- #1
gibberingmouther
- 120
- 15
Okay, I never took calculus 3 so I don't know how to write/solve an integral for a power I made up.
I want to flesh out my game world with math because it's cool and I can. Like Chester wrote some of the physics for the Bizarro universe. Applying physics and math to a fictitious universe is both ... bizarre ... and fun!
The issue is this integral has two changing variables.
So the power I'm working on now is telekinesis. As the distance from the TK user increases, the "spirit energy cost" goes up. So spirit energy cost = the limit of the sum of (spirit point constant for the game world) * (n * distance from character's body) * (displacement of the object) * (force applied to accelerate object), where the sum is for the instantaneous values of (distance from character's body) and (displacement of the object). These are the two variables in the integral I can't formulate or solve. n is just a number that, like the "spirit point constant", depends on how I want to set up the game world.
So let's say it takes all of a person's "spirit power" to move a 1500kg car 1 m in 1 second for a distance of 1 m to a distance of 2 m from the person's body.
Then I can write a sum for that. (spirit energy cost) is approximately equal to [(spirit point constant) * (force applied = 3000 N)]*[0*0 + 1.1*.1 + 1.2*.2 + 1.3*.3 + 1.4*.4 + 1.5*.5 + 1.6*.6 + 1.7*.7 + 1.8*.8 + 1.9*.9 + 2*1] = (spirit point constant) * 28050 J*m.
What I don't know is the integral for this or how to solve it, so I'm asking for help from anyone who knows multivariate calculus!
I also want to write the rules for using "spirit energy" to add heat explosively to air or other matter. So that should be fun! I guess I should learn multivariate calculus at some point ... it's not required for my major or possible minor, though, I don't think.
So the idea is that a person has a power rating which determines how much "spirit energy" they can use over a given time interval. In terms of game rules, this just means you can do more or less on your turn depending on the power rating. But I want to write rules for it and it gets tricky. It seems like you need some wiggle room in your rate of spirit energy application unless you have a smallest unit of time you want to use. Which, now that I think of it, is probably how I want to do things.
I want to flesh out my game world with math because it's cool and I can. Like Chester wrote some of the physics for the Bizarro universe. Applying physics and math to a fictitious universe is both ... bizarre ... and fun!
The issue is this integral has two changing variables.
So the power I'm working on now is telekinesis. As the distance from the TK user increases, the "spirit energy cost" goes up. So spirit energy cost = the limit of the sum of (spirit point constant for the game world) * (n * distance from character's body) * (displacement of the object) * (force applied to accelerate object), where the sum is for the instantaneous values of (distance from character's body) and (displacement of the object). These are the two variables in the integral I can't formulate or solve. n is just a number that, like the "spirit point constant", depends on how I want to set up the game world.
So let's say it takes all of a person's "spirit power" to move a 1500kg car 1 m in 1 second for a distance of 1 m to a distance of 2 m from the person's body.
Then I can write a sum for that. (spirit energy cost) is approximately equal to [(spirit point constant) * (force applied = 3000 N)]*[0*0 + 1.1*.1 + 1.2*.2 + 1.3*.3 + 1.4*.4 + 1.5*.5 + 1.6*.6 + 1.7*.7 + 1.8*.8 + 1.9*.9 + 2*1] = (spirit point constant) * 28050 J*m.
What I don't know is the integral for this or how to solve it, so I'm asking for help from anyone who knows multivariate calculus!
I also want to write the rules for using "spirit energy" to add heat explosively to air or other matter. So that should be fun! I guess I should learn multivariate calculus at some point ... it's not required for my major or possible minor, though, I don't think.
So the idea is that a person has a power rating which determines how much "spirit energy" they can use over a given time interval. In terms of game rules, this just means you can do more or less on your turn depending on the power rating. But I want to write rules for it and it gets tricky. It seems like you need some wiggle room in your rate of spirit energy application unless you have a smallest unit of time you want to use. Which, now that I think of it, is probably how I want to do things.