Search where?

This Portfolio (cathartes02)

All of Writing.Com

◄ April ►
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

Friday, Apr. 26, 2024

7:24pm EDT

Members: 972

Guests: 5,288

Total Online: 6,260

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 ... 5 6 7 8 -9- 10 11 12 13 14 ... Next

Show Recent Comments

10 Most Recent Blog Comments:

Kåre Enga in Udon Thani

a day ago
In response to "Going to the Dogs"

I have ants in Thailand. Will I miss them in Montana? No.

Would it be nice to have a cat and a dog, here or there? Yes, but I have struggles keeping my neglected plants alive.

Not every situation is suitable for everything or everybody.

Kåre Enga in Udon Thani

a day ago
In response to "Tipped Out"

I don't tip. In my travels I rarely find tipping the norm.

I also don't haggle.

When you add the tip... the true cost of America becomes evident. But what would I know? I travel while others who have double my income can't pay rent.

Kåre Enga in Udon Thani

a day ago
In response to "Reality Cubed"

My dreams may be different from your dreams but if we share them with others then some form of the dream may live on. Regardless, if we don't eat we die. "Joy gives us wings." "Reality bites."

Aiva Raine

Apr 24, 2024 at 4:26pm
In response to "Tipped Out"

Agreed. I'll tip and well, for actual waitstaff at restaurants. I'll tip appropriately for bell-staff who assists with luggage at hotels, the more luggage, the bigger the tip. I'll give a tip to the valet as well. Beyond that- I don't tip. Certainly no tip for the fast food workers, coffee baristas, grocery store clerks, etc.

It annoys me to no end that we're being asked to tip for all kinds of jobs where they are being paid an hourly wage. I've worked as a waitress when I was young and my daughter currently does. In those jobs- she absolutely depends upon proper tipping to make a decent wage. And I hate the fact that she is dependent upon tips to do so.

It leaves women especially at the mercy of arsh**() on whether she wants to accept hostile, negative, sexist, harassing, demeaning, and negative behavior from her customers in order to make a living. It condones people treating their waitstaff like shite in order to get paid. While there is much improvement from the 30 years ago when I was working as a waitress in the skimpy outfits we were forced to wear- it's still an issue at non-chain, independent owned restaurants and diners.

Women are left to the mercies of jerk customers and their only recourse is the manager who they have to hope supports their waitstaff rather than the jerk customer. Tipping should be eliminated. All employees should be paid a livable wage and waitstaff especially should not be dependent upon tolerating crappy to obscene behavior from customers in order to make a living.

But, until that happens- I always tip at least 20% and often times more. Very rarely have I tipped lower and the service in those situations was abysmal and they still got 10%.

1 Like

GeminiGem of House Lannister

Apr 23, 2024 at 6:51pm
In response to "Going to the Dogs"

I don't understand the intersection, either. I lived in a much smaller city and found that having dogs was a hassle (although it didn't stop me), what with the complainey neighbors, the extra licensing, etc. I live in a rural location now and it works great. I can't wrap my head around living in NYC with or without a dog, although I like the idea of a place that issues a canine and supplies upon moving there. Can that please be a thing?

1 Like

Lazy Writer est 4/24/2008

Apr 23, 2024 at 3:31pm
In response to "Going to the Dogs"

I love my little dog...but I live in a biggish house with a fenced backyard.

1 Like

Aennaytte: Free & Wild in GoT

Apr 23, 2024 at 3:14pm
In response to "That's Cole"

I knew and ate Kohlrabi before I ever heard of kale. Kohlrabi is so much better in every way.

That last quoted sentence is hilarious. I am glad that I wasn't bred to be a Brussels Sprout.

1 Like

Aennaytte: Free & Wild in GoT

Apr 23, 2024 at 3:11pm
In response to "Cash Stash"

The discussion of money is an interesting one. Remember the recent collapse of a few banks? I think it was about a year or so ago?
Yes, deposits were FDIC insured up to $250,000 per depositor. But some people and companies had more money in that bank than the FDIC was insuring.
I never followed up on what happened to those people. I don't run in circles of people who own that much cash.

My accounting professor took half a period to explain to us what happened and how the bank went from Silicone Valley darling to dead so fast.

He also told us that the value we give money is not backed by anything except our hope and faith that our economy will keep going.

We didn't discuss whether the value of money needed a lower income class of people.

1 Like

Aennaytte: Free & Wild in GoT

Apr 23, 2024 at 3:04pm
In response to "Revisited: "Hack This""

In my last psychology class, we discussed the evolution of the brain. It is now settled science that we evolved to have not only larger, but also vastly more powerful brains than most other animals because we learned how to cook (process) our food.
Although we are only about 1/4 to 1/3 of a normal gorilla, we eat half of the calories in a day. Not only that, we prepare the food in a way that we get to use more of the calories that we ingest.
The result is that our brain takes up more space in our noggin than a gorilla brain takes up in his noggin. Not only that, each of our brain cells is smaller, so we can fit exponentially more of those into our head.

Now, using all that goodness ...

1 Like

Aennaytte: Free & Wild in GoT

Apr 23, 2024 at 2:58pm
In response to "Hope for Hops"

Wait! Why are beer and coffee affected by climate change? That wasn't supposed to happen. All we had to do was have a boat by the side of the house for when the sea levels rise and beg our property insurance to cover fire damage. How are we supposed to remember all of that if we don't get coffee to wake us up in the morning so that we can think and beer at night to dull our sense of doom?

#1879. Putting the Product in Productivity
ID #1026805 entered on February 16, 2022 at 9:17am

#1878. Giant Red Flags
ID #1026738 entered on February 15, 2022 at 8:11am

#1877. Literately
ID #1026662 entered on February 14, 2022 at 12:02am

#1876. The Measure of a Mind
ID #1026588 entered on February 13, 2022 at 12:01am

#1875. Model Citizen
ID #1026506 entered on February 12, 2022 at 12:02am

#1874. Drawing it Out
ID #1026442 entered on February 11, 2022 at 12:01am

#1873. Life is Like a Box of... Well, You Know.
ID #1026383 entered on February 10, 2022 at 12:02am

#1872. Into an Abyss
ID #1026325 entered on February 9, 2022 at 12:03am

#1871. Rounded By a Sleep
ID #1026268 entered on February 8, 2022 at 12:04am

#1870. The Real Thing
ID #1026190 entered on February 7, 2022 at 12:02am

#1869. It's Beer, Isn't It?
ID #1026120 entered on February 6, 2022 at 12:02am

#1868. The Yeast You Can Do
ID #1026065 entered on February 5, 2022 at 12:02am

#1867. Origins of Comedy
ID #1025993 entered on February 4, 2022 at 12:01am

#1866. Emotion Notion
ID #1025928 entered on February 3, 2022 at 12:03am

#1865. Time and Time and Time and Time Again
ID #1025849 entered on February 2, 2022 at 12:01am

#1864. Tentacled Monsters from Spaaaaaaace
ID #1025770 entered on February 1, 2022 at 12:03am

#1863. Controversial?
ID #1025713 entered on January 31, 2022 at 12:03am

#1862. The Fix
ID #1025659 entered on January 30, 2022 at 12:18am

#1861. Age Is Only a Number
ID #1025588 entered on January 29, 2022 at 10:51am

#1860. Control Alt Delete
ID #1025522 entered on January 28, 2022 at 12:03am

#1859. Don't Care
ID #1025454 entered on January 27, 2022 at 12:02am

#1858. Everything Louder Than Everything Else
ID #1025394 entered on January 26, 2022 at 12:09am

#1857. Changes
ID #1025331 entered on January 25, 2022 at 12:01am

#1856. Clawless
ID #1025259 entered on January 24, 2022 at 12:04am

#1855. Catching Zs
ID #1025214 entered on January 23, 2022 at 12:01am

#1854. Everything and Nothing
ID #1025159 entered on January 22, 2022 at 12:02am

#1853. Weary Year
ID #1025097 entered on January 21, 2022 at 12:02am

#1852. Freeze Peach
ID #1025049 entered on January 20, 2022 at 12:03am

#1851. Resolute
ID #1024999 entered on January 19, 2022 at 12:03am

#1850. Toxic
ID #1024847 entered on January 18, 2022 at 12:03am

#1849. Bullshirt
ID #1024811 entered on January 17, 2022 at 12:03am

#1848. Clarity
ID #1024776 entered on January 16, 2022 at 9:05am

#1847. It's Broke
ID #1024702 entered on January 15, 2022 at 12:03am

#1846. Plus Ça Change...
ID #1024634 entered on January 14, 2022 at 12:01am

#1845. No One Wants To Work (Especially Me)
ID #1024583 entered on January 13, 2022 at 12:02am

#1844. The Strippers, JFK and Stalin
ID #1024526 entered on January 12, 2022 at 12:01am

#1843. Moral Hazard
ID #1024481 entered on January 11, 2022 at 12:06am

#1842. I Don't Have The Guts
ID #1024433 entered on January 10, 2022 at 12:01am

#1841. Hell, or The Matrix?
ID #1024391 entered on January 9, 2022 at 12:03am

#1840. What I Learned
ID #1024333 entered on January 8, 2022 at 12:03am

#1839. Bad Advice
ID #1024291 entered on January 7, 2022 at 12:03am

#1838. Acceptable
ID #1024253 entered on January 6, 2022 at 12:02am

#1837. Ignorant Bliss
ID #1024195 entered on January 5, 2022 at 12:03am

#1836. Judge, Mental
ID #1024136 entered on January 4, 2022 at 3:06am

#1835. Up in Smoke
ID #1024067 entered on January 3, 2022 at 12:15am

#1834. Security
ID #1024005 entered on January 2, 2022 at 12:01am

#1833. Airlock.
ID #1023961 entered on January 1, 2022 at 9:14am

#1832. Requiem for a Year
ID #1023884 entered on December 31, 2021 at 12:03am

#1831. Risk, Revisited
ID #1023825 entered on December 30, 2021 at 12:03am

#1830. Shuttered
ID #1023782 entered on December 29, 2021 at 12:01am

#1829. Undue Influence
ID #1023742 entered on December 28, 2021 at 12:02am

#1828. Hot Stuff
ID #1023707 entered on December 27, 2021 at 12:03am

#1827. Catstory
ID #1023670 entered on December 26, 2021 at 12:02am

#1826. Evolution, My Ass
ID #1023640 entered on December 25, 2021 at 12:02am

#1825. Well, At Least The Hard Part Is Over
ID #1023602 entered on December 24, 2021 at 12:01am

#1824. Something New Under the Sun
ID #1023564 entered on December 23, 2021 at 12:02am

#1823. On Happiness
ID #1023536 entered on December 22, 2021 at 12:01am

#1822. Exit Night
ID #1023471 entered on December 21, 2021 at 12:02am

#1821. Ain't Talkin' 'bout Love
ID #1023429 entered on December 20, 2021 at 12:02am

#1820. Short
ID #1023377 entered on December 19, 2021 at 12:39am

#1819. Persistence
ID #1023333 entered on December 18, 2021 at 12:01am

#1818. One Down, One To Go
ID #1023295 entered on December 17, 2021 at 12:03am

#1817. Eight is More Than Enough
ID #1023253 entered on December 16, 2021 at 12:01am

#1816. In The Name Of Name
ID #1023220 entered on December 15, 2021 at 12:01am

#1815. A Gift Beyond Price, Almost Free
ID #1023186 entered on December 14, 2021 at 12:03am

#1814. Congratulations!
ID #1023146 entered on December 13, 2021 at 12:02am

#1813. Two Years
ID #1023096 entered on December 12, 2021 at 12:08am

#1812. Weekness
ID #1023061 entered on December 11, 2021 at 12:02am

#1811. Too Little, Too Late
ID #1023024 entered on December 10, 2021 at 12:06am

#1810. In Spite Of
ID #1022986 entered on December 9, 2021 at 12:02am

#1809. Transcendental
ID #1022945 entered on December 8, 2021 at 12:03am

#1808. Meh. Whatever.
ID #1022904 entered on December 7, 2021 at 12:02am

#1807. Astronomically
ID #1022813 entered on December 6, 2021 at 12:05am

#1806. Dinostory
ID #1022774 entered on December 5, 2021 at 12:02am

#1805. It's A Conspiracy!
ID #1022750 entered on December 4, 2021 at 12:01am

#1804. Know One
ID #1022713 entered on December 3, 2021 at 12:04am

#1803. How Low Can You Go?
ID #1022679 entered on December 2, 2021 at 12:51am

#1802. You Have Nothing to Lose But Your Chains
ID #1022595 entered on December 1, 2021 at 12:01am

#1801. Try to November Me
ID #1022544 entered on November 30, 2021 at 12:03am

#1800. Future Perfect
ID #1022488 entered on November 29, 2021 at 12:02am

#1799. Life, The Universe, and Everything
ID #1022439 entered on November 28, 2021 at 12:01am

#1798. Go Home
ID #1022387 entered on November 27, 2021 at 12:02am

#1797. Busted
ID #1022331 entered on November 26, 2021 at 12:02am

#1796. Putting the Attitude Back in Gratitude
ID #1022273 entered on November 25, 2021 at 12:02am

#1795. I Did Nazi That
ID #1022227 entered on November 24, 2021 at 12:03am

#1794. Gelotology
ID #1022175 entered on November 23, 2021 at 12:01am

#1793. Powered Up
ID #1022096 entered on November 22, 2021 at 12:01am

#1792. Facing the Music
ID #1022046 entered on November 21, 2021 at 12:03am

#1791. People Eating Tasty Animals
ID #1021994 entered on November 20, 2021 at 12:01am

#1790. Epiphany
ID #1021917 entered on November 19, 2021 at 12:04am

#1789. Experience
ID #1021842 entered on November 18, 2021 at 12:01am

#1788. The Butler Did It
ID #1021786 entered on November 17, 2021 at 12:09am

#1787. Thought for Food
ID #1021729 entered on November 16, 2021 at 12:04am

#1786. Dark Side of the Moon
ID #1021645 entered on November 15, 2021 at 12:04am

#1785. Past Tense
ID #1021569 entered on November 14, 2021 at 12:02am

#1784. Procreation Pass
ID #1021510 entered on November 13, 2021 at 12:03am

#1783. Avoidance
ID #1021438 entered on November 12, 2021 at 12:02am

#1782. Nothing to Go On
ID #1021370 entered on November 11, 2021 at 12:01am

#1781. Hay Now
ID #1021286 entered on November 10, 2021 at 12:03am

#1780. Barber-ians at the Gate
ID #1021211 entered on November 9, 2021 at 12:02am

Previous ... 5 6 7 8 -9- 10 11 12 13 14 ... 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://www.writing.com/main/profile/blog/cathartes02/action/archive/sort_by/entry_order DESC, entry_creation_time DESC/sort_by_last/entry_order DESC, entry_creation_time DESC/page/9