Day 06 in Mat360

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Website maintained by Andy Long. Comments appreciated.
















































The conjugate















































They are represented in Figure 2.3.















































how many base-10 digits of accuracy you have to the left of the decimal point.















































An interval approximation for e:
















































One that showed 0, 1, or 2 for positions; we don't see a "2" here.















































The figure illustrates two cases which won't work -- 1.44 and 1.45 -- each producing an interval beyond what the data support (the top line).

If not, and we must use 1.4, then another user would assume that we only know the 4 in the tenths place to within five units, and you can see what happens to the actual uncertainty -- it expands grossly, to the interval (0.9,1.9).

















































The speed of light in a vacuum.















































When

,

and, in particular, when , i.e. when

.

Symmetrically, subtraction will suffer the problem when a and b are approximately equal.