# A Robust(er?) Model of Self Improvement - Part III

Assuming that these three variables are correct, the next question for me is how to express this as an equation.

I asked Lydia’s father, Bill Schrandt, who is a mathematics teacher, about how one can express a line through 3 dimensional space.

The ensuing discussion got into vectors, eigenvalues and eigenvectors, and projectiles and rocket motion. What I got out of it was that it’s much easier to deal with expressing planes, and much much more difficult to express a line - much less a curved path in 3 dimensions. This is something I’ll have to look into in more detail.

But another way to go about this is to figure out how all these values and variables work together outside of a graph.

And he agreed with me in that this all sounds very similar to basic physics - friction coefficients are needed depending on how much willpower a task takes. TinyHabits allow you to cross over danger zones because there’s less of an Endurance load on repeated habits. Willpower reacts differently across time…it sounds very much like a kinematics problem in physics.

**So here are some of my basic relationship thoughts with regards to coming up with a habit equation:**

-Endurance is Willpower across Time just as velocity is distance across time

-SRHI has a reciprocal relationship to Endurance. As the SRHI for a task approaches perfection (84) Endurance needed decreases and approaches 0

-We can reverse engineer an Endurance scale. If the SRHI is 12 (minimum) then the Endurance load is at a maximum of 72. If the SRHI is at a maximum of 84, then Endurance is at a minimum of 0. 0-72 scale for Endurance.