About This Author
Come closer.
Complex Numbers
Complex Numbers

A complex number is expressed in the standard form a + bi, where a and b are real numbers and i is defined by i^2 = -1 (that is, i is the square root of -1). For example, 3 + 2i is a complex number.

The bi term is often referred to as an imaginary number (though this may be misleading, as it is no more "imaginary" than the symbolic abstractions we know as the "real" numbers). Thus, every complex number has a real part, a, and an imaginary part, bi.

Complex numbers are often represented on a graph known as the "complex plane," where the horizontal axis represents the infinity of real numbers, and the vertical axis represents the infinity of imaginary numbers. Thus, each complex number has a unique representation on the complex plane: some closer to real; others, more imaginary. If a = b, the number is equal parts real and imaginary.

Very simple transformations applied to numbers in the complex plane can lead to fractal structures of enormous intricacy and astonishing beauty.




Merit Badge in Quill Award [Click For More Info] Congratulations on winning Best Blog in the 2021 edition of [Link To Item #quills] !
Merit Badge in Quill Award [Click For More Info] Congratulations on winning the 2019 Quill Award for Best Blog for [Link To Item #1196512] . This award is proudly sponsored by the blogging consortium including [Link To Item #30dbc] , [Link To Item #blogcity] , [Link To Item #bcof] and [Link To Item #1953629] . *^*Delight*^* For more information, see [Link To Item #quills] . Merit Badge in Quill Award [Click For More Info] Congratulations on winning the 2020 Quill Award for Best Blog for [Link To Item #1196512] . *^*Smile*^* This award is sponsored by the blogging consortium including [Link To Item #30dbc] , [Link To Item #blogcity] , [Link To Item #bcof] and [Link To Item #1953629] . For more information, see [Link To Item #quills] .
Merit Badge in Quill Award 2 [Click For More Info] 2022 Quill Award - Best Blog - [Link To Item #1196512] . Congratulations!!! Merit Badge in Quill Award 2 [Click For More Info] Congratulations! 2022 Quill Award Winner - Best in Genre: Opinion *^*Trophyg*^* [Link To Item #1196512] Merit Badge in Quill Award 2 [Click For More Info] Congratulations!! 2023 Quill Award Winner - Best in Genre - Opinion *^*Trophyg*^* [Link To Item #1196512]
Merit Badge in 30DBC Winner [Click For More Info] Congratulations on winning the Jan. 2019 [Link To Item #30dbc] !! Merit Badge in 30DBC Winner [Click For More Info] Congratulations on taking First Place in the May 2019 edition of the [Link To Item #30DBC] ! Thanks for entertaining us all month long! Merit Badge in 30DBC Winner [Click For More Info] Congratulations on winning the September 2019 round of the [Link To Item #30dbc] !!
Merit Badge in 30DBC Winner [Click For More Info] Congratulations on winning the September 2020 round of the [Link To Item #30dbc] !! Fine job! Merit Badge in 30DBC Winner [Click For More Info] Congrats on winning 1st Place in the January 2021 [Link To Item #30dbc] !! Well done! Merit Badge in 30DBC Winner [Click For More Info] Congratulations on winning the May 2021 [Link To Item #30DBC] !! Well done! Merit Badge in 30DBC Winner [Click For More Info] Congrats on winning the November 2021 [Link To Item #30dbc] !! Great job!
Merit Badge in Blogging [Click For More Info] Congratulations on winning an honorable mention for Best Blog at the 2018 Quill Awards for [Link To Item #1196512] . *^*Smile*^* This award was sponsored by the blogging consortium including [Link To Item #30dbc] , [Link To Item #blogcity] , [Link To Item #bcof] and [Link To Item #1953629] . For more details, see [Link To Item #quills] . Merit Badge in Blogging [Click For More Info] Congratulations on your Second Place win in the January 2020 Round of the [Link To Item #30dbc] ! Blog On! *^*Quill*^* Merit Badge in Blogging [Click For More Info] Congratulations on your second place win in the May 2020 Official Round of the [Link To Item #30dbc] ! Blog on! Merit Badge in Blogging [Click For More Info] Congratulations on your second place win in the July 2020 [Link To Item #30dbc] ! Merit Badge in Blogging [Click For More Info] Congratulations on your Second Place win in the Official November 2020 round of the [Link To Item #30dbc] !
Merit Badge in Highly Recommended [Click For More Info] I highly recommend your blog. Merit Badge in Opinion [Click For More Info] For diving into the prompts for Journalistic Intentions- thanks for joining the fun! Merit Badge in High Five [Click For More Info] For your inventive entries in [Link To Item #2213121] ! Thanks for the great read! Merit Badge in Enlightening [Click For More Info] For winning 3rd Place in [Link To Item #2213121] . Congratulations!
Merit Badge in Quarks Bar [Click For More Info] For your awesome Klingon Bloodwine recipe from [Link to Book Entry #1016079] that deserves to be on the topmost shelf at Quark's.
Signature for Honorable Mentions in 2018 Quill AwardsA signature for exclusive use of winners at the 2019 Quill AwardsSignature for those who have won a Quill Award at the 2020 Quill Awards
For quill 2021 winnersQuill Winner Signature 20222023 Quill Winner



March 19, 2020 at 12:13am
March 19, 2020 at 12:13am
#978494
I'm sure you'll all use all that toilet paper. Eventually.

https://nymag.com/intelligencer/2020/01/buying-in-bulk-when-is-it-a-mistake.html...

When Buying in Bulk Is a Mistake


I like the way Andrew Tobias talks about bulk buying in The Only Investment Guide You’ll Ever Need: You can think of each bulk purchase as an investment, with a return equal to the savings you accrue by not paying a higher unit price for smaller purchases. If you lay out $110 today to buy a 12-bottle case of wine you’ll drink over the next month, instead of buying bottles one at a time for $10 each, that’s like earning a $10 return on a $110 investment in one month. On an annualized basis, that’s a rate of return well over 100 percent — far better than the stock market.

Stuff and nonsense.

For starters, as much as I like wine, I recognize that it's not a necessity. "If you lay out $110 today to buy a 12-bottle case of wine," then you have spent $110. While I agree that this is better than spending $120 on 12 bottles of wine, it is not an investment; it's an expenditure.

Also, this article is from January. Everything is far better than the stock market now (at least in the short term).

But that analysis relies on a few assumptions, the most important being that you will use the items you purchase. If you let products spoil, or you decide you don’t like them anymore halfway through the box, or if you forget what drawer your huge package of batteries is in, then you’re not getting as much value out of your bulk purchase as you had planned.

That's not the most important assumption; the confusion of "spending" and "investing" is. But going with it, using the wine as an example, if you're drinking a case of wine every month like the article stipulates, sure, that $10 you're saving is probably worth it. But contrary to popular belief, most wines don't get better with age; they spoil just like any other consumable. If your consumption is one a month, then by the time you get through the case, the last bottle may well taste a bit off.

And let me just throw another curveball at the bulk-buying thing: poverty. Assuming you're poor but still want wine (for which you can get a better deal than $10 a bottle), you probably don't have $110 sitting around just begging to purchase wine. Maybe you have $10 left at the end of every paycheck, if you're lucky. So you can only buy one bottle at a time.

In other words, it may be cheaper overall, but people living paycheck to paycheck simply don't always have that luxury.

Fortunately, toilet paper doesn't spoil. It does suffer from overabundance losses, though -- if you have a lot of something, you tend to value it less, so you waste more of it. This can be overcome with discipline, but given all the loo roll memes floating about, it looks like at least some people bought 20,000 rolls of bumwad and proceeded to cover their house with some of them because it was there and we have plenty. This is more than just a waste of money (unless you consider your 15 seconds of internet fame to be an effective deployment of capital); it's a slap in the face to people who legitimately needed Charmin and the stores were out because of your fear and greed, you fucking monsters.

Time is money, and if you’re tying up your money in bulk products for many years instead of weeks, a 10 or 20 or even 100 percent return may no longer look attractive compared to keeping your money in the bank or the stock market.

Again, dubious math. Money certainly has a time value, but, in defense of bulk purchases that do make sense, there's this thing called "inflation." It means that most products increase in cost over time. Not all, of course, and not always smoothly, but it might make sense to stock up at lower prices. The trick there is being right about the price increasing. And then, of course, when you finally do run out, the price has gone up anyway.

Author goes on to examine the additional problems with bulk purchases for someone living in a closet in Manhattan, which I will excuse because this is, after all, a magazine called New York (not to be confused with the stylistically problematic New Yorker).

I did get a good per-ounce deal on the pound of Tellicherry peppercorns that I bought a decade ago and will probably still be working through during the Donald Trump Jr. administration.

Oh, hey, an optimist.

I think I've found the secret to getting something actually published: take a thing that people are doing, and put out an argument for doing exactly the opposite. Maybe I can do that with the Marie Kondo crap that this author keeps referencing. As we're clearly headed for another Great Depression, the time is probably right to tout the value of keeping things around for when you need them.

Prime takeaways here:

*Bullet* Spending is never investing. The sooner you internalize this, the better.
*Bullet* Thinking before you buy is a good idea whether it's bulk or not.
*Bullet* Apparently, some magazines will pay actual money for crap articles. Maybe even in bulk.


© Copyright 2024 Waltz en France (UN: cathartes02 at Writing.Com). All rights reserved.
Waltz en France has granted InkSpot.Com, its affiliates and its syndicates non-exclusive rights to display this work.
... powered by: Writing.Com
Online Writing Portfolio * Creative Writing Online