Numbers and Precision
The Symbolic Math Toolbox™ can perform numeric calculations with variable precision by using
vpa. For details, see Increase Precision of Numeric Calculations. To understand when to
use symbolic, variable-precision, or double-precision arithmetic, see Choose Numeric or Symbolic Arithmetic. The
Symbolic Math Toolbox also provides functions for rounding operations and for working
with complex numbers.
Functions
Topics
- Choose Numeric or Symbolic Arithmetic
Compare and contrast double-precision, variable-precision, and symbolic arithmetic.
- Numeric to Symbolic Conversion
Convert floating-point numbers to exact symbolic numbers.
- Increase Precision of Numeric Calculations
Increase precision arbitrarily with variable-precision arithmetic.
- Recognize and Avoid Round-Off Errors
Round-off errors in symbolic and variable-precision calculations.
- Increase Speed by Reducing Precision
Increase speed of calculations by reducing precision of calculations.
Featured Examples
Prime Factorizations
Use some elementary functions on sym objects using the Symbolic Math Toolbox™.
Handling Large Integers to Solve the 196 Problem
Work with large integers and their decimal representation using the Symbolic Math Toolbox™.
Compute Binomial Coefficients Exactly
Get precise values for binomial coefficients and find probabilities in coin-tossing experiments using the Symbolic Math Toolbox™.
Find Almost Integers with High-Precision Arithmetic
Find almost integers, or numbers that are very close to integers, using variable-precision arithmetic in Symbolic Math Toolbox.
Decimal Digits of PI
Use variable-precision arithmetic to investigate the decimal digits of pi using Symbolic Math Toolbox™.
