Join the #1 community for gun owners of the Northwest
We believe the 2nd Amendment is best defended through grass-roots organization, education, and advocacy centered around individual gun owners. It is our mission to encourage, organize, and support these efforts throughout Oregon, Washington, Idaho, Montana, and Wyoming.
Discuss firearms and all aspects of firearm ownership
Join others in organizing against anti-gun legislation
Find nearby gun shops, ranges, training, and other resources
Discover free outdoor shooting areas
Stay up to date on firearm-related events
Share photos and video with other members
...and much more!
2/3
The infinite series whose terms are the natural numbers 1 + 2 + 3 + 4 + ⋯ is a divergent series. The nth partial sum of the series is the triangular number
∑
k
=
1
n
k
=
n
(
n
+
1
)
2
,
{\displaystyle \sum _{k=1}^{n}k={\frac {n(n+1)}{2}},}
which increases without bound as n goes to infinity. Because the sequence of partial sums fails to converge to a finite limit, the series does not have a sum.
Although the series seems at first sight not to have any meaningful value at all, it can be manipulated to yield a number of mathematically interesting results. For example, many summation methods are used in mathematics to assign numerical values even to a divergent series. In particular, the methods of zeta function regularization and Ramanujan summation assign the series a value of −+1/12, which is expressed by a famous formula,
1
+
2
+
3
+
4
+
⋯
=
−
1
12
,
{\displaystyle 1+2+3+4+\cdots =-{\frac {1}{12}},}
where the left-hand side has to be interpreted as being the value obtained by using one of the aforementioned summation methods and not as the sum of an infinite series in its usual meaning. These methods have applications in other fields such as complex analysis, quantum field theory, and string theory.In a monograph on moonshine theory, Terry Gannon calls this equation "one of the most remarkable formulae in science".
Not sure what year it is. Cool, fun, little 1911. I have only shot it twice since I owned it. Whats your Best reasonable offer? I only have 1 mag.. The grips are not stock, Sorry, No trades. No shipping, Cash only.