# How to be a Math Wizard (4.5)

Work by The Theoryjerks Discord.

Written by Gouka Mekkyaku. Ported to this website by Nemekh.

# General Information & About The Guide

This document is an update to the previous **“How to be a Math Wizard”**. Changes include the addition of level 70 formulae, refinement of secondary attribute formulae, & emphasis on mitigation & healing. In future revisions, we hope to capture refined pet formulae, level correction, & order of operation.

# Notation

## Table of References

Final Fantasy XIV formulae rely on tables to tailor them to specific levels, jobs, & clans. That is why using the same stats across different jobs & levels will yield different results. When referencing a table value, the background will be highlighted gray. Large text will refer to the table name & the subscripts will refer to the row & column as such:

**Table Name**_{Row, Column}

The respective tables can be found in the Resources section of this website. Table names can be found in the dropdown menu, or at the bottom where previous/next page tabs are also present.

## Flooring & Ceiling

Flooring refers to the largest integer value less than or equal to a given value. In layman’s terms, it means removing anything after the decimal. To keep formulae relatively clean, I opted to use the flooring parenthesis ⌊ x ⌋.

- Floored Value = ⌊ 23.999 ⌋
- Floored Value = 23

Ceiling is the opposite of flooring – it is the smallest integer value greater than or equal to a given value. In other words, for positive values, round up. When ceiling is necessary, you will see the notation ⌈ x ⌉.

- Ceiling Value = ⌈ 23.111 ⌉
- Ceiling Value = 24

## Redundant Brackets

To keep long formulae clean, I opted to remove redundant left-hand flooring & ceiling brackets. It is still expected that you perform the floor or ceiling as if the extra left-hand brackets were present.

Before: ⌊ ⌊ ⌊ x × y ⌋ × z ⌋ × w ⌋ → After: ⌊ x × y ⌋ × z ⌋ × w ⌋