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2-3/4"
In mathematics, 1 − 2 + 3 − 4 + ··· is an infinite series whose terms are the successive positive integers, given alternating signs. Using sigma summation notation the sum of the first m terms of the series can be expressed as
∑
n
=
1
m
n
(
−
1
)
n
−
1
.
{\displaystyle \sum _{n=1}^{m}n(-1)^{n-1}.}
The infinite series diverges, meaning that its sequence of partial sums, (1, −1, 2, −2, ...), does not tend towards any finite limit. Nonetheless, in the mid-18th century, Leonhard Euler wrote what he admitted to be a paradoxical equation:
1
−
2
+
3
−
4
+
⋯
=
1
4
.
{\displaystyle 1-2+3-4+\cdots ={\frac {1}{4}}.}
A rigorous explanation of this equation would not arrive until much later. Starting in 1890, Ernesto Cesàro, Émile Borel and others investigated well-defined methods to assign generalized sums to divergent series—including new interpretations of Euler's attempts. Many of these summability methods easily assign to 1 − 2 + 3 − 4 + ... a "value" of 1/4. Cesàro summation is one of the few methods that do not sum 1 − 2 + 3 − 4 + ..., so the series is an example where a slightly stronger method, such as Abel summation, is required.
The series 1 − 2 + 3 − 4 + ... is closely related to Grandi's series 1 − 1 + 1 − 1 + .... Euler treated these two as special cases of the more general sequence 1 − 2n + 3n − 4n + ..., where n = 1 and n = 0 respectively. This line of research extended his work on the Basel problem and leading towards the functional equations of what are now known as the Dirichlet eta function and the Riemann zeta function.
Very nice barrel, has one 1/4" circle where the bluing rubbed off from a felt gun rack...early vintage with the permanent early style sights... 12ga 2-3/4" shells...
asking 275 shipped/insured....obo
$500 shotgun without rifled barrel
$625 with both barrels.
$150 rifled barrel separately.
Used condition, light freckling on reciever, but not bad, great "tight" used hunting setup. I only had it out shooting clays once....
Thanks for looking.....
Matt
Not beat up, but used. See pictures.
28" fixed choke barrel
20" factoy replacement Rifled slug "cantilever scope mount" barrel.
These are kind of rare, i looked around so im just guessing. $180 cash if someone wants it separately....
package with no scope, $680
I think this is being very fair...
I've got one box of Federal brand, 20-gauge 2-3/4" 8 shot
$12 cash
Camas/Washougal meet-up.
Also willing to trade for 9mm or 12 gauge.
DM me and lemme know whatcha got.
Thanks for looking!
Call it Buckshot or Buck Shot, it's a going to be a good day either way.
$150 for the 100% original ammo can and ammo content, opened/displayed only for this sale.
I'm in Corvallis, OR. Not looking for a drive, so local buyers have preference. Feel free to make a reasonable offer and I'll keep...
I have a couple boxes of lead I don't any use for, spec as follows:
Wards Hawthorne 2 3/4" #5 (x2)
Remington 2 3/4" #4
Winchester 2 3/4" #4 (missing 3 shells)
Asking $7/box obo or trade for 20ga steel atleast >#3, 9mm fmj, 10/22 bolt, or even 20ga federal hulls
Also have a couple boxes of 12ga...
~1970 Remington 870 Wingmaster 12 gauge, 2-3/4" modified choke barrel. I'm selling this for my father, this shotgun spent the last 30 years in safe. $550 obo.
Selling three of my extra barrels...all 3 are identical other than slight condition variations
1. Minty in the original box 20" 2-3/4" shells only...gloss blued...12ga...was told it was unfired...appears possible but I cant confirm or deny that...Asking $300 shipped insured
2. and 3. both in...
This is a used Remington 1100, 12 Gauge, 2-3/4" (originally set-up as a trap gun). Includes:
* Two stock sets:
- Original adjustable wood stock and wood forend (has small chip out of edge)
- Black synthetic stock and black synthetic forend
* Three barrels (owner will consider selling up...
Hello,
Estate 12 Gauge 2-3/4" 00 buck in 25 round boxes - 15 boxes @ 30.00 a box or 420.00 for all.
Loose, repackaged 9x18 Makarov FMJ. Looks to be of Russian manufacture with a head stamp of "71" above the primer and "83" below the primer.
50 round boxes - 2 boxes @ 20.00 a box. Gone...