Can you suggest a geometric way of looking at the Transpose or Conjugate Transpose of a Matrix? Below, I am putting together a thread with responses of @3blue1brown to my question.
While it’s important to support our students and ask for educational reforms that positively impact the future of our youth, it’s also very important that peaceful protests by students are Not hijacked by anti national elements to create chaos & change the nature of the protest.
Seeing so much hate & divide online makes me wonder if bad elements in & outside our country have already started to work overtime to weaponise the anger & frustration felt by our students.
I have always believed in hard work, equality and excellence & that should never be compromised. I also believe in our democracy, law and order & our government, therefore I sincerely hope that both sides enter into meaningful & constructive dialogue & weed out any nefarious elements & agendas out of this protest & conversation , so the future is bright for our youth and for our democracy ! 🇮🇳 Jai Hind !
35 Chinna Katha Kaadu seems to have been missed. It won 2 National Awards, including Best Children’s Film—only the second Telugu film ever to achieve that. Telugu cinema’s tally should therefore be 9 awards.
#35chinnakathakaadu
India reaching for the stars and delivering…. ♥️♥️♥️ So so proud of our young team at Skyroot Aerospace from Hyderabad… 👏🏻👏🏻👏🏻 #Vikram1 reaching orbit on its very first mission is a testament to the brilliance and perseverance of our private space sector…!! Congratulations to @SkyrootA and every single person who poured their heart into this achievement…. 🇮🇳🇮🇳🇮🇳
Amazing achievement by @SkyrootA and their team. Proud moment for not just them but all Indians. Feedback: Skyroot, next time please get a live feed, overlay launch parameters and better commentary. Make the launch look as cool and slick as it really is.
My husband quit his job and stayed home for 3 months. It wasn't like he was lounging around doing nothing—he was cooking, cleaning, and taking our daughter to daycare. My mom calls every week: "When's he going to get a job?" And his mom says: "Men have to work." And my friend says: "Aren't you worried he'll get used to sitting around?"
And I'm silent.
Because during these three months, our daughter said "dada" for the first time before she ever said "cartoon." And for the first time in 7 years, he slept without sleeping pills.
Everyone around me sees a man without a job. And I see a family, for the first time, sitting together and truly living..
Arjuna is the greatest representation of Dharma during Kurukshetra war. One cannot simply portray him as inferior against an evil character like Karna who stood in the side of Adharma
You did a grave mistake, and yet you're defending yourself. Respect lost @nagashwin7
Any day - Arjuna >> Karna
Karna was a warrior, sure… but the “greatest”? Nah.
He couldn’t even handle Arjuna’s teenage son Abhimanyu in battle.
He was the first major warrior to flee the battlefield.
Lost multiple battles while Arjuna remained undefeated throughout the war.
Shehzad Poonawalla dismantles E20 fear-mongering with hard facts. He challenges and debunks Anand Ranganathan's claims point by point
📉 The Myths: ARAI data shows NO engine damage. The "high water usage" claim relies on flawed "virtual water" logic.
📈 The Facts: E20 brings cleaner combustion, 40-50% lower CO emissions, and cooler running engines.
💰 The Impact: Saves India ₹1.9 lakh crore in Forex while directing ₹1.6 lakh crore straight to our farmers!
A masterful takedown using scientific methodology and economic facts over narrative.⛽
Dear Dr. Tharoor, a few points here.
First, Article 81 envisages that seats in the Lok Sabha be allocated on the basis of population. The constitutional freeze linked to the 1971 Census was always temporary and was due to expire in 2026. In the absence of any intervention, a fresh delimitation based on 2026 Census will see several southern states facing a sizable reduction in their share. Due to your opposition to the bill, the Congress party is squarely responsible for this.
Second, India in 2026 is not India in 1971. Our population has grown from about 55 crore to nearly 146 crore. While Lok Sabha membership has remained virtually unchanged, the average MP today represents nearly 2.5 times as many citizens as an MP did when the freeze was imposed. Expanding the House is therefore a democratic necessity, not a political choice.
Third, if seats are increased to better reflect today’s population realities, retaining each state’s proportional share is a reasonable and balanced approach. It protects states that successfully implemented population stabilisation while simultaneously improving representation for all Indians.
More fundamentally, it is worth remembering that no state has a constitutional right to greater representation per voter than another. The Constitution’s objective is precisely the opposite: that every citizen’s vote should carry, as nearly as practicable, equal weight. The continuation of the present proportional balance is not a constitutional entitlement; it is NDA’s way of ensuring that states that acted responsibly are not disadvantaged.
As for your thought experiment, parliamentary influence ultimately flows from votes on the floor of the House. Whether a simple majority or a two-thirds majority is required, a proportionate increase for all states leaves those equations unchanged. If everyone receives the same proportional increase, nobody gains an advantage over anyone else!
@ShashiTharoor
Applications invited for the Prime Minister Research Chair (PMRC) Scheme 2026!
A unique opportunity for distinguished researchers, scientists, and professionals of Indian origin worldwide to contribute to India's research and innovation ecosystem.
📅 Last Date: 15 July 2026
🌐 https://t.co/I18rANf0Rn
#PMRC #Research #Innovation #HigherEducation #India #Science #Technology #ProfGRSinha
"IF I WERE BJP I WOULD'VE DONE EVERYTHING TO RETAIN ANNAMALAI"
Pawan Kalyan, Jan Sena founder, Dy CM of AP and staunch NDA ally on the BJP'S split with Annamalai and reason for BJP's disconnect in TN.
"If I were the BJP, I would have done everything possible to retain Annamalai in a leadership role.
Most of the BJP's top leaders come from northern states. To grow in the South, the BJP needs more native leaders, and Annamalai was one such leader who helped fill that gap."
Watch the interview tonight @ 20:55 on CNN NEWS18
Lodha Foundation has launched the Lodha Theoretical Physics Institute (LTPI) in Mumbai, establishing India's first fully privately funded Theoretical Physics Research Institute.
Directed by Wolf Prize recipient Prof. Jainendra K. Jain, the institute is designed to drive long-term fundamental research and international scientific collaboration.
Moving immediately into operations, LTPI is hosting the 3-day 10th international meeting on Emergent Phenomena in Quantum Hall Systems (EPQHS-10). This inaugural workshop gathers global experts to chart future directions in physics and features a public lecture by Nobel laureate Klaus Von Klitzing. @Jain_Physics
#WATCH | Mumbai, Maharashtra: At an event hosted on 'Quantum Research', German Physicist and Nobel Laureate, Klaus von Klitzing says, "... I am fascinated to see that a basic research laboratory, privately funded, will be created here in India, like a Max Planck Institute. I am coming from Germany, and we have the Max Planck Society, which is free to do basic science, to generate new knowledge, and to have a higher understanding of our world. If you look in Germany, nearly all Nobel Prize winners work in the Max Planck Society, and the result of basic research is visible only after a certain time. Today in our hectic world, everyone is looking for results in the next year or the next three years; only a few people have the long‑term vision. I’m happy that the Lodha* Foundation has this vision to support basic science..." (26.5)