Recent content by Bluskyz

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    Symbol in Alan Turing's On Computable Numbers

    In Alan Turing's On Computable Numbers, he explains in his second paragraph the general notion of computable numbers. In doing so, he writes "In [symbol][symbol] 9, 10 I give some arguments...". I will include a screenshot of these symbols in this post. Do any of you know what these symbols...
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    Best path for studying physics and computer science

    I am a senior right now in high school and am pretty much deciding the beginning of the rest of my career right now. Ultimately, I would love to study both physics and computer science with either a double major or with computational physics. I love learning about mathematics, physics, computer...
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    How is information sent to and interpreted by computer monitors?

    Thanks for your reply. I looked a bit more into this and it turns out that there are television protocols such as NTSC and PAL, albeit these aren't far computers as far as I know. From what I can tell, early black and white TVs and later color ones pretty much did send pulses of current down a...
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    How is information sent to and interpreted by computer monitors?

    I've been wandering about the protocol or method by which computer monitors receive and interpret information it is sent. Can the information be send down a single wire in a series of pulses? Say for example, you had a monitor that could interpret the following string of code: 1111 1010 1010...
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    A Generalized Quadratic Formula

    Just over two years ago, I was introduced to the process of completing the square as a way to solve the roots in a quadratic equation. More recently, I've thought about how I could go about extending this to completing the cube. The following short story/proof is the result of during just that...
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    Can We Visualize the Fifth Dimension?

    I've been thinking about this problem of how we could possibly visualize the fifth dimension. The fourth dimension is easy enough as all you have to do is view a 3D projection of the object as it moves through 3D space. If you look at animations of the projection of a 4D hypercube you'll know...
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    Efficient Design of a Full Adder with Karnaugh Maps

    Ok, that makes sense. Thank you for your reply.
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    Efficient Design of a Full Adder with Karnaugh Maps

    Just a quick apology for the long post. Recently I have been looking into digital circuit design and how karnaugh maps can help you simplify a logic table to simple gates. I extended this idea to trying to derive the most efficient full adder design and came up with the following logic table for...
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    How would this equation be simplified?

    Yes! I see it now, thanks for your help :)
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    How would this equation be simplified?

    I tried that but on the bottom, you would still be left with 1-(tanx)^2
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    How would this equation be simplified?

    Homework Statement To satisfy my curiosity, I tried to come up with an equation that describes how a line reflects off a parabola. The equation I came up with is [(tan[2*arctan(-y/50)]*[1000-(y^2)])/100]+y This equation works wonderfully but its just large and ugly. The wolfram alpha site...
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    Where can I find Pierre-Simon Laplace's Mécanique Céleste?

    Thanks, I think 4 volumes will suffice. I don't know why I couldn't find the third and fourth volumes. Thanks again :)
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    Where can I find Pierre-Simon Laplace's Mécanique Céleste?

    I checked archive.org and they seem to only have volume one and maybe two.
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    Where can I find Pierre-Simon Laplace's Mécanique Céleste?

    I've been hunting for all five volumes of Mécanique Céleste by Laplace but I can't find all 5 translated to English. I found volumes one and five on Google books but the other three have remained hidden to me. Anybody who has a copy of this book or knows where to find a copy, please share your...
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    Outlining the fields of astrophysics and particle

    I currently am a high school student who is interested in pursuing a career in astrophysics/astrodynamics (anything to do with bodies in space and their movements, celestial mechanics I guess). I was wondering what courses/classes should I take in high school and college to pursue this career. I...
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