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CompassRed

CompassRed@discuss.tchncs.de
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2 may be the only even prime - that is it’s the only prime divisible by 2 - but 3 is the only prime divisible by 3 and 5 is the only prime divisible by 5, so I fail to see how this is unique.

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OCB Virgin Slims are my go-to. They’re not quite as thin as Raw Blacks, but they have less of a taste in my experience. They also don’t tear as easily and stick more reliably than Raws. They’re not nearly as common as Raw Blacks, but they’re a far superior product in my opinion. It’s sad they aren’t more popular.

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This is just a continuous extension of the discrete case, which is usually proven in an advanced calculus course. It says that given any finite sequence of non-negative real numbers x,

lim_n(Sum_i(x_i^n ))^(1/n)=max_i(x_i).

The proof in this case is simple. Indeed, we know that the limit is always greater than or equal to the max since each term in the sequence is greater or equal to the max. Thus, we only need an upper bound for each term in the sequence that converges to the max as well, and the proof will be completed via the squeeze theorem (sandwich theorem).

Set M=max_i(x_i) and k=dim(x). Since we know that each x_i is less than M, we have that the term in the limit is always less than (kM^n )^(1/n). The limit of this upper bound is easy to compute since if it exists (which it does by bounded monotonicity), then the limit must be equal to the limit of k^(1/n)M. This new limit is clearly M, since the limit of k^(1/n) is equal to 1. Since we have found an upper bound that converges to max_i(x_i), we have completed the proof.

Can you extend this proof to the continuous case?

For fun, prove the related theorem:

lim_n(Sum_i(x_i^(-n) ))^(-1/n)=min_i(x_i).

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While that guy’s response to you was completely unacceptable, you should know that there are several reasons not to use the wiper fluid while moving: it obstructs your view of the road for a period of time, in most cases you can and should use the wiper fluid before you start driving (I realize this is not possible if the windshield gets dirty in transit), and it’s inconsiderate to other drivers - you don’t have to be tailgating someone to be hit with their dirty soap spray and in general it’s best not to piss people off on the road if you can avoid it.

It may be unreasonable to ask someone to pull off a highway to use their wiper fluid every time they hit a bug, but it isn’t unreasonable to ask someone to consider waiting until there is some free space behind them and it isn’t unreasonable to ask them to wait until they are at a stop sign or stop light (if one is coming up).

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The major determining factor in the time it takes you to get through the light is the number of cars ahead of you, not the amount of room you have for a run-up. What you’re talking about might save you a quarter second at the end of the day, but it more likely to not save any time at all and it unnecessarily contributes to traffic by reducing the effective carrying capacity of the road. There are also situations where hanging back can block a turn onto a minor road or into a parking lot and moving forward may let a person behind you turn off the road thus alleviating traffic. Ultimately, there is nothing you can do to make the person in front of you go faster, so just pull up as far as you safely can to make room for other people to join the queue or get around you.

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As I already mentioned, I’m not talking about situations where your windshield is suddenly obstructed since that situation is especially rare, so if you can see clearly enough to drive safely in the first place, then you can see clearly enough to evaluate your surroundings.

It seems obvious to me that spraying your windshield with soap obstructs your view for a moment, but I’ll admit that the occlusion is likely variable depending on the make and model.

I stand by the claim that it is safer to not use your wiper fluid while moving when possible. If you disagree, that’s okay. It’s a pretty minor point - there are many other driving habits that are far worse in my opinion.

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I don’t recall any socialized courier or food delivery services.

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It depends. If the variable names are arbitrary, then a map is best. If the variable names are just x_1, x_2, x_3, …, x_n, then a list or dynamic array would be more natural. If n is constant, then a vector or static array is even better.

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It’s not a bug just because the software doesn’t conform to your personal preferences. You’re asking for what would be considered an enhancement - not a bug fix.

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My point is that someone made the decision for it to do that and that the software works just fine as is. It’s not a bug, it’s just a weird quirk. The fact that they made the enhancement you requested doesn’t make the old behavior buggy. Your post title said “it’s not a bug, it’s a feature!”, but the behavior you reported is not accurately classified as a bug.

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