Recent content by SubZir0
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Graduate Radix Economy of Complex Bases
Thanks lurflurf, sorry about this but I don't understand how the Econ function would actually work with complex numbers. When I fill in the function I get a complex result: log(-35+40)/log(2i) = 2.15.. -1.57..i So basically I guess I'm asking how you find the length of a number in a...- SubZir0
- Post #3
- Forum: General Math
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Graduate Radix Economy of Complex Bases
On the Wikipedia page for Radix Economy it shows how to find the economy (efficiency for data storage) of a positive real base like 2, e, 3, pi, etc but how would I find the economy of a complex or negative base? http://en.wikipedia.org/wiki/Radix_economy I want to find the economy of Donald...- SubZir0
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- Bases Complex Economy
- Replies: 2
- Forum: General Math
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High School Modular Physics: Largest Number in the Universe
Ok, I see the distinction. Thanks, the shape stuff is interesting, kinda like in Conway's Game of Life when you choose between border rules/no borders(modular)/infinite. __________________________________________________________ "Science is the belief in the ignorance of experts." - Richard... -
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High School Modular Physics: Largest Number in the Universe
Hi all, I was watching a documentary (http://topdocumentaryfilms.com/to-infinity-and-beyond/) and a few of the people said they didn't believe in infinity. I'm fine with that but one said some physicists believe there is a maximum number then it goes back round to 0. Is this actually a theory... -
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High School Converting Numbers from Base to Decimal
I totally wrote a program like this with Qt, it converted to a ton of bases, from negasexagesimal to phinary, quater-imaginary, balanced ternary to sexigasmal.. Here: http://neuraloutlet.wordpress.com/projects/ You just need to have a good read through here...- SubZir0
- Post #9
- Forum: Linear and Abstract Algebra
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Graduate Equating Field of Elements via the Radix
Ok, excellent, I was wondering how to deal with more than one thing like you said: a+ b\sqrt{7}+ c\sqrt{2}+ d\sqrt{14} So you just extend the equation until it's all in there then do a multiple of them? (14 at the end)- SubZir0
- Post #3
- Forum: Set Theory, Logic, Probability, Statistics
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Graduate Equating Field of Elements via the Radix
Is there a way of calculating the field of elements in a system using the base? I expect that's the main way, I am just unlearned. For Example base phi: (1+√5)/2 has the FoE Q[√5] = Q + [√5]Q Is it just any non-rational elements are added to the field? what would base: (√2 / √7) be?- SubZir0
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- Elements Field
- Replies: 2
- Forum: Set Theory, Logic, Probability, Statistics
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Undergrad Why do irrational numbers result in uneven divisions?
Hey micromass, if you're still in here i wanted to try and clarify what i was babaling on about. When i was reading up on Phinary (Golden Ratio Base) it said it could finitely represent any elements in Q[√5] = Q + √5Q so I figured to solve Cloud Sync's problem you would need a number that is...- SubZir0
- Post #52
- Forum: Linear and Abstract Algebra
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Graduate Properties of the super-golden ratio?
Hmm, like the golden rectangle, the super golden rectangle has square related recursive properties: -> Say you have the supergolden rect and you draw a line in it to make a square, then you dot a line from the corner of the rect/square to the opposite corner of the rect you will have an...- SubZir0
- Post #2
- Forum: Linear and Abstract Algebra
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Undergrad Why do irrational numbers result in uneven divisions?
You would need a number system with a Field of Elements: Q[C] = Q + CQ where C is aleph-one (the infinite cardinal for any point between 0 and 1, for example)If irrational numbers grind your gears then transcendental numbers must twist you up something proper! Also fractal shapes are infinite...- SubZir0
- Post #11
- Forum: Linear and Abstract Algebra
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Graduate Imaginary Numbers: My Number System & Research Paper
Quater-Imaginary is a number system that Donald Knuth made that can represent complex numbers. There is a base -1+i that can model the Dragon Curve fractal. People who were interested in what this thread might have been, may like to come help me with my puzzle...- SubZir0
- Post #11
- Forum: Linear and Abstract Algebra
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Graduate How Can I Create a Pseudo-Pi Numerical Base System?
How could I construct a pseudo-base Pi? To represent any real interger? So far I've done Base (22/7) (fractional base), but i was thinking something like Base 180 (then do some stuff with degrees and radians)... Any ideas?- SubZir0
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- Base
- Replies: 2
- Forum: Linear and Abstract Algebra