1a. Assume that information density (D) increases as time elapsed in grad school by the sum of I. an exponential function F including (e)^x where x=1.25 and the half-time of D doubling is 0.6 year and II. a simple sinusoidal function with period=1y. If mental health declines proportionately to 0.2F, calculate the sanity remaining to student N after 5.5 y.2. Calculate work output:
1b. Write an equation for anxiety (A) using chaos equations. Make sure your equation for A includes a random spike every 3 months on average and include a parameter such that anxiety increases with time.
2a. Determine energy intake E if N takes in approximately 2.5 meals per day and loses weight at the rate of 0.07 kg/ week. Remember to time I as follows: meal 1, 7 a.m.; meal 1.5, 2 p.m.; meal 2.5, 8:30 p.m; and to include a constant rate of energy output during waking hours (17/day).3. If sanity is generally described by a shallow hyperbola centered around 'graduation date', explain how any student ever graduates.
2b. Work output is proportional to the product of energy input and information density. Express output as an integral function, but do not solve.
*Actual exam question: 'Calculate the capacitance of a human.' And you can imagine how the answer started. (If you can't, see this; first entry under 'Comparisons.')
[PCR, still coming, really, any day now.]