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



May 13, 2024 at 8:01am
May 13, 2024 at 8:01am
#1071005
"Mommy, where do Pop-Tarts come from?" "The supermarket, kid."

    The Contentious History of the Pop-Tart  
In the 1960s, two cereal giants raced to develop a toaster pastry


In September 1964, Kellogg’s changed breakfast forever by introducing Pop-Tarts to the world.

Yeah, it sure did change forever. Now instead of an unhealthy breakfast, we can eat a prepackaged unhealthy breakfast.

What made Pop-Tarts so innovative wasn’t just the sweet filling in various flavors squished between two thin pastry crusts. Or that they could be eaten toasted or cold.

I mean, sure, technically, they can be eaten cold, just like leftover pizza technically can be eaten cold. If you're a savage.

It was the convenience with which adults and children alike could open and instantly devour them.

It's not like they didn't have packaged prepared convenience foods in the 1960s. It's just that maybe PTs were the first ones to be marketed as breakfast.

Pop-Tarts’ ingredients mean that they don’t need to be refrigerated, and their foil packaging ensures they can be stored for months.

That's a funny way to phrase "Pop-Tarts contain preservatives." Obviously, most packaged food products contain preservatives. I'm not one of those ooh-booga-booga "all preservatives are bad" people, but it's entirely possible that some are worse than others.

The ingredients are right there   on the package, and most of them are pretty straightforward: sugar, corn syrup, mirror-universe sugar, high fructose corn syrup, etc. But one of them is just called TBHQ.

Now, I'm also not one of those "only eat things you can pronounce" people. As I've noted before, first, it encourages ignorance; second, I did recreational chemistry as a kid; my father had a degree in the field, and I learned how to pronounce lots of things. But I feel like calling it TBHQ deliberately hides a fell secret; it's short for tertiary butylhydroquinone,   which I'm sure if spelled out would freak out your average shopper way more than MSG (monsodium glutamate).

All of which is to say that even I, a big fan of both convenience and better living through chemistry, have my limits.

Throughout the 1950s and 1960s, hyper-sweetened food products that could be eaten on the go exploded in popularity, especially among children.

This just in: children love sweet things. Who knew?

This is all the more ironic because Will Keith Kellogg and John Harvey Kellogg, two brothers from Battle Creek, Michigan, were initially invested in providing healthy foods and cereals to improve digestion when launching their company in 1906.

I suppose you can call that irony. I call it a natural progression. Anything that starts out healthy eventually gets mass-marketed as candy. Cereal products are just one example. Also see: coffee, yogurt.

Just to be clear: I'm not anti-Pop-Tarts. I just like to know what stuff's made of and make my own decisions.

Upon his death on February 10, 2024, William Post was widely identified as leading the team that created the Pop-Tart. Post told southwest Michigan’s Herald-Palladium back in 2003 that Kellogg’s approached him when he was the manager of a Keebler Foods plant in Grand Rapids, where they asked him to develop the revolutionary breakfast food.

On the official Pop-Tarts website there’s no mention of Post.


Of course there isn't. That would be like if Coca-Cola hired some guy named John Pepsi to develop a new soft drink, or if Wal-Mart tasked Betty Amazon to design their new stores.

In order to spread the word of its creation, Kellogg’s used many television shows to introduce Pop-Tarts throughout the last months of 1964. Advertising appeared on “Beverly Hillbillies,” “My Favorite Martian,” “What’s My Line,” “Huckleberry Hound,” “Yogi Bear,” “Woody Woodpecker,” “Quick Draw McGraw,” “Mighty Mouse” and across daytime television.

Product placement is a legitimate marketing strategy. What makes it sneaky is that even if people go, "Hey, that's product placement," it still works. The entire article I'm linking today, for example, is basically an ad for Seinfeld's movie which, since I'm not getting paid either way, I won't name. Nor do I have any desire to watch it, even though it wouldn't cost me a dime to do so as it's on a streaming service I'm already subscribed to.

Ad or not, though, the historical information is interesting to me. I suspect the product was a part of the childhood experience of most people born around the time I was and, as the article notes, it's not like they're going out of style anytime soon.


© 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