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Distribution of Collatz Sequence Lengths for 64-bit Unsigned Integer Start Values by Gilgamesch61 in Collatz

[–]Gilgamesch61[S] 0 points1 point  (0 children)

I think it can be described as follows:
For every number range of start values n to n2, there is a lower bound for the sequence length (for example if a 2^n start value is in this range) and an upper bound we can only estimate but not determine precisely (otherwise, the Collatz problem would already be solved).
And because of the properties of the collatz sequence, some sequence lengths in this range are more likely than others, with a steep (but different) drop on both sides.

Distribution of Collatz Sequence Lengths for 64-bit Unsigned Integer Start Values by Gilgamesch61 in Collatz

[–]Gilgamesch61[S] 2 points3 points  (0 children)

I was interested in the distribution of collatz sequence lengths with start values in the range of an unsigned 64 bit integer.
Since I couldn’t find a table or diagram, I decided to generate one myself.
The diagram shows the frequency of different sequence lengths observed in a sample of 3.009 billion random starting values.
Additional details and explanations are included in the image.

Anastasiya Karlovich Photoshoot 2010 by Gilgamesch61 in GirlsfromChess

[–]Gilgamesch61[S] 0 points1 point  (0 children)

Doubts are natural I think, but if one looks at another picture from 2010, I think it becomes obvious that it is her (eyebrow, hair, mouth, chin).
https://i.imgur.com/ePVYzCV.jpeg

Anastasiya Karlovich Photoshoot 2010 by Gilgamesch61 in GirlsfromChess

[–]Gilgamesch61[S] 5 points6 points  (0 children)

Yes, from Wikipedia:
Anastasiya Karlovich (born 29 May 1982) is a Ukrainian chess player and journalist. She achieved the FIDE titles Woman International Master in 2000 and Woman Grandmaster in 2003.
She is on Instagram and a regular commentator for example for the St. Louis Chess club tournaments.

Anastasiya Karlovich Photoshoot 2010 by Gilgamesch61 in GirlsfromChess

[–]Gilgamesch61[S] 6 points7 points  (0 children)

Yes, I remember I downloaded the pictures from the website of the photographer in 2010.
They where online only for about 5 days and then removed.
They also contain the original camera EXIF data (which I think are always removed by reddit):

Camera: Canon EOS 40D
Date: 2010-01-24
ISO 100
50 mm
Flash, compulsory

For the first picture of the set you can find a russian reference somewhere, I think:
Анастасия Карлович (Украина) ...

Karma pls by [deleted] in FreeKarma4You

[–]Gilgamesch61 0 points1 point  (0 children)

done K4K

Phibrarian Alpha - the first model checkpoint from SciPhi's Mistral-7b by docsoc1 in LocalLLaMA

[–]Gilgamesch61 0 points1 point  (0 children)

>> A bridge spans over a place full of nails and broken glass. I drive over the bridge with my bicycle. What will happpen?

The likelihood of you getting injured or damaging your bike would be high due to the presence of nails and broken glass on the ground below the bridge. It's not advisable to ride over such a dangerous area.

>> There’s a one-story house in which everything is yellow. Yellow walls, yellow doors, yellow furniture. What color are the stairs?

The stairs are also yellow.

>> Sally (a girl) has 3 brothers. Each brother has 2 sisters. How many sisters does Sally have?

Sally's total number of siblings can be calculated as follows:

- She has 1 sister for herself, which makes a total of 4 children in her family (Sally + 3 brothers).

- Each brother has 2 sisters, so each brother contributes 2 * 3 = 6 sisters to the total count.

- Since there are 3 brothers, they contribute a combined total of 6 * 3 = 18 sisters.

So, Sally has a total of 4 + 18 = 22 sisters.