Search where?

This Portfolio (cathartes02)

All of Writing.Com

◄ June ►
S	M	T	W	T	F	S
						1
2	3	4	5	6	7	8
9	10	11	12	13	14	15
16	17	18	19	20	21	22
23	24	25	26	27	28	29
30
Archive				RSS

Offsite Blogs

· Waltz Travel Blog

Create New Item

Read & Review

Community

Browse By Type

Browse By Genre

Writing Resources

Tuesday, Jun. 25, 2024

8:34pm EDT

Members: 945

Guests: 1,210

Total Online: 2,155

Complex Numbers

by Robert Waltz

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.

http://www.ddewey.net/mandelbrot/

Signature for Honorable Mentions in 2018 Quill Awards

A signature for exclusive use of winners at the 2019 Quill Awards

Signature for those who have won a Quill Award at the 2020 Quill Awards

Previous ... 18 19 20 21 -22- 23 24 25 26 27 ... Next

Show Recent Comments

10 Most Recent Blog Comments:

Anni Pon

about 11 hours ago
In response to "Can't Spell Success without Sucs"

I've never heard anyone say, "That guy is so successful, but he doesn't really make much money." Or anything similar. Sure, you can have a positive impact on the world without making lots of money, but people won't call it success.

1 Like

Annette

Jun 23, 2024 at 1:28pm
In response to "Revisited: "Experience""

This is how I coped:

1 Like

Elisa: Middle Aged Stik

Jun 23, 2024 at 9:51am
In response to "Revisited: "Experience""

Not gonna lie I kinda miss Zoom parties, at least for this community since people on WDC are so spread out. Meeting in person is pretty tricky and/or expensive. It's certainly more socializing than I've been doing regularly since, oh, 2022 or so.

As for server migration, well, I work in the IT world. I've been through that. And honestly, server migration is a bit nerve wracking, as some stuff can go missing. It's still more manageable than a complete redesign. Complete redesigns are awful. You can test in different environments that the public can't see till kingdom come, but things always go wrong when the public version is rolled out. A local grocery store recently redid their website, and the old site held thousands of recipes. When the new site was unveiled, none of those recipes made it over. I ended up reaching out on Messenger and was able to get a copy of a recipe I use somewhat often, but I'm kind of annoyed that the text recipes are currently MIA because somehow that data didn't transfer with the site rebuild. Absolute madness.

1 Like

Wordsmitty ✍️

Jun 22, 2024 at 5:56pm
In response to "Discomfort Zone"

Just so everyone is clear:

- There are credit cards and debit cards and even cash cards. They are treated differently by different places as some prefer debit and cash over credit (which usually chrages the merchant more).

- As Annette mentioned, using text and wi-fi is best and usually cheap or free included most US phone plans. However, 'data' outside N. America is not. If you want to wander streets and go hiking and check maps or GPS in Europe, make sure you have a data plan for Europe. That's where the thousands of dollar charges come in if you don't have that. Voice also is usually extra. So if you plan on a lot of talking, get a plan for that, too. (As I recall without an additional plan for Europe, standard charges were 25 or 50 cents for each text and and a dollar minute for voice.)

- On phones, you may have to turn on or unlock the ability to use European system as it communicates differently than the one used in the US. T-Mobile does have good info explanaing that and data plans once you find it on their site. I think there was a search to input your phone make & model to show you what will make it work outside N. America.

1 Like

Elisa: Middle Aged Stik

Jun 22, 2024 at 5:08pm
In response to "Discomfort Zone"

Funny thing is, everyone mentions day to day spending in cash, but I don't recall seeing a single person in the Netherlands use cash in the grocery store. I was in a couple different grocery stores and a convenience store outside normal tourist areas, and cards were preferred. Even in museums there were readers to get donations from cards instead of having boxes out to drop off cash donations. This may be less of a thing in smaller communities, but I do feel like some of the larger (non-tourist) communities are going cash free. The pandemic's legacy of contactless payments sure has been a weird one.

1 Like

Annette

Jun 22, 2024 at 4:51pm
In response to "Discomfort Zone"

I think that SIM card thing is over now. Check it out though. I didn't change my SIM card and I my bill was the exact same as always. I did only use texting and wi-fi though.

1 Like

Robert Waltz

Jun 22, 2024 at 4:46pm
In response to "Discomfort Zone"

Annette

, merci, tu as raison.

I have a pretty recent Samsung phone, and T-Mobile, but I seem to remember something about a different SIM card or activation or something. Easy enough to find out. I know there were horror stories for a while about people traveling and getting hit by surprise roaming fees in the thousands of dollars, so that would be something to avoid.

Thinking about going this autumn, because like you said, it's not summer. Also, hopefully fewer free-range tourist kids. One of the many great things about being me is that I have some flexibility, so I don't yet know exactly when.

1 Like

Annette

Jun 22, 2024 at 3:49pm
In response to "Discomfort Zone"

les bières en France sont mieux = meilleures (plural feminine beers)

The last time I went to France, I brought my Samsung Galaxy S8 and it worked perfectly for Google maps. I don't know what kind of phone you have, but if it's from 2018 or newer, you shouldn't have a problem with that.

I use T-Mobile and their plan includes sending text messages and using the internet (where available) without any upcharge. It's not a fancy plan, so I think it's a standard.

I don't know what kind of credit card you use, but Visa or MasterCard seem to be preferred to the others. I haven't had any problems using credit cards to rent cars or whatnot. I like to exchange some cash for small day to day purchases. It makes things easier and more fun too. Although I still think that the Euro looks like Monopoly money with its fake bridges on it.

When do you plan to go? I know, you said before your passport expires, but what does that mean?

Also, don't go in summer. It's too hot and they don't have air-conditioning. Anywhere!

1 Like

Robert Waltz

Jun 22, 2024 at 2:11pm
In response to "Discomfort Zone"

Thanks, Wordsmitty ✍️

, very helpful. Though I don't use ATMs at all, it shouldn't be a problem to set things up so I can do so. And yes, my CC specifically doesn't charge foreign transaction fees (they just don't do their usual cash-back with non-US transactions, which I can live with).

As for the local servers thing, as long as it's in French, I can manage. Or I can probably get a VPN for the phone.

Wordsmitty ✍️

Jun 22, 2024 at 2:03pm
In response to "Discomfort Zone"

Here's a few things that may help:

- Some places do require a PIN with the credit card like automated train ticket machines and such. Always good to make sure you verify your PIN before you leave.

- Some credit cards don't have foreign transaction fees to convert to US dollars. Check your credit card T&C or find a better cc.

- You probably know to never make the credit charge in US dollars if there's an option or they ask you. Make it in local currency.

- We get some local cash from an ATM before we leave the airport so we have it if needed. Also, some US banks and credit unions have a monthly allowance that reimburse ATM fees up to an amount each month (~$10 usually). Since it's cash, there's no conversion fee like charged with credit card transactions. Never use a credit card to get cash.

- Paying cash for little things along with knowing some of the language helps with the 'visitor' image.

- When connecting to the internet in Europe, you'll probably get local servers for Google and it will come up in the local language.

Have fun

1 Like

#639. For Calvin & Hobbes fans
ID #699718 entered on June 20, 2010 at 9:36pm

#638. I Was Made for You
ID #698720 entered on June 9, 2010 at 9:01pm

#637. Lost in the Flood
ID #697319 entered on May 25, 2010 at 9:53pm

#636. Never the Twain
ID #697145 entered on May 24, 2010 at 2:23pm

#635. EPIC WANT
ID #696518 entered on May 17, 2010 at 4:04pm

#634. One pill makes you larger
ID #694918 entered on May 1, 2010 at 11:43pm

#633. Glad I'm not Walter
ID #694817 entered on April 30, 2010 at 11:52pm

#632. Nothing's unforgiven in the four corners of Hell
ID #694678 entered on April 29, 2010 at 4:05pm

#631. Took the train down to Athens
ID #694567 entered on April 28, 2010 at 4:43pm

#630. It's a busy life in Camelot
ID #694454 entered on April 27, 2010 at 3:51pm

#629. Cheap Plastic Buddha
ID #692476 entered on April 6, 2010 at 10:00pm

#628. And My Machine, She's a Dud
ID #692198 entered on April 3, 2010 at 10:03pm

#627. Sitting in my Tin Can
ID #692102 entered on April 2, 2010 at 8:24pm

#626. Don't Look Back
ID #691997 entered on April 1, 2010 at 4:27pm

#625. This Song's Just Six Words Long
ID #686318 entered on February 3, 2010 at 4:55pm

#624. And if your head explodes with dark forbodings too
ID #686222 entered on February 2, 2010 at 9:03pm

#623. Is This Thing On?
ID #686020 entered on February 1, 2010 at 1:00pm

#622. The Light that Never Warms
ID #682283 entered on January 3, 2010 at 10:13pm

#621. I like to think I can be so willed
ID #682107 entered on January 2, 2010 at 12:47pm

#620. All Your Sanity and Wits, They Will All Vanish...
ID #681929 entered on January 1, 2010 at 5:05am

#619. Goals
ID #681673 entered on December 31, 2009 at 12:24am

#618. Enjoy this Christmas
ID #680955 entered on December 24, 2009 at 10:55pm

#617. A Dish Best Served Cold
ID #680825 entered on December 23, 2009 at 2:10pm

#616. Something about Snow
ID #680676 entered on December 22, 2009 at 1:00am

#615. 50 questions
ID #680464 entered on December 19, 2009 at 11:19pm

#614. Wrongness
ID #680226 entered on December 17, 2009 at 4:13pm

#613. It's Time For...
ID #679569 entered on December 11, 2009 at 4:03pm

#612. No.
ID #679384 entered on December 9, 2009 at 11:27pm

#611. Run Like Hell
ID #679006 entered on December 7, 2009 at 2:37pm

#610. There's a pill for that.
ID #678219 entered on November 30, 2009 at 9:10pm

#609. New Year's Eve
ID #678092 entered on November 29, 2009 at 9:40pm

#608. Gift Ideas
ID #677981 entered on November 28, 2009 at 10:26pm

#607. This is It
ID #677855 entered on November 27, 2009 at 8:05pm

#606. No Thanks
ID #677726 entered on November 26, 2009 at 12:11pm

#605. Two Thumbs Up
ID #677249 entered on November 22, 2009 at 8:39pm

#604. Cat stuff
ID #676789 entered on November 18, 2009 at 9:14pm

#603. You're Putin me on
ID #676213 entered on November 14, 2009 at 11:50pm

#602. Sniff
ID #674783 entered on November 4, 2009 at 10:39pm

#601. Need a Laugh?
ID #674606 entered on November 3, 2009 at 6:48pm

#600. The Advantage of Marriage
ID #674458 entered on November 2, 2009 at 11:01pm

#599. NaNo?
ID #674278 entered on November 1, 2009 at 10:53pm

#598. Born a 13th Child
ID #674068 entered on October 31, 2009 at 10:30pm

#597. Backwards
ID #673527 entered on October 27, 2009 at 5:52pm

#596. Penance
ID #673417 entered on October 26, 2009 at 10:55pm

#595. It was inevitable.
ID #673295 entered on October 26, 2009 at 1:22am

#594. Epic Fail
ID #673015 entered on October 23, 2009 at 5:41pm

#593. No, seriously, it really DOES suck.
ID #671757 entered on October 14, 2009 at 6:56pm

#592. Tickets!
ID #670952 entered on October 8, 2009 at 3:37pm

#591. It bears repeating.
ID #670532 entered on October 5, 2009 at 9:40am

#590. Health
ID #669479 entered on September 27, 2009 at 1:08pm

#589. Wish me luck
ID #669387 entered on September 26, 2009 at 7:22pm

#588. Doubleya. Tee. Eff?
ID #668764 entered on September 21, 2009 at 10:11pm

#587. May the Source be with you
ID #668027 entered on September 16, 2009 at 7:22pm

#586. Random Thoughts
ID #667879 entered on September 15, 2009 at 6:59pm

#585. Winter is coming.
ID #667767 entered on September 14, 2009 at 9:13pm

#584. Gimme five!
ID #667299 entered on September 11, 2009 at 12:56am

#583. To the nines!
ID #667102 entered on September 9, 2009 at 8:01pm

#582. Health Care Reform
ID #666135 entered on September 2, 2009 at 8:57am

#581. It's Not The Bill
ID #665845 entered on August 30, 2009 at 11:53pm

#580. Something to Think About
ID #665047 entered on August 24, 2009 at 11:59pm

#579. Woodstock
ID #664184 entered on August 18, 2009 at 8:54pm

#578. Tonight
ID #663190 entered on August 11, 2009 at 3:35pm

#577. True Story
ID #663099 entered on August 10, 2009 at 11:13pm

#576. What part of "Don't Feed the Bears..."
ID #662907 entered on August 10, 2009 at 9:24am

#575. Links are Back!
ID #662640 entered on August 7, 2009 at 3:58pm

#574. No Links
ID #662377 entered on August 5, 2009 at 11:10pm

#573. From the Department of Really Bad Ideas
ID #662250 entered on August 4, 2009 at 11:55pm

#572. Useless
ID #661573 entered on July 30, 2009 at 11:41pm

#571. Everybody Needs One
ID #660974 entered on July 27, 2009 at 12:27am

#570. It's All Over, I Tell You
ID #660388 entered on July 22, 2009 at 3:55pm

#569. Geek Furniture
ID #659865 entered on July 19, 2009 at 9:37am

#568. Forty years...
ID #659393 entered on July 16, 2009 at 2:01pm

#567. Quidditch, anyone?
ID #659205 entered on July 15, 2009 at 10:04am

#566. I was right.
ID #658465 entered on July 9, 2009 at 8:39pm

#565. Randomness
ID #658132 entered on July 7, 2009 at 3:07pm

#564. Anthems
ID #657709 entered on July 4, 2009 at 12:53pm

#563. It lives!
ID #657167 entered on June 29, 2009 at 11:10pm

#562. Invention
ID #656750 entered on June 28, 2009 at 4:50pm

#561. I read the news today, oh boy...
ID #655820 entered on June 23, 2009 at 12:45pm

#560. And so it ends.
ID #655693 entered on June 22, 2009 at 3:14pm

#559. Summer
ID #655613 entered on June 21, 2009 at 10:19pm

#558. Exorcism
ID #655471 entered on June 20, 2009 at 9:24pm

#557. Not long enough...
ID #655314 entered on June 19, 2009 at 4:06pm

#556. Headline FAIL
ID #655117 entered on June 18, 2009 at 11:41am

#555. Unhappily Ever After
ID #654992 entered on June 17, 2009 at 7:44pm

#554. EEEIEUUU!
ID #654830 entered on June 16, 2009 at 8:44pm

#553. In Brightest Day...
ID #654651 entered on June 15, 2009 at 4:37pm

#552. Nerdview
ID #654521 entered on June 14, 2009 at 9:05pm

#551. Virginia is for RenFaires
ID #654382 entered on June 13, 2009 at 9:27pm

#550. Virginia is for Loving
ID #654258 entered on June 12, 2009 at 5:42pm

#549. Mayan Kampf
ID #654053 entered on June 11, 2009 at 11:25am

#548. You're Doing It Right
ID #653987 entered on June 10, 2009 at 8:07pm

#547. Mixed Bag
ID #653855 entered on June 9, 2009 at 8:06pm

#546. Is Literature Dead?
ID #653699 entered on June 8, 2009 at 4:48pm

#545. Phoning it in
ID #653543 entered on June 7, 2009 at 12:40pm

#544. Stuff
ID #653483 entered on June 6, 2009 at 11:09pm

#543. Rarity
ID #653333 entered on June 5, 2009 at 4:47pm

#542. Be Happy!
ID #653206 entered on June 4, 2009 at 3:34pm

#541. Speaking of Government
ID #652925 entered on June 3, 2009 at 1:50pm

#540. Czarface
ID #652804 entered on June 2, 2009 at 3:53pm

Previous ... 18 19 20 21 -22- 23 24 25 26 27 ... Next

© 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.

Printed from https://writing.com/main/profile/blog/cathartes02/action/archive/sort_by/entry_order DESC, entry_creation_time DESC/page/22