Matt Parker is really good.
Listen to his podcasts as well!

Oh I am patreon supporter of him as well XD

Software Developer

Software Engineer

I guess I can go till 3.141592653589793238462, all thanks to google 😂

I'll just write Math.PI and be done with it.

Product Manager

Happy pi day to all the math nerds out there!  I would recommend watching the latest video of Matt Parker on the youtube channel Standup Maths where 100s of people try to beat a pi calculation worl...

Happy pi day to all the math nerds out there!

I would recommend watching the latest video of Matt Parker on the youtube channel Stand-up Maths where 100s of people try to beat a pi calculation world record!

Happy pi day

Happy pi day- Grapevine

TLDR:
I was reading up on the Navier Stokes equations today and it is so elegant that it might be my favourite math equation. 

Equation 1: ∇u = 0 (conservation of mass) states that the divergence of the velocity vector u is zero, meaning there is no net change in fluid mass.

Equation 2: ρ Du/Dt = -∇p + μ∇^2 u + ρF (conservation of momentum) expresses Newton's second law for fluid flow. It balances the acceleration of fluid particles (LHS) with internal forces (pressure and viscosity) and external forces (gravity or other external influences) on the RHS. 

This equation is foundational for modelling various fluid dynamics scenarios, from celestial bodies like stars and galaxies to F1 cars.

Long Version:
Here's how it works:

Equation 1:

∇u = 0 (conservation of mass)

So, u is velocity that can be represented as (u,v,w) vector, where u,v,w are x,y,z components of the vector.

∇u tells us that we need to do a partial derivative on u.

So,
∇u = ∂u/∂x + ∂v/∂y + ∂w/∂z = 0

or, the partial derivative of every component wrt corresponding direction is 0.


Equation 2:

ρ Du/Dt = -∇p + μ∇^2 u + ρ F (conservation of momentum)

LHS:
Since, u is velocity, then Du/Dt is acceleration and ρ is density. Newton's second law, F = m x a, applies here. Wherein, Du/Dt is acceleration of fluid particles and m is the density of the fluid.

RHS:
-∇p + μ∇^2 are the internal forces of particles hitting into each other while  F represents the external force.

F in most cases is gravity, so one can replace it with g. However, if you put in electromagnetism then, you can combine Navier-Stokes with Maxwell's equations. 

This has over time led to the development of magnetohydrodynamics, ie how stars and galaxies form. You can model the growth of our sun with this.

∇p is our pressure gradient and represents the change in pressure. Essentially, fluids move from high pressure to low pressure.

μ∇^2 represents viscous forces yielding from viscosity.

Imagine this can model aerodynamics of F1 cars.

[Thread] What is your favourite math equation?

Consultant

Welcome to Software Engineers's Private Community

They were the ones that did math for FUN

Valentine Mathematics

Growth Manager

Welcome to Office Gossip's Private Community

Let me spill the tea on what's buzzing over at Grapevine in last 24 hours. You're in for a treat with these top posts, so let's dive in ASAP:

1. ServiceNow Interview Disaster - https://share.gvine.app/yPfdLxoKeMojQ6tF6
Honey, let me spill the tea. This candidate's experience with a ServiceNow interview is messier than my auntie's spice drawer. A fresher interviewing a senior? That's like a toddler teaching a chef how to cook biryani. ServiceNow, sweetie, it's time to get your act together before you become the joke of the IT industry.

2. Poker Math for the Geeks - https://share.gvine.app/puCYn1PLfHPspDKh9
Oh, lordy, poker and math combined? This is giving very much "I peaked in high school math club" vibes. I mean, if you enjoy calculating more than actually playing the game, maybe it's time to reconsider your hobbies. But who am I to judge? Maybe that's your idea of a wild Friday night.

3. A Call for Startup Ideas - https://share.gvine.app/vckFRV2ukci1RNtq7
Babe, resigning without a plan is like going to a wedding and hoping you'll catch the bouquet – optimistic but unrealistic. But I admire the hustle; shooting your shot on Grapevine for startup ideas is like Tinder for entrepreneurs. Just don't be surprised if you end up with a partner who thinks reinventing the chai is revolutionary.

4. Delhi Travel Precautions - https://share.gvine.app/MpSzohMM64wn3F1HA
This is giving very much "my mom's WhatsApp forward" energy. But in all fairness, safety in Delhi is like finding a good samosa in Bangalore – nearly impossible. While I appreciate the caution, let's not normalize sending a full dossier every time we step out. Maybe just stick to the basics, or better yet, let's make our cities safer, shall we?

5. Sugarcane Juice > Alcohol Parties - https://share.gvine.app/9mtKHW8kBqt6Mpg5A
Finally, someone said it! Why are we glorifying alcohol when we can party healthily? I'm all for replacing beer with sugarcane juice, but let's not pretend like we'll stick to this plan once "Gallan Goodiyaan" starts playing. Still, cheers to the idea – it's sweet, both literally and figuratively.

6. Rahul Gandhi's Employment Plan - https://share.gvine.app/c5JbZA9j3JFckzAG8
Oh, Rahul, always the dreamer with plans as realistic as my chances of marrying Ranveer Singh. Promising money for watching reels? That's not a job strategy; that's called being a Gen Z with too much time. How about focusing on real employment solutions, or is that too mainstream?

7. Max Salary for 20-Year IT Experience - https://share.gvine.app/7mEb8DnZB3LNYn9N6
Asking for the max salary in IT is like asking how spicy is too spicy – it's subjective, darling. But let's be real, the IT market is more unpredictable than my mood on a diet. So, aim high but maybe don't start planning your mansion just yet.

8. Arrogant IITs Not Getting Jobs - https://share.gvine.app/xBHQYM5AxDxE6JHS
Saying IIT grads are arrogant is like saying water is wet – we've all met that one guy who won't shut up about JEE ranks. But let's not generalize; not all IITians are boastful, and not all non-IITians are humble. It's about skill, not the label on your degree.

9. The Beauty of Tech Projects - https://share.gvine.app/62rBG77cHN9xF1r38
This is the tech equivalent of finding your tribe. Working with a dream team on projects you love is rarer than a peaceful family WhatsApp group. It's beautiful, it's pure, and it's about as common as understanding your privacy settings on the first try.

10. The Indian FAANG Roadmap - https://share.gvine.app/5gBHzBjHrBDGoR7v8
Oh, the classic FAANG cycle – from aspirational YouTuber to disillusioned course creator. It's like the startup version of a Bollywood movie: predictable, dramatic, and with an inevitable downfall. But hey, if you can't join 'em, teach 'em (for a small fee, of course).'

Oh, the drama on Grapevine never fails to entertain.

Whether it’s the hilariously out-of-touch interview processes, the nerdfest of math-heavy poker strategies, or ambitious claims in politics and business, Grapevine serves it up fresh and hot daily. 

It’s the perfect blend of reality check and escapism. Always insightful, often hilarious, and occasionally face-palm worthy – keep the posts coming! 

What’s next, Grapevine? We're all ears!

Daily Masala: Edition #2

Robotics Engineer

Can anyone help in providing any resources and tips in solving maths puzzle. This is where I struggle... I am good everywhere else but i want perfect this part as well... Please help folks!

Maths Puzzles Help!

Just curious to know what are some under rated youtube channels out there with quality and engaging content. It could be related to space, science, CS, or maybe misc (but in terms of productvity/learning). It serves as both, kill the time, and learn few cents, even if we're paying just mere attention while having lunch or maybe in metro etc.

I'm talking about under rated ones, so this does not include Veritasium, Real Engineering, 3Blue1Brown, Computerphile, or Kurzgesagt – In a Nutshell.

For me these list are as follows:
a.  Welch Labs: Covers mostly maths, science and in general AI related learning models.

b.  Think Twice: Maths again, but with better visuals.

c.  Oleksandr Stepanenko: I just love this channel to see crispy robots with sounds of their movements.

d.  BPS.space: I love his RnD about rockets, their soft landing and failures. I never get bored while binging this.

e.  Jamila Musayeva: Etiquettes n stuffs, satan have to learn these things to offend others professionally. *STANDARDS*

f.   Ben Eater: Computer hardware in action, with scratch.

g.  Looking Glass Universe: Quantum mechanic stuffs, in the same line as Veritasium.

Know any hidden gems on Youtube, that educate & entertain?

Security Analyst

Happy Women's Day!

Welcome to Movies & Music's Private Community

Just watched this video on Dostoevsky and now feeling smart. Want to feel more enlightened. Share your best video/channel reccos!

MY NEW BOOK: https://www.amazon.com/dp/B0B6XPPNJYGo to https://www.blinkist.com/pursuitofwonder to receive free unlimited access for 1 week and 25% off a pre...

The Harder You Try, The Worse It Gets - The Philosophy of Fyodor Dostoevsky

What are the most interesting YT videos/channels I should watch?

Ankit's 75 day hard challenge ended today. Anyone here inspired yet? Also, liking this new breed of desi influencers who are strong willed. One other guy Vijay, who makes really funny maths humor..

Ram ram bhyi saryaane

Category Manager

I will continue with this series for people who like this kind of content, drop "+1" in the chat and I will tag you the next time I post content.

Today, I was in the mood to go through some old CS problems I had solved a few years back.

The problem is described in cses.fi [ https://cses.fi/problemset/task/1193 ] and is as follows:

You are given a map of a labyrinth, and your task is to find a path from start to end. You can walk left, right, up and down.

𝗜𝗻𝗽𝘂𝘁𝘀:
You are given n and m: the height and width of the map.
Then there are n lines of m characters describing the labyrinth. Each character is . (floor), # (wall), A (start), or B (end). There is exactly one A and one B in the input.

𝗢𝘂𝘁𝗽𝘂𝘁:
Revert with "YES" if a path is possible.
Revert with "NO" if no path is possible.
If "YES" also mention the path taken to reach B from A as L(left), R (right), U (up), and D (down).

How do you solve a problem like this?

Solution Approach:
You traverse through the input and figure out where A and B lie within the input as (i,j) coordinates.
Then, we do something called flood fill approach, where we start at A and then we update moves with BFS until we reach B. (L/D/R/U)

Now, what we need to check next is whether it violates some assumptions. 
1. Check each adjacent cell and it is not supposed to be a wall(#)
2. Adjacent cell should not be out of bounds, for example cells on the boundary cannot go outside the labyrinth.
3. Lastly we need to track that we have not already visited that cell before. 

If none of these cases are violated then we proceed to move in that direction. Then we apply BFS again and check for violation of these cases. All the while we maintain whether we visited that cell before and the path we have taken from A. 

We stop when we reach B's location. Now what happens if we don't reach B?
Since, we are applying BFS we will end up reaching all cells except B. We would have completed entire traversal of the labyrinth yet no B in sight.

Daily Series #3: Geeking out → The Labyrinth Problem

Taking lead from @salt, extending the applications of Monte-Carlo(MC) to silicon circuits simulations. 

I am trying to pick stuff from BTech, 1st year Basic Electronics which most engineers (irrespective of branch) would have studied (or at least heard in class 🤪). Below we have a picture of a very basic Resistor-Capacitor (RC) circuit connected to a battery (Voltage). For theoretical simplifications, we assumed the resistor to have a single, whole-number value (for example, a 5-ohm resistance). In real when we manufacture such resistance (or capacitors), due to complexities associated with manufacturing processes, exhibit a tolerance range around the base value. The resistor we took might exhibit a value between 4.95 ohm to 5.05 ohm. Such range variations lead to changes in currents flowing through these circuits. 

Now imagine, a simple home device having millions of such resistors. All these devices would exhibit different resistance values (some might show 4.95, others might show 5.025, rest 5.05). All these variations make the life of an electronics designer much more complicated. They use Monte-Carlo simulations to explore the range of output current variations and define downstream parameters accordingly. MC makes life bit deterministic in an otherwise uncertain electronics world! 

I hope, I am able to add some value to “geeking-out” series. Shoot your queries, if any🤓

(Image - spice simulation tutorial from Google)

Happy pi day

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