#IRCTC- Intraday chart, Waiting for a FT of bullish Abc. https://t.co/Ppc5Oiz8yV

RISHI PINGALA:THE ANCIENT INDIAN SAGE DISCREDITED FOR HIS MAJOR CONTRIBUTIONS TO MATHEMATICS & PHI

Have you ever heard about,"The Golden Ratio"?
The Golden Ratio or Phi(Greek) is a mathematical ratio of nature. Mother Nature is the most exquisite artist in herself.

&Its this Phi she uses to create all the beauty in World.
If anyone uses this ratio correctly in their art,it can turn into a spell-binding piece of work.Such is the significance of'Phi'.But my thread isn't about it.Its about somethin called'Fibonacci Series'&who actually made it

Phi is related to Fibonacci series(0,1,1,2,3,5,8,13,21,34...)
&this series is responsible for everything dat is beautiful on this planet. Just try to calculate the ratio of any 2 successive numbers ÷ each of them by the number before it in above infinite series.

E.g. 3/2=1.5, 5/3=1.666, 8/5=1.6, 34/21=1.61904 and so on. Did you notice something? The ratio is coming almost same every time. This ratio is called 'Phi 'which is numerically represented as 1:1.618. This Golden Spiral is made in exact proportion of 1:1.618.

The thing I want to emphasize here is that we always find only those things appealing and attractive that have Phi. It's in our subconscious. Isn't it some revelation? We are the part of this Divine proportion of the God or the Mother Nature. Check these:

RANI NAIKI DEVI AND THE BATTLE OF KASAHRADA

Mohammad Ghori, the young Ghurid Prince conquered Ghaznavids in Afghanistan in the year 1173 CE. He conducted some successful raids into the Indian territory, which even Mahmud Ghazni & the Persians couldn't do.

First&foremost,Ghori invaded states of Multan &Uch in India.After this he turned to southern states of Gujarat &Rajputana.Everybody knows this about Ghori,but what most pple r unaware of is the defeat he suffered at hands of Chalukyan Queen Naiki Devi in 1178 Battle of Kasahrada.

When he marched southwards, his first target was the prosperous fortified town of Anhilwara Patan.
It was the capital of Chalukyas(also known as Solankis of Gujarat) which was established by Vanraj of Chapotkata Dynasty in 8th century.

American historian Tertius Chandler states that it was the 10th largest city in the world at that time. The history of Chalukyas has been written by many historians, but the valour of the Great Queen Naiki Devi remains unsung.

Born to the Kadamba King Paramardin of Goa,Naiki Devi was well trained in sword fighting, horse riding, strategy & every other subject of Statesmanship. She was married to King Ajaypala of Gujarat who sat on throne in 1171CE. Unfortunately,the King died within 4 yrs of his rule.

👇Thread.

Published a new essay: The red flags and magic numbers that investors look for in your startup’s metrics – 80 slide deck included!

This was a deck that I created on my (longish) interview process with @a16z. It was a long path, starting with meeting folks at the firm 10 years ago. But the purpose of the deck was to explain how I would use my superpower in an investing context

Here's what I explain in the deck. As investors (whether angel or VC) we're often confronted with an up-and-to-the-right graph. Is it going to go up? Or down?

One solution to forecast these growth curves is the Growth Accounting Framework, where you add up New+Reactivated and subtract churned users. In each time period that gives you the difference in monthly actives.

The problem with this is that it's a lagging metric, not a leading one. We need to go one level deeper and look at the underlying loops that drive these numbers, to understand the quality.

🎉🎉 PHP 7.3 is here!

Here are the things I'm excited about.

🚂 Trailing commas in function/method calls!

This will certainly be a required styling choice for me. Same delightful benefits of trailing comma in multi-line PHP arrays, and JavaScript objects.

🧵 Less disgusting heredoc syntax!

Inlining heredoc strings in any way right now is grrrosssss. Now we get sensible capabilities. Everything that was wrong with it is now fixed!

(Ignore the bad syntax highlighting)

☠️ Finally, not-so-silent json_decode error detection!

This really sucked before, now it just sucks a bit less (who wants to pass a 4th param and pass 2 default params first? (helper function anybody?)

📜 Not horrible functions for getting the first and last item (or key) from an array!

Before you either strung a bunch of functions together or messed with internal array pointers. This is a much-needed improvement.

Ok, I'll hop on this Elizabeth Warren/Native American testing bandwagon (gently and non-politically).

I've been a @23andMe customer for a while, and have followed their ancestry updates closely.

All is more or less as expected....except for this bit about Native American.

The family is almost completely composed of Spanish peasants (from various regions) who emigrated, along with a massive wave in the late 19th-cent./early 20th-cent., to Cuba back when it was a booming economy (richer than Spain's) and worth emigrating to (Communism killed that).

Also, the native population of Cuba was annihilated early on---was the first place the Spanish colonized after all. Having a native background in Cuba would be like having the same in, say, Massachusetts, particularly if you're (say) mostly Irish. Just really, really unlikely.

(Note: the North African/Arab background is less mysterious. The Iberian peninsula was part of the Muslim world for centuries. It would be odd *not* to have some Arab/Middle Eastern background coming from Spain. Given the family is mostly from Northern Spain, it's small though.)

I have a Spanish passport, have been back to the ancestral villages in Spain, seen the church where my grandmother was baptized, my grandfather told me stories about growing up as the child of Spanish colonists in rural Cuba. The native bit just clashes with all the family lore.