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Experience: Difference between revisions
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The amount of experience points a Pokémon has is tied directly to its level. Though the amount varies depending on species, always remaining consistent throughout an [[List of Pokémon by evolution family|evolutionary family]], a given amount of experience points will always set a Pokémon at the corresponding level. [[Wild Pokémon]] of any level will always have the base amount of experience required to reach that level when caught, as will Pokémon hatched from Eggs. | The amount of experience points a Pokémon has is tied directly to its level. Though the amount varies depending on species, always remaining consistent throughout an [[List of Pokémon by evolution family|evolutionary family]], a given amount of experience points will always set a Pokémon at the corresponding level. [[Wild Pokémon]] of any level will always have the base amount of experience required to reach that level when caught, as will Pokémon hatched from Eggs. | ||
All Pokémon [[List of Pokémon by experience type|fall into one]] of six experience groups, four of which were introduced in [[Generation I]], and two of which were introduced in [[Generation III]]. The main difference between these experience groups is the amount of experience points required to reach level 100, and thus, the amount required to reach each level. | All Pokémon [[List of Pokémon by experience type|fall into one]] of six experience groups, four of which were introduced in [[Generation I]], and two of which were introduced in [[Generation III]]. The main difference between these experience groups is the amount of experience points required to reach level 100, and thus, the amount required to reach each level. The names used for these groups below are fan descriptions, as they have not received official names. | ||
The original four functions, the ones for the Fast, Medium Fast, Medium Slow, and Slow groups, are {{wp|cubic function|cubic}}. The two that were added in Generation III (Erratic and Fluctuating), however, are made by multiplying the cube of the level by a linear function of it (a negative slope one in the case of Erratic, going from 2 to 0.6; and a positive slope one in the case of Fluctuating, going from 0.48 to 1.64), making those functions effectively {{wp|quartic function|quartic}}. | {| class="roundtable" style="border:2px solid #{{soulsilver color dark}}; background:#{{soulsilver color}}" | ||
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! Index !! Description !! Exp. Points at level 100 | |||
|- | |||
| 0 || {{DL||Medium Fast}} || class="r" | 1,000,000 | |||
|- | |||
| rowspan="2" | 1 || {{DL||Erratic}}<sup>Gen. III+</sup> || class="r" | 600,000 | |||
|- | |||
| [[#Trivia|Slightly Fast]] <small>(unused)</small><sup>Gen. I-II</sup> || class="r" | 849,970 | |||
|- | |||
| rowspan="2" | 2 || {{DL||Fluctuating}}<sup>Gen. III+</sup> || class="r" | 1,640,000 | |||
|- | |||
| [[#Trivia|Slightly Slow]] <small>(unused)</small><sup>Gen. I-II</sup> || class="r" | 949,930 | |||
|- | |||
| 3 || {{DL||Medium Slow}} || class="r" | 1,059,860 | |||
|- | |||
| 4 || {{DL||Fast}} || class="r" | 800,000 | |||
|- | |||
| 5 || {{DL||Slow}} || class="r" | 1,250,000 | |||
|- | |||
| 6 || Medium Fast <small>(unused)</small><sup>Gen. III+</sup> || class="r" | 1,000,000 | |||
|- | |||
| 7 || Medium Fast <small>(unused)</small><sup>Gen. III+</sup> || class="r" | 1,000,000 | |||
|} | |||
All those introduced in Generation I are only {{wp|polynomial}} {{wp|Function (mathematics)|functions}} of the level, while the two introduced in Generation III operate as {{wp|piecewise}} functions, changing the equation depending on the level range. The original four functions, the ones for the Fast, Medium Fast, Medium Slow, and Slow groups, are {{wp|cubic function|cubic}}. The two that were added in Generation III (Erratic and Fluctuating), however, are made by multiplying the cube of the level by a linear function of it (a negative slope one in the case of Erratic, going from 2 to 0.6; and a positive slope one in the case of Fluctuating, going from 0.48 to 1.64), making those functions effectively {{wp|quartic function|quartic}}. | |||
Although the various experience groups' level-up rates can be calculated using an equation, from Generation III onward, the games use a {{wp|lookup table}}. This ensures that the Medium Fast, Medium Slow, and Slow experience groups have 0 experience at level 1, preventing a glitch associated with the Medium Slow formula at level 1 that occurs in the Generation I and II games. | Although the various experience groups' level-up rates can be calculated using an equation, from Generation III onward, the games use a {{wp|lookup table}}. This ensures that the Medium Fast, Medium Slow, and Slow experience groups have 0 experience at level 1, preventing a glitch associated with the Medium Slow formula at level 1 that occurs in the Generation I and II games. | ||