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Everything posted by Haelbarde
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(Wish we had LaTex or Mathprint or some such thing, support on the forum...) Following the steps for the half angle identity, but instead of starting with cos(2a), starting with cos(3a) instead ends up with: cos(theta) = cos(theta/3)*(4*(cos(theta/3)^2) - 3) (*) In the original case, you'd have: cos(theta) = 2*cos(theta/2) -1 That can be rearranged to: cos(theta/2)^2 = (1 - cos(theta))/2 But that's just not possible with the factor of cos(theta/3) out the front on the RHS in (*). So given it won't work for theta/3, we certainly couldn't find a formula for cos(a/b) for all a & b.
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http://www.themathpage.com/atrig/double-proof.htm If you were to attempt it, you'd have to apply the sum indentity b times, and then see what you got. Probably not going to be super neat...
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mafia championship A Knock from Outside the Cosmere
Haelbarde replied to Metacognition's topic in Sanderson Elimination
Vote Tally: Meta(11): Mailliw, Joe, TinyStrawMan, Kyndedath, Seonid, Lopen, Wonko, Amunensis, Haelbarde, Burnt, Araris Lopen(2): Joe, Amunensis Amunensis(3): Joe, Kynedath, Lopen Haelbarde(5): Joe, Seonid, Lopen, Wonko, Amunensis Alvron(6): Joe, Seonid, Lopen, Wonko, Amunensis, Haelbarde Wilson(5): Joe, TinyStrawMan, Kyndedath, Amunensis, Haelbarde Mailliw(8): Joe, Kynedath, Seonid, Lopen, Wonko, Amunensis, Haelbarde, TinyStrawMan The Only Joe(2): Amunensis, Haelbarde Kipper(1): Haelbarde Aonar(2): Haelbarde, Burnt Araris(1): Haelbarde Kasimir(5): Haelbarde, Burnt, Kipper, Araris, Lopen Wyrmhero(2): Haelbarde, Araris Gamma(2): Haelbarde, Araris Renegade(1): Araris Ordered: Meta(11), Mailliw(8), Alvron(6), Wilson(5), Haelbarde(5), Kasimir(5), Armunensis(3), Lopen(2), The Only Joe(2), Aonar(2), Wyrmhero(2), Gamma(2), Kipper(1), Araris(1), Renegade(1)- 636 replies
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mafia championship A Knock from Outside the Cosmere
Haelbarde replied to Metacognition's topic in Sanderson Elimination
Eh, it all starts my first day back at uni. So, I definitely won't have tons of time to commit to stuff. I'll represent if no one else is able, but otherwise I'm going to have so no, I'll won't be able to do it. But thanks for your kind words, Wonko!- 636 replies
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mafia championship A Knock from Outside the Cosmere
Haelbarde replied to Metacognition's topic in Sanderson Elimination
Vote Tally: Meta(9): Mailliw, Joe, TinyStrawMan, Kyndedath, Seonid, Lopen, Wonko, Amunensis, Haelbarde Lopen(2): Joe, Amunensis Amunensis(3): Joe, Kynedath, Lopen Haelbarde(5): Joe, Seonid, Lopen, Wonko, Amunensis Alvron(6): Joe, Seonid, Lopen, Wonko, Amunensis, Haelbarde Wilson(4): Joe, Kyndedath, Amunensis, Haelbarde Mailliw(8): Joe, TinyStrawMan, Kynedath, Seonid, Lopen, Wonko, Amunensis, Haelbarde The Only Joe(2): Amunensis, Haelbarde Kipper(1): Haelbarde Aonar(1): Haelbarde Araris(1): Haelbarde Kasimir(1): Haelbarde Wyrmhero(1): Haelbarde Gamma(1): Haelbarde Ordered: Meta(9), Mailliw(8),Alvron(6), Haelbarde(5), Wilson(4), Armunensis(4), Lopen(2), The Only Joe(2), Kipper(1), Aonar(1), Araris(1), Kasimir(1), Wyrmhero(1), Gamma(1) Heh. While I'm honored that y'all think I'd be a good representative, but seriously - have any of you looked at my stats for SE? You know I'd likely get night 1'd, right? But regardless, I don't feel I'm that good a candidate. Dunno if I'll have the time. I might, so I won't formally withdraw myself, but there are things I should be doing in the near future. We'll see. Reasons for nominations: -The Moderators: They run this subforum, and Meta is the reason this exists. They're going to be good examples of what SE is about. So Meta, Wilson, Gamma, Alv - Mailliw: The player with the most games played. He's also a good and consistently active player. Aonar, Joe and Araris are good candidates for a similar reason. For good measure, I'll nominate Kas and Wyrm too. They're both fun to play with. Oh, and Kipper, 'cos he's played lots of Town of Salem.- 636 replies
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Important question: Which type of mathematics professor are you? One who crosses his "Z"S, or one whose"Z"s are indistinguishable from the number 2?
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The world shatters. You get to keep a piece. I wish I had a teleport device.
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Random Stuff VIII: The Admin Special
Haelbarde replied to Jo and the Bush's topic in Forum Games & Random Stuff
Random fact about 6 sided dice with pips: It's possible to remove 16 of the 21 pips and still be able to work out exactly what each side of the die is meant to be. (Not any 16 - the remaining 5 must be in specific positions) Don't know for certain, but pretty sure you couldn't have less than 5 pips and it still work. Willing to be proved wrong though. Edit: The only assumption is that opposite faces add to 7. Which is the norm. My solution:- 1963 replies
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Random Stuff VIII: The Admin Special
Haelbarde replied to Jo and the Bush's topic in Forum Games & Random Stuff
It was probably more my own fault for not doing enough of the practice work in the level 1 and 2 courses - I passed the courses fine, but didn't actually do any proofs... I decided pure maths might not for me after that point. The applied maths course this semester hasn't needed rigourous proofs so far. It's more been programing.So basically for me, it was more due to me being a poor student, I think.- 1963 replies
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Random Stuff VIII: The Admin Special
Haelbarde replied to Jo and the Bush's topic in Forum Games & Random Stuff
See, I switched from Maths to Physics because I wasn't fond of doing mathematical proofs... No, the next one should be entirely about maths!- 1963 replies
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Random Stuff VIII: The Admin Special
Haelbarde replied to Jo and the Bush's topic in Forum Games & Random Stuff
Very true. I was more going for what Calculus felt like when I first got taught it. It was actually quite awesome to see that the limit let us do algebra to get meaningful information about something that should have been dividing by zero. And the same when we considered infinite series.- 1963 replies
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Random Stuff VIII: The Admin Special
Haelbarde replied to Jo and the Bush's topic in Forum Games & Random Stuff
A thing that amuses me, in reference to the maths stuff, is we can actually divide by 0. In some cases. We invoke the idea of a limit, and then we get to play around with values at infinity and divide by zeros. Yay for calculus!- 1963 replies
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Random Stuff VIII: The Admin Special
Haelbarde replied to Jo and the Bush's topic in Forum Games & Random Stuff
Hey, C.S. Lewis did wells as a method of transportation between worlds way before Brandon did - Give 'The Magician's Nephew' a read. And aren't Stargates just vertical wells? Brandon using wells for transport is hardly an original idea. What makes them particularly awesome is their association with the Shards, at least as far as we've seen so far.- 1963 replies
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This just makes think of Monty Python's "World's Funniest Joke". Which was lethal. See, I'm a fan of earth-type starters...
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I was more thinking you try and get the blade to hit the flat edge...
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- shardplate
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We don't know about the origins of shardplate, but with shardblades, you could turn the blade into a sprenshield.
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The genie does as you wish, creating a clone of itself, identical other than the fact it remembers you killing it's otherself. This new genie makes you stop existing as just deserts. The original wish is not violated as the genies passing did not affect any human. Too tired to make something looking like a legal document, so I'll wish for the perfect wish for me.
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A war between Scadrial (era 2) and Roshar
Haelbarde replied to Bowiespoon's topic in Cosmere Discussion
Shards are Invested objects. Invested Objects are resistant to other investiture (partly why Shardplate is effective against Shardblades). So Coinshots/Lurchers wouldn't be able to do much against anyone with Shardplate or a Sharblade, as far as directly pushing them. They know of Hemalurgy. They've not practiced hemalurgy. If war broke out, if we assume they start researching/practicing, hemalurgy could come into play, but not immediately. See the the thing with Coinshots/Lurchers, is all you need is Gravitation surges, and send them falling into the sky. That could well handle them. Depends if a Coinshot can sufficiently slow themselves down from terminal velocity. -
How would bullets do against Shardblades?
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Is the prose version ever likely to become more readily available, once the Graphic Novel is released? Or is it the sorta thing that would contain spoilers for other Cosmerey things, like WoK'? Related, and potentially relevant question - has he said if we'd ever get to see WoK' once we're sufficiently far through SA so that it wouldn't spoil important details?
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WoR spoilers: (Do we have to worry about that here?)
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A SA game would probably work best by featuring a proto-radiant, like Lift or Ym (though obviously not either). But focus on the sort of character we get tastes of in interludes, and follow what they do. Or actually, what about a game about Lift before the interlude. Stealth game with Awesomeness!
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Can I suggest that once a wish has been broken, no iterating the wish to plug the holes?
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For the 100 in the the phrase "100 small diamonds", you didn't specify what base that was in. That lets me do all kinds of weird things with what 100 means, whether it's 4 diamonds in base 2, or something else, choosing a massive base, or maybe even a negative base.
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@Joe: You get a smooth orb of glass filled with pure water, with both at 70 degrees Fahrenheit, and weighs somewhere within the required bound. I wish that one of Brandon Sanderson's characters was inspired by me.
