Kashmir is not the problem of just the Kashmiris; it is the problem of Republic of India. It’s paramount to fix ambiguity about our sovereignty at the earliest. -Sg
Meet Priyamvada Natarajan!
(The Indian woman leading the world in Astrophysics)
Working on some of the biggest mysteries of the universe: dark matter, black holes and the origins of cosmic structures.
> Born in Coimbatore and raised in New Delhi
> As a teenager, she mapped Delhi’s night sky using a Commodore 64 computer
> Studied Physics and Mathematics at MIT
> Initially pursued the history and philosophy of science before shifting to astrophysics
> Earned her PhD in Astrophysics from the University of Cambridge under Sir Martin Rees
> Became the first woman astrophysicist elected Fellow at Trinity College, Cambridge
> Joined Yale University in 2000 and later became Professor of Astronomy and Physics
> Currently serves as Chair of Astronomy at Yale University
> Named in TIME’s 100 Most Influential People list in 2024
Her research focuses on gravitational lensing, dark matter mapping and the formation of supermassive black holes.
> She is best known for developing methods to map invisible dark matter in galaxy clusters
> And for proposing influential theories explaining how giant black holes formed in the early universe.
In 2023, observations from the James Webb Space Telescope and Chandra X-ray Observatory provided evidence supporting one of her long-standing black hole formation models.
From mapping stars as a teenager in Delhi to becoming one of the world’s leading astrophysicists at Yale, Priyamvada Natarajan’s journey is a reminder that curiosity can take you to the edge of the universe itself.
Two math olympiad champions wrote a training manual in 1993 on two old Macintosh computers, and every American kid who has won a major math competition in the last decade learned to think from it.
Their names are Sandor Lehoczky and Richard Rusczyk. The book is called The Art of Problem Solving. Most people in math know it as AoPS.
Since 2015, every single member of the US International Math Olympiad team has been an AoPS student. Not most of them. Every one.
That statistic sounds impossible until you understand what the book actually does.
Lehoczky and Rusczyk were not professors. They were competitors. Lehoczky earned the sole perfect AIME score in 1990 and led the national first place team. Rusczyk was a USA Mathematical Olympiad winner and a perfect AIME scorer in 1989. They had both survived the same brutal selection process the book was designed to train students for.
And the first thing they decided was that almost every existing math textbook was teaching the wrong thing.
School math gives you formulas. You memorize them. You apply them. You pass the test. Then you sit down in front of a real competition problem and the formula does not apply, and you have nothing underneath it.
That is the gap. The gap is not knowledge. It is thinking.
The entire premise of AoPS is that problem-solving is a transferable skill, not a bag of memorized tricks. A student who genuinely understands why a technique works can adapt it, combine it with something else, and deploy it in a context they have never seen before. A student who only memorized the technique freezes the moment the problem looks different.
The book teaches the difference between a formula and a method.
A formula tells you what to compute. A method tells you how to see. The students who win olympiads are not the ones who know more formulas. They are the ones who have trained themselves to look at an unfamiliar problem and recognize its structure. To see that this problem is secretly asking the same question as a problem they solved three weeks ago, just dressed differently.
Rusczyk calls this "learning to read the problem." Not reading the words. Reading what the problem is actually asking underneath the words.
The second thing they built into the book is tolerance for being stuck.
Most students treat confusion as a signal to stop. The book treats confusion as the starting point. Every chapter pushes students past the point where the obvious approach runs out. That moment of running out is not failure. That is where the actual thinking begins.
Lehoczky once described it this way. If you can solve a problem quickly, you are not learning. You are performing. Learning only happens when you are past the edge of what you already know.
The book was written on old Macintosh computers in 1993. Rusczyk launched the AoPS website in 2003. Today the community has over one million users. Thousands of students enroll in AoPS online courses every year. Most winners of every major American math competition are AoPS alumni.
A platform built by two kids who were good at math competitions has become the infrastructure that produces the next generation of mathematicians, engineers, and scientists who are good at thinking.
The formulas you memorized in school will eventually be obsolete.
The thinking you trained will not.
What is one problem in your life right now that you have been avoiding because you do not yet know the right formula to solve it?
Shahnawaz topped BTech from VNIT. Comes from a wealthy middle class family. Father is an academic. Shahnawaz converted his wife Basanti, now Khadija, and started working for ISIS. Nabbed yesterday, he was about to plant high-intensity explosives at Ayodhya.
You can't stop this.
🚨 Hindu Deities Thrown away by a Christian inmate in a Hospital Hostel in Nerul, Navi Mumbai!
A nurse residing at a hospital hostel in Nerul has complained that her roommate repeatedly objected to the presence of idols of Shri Ganesh, Shri Krishna, and Shri Vitthal in their room and eventually threw them away near a shoe rack while she was away on duty.
A complaint copy regarding this matter has been received by 'Sanatan Prabhat'.
Such incidents highlights the extreme nature of Hindu-hatred harbored by Christians who otherwise sing praises of secularism (Sarva Dharma Sambhava - equal respect for all religions).
From this, Hindus must realise how much hatred Christian institutions, churches, pastors, and missionaries might be spreading against Hindu deities.
In a Hindu-majority India, with pro-Hindutva governments in power, it is infuriating that Hindus face such hateful treatment from other religionists!
@sakal_hindu_
In 2016, a boy named Vivek, studying in Class 3, went missing while going to school
His family searched for him everywhere, went to police again and again, but there was no trace of him
Years passed. The family lost all hope
Then, one day in October 2023, the family received a phone call from a police station 500 kilometres away saying they had found the child enrolled in a madrassa
Vivek was now Mohammed Umar
He finally reunited with his family, was renamed Vivek and has since been leading a Hindu way of life
A case of kidnapping and forced conversion against madrassa managers is going on at Muzaffarnagar district court
@swati_gs, founder of @rashtrajyoti, met Vivek, found all that unfolded in his life and counselled him
@sewanyaya is financially supporting his desire to resume school, which he quit long ago
Read: https://t.co/GKxMM3qzHz
Massive Land Scam in Somanahalli, Bengaluru South!
7000+ Hindus, just ONE Muslim family — yet 6 acres worth ₹30 Crore grabbed using fake documents for a Muslim graveyard, and an ancient Hanuman temple structure removed. ⚠️
Meanwhile, 7000 Hindus got only 2 acres for graveyard.
In 1979, the mullahs tortured the Shah's favourite horse to death.
The horse, Azar, was paraded in the streets. They broke his legs, cut his tongue out, and then shot him in the head in front of a large crowd.
Iran is occupied by demons from hell.
There is a court order. And this TVK minister indirectly indicates he won't implement the court order in Thiruparankundram.
I suspected TVK is not a Dravidian party but will emerge as a harder version of one when trampling upon the Hindu religious rights. Sadly I am proven right
UP- गोंडा में अर्पित (7 साल) अपनी मां के साथ लुधियाना से आया था. बस अड्डे पर मां की तबियत बिगड़ी. अस्पताल में भर्ती कराया. 4 दिन इलाज के बाद मां की मौत हो गयी. रिश्तेदारों को फोन लगाया, कोई भी आने को तैयार नही. आंसुओं से डबडबाई आंखों से अर्पित अपनों का इंतजार करता रहा लेकिन कोई नही आया.
मेडीकल कालेज के अनुरोध पर एक संगठन ने अर्पित की मां का अंतिम संस्कार कराया.
अर्पित के पिता से मां का अलगाव 2 साल पहले हो गया था. दूसरी शादी की लेकिन आखिर वक्त वह भी धोखा दे गया. यह दुनियां फरेबों से भरी पड़ी है.
Muslims chopped off the fingers of Mani Karmakar, a former chairman of the Women's Commission in Bangladesh, just because she was a proud Hindu. This is what happens when you are a minority in an Islamic country.
They broke his bones, gouged his eyes out, cut out his tongue and castrated him. He died of a heart attack after being set on fire and dragged himself 50 meters across the floor.