18 Questions
What does accuracy measure in the context of numerical problem solving?
How close a measured or computed values agrees with the true values
Which term represents how close individual measured or computed values agree with each other?
Precision
In the context of this course, what does error represent?
Both inaccuracy and imprecision of numerical results
What is precision in the context of numerical problem solving?
How close individual measured or computed values agree with each other
What does accuracy measure in the context of numerical problem solving?
How close a measured or computed values agrees with the true values
Which term represents both inaccuracy and imprecision of numerical results in this course?
Error
What is the formula for true error?
Error = True value - Approximation
How can the error be normalized to the true value?
By dividing the error by the true value
In the example given, what is the true error for the bridge measurement?
1cm
What is the true percent relative error for the river measurement?
10%
What method can be used to estimate the error if the true values are unknown?
Comparing results from successive calculations
What does 𝜀𝑎 represent in the context of numerical methods?
The absolute error
In most applications, what condition do we want |𝜀𝑎 |< 𝜀𝑠 to satisfy?
|𝜀𝑎 |< 𝜀𝑠 means a reliable calculation
What is used to minimize round-off errors in arithmetic calculations?
Double precision
What concept designates reliability of numerical values by reporting certain digits and an estimated digit?
Significant figures (sig figs)
Which type of digits are always considered significant according to the concept of significant figures?
Non-zero digits and terminal zeros following the decimal point
What do terminal zeros in an integer not be considered according to significant figures?
Never significant
What does |𝜀𝑎 |< 𝜀𝑠 indicate about a result?
The result is highly accurate
Test your knowledge of approximations, errors, and significant figures with this quiz. Submit an exam-style question based on the review material in the provided discussion board topic.
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