exasperation @ exasperation @lemmy.dbzer0.com

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You're right that using geometry and ratios is only good for a few digits of π. Some ancient mathematicians used to draw polygons on the inside and the outside of a circle, and then use the circumferences of those polygons as an upper or lower limit on what π was. Archimedes approximated π as being between 223/71 and 22/7, using 96-sided regular polygons.

The real breakthroughs happened when people realized certain infinite series converge onto π, where you add and/or subtract a series of smaller and smaller terms so that the only digits of the sum that changes with each additional term are already way to the right of the decimal point.

The Leibniz formula, proven to converge to π/4, is 1 - 1/3 + 1/5 - 1/7 + 1/9 - 1/11 . . .

So if you have a pen and paper, you can add and subtract each one in sequence, and eventually they get really small to where you're adding and subtracting numbers so small that it leaves the first few digits untouched. At that point you can be confident that the digits that can't change anymore are the right digits.

Later breakthroughs in new formulas made much faster convergences, so that you didn't have to make as many calculations to get a few digits. And computers make these calculations much, much faster. So today the computer methods generally use the Chudnovsky algorithm that spits out digits of 1/π, which can easily be converted to digits of π itself.

Except maybe Electrical engineers.

Yup, I can count just fine to the 10th number in a zero-indexed counting system: black, brown, red, orange, yellow, green, blue, violet, gray, white.

Yup, 100%. Gotta acknowledge the mixed bag.

It's almost certainly better today for anyone who is gay or trans than 30 years ago. We have a long way to go, and there may have been some backsliding in the last 5 years, but things are undeniably better today than in the 90's.

Certain aspects of race are better today. As recently as 1993, a majority of Americans still believed that interracial marriage should be illegal.

Food is way better. Back in the 90's, there wasn't a ton of variety in restaurants available in all except the biggest cities, and a lot of food trends were still boring with flavor (plus we were still in the low fat craze that made things taste worse). Even groceries were pathetic in comparison: fresh produce didn't have nearly as many choices, and was expensive, so most people were eating canned and frozen produce by default. Little things like being able to choose apples that weren't red delicious, or potatoes that weren't russets, tend to be taken for granted today.

Health and safety are better in most ways, but worse in some others. Obviously obesity and related diseases are worse today. So are some conditions like allergies, certain autoimmune disorders, certain cancers. But most cancers are less deadly today than 30 years ago. Traumatic injuries from workplaces and car accidents are down, and are better treated. And the huge diversity in the population for health means that a lot of people are living healthier than ever, even while a lot of people are less healthy than before. Life expectancy keeps creeping up in the cities, health expectancy seems to be up, too.

Air quality seems way better, with smog and acid rain pushed down with successful regulations. And people don't smoke as much anymore, especially indoors.

We can pursue our diverse interests from anywhere. If you drill down on pretty much any hobby, people who are really into that hobby have way more opportunities to share in that interest with people worldwide.

There's a bunch of bad stuff, too. But we should also appreciate the good things that have improved in recent times.

I appreciate the message, but I find this presentation style to be unbearable, like a shitty clickbait version of a TED talk: fast cuts with exaggerated audience reactions, playing hide the ball with the actual information being presented. And then they took what I imagine is a normal studio production designed for normal TV screens and cropped it into vertical video, published on Youtube as a short. Gross.

Plastics are a broad category. But specific plasticizers, like BPA, have been demonstrated to cause specific endocrine issues, up to and including a causal link to certain cancers, miscarriages, and other reproductive/immune issues. And it's not just correlations being found, as the research is showing the mechanism of action by actually inducing the effects in vitro.

And so when a particular plasticizer has been shown to be harmful, the research goes into other chemically similar plasticizers to see whether they have biological effects, as well. BPS is another plasticizer that is being studied, as it is chemically similar to BPA.

So we haven't shown that all microplastics are bad. I'm skeptical that these effects would extend to all plastics. But some common compounds that are present in many plastics are a cause for concern, and the difficulty in treating water or waste for microplastics in general means that some of those harmful compounds are present in lots of places where we'd rather not.

We moved from leaded gasoline to unleaded gasoline based on the specific dangers attributable to lead itself. We can do the same for the specific compounds in our plastics shown to be harmful. Maybe the end result is that we have a lot of safer plastics remaining. But your comment seems to suggest that we not even try.

The brushes and loofas also contribute to micro plastic pollution.

That just defines fruit. Vegetable has no formal definition, and in practice is defined basically as "parts of plants we eat that aren't considered fruits or nuts."

My body is a machine for turning the flashes of tiny little lights precisely arranged on a slab of glass into little taps of my thumbs on precise positions on that glass slab.

I eat a legume for pretty much every meal:

• Peanut butter on regular rotation for convenience foods
• Peas or beans or snap peas as a component in pasta dishes or salads
• Blanched peas or green beans as a vegetable side when I'm eating dinner with a main and sides separate.
• Edamame with Asianish noodle dishes, including instant ramen
• Snow peas or snap peas as a component in stir fries
• Beans in salads (things like kidney beans or black beans)
• Lentils or beans in fast casual rice bowls of a Mediterranean influence
• Some kind of lentil or chickpea dish with South Asian food.
• Beans with Mexican food because duh
• Dried beans with my braises (cassoulet, chili, other random assortments of ingredients in a braising pot/dutch oven), only you gotta be conscious of how dried beans don't cook properly in acidic environments.

I personally don't care for tofu. I'll eat it when it's a component of a dish I happen to already be eating, but I rarely seek it out to be the star of the dish I order or make, with only a few exceptions.

But adding legumes/pulses to your meals is an easy way to get more protein, including amino acids (like lysine) that aren't present in traditional grains like wheat or rice. And they're generally a good source of certain types of soluble fiber good for gut health. I'm also generally less hungry (and get full faster) when I'm eating plenty of fiber and protein, so legumes help with both of those.

I eat a lot, so I still eat a decent amount of meat overall, but as a percentage of my 3500-calorie diet it's probably smaller than the average Westerner.

Döner joints per km^2 is the most German unit I've ever encountered

Insane that people pay €14 for a bowl of rice...

I would imagine the expensive part isn't the rice.

Yes, but that's part of the humor, isn't it? Sarcasm works best when there's a nod towards (fake) sincerity.

That's basically Pete Holmes' origin story. His standup is good, his podcast is boring, but his 2-season series "Crashing" was probably the greatest TV show about standup comedy that I've seen.

I'm finding it shocking the number of comments that don't seem to realize that this is the joke.

the flushing kind or the hole in he ground kind?

Any kind. There's further breakdowns in access to flushing toilets, dry latrines, composting toilets, etc., but this is part of a long standing project to get people to stop open defecation in places where untreated human waste will mix into drinking water, food supply, etc.

India basically introduced toilets in a single generation.

According to this article, in 1993, 70.3% of the Indian population did not have access to toilets. By 2021, the number dropped to 17.8%. So literally more than half the population of India got access to toilets within 30 years.

Throw it away once it's cooled. If it's a solidified fat, you can just scrape it into the trash bag. If it's a liquid oil, then you can throw it into a disposable container (I have a million takeout soup containers on hand at any given time) so that it doesn't leak everywhere.

Oil is compostable, but only in proper ratios to the overall organic material being composted, so it's fair game to put into compostable containers for industrial composting, or maybe small quantities in your backyard compost, but I wouldn't recommend it unless you know what you're doing.

Around 10 years ago I switched to a specific big airline and started building frequent flyer status. Before that I was willing to do the regular budget airlines (Southwest, Frontier, JetBlue) for $100 savings or the ultra budget airlines (Spirit, Allegiant) for another $100 savings over that.

But I've had bad experiences with Frontier (canceled flight, next available flight not available for 3 days) and Spirit (more time on the tarmac than in the air). Both resulted in missed events (and for the Frontier flight I needed to just buy a last minute ticket, out of pocket, with another airline).

So now, when it's important for me to be on time, I tend to prefer airlines that have multiple flights per day between my origin and destination, and have some redundancy and resilience against the unexpected. There are still network effects that provide some major value, to where I'm generally willing to pay $200 more for flights on my preferred airline.

We made steampunk a reality by developing the technology to transfer steam power efficiently over long distances through metal wires.

That's not even a government thing. It's a finance/banking thing, as most major banks are still using mainframes and legacy COBOL code for most of their business logic.