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Prepared for the Experience Weekend & A Little Bit of Proofs


Makoto_the_Phoenix

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Ready for the Experience Weekend

 

(erroneously called "Double Exp Weekend"):

 

2ms4n4h.jpg

 

Taking a good look at that...30.2M. What I had bought were some of the seconds, all of the shards, and some of the Summoning reagents. That's it. I didn't directly spend a single GP on any of those herbs; proof that MTK pays big dividends.

 

(Not listed: The sharks involved getting Bunyips, nor the counts of the charms.)

 

All told, this stack of stuff in normal times would get me about:

 

333,857,5 exp in Herblore (+2 levels),

281,456 exp in Summoning (+2 levels),

105,000 exp in Runecrafting, (+2 levels),

No less than 35,820 exp in Crafting, (+0 levels)

and un-computable amounts of experience in Magic/Agility/Thieving.

 

 

It's not nearly as insane as you think - it's not likely I can get those values in an hour (with the exception of Crafting - that's probably dead easy), so the experience rate I get, while substantially high, isn't going to go nuts on the world.

 

---

 

A Formal Proof for Unique/Rare RuneScape Names

(The proof to end all debate about rare names)

 

For those that have seen logic notation before, or know set notation, this should come as a bit of a laugh to you.

 

14tpxfl.jpg

 

What does it state?

 

Basically, we create a universe denoted by the script U of all the usernames that exist in RuneScape. Then, we state as a given fact that your name is in that universe.

 

We create another variable n to represent universal and existential quantifiers to demonstrate the proof (your name only occurs once, remember?).

 

The proof reads, starting from the 'upside-down' A:

 

"For all n (in the set U), there exists one and only one x (in the set U) such that x is not equal to n."

 

Quod Erat Demonsratum (and thus, is proven).

 

For those that are actually doing proof-based logic or First-Order Predicate Calculus, please let me know what mistakes I've made at 5:30 in the morning.

Okay, I realize my goof - the "there exists" should be in front of the "for all", so it would read like this:

 

"There exists one and only one x (in the set U) such that, for all n (in the set U), x is not equal to n."

 

I'll edit it out later. Sleep now.

 

---

 

Before I forget:

 

TK>> stats
<Makoto_D> Level: 131.700 [122.700 F2P] (Melee-based) | Overall:  2019 | Attack:  98 | Defence:  98 | Strength:  98 | Hitpoints:  99 | Ranged:  93 | Prayer:  78 | Magic:  86 | Cooking:  88 | Woodcutting:  85 | Fletching:  85 | Fishing:  88 | Firemaking:  87 | Crafting:  80 | Smithing:  92 | Mining:  86 | Herblore:  76 | Agility:  76 | Thieving:  82 | Slayer:  91 | Farming:  72 | Runecrafting:  64 | Hunter:  80 | Construction:  65 | Summoning:  72 | Duel Tournament:  N/A | Bounty Hunters:  N/A | Bounty Hunter Rogues:  N/A | Fist of Guthix:  1037
TK>> skill Summoning    
<Makoto_D> [summoning] | Level: 72 | Rank: 81,266 | Experience: 900,432 | Amount of experience to go to 73: 92,463
TK>> skill Crafting
<Makoto_D> [Crafting] | Level: 80 | Rank: 56,952 | Experience: 1,990,383 | Amount of experience to go to 81: 202,435
TK>> skill Magic
<Makoto_D> [Magic] | Level: 86 | Rank: 171,582 | Experience: 3,664,021 | Amount of experience to go to 87: 308,273
TK>> skill Herblore
<Makoto_D> [Herblore] | Level: 76 | Rank: 46,586 | Experience: 1,352,152 | Amount of experience to go to 77: 123,429
TK>> skill Runecrafting
<Makoto_D> [Runecrafting] | Level: 64 | Rank: 115,140 | Experience: 420,472 | Amount of experience to go to 65: 28,956
TK>> skill Agility
<Makoto_D> [Agility] | Level: 76 | Rank: 35,705 | Experience: 1,369,736 | Amount of experience to go to 77: 105,845
TK>> skill Thieving
<Makoto_D> [Thieving] | Level: 82 | Rank: 31,716 | Experience: 2,479,308 | Amount of experience to go to 83: 193,806

 

 

A little output from a script I wrote to extract my stats from the high scores. I want to do a comparison of these at the end of the weekend.

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Your logic contradicts itself (and yes, I'm talking about the revised version). It would be better to simply say that by the definition of a set, if x is an element of U, then x is unique. Thus, all Runescape names are unique.

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