CertainError Calculator

Error propagation and uncertainty analysis are made easy and automatic with this app that features choice of arithmetic: Traditional, Interval, Monte-Carlo, Differential, Chordals and Duals.

Lab reports are difficult enough. Now you can complete error propagation for lab reports with lower stress and in quicker time.

The CertainError Calculator app provides functions found on traditional scientific calculators but now with simultaneous error propagation at your fingertips. This app does error propagation for trigonometric, exponentials, logarithms and hyperbolic functions. The inverse functions for all of these are included too. Try doing this with any other scientific, graphing or app calculator and you will experience difficulty and wasted time. These calculators are simply not built for error analysis and it takes a lengthy procedure of steps to make them work. Every step is a chance to make a calculation mistake. The CertainError calculator provides immediate relief when you finish your first error propagation calculation with ease (see the accompanying YouTube video showing the small ‘Challenge’ problem).

There is built-in flexibility in the choice of uncertainty arithmetic. If your professor uses 'partial differentials' and 'root-mean-square (RMS),' just set the app method to 'Differentials' and the calculator will handle the uncertainty arithmetic step-by-step through each operation or function. If you work with random error, you can set the app method to 'Monte-Carlo' to activate automatic random sampling of inputs to each calculation step and then benefit from automatic statistics that express results of a 95% confidence level. The ‘Interval method’ represents the input error range with a uniform grid of points and evaluates the calculation at all combinations to generate a result set. The result-with-error is resolved using the maximum and minimum of the result set. Novel methods, 'Chordals' and 'Duals,' are based on geometric arithmetic and patent pending technology. Similar to the ‘Interval method,’ the 'Chordal method' often gives the worst-case error so you can judge if you are in trouble from error growth. The 'Duals method' uses hybrids of numbers and geometry and it is very effective at solving the 'Dependency Problem' seen in most other methods and it is robust as it can do things such as divide-by-zero-with-error without blowing up (see the screenshot example). The ‘Duals method’ often yields the smallest error as the mathematics used is superior to other methods that approximate or over-estimate error in some way.

The CertainError.com website provides support and education in the form of an app Help Menu (see the ? button on the app), links to YouTube Tutorials (describing error and uncertainty without math) and descriptions of Recent Projects (using either the app or software, see Industries served) in a wide range of fields such as Science&Engineering, Mathematics&Statistics, Finance, Sports and Medicine.