Question

Rainfall and river height. The T-vector r gives the daily rainfall in some region over a period of T days. The vector h gives the daily height of a river in the region (above its normal height). By careful modeling of water flow, or by fitting a model to past data, it is found that these vectors are (approximately) related by convolution: h = g ? r, where g = (0.1, 0.4, 0.5, 0.2). Give a short story in English (with no mathematical terms) to approximately describe this relation. For example, you might mention how many days after a one day heavy rainfall the river height is most affected. Or how many days it takes for the river height to return to the normal height once the rain stops.

          Rainfall and river height. The T-vector r gives the daily rainfall in some region over a
period of T days. The vector h gives the daily height of a river in the region (above its
normal height). By careful modeling of water flow, or by fitting a model to past data, it
is found that these vectors are (approximately) related by convolution: h = g ? r, where
g = (0.1, 0.4, 0.5, 0.2).
Give a short story in English (with no mathematical terms) to approximately describe
this relation. For example, you might mention how many days after a one day heavy
rainfall the river height is most affected. Or how many days it takes for the river height
to return to the normal height once the rain stops.

Added by Karam A.

Question

Please give Ace some feedback