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Experience: Difference between revisions
→Relation to level: We don't need laundry lists like this. Also, and this is just a minor quibble, but there are literally no game mascots except Pikachu in the Medium Fast group, so why would you say that most are?
(→Relation to level: We don't need laundry lists like this. Also, and this is just a minor quibble, but there are literally no game mascots except Pikachu in the Medium Fast group, so why would you say that most are?) |
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====Erratic==== | ====Erratic==== | ||
[[File:Expcalc erratic.png|thumb|right|390px|The equation for the Erratic experience group. At levels 50, 68, and 98, both formulas return equal values.]] | [[File:Expcalc erratic.png|thumb|right|390px|The equation for the Erratic experience group. At levels 50, 68, and 98, both formulas return equal values.]] | ||
The Erratic experience group, one of the two groups introduced in Generation III, features the lowest level 100 value for experience, at only 600,000 points. | The Erratic experience group, one of the two groups introduced in Generation III, features the lowest level 100 value for experience, at only 600,000 points. Nearly all Pokémon in this experience group were introduced in Generation III as well, with most of them being {{t|Bug}} or {{t|Water}} types. | ||
Receiving its name due to the highly erratic experience point requirement to reach the next level from level 68 to level 98, Pokémon in this group level up rather slowly in their lower levels, requiring the most experience to grow from level 1 to level 10 (1800 as compared to 1250 for Slow, the next highest requirement), and increase the rate of their growth at higher levels, requiring the least experience to grow from level 90 to level 100 (108654 points as compared to 216800 for Fast, the next lowest requirement). | Receiving its name due to the highly erratic experience point requirement to reach the next level from level 68 to level 98, Pokémon in this group level up rather slowly in their lower levels, requiring the most experience to grow from level 1 to level 10 (1800 as compared to 1250 for Slow, the next highest requirement), and increase the rate of their growth at higher levels, requiring the least experience to grow from level 90 to level 100 (108654 points as compared to 216800 for Fast, the next lowest requirement). | ||
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For a list of all Pokémon in this group, see {{cat|Pokémon in the Erratic experience group}}. | For a list of all Pokémon in this group, see {{cat|Pokémon in the Erratic experience group}}. | ||
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<pre>e(n) = { (2 - 0.02*n)(n^3); 0 < n <= 50 } | <pre>e(n) = { (2 - 0.02*n)(n^3); 0 < n <= 50 } | ||
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⌊x⌋ = Integer part of x, ie. ⌊9.999⌋ = 9. | ⌊x⌋ = Integer part of x, ie. ⌊9.999⌋ = 9. | ||
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====Fast==== | ====Fast==== | ||
[[File:Expcalc fast.png|thumb|right|134px|The equation for the Fast experience group]] | [[File:Expcalc fast.png|thumb|right|134px|The equation for the Fast experience group]] | ||
The Fast experience group is one of the four experience groups introduced in Generation I, with 800,000 experience points making for a level 100 Pokémon. Many common {{type|Normal}} Pokémon are in this group | The Fast experience group is one of the four experience groups introduced in Generation I, with 800,000 experience points making for a level 100 Pokémon. Many common {{type|Normal}} Pokémon are in this group. | ||
For a list of all Pokémon in this group, see {{cat|Pokémon in the Fast experience group}}. | For a list of all Pokémon in this group, see {{cat|Pokémon in the Fast experience group}}. | ||
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====Medium Fast==== | ====Medium Fast==== | ||
[[File:Expcalc mfast.png|thumb|right|117px|The equation for the Medium Fast experience group]] | [[File:Expcalc mfast.png|thumb|right|117px|The equation for the Medium Fast experience group]] | ||
Among all Pokémon, the most plentiful experience group is the Medium Fast group, which was also introduced in Generation I | Among all Pokémon, the most plentiful experience group is the Medium Fast group, which was also introduced in Generation I. Requiring Pokémon to have an even 1,000,000 experience points to be at level 100, it is by far the most average of the experience groups, and the one with the simplest equation: to be at a given level, any Pokémon in this group requires experience equal to that level {{wp|cube (algebra)|cubed}}. This group is also often called "cubic", due to its function being a simple cube of the level. | ||
This experience group actually grows more slowly than the Medium Slow group up until about level 68 (level 47, if considering amount of experience required to reach the next level). | This experience group actually grows more slowly than the Medium Slow group up until about level 68 (level 47, if considering amount of experience required to reach the next level). | ||
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====Medium Slow==== | ====Medium Slow==== | ||
[[File:Expcalc mslow.png|thumb|right|358px|The equation for the Medium Slow experience group]] | [[File:Expcalc mslow.png|thumb|right|358px|The equation for the Medium Slow experience group]] | ||
The Medium Slow experience group, like the Medium Fast group, accounts for many Pokémon, containing the second largest amount of them. All normal [[starter Pokémon]] are in this group | The Medium Slow experience group, like the Medium Fast group, accounts for many Pokémon, containing the second largest amount of them. All normal [[starter Pokémon]] are in this group. Requiring 1,059,860 experience points for a Pokémon to reach level 100, it is the only experience group whose level 100 experience is not evenly divisible by 10,000. | ||
The {{wp|inflection point}} for this polynomial function is actually at level 4, not level 0. Thus, it actually takes more experience points to go from level 2 to 3 than it does to go from 4 to 5. In Generations I and II, this mislocation of the inflection point causes the experience underflow glitch. | The {{wp|inflection point}} for this polynomial function is actually at level 4, not level 0. Thus, it actually takes more experience points to go from level 2 to 3 than it does to go from 4 to 5. In Generations I and II, this mislocation of the inflection point causes the experience underflow glitch. | ||
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The starter Pokémon are all at level 5 at the start, and are all in the Medium Slow group, so it appears that the Medium Slow group's experience formula was calculated with the starter Pokémon in mind. It is the only function to do so - all the other functions, being simple multiples of the cube of the level, have inflection points at Level 0, meaning that the number of experience points required to advance one level will always increase as the level increases because the level is positive. <!--speculation at its finest, but it has a point.--> | The starter Pokémon are all at level 5 at the start, and are all in the Medium Slow group, so it appears that the Medium Slow group's experience formula was calculated with the starter Pokémon in mind. It is the only function to do so - all the other functions, being simple multiples of the cube of the level, have inflection points at Level 0, meaning that the number of experience points required to advance one level will always increase as the level increases because the level is positive.--> <!--speculation at its finest, but it has a point. | ||
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For a list of all Pokémon in this group, see {{cat|Pokémon in the Medium Slow experience group}}. | For a list of all Pokémon in this group, see {{cat|Pokémon in the Medium Slow experience group}}. | ||