Linear Warriors, Quadratic Wizards - TV Tropes. Melee classes gain power at a linear rate as they level up. Magic users gain power quadratically as they level up. A quirk some Video Game and Tabletop RPG game systems share is that melee classes are more powerful, versatile or useful at lower levels than casters or magic using classes. However, the trend reverses at higher levels, when the magic users gain a breadth of both versatility and pure power over simplistic hack and slash heroes.

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The fighter just needs decent armor and a weapon, and with their marvelous Hit Points, they can get into the thick of things and do reasonably well. Magical weapons aren't required but can (usually) be used immediately and give amazing bonuses. Wizards, on the other hand (especially young/low level ones), have no such easy shortcuts to massive magical power; they have to study, find or invent spells, and discover magic items that aren't so powerful they cause them to go into a Superpower Meltdown. In the meantime, they are nearly defenseless in a fight. As the trope name says, the power of a warrior is linear. It grows at a steady pace whose increase can be predicted by simple arithmetic. But a wizard's power is quadratic or even exponential: as it grows, the rate of growth also gets multiplied.

For example, learning something such as a spell leads to multiple, often unpredictable, varieties of more things to learn, in a manner similar to how a single infected person can infect multiple people unpredictably, or how a Wiki Walk on TV Tropes or The Other Wiki forces you to follow more links which lead to discovery of more varieties of knowledge and tropes which have lots of interesting links themselves that lead to more countless instances of discovering tropes, and so on. Thus, in the end wizards must at some point become the more powerful class. For example, while warriors are still stuck at physical hacking and slashing, wizards have discovered how to warp reality itself. They hit the limits of human (or near- human) ability and can't bend physics any farther. Since warriors don't have magic, how is physical force supposed to beat, say, an intangible ghost or some supernatural baddie with the magical ability to ignore it? Basically, warriors can only be so fantastic, so even as they improve, those improvements mean less.

Meanwhile, the Conans and Beowulfs have the run of the place, being able to both solo and group. In essence, the mages study under the promise of a dull and complex path with great profits at the end. Gamers, and by extension game designers, tend to be nerds by definition. The notion that a wizard (generally something of a brainy bookworm) may start out weaker than the Dumb Muscle, but surpass them entirely in the endgame, proving that knowledge is power that can modify the environment itself, thus making large muscles redundant in comparison? This account holds a lot of inherent appeal to them.

These include restrictions on magic itself, the two classic examples being the Mana mechanic or the even more restrictive Vancian Magic. Both of these serve to cap how often a wizard can cast spells. Preventing casting spells while wearing armour is another, though this is often partially countered by providing a range of protective magics that work much like normal armour only better, but of course for a limited time. Other restrictions also exist; a common one is simply to make the wizard Squishy.

Others involve sanity and corruption systems, or making the casting of a spell a tactically debilitating act. The solution is rarely to power up warriors while only slightly depowering wizards generally because, at least in the West, there's an expectation that the warrior be a Badass Normal that you can more easily imagine that you could become with enough effort. Sure, the wizard can do more amazing and effective stuff than the warrior can, but the warrior can do his less impressive things indefinitely! That makes up for it, right?.

Well, sometimes. A tough flurry of Random Encounters can suck a mage's supply of game breaking magic, which will force them to save a bit of juice for that final boss, and not waste their power. But in some games, wizards can recover their magic faster as they level up, and other games have infinitely available elixirs that recover magic quickly. Winhex 15 0 Sr 21.

Still other times, you end up with the opposite problem, wizards whose capacity to fight is so restricted that you wonder why the warriors even bother to bring them along (when this makes sense, it's because of the Inverse Law of Utility and Lethality being applied). Tropes Are Not Bad is still in effect however, and some well- thought out games encourage a party to have Warriors to pull them through the early levels and then sit back and watch the mages repay them later on and neither a all- warrior or all- mage team would have succeeded. The problem largely lies in how many times the Mage overshoots the warrior rather early on, rather than say, halfway through. Other character types, such as the Magic Knight, the Kung- Fu Wizard, and practitioners of Full- Contact Magic, mingle both styles of fighting to their own advantage by either using magic to augment raw strength or training their physical abilities to . See also Magikarp Power for cases of weak things that become stronger after enough effort, like the wizard in this case.

If the game itself scales alongside the quadratic wizard growth, then it can sometimes result in a Parabolic Power Curve for other classes, since they'll fall further and further behind the more levels they gain. From the beginning of Part 2 Sakura is portrayed as having advanced as much as Naruto in taijutsu skill thanks to Tsunade teaching her how to have Super Strength, which allows her impressive feats such as creating giant craters with her fists and destroying Sasori's best puppet in one hit. As time goes on however, she begins to fall behind Naruto and Sasuke because both of them gain more destructive ninjutsu and transformations that grant them various enhancements in battle while Sakura never advances farther than having the same level of super strength she did at the beginning of the time skip. Of course, then you have absolute terrors like Cuchulainn who know magecraft, are divine, can move, fight, and kill, faster than human eyes can track, and may have a Superpowered Evil Side.

In fact, EVERYONE is a mage, as . The most powerful beings (such as Arcueid and ORT) are not identified as mages and rely almost solely on mana- augmented brute physical force. Across the whole Fate/ series, there's been exactly one warrior Badass Normal enough to score a Heroic Servant kill, and it came with several caveats: his victim was throttled by an inept Master, and his technique relied on its atypical forms to be unpredictable. As Rin notes after an encounter with him, the human body can only move in so many ways; he beat them once, but he no long has any advantage. Boxhead Zombies 2 Players Hacked Games.

Inverted in Fist of the North Star: Hokuto Ryuuken is a variant style of Hokuto Shinken which heavily uses magic at the base of its style, as opposed to breath control and push- ups. And it's still stated to be explicitly inferior to Hokuto Shinken, to the point where Kenshiro doesn't even bother to copy techniques from the school. Early installments had the Ripple technique allowing the user to generate energy close to that of the sun, which had many applications. But nonetheless it was a mostly physical discipline. But then the series introduced the Stands, allowing users to become minor (or major) reality warpers, limited mostly by the specific effect of the Stand.

So on the one hand, a Ripple user could conceivably use their power for more kinds of things than a single Stand user. On the other hand, Stands have near infinite possibilities when it comes to effects, whereas Ripple power has a diverse but limited scope. This is because Stands can only be seen by other stand users, and can only be hurt by other Stands.