World-first demonstrations validate the company’s quantum navigation technologies work in real-world environments and outperform conventional GPS backups by up to 50x, delivering true commercial and strategic quantum advantage while addressing threats to global trade.
Delivery robots made by companies such as Starship Technologies and Kiwibot autonomously make their way along city streets and through neighborhoods.
Under the hood, these robots—like most mobile robots in use today—use a variety of different sensors and software-based algorithms to navigate in these environments.
Lidar sensors—which send out pulses of light to help calculate the distances of objects—have become a mainstay, enabling these robots to conduct simultaneous localization and mapping, otherwise known as SLAM.
New research reveals that neurons in the visual cortex are far more adaptable than previously thought, responding dynamically to complex stimuli during object recognition tasks.
Ambrosi and colleagues profile human skeletal stem cells (hSSCs) across ten fetal skeletal sites and from patients throughout adulthood, identifying, mapping, and functionally testing four distinct hSSC subtypes. Skeletal aging and disease are characterized by a dominant fibrogenic hSSC variant, but targeting defined gene regulatory networks reinstates functional hSSC diversity.
Scientists may have identified a way to naturally regulate blood sugar levels and sugar cravings in a similar fashion to drugs like Ozempic.
In mice and humans, the key to unlocking this natural process was found to be a gut microbe and its metabolites – the compounds it produces during digestion.
By increasing the abundance of this one gut microbe in diabetic mice, researchers led by a team at Jiangnan University in China showed they can “orchestrate the secretion of glucagon-like peptide-1”
Markov chain
Posted in futurism | Leave a Comment on Markov chain
In probability theory and statistics, a Markov chain or Markov process is a stochastic process describing a sequence of possible events in which the probability of each event depends only on the state attained in the previous event. Informally, this may be thought of as, “What happens next depends only on the state of affairs now.” A countably infinite sequence, in which the chain moves state at discrete time steps, gives a discrete-time Markov chain (DTMC). A continuous-time process is called a continuous-time Markov chain (CTMC). Markov processes are named in honor of the Russian mathematician Andrey Markov.
Most people’s experiences with polynomial equations don’t extend much further than high school algebra and the quadratic formula. Still, these numeric puzzles remain a foundational component of everything from calculating planetary orbits to computer programming. Although solving lower order polynomials—where the x in an equation is raised up to the fourth power—is often a simple task, things get complicated once you start seeing powers of five or greater. For centuries, mathematicians accepted this as simply an inherent challenge to their work, but not Norman Wildberger. According to his new approach detailed in The American Mathematical Monthly, there’s a much more elegant approach to high order polynomials—all you need to do is get rid of pesky notions like irrational numbers.
Babylonians first conceived of two-degree polynomials around 1800 BCE, but it took until the 16th century for mathematicians to evolve the concept to incorporate three-and four-degree variables using root numbers, also known as radicals. Polynomials remained there for another two centuries, with larger examples stumping experts until in 1832. That year, French mathematician Évariste Galois finally illustrated why this was such a problem—the underlying mathematical symmetry in the established methods for lower-order polynomials simply became too complicated for degree five or higher. For Galois, this meant there just wasn’t a general formula available for them.
Mathematicians have since developed approximate solutions, but they require integrating concepts like irrational numbers into the classical formula.
<p>Modern warfare is constantly changing with numerous technologies, including machine vision, both driving and being used to keep up with it.</p>
China conducted a secret weapon test that has caught the US intelligence community off guard. Back in August, China lit up the sky when it tested a nuclear-capable hypersonic missile, which travels faster than the speed of sound. The global shipping supply crisis might affect Christmas, thanks in part to China’s power shortage. And a man in Jiangsu Province takes drastic measures after his daughter fails to solve a math problem correctly. Watch this episode of China Uncensored for that and more of this week’s China news headlines.
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Swarms of earthquakes have been jolting southern Italy with increasing intensity since 2022, threatening hundreds of thousands of people living atop a volcanic area known as Campi Flegrei, where the land experiences slow vertical movements.
While authorities debate disaster responses and evacuation protocols, researchers may have found a way to thwart the cyclic unrest altogether: by managing water runoff or lowering groundwater levels, thus reducing fluid pressure within the geothermal reservoir.
Through subsurface imaging and lab experiments, Stanford scientists have shown how pressure buildup from water and vapor in the reservoir under Campi Flegrei can lead to earthquakes when the caprock, or lid, seals.