there was a thing on hacker news a couple of months ago by a group that measures that... the TLDR is that hot liquids or hot materials against plastic during production does increase micro plastics in food, which makes sense. Obv, we still don't have a full understanding of the health implications.
also, I think the company here is being generous to themselves... mocha pots, and pretty much all pour overs are all plastic-free... they really aren't the first to do plastic-free
There is perfect agreement on the Gaussian integers.
The disagreement is on how much detail of the fine structure we care about. It is roughly analogous to asking whether we should care more about how an ellipse is like a circle, or how they are different. One person might care about the rigid definition and declare them to be different. Another notices that if you look at a circle at an angle, you get an ellipse. And then concludes that they are basically the same thing.
This seems like a silly thing to argue about. And it is.
However in different branches of mathematics, people care about different kinds of mathematical structure. And if you view the complex numbers through the lens of the kind of structure that you pay attention to, then ignore the parts that you aren't paying attention to, your notion of what is "basically the same as the complex numbers" changes. Just like how one of the two people previously viewed an ellipse as basically the same as a circle, because you get one from the other just by looking from an angle.
Note that each mathematician here can see the points that the other mathematicians are making. It is just that some points seem more important to you than others. And that importance is tied to what branch of mathematics you are studying.
The Gaussian integers usually aren't considered interesting enough to have disagreements about. They're in a weird spot because the integer restriction is almost contradictory with considering complex numbers: complex numbers are usually considered as how to express solutions to more types of polynomials, which is the opposite direction of excluding fractions from consideration. They're things that can solve (a restricted subset of) square-roots but not division.
This is really a disagreement about how to construct the complex numbers from more-fundamental objects. And the question is whether those constructions are equivalent. The author argues that two of those constructions are equivalent to each other, but others are not. A big crux of the issue, which is approachable to non-mathematicians, is whether it i and -i are fundamentally different, because arithmetically you can swap i with -i in all your equations and get the same result.
I don't think anyone thinks is "i and -i are fundamentally different". What they care more about is whether the 5 5th roots of 2 have an natural ordering or not.
I can criticise Australian urban planning for days ... but many visitors to Australia do effuse about how much outdoor recreational space we have and plan for.
First link has Australia, the country, at 32% obesity Vs. USofA at %41.6.
My only observations, having travelled in both, is that Australia like eveywhere has gotten more urban in past 20 years and I've got a feeling the percentage of Australians significantly past the technical bar of "obese" is very low compared to rates in the US of "well past" "just merely obese".
I'm not sure anyone's broken down the obesity quintile demographics.
I really dislike running for running's sake. But I love inline skating. Did a 20km route yesterday, did 43km a fortnight ago (which was admittedly too far for where my stamina is at). One of the things about skating (and this would also be true for cycling) is the different perspective it provides if you normally get around your local area in a car. You get to see the same places from radically different angles, depending on what paths are suitable to the mode of transport. Just going slower on or next to the road you get to see more detail, but footpaths and other tracks are often (possibly not the right terminology, but) 'off the beaten track'. In inner suburban Melbourne (whilst holidaying there) I chanced upon a relatively unpopulated footpath alongside a river / drain that took me 15km into the city, and it was (in parts) both peaceful and beautiful, despite really not being that far away from main roads / highways / freeways.
A lot of people like cycling, can be done individually or in any sized group.
Tennis is mostly individual (although an opponent is required), but I play in a team and enjoy the combination of singles, doubles, and an overall team result.
Football, soccer, rugby can be physically brutal, but are team sports that have a (forced) social aspect if that's an unmet need. Volleyball is a bit less intense. Table tennis. Lots of options for different sports that cater to different levels of physical stress.
Find a local park that has a basketball ring and just shoot hoops with yourself regularly. It at least gets you out of a chair and moving both arms and legs.
If you don't (think you) like any of those things, then you gotta do the hard yards to find that one rare thing you do like. It could just be something that you can find an appropriate level of progression that gives you 'that feeling'. I think that's what got me into skating late in life - I was terrible at it as a kid, but kinda forced into giving it another go as an adult, and within a couple of hours I was already better at it than in my childhood. It was a sense of accomplishment achieved in a relatively short term (= addicted? maybe).
Play soccer twice a week. It's high intensity cardio, normally 60-90 mins tops. Sometimes beers after. And actually fun. Even in a coed league or an adult (min age) league. It's a great time. Bonus points - you'll possibly look more athletic if you keep at it long enough and don't over indulge in those beers!
Kettlebells are the perfect middle ground for me. Dynamic movements, easy to incorporate strength gains, very little floor space required and one kettlebell is enough to get started. After a few years of kettlebells I feel like my lower back is made of titanium.
Downside is there is a fairly steep learning curve to use them without injury.
And importantly: stick with it for a few weeks before deciding whether you enjoy it. Virtually no one falls in love with the gym (or whatever fitness activity) the first time they walked in. Getting started isn't always fun. But over time it can become very rewarding.
> stick with it for a few weeks before deciding whether you enjoy it
I think this can be bad advice for people who may be predisposed to dislike exercise due to past experience or just straight up unfamiliarity.
More constructive is to think about what you don't enjoy about the activity and whether those are intrinsic qualities or can be changed. If they can be changed, change them.
Similarly, it's a good idea to think about things you know you enjoy that can be coupled with exercise. Add those things to your exercise environment to build up positive associations over time.
As a simple example: if you feel self-conscious about your body when you go to the gym you shouldn't try to just suffer through that feeling. Just workout somewhere where you don't feel self-conscious.
Nonsense. Running at an Olympic level and pushing the boundaries of what we've evolved for might leave its mark. But that is not what is being talked about here.
Ubiquiti could likely do more to keep their equipment out of Russia, but I also guess that Hunterbrook is doing this to manipulate some stock or for other selfish purposes.
Hunterbrook exposed that the distribution network for an American company, Ubiquti (allegedly), knowingly supplied Russia after the start of the Ukrainian war. Doing so in clear breach of sanctions.
US gear being used to facilitate attacks on Ukrainian civilians and military.
To say "Ubiquiti could likely do more..." is a massive understatement.
> Contrast Xenophon with Mary Beard, who studied at Cambridge and now teaches at Cambridge. She holds the same opinions as everyone else at Cambridge. She’s remarked before that, “I actually can’t understand what it would be to be a woman without being a feminist.” This seems like a peculiar failing for an ancient historian.
One can read old books to get a perspective on what "great" old writers think, and one can read Mary Beard to get the perspective of a "great" Cambridge don. You can even read writers that you don't agree with!
The "new books aren't worth reading" title is click-bait as is the rest of the article.
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