Thoughts On The Hamsters Wheel @pantyhamster69 - Tumblr Blog

starcitysirens

John and Zari’s Greatest Hits: Dragged to Filth Edition

catchymemes

hymnofvalefor

pansexualandnervous

He looks so excited my God 🤣🤣

musicalhell

I know this is about ecological balance and population control but I can’t help but imagine those wolves are on a covert mission to assassinate moose extremists or some shit

werewolfie

idk why, but for some reason i find photoshopped pictures of poptart boxes with fake ridiculous, outrageous flavor names to be the funniest freaking thing

like this is hysterical

derinthescarletpescatarian

I’m interested in Frosted Water

weakling-grace

Theres a reddit page

flaming-ramen

tastefullyoffensive

wurwurz

My gif and screencaptures from the Charade video.

hilarioushumorfromouterspace

shermad

When life gets too strange, too impossible, too frightening, there is always one last hope. When all else fails, there are two men sitting arguing in a scruffy flat like they’ve always been there, and they always will.

fyphysica

Dynamics of Love affairs: FYP!’s Valentine’s Day Gift Box

There is no simple love story.

If it’s simple, its not love.

If it’s love, its complicated.

How complicated can it get? Well let’s find out!

Romeo and Juliet

Let’s consider a love affair between Romeo and Juliet.

We shall use functions R(t) and J(t) to quantify their love:

R(t) –> Romeo’s love/hate for Juliet at time t

J(t) –> Juliet’s love/hate for Romeo at time t

These quantities are positive for love and negative for hate.

The simplest linear relationship that one can construct to describe their love affair is:

These set of primitive equations*** can be used to predict how their relationship is going to evolve with time.

Now if you had taken a course in Linear Algebra then you might know how to solve these system of linear differential equations and obtain the solution. Here’s a quick review:

INTERLUDE: What type of a person is Romeo ?

Remember that we said that Romeo’s love for Juliet evolves with the equation:

Depending on the signs of the coefficients a and b , Romeo can exhibit one of four romantic styles:

1. Eager beaver: a > 0, b > 0 (Romeo is encouraged by his own feelings as well as Juliet’s.)

2. Narcissistic nerd: a > 0, b < 0 (Romeo wants more of what he feels but retreats from Juliet’s feelings.)

3. Cautious (or secure) lover: a < 0, b > 0 (Romeo retreats from his own feelings but is encouraged by Juliet’s.) –>Most people

4. Hermit: a < 0, b < 0 (Romeo retreats from his own feelings as well as Juliet’s.)

And based on the signs of the coefficients c and d Juliet can also exhibit one of four romantic styles as well.

If we know these coefficients for Romeo and Juliet, we can look compute the trace (a+d) and determinant (ad-bc), and look up the Poincaré diagram to predict the future of the Romeo-Juliet relationship:

Example: A never-ending tale of love and hate

Let me illustrate with a special case where a = 0 , b = 1, c = (-1), d = 0:

Trace = a + d = 0

Determinant = ad - bc = 1

Looking up the Poincaré diagram we get a centered orbit:

And we can verify this by using solving this system of linear equation numerically using applications such as pplane:

Plot of Romeo’s love for Juliet v/s Juliet’s love for Romeo

What this plot implies is that the couple is stuck for eternity in an orbit of love and hate. Wherever the initial point of starting might be on the plane, they always end up orbiting round the origin.

They spend three quadrants of their cycle in a turmoil of love and hate but spend one entire quadrant (R > 0 & J > 0) in true and unconditional love.

Happy Valentine’s day everybody!

* This post was Inspired by Strogatz’s Book on Nonlinear Dynamics and Sprott’s paper titled ‘Dynamical Models of Love’.

** Previous giftboxes: 2016 , 2017

*** This is the simplest system that one can analyze

fyphysica

Why not just buid a solar panel around the sun to solve all energy problemss?

Behold the Dyson Sphere

Dyson sphere is a hypothetical mega-structure that completely encompasses a star and captures most or all of its power output.

Over the years many variants have been explored:

The simplest such arrangement is the Dyson ring, in which all ‘energy harvesting structures’ share the same orbit.

Add multiple Dyson ring structures and you will get a Dyson swarm.

Now what if you didn’t like a consistent orbit for your structures, you could employ a solar sail to continuously modify its orbit( called a statite ).

Such an arrangement would be known as a Dyson Bubble

Then there is the fictionally popular version - The Dyson Shell, where a uniform solid shell of matter just encapsulates the entire star.

And many many more. But you get the gist.

Could there be Dyson Spheres out there?

When scientists were monitoring the brightness from some stars, they found that it fluctuated in some odd ways like so:

Brightness v/s time for KIC 8462852

It is common for such dips to occur since when a planet eclipses a star, there would a drop in the brightness observed from the star.

Brightness v/s time for a binary star system

But what was baffling was the duration and period of occurrence of these dips.

Although the main line of rationale remains as asteroid impact remnants or interstellar collisions causing these aberrations in data.

But to say that these could the signs of an alien civilization does remain to be the more entertaining interpretation.

Great Question. Thanks for asking !

** For more information. check out this TED talk

somaddicouldscream

When you’re daydreaming about kinky shit in public and you suddenly you’re like “what if someone here’s a mind reader!!!”

onemuseleft

I want to write a fic where Lilo goes to college and her roommate is Boo from Monsters Inc. Boo is the first person to think Stitch is adorable and cuddly, and Lilo is the first person not to act like “Mike Wazowski” was a weird name for a goldfish. They get on like a house on fire which is kind of bad for Nani’s blood pressure.

But then one night they wake up in the middle of the night because something is in their closet. And the door starts to creak open so Stitch tackles whoever (whatever) is in there. They fall back into the closet, the door slams shut… and when Lilo runs over and opens it there’s nothing but an empty closet.

Then Boo tells Lilo all about this weird thing that happened to her when she was a kid, and how no one ever believed her but she knows it was real.

And cue Lilo and Boo busting into the Monster world to rescue Stitch and wreaking mad havoc in the process.

smashinginkpots

SEE THIS IS A WORTHY SEQUEL

throwaninkpot

This needs to happen

moomoobooboo-deactivated2020102

Petition for the movie to be hand-drawn in Lilo and Stitch’s style when they’re in the human world, and computer animated once they go through the door into the monster world.