dPain over dt
dPain over dt
dPain/dt = (-k 1 Pain + [Image of Megan]) (1/(1 + e ^ -(t-k 2 )/d)) k 1 =? k 2 =? [Image of Megan]=How much she's still in my life Please let d only be a few days... or weeks I guess there's some kind of a cutoff after years, where it stops mattering and we can be friends. Do I want that? Is k 1 positive? Is k 2 large? Will I ever stop feeling like this?

Another one of the math-love relationship comics, a mathematical depiction of pain as a differential equation is shown. It is hoped that dPain/dt , or the rate of pain (in this case, shrinking), decreases quickly so that the pain will vanish quickly. He's hoping the value for d will not be larger than a few days or some weeks. Assuming that How much she's still in my life is a constant [Megan], solving the differential equation leads to the following solution (with unknown c 1 ):

If k 1 was positive or if k 2 was a large value, the value of dPain/dt would approach zero. Ideally, k 1 would be "How much she's in my life"/ Pain (we assume both these values are positive), while k 2 would ideally be extremely large. Either of these scenarios approach what would be a situation where the value of dPain/dt is close to zero. But we don't know the meaning of k 1 or k 2 ; these variables are just unpredictable.
In the title text, Randall changes the famous "laugh to keep from crying" statement to math.
dPain/dt = (-k 1 Pain + [Image of Megan]) (1/(1 + e ^ -(t-k 2 )/d)) k 1 =? k 2 =? [Image of Megan]=How much she's still in my life Please let d only be a few days... or weeks I guess there's some kind of a cutoff after years, where it stops mattering and we can be friends. Do I want that? Is k 1 positive? Is k 2 large? Will I ever stop feeling like this?
