### Demographic charts

So, I’m pretty interested in the state of the world and how populations in wealthier countries are starting to fall. I was kind of looking at charts, population pyramid charts to be exact and I found that population pyramids, while interesting don’t show the decline in as interesting way as a line graph. So I took it upon myself to grab the info and change them into line graphs that can be viewed more easily. Below are a bunch for your perusal.

Working age population – WorldWorking age population – Canada

Working age population – Japan

Working age population – Least Developed Countries

Working age population – More Developed Countries

Working age population – Russian Federation

Working age population – United Kingdom

Working age population – United States

Population – World

Population – Canada

Population – Japan

Population – Least Developed Countries

Population – More Developed Countries

Population – Russian Federation

Population – United Kingdom

Population – United States

Population Percentage – World

Population Percentage – Canada

Population Percentage – Japan

Population Percentage – Least Developed Countries

Population Percentage – More Developed Countries

Population Percentage – Russian Federation

Population Percentage – United Kingdom

Population Percentage – United States

Working Population Percentage – World

Working Population Percentage – Canada

Working Population Percentage – Japan

Working Population Percentage – Least Developed Countries

Working Population Percentage – More Developed Countries

Working Population Percentage – Russian Federation

Working Population Percentage – United Kingdom

Working Population Percentage – United States

There we go, it’s pretty straightforward. You can click the labels on the side to turn on/off certain lines to highlight what you want to see. Clicking on a link will open new window, also, if you change the windows size, please refresh to make it fit your window. To explain we have a number of data sets here, population of a given region, percentage of population of a given region, population of people of working age of a given region and finally a percentage of the working population of a given region. I chose regions/countries that made sense to me. I could’ve picked China but I don’t trust their numbers on anything, even bad numbers. Enjoy!

I think one of the neat things to look at as a Canadian is the percentage based charts, particularly those of working age. I separated the charts out as a basis of percentage in groups from 0-14, 15-64 and 65+. You look at these things and you can see why we’re having some issues. For example, we here in Canada have 45% of the children we had in 1960 on a per capita basis. We also crossed the threshold of having more 65+ people than working age people back in 2010, the line was crossed for women back in 1988.

Another thing I see is that, for Canada, the percentage of adults goes up in bumps over the years but not so much for children. I suspect that is because despite having so much immigration in certain spots, even they are not having that many children either. That’s interesting to me as well.

Anyways, hope you enjoy. These charts are an interesting way to look at demographics in a different way from pyramid charts.

05.23.24### Resolutions for SD image generation

When making images for StableDiffusion it’s best to take the aspect ratio in mind and make it fit into the total number of pixels that the model was trained on. This results in the best images for that given model. So, for SDXL it’s 1024×1024, others it may be 768×768 or even 512×512. Here is a list of effective X and Y values to total up to the most common aspect ratios for various training sizes. Obviously you would reverse the values if you go y/x.

```
1024x1024
Aspect Ratio 4:3 - Resolution: 1182x886
Aspect Ratio 16:9 - Resolution: 1365x768
Aspect Ratio 21:9 - Resolution: 1564x670
Aspect Ratio 1:1 - Resolution: 1024x1024
Aspect Ratio 3:2 - Resolution: 1254x836
Aspect Ratio 5:4 - Resolution: 1144x915
Aspect Ratio 16:10 - Resolution: 1295x809
Aspect Ratio 2:1 - Resolution: 1448x724
Aspect Ratio 18:9 - Resolution: 1448x724
Aspect Ratio 32:9 - Resolution: 1930x543
Aspect Ratio 3:1 - Resolution: 1773x591
Aspect Ratio 4:1 - Resolution: 2048x512
Aspect Ratio 5:3 - Resolution: 1321x793
768x768
Aspect Ratio 4:3 - Resolution: 886x665
Aspect Ratio 16:9 - Resolution: 1024x576
Aspect Ratio 21:9 - Resolution: 1173x502
Aspect Ratio 1:1 - Resolution: 768x768
Aspect Ratio 3:2 - Resolution: 940x627
Aspect Ratio 5:4 - Resolution: 858x686
Aspect Ratio 16:10 - Resolution: 971x607
Aspect Ratio 2:1 - Resolution: 1086x543
Aspect Ratio 18:9 - Resolution: 1086x543
Aspect Ratio 32:9 - Resolution: 1448x407
Aspect Ratio 3:1 - Resolution: 1330x443
Aspect Ratio 4:1 - Resolution: 1536x384
Aspect Ratio 5:3 - Resolution: 991x594
512x512
Aspect Ratio 4:3 - Resolution: 591x443
Aspect Ratio 16:9 - Resolution: 682x384
Aspect Ratio 21:9 - Resolution: 782x335
Aspect Ratio 1:1 - Resolution: 512x512
Aspect Ratio 3:2 - Resolution: 627x418
Aspect Ratio 5:4 - Resolution: 572x457
Aspect Ratio 16:10 - Resolution: 647x404
Aspect Ratio 2:1 - Resolution: 724x362
Aspect Ratio 18:9 - Resolution: 724x362
Aspect Ratio 32:9 - Resolution: 965x271
Aspect Ratio 3:1 - Resolution: 886x295
Aspect Ratio 4:1 - Resolution: 1024x256
Aspect Ratio 5:3 - Resolution: 660x396
```

So, if for some reason you need to calculate this on your own for some future or past resolution, here is the Python.

```
from sympy import symbols, Eq, solve
# Define symbols
x, y = symbols('x y')
# Equation 1: Total pixel count remains constant
total_pixels = 512*512
# List of common aspect ratios as tuples (width, height)
aspect_ratios = [
(4, 3), (16, 9), (21, 9), (1, 1), (3, 2),
(5, 4), (16, 10), (2, 1), (18, 9), (32, 9),
(3, 1), (4, 1), (5, 3)
]
# Iterate over the aspect ratios and solve the equations
resolutions = []
for width_ratio, height_ratio in aspect_ratios:
# Equation 2: Aspect ratio
eq1 = Eq(x * y, total_pixels)
eq2 = Eq(x / y, width_ratio / height_ratio)
# Solve the equations
solution = solve((eq1, eq2), (x, y))
# Extract the resolution and convert to positive integers
resolution = (abs(int(solution[0][0])), abs(int(solution[0][1])))
resolutions.append((width_ratio, height_ratio, resolution))
# Print the results
for width_ratio, height_ratio, resolution in resolutions:
print(f"Aspect Ratio {width_ratio}:{height_ratio} - Resolution: {resolution[0]}x{resolution[1]}")
```

As always, I guarantee nothing. enjoy.

| Posted in Miscellaneous stuff, Programming | Comments Off on Resolutions for SD image generation

### An RTJ chart

Here is a chart for RTJ ring groove facings. It’s very specific to my own use case but maybe somebody else will find it useful. I guarantee nothing, if you use it, it’s at your own risk. Bottom width is the size at the bottom of the groove, Largest Ball is the largest ball that will sit tangent at the top of the groove, and well, Smallest is the one that will sit on the bottom and touch the two sides. Obviously you want to be somewhere between, not at, theses sizes. Also, the lists on the bottom denote the Depth, Width sets and the numbers that follow are the R sizes that match that set.

04.22.24### A new start

Well, one can always begin anew. The last site had some bugs, stuff accumulated over the course of 15 years. It should be said that I probably could have fixed the issue with a bit of elbow grease but I felt as though it’d be good to start something fresh and start updating again.

Anyways, Thanks for coming!

| Posted in Miscellaneous stuff | Comments Off on Demographic charts