id: 06513087
dt: j
an: 2016a.00773
au: Bivens, Irl C.; Klein, Benjamin
ti: The median value of a continuous function.
so: Math. Mag. 88, No. 1, 39-51 (2015).
py: 2015
pu: Mathematical Association of America (MAA), Washington, DC
la: EN
cc: I20 I50 K50
ut: median value; continuous functions; area minimization
ci:
li: doi:10.4169/math.mag.88.1.39
ab: Summary: Using a limit we define the median value of a continuous function
on a bounded interval and we explicate the connection between the
median and area minimization. With the help of Lebesgue measure we show
that this connection can be viewed as a special case of an interesting
minimization principle in probability.
rv: