Silly Druid
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Write the above user's username with your eyes closed
Silly Druid replied to Zyla Fae's topic in Forum Games
Peomcess So;ly -
I'm fascinated by ChatGPT lately, and this video about it is extremely hilarious:
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Underrated Pony Music #111
Relaxing with Celestia.
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So you think one bit is the smallest possible portion of information?
Silly Druid commented on Silly Druid's blog entry in Deep Thoughts No One Cares About
@Splashee But if, instead of bits, you use something that can have 3 values, then you don't need to round it in this case. It's not used in practice, but theoretically you can build circuits with three-valued logic. -
So you think one bit is the smallest possible portion of information?
Silly Druid commented on Silly Druid's blog entry in Deep Thoughts No One Cares About
@Splashee While I can agree that it's hard to imagine (if not impossible) to create a physical object that contains less than one bit of information, when you put that information into the context of reducing the uncertainty about a specific question, then you can say the information gained is less than one bit, like in my example above. -
I've read about this in an old book about Bridge (the card game). The example below is a modified version of the one used in that book. There are 3 people (including you) sitting by the table, and every one of them gets a card. There are 2 black cards and one red card, and for some reason you want to know who has the red card. The cards are lying on the table, face down. So, how much information do you need to know who has the red card? By definition, the amount of information (in bits) is log2 of the number of possibilities. For example, a byte has 256 possible values, which means it contains log2 (256) = 8 bits of information. In this case, you have 3 possibilities (you know one of the 3 people has the red card), which means you need log2 (3) ≈ 1.585 bits of information. Now, you reveal your card and see that it's black. How much information did you gain? Well, about the card itself you gained one bit, because it could be black or red. But about the question "who has the red card" you had 3 possibilities and now you have 2 (one of the two other people has the red card), which means now you need log2 (2) = 1 bit of information. So the information gained is 1.585 - 1 = 0.585 bits. So getting a smaller amount of information than one bit is indeed possible!
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We'll all miss you, Frostbite.
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OK, one more and I'll stop the ChatGPT spam.
"Celestia: A Shining Princess"
(This one is for @Samurai Equine)
In the land of Equestria,
Where magic reigns supreme,
There's a princess who's beloved,
A shining, radiant beam.Her name is Celestia,
And she rules with grace and might,
A leader true and just,
Guiding with her wisdom's light.Her mane is like the sun,
A bright and golden glow,
Her wings spread wide and proud,
As she watches over all below.With her magic, she brings harmony,
To the ponies far and wide,
And her heart is full of kindness,
Her spirit full of pride.She teaches us the lessons,
Of friendship and of love,
And reminds us all to strive,
For our dreams in skies above.So let us sing her praises,
And honor her with glee,
For Princess Celestia is truly,
The heart of Equestria's beauty. -
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"Zecora, the Wise Shaman"
(written by ChatGPT)
In the heart of the Everfree Forest,
Lies a zebra whose name is Zecora,
A wise and powerful shamaness,
Whose magic runs deep like the flora.With her knowledge of potions and spells,
She heals the sick and wounded,
And helps those lost in the woods to tell,
The path that should be bounded.Her stripes may seem strange at first,
But they hold secrets untold,
And when she speaks, her words are burst,
With wisdom that cannot be sold.Zecora is a friend to all,
Both animal and pony alike,
And though her ways may seem tall,
Her heart is always ready to strike.So if you ever find yourself in need,
In the midst of the dark forest's creep,
Just remember the zebra whose magic exceeds,
And seek out Zecora, the wise and deep. -
Hearts and Hooves Day...Songwriting! 🎵🎶
Silly Druid replied to Courageous Thunder Dash's topic in Site Events
I got ChatGPT to write a love song about ponies. -
I'm glad I could help. I just wrote a prompt though, the rest is ChatGPT's work.
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I'm not sure what it means, perhaps the Pegasi and Unicorns had claims to mosty the same territory, but the Unicorns wanted to leave Earth Ponies alone in one region? -
As far as I was able to check, in the show the flag always has 41 stars, 19 in the top part and 22 in the bottom part. In this case one of the stars is on Celestia's wing, but the total number is the same: So the number 41 seems to be important here, perhaps there are 41 regions of Equestria, so it's like the stars representing the states on the US flag.
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Well, you told me about some of them, and they were truly extraordinary.
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But then you wouldn't have your amazing dreams...
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@Splashee The sign switch is due to moving the term to the other side of the equation. S = 1 + 9S (move 9S to the left side) S - 9S = 1 -8 S = 1 (divide both sides by -8) S = -1/8 @RDDash Such manipulations of divergent infinite sums are normally not allowed and can lead to nonsensical results. It's interesting that your approach leads to the same result in both cases, but I can give you another one that leads to another result: S = (1+2) + (3+4) + (5+6) + ... S = 3 + 7 + 11 + ... but also S = 1 + (2+3) + (4+5) + (6+7) + ... S = 1 + 5 + 9 + 13 + ... now let's add both expressions for S 2S = 1 + (3+5) + (7+9) + (11+13) + ... 2S = 1 + 8 + 16 + 24 + ... 2S = 1 + 8S -6S = 1 S = -1/6 Also this kind of manipulations were used in the Numberphile video, without explaining properly why they were "allowed" in that case, which makes that video a bad example of popularizing mathematics. (Watch the Mathologer video that I linked in the main post for more information about that.)
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My favorite MLP ship: -
@Splashee This doesn't look like a quadratic, the growth from 84 to 482 is way too fast compared to the earlier steps. Unless the x values aren't evenly distributed.
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Tree Song in Pony Town
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That's a pretty interesting Nightmare Night costume...
Oh my~ If I had a secret diary, I feel like this is the kind of poetry you'd find in it.
aw, wish I had found this at the time - it's perfect 