4chan anon who made significant contribution to a math problem in order to find the best way to watch an anime

Looks like this one https://en.wikipedia.org/wiki/Superpermutation based on the content of the wikipedia article

Then go away and live your life. Let the people who are angry and energized yell at companies to try and get better conditions for consumers.

https://www.iso-ne.com/ Looking at my own region of New England, renewables are only at about 8% right now. And that includes burning wood, refuse, and landfill gas as renewable sources.

Given r=f(θ), we are generally not concerned with r′=f′(θ); that describes how fast r changes with respect to θ

You’re using the derivative of a polar equation as the basis for what a tangent line is. But as the textbook explains, that doesn’t give you a tangent line or describe the slope at that point. I never bothered defining what “tangent” means, but since this seems so important to you why don’t you try coming up with a reasonable definition?

I think we fundamentally don’t agree on what “tangent” means. You can use

x=f(θ)cosθ, y=f(θ)sinθ to compute dydx

as taken from the textbook, giving you a tangent line in the terms used in polar coordinates. I think your line of reasoning would lead to r=1 in polar coordinates being a line, even though it’s a circle with radius 1.

Given r=f(θ), we are generally not concerned with r′=f′(θ); that describes how fast r changes with respect to θ

I think this part from the textbook describes what you’re talking about

Instead, we will use x=f(θ)cosθ, y=f(θ)sinθ to compute dydx.

And this would give you the actual tangent line, or at least the slope of that line.

Polar Functions and dydx

We are interested in the lines tangent a given graph, regardless of whether that graph is produced by rectangular, parametric, or polar equations. In each of these contexts, the slope of the tangent line is dydx. Given r=f(θ), we are generally not concerned with r′=f′(θ); that describes how fast r changes with respect to θ. Instead, we will use x=f(θ)cosθ, y=f(θ)sinθ to compute dydx.

From the link above. I really don’t understand why you seem to think a tangent line in polar coordinates would be a circle.

A straight line in polar coordinates with the same tangent would be a circle.

I’m not sure that’s true. In non-euclidean geometry it might be, but aren’t polar coordinates just an alternative way of expressing cartesian?

Looking at a libre textbook, it seems to be showing that a tangent line in polar coordinates is still a straight line, not a circle.

The tangent of all points along the line equal that line

When you say red pill, do you mean this one?

The concept of red and blue pills has since been widely used as a political metaphor in the United States, especially among online hate culture, where “taking the red pill” or being “red-pilled” means becoming aware of purported political biases inherent in society … The supposed truths revealed to those who refer to themselves as “red pilled” often include conspiracy theories, as well as antisemitic, white supremacist, and misogynistic beliefs.

1. OWNERSHIP

By accepting these terms, you acknowledge and agree that you do not own or have any proprietary rights in the Game or any Mods you create, except as specifically mentioned here. Any Mods you create are your property only if they consist only of your original creative work. To the extent that any element of your Mod includes or is derived from the Game’s intellectual property (such as code, themes, characters, names, stories, dialogue, locations, artwork, sounds, music, and visual effects), you agree that all intellectual property rights therein, whether they are registered or not, are owned by Larian Studios and its licensors.

I’m not sure I believe you about your first point.

“Google” is just the generic term for a web search, kind of like how velcro means all hook-and-loop fasteners and xerox is a (photo)copy

Apex Legends is a battle royale, Gigantic and Battleborn are (were) more like MOBAs, Paladins and Dirty Bomb don’t work on linux. I haven’t played all of these games, but I don’t think they’re as interchangeable as you’re implying.

Looks like the back of someone’s head to me, but the picture is kind of blurry

In the United States, a straw purchaser of a firearm at a federally licensed firearm dealership who lies about the identity of the ultimate possessor of the gun can be charged with making false statements on a federal Firearms Transaction Record, which is a felony. Note that in this case, purchasing the item for another person is ipso facto illegal, regardless of that person’s status as a legal possessor.

from Wikipedia

I guess if you’re buying up a lot of guns with the intent to resell/distribute them, that would count as straw purchasing.

Aren’t we always?

Hey now, what did Microsoft’s Activision Blizzard King ever do to you?

Casting an Arcane Spell in Armor: A character who casts an arcane spell while wearing armor must usually make an arcane spell failure check. The number in the Arcane Spell Failure Chance column on Table 6–6 is the percentage chance that the spell fails and is ruined. If the spell lacks a somatic component, however, it can be cast with no chance of arcane spell failure.

https://aonprd.com/Rules.aspx?ID=361

It was a rule in Pathfinder, so presumably it was a rule in 3e.

I think it’s just that Discovery didn’t want to let it end. After Adam and Jamie left, they had like 2 more seasons with new hosts. I actually don’t know if the quality of the show dropped, I never really gave it a chance.

I see what you’re trying to say here, but the study gets its mileage data from the US Department of Transportation Federal Highway Administration’s (FHWA) 2002 highway statistics, so it’s an estimate of the total number of miles driven by each category of vehicle. I think the bigger problem with using this study to say that motorcycles are worse than cars is that the “3.77x more likely to kill a child per mile” is based on 4 deaths caused by motorcycles that year. We’re dealing with numbers so small that one accident caused or prevented could swing the “probabilities” wildly in different directions.

Here’s a link to the full study if you’re interested. You’re right that it doesn’t seem to cover injuries though.