Seriously cannot sleep, tonight.

Trying to force slumber rarely works.

Instead I’ll settle for staring at the night-light projected on my ceiling, perhaps? 🤷🏻‍♂️😅

It is mesmerising.

Doesn’t seem to impact the cats none… they’re sleeping blissfully, enjoying the comfort of my body heat on this coolish #Melbourne night. 🐾🐾

🐈🐈‍⬛

#narrm #victoria #Australia #makesmehappy #countingsheep #zzz

Counting Sheep

It's more effective to count all the ribs

#art #ascii #asciiart #bbs #computer #computerart #demoscene #digital #digitalart #retro #retroart #text #textart #textmode #textpunk #8bit #8bitart #sheep #skull #skeleton #occult #sleep #countingsheep #unfinished

#MastoPrompt #SmallPoem

1, a place to start
2, keep it even on the ark
3, puts one in the middle
4, counts in the dark
5, brain is a beehive
6, hit me with a brick
7, is not really lucky
8, I give in to fate
9, not feeling so fine
10, it’s getting awfully late
11, easy on the eye
12, so tired I could cry
13, is awkward to say
14, it’s another day
15, many years ago
16, maybe a midnight snack
17, my feet feel #frozen
18, yawn attack
19, feel kinda cosy
20, I’m dozy
21, Zozzy
22,

#CountingSheep

For some reason my body is refusing to sleep tonight! Has a hot milk drink, listened to some music, played a mundane game…….eyes feel tired, alas, no sleep is forthcoming!!
#CountingSheep #Insomnia #LifeAt4am

Started "Deeeer Simulator" via Xbox Game Pass ... Never played "Goat Simulator", but I'm guessing this is a poor substitute (plus I thought the arcade machines were going to feature actual minigames, what a rip-off!) #GodDisguisedAsACow #LikeATruck #KeptYouWaiting #CountingSheep

I haven't done one of these in a while, but lately when I'm falling asleep, I have been doing some #matrices in my head.

A simple one has been the #Pascal matrix.

Let's do another episode of #CountingSheep!

A short little episode of #CountingSheep last night:

A palindrome number (e.g 456654) with an even number of digits cannot be prime.

Such a \(2n\)-digit number is
\[
a = \sum_{k=0}^{n-1} a_k (10^k + 10^{2n-1 -k}).
\]
Since \(10 \equiv -1 \pmod {11}\) and the parity of the exponents of each term of the sum is opposite, we have
\[
a \equiv \sum_{k=0}^{n-1} a_k (1 - 1) \equiv 0 \pmod{11}
\]
or in other words, \(11|a\), so it's not prime.

#ProofInAToot

Last couple of nights I've been falling asleep on another little mental calculation.

Oh yeah, it's time for another episode of #CountingSheep, bay-bee!

This time we're doing linear #Diophantine equations, i.e. the Euclidean algorithm.

Last few nights I've been working on another mental calculation. In this episode of #CountingSheep, I bring you #PellsEquation and #ContinuedFractions.

Last night's episode of #CountingSheep, which is what I will decide I am going to name my in-bed attempts to do a calculation in my head until I fall asleep, I decided to try to re-derive a pen-and-paper algorithm for approximating square roots in base 10.