*Magnify*
SPONSORED LINKS
Printed from https://www.writing.com/main/profile/blog/cathartes02/day/8-2-2020
Rated: 18+ · Book · Personal · #1196512
Not for the faint of art.
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 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

August 2, 2020 at 12:26am
August 2, 2020 at 12:26am
#989699
Over at 30DBC, they're still in Antarctica.

Go where your cruise ship can’t — hop aboard a small, sturdy inflatable boat and buzz between the icebergs and around the mountains...



...Another cool and unexpected aspect of this research center is the Vernadsky Station Lounge, one of the southernmost bars in the world. Try the vodka, which has been distilled on site.



But no, I'mma stay where it's warm.

https://www.mentalfloss.com/article/91594/theres-wire-above-manhattan-youve-prob...

There's a Wire Above Manhattan That You've Probably Never Noticed


It's hard to imagine that anything literally hanging from utility poles across Manhattan could be considered "hidden," but throughout the borough, about 18 miles of translucent wire stretches around the skyline, and most people have likely never noticed. It's called an eruv (plural eruvin), and its existence is thanks to the Jewish Sabbath.

Well, NOW people will notice.

On the Sabbath, which is viewed as a day of rest, observant Jewish people aren't allowed to carry anything—books, groceries, even children—in public places (doing so is considered "work"). The eruv encircles much of Manhattan, acting as a symbolic boundary that turns the very public streets of the city into a private space, much like one's own home. This allows people to freely communicate and socialize on the Sabbath—and carry whatever they please—without having to worry about breaking Jewish law.

You know what *actual* work is? Actual work is having to memorize the Tanach, Talmud and Midrash, and be expected to know every detail of not only religious law, but every possible interpretation of religious law. But no, my people don't see it that way; apparently studying these texts is one of the few things you *can* do on Shabbat.

Much of the interpretation of what is and is not acceptable between sunset Friday and sunset Saturday is the result of later texts trying to make sense of commandments in the Scriptures.

But I think they're missing something important, here, and I'm going to change the world with this entry.

New York City isn't the only metropolis in the U.S. with an eruv. They can also be seen (or not seen) in St. Louis, Atlanta, Baltimore, Chicago, Dallas, and numerous other cities across the country.

So, just to be clear here:

*Bullet* There are things that can be done on Shabbat and things that cannot be done, according to law and tradition.
*Bullet* There are things that can be done on Shabbat in the home that cannot be done outside the home.
*Bullet* One can extend the definition of "home" to one's neighborhood, as long as there is an eruv to serve as a boundary.
*Bullet* I think that's cheating, but I'm not a rabbi, so whatever.

With me so far? I might still be drunk from earlier, so let me know if I'm not being clear. It helps to read the linked article and maybe click on the video there.

So, here's my world-changing, earth-shattering proposition, which no one will listen to because I'm not actually a Talmudic scholar.

Take an eruv. That is, imagine that you're sitting in, I dunno, Central Park, and you're surrounded by an eruv.

Now. Imagine that eruv expanding. The area of "home" gets bigger and bigger. It grows to encompass New Jersey, Long Island, Connecticut. But don't stop there. Bigger. Even bigger than that. It stretches until it covers all of North America, South America, the Atlantic. But keep going. Bigger. Pretty soon it's the size of the circumference of the Earth.

But don't stop there, either. Now it starts getting smaller as it moves around to the other side of the planet. You're still on the inside, sitting there in Central Park, and the "outside" of the circle is smaller than the "inside."

You see where I'm going with this, right? Eventually, you've got an eruv in the middle of the Indian Ocean, and everything in the world except for maybe 10 square meters (just an arbitrary number) of ocean is inside the eruv, and then Jews all over the world, unless they are in that particular patch of ocean, can do anything they can normally do at home on Shabbat.

Of course, there's no reason to keep that eruv in the Indian Ocean. It would be tough to erect one underwater. Pick a spot, any spot. Say... I dunno... go to Antarctica (*shudder*). Put up ten poles (ten is an important number in Jewish lore). String an eruv around the poles. Then simply declare that the bulk of the globe of the Earth is inside, while everything else (a few square meters of desert) is outside.

There might be a few penguins who can't carry groceries on Shabbat, but honestly, penguins aren't known for carrying groceries around anyway.

There you go. And no, it's not cheating, any more than the eruv itself is cheating. Okay, so I'm not a rabbi, but I know a loophole when I see one, and that's a loophole. It's a simple matter of spherical geometry: any circle on the surface of a sphere has an "inside" and an "outside" only by convention and declaration. Take the equator, for example: Is the northern hemisphere "inside" or "outside" of the circle of the equator?

And if you think what I just said is a stretch (which, topologically speaking, it totally is), then you've obviously never read the Talmud.


© Copyright 2024 Robert Waltz (UN: cathartes02 at Writing.Com). All rights reserved.
Robert Waltz has granted Writing.Com, its affiliates and its syndicates non-exclusive rights to display this work.

Log in to Leave Feedback
Username:
Password: <Show>
Not a Member?
Signup right now, for free!
All accounts include:
*Bullet* FREE Email @Writing.Com!
*Bullet* FREE Portfolio Services!
Printed from https://www.writing.com/main/profile/blog/cathartes02/day/8-2-2020