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Some thoughts on the Navier-Stokes news from a professor of aerospace engineering:
1) take a deep breath
2) posts indicating we "solved Navier-Stokes" are incorrect and overblown. A very specific mathematical proof involving a niche scenario for Navier-Stokes has *potentially* been shown (that a perfectly smooth incompressible initial condition with finite energy could produce a singularity--note the assumptions here piled on to an equation set that already involves some assumptions).
3) there is no general closed form solution for N-S and that's not what this news is about
4) this is more of a mathematical curiosity than anything else and could matter a lot to mathematicians but basically changes nothing in the way N-S are used in practice
5) there are already very useful exact solutions to Navier-Stokes that greatly simplify the equation set with the right boundary conditions/geometry like laminar flow through a pipe or a 2D Taylor-Green vortex
6) in aerospace, we already treat N-S as an approximation in many instances and are well aware of its limitations. we don't outright solve these equations anyway and regularly chop off terms or simplify parts (at the expense of accuracy) to make them easier to deal with.
7) to be honest I have never found this specific problem to be particularly interesting because we know a core assumption of N-S is a "continuum" fluid where you ignore molecules and assume hydrodynamic scales >>> molecular scales. We know a real fluid cannot have infinite velocity or energy. But clearly you can push equations outside of their bound of validity and make them produce funky results and singularities.
We’re sharing a solution to the Navier-Stokes Millennium Prize Problem, one of the deepest problems at the frontier of mathematics.
The proof was produced by a group of agents, using an OpenAI next-generation model significantly more capable than GPT-6 Astra.
The problem concerns whether the description of smooth three-dimensional fluid motion modeled by the Navier-Stokes equations can break down. It has remained unresolved for roughly 90 years.
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At least not in India, @elonmusk. And no, am not talking about some cliché euphemism like indenture labor replacing slavery, no. Am talking real-deal master-owns-you slavery.
There’s literally newspaper ads in American archives where owners have announced bounties for catching runaway East Indian slaves in Virginia as far back as 1600s. The East India Company transported them from the port in Bombay.
Am sure the British ended slavery in Britain but the rest of their colonial possession did not get to enjoy the fruits of this “generosity.”
schandillia.com/p/indias-try…
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This news never made it in India. India's ISRO developed (partly) and launched NASA-ISRO NISAR satellite found something very interesting in Antarctica 6 days ago.
I'm not getting into the details of what was discovered. The point of this post is something more important:
@isro has 8M followers. It's account is dormant since July 18th. Isn't this a huge waste of information space?
> If we are so poor in our own narrative,
> If even orgs like ISRO can't run an active social media (which many youngsters will do for free if given an internship),
> If GoI isn't pushing India's achievements to reach the Gen-Z continuously,
> If Indian media only cover the issues in India, not elsewhere, and not the good stuff happening,
Then this information and communication gap is captured by adversaries and hostile actors, using our issues like they don't happen elsewhere, to program our own young against the govt, our institutions like ISRO, and our entire country.
Because these young people do not have a past barometer to judge events. They have never seen or experienced India's past. They do not have much understanding of the world.
They simply believe India is the worst place if told like that pointing to issues that happen, easily believe everything bad only happens in India, and whatever bad happens is only because of the Govt.
This is why they are being used for regime change by the DS world over nowadays easily manipulating them using Meta platforms, Reddit, and Telegram.
And a country like India is letting them get used by creating an information and communication vacuum which can be filled by adversaries.
What I am saying is whatever communication from top levels, information on reforms, and narrative about a minister's achievements that came now, after things got bad, could have come before and on a continuous basis.
Not sure what it was but it was a terrible situation with some strange particulate matter in the air at the Indiranagar metro station entry gates and escalator making literally everybody sneezing and coughing. @WF_Watcher @OfficialBMRCL
It's a shame that after decades of existence and supposed patchwork improvements, IRCTC still can't handle the Tatkal booking traffic. Incredibly loser system. If there's a huge demand either meet it with more trains or increase cost. Insanely frustrating.
@IRCTCofficial
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Dear @ProudofusUK , sounds amazing despite being utter bunkum. Once upon a time, at least as far back as 4th century BCE, the global meridian was in India at Ujjain, which lies on the Tropic of Cancer. Whiteness needed for it to be relocated to Greenwich and the greatest of all thefts, the theft of all meridians, the Meridian of Time and Distance was completed, the base of all ancient references was itself stolen. What was until then clearly the West, now became the zero point, the point from which everything is measured, physically intellectually and emotionally.. if I may pop your bubble ..
satishksharma.com/from-ujjai……
🇬🇧 Every clock on Earth is set to one place.
Every time zone starts there. Every GPS satellite is guided by it. Every flight, every trade, every second measured anywhere on the planet traces back to one place.
A small building on a hill in south-east London.
In 1675, ships were vanishing. Not from storms. From not knowing where they were.
You could read the stars and find how far north you'd gone.
But east or west?
Nobody had solved it. Thousands of sailors died because nobody on Earth could answer one question.
Where are you?
Britain built an observatory at Greenwich to find out. And a self-taught carpenter from Yorkshire named John Harrison spent his life solving it.
He built a time piece so precise it kept perfect time across months at sea. For the first time in history, a captain could know exactly where his ship was.
British ships carried the answer to every ocean on Earth.
By 1884, seventy-two percent of the world's shipping already used Greenwich as their reference point. The world hadn't been asked to choose Britain. It just did.
Twenty-five nations came together in Washington and voted to make it official. The world would set its clocks to a building in London.
France abstained.
Then quietly adopted it anyway.
Today, every second on Earth is still measured from that building. Every time zone. Every satellite. Every phone in your pocket syncs to a line drawn through a hilltop in south-east England.
Britain didn't just keep time.
She gave it to the world.
Be Proud Of Us. 🇬🇧
Be Part of us 👇
Sources, support and more at proudofus.co.uk 🙏
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SpaceX has developed a novel Space Situational Awareness (SSA) system, called Stargaze → starlink.com/stargaze
To maximize safety for all satellites in space, @SpaceX will be making Stargaze conjunction data available to all operators, free of charge. By providing this ephemeris sharing and conjunction screening service free of charge, we hope to motivate operators to take similar steps towards ephemeris sharing and safe flight.
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Tag @dpradhanbjp
@EduMinOfIndia
There is a bill - Compulsory training in CPR in schools Bill 2019.
If this bill is implemented successfully, and we also add First Aid for choking, seizures etc to this, we will be training generations forever, and build a culture of safety across India! Six out of ten deaths can be prevented by giving the right First Aid at the right time!
2. CPR can improve survival rates by three to four times, minimise lives lost, stop families from getting devastated, decreases economic burden(every rupee invested in CPR training can save upto 30 rupees in potential medical expenses!).
3. We need to focus on average Ambulance response time, better equipment of the ambulances with AEDs and personnel trained in BLS.
I have been training teachers, parents, students, Asha workers, police, corporate employees, house keeping staff, hospital staff in First Aid and CPR for years now (more than 20000 people independently and voluntarily). I have motivated paediatricians across the country to do the same and have sent manikins to them(donated by parents for the cause).
ISCCMnational is taking this initiative forward in schools.
I came across this great work done by Deputy Commissioner Faiz Aq Ahmed Mumtaz - one lakh common people were trained in two months in CPR, in Ramgarh, Jharkhand!
There must be some more doctors, organizations, and administrative officials focussing on this.
If the Govt. can get us all on to a single platform and implement the 2019 bill(and add First Aid for Choking and Seizures to it), it will be a great and economically viable investment for the safety of the people of India!
Those of you who agree with me, please sign the petition.
#cpr #schools #firstaid #COLS #BLS
Best feature and the rollout in r cent times. This definitely weeds out the negativity.
In a couple hours, we'll be rolling out About This Account globally, allowing you to see the country or region where an account is based. This will be accessible by tapping the signup date on profiles.
This is an important first step to securing the integrity of the global town square. We plan to provide many more ways for users to verify the authenticity of the content they see on X.
And for those in countries where speech has penalties, we've included privacy toggles to only show your region.
This was a huge undertaking. A special thanks to the engineers who made this happen: @sandeep_rao @singhai @mingsong @striedinger @rzhao0506
Hi @MulaMutha, do you know who controlled Vijaydurg around 1865-1870? Was it under the British/Portuguese? Any references to find out?
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ISRO is and has been doing some fantastic work in Space for India.
Remote-sensing satellites ,
Deep space telescopes on ground ,
Deep space telescopes - as a satellite in space ,
Aditya , Mangalyaan , Chandrayaan ,
Launch vehicles
Engines- Solid , Liquid , SC , Cryo
Semi conductors
Payloads
Sensors,
Treasure of petabytes of data
Inertial systems
Control systems
and so many more can actually bring any STEM student 100 years of motivation
But as long as all the progress is inside the buildings , no one will know and probably wont help budding scientists.
We need everything to be out , encouraging people to take up science as a career. We need extra-ordinary outreach from all R&D Organisations of India.
Today EOD, if a parent wants to keep their child interested in science, they have to open a white-man's page or a white-man's documentary.
Why? ISRO , please #ISROfixYourPR
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In 2001, the University Grants Commission of India decided to introduce astrology as a science course in India. Back then, Indian scientists still used to protest this sort of thing and JV
Narlikar was one of most vocal.
Perhaps this event motivated JVN and his friends to run a double blind study on astrology some years later. Their methodology was simple. They considered two groups of children—one group was children with severe intellectual disabilities, the other was a typically developing group. Could astrologers tell which is which from their horoscopes?
Many prominent astrologers backed off from taking the study but 27 took it up. It didn’t take a horoscope to predict the result of this study—not a single one beat the null hypothesis (link to the paper 👇). Astrology busted (again).
Narlikar, Dabholkar and the likes were old school scholars who dedicated their time to championing rationalism and scientific temper in the country, even in the face of hostility, instead of chasing personal wealth and status. They don’t make them like that anymore.
I love quirky email signatures. My current one is a quote by science writer Larry Niven "Dinosaurs went extinct because they didn't have a space program!"
As it's my last day in the company I just changed it to "Like entropy, I'm only moving in one direction - Out" LOL
