# Adjusting graph settings for discrete variable for TI Nspire and HP Prime

On the TI Nspire, plotting of graph with discrete values sometimes do not easily give desired results. Consider plotting

`ln(nCr(50,x))`

Using 2D graph, Nspire will actually plot the graph but is seemingly having problems connecting the points. Not only after the integer function is added into the equation, the graph can be visualized properly. Experimenting with the Trace function below, the red trace disappears on real X values between two discrete integers, confirming the plot is there but the engine is having problem connecting. In contrast, the HP Prime provided an Integer view of graph for this case.    # LU decomposition in TI Nspire CAS, HP Prime, and R

High-end calculators are capable to compute the LU decomposition of matrix. TI Nspire CAS and HP Prime are no exception. The calculations for them are listed below and compared with R.

HP Prime R # Solver behaviour on HP Prime, 50g, 39gII, TI Nspire CX CAS, and Casio fx-9860GII

On comparing the differences in behavior of TVM calculations, the solver of HP Prime is the only calculator able to return, without any initial guess input, the approximate value of number of period in a peculiar form of future value finding equation, although with not small of an error of about 13%.

Edit: Added results from 50g and 39gII emulator, they both returned the same result (but not the same as the Prime) without being given any hints.

HP Prime: HP39gII  TI Nspire: The original problem is from an classic HP calculator manual published in 1982. The problem goes like this (example 2 on page 145): If an employee is paid \$0.01 every second, with an interest rate of 11.25% compounded every second, what will she get after a year? In the original document, this problem is used to illustrate the limitations numerical accuracy. Detailed explanation and workarounds can be found in the original document.