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using a finite-precision vs and using the rounding rule

The phrases are not directly comparable as they convey different concepts. 'Using a finite-precision' refers to the limitation of the number of digits used to represent a value, while 'using the rounding rule' implies the method of approximating a number to a certain precision. Both phrases are correct in their respective contexts.

Last updated: March 17, 2024 • 686 views

using a finite-precision

This phrase is correct and commonly used in the context of numerical computations to refer to the limitation of the number of digits used to represent a value.

This phrase is used when discussing numerical computations or algorithms that involve representing numbers with a limited number of digits for precision.
  • Using a finite-precision arithmetic implementation of a sequential search through the polyhedral partition might result in an error when selecting a region.
  • The effect of using a finite precision number system is that rounding will often occur in order to represent values. Whilst the error introduced by the rounding of  ...
  • resents the finite precision errors in the whole calculation. Using a finite precision error analysis similar to the one in [24,. Sec.17.2] we can obtain the following ...
  • we show that the set of timed-traces of a dense timed-automaton observed using a finite precision digital-clock is regular, i.e., can be represented using a finite ...

and using the rounding rule

This phrase is correct and commonly used when referring to the method of approximating a number to a certain precision by applying a rounding rule.

This phrase is used in the context of numerical calculations or data analysis to describe the process of rounding numbers to a specified level of precision.

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