swamp waste
05-03-2009, 03:09 AM
so a time traveller acts as a variable, right? and then other people and possibly things can function as constants. like in a mathematical equation.
so if you've got only one variable, then... if the outcome of the equation is a fixed value, the variable must also assume a fixed value. if it's a range, the variable can assume a range of values. (things get more complicated with even powers of a variable, like squaring it for example, though i don't know how you can square a time traveller) what's the "value" of a time traveler? their actions, maybe? like if desmond is the only one time travelling through a certain period, he has to perform a certain action, or actions within a certain range, to fulfill the equation. he has to assume a "value" relative to the "constant" and the "outcome." if not, the equation is imbalanced. that sounds kind of familiar...
things get more interesting when you add more variables. now each variable has a range of values, potentially an infinite range, but each other variable is correspondingly effected and has to assume a certain value or range of values, depending on how the equation is set up. reread that with "person" instead of variable and "action" instead of value, and maybe dan's comments this past week start to make more sense.
incidentally, an equation with six variables would describe a 5-dimensional space under certain circumstances. the way you'd solve it would be to break it down into the least necessary number of non-variable information so you could see in a concrete way how the variables related to each other. so if have variables a,b,c,x,y,z, there's potentially for a really complicated math problem but let's say you could break this theoretical equation down into a simpler one where you could establish that for any value of a, b would have to be 2a, x is a^2, c is 5(a-1), y is z-(a+c) and z is 6(c-b), then here's how you would write out some possible answers to that equation:
2 4 9 4 19 30
3 6 10 9 11 24
4 8 15 16 23 42
so if you've got only one variable, then... if the outcome of the equation is a fixed value, the variable must also assume a fixed value. if it's a range, the variable can assume a range of values. (things get more complicated with even powers of a variable, like squaring it for example, though i don't know how you can square a time traveller) what's the "value" of a time traveler? their actions, maybe? like if desmond is the only one time travelling through a certain period, he has to perform a certain action, or actions within a certain range, to fulfill the equation. he has to assume a "value" relative to the "constant" and the "outcome." if not, the equation is imbalanced. that sounds kind of familiar...
things get more interesting when you add more variables. now each variable has a range of values, potentially an infinite range, but each other variable is correspondingly effected and has to assume a certain value or range of values, depending on how the equation is set up. reread that with "person" instead of variable and "action" instead of value, and maybe dan's comments this past week start to make more sense.
incidentally, an equation with six variables would describe a 5-dimensional space under certain circumstances. the way you'd solve it would be to break it down into the least necessary number of non-variable information so you could see in a concrete way how the variables related to each other. so if have variables a,b,c,x,y,z, there's potentially for a really complicated math problem but let's say you could break this theoretical equation down into a simpler one where you could establish that for any value of a, b would have to be 2a, x is a^2, c is 5(a-1), y is z-(a+c) and z is 6(c-b), then here's how you would write out some possible answers to that equation:
2 4 9 4 19 30
3 6 10 9 11 24
4 8 15 16 23 42