why is the nullspace of an operator called a kernel? if i think about american english expressions that include the word kernel then “kernel of truth” comes to mind and i do not see how the nullspace is the “kernel of truth” of an operator?
then of course there are the other uses like convolution kernel for an FIR filter, which doesn’t make sense to me either except insofar as the filter collapses several values down to one?
and don’t even get me started on numerical computing people calling whole programs kernels. jeez.