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Total Members Voted: 11

[SOLDIER First]

Oliver's boyish bits continue to scorch themselves.

[IamanElfCollaborator]

((Well balls. Mitsuru might know this crap but I don't.))
"I see. Well.......I believe your answer is correct, based on my knowledge of this area of maths."

[SOLDIER First]

He stands.
_{"I'm g-going to the n-nurse.."}

[IamanElfCollaborator]

"Why? Is everything alright?"

[SOLDIER First]

Oliver points to his half-empty cup of tea and then to his pants, which are visibly wet in an area that should not be visibly wet under any circumstances.

[IamanElfCollaborator]

Mitsuru nods and takes him to the nurse's office.

[smurfingtonthethird]

Considering a message was sent to Glasses about Matthew's behavior, you would've thought she'd have arrived by now.

She has. ENSUE SPANKINGS

Now Matthew has been given a toilet brush, a bottle of natural disinfectant, and several dozen toilets to clean.


The nurse is sitting on a chair, and smiles as the pair walk in.

"Oh my, what has happened to you?"


"Well, that was interesting, to say the least..."

[IamanElfCollaborator]

"He spilled tea on himself."

[Empiricist]

((The question I had in mind is basically just a modification to something mentioned in the book. As in seriously, it can be a potential bitch of a question and the author pretty much just goes 'take this, do a couple of simple things and you end up with this' and keeps on trucking.

For reference, z is used to represent a complex number. In polar form (there normally would be a coefficient, but in this case it's just 1), it would be cos(θ) + isin(θ), where i is the square root of one. De Moivre's theorem is used to convert (cos(θ) + isin(θ))ⁿ into cos(nθ) + isin(nθ). Resolving for real means to only consider the real numbers, that is, the ones that do not have i in them. Sums and Differences as Products is a trigonometric identity. By using cos(0) = 1, it is possible to generate something to pair up for the S&D as P identity.

Going offline now.))

[SOLDIER First]

Oliver mumbles his thanks to Mitsuru.
_{"I had an accident.."}

[smurfingtonthethird]

((Oh yeah, I learned that a few weeks ago, c-grade stuff:  z^n = a^n cis (nθ) ... ANOTHER POINT FOR QUEENSLAND))

"Oh dear. How did that happen?"

[IamanElfCollaborator]

((I'm a writer not a mathematician dammit.))
"Accident."

[Empiricist]

((Oh yeah, I learned that a few weeks ago, c-grade stuff:  z^n = a^n cis (nθ) ... ANOTHER POINT FOR QUEENSLAND))

((If you're interested, the identity to prove in question was (apologies for the poor formatting):
Re(^(1-zn)/_(1-z)) = ^{(cos((n-1)θ/₂)sin(nθ/₂))}/_(sin(^θ/2))  ))

[SOLDIER First]

Oliver tries not look like he's in too much pain.

[smurfingtonthethird]

She hands him a gel-like substance in a plastic bag.

"This will soothe the pain."

((Oh yeah, I learned that a few weeks ago, c-grade stuff:  z^n = a^n cis (nθ) ... ANOTHER POINT FOR QUEENSLAND))

((If you're interested, the identity to prove in question was (apologies for the poor formatting):
Re(^(1-zn)/_(1-z)) = ^{(cos((n-1)θ/₂)sin(nθ/₂))}/_(sin(^θ/2))  ))

((nothing more I hate than proving identities))