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EVE Math

Agent Effective Quality

Agent_Effective_Quality = Agent_Quality + (5 * Negotiation_Skill_Level) + Round_Down(Effective_Standing)

Effective_Standing is the highest effective of either personal, corp. or faction standing.

Effective Attribute

Effective_Attribute = (Base_Attribute + Basic_Learning_Skill + Advanced_Learning_Skill + Implant) * (1 + (0.02 * Learning_Skill_Level))

Base_Attribute is the attribute level that you got during the character creation. The values are visible in the XML datasheet you can download from the EVE homepage.

Effective Refining Yield

Effective_Refining_Yield = Min(Station_Equipment_Yield + (0.375 * (1 + (Refining_Skill_Level * 0.02)) * (1 + (Refining_Efficiency_Skill_Level * 0.04)) * (1 + (Ore_Specific_Processing_Skill_Level * 0.05))), 1.00)

Effective Standing

Effective_Standing = Your_Standing + ((10 - Your_Standing) * (0.04 * (Connections_Skill_Level | Diplomacy_Skill_Level)))

Connections_Skill_Level is used when Your_Standing is larger than 0.0
Diplomacy_Skill_Level is used when Your_Standing is less than 0.0

Blueprint Material Requirement

Required_Amount = Round(Base_Amount * ((1 + (Default_Blueprint_Waste_Factor / (1 + Blueprint_Material_Level))) + (0.25 - (0.05 * Production_Efficiency_Skill_Level))), 0)

Invention Chance

Invention_Chance = Base_Chance * (1 + (0.01 * Encryption_Skill_Level)) * (1 + ((Datacore_1_Skill_Level + Datacore_2_Skill_Level) * (0.1 / (5 - Meta_Level)))) * Decryptor_Modifier

Meta_Level of the base items used. No base items is the same as metalevel 0 = useless.
Decryptor_Modifier is optional :-)

Reverse Engineering Chance

Reverse_Chance = Base_Chance * (1 + (0.01 * Reverse_Engineering_Skill_Level)) * (1 + (0.1 * (Datacore_1_Skill_Level + Datacore_2_Skill_Level)))

Research Points Per Day

Reseaerch_Points_Per_Day = Multiplier * ((1 + (Agent_Effective_Quality / 100)) * ((Your_Skill + Agent_Skill) ^ 2))

Multiplier is a specific multiplier for the research field you want to do research in. Like 3x for starship engineering
Your_Skill is your skill level in the research field
Agent_Skill is the agent's skill level in the research field

Skillpoints At Specific Level For Specific Rank

Skillpoints_At_Level = 250 * Skill_Rank * (32^((Skill_Level - 1) / 2))

Note that the there can be a 1 skillpoint difference for some rank and level combinations, due to rounding issues.

Skillpoints Per Minute

Skillpoints_Per_Minute = Effective_Primary_Attribute + (Effective_Secondary_Attribute / 2)

Note that the attribute values listed in the character sheet, have had their decimals chopped off.

Station take when refining/reprocessing

Station_Take = Max((5 - (0.75 * Your_Standing)), 0)

For the station to take 0% you need a standing to the station owner of at least: 5 / 0.75 = 6.67

Database: Dominion 1.1.1 (127381) - Change to SISI