index append comprehension convert to array create delete loadtxt logistic model carrying capacity long lines (splitting of) loop double for index infinite iteration multiple nested while main program maple math mathematica mathematical modeling matlab matplotlib pyplot matrix mat tridiagonal vector product mesh points uniform method of lines midpoint method model computational differential equation mathematical module mol forward euler monte carlo integration nameerror newton starting value nonlinear algebraic equation nose (testing) notepad++ numerical scheme numpy object octave ode scalar vector operator arithmetic logical package parameter input output parentheses pde plot figure poisson equation print printf formatting printing formatted program crash execute flat input output run statement testing typing verification programming game prompt pseudo code py test python documentation installation shell zero-based indexing random (function) random walk range rate of convergence raw input read (from file) reserved words resonance return none value rk