signifies
summation.
means
add up all the numbers
There
are several different, similar variations of notation, so
that
and
mean
essentially the same thing, though the second example means
explicitly 'add up all the
from
to
'.Example: If
find
Example: If
find
Summation in this way has several useful properties:
and
Summation is also linear
This last property can be useful. For the second example above with
we
found
We
could have used the linearity property to write
There are standard expressions for
and
and
then
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