#powers of two

[tristarnova]

Werid facts about math that I find interesting

If you put all squares in a sequence, you may notice each square can be created if you add up the odd numbers, form smallest to biggest, 1+3=4+5=9+7=16+9=25+11=36+13=49+15=64+17=81+19=100, so on and so forth, multiplying squares or cubes together will get you the square or cube of their multiple, squaring a cube will always give you the square of the cube and the cube of its square.

If you combine a number of objects into unique groups, you will always get the power of two of the number of objects you combined -1, so 2-1=1 for 1, 4-1=3 for 2, 8-1=7 for 3, 16-1=15 for 4, 32-1=31 for 5, 64-1=63 for 6, so on and so forth, but if you add of the previous ones you also get it, since 1 is the only odd power of two, if you add the non negative powers of 2, the result will always be odd, which means the total of all unique groups you can create will always be odd.

Fibonacci numbers, created by adding the 2 previous numbers together to create a new number will eventually converge on the golden ratio, if you divide consecutive numbers in the sequence together, the Fibonacci sequence is 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, and well it basically continues non stop.

[stealingpotatoes]

happy neil banging out the tunes day to everyone who celebrates

[nenoname]

mr "i'm the fittest and healthiest 60 y/o you've ever seen" constantly using the same "i'm old!!" excuse

[cryptocism]

It would have taken another immortal to keep up with him.

so i haven't read the books but i did read the Devil's Minion chapter and this part made me laugh out loud:

[symphonyofsilence]

Let the poor man rest.

[sirius-bizdness]

oh nice one away from a power of two

if the “sans is from the deltarune universe” theory is true then it is extremely funny that we’ve been calling him “sans undertale” for years

[chloesimaginationthings]

FNAF Escape the Pizzaplex good ending,,

[howmanyholesinswisscheese]

penelope really said how dare you imagine a world where i don't love you. how fucking dare you. every day that you are not here is torture to me. every moment spent without you is like missing a piece of myself. how. fucking. dare you. pick up our immovable fucking wedding bed until you learn some respect

[mercurio-shadowz]

Some mid to late 30’s Sonic and Shadow designs/ideas -w-

Sonic is and will be on his prime for a long time. i hc that Chaos energy users live longer xD (That includes Silver n Knux)

Also they’re married but still act like they hate each other lol

[psychedelic-charm]

Maybe I just had a different textbook, but I don't remember seeing this picture anywhere in mine.

And if you read carefully, you'll see that the photo was chosen to illustrate the collaborative nature of Lennon and McCartney.

first day of senior year, mclennon in the english textbook???

[han-ban-bam]

nose away from the grindstone lads. go get some snacks. refresh ur eyes to refresh the work.

[sag-dab-sar]

Medical devices should not require an iOS or Android app to work. It took me twelve fucking minutes to set up and get my phone to connect to my migraine treatment device, 12 minutes during a horrendous migraine and I had to fight with my phone to get it to work instead of pressing a fucking button on the device. It might need a small controller to change strength but thats not fucking difficult to add.

Relying on a phone is bullshit: what if I'm out of battery? what if bluetooth is broken or something? what if I'm in too much pain to get the treatment app to work defeating the purpose? What if I'm paranoid about privacy so chose a non iOS/Android phone? What if I have issues with smartphones so use a classic cell phone? I know people that require that.

Requiring a disabled person to have iOS/Android in order for treatment to work is an unnecessary and borderline discriminatory practice.

Edit: After seeing all the personal anecdotes in comments reblogs and tags, I've come to a new conclusion— it is discriminatory.

[paintedcrows]

It is imperative to me that Bill and Stan do torrid Duchess Approves roleplay and argue about character motivations

[mo-mode]

The Biblically Accurate Trio in TLT

[mischievous-thunder]

From merely existing in two separate universes all the while trying their hardest every single day to mend the broken pieces of themselves

to finding someone who's willing to sacrifice himself to make sure the other person gets all the love and happiness of the world, to finding someone to go home to, to finally having the family of their dreams materialised, Wade and Logan's paths merged into one. It's but a new beginning.

Nothing really clicked prior to them meeting each other because their soulmates didn't even exist in their respective universes. Everything starts falling into place when their fate brings them together. They are each other's anchor beings.