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    CompSci Weekend SuperThread (August 28, 2020) Computer Science

    CompSci Weekend SuperThread (August 28, 2020) Computer Science


    CompSci Weekend SuperThread (August 28, 2020)

    Posted: 27 Aug 2020 06:04 PM PDT

    /r/compsci strives to be the best online community for computer scientists. We moderate posts to keep things on topic.

    This Weekend SuperThread provides a discussion area for posts that might be off-topic normally. Anything Goes: post your questions, ideas, requests for help, musings, or whatever comes to mind as comments in this thread.

    Pointers

    • If you're looking to answer questions, sort by new comments.
    • If you're looking for answers, sort by top comment.
    • Upvote a question you've answered for visibility.
    • Downvoting is discouraged. Save it for discourteous content only.

    Caveats

    • It's not truly "Anything Goes". Please follow Reddiquette and use common sense.
    • Homework help questions are discouraged.
    submitted by /u/AutoModerator
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    New Applied Category Theory Server

    Posted: 27 Aug 2020 10:09 AM PDT

    Applied Category Theory discord Server at https://discord.gg/gwfC6pr. The idea is to promote the application of Category Theory to other disciplines and to help others learn category theory so that they can apply it to thinking about their problems in various subjects outside mathematics. It is an experiment to see whether there are enough people interested in this mathematical subject to form a vibrant community online. If you know Category Theory and want to teach others about it so they can use it, or you want to learn about Category Theory to apply it to your specialized discipline outside mathematics then this is the place for you. It is brought to you by the folks that sponsor the Analytical Philosophy Server https://discord.gg/rZVdrPE and the Continental Philosophy Server https://discord.gg/BcaA9fn @cont0phil

    submitted by /u/kentpalmer
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    Apple Panel Interview Preparation

    Posted: 28 Aug 2020 02:32 AM PDT

    Hey guys and gals!

    I'm an iOS developer with about 5 years experience, currently working in the industry.

    So I made it past a phone screen to the panel interview at Apple. It's 4-5 hours and done remotely because we are all living in a pandemic.

    So I just wanted good tips to best prepare and how much time I should spend preparing (1 week, 2 weeks, more?) I'll ask the recruiter these questions as well, but if anyone has gone through the panel process for the ApplePay team, please let me know.

    submitted by /u/zombiezucchini
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    Novel Version of PageRank, CheiRank and 2DRank for Wikipedia in Multilingual Network Using Social Impact

    Posted: 28 Aug 2020 02:26 AM PDT

    Advice on Google Online Coding Challenge

    Posted: 27 Aug 2020 11:29 PM PDT

    I am a final year CSE undergrad from India and have my GOCC test tomorrow. Does anyone have any last-minute advice and tips to help do well in the test?

    submitted by /u/ameyaGG
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    Create 3d photos from old photos as well!

    Posted: 27 Aug 2020 08:22 PM PDT

    Cloud issues you should kmow

    Posted: 27 Aug 2020 10:44 PM PDT

    A Note on Provability

    Posted: 27 Aug 2020 02:46 PM PDT

    It is necessarily the case that you can eventually generate all possible finite proofs on a UTM. It also necessarily the case that you can eventually generate all possible theorems on a UTM. This follows trivially from the fact that both proofs and theorems are finite collections of characters from some finite alphabet. As a result, it is necessarily the case, that you can generate all proofs, and all theorems, given enough time.

    In this view, where we mechanistically generate all theorems and proofs, being able to prove a theorem is being able to connect a given theorem to its proof, since as demonstrated, generating all possible theorems and proofs is trivial, given enough time on a UTM. At the same time, Gödel's First Incompleteness Theorem states that it is not as a general matter possible to prove or disprove all statements within a formal system. Therefore, Gödel's theorem implies that we cannot map every theorem to its proof, since that would be equivalent to being able to prove every theorem in the system, which is forbidden by the theorem.

    As a corollary, it must be the case that there is no computable mapping from the set of theorems to the set of proofs. If you assume otherwise, then you can prove every theorem in the system using a computable function, which would certainly violate Gödel's theorem.

    Does Gödel's theorem preclude the existence of any such mapping as a general matter?

    Or, does it imply that such any such mapping is not computable?

    Original post here:

    https://derivativedribble.wordpress.com/2020/08/27/a-note-on-provability/

    submitted by /u/Feynmanfan85
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    [R] Intel Lab Transforms Your Phone into a Robot for $50

    Posted: 27 Aug 2020 11:42 AM PDT

    A couple of Intel Labs researchers have proposed a novel method for building a robot called "OpenBot" on just a US$50 budget. Complete design and implementation information has been open-sourced, all you need to supply is the brain and sensory system — your smartphone.

    Here is a quick read: Intel Lab Transforms Your Phone into a Robot for $50

    The paper OpenBot: Turning Smartphones into Robots is on arXiv.

    submitted by /u/Yuqing7
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    How's the book elements of discrete mathematics by Cl liu?

    Posted: 27 Aug 2020 10:40 AM PDT

    A Note on Computability

    Posted: 27 Aug 2020 12:36 PM PDT

    When I studied the non-computable numbers in college, I remember thinking that existing proofs were pointlessly longwinded, since you could show quite plainly, that because the reals are uncountable, and the number of programs that can be run on a UTM is countable, there are more real numbers than there are programs, which proves the existence of non-computable numbers. That is, there aren't enough programs to calculate all of the reals, and so it must be the case that some real numbers aren't associated with programs, and are therefore non-computable.

    But it just dawned on me, that you could have this result, even without resorting to the fact the reals are uncountable, since it could simply be the case that the set of all inputs to a UTM maps to some countable, proper subset of a countable subset of the reals. Expressed formally, let S \subset R, and assume that S is countable. That is, S is a countable subset of the reals, and because it's countable, it's a proper subset (i.e., obviously, S does not contain all of the reals). It could be simply be the case that the set of all inputs to a UTM, A, maps to only a subset of S. That is, even though S is countable, it could could still be the case that A maps to only a subset of S, and not the entire set.

    Here's a concrete example: Let K be the set of all non-computable numbers, which you can easily show is uncountable. Now let S be a countable subset of K. It follows that there is no mapping at all from A to S, since by definition, for each x \in S, there is no program that calculates x.

    So aside from this little result, I suppose the point is, that even if all of the reals don't exist, you could still be stuck with non-computable numbers.

    Original post here:

    https://derivativedribble.wordpress.com/2020/08/27/a-note-on-computability/

    submitted by /u/Feynmanfan85
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    Top 10 Best FREE Artificial Intelligence Courses from Harvard, MIT and Stanford

    Posted: 27 Aug 2020 06:57 AM PDT

    Meet Silq- The First Intuitive High-Level Language for Quantum Computers

    Posted: 27 Aug 2020 05:22 AM PDT

    11 Must-Know Machine Learning Algorithms for AI Professionals

    Posted: 27 Aug 2020 05:22 AM PDT

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