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    HarryPotter5777

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    [–] Constructing a Tangent Line to a Circle HarryPotter5777 1 points ago in mathriddles

    Does the construction of the tangent line itself count as one of the three uses?

    [–] Autonomy Puzzle by Decred Project. Over $8,000 Prize. HarryPotter5777 2 points ago in mathriddles

    Still a little more on the codebreaking/pattern-finding side of things than we aim for, but I've reapproved the post; thanks for the reply.

    [–] Euclidean Nim HarryPotter5777 6 points ago in mathriddles

    Consider the two points P,Q in S with the smallest distance from each other, and denote the players A and B. Note that A will not choose one of these points since B would choose the other and win, and B will not choose one of these points since A could move the other point to its pair and win. Once play has started, no player will move to these points; if, WLOG, A moves to P, B can then immediately move to Q and win. So any game in which the only available move is to one of P or Q is equivalent to a game where P and Q is not an available move, as it only shortens the conclusion of the game by 2 turns. Therefore, we may remove P and Q without altering the win conditions for either player. But now we have two new closest points, and we can repeat the above process. Either this comes down to one point left (win for A) or no points (win for B). So the winner is dependent solely on n, with the kth player winning iff n ≡ k mod 2.

    [–] Theoretically, could I browse *all* of reddit? HarryPotter5777 2 points ago in TheoryOfReddit

    Not without insane reading speeds and Wifi connections, but I assumed that was part of "in theory" in the original post.

    [–] Theoretically, could I browse *all* of reddit? HarryPotter5777 3 points ago in TheoryOfReddit

    I believe so, yes - IIRC, every post gets a score based on its votes and submission time, and reddit just sorts the page by those scores, so eventually you'd be able to reach a post from any time or popularity. Although of course you wouldn't be able to see subreddits that have opted out of /r/all or are private.

    [–] Radical ideas or experiments for comment sections in large subs - got any? HarryPotter5777 2 points ago in TheoryOfReddit

    Random tweaks that could be interesting:

    • You can't reply to a comment with more than 20 upvotes (though comments remain once their parent accrues enough votes)

    • Outside of a preselected list of simple words, no word can be used twice in a thread

    • Grammar rules from the wholesome network: make all users avoid any linguistic negatives, like "not", "isn't", "without", "cannot", etc.

    Actual improve-discussion type things (not necessarily all a good idea, but I could see any of these having some kind of positive impact):

    • Remove any top-level comments with less than 50 characters

    • Remove any comments with less than 300 characters and at least one grammar/spelling mistake from a list of common ones

    • No top-level comments entirely in caps lock

    • Scan for Flesch–Kincaid reading level and delete everything below 6th grade

    [–] Which person has the highest chance of winning? HarryPotter5777 2 points ago in mathriddles

    From a little later down in my solution:

    Note that it is always to a player's advantage to fire at the more accurate other player, since if they miss there is no difference, but if they hit they will be in a 2-person battle, which is proportional exclusively to their relative strengths.

    A will always fire at B, because firing at C will only give them 20% odds. This is independent of the ordering.

    [–] What does Martin do for money these days? HarryPotter5777 16 points ago in questionablecontent

    Marten still works at the library - we last saw him in it here.

    [–] Why do redditors can see my comments in other subs in profile? HarryPotter5777 6 points ago in TheoryOfReddit

    To emphasize accountability and honesty, and to provide context for a user's actions by showing their other posts and comments. Without public profiles, users essentially become anonymous, and the result (4chan) isn't very pretty.

    [–] Why do redditors can see my comments in other subs in profile? HarryPotter5777 7 points ago in TheoryOfReddit

    Your profile is public, with the exception of posts and comments you have deleted or which were made in private subreddits. If you want to do things on reddit that are not affiliated with your primary account, you should create an alt.

    [–] Please help me solve these easy problems for an interview! HarryPotter5777 1 points ago in mathriddles

    From the sidebar:

    Titles should be descriptive of the problem, and sensationalized titles such as "Completely stumped by this problem" or "One of my favorite puzzles" are discouraged.

    Codebreaking and "guess the rule" type posts are not permitted; if you wish to submit such a post, do so on subreddits such as /r/puzzles.

    As such, your post has been removed.

    [–] Why did this post get front-page and while mine did not, despite them having exactly the same content? HarryPotter5777 1 points ago in TheoryOfReddit

    Yours is longer so people are less likely to bother watching, it doesn't give the time of the game so it may be less impressive because users assume most of the 4 minutes are spent bowling, your timing may have been less well-adjusted for the schedules of the majority of reddit users in the continental US, and most importantly a huge amount of luck - if some random person downvotes the submission at the start it's already doomed. If it had gone the other way I could have supplied a bunch of potential explanations for why yours succeeded and the other failed; it really mostly comes down to timing and luck once you reach a certain level of quality content.

    [–] Should replying to a post automatically upvote the post? This would reinforce the sentiment that you should upvote posts that are relevant or worthy of discussion HarryPotter5777 38 points ago in TheoryOfReddit

    It certainly has that benefit, but it also means that a sufficiently horrible post or comment gets upvoted by virtue of the outrage it sparks. That's fairly rare though, and judging from the number of conversations I've seen where one user clearly isn't upvoting the other suggests that this might be a helpful feature since so many people forget to upvote.

    [–] An effective way to see the more diverse Reddit content is to "hide posts I've downvoted" in preferences and downvote every submission you aren't interested in. HarryPotter5777 4 points ago in TheoryOfReddit

    I suppose it benefits you in particular, but it causes people who might find that content interesting to see it less often and hurts the karma of people who post said content. Downvotes are supposed to be a response to actively unhelpful content, not just things that fail to match your particular interests - if you see too much of that, the problem is your subscriptions.

    [–] Which person has the highest chance of winning? HarryPotter5777 2 points ago in mathriddles

    If A goes first, A will fire at B, giving A and C both 50% chances of winning independent of B and C's relative ordering. The other 4 cases must be dealt with separately.

    First, note that B vs C is a scenario with no upper limit on the number of rounds, which varies based on who goes first. P(B|B first)=0.8+0.2*P(B|B last), and P(B|B last)=0.5*P(B|B first), so P(B|B first) is 8/9 and P(B|B last) is 4/9.

    Second, note that it is always to a player's advantage to fire at the more accurate other player, since if they miss there is no difference, but if they hit they will be in a 2-person battle, which is proportional exclusively to their relative strengths. If we have B-A-C, B fires at A, giving B an 80% chance of surviving with 4/9 odds, and a 20% chance of surviving with 0 odds. Thus, B has 16/45 survival odds, giving A 1/10 and C 49/90.

    With B-C-A, B fires at A, so we have 80% of 4/9 as before, plus 20% of P(B wins|C-A-B), which as illustrated below is also 4/9, so B has 4/9 odds here, giving A 1/20 odds and C 4/9+11/180=91/180.

    If we have C-A-B, C will win with 50% odds if they miss, and destroying A gives them a 1/9 chance of survival. So we have 1/4+1/18 = 11/36 odds for C, 1/4 odds for A, and 4/9 for B.

    If we have C-B-A, firing at A provides 50% odds of 49/90 (if missed), and 50% odds of 1/9 (if hit), yielding 1/20 odds for A, 28/45 for B, and 59/180 for C.

    In the end, we have

    • P(A)=1/6(0.5+0.5+0.1+0.05+0.25+0.05)=29/120≈0.242.

    • P(B)=1/6(0+0+16/45+4/9+4/9+28/45)=14/45≈0.311.

    • P(C)=1/6(1/2+1/2+49/90+91/180+11/36+59/180)=161/360≈0.447.

    This assumes that no player can avoid firing, though, and I believe the answers would change if that assumption were dropped.

    [–] How many combinations? HarryPotter5777 1 points ago in mathriddles

    From the sidebar:

    While math riddles of any difficulty are welcomed, please avoid posing problems whose solution is formulaic and/or trivial (e.g. "What number is 3 more than its double?") In general, if you might expect to see a problem on a typical school exam, don't post it here.

    As such, your post has been removed. If you want help with a homework problem, you should consult the sidebar for potential subs to post to instead.

    [–] Find f,g:ℝ→ℝ, f∘g decreasing, g∘f increasing HarryPotter5777 1 points ago in mathriddles

    What's the symbol in the definition of g(x)? It's rendering in a very small format on my browser.

    [–] The web redesign, CSS, and mod tools HarryPotter5777 2 points ago in modnews

    Oh, awesome! Thanks for the info, that's at least a little reassuring.

    [–] The web redesign, CSS, and mod tools HarryPotter5777 6 points ago in modnews

    Definitely. I'm not in favor of this particular change, but at least we're getting to hear about it months in advance instead of waking up one morning to find all our CSS gone.

    [–] The web redesign, CSS, and mod tools HarryPotter5777 41 points ago in modnews

    I agree in theory, but "easier for new mods to figure out" and "we'll have some calendar widgets but can't tell you anything else" doesn't sound to me like a more powerful or customizable system that will give subs more options in the long run.

    [–] The web redesign, CSS, and mod tools HarryPotter5777 13 points ago * (lasted edited 5 days ago) in modnews

    Easier-to-customize styling tools sound great (the minimal CSS I've done has been hard enough to figure out), I think it'll be a really good change for a lot of subs that want some personality but don't have the expertise or time on their mod team to implement that via CSS.

    But what I've seen in this thread so far sounds pretty sparse. Besides picking out the background color and maybe uploading an image or two, how much functionality is this new styling going to have? "Widgets" implies a few specific hard-to-customize things for the broadest/most popular subreddit requirements. Without massive amounts of work on this new system (i.e., basically reconstructing all the CSS mods have ever done), I can't see /r/mathriddles keeping its custom spoiler format and stylish post flairs. I don't anticipate /r/casualconversation keeping its cute upvote texts. The odds of /r/BetterEveryLoop keeping its brilliant diagonal vote system are basically zero. Ditto for the countless other subreddits that utilize CSS to implement beautiful UI or genius new functionality. Easy customization is nice, but it feels like this is going to come at the expense of the very best parts of reddit, and I don't think that's a worthwhile trade.

    One thing that might make this work is if there was a way for users to create and share their own widgets; even if you put 50 people on this, they can't recreate all the CSS for thousands of subreddits, but if the same people who made the original hacks are able to design widgets, some of these features might stick around.

    Could we get some kind of reassurance (if there's any to be had) that this change is going to be sufficiently customizable to recreate the critical things so many subreddits have utilized CSS for?