(February 13, 2022 at 12:40 pm)polymath257 Wrote:

(February 13, 2022 at 12:28 pm)FlatAssembler Wrote: What's the difference?

The correct term is 'complex numbers', just like the correct term for fractions is 'rational numbers'.  You don't get to change to a different adjective even if it would be correct in ordinary language.

And, really, the only thing you need to know about complex numbers is that i^2 =-1. All the rest of algebra works the same (although order properties don't exist).

What is "algebra"? I have heard that word, and I know it is something related to mathematics, but I do not know what it means.

(February 13, 2022 at 12:19 pm)FlatAssembler Wrote:

(February 13, 2022 at 11:50 am)GrandizerII Wrote: https://pasteboard.co/OpS78RwMHcd4.png

https://pasteboard.co/TG8gsyJuDdwy.png

Easy algebra, as long as you know what to do with the i's.

In case this is new to you, i^2 = -1

Well, I do not know much about complicated numbers.

Easy to learn, heaps easier than learning robotics. Get to Googling now.

(February 13, 2022 at 1:00 pm)FlatAssembler Wrote:

(February 13, 2022 at 12:40 pm)polymath257 Wrote: The correct term is 'complex numbers', just like the correct term for fractions is 'rational numbers'.  You don't get to change to a different adjective even if it would be correct in ordinary language.

And, really, the only thing you need to know about complex numbers is that i^2 =-1. All the rest of algebra works the same (although order properties don't exist).

What is "algebra"? I have heard that word, and I know it is something related to mathematics, but I do not know what it means.

1/s+1/(s+2)+1/(s+6-2i)+1/(s+6+2i)=1/(s+1) is algebra.    The letters in it makes it algebra.

(February 13, 2022 at 12:58 pm)Jehanne Wrote:

(March 19, 1975 at 12:04 pm)polymath257 Wrote: And, really, the only thing you need to know about complex numbers is that i^2 =-1. All the rest of algebra works the same (although order properties don't exist).

Complex conjugates?

Analogous to other quadratic conjugates, like that the conjugate of 2+sqrt(3) is 2-sqrt(3).

The only fact that is useful background at this level is that every polynomial with complex coefficients factors into linear factors with complex coefficients (the fundamental theorem of algebra).

But this isn't proved until *much* later.

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(February 13, 2022 at 1:00 pm)FlatAssembler Wrote:

(February 13, 2022 at 12:40 pm)polymath257 Wrote: The correct term is 'complex numbers', just like the correct term for fractions is 'rational numbers'.  You don't get to change to a different adjective even if it would be correct in ordinary language.

And, really, the only thing you need to know about complex numbers is that i^2 =-1. All the rest of algebra works the same (although order properties don't exist).

What is "algebra"? I have heard that word, and I know it is something related to mathematics, but I do not know what it means.

In that case, I might suggest that you don't have the prerequisites for this course.

Algebra is arithmetic with letters.

I don’t understand how a person can be an adult and not know what algebra is. I can understand not knowing how to use it, but what happened in your schooling that you don’t know what it is?

Boru

(February 13, 2022 at 11:25 am)BrianSoddingBoru4 Wrote: Again with the homework.

Boru

Warned you all ages ago. We are all just doing his homework for him.

Now we don't know what "complicated" numbers are. Or what algebra is. Or who his teacher is. Or who his fellow students are. Or what a study group is. Or what a tutorial is.

(February 13, 2022 at 3:33 pm)BrianSoddingBoru4 Wrote: I don’t understand how a person can be an adult and not know what algebra is. I can understand not knowing how to use it, but what happened in your schooling that you don’t know what it is?

Boru

Clearly you are not familiar the powers of american primary and secondary education.

(February 13, 2022 at 6:15 pm)Anomalocaris Wrote:

(February 13, 2022 at 3:33 pm)BrianSoddingBoru4 Wrote: I don’t understand how a person can be an adult and not know what algebra is. I can understand not knowing how to use it, but what happened in your schooling that you don’t know what it is?

Boru

Clearly you are not familiar the powers of american primary and secondary education.

He’s not an American. But even if he were, it’s stunning to me that didn’t learn what algebra is, even by osmosis.  ‘It’s that mathy stuff with the letters, right?’ would be acceptable.

Boru

The answer is 43.