Domain Error Calculator

Formula

The formula to calculate the Domain Error (E) is:

\[ E = |V_t - V_a| \]

Where:

\(E\) is the Domain Error
\(V_t\) is the True Value
\(V_a\) is the Approximate Value

What is Domain Error?

Domain error is a numerical analysis concept that quantifies the absolute difference between an exact value and its approximation. It is used to assess the accuracy of numerical methods and algorithms, especially when dealing with iterative processes or estimations. A smaller domain error indicates a closer approximation to the true value.

Example Calculations

Let's assume the following values for two examples:

Example 1:

True Value (V_t) = 100
Approximate Value (V_a) = 95

Using the formula:

\[ E = |100 - 95| = 5 \]

The Domain Error is 5.

Example 2:

True Value (V_t) = 50
Approximate Value (V_a) = 45.5

Using the formula:

\[ E = |50 - 45.5| = 4.5 \]

The Domain Error is 4.5.