HP 15C User Manual download pdf (Page 248)

248 Appendix E: A Detailed Look at f





dxx )δ( Δ

xmn

]10[0.5

)(







This integral is calculated using the samples of (x) in roughly the same

ways that the approximation to the integral of the function is calculated

using the samples of

)(



       

-n

, the uncertainty of an

approximation changes by about a factor of 10 for each digit specified in the

display format. This will generally not be exact in i or ^ display

format, however, because changing the number of digits specified may

require that the function be evaluated at different sample points, so that

(x) ~ 10

m(x)

would have different values.

Note that when an integral is approximated in • display format, m(x) =

0 and so the calculated uncertainty in the approximation turns out to be

×10

-n

(b  a).

Normally you do not have to determine precisely the uncertainty in the

function. (To do so would frequently require a very complicated analysis.)

Generally, it's more convenient to use i or ^ display format if the

uncertainty in the function's values can be more easily estimated as a

relative  •

display format if the uncertainty ues can be more easily

estimated as an absolute uncertainly. • display format may be

inappropriate to use (leading to peculiar results) when you are integrating a

function whose magnitude and uncertainty have extremely small values

within the interval of integration. Likewise, i display format may be

inappropriate to use (also leading to peculiar results) if the magnitude of the

function becomes much smaller than its uncertainty. If the results of

calculating an integral seem strange, It may be more appropriate to calculate

the integral in the alternate display format.

1 2 ... 243 244 245 246 247 248 249 250 251 252 253 ... 287 288

Comments to this Manuals

No comments

HP 15C User Manual Page 248

Comments to this Manuals