#complex conjugation

[fardell24b]

Math 101 Revision - Lecture 10

Math 101 – Lecture 10 Revision

Solving Quadratic Equations

We can solve such equations as 22 + 2 + 1 = 0

 -//-

 Complex Conjugation

The complex conjugation of a complex of 2 = x + y. It is denoted by z-.

i.e. if z = x + iy then z- = - iy

Note: z z- = x2 + y2 (real and positive) Find the complex conjugates of:

(1)   2 + 3i

(2)   |2| - i

(3)   1/(1 + i)

 Solution

.        .

2 + 3i = 2 – 3i

 .   .

|2| - i

 .            .

1/(1 + i)  = 1/(1 – i)

 Theorem

If 21 and 22 are complex numbers then

 (i)               .       .      . .    . .

21 + 22 = 21 + 22

 (ii)              .       .               . . . .

(21/22)          = 21 / 22 , z2 =/= 0

[capnmariam]

"The academic off-season (traditionally referred to as "summer") can be especially difficult on mathletes, though various training regimens have been proposed to keep mathletic ability at its peak."

[Embedded video]

\...evaluate and rank me! Oh, I'm good, good, good, and oh so smart! --

More than a feeling I just remember.

[capnmariam]

"Beard to Beard"

rebarbative |rəˈbärbətiv| adjective formal unattractive and objectionable. ORIGIN late 19th cent.: from French rébarbatif, -ive, from Old French se rebarber ‘face each other “beard to beard” aggressively,’ from barbe ‘beard.’

My deep and abiding love for etymology keeps me pretty set as far as always being amused about something.  It doesn't sound like so objectionable a situation.

[capnmariam]

Things I Got Weirdly Nostalgic about While Watching Tivo's Suggestion: "Aladdin" (1992)

Roles perfectly suited for Robin Williams

The rampant kleptomania of my teens/twenties

The desert (bonus points for being extra unexpected, since I don't particularly enjoy direct sunlight nor being warm)

The time before I explained to my Dearest Pal (the one who knew I was the worst) that our nice black neighbor--who may have been D.P.'s "first black person" and who D.P. definitely had been calling "Rajah" for months--was, in fact, named "Roger" and no one had corrected D.P. because it sounded hilarious* (Literally laugh-crying about that right now)

The last time my dad suggested a suitor for me to marry and, ideally, make tiny muslim babies with. (It's been all of 6 days! This week took forever and it was terrible and it was great and either way I call home on Sundays.)

Anthropomorphic home furnishings

The Bob Loblaw Law Blog

Talking monkeys

18 hours ago, I was submitting my 2nd 1st au. manuscript. 19 years ago, I saw this movie for the first time.  20 days from now, I have a seat at the grown up table.  21 weeks from now, ...we'll see.

*I had to explain because DP was writing a message on the board and, while it was plausible that others thought that it was just how DP pronounced things, I think I might have been one of 3 people who realized that DP was confused by ethnicity and just thought Roger had a different name.  And yes, one would think that I would be especially sensitive to this kind of issue, as name mistakes are still on the list of things that can make me SO angry, but no, I am the worst, especially when it involves corrections which could stop something hilarious. 

[capnmariam]

I'm as happy as a little girl.

Yesterday, in what was not my finest moment (not too bad a moment, though), I silently pantomimed "touch my monkey" across a room, which made my adviser laugh hard enough to weep a little.

A few minutes prior, the international scientists between us had commented about how all Germans dress alike, which had led to my saying "Like on 'Sprokets'?" which had led to a near choking on the far side of the room, so I knew that he would be primed for a shared vision of an imaginary "limited" monkey.  And the shared vision was good.

Am I abusing the blockquote? I think I might be. I do like the idea of pulling my tangents in this way, though. I am reminded of higher-order volition, which was one of my favorite topics in philosophy.

I was basically 4 credits shy of a 4th major in Philosophy because, maybe...illogically, I decided to drop a 11 AM logic course because the lady teaching it was irritating and I decided I would get more out of sitting in that bizarre comp-lit class where I might end up slogging through "Daniel Deronda" with simpletext instead. And I did.

H-O-V was the kind of thing one would end up having conversations about into the wee hours of the morning. "Oh, I want you here, but I don't want to want you here. But I do want to want to want you here, if that makes it better. No?  Do you think it would be better if I figured things out at a higher level? ...Yeah, I'm worried about me dying alone too."

The wikipedia article on Sprockets is not tiresome at all.

Things said by the Swiss/German guy between us that were perhaps more amusing mental images than the monkey: "For people like you, who are walking brains, you might find this interesting." "When you and your family are out, taking a march in the park..." "And we can also use this to study virility enhancers."

As much as I know I can't do this in the long term, and as much as I sometimes fret about the relative location to the point of occasionally considering running away (which is probably called something else when one is ostensibly a grownup, but...I did eat cookies for breakfast for probably the 90th time this year today, so..."running away"); I do like most of the people I work under/around/with/prepositional phrase.  This was something I thought about when trying to figure out what the deal would be if this shut down last night.

Also one would think that I, as a sort of government employee, would be more on top of having done my taxes.  Filled with incongruousness, I am.   And great images.

[capnmariam]

I wrote down Harlequin's subdivisions, though: INTRIGUE, ROMANCE, SUPERROMANCE, NASCAR, READER'S CHOICE, HISTORICAL, AMERICAN ROMANCE. I think I would be most intrigued by "Historical American SuperRomance". That would be MY choice. Imaginary excerpt: MR. LINCOLN, LET WONDER WOMAN HELP YOU ADDRESS GETTYSBURG ...OR UNDRESS GETTYSBURG

The shameful things I've felt the need to tell the world are varied and numerous.

Anyhow, TIME-TRAVELING WONDER WOMAN ALWAYS EXPRESSES HERSELF ASSERTIVELY.  That sometimes, but not always, involves yelling.