What happens when the depth of the hole exceeds the height of the knees

It’s hard to believe Skyrim is already 19 years old

Thank you! It is a privilege and a joy to have made such a remarkable improvement to your life!

Sadly the sum of all natural numbers is not actually -1/12. It’s a divergent sum. You could call it infinity.

There’s a little parlor trick that maths teachers like to perform where they do algebraic manipulation on a simple formula, eventually cancelling out the variables and arriving at some absurd statement like 1=2. The game is for the students to figure out what went wrong.

The trick is always that at some point, snuck into the progression, you ended up dividing something by “(X-X)” before moving on, seemingly without violating any algebraic rules. Very astute students (or ones who were warned by students from earlier classes haha) will notice that right at that point in time, you are in fact attempting to divide by zero, which is not possible.

So the reason you ended up with 1=2 is because you applied rules to something which they definitionally cannot apply to. At that point, the equation became undefined.

…the funny thing though, is you were able to just…continue. And get something to come out. Now, in this case, that thing was utter nonsense. An amusement for children to help teach them of various pitfalls they might fall into when playing with numbers.

But what if you were one of the most brilliant mathematicians who ever lived, and you were concerning yourself with questions such as,

“What would happen if I took [1 + 2 + 3 + 4+ 5….], and subtracted [1 + 1/2 + 1/3 + 1/4 + 1/5…]”

Now, those are both divergent sums. So we could just call them both infinity. But the second infinity just kind of…feels smaller, doesn’t it? It feels like you should be able to just…perform some type of operation and get…something to come out.

It wouldn’t be “correct” to do so, but this is basically what Ramanujan did. Illegal math. With a nonsense output of negative -1/12.

The funny thing though is that this “nonsense output” is actually now a cornerstone of quantum mechanics. It turns out we subtract diverging infinites from each other literally all the time, even just by walking around, and that pesky little -1/12 trick has proven to be consistently useful. Astonishing.

He died a preventable death at 32. Imagine what the world might have looked like today if only he could have dreamed a little longer, asked more impossible questions, and broken more rules. Specifically he died after a bout of dysentery, in case anyone is confused why they’re reading all this in the shit posting community

As the other commenter said, biking is cardio. It has many overlapping benefits with heavy circles (resistance training), but they each have some unique benefits and they grant you those benefits through different biological mechanisms. So doing one or the other is very good, and doing both is extremely good.

American heart association has a very good breakdown of the benefits of cardio. They recommend 150 minutes per week of moderate intensity cardio (biking slower than 10mph/16kph) or 75min per week of intense cardio (faster than 10mph) to fully cash in on those benefits.

On a personal note: before “taking the plunge” with any form of exercise, most people experience the same form of “temporal sticker shock” that you’ve expressed concern with. The “need to reserve time” for it.

It’s very deceptive though, because the short time you invest into it actually gives back so much more time to your life. Like multiple extra hours per day, every day, where you feel refreshed, energetic, and capable of pursuing your passions fully. It’s extremely worth the time you spend upfront

Heavy circles proven to reduce osteoporosis, sarcopenia, likelihood of falling in old age, likelihood of getting injured if you fall, metabolic syndrome, heart disease, and even depression. You can pretty much cash in all of these benefits in 2 hours per week flat

I hate when my stomach huarn surnog

Yeah you’re probably right. I was just looking right above the highest point of the cat’s back where there’s a missing dot. In one image there’s four that form a square, in the other the bottom right dot is missing

Zooming in now tho it looks like the image with the darker cat is heavily compressed, so that particular dot probably just got lost in the process

Different details on the back wall too. Very strange. Possibly at some point someone ran it through an AI filter to get it to look like their cat?

Oof, this is a little too intense. Could we get a version where a relatively thin red line is striking through the word “kill”?

Nah don’t apologize, your posts slap harder than his balls in my face

I was reading some breakdown recently, forget if it was the CDC or whoever, but basically they found that the vast majority of Americans were totally good on vitamin D when tested despite survey results indicating people didn’t get enough from their diet generally. This was attributed to sun exposure

Then I looked it up and in many cases you get your full dose of vitamin D from the sun in literally a few minutes lol. Honestly I think the whole supplement industry in general is just a very successful scam

Edit: found it, section of note is vitamin d intakes and status.

evidence suggests that the majority of people have sufficient serum concentrations of vitamin D based on the thresholds set by the Food and Nutrition Board

If your doctor literally told you to take it then that’s great. The constant fear mongering among the general public about supplements is the scam

https://ods.od.nih.gov/factsheets/VitaminD-HealthProfessional/

I go to hug my wife for comfort. She too is AI

To tell if it’s a big or small banana

Yeah solving it without following any method probably actually requires you to be a genius or something lol

I love the established speedcubing strategies tho, it basically changes it from being a puzzle you’re trying to solve into being similar to a rogue-like video game where you get a new “map” each time. Totally different skillset but also super rewarding in its own way

Presumably caused by people browsing on their blow-off-some-steam deck

Dead in 20 minutes tops

The fact we can see the kid at all is actually pretty impressive for american trucks

Almost a full kg of sugar if the display case had 48 bars

Did she ever come back around on you? If only we could explain things to them haha