R & J

[anzuchan]

Now, honestly, how many of you immediately thought of Romeo and Juliet with that title? I know at least a few of you had to.

As all of you know by now, I'm studying [applied] math. I kid you not, the following is part of my Modeling homework assignment;

The dynamics of love affairs: The love relationship between Romeo and Juliet
Let R(t) = Romeo's love/hate for Juliet at time t.
J(t) = Juliet's love/hate for Romeo at time t.
R, J positive signify love, and R, J negative signifies hate.

Consider the case
R' = aJ, J' = -bR with a > 0 and b > 0. Classify the fixed point. How is the relationship?

let R = aR + bJ
a = the measure of cautiousness
b = the measure of responsiveness

"Out of touch with their own feelings"
R' = aJ, J' = bR

What will occur?

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To make matters worse, the following is on the inside cover of the textbook;

To use or not to use: that is the question:
Whether 'tis nobler in the mind to suffer
The stings and errors of outrageous computation,
Or to apply technology against a sea of questions,
And by its power resolve them?
To model: perchance to visualize: ay, there's the key:
For in that model what insights may come...

I don't even know what else to say about this random Shakespeare appearing in my Mathematical world except...wow.