The trio is shining 500 light-years away from Earth. Breakthroughs, discoveries, and DIY tips sent six days a week. NASA's Hubble Space Telescope has captured a trio of young stars in the process of becoming their best selves in the constellation Scorpius. Posted to the agency's site on January 16 as part of its Hubble Stellar Construction Zones series, the three T Tauri stars--seen at the bottom right, upper center, and left along with many other stellar objects in the background--are forming inside the hazy Lupus 3 cloud about 500 light-years from Earth. While the image appears somewhat serene, the interior forces at play are anything but tranquil.

The cosmic oddball that's 67 million light-years away has a puzzling shape. Breakthroughs, discoveries, and DIY tips sent every weekday. What does it look like in your mind? Chances are, it's a swirling circle of galactic energy . A galaxy is often described as one of a few broadly defined shapes--elliptical, spiral, or lenticular--as described by the Hubble sequence .

Large Language Models (LLMs) are prone to critical failure modes, including \textit{intrinsic faithfulness hallucinations} (also known as confabulations), where a response deviates semantically from the provided context. Frameworks designed to detect this, such as Semantic Divergence Metrics (SDM), rely on identifying latent topics shared between prompts and responses, typically by applying geometric clustering to their sentence embeddings. This creates a disconnect, as the topics are optimized for spatial proximity, not for the downstream information-theoretic analysis. In this paper, we bridge this gap by developing a principled topic identification method grounded in the Deterministic Information Bottleneck (DIB) for geometric clustering. Our key contribution is to transform the DIB method into a practical algorithm for high-dimensional data by substituting its intractable KL divergence term with a computationally efficient upper bound. The resulting method, which we dub UDIB, can be interpreted as an entropy-regularized and robustified version of K-means that inherently favors a parsimonious number of informative clusters. By applying UDIB to the joint clustering of LLM prompt and response embeddings, we generate a shared topic representation that is not merely spatially coherent but is fundamentally structured to be maximally informative about the prompt-response relationship. This provides a superior foundation for the SDM framework and offers a novel, more sensitive tool for detecting confabulations.

Notes for ChatGPT by Zoho: Say hello to Zoho Notebook extension for ChatGPT! Without switching tabs, you can use this amazing tool to save all of your ChatGPT conversations as notes in the Notebook app. To use it, all you need to do is just ask all of your questions in ChatGPT and save the entire conversation or each individual chat as a note in Notebook. YouTube Summarizer with ChatGPT: This free Chrome extension lets you quickly access the summary of the YouTube videos you are currently watching with OpenAI's ChatGPT AI technology. All you can do with this tool is get transcripts in many languages, summarize the video with ChatGPT, scroll into the currently playing timestamp, and copy-n-paste all the transcripts.

In recent announcement by NASA, the James Webb Space Telescope (JWST) science team released five spectacular images in its first science package. Astronomers, researchers and scientists smarter and more educated than me have spent a lot of time providing their thoughts on what we can see in each of these images. But let's take a moment to look at what NASA released and understand why NASA chose this set of images for the first science release. Image 1 – The spikes seen above are not artistic, but rather an artifact of the actual telescope. One of the unique characteristics that will grace nearly every image taken from the JWST will be the iconic "diffraction spikes" that appear around stars in an image.

An unprecedented number of first-time investigators have secured viewing time on NASA's Hubble Space Telescope in the years since the agency overhauled the application process to reduce systemic biases. In 2018, NASA changed the way it evaluates requests for observing time on Hubble by introducing a'double-blind' system, in which neither the applicants nor the reviewers assessing their proposals know each other's identities. All the agency's other telescopes followed suit the next year. The move was intended to cut discrimination on the basis of gender and other factors, including bias against scientists who are at small research institutions, or who haven't received NASA grants before. Data from the Space Telescope Science Institute (STScI) in Baltimore, Maryland, which manages Hubble, show that since the change was introduced, more first-time principal investigators have been securing viewing time on Hubble. How do mathematicians come up with new theories?

NASA has announced that it will attempt a'risky' manoeuvre to fix its 31-year-old Hubble space telescope later today. Hubble accidentally went offline due to a mysterious glitch on June 13 that took down one of its main computers. But NASA says it's located the source of the problem – a faulty power regulator in the computer's Power Control Unit (PCU). It will attempt a switch to a backup PCU staring Thursday (July 15), which, if successful, will bring Hubble back to normal science operations in'several days'. Hubble, a joint project of NASA, the European Space Agency (ESA) and the Canadian Space Agency (CSA), has been observing the universe for over three decades.

The Hubble telescope may be'beyond repair' and this'could be the end of its story', experts have said, although NASA insists it still has multiple options to try and fix it almost three weeks after it went offline. The US space agency has dismissed fears the ageing observatory will never work again after a computer glitch caused it to shut down on June 13. Hubble, a joint project of NASA, the European Space Agency (ESA) and the Canadian Space Agency (CSA), has been observing the Universe for more than 30 years. Engineers have tried a range of measures to get it up and running again, including switching to a backup memory module, restarting the machine and turning on a backup version of the payload computer - but none of them solved the issue. They found that the fault was in the Science Instrument Command and Data Handling (SI C&DH) unit, where the payload computer sits, and so are designing a way to safely switch to a backup unit, which is a'very risky process,' said NASA. The ongoing issues have caused experts to speculate about the telescope's future, with former NASA space shuttle pilot Clayton C Anderson saying he believes Hubble is'beyond repair'. FermiLab director and leading physicist Don Lincoln also said this'could be the end of Hubble's story', but told CNN he couldn't discount the ingenuity of NASA engineers.

A beautiful image of Jupiter taken by the NASA Hubble telescope has captured the formation of an almighty storm in the planet's northern hemisphere. NASA says the storm is a'bright, white, stretched-out storm moving at 560 kilometres per hour' at mid-northern latitudes. Storms in this region are very common but this one appears different, as it has more structure and could be forming into a permanent feature. 'Researchers speculate this may be the beginning of a longer-lasting northern hemisphere spot, perhaps to rival the legendary Great Red Spot that dominates the southern hemisphere,' NASA says in a statement. Image of Jupiter taken by Hubble has captured the formation of an almighty storm in the planet's northern hemisphere.

All of these plans include SmartZone motion detection, a feature that lets you set a custom area within each camera's field of view for motion-triggered video capture and notifications. A free trial is included with the camera, so you can try these features out and decide if you want to invest in them for the long term. The Lux65 is a great way to keep an eye on your baby or small child, but $184 for what is basically a conventional video baby monitor without a Hubble Connected subscription is a little steep. Considering you need one of those subscriptions to unlock all the Lux65 has to offer, you're looking at an initial outlay of more than $200, plus the recurring annual subscription cost. If that's beyond your budget, something like the VTech VM3251 Expandable Digital Video Baby Monitor will give you most of the same basic features without the Wi-Fi capability for less than $100.