#30 Days of Writing

[whenmemoriesfrost]

writing every day in march // day three

today definitely felt like the first day of spring!

i find it really hard to accept that first drafts suck, and that it’s okay to start drafting to explore ideas without having 100% of the plot outlined yet

spending this afternoon/evening doing a first draft for one WIP, and just taking notes and brainstorming for another. i’m definitely gaining a better understanding of them both and why i’m writing them, which is great :)

[aestheticera]

Blossom 🌸🌊 28 Days Challenge #1

Start date : 29 June 2024

🌪️🪐🌷

Physical 🏋️

Wake up at 7 am and go to bed at 11 pm.

Exercise 20 mins (>70%)

Drink 3 bottles

Mental 🕯️

Journaling Day and Night 🌃

Read 10-12 pages every day with notes.

Learn English Advance ( 1-2 tasks)

1 podcast everyday with notes up Or article .

Start the course on 1 skill of your liking.

Spiritual 🌷

Yoga class everyday.

Meditation 2 times (Joe dispenza) + youtube one .

Breathwork 5-10 mins in morning.

Affirmations 369

Pray + Grateful 🫧.

More tips ☕

Limit the screen time as much as you can.

Be aware and mindful of everything you do.

Remember discipline over regret.

This time is precious so don't lose it.

It's possible and we can do this .

And like this we will blossom, blossom into the best of our versions with the feathers and free will to fly as far as we can .🦋

💟🌸🕯️

[justsomewritingzx]

Describe Your Personality

Your words will only be true to me through the outcome of your actions.

You will reveal your secrets, while I listen and ask questions. I will not use your weakness against you; I will keep them safely.

I feign nonchalance to hide my loud insecurities. I roll my eyes at nonsense. I validate one’s existence by laughing at their jokes.

Most of the time, I feel nothing. I keep myself busy by pretending I am doing something worthy.

[shaylogic]

Cat King: I know my kingdom better than you. I'm proud of my duties towards my citizens. I hold responsibilities that are very impressive.

Edwin: You've forgotten yourself in your own lack of self-awareness and self-worth -- exactly proving my point.

[bee-bees-posts]

Day 1

Hopefully I will start this off going 30 days straight writing every day. I think it would be cool to have a following and all but the thought of having an audience makes me want to censor more. I should probably do that anyways because its the internet and everyone knows that everyone is being watched and profiles are being sold to advertising companies and all that jazz. It is no longer a conspiracy, thats just how things are. Because my Skinko baby woke me up at 5 this morning, I got to watch the sunrise. it was gorgeous.. So yellow that I smiled.

Im thinking about doing art exercises along with my chores today. My boyfriend Jack is gonna be home from work today so I definitely have the freedom. I really need to get better at both, I plan on making some kind of colander but I'm not sure where to start.. I saw a Tik Tok the other day that said "when I was 17 I thought I was so wise and knew so much more than everyone and I just got it, now I spend my 20s making sure my apartment stays clean." (that probably wasn't the exact quote i'm just basing from my memories.)

I see in the future so frequently I'm imagining day 100 cake i'm gonna bake, and I also want to reward myself with dumplings on day 30, but only if I don't break my streak.

This is kind of lame for a my first entry but not every one is going to be ground breaking stuff. The most exciting thing going on in my life right now is waiting for my family to visit and smoke with me, except the kids obviously. Just me, Mama, and Grandma. God my moms side of the family is so cool. Im lucky to have that side on MY side.

[l-in-the-creative-world]

The 30-Day Writing Challenge

Book browsing and buying, 6am wake ups and long work days. That was last weeks vibe. It was a little hard to keep on track with my prompt writing. I may or may not have spent Sunday just catching up. Either way, I'm hoping to get more consistent this week. So I’m still doing favourite lines for each week, but I really enjoyed my day 12 a lot so i put more then just the one line. Hope this is reaching you well, sending positive and productive vibes ✌🏻💕

Day Eight: ‘How are you?’ he asked looking at me with so much compassion in his eyes it scared me. 

Day Nine: Untouched, unmoved.

Day Ten: Though even without the fear of being hurt, my heart beat faster than ever.

Day Twelve: His face is smashed sideways against the window of a police building when Kaitlyn runs for the third time. They should have expected it. She’s good at running, good at finding ways to escape the twisted faith that the gods have given her.

Day Thirteen: The enemy is still on the table; that white piece of paper whose edge carries his blood, like a trophy of what it’s accomplished. 

Day Fourteen: Getting on the bus in the early autumn morning is a battle for a good seat, for somewhere to take a moment to breathe after rushing to reach this stop.

[physicallyimprobable]

what's the 3-dimensional number thing?

Well I'm glad you asked! For those confused, this is referring to my claim that "my favorite multiplication equation is 3 × 5 = 15 because it's the reason you can't make a three-dimensional number system" from back in this post. Now, this is gonna be a bit of a journey, so buckle up.

Part One: Numbers in Space

First of all, what do I mean by a three-dimensional number system? We say that the complex numbers are two-dimensional, and that the quaternions are four-dimensional, but what do we mean by these things? There's a few potential answers to this question, but for our purposes we'll take the following narrative:

Complex numbers can be written in the form (a+bi), where a and b are real numbers. For the variable-averse, this just means we have things like (3+6i) and (5-2i) and (-8+3i). Some amount of "units" (that is, ones), and some amount of i's.

Most people are happy to stop here and say "well, there's two numbers that you're using, so that's two dimensions, ho hum". I think that's underselling it, though, since there's something nontrivial and super cool happening here. See, each complex number has an "absolute value", which is its distance from zero. If you imagine "3+6i" to mean "three meters East and six meters North", then the distance to that point will be 6.708 meters. We say the absolute value of (3+6i), which is written like |3+6i|, is equal to 6.708. Similarly, interpreting "5-2i" to mean "five meters East and two meters South" we get that |5-2i| = 5.385.

The neat thing about this is that absolute values multiply really nicely. For example, the two numbers above multiply to give (3+6i) × (5-2i) = (27+24i) which has a length of 36.124. What's impressive is that this length is the product of our original lengths: 36.124 = 6.708 × 5.385. (Okay technically this is not true due to rounding but for the full values it is true.)

This is what we're going to say is necessary to for a number system to accurately represent a space. You need the numbers to have lengths corresponding to actual lengths in space, and you need those lengths to be "multiplicative", which just means it does the thing we just saw. (That is, when you multiply two numbers, their lengths are multiplied as well.)

There's still of course the question of what "actual lengths in space" means, but we can just use the usual Euclidean method of measurement. So, |3+6i| = √(3²+6²) and |5-2i| = √(5²+2²). This extends directly to the quaternions, which are written as (a+bi+cj+dk) for real numbers a, b, c, d. (Don't worry about what j and k mean if you don't know; it turns out not to really matter here.) The length of the quaternion 4+3i-7j+4k can be calculated like |4+3i-7j+4k| = √(4²+3²+7²+4²) = 9.486 and similarly for other points in "four-dimensional space". These are the kinds of number systems we're looking for.

[To be explicit, for those who know the words: What we are looking for is a vector algebra over the real numbers with a prescribed basis under which the Euclidean norm is multiplicative and the integer lattice forms a subring.]

Part Two: Sums of Squares

Now for something completely different. Have you ever thought about which numbers are the sum of two perfect squares? Thirteen works, for example, since 13 = 3² + 2². So does thirty-two, since 32 = 4² + 4². The squares themselves also work, since zero exists: 49 = 7² + 0². But there are some numbers, like three and six, which can't be written as a sum of two squares no matter how hard you try. (It's pretty easy to check this yourself; there aren't too many possibilities.)

Are there any patterns to which numbers are a sum of two squares and which are not? Yeah, loads. We're going to look at a particularly interesting one: Let's say a number is "S2" if it's a sum of two squares. (This thing where you just kinda invent new terminology for your situation is common in math. "S2" should be thought of as an adjective, like "orange" or "alphabetical".) Then here's the neat thing: If two numbers are S2 then their product is S2 as well.

Let's see a few small examples. We have 2 = 1² + 1², so we say that 2 is S2. Similarly 4 = 2² + 0² is S2. Then 2 × 4, that is to say, 8, should be S2 as well. Indeed, 8 = 2² + 2².

Another, slightly less trivial example. We've seen that 13 and 32 are both S2. Then their product, 416, should also be S2. Lo and behold, 416 = 20² + 4², so indeed it is S2.

How do we know this will always work? The simplest way, as long as you've already internalized the bit from Part 1 about absolute values, is to think about the norms of complex numbers. A norm is, quite simply, the square of the corresponding distance. (Okay yes it can also mean different things in other contexts, but for our purposes that's what a norm is.) The norm is written with double bars, so ‖3+6i‖ = 45 and ‖5-2i‖ = 29 and ‖4+3i-7j+4k‖ = 90.

One thing to notice is that if your starting numbers are whole numbers then the norm will also be a whole number. In fact, because of how we've defined lengths, the norm is just the sum of the squares of the real-number bits. So, any S2 number can be turned into a norm of a complex number: 13 can be written as ‖3+2i‖, 32 can be written as ‖4+4i‖, and 49 can be written as ‖7+0i‖.

The other thing to notice is that, since the absolute value is multiplicative, the norm is also multiplicative. That is to say, for example, ‖(3+6i) × (5-2i)‖ = ‖3+6i‖ × ‖5-2i‖. It's pretty simple to prove that this will work with any numbers you choose.

But lo, gaze upon what happens when we combine these two facts together! Consider the two S2 values 13 and 32 from before. Because of the first fact, we can write the product 13 × 32 in terms of norms: 13 × 32 = ‖3+2i‖ × ‖4+4i‖. So far so good. Then, using the second fact, we can pull the product into the norms: ‖3+2i‖ × ‖4+4i‖ = ‖(3+2i) × (4+4i)‖. Huzzah! Now, if we write out the multiplication as (3+2i) × (4+4i) = (4+20i), we can get a more natural looking norm equation: ‖3+2i‖ × ‖4+4i‖ = ‖4+20i‖ and finally, all we need to do is evaluate the norms to get our product! (3² + 2²) × (4² + 4²) = (4² + 20²)

The cool thing is that this works no matter what your starting numbers are. 218 = 13² + 7² and 292 = 16² + 6², so we can follow the chain to get 218 × 292 = ‖13+7i‖ × ‖16+6i‖ = ‖(13+7i) × (16+6i)‖ = ‖166+190i‖ = 166² + 190² and indeed you can check that both extremes are equal to 63,656. No matter which two S2 numbers you start with, if you know the squares that make them up, you can use this process to find squares that add to their product. That is to say, the product of two S2 numbers is S2.

Part Four: Why do we skip three?

Now we have all the ingredients we need for our cute little proof soup! First, let's hop to the quaternions and their norm. As you should hopefully remember, quaternions have four terms (some number of units, some number of i's, some number of j's, and some number of k's), so a quaternion norm will be a sum of four squares. For example, ‖4+3i-7j+4k‖ = 90 means 90 = 4² + 3² + 7² + 4².

Since we referred to sums of two squares as S2, let's say the sums of four squares are S4. 90 is S4 because it can be written as we did above. Similarly, 7 is S4 because 7 = 2² + 1² + 1² + 1², and 22 is S4 because 22 = 4² + 2² + 1² + 1². We are of course still allowed to use zeros; 6 = 2² + 1² + 1² + 0² is S4, as is our friend 13 = 3² + 2² + 0² + 0².

The same fact from the S2 numbers still applies here: since 7 is S4 and 6 is S4, we know that 42 (the product of 7 and 6) is S4. Indeed, after a bit of fiddling I've found that 42 = 6² + 4² + 1² + 1². I don't need to do that fiddling, however, if I happen to be able to calculate quaternions! All I need to do is follow the chain, just like before: 7 × 6 = ‖2+i+j+k‖ × ‖2+i+j‖ = ‖(2+i+j+k) × (2+i+j)‖ = ‖2+3i+5j+2k‖ = 2² + 3² + 5² + 2². This is a different solution than the one I found earlier, but that's fine! As long as there's even one solution, 42 will be S4. Using the same logic, it should be clear that the product of any two S4 numbers is an S4 number.

Now, what goes wrong with three dimensions? Well, as you might have guessed, it has to do with S3 numbers, that is, numbers which can be written as a sum of three squares. If we had any three-dimensional number system, we'd be able to use the strategy we're now familiar with to prove that any product of S3 numbers is an S3 number. This would be fine, except, well…

3 × 5 = 15.

Why is this bad? See, 3 = 1² + 1² + 1² and 5 = 2² + 1² + 0², so both 3 and 5 are S3. However, you can check without too much trouble that 15 is not S3; no matter how hard you try, you can't write 15 as a sum of three squares.

And, well, that's it. The bucket has been kicked, the nails are in the coffin. You cannot make a three-dimensional number system with the kind of nice norm that the complex numbers and quaternions have. Even if someone comes to you excitedly, claiming to have figured it out, you can just toss them through these steps: • First, ask what the basis is. Complex numbers use 1 and i; quaternions use 1, i, j, and k. Let's say they answer with p, q, and r. • Second, ask them to multiply (p+q+r) by (2p+q). • Finally, well. If their system works, the resulting number should give you three numbers whose squares add to 15. Since that can't happen, you've shown that the norm is not actually multiplicative; their system doesn't capture the geometry of three dimensions.

[iknowwhereyousnoozeatnight]

lawlight week day 2: soulmates

[sicktember]

Official Sicktember 2023 Prompt List!

[Faqs Post]

[How to Submit Content Post]

[2023 Sicktember Collection on AO3]

[2023 Content Promotion Changes]

** Please remember to read the FAQs before asking event related questions**

[text version of the prompt list below the cut]

Prompts:

1. Hopelessly Bad at Self-Care

2. Quest for a Cure

3. "What happened to your phenomenal immune system, huh?"

4. Hiding an Illness

5. Preventative Measures (Not Taken)

6. Sick and Injured

7. “You’re a Jerk When You’re Sick”

8. Persistent Fever

9. White Coat Syndrome

10. “The only place we’re going is to the pharmacy”

11. Beginner’s Guide to Faking Sick

12. Old Wives Tale

13. Anxious Stomach

14. ‘‘I shouldn’t be worried about you, but for some reason I am’’

15. Sick in an Inconvenient Place

16. Consulting the Internet/Web MD

17. Magical Remedy/Healing Potion

18. “Wear Your Coat, You’ll Catch a Cold”

19. Curled Up With a Pet

20. Cramping Pain

21. "But if you stay, you'll get sick too"

22. Terms of Endearment/Nicknames

23. Coughing Fit

24. “Did you just sneeze?”

25. Confused/Disoriented

26. Pink Eye/Conjunctivitis

27. Uncooperative Patient

28. “I should have stayed home”

29. Side Effects/Adverse Reaction

30. Patient 0

Alts.

“I Could Really Use a Hug Right About Now”

Fuzzy Socks

Pounding Headache

Forehead Kisses

“I’m so sorry”

[sugajimin]

30 REASONS TO LOVE YOONGI

03.03  1993 - 03.03  2023 

(cr: in the soop:jung-koook, season’s greeting/ memories 2020:namuspromised, sowoozoo/yet to come in busan:0613data, mot’s one dvd: joonie)

[whenmemoriesfrost]

writing every day in march // days eight & nine

still writing my short story, very slowly. it’s nearly done (yes, I’ve said this for a week now)

I think I need a break from it and to work on something else. I want to write something under 1500-2000 words because everything I’ve written lately is 3-5000 and variety is good!

I feel pretty sad about being such a slow writer. It makes me wonder if I’ll ever get anywhere with my work.

[katballesteros]

Sachi

Commissioned by @inusmasha for @mustardyellowsunshine

Enjoy, Robin! :)

[myokk]

💘

[briarrolfe]

Talking about endometriosis symptoms at work: Yeah, I’m in a bit of pain so I might be a bit spacey every now and then, haha. But you know, I’m still fine to be at work! 😊🙏

Talking about endometriosis symptoms with friends: I know God is not merciful because if he was, he would have sent one of his angels to kill me with a shovel

[al-luviec]

I got so insanely mad while drawing this

+ closeup and normalness

[youneedsomeprompts]

~ VALENTINE'S DAY ~ PROMPTS

requested by: anonymous

Feel free to use and reblog!

a bouquet of their favourite flowers

surprise date night

"But I thought you never liked valentine's day?" "Surprise!"

having sleepless nights because they can't think of the perfect gift

getting asked out via a smudgy scribble on a coffee cup

cooking an intricate dinner for their loved one

slow-dancing in the living room

"I like when you're being so soft."

doing all things romance, so they don't have to do it the rest of the year

decorating the bedroom extra special

going on a first date and not realising it's valentine's day

going on a platonic date and being mistaken for a couple

"That's really all I need. Some time with just you."

writing a heartfelt letter

forcing their s/o to watch a soppy movie

going on a spontaneous road trip to get away from everyone

"If you'd ask me, every day could be valentine's day."

taking extra care of their s/o

giving their s/o a massage

repeating the same valentine's traditions every year

love confessions

having their anniversary on valentine's day

"Oh, you're the sweetest!"

celebrating with a bottle of champagne

staying in and having a lazy day because that's what they enjoy most

a bubbly bath together

"You know, I love doing crazy stuff on valentine's day."

giving their s/o a valentine's calendar

having a romantic picnic

taking candid pictures of their s/o to capture the special moments