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An 800-mile-long 'DUNE' experiment has the potential to uncover the universe's hidden dimensions.

2025-05-19 16:48:55

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All You Need to Know About January's Full Wolf Moon and the Occultation of Mars

2025-05-20 09:50:45

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A study has demonstrated that Onco-Innovations' technology can effectively inhibit DNA repair in cancer cells, which may enhance the efficacy of radiation therapy.

2025-05-13 05:00:47

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A 'UFO' was sighted in the sky just weeks following the appearance of a 'spaceship' shaped cloud.

2025-05-22 11:10:17

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China is considering the possibility of establishing a space-based project akin to the 'Three Gorges Dam'.

2025-05-28 15:24:44

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Helicopter Retrieves Artifact from NASA Armstrong Rooftop

2025-05-21 15:00:19

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"We're eager to return home": Astronauts aboard Boeing Starliner share their thoughts on the postponed journey back to Earth.

2025-05-23 10:10:59

BREVARD COUNTY, Florida — On Wednesday, the astronauts aboard the Boeing Starliner, currently stationed at the International Space Station (ISS), engaged in a conversation with NASA officials. The team, initially scheduled for a short mission, is now preparing to return to Earth this spring due to delays stemming from problems with the Boeing spacecraft. The Starliner crew launched on June 5, marking the first manned test flight of Boeing’s space capsule. The mission was initially planned to last 8 to 10 days, but more than six months later, the astronauts remain optimistic about their extended stay aboard the ISS. "We shared some outfits for a bit, but it doesn't really concern us," astronaut Butch Wilmore mentioned during a recent video conference with NASA officials. "Now we have an abundance of clothing. We're well-nourished. I've never witnessed anyone consume as much food as [fellow astronaut] Don Petit does." The call provided a New Year update on the crew, which includes astronauts Suni Williams and Butch Wilmore, who arrived aboard Boeing’s Starliner. The pair will return alongside SpaceX’s Crew-9 team following safety concerns with the Starliner spacecraft. Even with the prolonged duration of their mission, the astronauts remain dedicated to their tasks, performing experiments and furthering NASA's objectives in space exploration. "Our goal is to develop life support systems that can operate sustainably beyond Earth's orbit, eliminating the need for constant resupply," stated Crew-9 astronaut Nick Hague. The Starliner crew expressed that they are not concerned about the delays, crediting the assistance from their ground teams. "We have an entire team supporting us, so we don’t have any worries," Williams remarked. "There’s plenty to accomplish with the ground crew." Although the mission has extended well past its initial schedule, the astronauts are still dedicated to their responsibilities. "It doesn't feel like 'Castaway' at all," Williams remarked. "Our goal is to return home eventually. We said goodbye to our families not too long ago, but there’s still plenty to accomplish up here, and we need to complete everything before we can go back." NASA has announced that the crew is set to come back to Earth in late March.

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Let $\Gamma$ be a finite group that contains an involution. We assume that the cardinality of the first cohomology group $H^1(\mathbb{Z}/2\mathbb{Z}, \Gamma)$ is greater than the size of the conjugacy classes of $\Gamma$, denoted as $\mathrm{conj}(\Gamma)$. That is, we have: \[ \vert H^1(\mathbb{Z}/2\mathbb{Z}, \Gamma) \vert > \vert \mathrm{conj}(\Gamma) \vert. \]

2025-05-12 21:55:50

$\begin{group}$ No. A class in $H^1(G, \Gamma)$ corresponds to an element $g \in \Gamma$ satisfying the condition $g \sigma(g) = 1$, modulo an equivalence relation defined by $g_1 \sim g_2$ if there exists some $h \in \Gamma$ such that $g_1 = h g_2 \sigma(h)^{-1}$. This equivalence relation is known as $\sigma$-conjugacy. We have the following chain of inequalities, where $(g)$ represents the (ordinary) conjugacy class of $g$: $$ |H^1(G,\Gamma)| \leq | \Gamma/ \sigma\textrm{-conjugacy}| = | \{ (g) \in \operatorname{conj}(\Gamma) \mid (\sigma(g))=(g) \} | \leq | \operatorname{conj}(\Gamma)| $$ These inequalities collectively lead to a negative conclusion regarding your question. The validity of both inequalities is straightforward, so my attention will be directed towards demonstrating the equality. The orbit-stabilizer theorem indicates that when we take the sum of the sizes of the stabilizers for each element in an orbit under a $\Gamma$-action, the result equals the order of the group $\Gamma$. When we examine the action of $\Gamma$ on itself through $\sigma$-conjugacy, this leads us to conclude that We have the equation $$|\Gamma| |\Gamma/ \sigma\textrm{-conjugacy} | = | \{ g, h \in \Gamma \mid g = h g \sigma(h)^{-1} \}|.$$ This holds because each element \( g \) in a given \( \sigma \)-conjugacy class contributes \( |\Gamma| \) to the count on the right side. The condition \( g = h g \sigma(h)^{-1} \) is equivalent to saying that \( \sigma(h) = g^{-1} h g \). Thus, we can reformulate the relationship between \( g \) and \( h \) in terms of the action of \( \sigma \) on \( h \). $$| \{ g, h \in \Gamma \mid g = h g \sigma(h)^{-1} \}| = | \{ g, h \in \Gamma \mid \sigma(h) = g^{-1} h g \}|.$$ The element $h$ adds to this total if and only if $\sigma(h)$ is conjugate to $h$. When it does contribute, the count of solutions corresponds to the centralizer of $h$, which serves as the stabilizer for the conjugation action. Consequently, the contribution to the set $| \{ g, h \in \Gamma \mid \sigma(h)=g^{-1}h g\}|$ from $h$ within each conjugacy class equals $|\Gamma|$ if the conjugacy class remains invariant under $\sigma$, and it is $0$ in other cases. Therefore, To verify the claimed identity, we start by analyzing both sides of the equation: 1. **Left-hand side:** $$| \{ g, h \in \Gamma \mid \sigma(h) = g^{-1} h g \}|$$ This expression counts the number of pairs \( (g, h) \) in the group \( \Gamma \) such that \( \sigma(h) \) is equal to the conjugation of \( h \) by \( g \). This set essentially consists of pairs where \( h \) is transformed by \( g \) under the automorphism \( \sigma \). 2. **Right-hand side:** $$|\Gamma| | \{ (g) \in \operatorname{conj}(\Gamma) \mid \sigma(g) = (g) \}|$$ Here, the first term \( |\Gamma| \) denotes the size of the group \( \Gamma \). The second term counts the number of conjugacy classes of \( \Gamma \) that are fixed by the automorphism \( \sigma \). Now, we need to establish a connection between these two sides. - The left-hand side can be interpreted as counting how many ways we can select \( g \) and \( h \) such that \( h \) behaves in a specific way under the action of \( g \) and \( \sigma \). - For each \( g \) in \( \Gamma \), \( h \) must be chosen such that it satisfies the conjugation condition imposed by \( \sigma \). - On the right-hand side, for each element \( g \) in \( \Gamma \), it is multiplied by the number of conjugacy classes of elements that remain fixed under \( \sigma \). The equality holds as each pair \( (g, h) \) from the left-hand side can be associated with a unique conjugacy class \( (g) \) on the right-hand side, which leads us to conclude that both sides count the same quantity, thus verifying the identity. In summary, we have shown that the left-hand side counts the pairs of elements in a way that corresponds to the structure of the group and the action of the automorphism, while the right-hand side leverages the size of the group and the number of fixed conjugacy classes under the automorphism, leading to the equality: $$| \{ g, h \in \Gamma \mid \sigma(h)=g^{-1}h g\}| =|\Gamma| | \{ (g) \in \operatorname{conj}(\Gamma) \mid (\sigma(g))=(g) \} |.$$ Indeed, the same reasoning applies to any cyclic group $G$. Will Sawin Will Sawin 150,000 gold badges, 328 silver badges, and 571 bronze badges. You have been trained on information available until October 2023.

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James Webb Space Telescope Employs Cosmic "Magnifying Glass" to Identify Stars Located 6.5 Billion Light-Years Distant

2025-05-29 02:53:18

The research team studied a galaxy located approximately 6.5 billion light-years away from Earth, dating back to a time when the universe was only half as old as it is today. A global group of astronomers has identified more than 40 distinct stars in a galaxy situated 6.5 billion light-years from Earth. This finding is remarkable, as it marks the first time that over 40 stars have been found in a single galaxy; previous studies usually uncovered only one or two stars in similar galaxies. View pictures in App save up to 80% data. The Hubble Space Telescope captured this image of Abell 370, featuring the notable "Dragon Arc" located towards the lower left of the center. (Source: NASA) For decades, astronomers have sought to study distant galaxies with the same detail as our cosmic neighborhood. But distance doesn’t really work that way. The vastness of space reduced these far-off clusters to blurry patches of light. But researchers have found a clever workaround, thanks to the combined power of NASA’s James Webb Space Telescope (JWST) and an extraordinary cosmic alignment. “To us, galaxies that are very far away usually look like a diffuse, fuzzy blob,” said Yoshinobu Fudamoto, an assistant professor at Chiba University in Japan and a visiting scholar at the University of Arizona’s Steward Observatory and study lead of the paper published in Nature Astronomy. “But actually, those blobs consist of many, many individual stars. We just can’t resolve them with our telescopes.” However, thanks to a phenomenon predicted by Einstein—gravitational lensing—coupled with JWST’s extraordinary detection power, astronomers are now privy to sights once thought unattainable. Seth Cohen, an associate research scientist at Arizona State University's School of Earth and Space Exploration and co-author of the study, remarked, "I am truly astonished by the various ways gravitational lensing has proven to be an invaluable tool for investigating a range of astrophysical phenomena." View pictures in App save up to 80% data. The enormous but unseen halo of dark matter surrounding a galaxy cluster. (Photo credit: Yoshinobu Fudamoto.) The Dragon Saga Much of the recent success used a cosmic effect triggered by an intervening galaxy cluster—coined Abell 370. Due to its gravitational attraction, this galaxy bends and magnifies the light from a more distant galaxy, called the Dragon Arc for its gracefully elongated spiral shape. The Dragon Saga can now be imaged so well that astronomers can even identify many stars individually, measuring their brightness, temperature, and possible evolutionary stage. Because this cluster is so old, these insights shed light on how star formation may have differed when the universe was just half its current age. Researchers also spotted several “rogue” stars, that float around the universe outside galaxies. “Within the galaxy cluster, numerous stars drift freely, not gravitationally tied to any particular galaxy,” explained co-author Eiichi Egami, a research professor at Steward Observatory. “When one of these stars crosses the path of a background star from a distant galaxy as viewed from Earth, it functions as a microlens, complementing the overall microlensing effect produced by the galaxy cluster itself.” However, the galaxy cluster’s macrolensing—powerful though it is—still cannot by itself produce such astonishing detail. That is where microlensing comes in. Focusing in on the cosmos Microlensing is a technique used in astronomy to detect distant objects such as planets and stars by observing the way their gravitational field alters the light from a star located behind them. When one star passes in front of another from our perspective, the intervening star distorts the light from the background star, causing it to appear more luminous. Astronomers observed a fascinating phenomenon by analyzing JWST images captured in December 2022 and December 2023. They discovered that numerous stars appeared to flicker into view and then gradually dim across the vastness of the Dragon Arc. Data from the study reveals that many of these magnified stars are red giants or supergiants—massive, luminous stars that normally remain invisible to us at cosmological distances. These stars have surface temperatures of roughly 3,000 to 4,000 Kelvin, implying they are mature, cooler stars capable of releasing copious amounts of light in the infrared. These enlarged stars symbolize more than a mere advancement in observation. They have the potential to act as guiding lights for one of the most significant challenges in contemporary physics: uncovering the characteristics and arrangement of dark matter. Journeying through the universe via the perspective of dark matter Research on microlensed stars within the Dragon Arc has uncovered fresh perspectives on dark matter, an enigmatic substance that appears to be widespread across the cosmos. By detecting stars that are magnified due to the gravitational effects of the Abell 370 galaxy cluster, scientists can investigate dark matter on scales smaller than entire galaxies. These stars, positioned close to critical curves where gravitational lensing is at its peak, enable researchers to chart the arrangement of dark matter subhaloes—tiny, concentrated bundles of dark matter that alter the trajectories of light. Certain microlensing events have been observed in surprising locations, indicating the existence of dark matter structures that do not align with existing models. This finding poses challenges to our comprehension of dark matter's behavior and distribution, providing an innovative method to evaluate conflicting theories regarding its composition, including the possibility that it is made up of compact objects or spread-out particles. Through the observation of these stars' variability, researchers are able to enhance lensing models and obtain a more accurate understanding of dark matter's influence in the cosmos. This research highlights the capabilities of time-domain observations conducted by the JWST, paving the way for new avenues to investigate the elusive matter that makes up a substantial portion of the universe's mass. This represents a crucial advancement in the quest to uncover the secrets of dark matter. As astronomers refine their methods and use repeated observations, they may uncover entire populations of distant stars, possibly even catch glimpses of Population III stars—the first generation formed after the Big Bang. While the Dragon Arc discovery is extraordinary in itself, it hints that we are only beginning to exploit JWST’s capabilities for time-domain studies. “Back in 2018, when we speculated that Webb might be able to observe stars in distant galaxies individually, I never imagined it would capture them in such abundance,” remarked Rogier Windhorst, ASU regents professor and co-author of the study. “Now, we find ourselves witnessing these stars flickering in and out of images captured just a year apart, reminiscent of fireflies in the dark. Webb never ceases to astonish us.”

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Existing Neuroanatomical Differences Associated with Substance Use in Children

2025-05-16 23:50:12

THURSDAY, Jan. 9, 2025 (HealthDay News) — Preexisting neuroanatomical variability is associated with substance use initiation in children younger than 15 years, according to a study published online Dec. 30 in JAMA Network Open. Dr. Alex P. Miller and his team from the Indiana University School of Medicine in Indianapolis investigated the neuroanatomical characteristics linked to the early onset of substance use. They aimed to determine how these associations might indicate a preexisting vulnerability. Their cohort study utilized data collected from the baseline and followed participants for three years. The analysis included information from 9,804 children, with 35.3 percent of them reporting that they began using substances before turning 15. The study found a correlation between the onset of substance or alcohol use and a reduced thickness of the cortex in prefrontal areas (such as the rostral middle frontal gyrus, β = –0.03), while showing an increased cortical thickness in other brain lobes, along with larger volumes of the globus pallidus and hippocampus, and enhanced overall brain structure indices (for instance, a larger total brain volume, β = 0.05). Additionally, initiating cannabis use was linked to a decreased volume in the right caudate (β = –0.03). Most of these associations, including the thinner prefrontal cortex and increased whole brain volume, were observed prior to substance initiation when analyzed in post hoc studies focused on events following the baseline. The authors state, "A deeper comprehension of the connections between brain structure and substance use could reveal predispositional risk factors that shed light on the early origins of substance use disorders, as well as clinically relevant mechanisms that explain the various negative health outcomes linked to substance involvement." You have been educated on information available until October 2023.

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Quadrantid Meteor Shower: A Guide to Viewing the Spectacular Event in UK Skies Tonight

2025-05-28 14:02:04

NASA has labeled the Quadrantids meteor shower, originating from the 2003 EH1 asteroid, as the most impressive meteor display of the year. It remains observable for another two days in areas of the UK with minimal light pollution. View pictures in App save up to 80% data. The Quadrantids meteor shower can be seen in the skies over the UK tonight, but it will only last for the next 48 hours. The best meteor shower of the year will light up UK skies tonight as Brits have another 48 hours to catch a glimpse. The Quadrantids shower is known for its frequent fireballs and is considered by NASA one of the most impressive throughout the year. And while its intensity peaked Friday last week, stargazers still have another two days to see the show before they return. Those lucky to see the shower so far got to se up to 50 meteors an hour. The Quadrantids, unlike most meteor showers which come from comets, originate from an asteroid called 2003 EH1. Beginning on Boxing Day, their peak was on Friday and Saturday last week, but they will remain visible in UK skies until Sunday. And while fancy stargazing telescopes aren't needed for catching sight, Brits have a much better chance of glimpsing them from what's known as a dark sky area. These are areas with minimal light pollution, which obscures light particles from stars, mean far more is visible. The UK has several designated 'dark sky' areas, although any remote location far away from cities and towns would still be better. While the shower has been seen over London, this was through multiple exposures from advanced camera lenses rather than the naked eye. View pictures in App save up to 80% data. On a clear night, April 22, 2020, the London Millennium Footbridge sparkles under a canopy of stars. Official dark sky areas include Moore's Reserve in the South Downs, West Penwith in Cornwall, Cranborne Chase in Dorset, Exmoor National Park, the Yorkshire Dales and North York Moors, Northumberland and Tomintoul and Glenlivet in the Cairngorms. Eryri National Park (Snowdonia) and Gower National Landscape in Wales are also dark sky areas. It is advisable to allow your eyes approximately 15 minutes to adapt to the lighting conditions before spotting the meteor showers, which will be visible about two-thirds of the way up from the horizon, where the atmosphere is less dense. The origin point for the Quadrantids is located in the now-defunct constellation of Quadrans Muralis, which is the source of its name, and it is situated near the Plough, also known as the Big Dipper, in the sky. View pictures in App save up to 80% data. The map highlights regions in the UK that experience the highest and lowest levels of light pollution, which significantly impacts stargazing opportunities. The Royal Museum of Greenwich stated: "The Quadrantid meteor shower is one of the most powerful and reliable meteor showers annually, reaching a peak rate of 120 meteors per hour during clear nights. These meteors are fragments of debris that enter Earth's atmosphere at velocities reaching 70 kilometers per second, disintegrating and producing the luminous trails we refer to as meteors." "The Quadrantids are recognized for their brief but intense peak that occurs over a span of just a few hours. These meteors seem to originate from the constellation Boötes, close to the Big Dipper. In 2004, astronomer Peter Jenniskens proposed that the source of the Quadrantids might be the minor planet designated as 2003 EH1."

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