone of the most renowned stores in the country. “Our feedback from customers is that training shoes usually last between 700 and 900 kilometers. There can always be exceptions due to pure biomechanics, runners who do not reach that mileage or who, due to having a very refined technique, far exceed them.” In Runneaa media specialized in this sport, echoed a study in which they pointed out that training shoes began to lose part of their properties and effectiveness after 400 kilometers but that runners did not perceive the decrease in performance until 640 kilometers. The problem is that the first warning is usually discomfort. Navarro also points out two important details. The first thing is that it talks about “training shoes”. The second thing is that it puts the focus on the foams. “The mileage could be extended a little if the shoes are rotated, especially for those who run daily. This way the materials don’t wear out as much and they don’t crush the materials as much.” These two points are key, especially with the arrival of the new foams that offer a much softer and more reactive touch but whose useful life is also in question. The so-called “training shoes” are recommended for people who are starting out in sports because they are the ones that protect the muscles the most and are the most comfortable for going at slow paces. They are also used by experienced runners when they want to accumulate kilometers in preparation. The lower the weight and the better the technique, the more kilometers you can get out of the shoes. The catalog is very wide and varied, from the classic Saucony Triumph or Brooks Glycerin with a slightly firmer feel to the ubiquitous and very soft Nike Invincible, which have earned a place in hearts for their endless padding. But both Molina and Navarro agree on the same point: exceed mileage of shoes increases the risk of injury. The shoe is more likely to become more unstable and the joints and muscles will face a greater challenge. In addition, you have to take into account what you buy and why. Navarro remembers that there are “mixed sneakers” designed to run a little faster, face training plans with series or changes of pace (the famous fartleck). These shoes are predicted to have an average useful life of about 600 kilometers. Sneakers among which we find classics such as the Adidas Adizero Boston, the legendary Nike Pegasus or the more modern New Balance Fuelcell Rebel. At the higher end in price and muscular demand are “competition shoes”, items designed to perform to the maximum of our possibilities but with a very short useful life “of 300 or 400 kilometers” estimates the Bikila expert. The maximum representative of this last option were the Adidas Adizero Pro EVOsneakers weighing 138 grams with which Tigst Assefa breaks the women’s marathon world record and that the German company itself warned of a useful life of a single competition and the prior filming for the adaptation of the runner. Starting price: 500 euros and limited units. A category that was previously dominated by aggressive flyers with half-toe midsole and where now foams of wild sizes reign and carbon plates, a new trend that was inaugurated by the Nike Vaporfly and that competitors have replicated with the Adidas Adizero Adios Pro, the Saucony Endorphin Elite or the most striking Hoka Cielo X or the galactic Puma Fast R Nitro Elite. … Read more

They have tried to adapt it three times, but it is so strange that they never managed to achieve it

As often happens periodically, Stephen King is back in fashion. HBO has released, with notable success, a new prequel, It is in series formatfrom ‘It’. And a couple more adaptations coincide on the big screen, ‘Chuck’s life‘ and ‘The long march‘, with a new version of ‘Pursued‘ around the corner. However, there are some of his works that resist adaptation. ‘The eyes of the dragon’ is one of the most unique cases. What is it about? The fantasy ‘The Eyes of the Dragon’ was published in 1984 and is one of his first exceptions to the pure horror universes that King had been generating since ‘Carrie’: a novel that mixes political intrigue, magic and a fictional universe in line with what he would later do, in a much more sophisticated way, in ‘The dark tower‘. The novel tells the story of the fictional kingdom of Delain, where the throne is marked by the struggle between two brothers, Peter and Thomas, and the dark power of the evil wizard Flagg (there is a connection, in fact, with ‘The Dark Tower’). Why is it special? It is a more accessible and less violent fantasy than his other books, designed for a broader audience and with an adventurous approach that distances itself from the crudeness of other books. It is this same uniqueness that has made it difficult to adapt, since it demands a certain visual finish that is not cheap to achieve. The mixture of classic fantasy elements with psychological suspense and King’s own tension also makes it a work that is difficult to pigeonhole. And we already know how little that is liked in Hollywood. First attempt. The first serious attempt to adapt “The Eyes of the Dragon” was through an animated film. It was going to be produced by the French studio WAMC Entertainment, it was announced in the late 90s to be released around the year 2000. It was a very ambitious project in terms of budget, estimated at around 45 million dollars, something unusual for an animated film that was not strictly children’s at the time. However, despite the initial investment and the enthusiasm of the parties involved, the production encountered multiple technical and financial difficulties that ended it: deadlines were extended, costs skyrocketed and the creative vision began to blur. Ultimately, the studio ended up losing the rights. Second attempt. In 2012 it was the turn of Syfy, the cable channel known for adapting with considerable success works that were considered difficult to bring to the general public, such as ‘Dune’. The idea here was to use the miniseries format that had worked for other Stephen King adaptations such as ‘The Tommyknockers’, ‘The Store’, ‘It’ or ‘Apocalypse’. However, the project did not advance much and neither creative teams nor anything that went beyond the pre-production phase were firmly proposed. Third attempt. And Hulu arrived in 2019. There was some commotion, because the showrunner assigned was going to be Seth Grahame-Smith, who as a writer has had a couple of hits like ‘Pride and Prejudice and Zombies’ and ‘Abraham Lincoln: Vampire Hunter’, but who as a screenwriter has had a somewhat erratic career: he was assigned to sequels to ‘Gremlins’ or ‘Bitelchús’ a decade ago, and more recently he was the first showrunner from the ‘Green Lantern’ series, but ended up leaving the series. And yes, he produced the recent and successful films that adapted ‘It’ by, precisely, Stephen King. The project was compared in tone to a kind of ‘Game of Thrones’ for young people. In September 2020, however, Hulu announced the cancellation of production. The reasons were not entirely clear publicly, but there was talk of budgetary difficulties, strategic changes to the platform and the impact of COVID. We continue waiting. King is so prolific and his name is so attractive to the public that it is not necessary to squeeze every corner of his bibliography in search of material to adapt: ​​there is plenty. ‘The Eyes of the Dragon’, however, is a relatively strange piece in his work: we may see it adapted if at some point that long-awaited definitive version of ‘The Dark Tower’ is created, since both have multiverses that are easy to connect. Until then, we will continue with the raw and bloody visions of the most commercial King. In Xataka | ‘Blackwater’ is one of the publishing events of the moment: economical, best-selling, addictive and serialized

55 times more than its employees

It is logical that the main director of a large company listed on the Ibex 35 has a high salary. After all, the responsibility of managing the money and resources entrusted to you by your investors falls on your shoulders. However, there is some debate about How much should CEOs earn? of companies with respect to the average salary of their employees. A recent report of the National Securities Market Commission (CNMV) confirms that each year the salary gap that exists between bosses and their employees grows larger. Rising wage gap. He CNMV analysis maintains that in 2024 Ibex 35 executives earned 55 times more than the average salary of employees in their own companies. This value has grown from the 53 times recorded in the previous year’s report. This calculation, according to the same report, was “only” 18 times in those listed outside the Ibex 35 and the global average of all Spanish listed companies was 33 times the average salary of their employees. This figure is above the 31 times that was recorded in 2023, evidencing an upward evolution of the wage gap that shows no signs of stopping. Salaries in figures. The CNMV report indicates that, over the last 20 years, the average salary of Ibex 35 CEOs has multiplied by 2.7, going from 1.37 million euros in 2004 to 3.73 million in 2024, which represents a total increase of 172%. On the other hand, only in 2024, the average salary of executive directors increased by 7.6%, reaching an average of 1.9 million euros, a salary amount that was far exceeded by some of the main executives of the Ibex 35. According to what was published by Digital EconomyHéctor Grisi, CEO of Santander, would have received a salary of 8.3 million euros; Carlos Torres, president of BBVA, received a remuneration of 7.15 million, or Florentino Pérez, president of ACS, who pocketed 7.95 million euros in 2024. In contrast to them, we find cases very far from those figures, such as that of the president of Aena, Maurici Lucena, who earned 190,857 euros gross in the same period. The magnitude of the gap. At the same time managers’ salaries reached three-digit increases, the average salary in Spain only rose 49.48% during the same period. In the case of employees, the average gross salary went from 18,435.6 euros in 2004 to 27,558.7 current euros. This increase was even below the accumulated inflation in that period which, according to INE data, It stands at 56.3%. This means that the average salaries of the workers of these companies not only did not grow at the same rate than that of their bossesbut it meant a direct loss of their purchasing power. Salaries have not only grown for CEOs. The data reveal that the salary increase has not only been recorded among executive directors, but remuneration to the boards of directors has also increased, increasing by up to 5.3% in 2024 alone, with an average total per leadership of 4.3 million euros. The report underlines that even within this business elite there is also a wage gap marked by gender. In 2024, female Ibex 35 executive directors earned, on average, 30.4% more than their male counterparts, although, due to the low number of women at the highest management level, this data varies greatly depending on the company and its representativeness is limited. In Xataka | The highest paid Spanish manager in the world does not work in a large technology company: he sells “sugar water” Image | Flickr (World Travel & Tourism Council), Wikimedia Commons (Barcex), CNMV

Chatgpt’s mobile app generates 30 times more money than Claude, Copilot and Grok together. Still not enough

If there is a chatbot that stands out in popularity over the rest, that is undoubtedly chatgpt. His mobile app was launched in May 2023 And since then he has occupied the download tops of the main stores, becoming The most downloaded app in the world A few months ago. Openai has reached another milestone with its app: since its launch already has generated 2,000 million dollars. To put it in context, this would be approximately 30 times more than what Claude, Grok and Copilot combined have generated. However, not everything is as beautiful as it sounds. Undisputed leader. According to figures AppfiguresOnly for 2025, the Chatgpt app has generated 1,350 million dollars, which represents a growth of 673% compared to the same period of 2024. Chatgpt is generating 193 million dollars per month, while the next on the list is Grok with 3.6 million per month. If we look at the average download per expense, ChatgPT goes to the head with 2.91 dollars, followed by Claude with $ 2.55, Grok with $ 0.75 and finally co -pilot with only $ 0.28. It is clear: Openai is winning the battle of mobile apps. Still not enough. 2,000 million are many millions and that only with its mobile app. Adding all your services, only In July 1,000 million entered And it is estimated that they will enter 12,000 million this year. However, It is still light years of being profitable And the reality is that they enter much less than they spend. The company did An internal study in which they estimated that the losses between 2023 and 2028 would amount to 44,000 million dollars. According to their forecasts, they will not be profitable until 2029, when they expect to enter 100,000 million dollars annually, almost ten times more than they invoice now. The Big Tech are on the right track. The great technology have invested amounts of authentic madness in AI And it has not been until recently that they have begun to see A slight green outbreak in its results. After several years burning huge amounts of money, Google, Amazon and Microsoft have seen how their income is finally to cover the investment so tremendous. However, it is still not thanks to the products AI directly, but to the cloud services. Even so, the reality is that None is making gold with AI. Mission: Monetize the AI. If there is something that brings to the business of AI is How to monetize your chatbots. Subscriptions “pro” have become the appeal to get income, Some like Claude Max cost a real fortune and OpenAi He followed his steps with O3 Pro. The Subscriptions are getting more expensivebut they are not yet enough to reach the level of expenses. There is no azure or a web service that can get the chestnuts out of the fire as it is happening with the Big Tech. The exit seems clear. Advertising. At the end of last year there were rumors that they could start putting advertising in Chatgpt. At the moment it has not materialized, but Rumors have not ceased and seeing the numbers may be a solution to the profitability problem. They have not been the only ones who have flirted with this idea, Perplexity was also testing it And Elon Musk recently confirmed that There will be advertising in Grok. Very careful. Implement advertising in a chatbot is delicate since we could find ourselves in a scenario in which it ends up losing the trust of users. For example, if we go to a chatbot in the process of buying a car, we could doubt whether the recommendations are based on an advertising campaign. Integration should be clear to avoid possible confusing situations. What seems clear is that, given the serious problem of profitability, advertising stands as a more than attractive option for AI companies. In Xataka | Big Tech have buried thousands and billions in AI. They are earning money, but not thanks to the AI

How to share on Instagram what you are listening to Spotify in real time and at all times

Let’s explain How to share on Instagram what you are listening to in Spotify At all times, and always in real time. It is a new option that has implemented the application of musical streaming, and that makes use of the Instagram notes system. The idea is that when you enter the Instagram messaging section and above all in the row of notes you can see what others are listening, and that they can see what you listen. This is a function that begins to arrive now, that is, it is recommended have updated apps to its latest version. What you listen to in Spotify, on your Instagram To be able to share what you are listening, you just have to Create a new note on Instagram. You can do this directly from your user profile, but you can also do it by going to the private messages section, and starting a new note. When you are going to create a note, you have several options. Above all you can simply write a text, and below you can choose interactive notes. Here, click on the icon of the musical note To share a note related to music. This will take you to a screen where you can choose a song that you want to share. In it, you have to click on the option of Share from Spotify That will appear above all. You will need to have Spotify installed and the session initiated. Once you choose this option you don’t have to do more. You will go to the final preview, where you will see what you are listening to right now with the icon of headphones. Here, click on the button Share To send this note. And that’s it. With this, you will create a note in which What you are listening will always appear At all times, until the body expires at 24 hours. Good option to listen to a little more social music. And when someone clicks on your note, you can listen to a fragment and you will have the option to listen to that song in your spotify. In Xataka Basics | 14 apps and services to discover new music in Spotify, Apple Music and other streaming services

The Bonoloto on Wednesday had 25 times more winners of the second prize of the usual. The psychology of numbers betrays us

He Bonoloto draw on Wednesday, July 30 He left a strange image: 127 Under the Second Prize. To put it in perspective, the probability of hitting that category is 1 between 2.3 million. The normal thing is usually that in that category there are between 0 and 4 winners, no more than a hundred. Awarded numbers explain everything: 3, 7, 23, 33, 43, 48, with 13 as complementary. The combination immediately lets smell an irresistible pattern for many players: Four numbers finished in 3. The mythical 7. And the superstitious 13. That is: all finishes in ‘3’, and ‘7’. Image: Lotteries and bets of the State. It is the perfect cocktail of what is often called “special numbers”: figures that the human mind perceives as more likely or lucky, although mathematically they are not. In Forocoches They sighted both the anomalous number of successful ones and the obvious explanation. Many people systematically play numbers that follow visual or symbolic patterns. All finished in the same figure, “beautiful” numbers such as 7, important dates. What they do not calculate is that, If one day they are lucky, they will share it with thousands of people who thought exactly the same. And that has happened. A classic experiment shows that if you ask people to choose “random” numbers, systematically avoid consecutive and tend to distribute them by tens. The result: predictable patterns. The previous day there were only 3 lucky in this category. Almost 70,000 euros each took. That day they went to 1,783 euros, just the average net salary in Spain. The next day there was no reminding. It is not the first recent anomaly: In 2023 it came out practically the same winning combination in two draws With just 48 hours apart, changing only one number. It is a bitter lesson of applied statistics: In gambling, as important as luck is originality. The paradox is that the numbers that seem “less random”-as 1-2-3-4-5-6-are statistically the smartest: you have the same chances of getting hit, but almost nobody else plays them. The next time you see a consecutive combination in a raffle, do not surprise yourself if there are few winners. It will be the day that mathematicians are formed. In Xataka | The man who won the lottery 16 times without cheating. His trick were so simple that they ended up prohibiting him Outstanding image |

For some reason, evolution does not stop creating antiques. 12 times different around the world has emerged

Like the Chavo del Ocho when he did for the umpteenth time the joke to continue criticizing Professor Jirafales once the others had silenced, nature can have somewhat repetitive scripts. The point is that they work. Trend to eat ants and termites. It doesn’t matter if we are in America, Africa or Asia. Again and again, throughout the history of the earth, different mammalian lineages have reached the same evolutionary conclusion, developing a similar body plan to exploit one of the most abundant banquets on the planet. A recent study Posted in Evolution magazine It reveals that the specialization in eating ants and termites (a feature known as Mirmecophage) has emerged independently at least 12 times different since the extinction of dinosaurs 66 million years ago. Convergent evolution. When we think of an anthill, the iconic elongated snout animal of the Americas comes to mind. But the anthill is not alone. Pangolines and Aardvarks, who inhabit Africa and Asia, are distant relatives who have developed a surprisingly similar tools kit. Adaptations include long and sticky tongues, a reduced or non -existent teeth and powerful front legs armed with claws to dig in insect nests. This phenomenon, in which unrelated species They develop similar features To adapt to similar conditions, it is known as convergent evolution. The same strange design. “The specializations associated with Mirmecophage are among the strangest and most fascinating mammals,” says Laura Wilson, an evolutionary biologist, In Science magazine. “This study illuminates our understanding when, and how many times, these fascinating characteristics evolved and under what conditions.” To reach these conclusions, the also biologist Thomas Vida and his team collected and analyzed data on the diet of almost 4,100 species of mammals, mapping their eating habits in the great evolutionary tree. The resulting model left no doubt: the evolution has taken the path of mirmecophagy over and over again, and has done so in the three large branches of mammals, including marsupials and monretrems, which put eggs. The postdinosaurs world. There are several crustaceans that have evolved towards a body shape similar to that of a crab. This phenomenon has occurred at least five times, but over several hundred million years. Mirmecophagous mammals, on the other hand, have done it 12 times in just 66 million years. “For some reason, things continue to evolve until they become hormigueros,” says the author of the study. Why this rise of ants dining rooms just after the disappearance of dinosaurs? The answer, according to researchers, is in the history of social insects. After the great extinction of the Cretaceous-Paleogen, the ants and the termites experienced a demographic explosion. His presence in the fossil registry shot, and his biomass became an abundant ecological resource. A road without return. The study also reveals another fascinating fact: once a mammalian lineage specializes in eating ants and termites, it seems that there is no turning back. The researchers only found a reversal case: the musarañas elephant of short ears. Their ancestors were probably fed on ants and termites more than 13 million years ago, but today, these southern Africa creatures have a mixed diet that includes other insects and plant matter. This evolutionary dead end is probably due to the stability and abundance of the food source, or the difficulty of recovering the features of a generalist once the body has adapted to such a specific diet. The story, therefore, tells us that while there are ants and termites in abundance, the evolution will continue to threaten more mammals into relentless devouring machines of colonies. Image | Claudio Olivares Medina (CC BY-DC -nd 2.0) In Xataka | “This is not a penguin.”

For some reason, evolution does not stop creating antiques. 12 times different around the world has emerged

Like the Chavo del Ocho when he did for the umpteenth time the joke to continue criticizing Professor Jirafales once the others had silenced, nature can have somewhat repetitive scripts. The point is that they work. Trend to eat ants and termites. It doesn’t matter if we are in America, Africa or Asia. Again and again, throughout the history of the earth, different mammalian lineages have reached the same evolutionary conclusion, developing a similar body plan to exploit one of the most abundant banquets on the planet. A recent study Posted in Evolution magazine It reveals that the specialization in eating ants and termites (a feature known as Mirmecophage) has emerged independently at least 12 times different since the extinction of dinosaurs 66 million years ago. Convergent evolution. When we think of an anthill, the iconic elongated snout animal of the Americas comes to mind. But the anthill is not alone. Pangolines and Aardvarks, who inhabit Africa and Asia, are distant relatives who have developed a surprisingly similar tools kit. Adaptations include long and sticky tongues, a reduced or non -existent teeth and powerful front legs armed with claws to dig in insect nests. This phenomenon, in which unrelated species They develop similar features To adapt to similar conditions, it is known as convergent evolution. The same strange design. “The specializations associated with Mirmecophage are among the strangest and most fascinating mammals,” says Laura Wilson, an evolutionary biologist, In Science magazine. “This study illuminates our understanding when, and how many times, these fascinating characteristics evolved and under what conditions.” To reach these conclusions, the also biologist Thomas Vida and his team collected and analyzed data on the diet of almost 4,100 species of mammals, mapping their eating habits in the great evolutionary tree. The resulting model left no doubt: the evolution has taken the path of mirmecophagy over and over again, and has done so in the three large branches of mammals, including marsupials and monretrems, which put eggs. The postdinosaurs world. There are several crustaceans that have evolved towards a body shape similar to that of a crab. This phenomenon has occurred at least five times, but over several hundred million years. Mirmecophagous mammals, on the other hand, have done it 12 times in just 66 million years. “For some reason, things continue to evolve until they become hormigueros,” says the author of the study. Why this rise of ants dining rooms just after the disappearance of dinosaurs? The answer, according to researchers, is in the history of social insects. After the great extinction of the Cretaceous-Paleogen, the ants and the termites experienced a demographic explosion. His presence in the fossil registry shot, and his biomass became an abundant ecological resource. A road without return. The study also reveals another fascinating fact: once a mammalian lineage specializes in eating ants and termites, it seems that there is no turning back. The researchers only found a reversal case: the musarañas elephant of short ears. Their ancestors were probably fed on ants and termites more than 13 million years ago, but today, these southern Africa creatures have a mixed diet that includes other insects and plant matter. This evolutionary dead end is probably due to the stability and abundance of the food source, or the difficulty of recovering the features of a generalist once the body has adapted to such a specific diet. The story, therefore, tells us that while there are ants and termites in abundance, the evolution will continue to threaten more mammals into relentless devouring machines of colonies. Image | Claudio Olivares Medina (CC BY-DC -nd 2.0) In Xataka | “This is not a penguin.”

There is a city that maintains much of Russia’s economy in times of war. And it is on the Chinese border

On the Manzhouli map is a small point north of Mongolia inner, a city with a population similar to Las Palmas and one picturesque square full of replicas of Russian monuments and Matrioskas giants, including a 30 m high that works as a hotel. That is at least what is seen with the naked eye. In Manzhouli practice it is much more: an important Logistics node located right on the border between China and Russia that has gained weight as Moscow’s economy was distanced from the West and narrowed his links with Beijing. So much so that There are those who point since Manzhouli is playing a fundamental role to keep the Russian economy afloat in times of war. In a place in northern China … Manzhouli is far from being the most populous, dynamic or busy city in China, but over the last months has caught the attention of several analysts. He traveled recently Lisa Visentin, correspondent for The Sydney Morning Post. And there has moved now Keith Bradsher, head of the office of The New York Times In Beijing. What is special for this sub -prefecture of Mongola in the interior of just 382,000 inhabitants and a picturesque Russian -inspired theme park full of buildings topped in domes similar to those that can be seen in Moscow and Matrioskas Xl? The answer is simple: Manzhouli is on the border between China and Russia and has managed to carve a key role in the relationship between the two countries at a strategic moment, with the Russian economy marked by the severe sanctions With which the West responded to the War of Ukraine, more than three years ago. At the right time and place. In a wide analysis Posted this week in TnytBradsher points out that today much of the commercial flow between Beijing and Moscow is channeled through Manzhouli, something that is possible thanks in part to its roads and the railway line built at the beginning of the last century by Russia and that passes through the city towards northwest China. Today, trains and trucks traveling from Russia are carried out by the town loaded with wood, planks and other materials that help Beijing avoid imports from North America. From the Chinese town there are also a large number of vehicles destination Russia, where the market suffers the consequences of the sanctions and The withdrawal of European manufacturers. A fact: 65%. As a reference and to understand the economic weight of Manzhouli, in 2022 Global Times (GT)a medium linked to the Committee of the Chinese Communist Party, I calculated that the sight border land port moved up to 65% of all bilateral terrestrial trade between China and Russia. In fact, when many years ago Manzhouli suspended the customs office for weeks to meet the “anti covid-19” measures, a local businessman lamented in GT of losses that amounted to hundreds of thousands of daily yuan. How is it possible? For several factors, although there are two that stand out: their location and infrastructure. Manzhouli is The main one China shopping center with Russia just like Erenhot It is between China and Mongolia. In fact, the city is ceasing to be a “traffic station” of merchandise to become an industrial center. Over there It is processed For example, roller or wood. “Trains from all about China arrive in Manzhouli, one of the six railway ports through which Chinese-Europa trains pass before addressing Russia or other countries in Europe,” collected in 2023 Global Times. “The trains from Europe that go through Russia enter China through Manzhouli before addressing other cities in the country.” During the first quarter the flow of China’s load trains with the continent registered a 7.1% growth In the land port. It matters where … and when. The role of Manzhiuli is today more important because they are also the economic ties between Beijing and Moscow. In 2024 the combined imports and exports of China with Russia added nearby 240,000 million of euros, a historical maximum. The data is also 2% greater than that of 2023, although that increase is far from the 26.3% registered between 2022 and 2023, coinciding with the beginning of the Ukraine War. Bradsher points out that today almost 6% of the Russian economy is based on exports to China and that the flow of merchandise that comes out of China heading to the north It has triggered 71% Since the Kremlin troops advanced on Ukraine. Beijing has become the largest buyer of oil, wood and coal from Russia and in Manzhouli a relationship in which Moscow provides raw materials for the powerful Chinese manufacturing is evident. A perfect relationship? No. Despite this narrow link and that entrepreneurs in the region have managed to make fun of the use of dollars in transactions with Russia (Tnyt speaks With an Entrepreneur from the Manzhouli area that pays Russian wood in Chinese renminbi or rubles through the VTB bank), in the economic relationship between the two countries there are also friction. Moscow forces for example that the carved pines become tables in their own territory and months ago China applied Russian coal tariffs to boost their own production. After the success of Chinese cars in the Russian market, Moscow also chose a considerable rate to imported cars. Images | Wikipedia 1 and 2 Via | Tnyt In Xataka | Ukraine has opened Russia’s last drone and does not leave his astonishment: it is the first time that China does something like that

It is more likely to reach a ray to touch your lottery. Until an economist broke the game winning 14 times

The lottery is more an act of faith than anything else. I don’t say it, Mathematics say. In fact, there is more likely to be a ray to become a millionaire at night. It is possible that all that of the same, and that even knowing that we will not touch us, let’s continue playing to feel part of something. The problem is that there are legends that They talk about tricks and Formulas To win. And then there is the story of Stefan Mandel. A mathematical mind. In the mid-1990s, while millions of people worldwide continue Murify the rules Not written from the lottery applying, not magic or superstition, but an elementary probability system and a colossal logistics. The “trick.” His formula was as basic as radical: identify those draws in which the accumulated prize It exceeded by far the total cost of acquiring all possible tickets. By converting a problem of chance into a mathematical operation with a positive statistical return, Mandel transformed the game into a profitability equation. After successfully trying his system in his native Romania and then in Australia, Mandel perfected his strategy With a small team, developing algorithms that generated and printed millions of valid combinations for specific lotteries. The jump to Washington. The high point of his odyssey came when he looked at the United States, where he detected that Virginia’s newly established lottery used only 44 numbersgenerating “barely” 7,059,052 possible combinations. With the boat reaching 15.5 million dollars, and after having prepared in advance A network of investorsprinters and points of sale, Mandel activated his machinery. For two frantic days, his team managed to buy 6.4 million tickets. They did not reach the desired total, but among the paper mountain was the winning ticket. Although the feat unleashed an investigation by the FBI and the CIA, no legal violation was detected: its maneuver, although clearly outside the spirit of the game, it did not transgress any norm written in the regulations in force. The boundaries of chance. The key to the mandel method was not in sophisticated numerical tricks, but to detect when the conditions of the game offered A structural advantage. In this way, its formula only worked when the prize I tripled the cost To acquire all combinations and when lottery systems allowed printing tickets directly with chosen combinations, a possibility that was later prohibited in many countries precisely by cases such as yours. Winning horse. In essence, its strategy converted the lottery into A safe betprovided that resources, time and discipline were available to execute a plan of such magnitude. However, the profit margin was not immediate: Mandel had to distribute the profits between dozens of investors and assume considerable operational and legal costs. Even so, the system allowed him Win 14 lotteries over several years and knead a considerable fortune without resorting to traps or privileged contacts, only to applied mathematics with implacable determination. Legacy and sunset. After his last significant victory, Mandel He retired to a paradise in the Vanuatu Islands, where he lives away from media foci. Its history, however, not only challenges the myth of fate in games of chance, but has become A mathematical legend which highlights the design gaps of many lottery systems before digitalization. Today, with stricter regulations, limits in the purchase of tickets and automated systems, replicate its model It would be unfeasible. Thus, its feat remains one of the most forceful demonstrations of how human ingenuity, when it faces in intelligence and rigor, can alter the balance of the improbable. Image | Barcex In Xataka | We all know that the lottery will not touch us. It doesn’t matter: we play for feeling part of something In Xataka | The trick to prevent the Treasury from staying with 20% of the Lottery Award has a trick. And is called the income statement

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