Chapter 11.4, Problem 30E

Solution

To write: The program produced by the function entered in $\text{Y}1$ in the calculator and explain its working.

The RRAM approximation produced by the function entered in $\text{Y}1$ in the calculator is $C={\displaystyle \sum _{K=1}^N\frac{B-A}{N}{Y}_1\left(A+K\cdot \frac{B-A}{N}\right)}$ .

Given information: The figure below shows an RRAM approximation program:

  

Figure (1)

Calculation:

The RRAM approximation formula produced by the function entered in $\text{Y}1$ is:

  $C={\displaystyle \sum _{K=1}^N\frac{B-A}{N}{Y}_1\left(A+K\cdot \frac{B-A}{N}\right)}$

In the program, $Y_1$ is shown as the function of $\left(A+K\cdot \frac{B-A}{N}\right)$ . It gives the sum of sequence of product of $\frac{B-A}{N}$ and $Y_1\left(A+K\cdot \frac{B-A}{N}\right)$ . The sequence is considered from $K=0$ to $K=N$ .

Thus, the RRAM approximation produced by the function entered in $\text{Y}1$ in the calculator is $C={\displaystyle \sum _{K=1}^N\frac{B-A}{N}{Y}_1\left(A+K\cdot \frac{B-A}{N}\right)}$ .