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Thanks for the response. Sorry it's taken me so long to reply; I've just been trying to take it in and understand what you're saying. I have a passing interest in mathematics, but I'm such a huge ignoramous about it.
So at the risk of sounding like an ignorant newbie, I want to see if I have this straight: what you're saying is that if cos(x) + i*sin(x) is a root of unity, then x = pi*a/b, with a and b as integers, and b > 0. Which kinda makes sense when I think about it. The trick then is to prove that such a number is such a root.
If I am understanding this correctly - and if I am not, then I apologize - , then that means that to demonstrate my previous question but with atan(1/5) instead of asin, we'd have to prove that
√26/26 + i*5*√26/26
is a root of unity. Unfortunately, I can't understand your explanation starting at the word "sum", so I'm a little lost as to how one would prove that.
A hundred years from now, they will gaze upon my work and marvel at my skills but never know my name. And that will be good enough for me.
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[20:36] <dekutony> Invariel: that was the question
[20:37] <Invariel> No, that is the answer.
[20:37] <dekutony> NO, THATS THE QUESTION
[20:37] <Invariel> No, it really is the answer.
[20:37] <dekutony> NO ITS NOT
A hundred years from now, they will gaze upon my work and marvel at my skills but never know my name. And that will be good enough for me.
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Framerate appears to be choppy and unsteady; no idea if it's a problem on my end. I find it most noticeable during the screen melt, which appears to stutter slightly.
A hundred years from now, they will gaze upon my work and marvel at my skills but never know my name. And that will be good enough for me.
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I recently learned that one you do trig on any rational multiple of pi, you end up with an algebraic number. Is the inverse of this true? That is, when one does inverse trig on a real algebraic number between 1 and -1 inclusive, will the result be a rational multiple of pi?
Or, for a specific example, can asin(1/5) be represented as a fraction of pi?
A hundred years from now, they will gaze upon my work and marvel at my skills but never know my name. And that will be good enough for me.
Experienced Forum User, Published Author, Skilled player
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Since the music got brought up, I suppose I should should bring up this piece of relevance:
Link to video
Sound familiar after watching this TAS? My understanding is that these games share the same composer.
A hundred years from now, they will gaze upon my work and marvel at my skills but never know my name. And that will be good enough for me.
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I tried the Dark Demon a few years ago, but never followed through. There's an alternate password that I believe is faster than the one given at the end of the game.
I can also say that, for phase 1, use the Infinity Crest, but for phase 2, he actually takes more damage from the Air Crest than anything else.
A hundred years from now, they will gaze upon my work and marvel at my skills but never know my name. And that will be good enough for me.
Experienced Forum User, Published Author, Skilled player
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I take it you had no luck skipping the monster in the pit?
Sheesh, this run is 10 years old, and my only tools were frame advancing and an input display. I'm honestly surprised our run has held up so well this whole time.
A hundred years from now, they will gaze upon my work and marvel at my skills but never know my name. And that will be good enough for me.
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Alyosha wrote:
I'm not sure of the possibilities to do thing with this glitch outside this particular fight.
I remember Dacicus talking about how he had some weirds things going during the dragon fight using this bug.
Alyosha wrote:
scubed wrote:
It is possible to jump right below the top of a platform to fall through it. There was a movie demonstrating it. Unfortunately, we weren't able to get it to work consistently. That should allow easier access to the lower cave area.
Not sure what this is, I'll have to keep looking into it.
More than likely, he's talking about how you can fall through some solid platforms by hitting their top corners just right. I wasn't able to work it to my advantage for my run, although there were a few places it actually got in the way (I fell through the pedastal for the bronze wizard statue, or the ledge leading to the third princess, for instance).
The best place to use this would be to somehow bypass that one monster leading to the lower caves, thereby allowing one to skip the level one knight. I couldn't get anything to happen, probably because of that sloped ledge there.
A hundred years from now, they will gaze upon my work and marvel at my skills but never know my name. And that will be good enough for me.
