Mobile Tech & Gadgets

The debate about whether the biggest pop star can be canceled is settled with a box office of 217 million in one weekend

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97 million dollars in its first weekend in the United States. 217 million worldwide. ‘Michael’, the biopic of Michael Jackson that has taken years to reach theaters between lawsuits, reshoots millionaires and a third act rewritten from scratch, has just broken all records for musical biographical cinema. Critics destroy it with 38% on Rotten Tomatoes, but the public fills the theaters. Which, alone, says more about the state of popular culture than any analysis. Unexpected record. The initial projections The domestic opening grosses for ‘Michael’ were around $50-60 million, which would have already been a record in the profitable genre of biopics of pop artists. The final result (97 million in the United States and 217 globally) has far surpassed it. The previous record belonged to ‘Straight Outta Compton’, the biopic of rappers NWA, which opened with 60.2 million in its first week in the US. ‘Bohemian Rhapsody’ premiered with 51 million, although it reached 900 globally. Criticism no. Something that had greatly dampened these expectations was the low critical ratingbut the CinemaScore score (the actual audience satisfaction index in the theater) was A-, very notable. The difference between critical opinion and commercial results reflects a reality we have already talked about and that has had another very recent example-type, ‘Super Mario Galaxy’. And like that one, this ‘Michael’ has a very clear type of audience in mind: the fans. A long way. ‘Michael’ has had one of the most complicated productions in recent Hollywood. With a budget of $200 million, making it one of the most expensive biopics in history, the film had a third act depicting Jackson’s 2005 sexual abuse trial and subsequent acquittal. Lawyers for Jackson’s estate discovered a clause in the 1993 agreement with Jordan Chandler, one of the children whose father sued the singer, that expressly prohibited his on-screen representation in any form. Production was halted and went through an additional 22 days of filming, which added $15 million to the budget. This is what causes the film to end abruptly on the 1988 ‘Bad’ tour, suggesting that the singer’s story will continue in a subsequent film. The question is how the producers will manage to tell the most problematic part of Jackson’s life. Who watches over the watchers. It is not the first time that Jackson’s heirs (who are not his living relatives, but a trust administered by executors that is currently considered one of the estates most profitable in history, above Elvis or Prince, and which functions for practical purposes as a company that exploits the “Michael Jackson” brand) is fighting a legal battle to control the story. The most revealing case is that of ‘Leaving Neverland’the documentary released on HBO in 2019 that collected the detailed testimony of those who claimed to have suffered sexual abuse by the singer when they were children. He estate sued HBO, alleging that the documentary violated a non-defamation clause included in a contract signed by the platform in 1992 for the broadcast of a Jackson concert in Bucharest. The litigation dragged on for years, until in October 2024 both parties they reached an agreement which included the removal of the documentary from all media platforms. streaming officials in the United States. As of today, ‘Leaving Neverland’ is not legally available on any streaming service. streaming North American (in Spain it can be seen on Movistar Plus+). The image of the star. Anyone might think that the fame that Jackson projects with all these legal conflicts is not the most appropriate for a biopic that also wants to safeguard a non-conflictive image. But fans should not be underestimated when they move en bloc: in 2019, when ‘Leaving Neverland’ aired, there were reactions that then seemed signs of a turning point in Jackson’s fame: stations around the world stopped broadcasting his music, Pepsi canceled licensing agreements, sales and streaming of his catalog fell 4%. However, seven years later, all is forgiven or, at the very least, forgotten: his catalog is worth $1.5 billion (Sony Music paid 750 million dollars for half of it in 2024). And at the time of his death in 2009 his heirs, the aforementioned estatereceived 500 million dollars in debts. Now the exploitation and image rights of the singer are valued at 2,000 million. History repeats itself. It’s a pattern we already know with other biopics: ‘Bohemian Rhapsody’ avoided the most controversial aspects of Freddie Mercury’s life, including his hedonistic way of dealing with his sexuality. Elton John’s ‘Rocketman’ was a bit tougher and didn’t do as well at the box office, but it was still a considerable success, especially among critics. ‘Elvis’ avoided the many chiaroscuros in Presley’s life and triumphed in awards and the box office. The formula of the heir- or family-approved musical biopic, focused on music and celebratory versions of the artists’ lives, has proven to be more profitable than more cumbersome alternatives. Moral: there are cancellations… and cancellations. The figures of streaming of Jackson’s catalog fell for months after ‘Leaving Neverland’, but made a full recovery in 2020 and has been on an upward trajectory for years. ‘MJ the Musical’ has been on Broadway since 2021 earning more than a million dollars weeklywith imminent adaptations around the world. The Las Vegas show signed by Cirque du Soleil about Jackson has just extend your contract until 2030. The truth is that for an artist of this scale, cancellation operates in a different dimension. The cultural debate exists (and will continue to exist, with real accusers whose trial starts in November) but runs in parallel, without interfering with the economy of the phenomenon. It’s not that fans have forgotten about the controversy: it’s that there is a chasm between it and the market. In Xataka | The archive of disturbing paintings that Michael Jackson commissioned of himself

In the 13th century, some monks destroyed a valuable manuscript of the Bible. We just recovered 42 of your pages

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The one of ‘Codex H’ It’s an ironic story. Despite its enormous value, in the 13th century the monks of the Great Laura Monastery (Greece) They decided to dismantle it to reuse their materials in other works. Parchment was scarce and it was time to recycle, even if it was at the cost of destroying a manuscript that was already more than 400 years old at that time. Historians have always considered its content lost. Now, with the help of science, they have rescued more than 40 pages. And they are a real treasure. What is the ‘H Code’? A 6th century manuscript especially valuable for its content. Beyond its age, its heritage value or as a curiosity, the work is interesting because it offers us a copy of the Letters of Saint Paul made only a few centuries after the apostle himself wrote them. That is, the codex was written in Greek a few centuries after (VI) Paul of Tarsus wrote his epistles in the 1st AD. It may seem like a long time, but to scholars who study the New Testament it offers a valuable treasure: a clue to how those epistles were organized in the Early Middle Ages. The ‘Codex H’ also has another peculiarity: it is the oldest sample of the known as “Euthalian Apparatus”a system of divisions and annotations of the New Testament. And what happened to him? That the work ended up dismantled. Literally. In the 13th century, parchment was a scarce commodity, so in the Monastery of the Great Laura, on Mount Athos (Greece), they decided to sacrifice the manuscript to take advantage of your materials. Their idea was to use parchment to bind and create endpapers for other works, so they inked their pages again. This explains why researchers have found fragments of the work scattered throughout libraries in Italy, Greece, Russia, Ukraine and France. Other pages never appeared and were considered lost forever. And it wasn’t like that? Not quite. The monks of the 13th century may have recycled the parchment to make endpapers and bind other manuscripts, but that does not mean that the original pages (and their content) had been lost. Not at least when examined with the help of science of the 21st century. “We knew that, at some point, the manuscript was re-inked. The chemicals in the new ink caused ‘shift’ damage to the facing pages, creating a mirror image of the text on the opposite sheet, sometimes leaving traces of several pages, barely visible, but very clear with the help of the latest imaging techniques,” explains Garrick Allenprofessor at the University of Glasgow and one of the experts who have studied the codex. What exactly have they done? With the collaboration of the Electronic Library of Ancient Manuscripts (EMEL), the researchers used multispectral imaging and processed the preserved pages in search of “ghost” texts. The term may sound strange, but it basically allows experts to get the most out of a folio, looking for traces that allow them to reconstruct other pages that are no longer physically preserved. To guarantee historical accuracy, the team led by Professor Allen collaborated with experts from Paris who, thanks to radiocarbon dating, confirmed that the material they were working with was parchment from the 6th century. What did they find? Neither more nor less than 42 pages lost (so far) from ‘Codex H’. And that is much more important than it may seem at first glance. The recovered texts are fragments of the Letters of Saint Paul, writings that were already known and do not represent any historical novelty in themselves. What is really interesting is not so much his sentences but everything that surrounds them. What does that mean? That those 42 pages provide an enormous amount of information to researchers on issues such as the way the scribes worked, how they related to Paul’s work, how they organized them and (of course) how they reused the materials when the codices aged. Does it give you that much information? The University of Glasgow stands out especially how the 42 pages of the codex help us better understand the changes that the New Testament has undergone. “They offer a unique perspective on how it has evolved and been interpreted over the centuries,” notes the institution before stopping specifically at the “list of chapters.” “These pages contain the oldest known examples of chapter lists from Paul’s Letters, which differ drastically from how we divide these letters today,” they need in Glasgow. The Greek codex also provides information about how 6th-century scribes corrected, annotated, and interacted with the epistles of Saint Paul with whom they worked. Images | University of Glasgow In Xataka | The Bible has always been the most sacred book. Young Christians are filling it with post-its, underlines and cute covers

from manufacturing cars to 1,000 police robots that are, really, a seed of the future

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Today has been a completely different day from the others. Because frankly, the last thing I expected to see at a car show was a nearly three-hour presentation on a humanoid police robotbut here we are. The robot, however, is the least important thing, as we will see later. The clues that the robot would play a leading role were there, to be honest. After all, this same humanoid robot was on display at the Chery stand during the Beijing Motor Showbut of course, from seeing a robot displayed on a stand to understanding its purpose there is one step. Anyway, let’s go in parts. Just a few days ago, on April 17, Chery Group announced an agreement with AiMOGA Robotics to turn robotics into its new avenue for growth. The idea is simple: AiMOGA puts the expertise in robotics and Chery puts the manufacturing capacity, its experience with cars and the savoir faire in the international arena. The AiMOGA robot in the Chery showroom | Image: Xataka In April of last year, AiMOGA managed to ship the first 220 robots to more than 30 countries. These robots have their own name, by the way: Mornine M1. Today we have witnessed the signing of a commitment by different Chinese cities to deploy 1,000, which says a lot about how clear the government (which was present) is that there is a new field to dominate here. These robots are, let’s say, oriented to specific scenarios. Mornine is not a robot designed to make us a French omelet on a Tuesday night, but to control traffic, help with health care, etc. For now, at least. Detail of Mornine’s face | Image: Xataka The robot from behind | Image: Xataka If anyone is interested, they can buy their own Morine M1 robot at JD, the Chinese Amazon. Its price is 285,800 yuan, around 40,000 euros. If that seems like a lot of money to you, another option is his companion, the Argos robotic dog, which costs 15,800 yuan (around 2,000 euros at the exchange rate). Image | Xataka What is the robot like? It is a humanoid that is found at the most extreme point of the uncanny valley. The robot, feminine in appearance, is 1.67 cm tall, weighs 70 kilos, is capable of walking at one meter per second, pivoting 40 degrees and carrying up to 1.5 kilos of weight. It talks, sees (LiDAR, cameras and ultrasonic radar), moves its arms and has a goal: work. Mornine, as I said, has been developed with specific scenarios in mind. The most obvious is that of assistant and we have the clearest proof of it in the train stations and shopping centers of Wuhu, where it is already officially present. Today Chery has gone a step further, signing a commitment with several Chinese cities to deploy 1,000 robots on the roads. Robots dressed as police | Image: Xataka Because yes, Mornine is going to work as a traffic officer. As explained by Chery, Mornine will be able to detect violations, apply and explain the lawmanage vehicle flows, interact with drivers, etc. In fact, in a presentation they have suggested that it could be integrated with government systems to, for example, record violations as soon as they are detected. On paper and in the sample videos it sounds great, but honestly, I would like to see this robot in the middle of one of the main arteries of Beijing talking and interacting with the helmetless motorcyclists, the drivers who cross paths and the general chaos that prevails on Chinese roads. Beyond warning, the robot has no punitive capacity (or does not seem to have it), so it will be necessary to see if its practical application goes beyond the anecdotal. Ah, the irony | Image: Xataka In any case, there is something poetic about seeing human police officers stand next to these robots, which are dressed alike and mounted on a mobile base. Chery maintains that they seek to offer an alternative to professions for which there are no candidates, such as the aforementioned traffic agents, but what I see is different. It’s a robot taking a first step that, in 20 or 30 years, we will remember as the germ of something bigger. Because in this robot, whose movements are orthopedic and depend on a human operator to control them, I see something else. I see a China preparing for the future. I see a country that already anticipated the electric car and is now doing so with robotics. It also plays, yes | Image: Xataka A country with 5,000 years of history has all the patience in the world. Domestic robots will not reach society today, tomorrow or the next day. They probably won’t do it in this decade, but they will. Sooner or later, and being aware that this is a very techno-optimistic thought, domestic robotics will be a reality, and when it is, While the rest of the world takes its first steps, China will already know how to run. Literally. Xpeng is another local brand that has made its first steps in robotics, like Unitree or AgiBot. Tesla, with his Optimus, too. In fact, Chery has put Elon Musk and his goals with Optimus as an example to follow and beat. Hyundai, Honda have robotics projects. But China has something that the others don’t: total and absolute control of the supply chain. China is winning the electric car racethat is no secret, and it is sowing the seeds of victory for robotics. Today they are crude, somewhat clumsy designs, but a country that was able to invest 2,000 years and several dynasties in building a wall is in no hurry. They have all the time in the world to improve their robots, and not only that, but they are fast at iterating. Image | Xataka They are very patient, but they also react in the moment. They are slow and fast at the same time. That is something that … Read more

the study that reveals its birth in an isolated corner of the galaxy

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2025 was the year of 3I/ATLAS, the third interstellar visitor that telescopes have been able to capture prowling the Earth. From the beginning it was considered that it could possibly be much older than the other two, Oumuamua and 2I/Borisov. However, there were many unknowns about its origin. Now, thanks to a recently published study by scientists at the University of Michigan, we have much more data on the matter. A visitor from a cold and distant place. According to observations made from the ALMA Observatoryin the Atacama Desert (Chile), 3I/ATLAS formed in a cold and isolated corner of our galaxy, before definitively integrating into its own solar system. The key is in deuterium. The observations that led to this recent study were made between October and December 2025. Several telescopes focused their attention on our interstellar visitor to observe the water on its surface and observed something striking: it had very high levels of deuterium. This is an isotope of hydrogen, somewhat heavier than the most abundant on Earth. In astronomy the deuterium/hydrogen ratio is used to estimate the age of objectssince it has been observed that the more primitive they are, the more deuterium they have. But this proportion also helps to know the temperature at which they were formed. A reaction without turning back. In the cold gas clouds in which stars form, the most abundant molecules They are hydrogen, followed by carbon monoxide (CO). Hydrogen participates in something known as deuteron-proton exchange reactions, where hydrogen protons and deuterium isotopes react with each other, forming something known as deuterated hydrogen. This is the reaction: H3+​+HD⇌H2​D++H2​ CO can compete with this reaction, making it less efficient. However, when it is very cold, the CO freezes into dust grains and cannot react. On the other hand, the deuteration reaction can occur in both directions (hence the two arrows), but if it is cold there is not enough energy to produce it backwards. All the hydrogen with deuterium that is formed accumulates. a lonely star. The fact that 3I/ATLAS occurred in such a cold environment may indicate that it possibly originated around a solitary star. If there had been other stars forming around it, it would be much hotter. Very far away now. Today, that interstellar visitor is near Jupiter, preparing to leave our solar system. It can only be observed with a few instruments. Luckily, he came to our neighborhood long enough to give us a lot of valuable information. Why is it useful information?. We already have a lot of data about 3I/ATLAS. For example, its core measures between 440 meters and 5.6 kilometers. Also that it moves at 220,000 km/h. Now, in addition, we know that it originated in an extremely cold environment, about 11,000 million years ago. This helps us understand the conditions of primitive planetary formation much better. As they always say, to know where we are going, it is very important to understand where we come from. There’s nothing like a visitor from a place far, far away to give us the pieces we need to understand it. Image |NSF/AUI/NSF NRAO/M.Weiss In Xataka | A Harvard astronomer has accused NASA of hiding 3I/ATLAS images. has an explanation

orders to undo the purchase of Manus for 2,000 million in the middle of the race for AI

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The purchase of Manus seemed like a move already resolved for Meta. The American company had closed an operation valued at more than 2 billion dollars by an artificial intelligence startup founded by Chinese engineers focused on one of the most disputed fields of the moment: AI agents. Now, China has ordered the operation to be undone. The decision turns an acquisition that seemed on track into a much broader notice, with a central mystery: how to cancel a purchase that has already been completed and with part of the team already working from Meta offices in Singapore. Here is one of the keys to the case: Manus was not a typical Chinese startup when Meta bought it. The company had closed its offices in China in July 2025 and had moved its operations to Singapore, a more favorable place to access foreign capital and Western models. But Reuters gives us a very important clueAccording to their sources, this transfer was made without Chinese regulatory approval. Beijing’s decision may have many readings, but possibly the Asian giant is seeking to prevent American companies from acquire talentintellectual property and key AI capabilities linked to its technological ecosystem. It is a movement that fits into a broader context: as Washington tries to limit Chinese technology companies’ access to advanced chipsBeijing would be seeking to protect its own strategic assets. A week ago we found out that the operation passed into the hands of several Chinese agencies, including the NDRC, the Ministry of Commerce and the antitrust regulator, with tools ranging from foreign investment to export controls. Finally, the NDRC has taken the most forceful step: prohibiting foreign investment in Manus and requiring the parties to withdraw the transaction, although the official statement did not name Meta. To understand why Meta was willing to close a deal worth more than $2 billion for Manus, you have to leave the regulatory field and look at the product. Meta spends around 70,000 million of dollars annually in AI infrastructure without having managed to achieve Meta AI’s success as a consumer product. The problem was not so much having more powerful models as turning them into something useful and salable. Manus fit right in there: he didn’t train his own modelsbut it had developed a layer capable of orchestrating them, executing complex tasks and delivering results. Behind all this is a warning that goes beyond Meta and Manus. The relocation of Chinese technology companies to Singapore had become a way to operate with more flexibility in an increasingly tense environment. However, Reuters reports that Beijing is toughening its approach and no longer limits its analysis to where the company is registered. Factors such as the origin of the equipment, the location of the research or data flows become determining factors. And that changes the rules for anyone trying to go down that path. Now, Beijing’s decision leaves more questions than immediate answers. At the moment It is not clear how the annulment will be carried out of an operation that had already materialized and that involves a company structured outside of China. What does seem defined is the framework: artificial intelligence has become a strategic terrain where the control of talent and technology weighs as much as the business. And on that board, movements like Meta’s may be exposed to much broader regulatory reviews than companies had calculated. Images | Manus, Xataka with Mockuuups Studio | Mariia Shalabaieva | aboodi vesakaran In Xataka | China has banned another AI startup from exporting talent and research: little by little, it is “nationalizing” AI

We have been thinking for 40 years that Spain escaped Chernobyl because it was far away. AEMET has discovered that it was pure luck

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“When the lava enters the tanks, it will cause approximately 7,000 cubic meters of water to overheat and evaporate, causing a significant thermal explosion. Our estimates are between two and four megatons. It will destroy absolutely everything within a 30-kilometer radius, including the three remaining reactors at Chernobyl. Then, all the radioactive material in the nuclei will be ejected with virulence and propagated by a large seismic wave. It can reach approximately 200 kilometers and could be lethal to the entire population of kyiv and much of Minsk. The radiation release will be immense and will impact Soviet Ukraine, Latvia, Lithuania, Belarus, as well as Poland, Czechoslovakia, Hungary, Romania and East Germany.” Since, to celebrate the 40th anniversary of the Chernobyl disaster, AEMET published meteorological reconstruction that explained why Spain was left out of the radioactive cloud that affected a good part of Europe, I can’t forget those words from the miniseries which HBO released a few years ago. Mostly because it was pure luck. Pure luck? But Ukraine is very far away. That’s what we used to think, that Spain was spared the hardest part of the Chernobyl hit because we were so far away. However, data from meteorologist Benito Jose Fuentes They say something else: three successive atmospheric reconfigurations that, at the critical moment, sent the radioactive cloud in another direction. But let’s go step by step. Indeed, on April 26, 1986, the Chernobyl nuclear power plant became an unstable “pressure cooker” whose explosion spread radiation throughout much of the continent. In fact, that radiation reached Spain shortly after: there is evidence of air filters in Valencia that detected the radioactivity on May 2, 3 and 4. However, we avoided the worst of the blow. According to Fuentes Lópezthe peninsula was at least twice (on April 29 and the days before May 2) “one turn of the wind” away from receiving a direct blow. Reconstructing the disaster. Sources Lopez has published a simplified simulation that reconstructs on a cartographic scale the evolution of the wind at medium and high levels of the atmosphere. This simulation is what gives us the fundamental keys. To begin with, at midday on April 26, a high pressure ridge extended between the Chernobyl zone and Scandinavia. This caused the winds (at 1,700 meters above sea level) to channel the pollutants to the north and Belarus, the Baltic republics, Sweden and Finland took the first hit. The world found out what was happening, precisely, through the sensors of a Swedish nuclear power plant two days later. Spain plays it. On April 29, the pattern changed and a storm in the Mediterranean (and a ridge in Portugal) turned the wind towards Central Europe. According to Fuentes López’s simulations, with this new direction it was a matter of hours before the radioactivity reached Spain. However, between May 1 and 2, a trough pushed the radioactive cloud towards Great Britain (and the Portuguese ridge acted as a wall that diverted the rest of the smaller clouds towards Italy and the Balkans). A reminder. The curious thing about all this is that, according to AEMET datathe dispersion was due to higher atmospheric waves at high levels and not to surface patterns such as storms and anticyclones. That is to say, the work (in addition to a mind-blowing work of atmospheric history) is a reminder that we normally relate to a small part of the weather. That, of course, is a mistake. The atmosphere is a very complex creature full of levels, teleconnections and strange relationships. We are at stake understanding it better. And I am no longer talking about climate change, or phenomena of that type. I’m saying that in most cases, as we already explained many expertsthe profound psychological, social and cultural consequences “turned out to be a much bigger problem than the radiation.” At the climatic level they will also be. And we really don’t know how to handle them well. Image | AEMET In Xataka | We believed that the “elephant’s foot” was the most radioactive point in Chernobyl reactor 4. we were wrong

how to declare them and in which cases you must do so in the 2026 declaration

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Let’s explain to you how to declare your cryptocurrencies in your Income 2025, which is the declaration we make in 2026 to account for the last fiscal year. You can now request and submit your draft online and from the mobilebut first it is advisable to pay attention to this. Let’s start this explanation by telling you in which cases you should declare your cryptocurrenciesso that you take into account if you have to do it. And then we will tell you the way in which you should enter them in the Income Tax return and the particularities of how they are declared. When should you declare your cryptocurrencies What you have to declare is everything you have won or lost in 2025 with the sale and exchange of cryptocurrencies. You must also declare when you exchange a cryptocurrency for a good or service, come on, when you have used them to pay for something. They are taxed like sharessuch as capital gains or losses. You have to declare all transactions, whether they generate profits or losses, regardless of the amount. This applies whether you mine cryptocurrencies or trade to buy and sell them. This is so because They are considered a part of your heritage and your income, and this makes them equivalent to when you earn money doing a job or selling stocks. It is important to make sure you declare everything, because You can have fines of up to 20,000 euros. If you do not declare movements, you will be fined around 20 euros for each undeclared data up to that figure. And if you declare incorrect data or data is omitted, the fine is 150 euros, although with the possibility of increasing to 0.5% or 1.5% of the amount of the operation. Losses or profits are calculated by the difference between the transfer value or the value at which you sold them and the acquisition value. You must also declare airdrops, which are those cryptocurrencies that a website can give you. exchange in exchange for registering or doing some operations in them. Besides, mining is also declaredand since it requires material or personal means to carry it out, it is an economic activity. Come on, you must register as a professional or businessman, and then declare the profits or losses by subtracting operating expenses such as electricity, equipment and so on, and the rewards or benefits obtained. How to declare cryptocurrencies Cryptocurrencies are declared in a specific section. You will have to use boxes 1,800 and 1,814, which detail the movements and operations carried out that are related to cryptocurrencies. When declaring the movements, you will have to write the name of the cryptocurrency, the key or what you have done with this asset, the value of the acquisition and the value of the transaction. And so with each of the movements you have made. For balances or holdings of cryptocurrencies abroad above 50,000 eurosyou will also have to fill out form 721. In addition, if the crypto balance abroad grows by more than €20,000 compared to the previous declaration, you must submit it again. Profits obtained are taxed in different ways depending on how much they amount to. They are taxed on the savings tax base, and these are their tax rates: Personal income tax of 19% for benefits of up to 6,000 euros. Personal income tax of 21% for benefits between 6,001 and 50,000 euros. Personal income tax of 23% for benefits between 50,001 and 200,000 euros. Personal income tax of 27% for benefits between 200,001 and 300,000 euros. Personal income tax of 30%: for benefits of more than 300,001 euros. Another thing to keep in mind is staking. If rewards are received for transferring the coins to a platform, it is considered a return on movable capital, which is taxed on the savings basis at a rate of between 19 and 30%. Meanwhile, if it is done as an economic activity, it is taxed on the general basis at rates that can range between 19% and 47%. Rewards obtained by staking are valued in euros at the time of receipt. You should also know that the Treasury uses the FIFO (First In, First Out) method. This means that the first cryptocurrencies you bought will also be considered the first to be sold. Additionally, if you suffer losses from cryptocurrencies you can offset them with other capital gains from the same return. In Xataka Basics | Stablecoins: what they are, how they work, advantages and uses of these stable cryptocurrencies

A young man has solved a mathematical problem that lasted 60 years in 80 minutes with ChatGPT. That’s the least interesting thing about the story.

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He is 23 years old, his name is Liam Price and he has no advanced mathematical training. Even so, a few days ago he opened the Erdös problem websitepicked one at random and pasted it into ChatGPT. I didn’t know the history of the problem or who had tried it before. What he received back seemed like a good solution, and after consulting with a friend who was studying mathematics, the two realized they might be on to something special. A few hours later Terence Tao, one of the most renowned mathematicians in the world, confirmed that problem #1196 of Erdös, a conjecture about primitive sets of integers that had not been solved since 1966, had a solution. I had found her GPT-5.4 Pro in just 80 minutes. Not like that. This problem analyzed a question about the behavior of a particular mathematical sum on primitive sets, that is, sets of integers where none divides the other, when those numbers become very large. Jared Lichtman, a Stanford mathematician, had spent years on the problem and had made partial progress, but he and those who had tried before were starting from the same starting point that seemed like the right path. A novel idea. GPT-5.4 used another starting point. He stayed in the airmetic terrain and used a special function called von Mangoldt functiona classic tool of number theory known for its connections to prime numbers and Riemann zeta function. No one had thought about that approach to the problem, and as Lichtman explained when talking about the OpenAI model solution, “The LLM took a completely different route.” The achievement is real, but with nuances. Litchman praised the proposed solution by GPT-5.4, but there is one detail that has been omitted in many comments on this event: the raw output of ChatGPT was, in the words of this mathematician, “pretty poor.” This solution made it necessary for several experts to interpret it, detail it and extract from it the underlying idea that allowed the conjecture to be solved. Price didn’t know he had the solution until his friend read it, and he wasn’t sure until Tao confirmed it. The official repository of AI contributions to Erdös problemsmaintained by Tao himself on GitHub, classify the result as a solution generated in human-AI collaboration, not as a solution developed solely by AI. The distinction is important. A previous scandal. A few weeks ago Sebastien Bubeck, a researcher at OpenAI, posted on X that GPT-5 had “solved” several Erdös problems. That publication exceeded 100,000 views, but the mathematical community and also that surrounding the AI ​​industry criticized that statement. Demis Hassabis, CEO of DeepMind, called that statement “shameful.” What had actually happened is that the model I had found solutions to already solved problems on the web. Bubeck finished deleting the original tweet and tried to back down, but all this raised doubts about the validity of the application of AI to solve mathematical problems. AI and the mathematical success rate. Terence Tao and Nat Sothanaphan maintain the aforementioned record of all AI contributions to Erdös problems on GitHub. Each of the entries in that list or table is classified with a traffic light: green for complete solution, yellow for partial progress, and red for failure. In the category of completely AI-generated solutions with no known prior literature there are three green, fourteen yellow, and eight red traffic lights. However, the repository itself adds a unique comment: those who try to use AI to solve these problems and fail do not usually report it, so it is likely that AI has been applied “silently” to a large number of these problems without success, and those attempts do not appear in any table. There is a clear bias here because only successes generate headlines. Trying to measure what matters. In February 2026, eleven mathematicians created the initiative “First Proof“. In it they included ten mathematical problems that arose naturally in their research projects. For each one they included encrypted answers uploaded to a verification site, and they gave the AI ​​systems a week to try to solve those problems that had never appeared in any training data set. Preliminary results indicate that today AI models cannot overcome that barrier autonomously, and what happens is that there are still limits to what AI can really contribute in mathematics. But then, is there a revolution or not? Terence Tao offered a clear explanation as to why GPT-5.4 had succeeded where others had failed for 60 years. What had happened was what he described as a collective blockage of the mathematical community, because everyone started from the same origin because it was “the natural one”, the one marked by tradition. The AI ​​didn’t know that was the “correct” way to start, and that ignorance turned out to be an advantage. It’s not that the AI ​​was smarter, it’s that it had no biases about how to approach the problem. Now it remains to be seen if this novel way of trying to solve problems in unorthodox ways works. This will confirm whether what happened with Erdös’s problem number 1196 was an isolated case or whether a 23-year-old boy has managed to change our vision of how to tackle mathematical problems. Image | Universal Pictures In Xataka | There is a mathematically perfect way to cut a ham and cheese sandwich and it has been discussed since 1938.

an outlet with discounts of up to 40%

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If you are thinking of renewing your cell phone and do not want to pay more, you may be interested in one of the cell phones that MediaMarkt exhibits in its stores. But where do these phones really end up and how can they be purchased? On eBay, MediaMarkt has a outlet with numerous smartphone models (even the latest generation). These are some of the models that are available on sale. Mobile – Google Pixel 10, Obsidian, 128 GB, 12 GB RAM, 6.3″ Actua OLED, The price could vary. We earn commission from these links iPhone 16 Pro for 986.99 euros: with ProMotion 120 Hz screen and A18 Pro chip. Samsung Galaxy Z Flip7 by 959.65 euros: 6.9 inches and with Galaxy AI. Xiaomi 15T by 424.15 euros: with 256 GB and 6.83-inch AMOLED screen. Google Pixel 10 by 509.15 euros: 6.3-inch Actua OLED display and Google Tensor G5. iPhone 17 Pro Max by 1,948.64 euros: with 6.9-inch screen and 2 TB of storage. iPhone 16 Pro If you don’t mind not having the latest iPhone model, the iPhone 16 Pro is a very good option to consider in the MediaMarkt outlet on eBay. Its original price is 1,200 euros, but now you can get it with a 18% discountbeing available for 986.99 euros. He iPhone 16 Pro It is made of grade five titanium. Its 6.3-inch Super Retina XDR display with ProMotion 120Hz It reaches 2,000 nits. The brain of this mobile is the Apple A18 Pro and this model on offer comes with a storage capacity of 512 GB. Apple iPhone 16 Pro, Natural Titanium, 512 GB The price could vary. We earn commission from these links Samsung Galaxy Z Flip7 If you want a folding mobile phone, you have this Samsung Galaxy Z Flip7 on sale at the MediaMarkt outlet. Its original price is 1,200 euros, but now you can get it with a 22% discountsince it is available for 959.65 euros. This Samsung Galaxy Z Flip7 It has a 6.9-inch screen when unfolded and offers up to seven years of updates. Comes with Galaxy AIExynos 2500 processor, 12 GB RAM and 512 GB internal storage. Mobile – Samsung Galaxy Z Flip7, Blue, 512 GB, 12 GB RAM, 6.9″ FHD+, Exynos 2500 The price could vary. We earn commission from these links Xiaomi 15T If you want to spend less money on your new mobile, this Xiaomi 15T is a good purchase option right now. Now you have applied a 35% discount and has gone from costing 649 to 424.15 euros. He Xiaomi 15T It has a 6.83-inch AMOLED screen and its photographic system is signed by Leica. Its brain is the MediaTek Dimensity 8400-Ultra processor, accompanied by LPDDR5X RAM and 256 GB internal storage. Its battery has a capacity of 5,500 mAh and supports fast charging at 67 W. Mobile – Xiaomi 15T, Grey, 256 GB, 12 GB RAM, 6.83″ AMOLED WQHD+ Eye Care The price could vary. We earn commission from these links Google Pixel 10 With a 40% discountthe Google Pixel 10 is one of those mobile phones that has been most successful since it was launched on the market. Its original price is 849 euros, but now you can get it at the MediaMarkt outlet on eBay for 509.15 euros. He Google Pixel 10 It is a mobile with a 6.3-inch Actua OLED displayso it is a perfect size to handle with one hand. Its brain is the Google Tensor G5, which is accompanied by 12 GB of RAM and 128 GB of storage. Furthermore, another thing that makes this terminal stand out is its photography system. Mobile – Google Pixel 10, Obsidian, 128 GB, 12 GB RAM, 6.3″ Actua OLED, The price could vary. We earn commission from these links iPhone 17 Pro Max And if what you want is one of the top phones you can buy on the market right now, you can get the iPhone 17 Pro Max with 2 TB for 1,948.64 euros compared to the original price of 2,459 euros. This means achieving it with a 21% discount. This iPhone 17 Pro Max has a 6.9-inch Super Retina OLED display and the most notable thing is its 2 TB of storage. It has an 18 MP Center Stage front camera. Its brain is the A19 Pro chip. Apple iPhone 17 Pro Max, Dark Blue, 2 TB, 5G, 6.9 ” OLED Super Retina XDR, Ch The price could vary. We earn commission from these links Some of the links in this article are affiliated and may provide a benefit to Xataka. In case of non-availability, offers may vary. Images | Webedia, Google, Samsung, Xiaomi and Apple In Xataka | The best mobile phones, we have tested them and here are their analyzes In Xataka | Best wireless headphones. Which one to buy and 21 models from 15 euros to 470 euros

a poacher, two 200 kilo specimens and a stratospheric fine from the Civil Guard

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On April 20, the Civil Guard detained a professional fisherman in the port of Águilas (Murcia) with two freshly caught bluefin tuna. Each piece weighed a few pounds and the guy had no specific authorization, he had not communicated either his departure or his entry into the port and, of course, there was no trace of traceability documentation. With Law 3/2001, of March 26, on State Maritime Fisheries in the hand, the fisherman is exposed to a fine of up to 600,000 euros for what would be the most expensive kilo of tuna in the world. The story, however, is more interesting. That great success called ‘bluefin tuna’. Atlantic bluefin tuna is one of the great fishery management successes of the 21st century. It has gone from being on the brink of collapse in 2007 to be declared by the IUCN as a species of “least concern” in 2021. I don’t want to exaggerate, but it is something amazing. And the sanctioning regime has had a lot to do with it. Because we don’t even need to remember it, but tuna fishing (even today) is full of irregularities. Understandably, on the other hand. Because, whether we like it or not, the success of tuna recovery has made poaching easier and more profitable than before. Let us keep in mind that, at the beginning of the year, Japan Tuna was auctioned at 11,500 euros per kilo. Obviously, it is an exceptional case, but it gives an idea of ​​the perverse incentives generated by the black market. The striking thing is that what SEPRONA has “hunted” in Águilas cquadruples the legal annual fee that the ships of the Region of Murcia have assigned. Can we do better? We’re not doing it wrong, really:The figures speak for themselves. But the situation is very complex. It makes no sense that recreational bluefin tuna fishing in Spain has become a race to go fishing first. In the last five years, the longest effective fishing season was seven days in 2021. That is, it took fishermen a week to accidentally kill so many tuna that the fishing ended. In 2022 and 2023 there were five days and In the following years, three. Above all, because we know that with tougher regulations this doesn’t happen. We are working on it. Not everything we need, but it’s something. This January it came into force a regulation that tries to digitize the capture record and close the “statistical black hole”. The experts are worse They are not very optimistic either.. They fear that the pressure will grow year after year and that we will not go fast enough. Come on, either we step on the accelerator or things are going to get more and more complicated. And, in the end, the solution will only come when the current system bursts at the seams. It wouldn’t be something exceptional: we are specialists in it. As I said, the good news and the bad news are the same: that this will happen soon. Image | Peter Lam CH In Xataka | Spain is going to continue fishing for eels until we have no more eels to catch

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