Interested in advertising on Derpibooru? Click here for information!
Champions of Equestria

Help fund the $15 daily operational cost of Derpibooru - support us financially!

Description

No description provided.

safe2173985 screencap295703 twilight sparkle357678 alicorn314062 pony1602142 g42028607 princess spike780 4chan6949 anonymous704 arial72 book43552 bronybait3390 comment bait25 cute265701 dream3292 female1802292 if you see this image while scrolling15 mare740798 meme93863 sleeping29382 tired4462 twilight sparkle (alicorn)149094

Comments

Syntax quick reference: **bold** *italic* ||hide text|| `code` __underline__ ~~strike~~ ^sup^ %sub%

Detailed syntax guide

Cirrus Light
Economist -
Condensed Milk - State-Approved Compensation
Friendship, Art, and Magic (2018) - Celebrated Derpibooru's six year anniversary with friends.
Helpful Owl - Drew someone's OC for the 2018 Community Collab
Birthday Cake - Celebrated MLP's 7th birthday
Best Artist - Providing quality, Derpibooru-exclusive artwork
Magical Inkwell - Wrote MLP fanfiction consisting of at least around 1.5k words, and has a verified link to the platform of their choice
Not a Llama - Happy April Fools Day!
Friendship, Art, and Magic (2017) - Celebrated Derpibooru's five year anniversary with friends.
An Artist Who Rocks - 100+ images under his artist tag

Sciencepone of Science!
@Cirrus Light  
If you imagine there’s a three-character window, and you have a repeating string of ABCABCABCABCABC…, then you can scroll it three places to the right to get all possible combinations. Watch the “A”:
 
ABC  
CAB  
BCA  
ABC
 
The fourth is a duplicate, so there is three unique combinations.
 
In order to actually change the ABC string instead of merely “sliding” the ABCABCABC… to the right or left, we have to change the intrinsic order. ACB accomplishes this. As illustrated above, CAB, for example, would not. But because A has B to its right, the ABC pattern will never produce ACB, therefore, it is a unique combination.
 
Let’s look at the possible “windows” of ACB repeating (ACBACBACBACB…)
 
ACB  
BAC  
CBA  
ACB
 
The fourth is a duplicate, so there is three.
 
You can only uniquely change the order once, though. Notice that trying to change the order again will simply give you a combination of ABC.
 
ACB. Switch B and C: ABC. Switch A and C: CAB. Switch A and B: BCA.
 
This is because we’ve set the set up to repeat - ABCABCABC… - so selections of the ABCABCABC set correspond to a mere shift that doesn’t actually change the intrinsic properties of the set itself.
 
The intrinsic properties are the relationships in-between the three letters. Because there are three letters, we can completely define this string by two relationships:
 
ABC  
After an “A”, place B. After a “B”, place “C”.
 
These instructions are the relationships in-between the three letters. Notice, we can only swap the instructions once:  
After an “A”, place C. After a “C”, place “B”.
 
This is because of how the instructions are structured. In part 1, we specify after what letter, and then we command another letter to be placed that is not the first letter. Since there are only three, that letter must be either C or B - only 2 options. Once you have made this choice, the next instruction is complete defined: it must tell you what to do next, so it says “After” [whatever letter you picked to place in the first instruction], place [the only letter not yet used].
 
And so with the constraints that every letter must be used exactly once and there’s three letters, this means you can only change the order of the letters once - that single swap that’s mentioned - since there are only two options for what to place first, and after choosing one option, the rest of the instructions are unavoidably set with no possible further choices.
 

 
 
…This is what happens when I stay up too late.
 
Haha, it’s 3:14. Pi…
Cirrus Light
Economist -
Condensed Milk - State-Approved Compensation
Friendship, Art, and Magic (2018) - Celebrated Derpibooru's six year anniversary with friends.
Helpful Owl - Drew someone's OC for the 2018 Community Collab
Birthday Cake - Celebrated MLP's 7th birthday
Best Artist - Providing quality, Derpibooru-exclusive artwork
Magical Inkwell - Wrote MLP fanfiction consisting of at least around 1.5k words, and has a verified link to the platform of their choice
Not a Llama - Happy April Fools Day!
Friendship, Art, and Magic (2017) - Celebrated Derpibooru's five year anniversary with friends.
An Artist Who Rocks - 100+ images under his artist tag

Sciencepone of Science!
Sleep Twilie, tight.
 

 
Hmmm…
 
ABC  
CAB  
BCA
 
CBA  
ACB  
BAC
 
3 * 2 * 1 words = 6 possible combinations, so that’s all of them. (This is awesome!)
 
So that’s
 
Sleep tight, Twilie. (A = Sleep, B = tight, C = Twilie)  
Twilie, sleep tight. (Oooh, it works!)  
Tight Twilie, sleep.
 
Twilie, tight sleep.  
Sleep Twilie, tight.  
Tight sleep, Twilie.
 
:D
 
The Twilight-Pinkie fusion would be proud :p