It is for this reason that many are surprised to discover that 0.1 + . . . + 0.1, ( 10 additions ) differs from 1 in floating point arithmetic.
32.
Sometimes relative error is used to measure the difference between the approximation and the function, especially if the approximation will be used to compute the function on a computer which uses floating point arithmetic.
33.
Despite the simple formula for the probability density function, numerical probability calculations for the inverse Gaussian distribution nevertheless require special care to achieve full machine accuracy in floating point arithmetic for all parameter values.
34.
While useful for hand calculations, it is not advised for computer calculations as it suffers from catastrophic cancellation if the two components of the equation are similar in magnitude and floating point arithmetic is used.
35.
Maple and SageMath return an error message for 1 / 0, and infinity for 1 / 0.0 ( 0.0 tells these systems to use floating point arithmetic instead of algebraic arithmetic ).
36.
However, commentators quickly responded that his ideas are just a variation of the standard IEEE 754 concept of NaN ( Not a Number ), which has been commonly employed on computers in floating point arithmetic for many years.
37.
Additionally, the 7400 has enhanced support for symmetric multiprocessing ( SMP ) thanks to an improved cache coherency protocol ( 603 series had a 32-bit FPU, which took two clock cycles to accomplish 64-bit floating point arithmetic.
38.
The relative performance of software BKM implementation in comparison to other methods such as polynomial or rational approximations will depend on the availability of fast multi-bit shifts ( i . e . a barrel shifter ) or hardware floating point arithmetic.
39.
However, in computer floating point arithmetic, all operations can be viewed as being performed on antilogarithms, for which the rules for significant figures indicate that the number of sigfigs remains the same as the smallest number of sigfigs in the mantissas.
40.
However, in practice ( as the calculations are performed in floating point arithmetic where inaccuracy is inevitable ), the orthogonality is quickly lost and in some cases the new vector could even be linearly dependent on the set that is already constructed.
