Recent content by Relative0

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    Graduate Bra-ket notation and qubit issue.

    Thanks kith. Well as far as superposition goes - I am not quite sure of the definition he (Preskill) is using in his Notes: www.theory.caltech.edu/people/preskill/ph229/notes/book.ps‎ I am guessing just some sort of overlap of states that is treated as a vector space. I say this as he...
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    Graduate Bra-ket notation and qubit issue.

    I am having trouble understanding the following: Uf: |x>|y> → |x>|y \oplusf(x)> \oplus being a mod 2 operation (nand)? I suppose I don't understand how to read the "ket" states so well. As far as I understand we have that since x and y can be 0,1 only if |x=1>|y=1> then if f(x) = 1 then...
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    Graduate Principle curvature: min and max curvature are always perpendicular?

    Thanks Quasar! I am a little confused and am hoping you might clarify I am guessing you mean maybe c and c' as t1 and t2 are orthonormal? Also that the normal curvature of c is (c')^T II c'. I don't see what that could be. Perhaps you might be able to clarify? Thanks much though...
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    Graduate Principle curvature: min and max curvature are always perpendicular?

    I am trying to understand Gaussian curvature. This led me into looking at principle curvature. Now If one takes a look at the picture of the "Saddle Surface" on Wikipedia here: http://en.wikipedia.org/wiki/Principal_curvature I see that at the point p on the saddle where curvature goes both...
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    Who's working on Strong AI and where?

    Thanks DrZoidberg, Yes, the consciousness ambiguity is a difficult problem, do you know if there have been any strong candidates for at least partially defining the term? Brian
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    Who's working on Strong AI and where?

    @goingmeta - thanks. The question "What is Consciousness" is a great one indeed, lots of thoughts on that one. That article is a great start. If anything else comes to mind, please drop a link or name. Brian
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    Who's working on Strong AI and where?

    Who's working on "Strong AI" and where? Time for me to move on for my PhD. I have become increasingly interested (have a theory of my own as I am sure many do) in Strong AI. There seem to be a decent number of postings (perhaps small in comparison with other areas of CS), those however are...
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    Graduate No metric on S^2 having curvature bounded above or below by 0

    Thanks Lavinia for the in depth description, it very much helps for the intuition. Brian
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    Graduate How to show that a locally diffeomorphic mapping from R to R is open?

    Let f: R -> R be a local diffeomorphism (diffeomrophism in a neighborhood of each point). Show that the image of R under f is an open interval. Furthermore show that f is a diffeomorphism of R on to f(R). Ok, here is what I am thinking.. that since we are dealing with a "diffeomorphism" we...
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    Graduate No metric on S^2 having curvature bounded above or below by 0

    thanks fzero. This is a course in Differential Geometry. I read through the Gauss-Bonnet Theorem from the Wiki (very interesting) and see how curvature comes in - so does "curvature above bounded by 0" mean something like that it has to have negative curvature - or that it is concave...
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    Graduate No metric on S^2 having curvature bounded above or below by 0

    So I ran into a question; Show that there is no metric on S^2 having curvature bounded above by 0 and no metric on surface of genus g which is bounded below by 0. honestly I have no idea what is going on here. I know that a Genus is the number of holes in some manifold or the number of...