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We deal with an isoperimetric problem on the Finsler hyperbolic plane. The space is defined as the Lie group of proper affine transformations of the line with a left-invariant Finsler structure. To state the problem, we use the left-invariant volume form. The optimal isoperimetric loops are found in terms of convex trigonometry functions. We also propose a generalization of the isoperimetric inequality in parametric form.
By stacking custom-designed silver nanoparticles like nanoscale LEGO bricks, scientists stabilized a mysterious crystal phase that had never been observed before。 The material not only solves a longstanding puzzle in materials science but also exhibits promising quantum properties at room temperature
A decades-old mystery about Saturn has finally been solved thanks to the James Webb Space Telescope。 Scientists discovered that Saturn’s changing “rotation rate” was never caused by the planet speeding up or slowing down, but by powerful winds high in its atmosphere。 Webb’s unprecedented observations revealed that Saturn’s northern lights actively
Astronomers have finally cracked the mystery behind a strange class of repeating cosmic signals that has baffled scientists for years。 Using Australia’s ASKAP radio telescope, researchers traced the bursts to a rare stellar duo in which a dense white dwarf is relentlessly siphoning material from a nearby red dwarf companion。 As the stolen matter sp
A lightweight new X-ray telescope could finally give scientists something they’ve never had before: a complete chemical map of the Moon。 Researchers used detailed mission simulations to show that a compact telescope orbiting the Moon could identify key elements across the entire lunar surface, helping reveal how the Moon formed and evolved
A stunning spiral galaxy called Messier 88 is racing through the crowded Virgo Cluster on a journey that will dramatically reshape its future。 At its heart lies a supermassive black hole about 100 million times the mass of the Sun, while its graceful spiral arms sparkle with young star clusters and dark clouds of dust。 But as M88 plunges deeper int
Scientists have uncovered unexpected quantum complexity inside cobalt, a metal long thought to be fully understood。 Advanced measurements revealed a dense network of topological electronic states that remain robust at room temperature。 These states enable extremely fast electron behavior and can be switched or controlled using magnetism
New studies suggest consciousness can't be judged solely by behavior, whether it's a chatbot discussing philosophy or a bee searching for nectar。 Researchers are increasingly focusing on the internal mechanisms of brains and computers, concluding that today's AI is likely not conscious while leaving open the possibility for both conscious insects a
NASA’s Roman Space Telescope could revolutionize the search for alien worlds by discovering around 100,000 exoplanets—far more than all previous missions combined。 It will look deep into unexplored parts of the Milky Way, helping scientists compare planetary systems across very different galactic environments。 The mission will also uncover rare Ear
NASA’s PExT terminal has shown that spacecraft can seamlessly communicate through multiple government and commercial networks, a major step beyond traditional single-network systems。 The mission is now expanding to test new capabilities that could help create a more flexible, reliable communications infrastructure for future space missions
A new room-temperature quantum device uses twisted light to entangle photons and electrons, overcoming one of the biggest hurdles in quantum technology。 The breakthrough could pave the way for smaller, cheaper quantum systems with applications ranging from secure communications to future AI and computing platforms
Researchers discovered a way to reverse the direction of energy flow in turbulence, challenging a theory that has stood for more than 80 years。 The finding could open new possibilities for controlling ocean currents, improving medical technologies, and enhancing climate forecasting
Seller of the Sound Blaster Katana V2X doesn't consider the behavior a vulnerability
NASA’s futuristic X-59 jet is about to face its biggest challenge yet: breaking the sound barrier for the first time。 After a successful series of test flights that pushed the aircraft to near-supersonic speeds, engineers are preparing to fly it faster than Mach 1 and eventually up to Mach 1。6 at 60,000 feet
Scientists at the University of Houston have shattered a long-standing superconductivity record, creating a material that can conduct electricity with zero resistance at the highest temperature ever achieved under normal pressure conditions。 Their breakthrough pushes superconductivity to 151 Kelvin (minus 122°C), beating a record that stood for mor
Researchers have discovered how microscopic imperfections and atomic vibrations can be used to control a powerful quantum effect in an advanced material。 The effect can turn alternating electrical signals from the environment directly into the kind of current electronic devices need, without traditional components。 As temperature changes, the signa