Day 4: The Challenge (Citadel Interview Question):
You have 7 orbs labeled 1 to 7 hanging in a vertical stack from the ceiling.
Orb 1 is attached to the ceiling.
Orb 2 hangs from Orb 1, Orb 3 from Orb 2, and so on.
There are 6 links in total: L1 (between 1-2), L2 (between 2-3), ..., L6 (between 6-7).
At each step, one of the currently remaining links is chosen uniformly at random and cut. When a link is cut, all orbs below it fall and shatter.
What is the expected number of cuts until only Orb 1 remains?
If this clicked instantly, you’re interview-ready.
If not, welcome to the harmonic club 🙂
#QuantFinance #Brainteaser #Citadel #Probability #Math #100DaysQuantQuest
Fun Mathematical Fact for Feb 16:
Today is the 47th day of the year.
In mathematics, 47 is a Thabit number (a number of the form 3.2^n - 1.
These numbers were studied by the 9th-century mathematician Thābit ibn Qurra to help find Amicable numbers—pairs of numbers where the sum of the divisors of one equals the other.
#Feb16 #ThabitNumber #DiscreteMath #MathHistory #AmicableNumbers #STEM #PureMathematics
Honoured to address the Hon’ble PM at our Infinity Campus opening. His words fuel our next leap.
India is ready. Let’s go. 🚀🇮🇳
#IndiaToInfinity#OpeningSpaceForAll
Winter Residency Program 2025 🧐
Join us this December for a 7–10 day residency program designed for final-year BTech, MTech, and MS(R) students. The program offers 1-to-1 interactions with faculty and their research groups—a focused opportunity to exchange ideas and explore where your research interests can grow.
Last date to apply: 22nd November.
How to apply: https://t.co/qHSO1OEluC
The joy of seeing citations coming in for first research work! (that too in the first page)
@SatyamModi02 and I had an awesome work last year at BioNLP Workshop, ACL 2024.
Check out our work here
🔗 Paper [https://t.co/tRDXNJD56w]
🎥 Video [https://t.co/23wY9GxECy]
#ACL2024
Today is 2 July 2025!
>Exactly 9,131 days ago, the year 2000 began.
>Exactly 9,131 days from now, the year 2050 will arrive.
It means that this is the EXACT Halfway Point.
And after today, we will be closer to 2050 than 2000.
@advait_vedanta_ To make the comparison fair, you should also point out number of admitted students in each category. Unless the number is known, averaging don't make sense.
In Verden, a small town in northern Germany, you can find this interesting interactive sculpture by Balázs Kicsiny. A hand crank allows you to create intricate water flow patterns inside the structure.
It's called The Vortex Pillar.
Chotu goes to sleep with Z++ security😌😌
Watching the video in loop- the mother & aunties surrounds the calf when it falls asleep.The security is just impregnable. Amazing behaviour of elephant herds. From the forests of Bonai.