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An inverse proportion between two variables is when the value of one variable increases, the other decreases. Mathematically, this is shown as: x = k / yn where x and y are the two variables, and k and n are constants.
There is no value for n because the relationship between 5.4, n and 0.6 is unspecified.
l is greater than n
In a Solow model, a differential equation exists because the optimal growth rate is a difference between two functions, whose optimisation is their derivative set equal to zero. Consider:Break-even investment is equivalent to the minimal level to maintain the capital-labour ratio:(n + g + d)k(t)And actual investment is:sf(k(t))The differential solution to this equation describes the optimal outcome. Specifically, we optimise economic growth by choosing the savings versus consumption ratio such that the equationsf(k(t)) - (n + g + d)k(t)is optimised. This equation represents the derivative of the capital-labour ratio. Therefore, its optimisation is equivalent to0 = sf(k(t)) - (n + g + d)k(t)thussf(k(t)) = (n + g + d)k(t)when k(t) = f(k(t)), thens = n + g + d
"Mod" is often used to indicate the remainder of a division, and it is used that way in programming languages, or in Excel or similar spreadsheets. Thus, for example, mod(10, 3) = 1, since that is the remainder when you divide 10 by 3.