Martial styles are referred to as Soldier types, and usually held by Problem Solvers that focus on combat first. They have little magic, and some general skills.
When you first build a martial, you increase you Body, Blood and Heart attributes.
Typical Martial:
Warrior
Ranger
Paladin
Warlord
Warlock
Caster styles are your typical magic users, and are called Scholars in universe. Not using armor, so that they can be free to cast spells as required. Their martial prowess is usually lacking, and they have some general skills.
When you first build a caster, you increase your Mind, Blood, and Bone attributes.
Typical Caster:
Sorcerer
Druid
Priest
Occultist
Wizard
Generalists are your typical jack of all trades, and are the most common styles that are referred to as Adventurers. They focus on general skills and skill specializations, and split their focus on martial and caster roles.
When you first build a generalist you increase your Soul, Heart and Bone attributes.
Typical Generalists:
Factotum
Shaman
Monk
Esper
Ninja
There are at least 5 sources in which a Problem Solver gets to draw their power from: The elements, nature itself, divinity, arcane, and from an occult source.
In Anarchy Realms, everyone has magic in them, but not everyone can draw that magic out the same way. The amount of mana they have access to, to even their personality affects not only their potential but what they would focus their potential on.
As players level up they gain traits based on their Style. These traits can be influenced by Class, Source and other choices you make. Trait growth is the same regardless of what Style you choose. Traits are different from skills, in that they are exclusive to being a Martial, Caster or Generalist.
You also get to pick skills, which can be from any category, regardless of what kind of style you are playing. The difference is that Martials gain more Martial skill points on level up, Casters gain more Caster skill points, etc.