Most common is antidepressants such as SSRIs like Prozac, etc. Can have REM sleep behavior disorder where you” act out”your dreams such as kicking and punching ( danger to bedmate). Definitely impairs memory and overall Unrested and daytime sleepiness.

You cannot plot ANY number with perfect precision on a number line. Each number is represented by only a single point on the line. A point is zero dimensional - it has no length, no width and no depth. We can mathematically determine where a point belongs on a number line, but we cannot actually plot such a point with perfect precision. This is true whether the number is rational or irrational.

Plotting a number on a number line (or any set of axes) is always an approximation. No matter how precise the tools we use to mark the spot, and no matter how fine the point of the actual marking device, the mark will always be infinitely larger than the actual point at issue. That is, there will always be an infinite number of points within the mark that are not the point that's intended to be marked.

That said, for just about any human endeavors, we can plot points with "good enough" accuracy.

0.33333... *is* a precise value. We just don't write all the 3's because we don't have infinite time but, mathmatically, that's *exactly* 1/3.

And we can easily plot that on a numberline. Take a line of length 1, bend it around until it forms an equilateral triangle (angles exactly 60 degrees), mark the corners, unfold it. Those marks are at *exactly* 1/3.

If you mean "can we do this in real life" the answer is "no" but that has nothing to do with the math, that has to do with our physical universe being discrete(ish) at very small scales. Number lines are purely theoretical constructs in the first place, the fact that we run out of good measuring tools with a physical number line doesn't change the math.

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The “mander” part of the name is from salamander as the resulting shape of districts can look more like a salamander than some rectangular, logical district layout.

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1. Ancient mines weren't very deep.
2. They used whatever lighting they had to see: oil lamps, torches, etc.
3. They did their best with ventilation shafts.
4. It was a nightmare.

Real numbers on a number line can (in theory) be plotted with as much precision as your number line.

If your number line has interval precision, then pi can be plotted somewhere between 3 and 4.

If your number line has n'th decimal place precision, then pi can be calculated to the n'th decimal and plotted.

An infinitely precise number line cannot exist in real life. Just how we can't calculate pi to infinite digits.

Oh I agree, a lot of programs look better on CRTs too, though many definitely are improved if on an modern LCD.

When I have to chill on the weed I get the worst dreams, it's either floating heads outside my window, spiders, or sleep walking. It'll always start the same, with me falling asleep but the dreams start with me in bed trying to fall asleep and then spooky shit happens. I'll jump out of bed, rip off the blankets looking for spiders and really piss of my girlfriend. At least she knows the difference between awake me and sleep walking me. Because only one of those throws shit around then room looking for the window screen to keep the heads out while accusing her of hiding it. May have called her a bitch.

That's not really the case here. Most of the suppliers for chip manufacturing are Japanese or American. However those suppliers will have field offices in Taiwan due to the large number of customers there.

Except that one African team where everyone died from the lightning strike

> You could, however, rig the field. If you split the 21 into groups so that it's 4a/3b, 4a/3b, 0a/7b, you can get A more representatives than B. This is gerrymandering.

Or you could get 3/4, 3/4, 2/5 and end up with a 0/3 divide in representatives.

It can go both ways.

While everything you said may or may not be true.

Tv shows/video games/movies were designed for the screens of the time. They designed them to look a certain way on the technology of the time. They look so different now because our technology is vastly different.

If you look at 16bit games on an old CRT it looks better than on a modern 4k TV.

The reason it doesn't go bad is the sterilization/canning process, not the glass container itself. The jar of salsa was sealed and heated to the point any microorganisms inside the sealed jar were killed and the fact it is sealed means no new microorganisms can get in preventing spoiling. Properly canned food can theoretically be safe to eat indefinitely as long as the seal isn't broken and it's kept somewhat cool though the texture/taste can definitely degrade.

Glass jars are just a convenient container for canning food in, but are not doing anything special to prevent spoiling.

I can relate. When I was smoking regularly I stopped dreaming altogether (or stopped remembering them), layed it off for a week and suddenly I get lucid dreams every other night.

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Didn't he OD?

We do know the precise values of √2 and 1/3. They are, well, √2 and 1/3. We can also calculate their decimal representations as accurately as we need to as well. The fact that their decimal representations are infinite is more a consequence of how we write numbers down than anything else. For instance, if we used a based 3 number system instead of base 10, 1/3 would be written as exactly 0.1.

If you have some brown cows and some black & white cows, you can put a whole fence around them and count them, but there's a lot of cows.

You can divide the cows into groups by fencing them and counting how many browns and b&w's in each section, then add up the sections.

You could say a whole fenced in section was mostly brown, and then count all the cows in there as brown. Same with the b&w's and if your sections are mostly one color over the other, ON AVERAGE the correct number of browns and b&w's show up in the final count.

Gerrymandering is strategically moving the fences without moving the cows, so that there's a change in the number of sections counted for one color, and it doesn't accurately reflect the real color split in the final count. This is not done by mistake, it must be intentional, there are an infinite number of ways to fence up a lot into groups.

The tell-sign of Gerrymandering is fences (County lines) that follow irregular or artificial boundaries. That's exactly what's needed to skew the color counts, it can be demonstrated with natural, smooth boarders, the number of sections counted for each color will be different.

Tl;Dr irregular sections can intentionally mask statical average within statistical variance. Voroni patterns reveal more accurate data.

Of course, good point! We indeed also try to answer questions like "if you have 10 people, split 6/4 or 7/3, how do you elect 2 representatives?", which are much harder to intuit an answer from compared to the case I described. No matter which way you swing that, you can't split equitably so you start finding other reasonable splits.

Well I know for me it's been a blessing, before I started smoking weed I would get the worst night terrors, things got a lot better when I stopped getting dreams I could remember, or any at all.

I'll use a relatively recent occurrence as an example.

The state legislature in Kansas has a GOP supermajority, meaning that the GOP has all the power. After the recent census, they had to redraw the district maps to reflect changes in the population.

The city of Lawrence is one of the largest Democrat dominant areas in Kansas. When the GOP redrew the district maps, they cut Lawrence into four parts that combined with other areas. The end result of this is that instead of one Democrat dominant district surrounded by GOP dominant districts there are now four GOP dominant districts and no Democrat dominant ones. The way the map is drawn is clearly biased and ridiculous by any standard, but it serves to further cement the power of the far-right GOP in a state which, were the will of the people to actually be reflected, would be very moderate.

Interesting thank you for enlightening me as well. 😀

Interesting thank you for enlightening me. 😀