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  1. #561
    Player
    HyoMinPark's Avatar
    Join Date
    Feb 2016
    Location
    Lavender Beds, Ward 13, Plot 41
    Posts
    7,339
    Character
    Hyomin Park
    World
    Cactuar
    Main Class
    Sage Lv 92
    Quote Originally Posted by Fynlar View Post
    Not a fan of the math boss; I am perfectly fine with basic math, but it still took me months of not realizing why I was failing it and getting killed before I learned how to do it correctly because I didn't realize that it used your HP to give your "response" and that the 1-2-3-4 platforms you stand in are not supposed to be your "response". It wasn't explained very well.
    Your HP is reduced to a certain threshold, and you utilize the 1-2-3-4 platforms to increase your HP if need be. Like, say your HP is reduced to 2, but you need to provide Construct 7 with multiples of 3. You step into the 1 platform to make your HP 3, which is a multiple of 3. So, you do use the platforms to manipulate your “response” if your HP alone is insufficient.
    (2)
    Sage | Astrologian | Dancer

    마지막 날 널 찾아가면
    마지막 밤 기억하길

    Hyomin Park#0055

  2. #562
    Player Mhaeric's Avatar
    Join Date
    Apr 2012
    Location
    Vancouver, BC
    Posts
    2,141
    Character
    Mhaeric Llystrom
    World
    Balmung
    Main Class
    Red Mage Lv 97
    Quote Originally Posted by Fynlar View Post
    I still think it's crap that it isn't, to be honest. It's pretty similar to my feelings about how Pluto should still be a planet.
    If you make 1 a prime it breaks a lot of theorems, but most importantly the fundamental theorem of arithmetic which states that every positive integer greater than one can be written uniquely as a product of primes. E.g. 2 x 3 = 6. Include 1 as a prime, and you end up with infinitely many products of primes for any positive integer. E.g. 1 x 2 x 3, 1 x 1 x 2 x 3, and so on.
    (7)

  3. #563
    Player
    Fynlar's Avatar
    Join Date
    Jan 2014
    Posts
    2,992
    Character
    Fynlar Eira
    World
    Hyperion
    Main Class
    Red Mage Lv 100
    Your HP is reduced to a certain threshold, and you utilize the 1-2-3-4 platforms to increase your HP if need be. Like, say your HP is reduced to 2, but you need to provide Construct 7 with multiples of 3. You step into the 1 platform to make your HP 3, which is a multiple of 3. So, you do use the platforms to manipulate your “response” if your HP alone is insufficient.
    Yeah I got it several months down the line, but before that there was a whole lot of "but I stepped in the right platform; why isn't it working?"


    If you make 1 a prime it breaks a lot of theorems, but most importantly the fundamental theorem of arithmetic which states that every positive integer greater than one can be written uniquely as a product of primes. E.g. 2 x 3 = 6. Include 1 as a prime, and you end up with infinitely many products of primes for any positive integer. E.g. 1 x 2 x 3, 1 x 1 x 2 x 3, and so on.
    I'm not seeing the issue with that tbh. Infinity is a concept that already shows up elsewhere in math; if someone wants to be obtuse and write 8 as 1x1x1x1x2x2x1x1x2 I say let em.
    (0)
    Last edited by Fynlar; 08-27-2019 at 11:42 AM.

  4. #564
    Player Mhaeric's Avatar
    Join Date
    Apr 2012
    Location
    Vancouver, BC
    Posts
    2,141
    Character
    Mhaeric Llystrom
    World
    Balmung
    Main Class
    Red Mage Lv 97
    There's a reason it's called the fundamental theorem of arithmetic. Unique factorization of primes factors into so many other proofs and theorems that if you break that it breaks a lot of other math. Keyword there is unique. If one is a prime there are no unique factorizations and proofs break left, right and centre. To be fair, 1 used to be considered a prime, but the definition of primes was updated to be more precise and thus exclude 1 as these other branches of math were discovered or better understood. 1 is better understood as a unit. Interestingly, other branches of math have their own equivalent definitions of primes which also classify 1 or their unit equivalent as not a prime as well by similar properties.

    The fact that infinity is a concept in math doesn't mean squat. You have to have a proof why something matters or doesn't matter.
    (4)

  5. #565
    Player
    Granyala's Avatar
    Join Date
    Sep 2014
    Posts
    1,635
    Character
    Ifalna Sha'yoko
    World
    Cerberus
    Main Class
    White Mage Lv 100
    Quote Originally Posted by Melichoir View Post
    But more difficult dungeon content to help raise that skill floor for players, especially at the lower levels, will be better overall.
    Yeah MMOs fail pretty miserably at the "gentle increase in difficulty". It's usually just faceroll easy until you hit the brickwall of difficulty that is organized raiding.
    (0)

  6. #566
    Player
    Callinon's Avatar
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    May 2014
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    ???
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    1,557
    Character
    Callinon Soulforge
    World
    Ultros
    Main Class
    Dancer Lv 90
    Quote Originally Posted by Mhaeric View Post
    If you make 1 a prime it breaks a lot of theorems, but most importantly the fundamental theorem of arithmetic which states that every positive integer greater than one can be written uniquely as a product of primes. E.g. 2 x 3 = 6. Include 1 as a prime, and you end up with infinitely many products of primes for any positive integer. E.g. 1 x 2 x 3, 1 x 1 x 2 x 3, and so on.
    I won't pretend to be well versed in mathematical theorems, but just from what you've said... if 1 isn't a prime number, how can any prime number fit the theorem? A prime number (as I understand it) has factors of only 1 and itself. But if every positive integer must be a product of primes, how does any prime number work if 1 is not prime?

    I'm not trying to be obtuse here, I actually just don't understand it in the context of what you've described.
    (1)

  7. #567
    Player Mhaeric's Avatar
    Join Date
    Apr 2012
    Location
    Vancouver, BC
    Posts
    2,141
    Character
    Mhaeric Llystrom
    World
    Balmung
    Main Class
    Red Mage Lv 97
    Quote Originally Posted by Callinon View Post
    I won't pretend to be well versed in mathematical theorems, but just from what you've said... if 1 isn't a prime number, how can any prime number fit the theorem? A prime number (as I understand it) has factors of only 1 and itself. But if every positive integer must be a product of primes, how does any prime number work if 1 is not prime?

    I'm not trying to be obtuse here, I actually just don't understand it in the context of what you've described.
    A product can include just itself... sort of. I know it's not intuitive, but it's there. The formal definition is usually expressed as a product of powers of primes and in simplified form is n = p1^i * p2^j ... and so on. N is the number you want to make out of primes, and p are the primes. E.g. 6 = 2^1 * 3^1. Some numbers just have a single p like 8 = 2^3. Prime numbers are just the simplest case of single p and the power it is raised to is just 1. E.g. 5 = 5^1.

    And to get a bit more abstract, technically this means that all numbers include all primes as part of their product using this definition since p^0 = 1. I.e. the full product of primes for 5 is: 5 = 2^0 * 3^0 * 5^1 * 7^0 * 11^0 * ... etc. This is allowed since it still uniquely defines the number despite having an infinite number of terms. E.g. you will always have 3^0 and 5^0 as factors in 14 and changing those or any other term with power 0 will change the number. The number 1 breaks this, because 1 to any power is still 1 so it doesn't change the result. This means that if p were allowed to be 1 there would be no more unique factorization where n = p1^i * p2^j ... and so on. E.g. 5 = 1^0 * 5^1 = 1^1 * 5^1 = etc.

    Edited: great question by the way! That's exactly the right kind of thinking to approach the problem.
    (6)
    Last edited by Mhaeric; 08-27-2019 at 01:51 PM.

  8. #568
    Player
    Callinon's Avatar
    Join Date
    May 2014
    Location
    ???
    Posts
    1,557
    Character
    Callinon Soulforge
    World
    Ultros
    Main Class
    Dancer Lv 90
    Quote Originally Posted by Mhaeric View Post
    A product can include just itself... sort of. I know it's not intuitive, but it's there. The formal definition is usually expressed as a product of powers of primes and in simplified form is n = p1^i * p2^j ... and so on. N is the number you want to make out of primes, and p are the primes. E.g. 6 = 2^1 * 3^1. Some numbers just have a single p like 8 = 2^3. Prime numbers are just the simplest case of single p and the power it is raised to is just 1. E.g. 5 = 5^1.

    And to get a bit more abstract, technically this means that all numbers include all primes as part of their product using this definition since p^0 = 1. I.e. the full product of primes for 5 is: 5 = 2^0 * 3^0 * 5^1 * 7^0 * 11^0 * ... etc. This is allowed since it still uniquely defines the number despite having an infinite number of terms. E.g. you will always have 3^0 and 5^0 as factors in 14 and changing those or any other term with power 0 will change the number. The number 1 breaks this, because 1 to any power is still 1 so it doesn't change the result. This means that if p were allowed to be 1 there would be no more unique factorization where n = p1^i * p2^j ... and so on. E.g. 5 = 1^0 * 5^1 = 1^1 * 5^1 = etc.

    Edited: great question by the way! That's exactly the right kind of thinking to approach the problem.
    Thanks, that actually does make a lot more sense when explained with exponents.
    (3)

  9. #569
    Player
    RoyalBeef's Avatar
    Join Date
    Oct 2018
    Posts
    404
    Character
    Tiny Tina
    World
    Omega
    Main Class
    Machinist Lv 80
    Quote Originally Posted by Melichoir View Post
    Math Boss and Hashmal were good bosses. But Im of hte mindset we need to increase difficulty of the dungeons from the bottom up. If that means increasing exp values as well so it evens out, so be it. But more difficult dungeon content to help raise that skill floor for players, especially at the lower levels, will be better overall. The issue with current dungeons is they end up teaching players to face roll content instead of teaching them "Yes, you can wipe in this content, even with better gear. So play better and pay attention."
    Imo Hashmal, or in general all of Rabanstre, was good because it has no obstruse mechanics. It can be your first run and it's pretty clear what's going on at all times, it just comes down to execution. A first timer going blind can understand and pick up mechanics on the fly.

    Then there are the raids with obstruse stuff. Like Mustadio... I got that he was about to snipe me, but why would I have to face the open side of my ring towards him and not the solid side? It makes zero sense and is counter intuitive, so ofc I got obliterated the first time. Cheap deaths like that make you blame the game tho, and rightfully so. If it was 100% clear whats expected of me and I still failed, then I would blame myself for doing something wrong/being bad.
    (3)

  10. #570
    Player
    Fynlar's Avatar
    Join Date
    Jan 2014
    Posts
    2,992
    Character
    Fynlar Eira
    World
    Hyperion
    Main Class
    Red Mage Lv 100
    The fact that infinity is a concept in math doesn't mean squat. You have to have a proof why something matters or doesn't matter.
    Why does it "matter" if integers greater than 1 can all be products of primes? Sounds to me like that's something that matters only because we've arbitrarily decided it does, much like how it seems rather arbitrary to exclude 1 as a prime simply because "well then you could just say 1x1x1x1x1..."
    (0)

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