Douglas Auclair

Lead Software Architect at

[Fermat's Library @fermatslibrary]

Mars' Olympus Mons, the tallest known volcano in the solar system, has such a gradual slope that someone standing at the base couldn't see the summit because it's beyond the horizon.

[Shannon Stirone💀 @shannonmstirone]

BREAKING: NASA just announced that we are going to Titan!! *screams with joy*

I've got the breaking news and more on this incredibly exciting mission for you here: https://t.co/hpUpW3DWdS
@sciam

[Fermat's Library @fermatslibrary]

A Short History of Markov Chain Monte Carlo 👉 https://t.co/XHpyZcpBJE

[Douglas Auclair @DougAuclair]

At @Hindsight_Sol, we've set up the #GraphDatabase Amazon Neptune and have a sample set of wikidata RDF https://t.co/AmkpERxmcm

[Douglas Auclair @DougAuclair]

AWS has just launched 'ground station': satellite communication and control as a service. https://t.co/K2LNPVudrN

[Hindsight Tech Solutions @Hindsight_Sol]

Product Update! We have expanded our Smart-Tagging technology to the Government & Politics section of @virginianpilot! This launch indicates our ability to integrate into general news sections which will be a key factor to scaling next year!

https://t.co/V4NWwDwzMr

[Hersh Patel @hershpatel91]

Announcing our Mobile launch!

[Douglas Auclair @DougAuclair]

@hershpatel91 @PlinketyPlink (low key ... well, SOMEbody needs to expand their dating pool SOMEhow ... #JustSaying)

[Plink @PlinketyPlink]

What age were you when you first saw the 8 in the middle of the 8 of diamonds? 😯

[Fermat's Library @fermatslibrary]

A curious identity involving e and π

[Fermat's Library @fermatslibrary]

A visual proof that
1/4 + 1/4² + 1/4³ + ... = 1/3

⚪⚪⚪⚪⚪⚪⚪⚪
⚪⚫⚪⚪⚪⚪⚪⚪
⚪⚪⚫⚫⚪⚪⚪⚪
⚪⚪⚫⚫⚪⚪⚪⚪
⚪⚪⚪⚪⚫⚫⚫⚫
⚪⚪⚪⚪⚫⚫⚫⚫
⚪⚪⚪⚪⚫⚫⚫⚫
⚪⚪⚪⚪⚫⚫⚫⚫

[Hersh Patel @hershpatel91]

Excited announce the expansion of our Smart-Tagging product. Let’s keep rolling team!

[Douglas Auclair @DougAuclair]

USA Citizens: remember to vote today #ElectionDay

[MIT CSAIL @MIT_CSAIL]

"A good programmer is someone who always looks both ways before crossing a one-way street." - Doug Linder #mondaymotivation

[Fermat's Library @fermatslibrary]

Feynman wrote an unpublished 2 page manuscript approaching Fermat's Last Theorem from a probabilistic standpoint and concluded (before Andrew Wiles' proof!) that "for my money Fermat’s theorem is true". Here is the reconstruction of his approach: https://t.co/3GrUNXEfuW

[Fermat's Library @fermatslibrary]

Quick proof that π/√2 is irrational
If π/√2=a/b (rational), we could write π²b²-2a²=0. This would mean that π is the root of the polynomial x²b²-2a², which is not possible since π is transcendental- is not the root of any non-zero polynomial equation with integer coefficients

[Fermat's Library @fermatslibrary]

Here’s why windows become mirrors at night
95% of the light that reaches a window goes through and 5% is reflected.
- During the day, most light you see is due to refraction from the outside.
- At night, most light you see is reflected from the inside so you see your image

[Fermat's Library @fermatslibrary]

A simple visual proof that: 1+2+3+...+n = (n²+n)/2

⚪ ⚫⚫⚫
⚪⚪ + ⚫⚫
⚪⚪⚪ ⚫

=

⚪⚫⚫ ⚫
⚪⚪⚫ + ⚫
⚪⚪⚪ ⚫

[Fermat's Library @fermatslibrary]

Every odd integer is the difference of 2 squares
Proof:
1) Pick an odd number
░░ ░░ ░░ ░░ ░░

2) Bend it in half
░░ ░░ ░░
░░
░░

3) Fill in the rest
░░ ░░ ░░
░░ ▓▓ ▓▓
░░ ▓▓ ▓▓

The odd nbr is the area difference of the big and small squares