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1-4
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
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, some of which have applications in other fields such as complex analysis, quantum field theory, and string theory. 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.
In a monograph on moonshine theory, Terry Gannon calls this equation "one of the most remarkable formulae in science".
PM to contact. No trades. No separates.
General notes:
All are FDE
All are current gen with 2032 battery
All have killflash and covers
All have built-in BUIS
All items are in excellent condition at a minimum; the images are 12MP each and tell a better story than words. If you require additional...
For sale only, CMR-W in both 7.62 and 5.56 with mounts (1.54; 5.56 is LaRue and 7.62 is ADM) and MK6 throw levers ($1700 each). Trijicon TR24R in 1.93 Badger $800. Will ship for extra. Message here for cell for other photos. NO TRADES.
I have an illuminated Nightforce NXS 1-4x24 in QD ADM mounts I would like to trade for a traditional ACOG 4x32. I have the original box and paperwork for the Nightforce, do not have the packaging for the ADM mount anymore.
For sale is a brand new Steiner P4Xi 1-4 magnification scope. Took out of it's box but decided to go a different route for the rifle I was going to put it on. USA Made, with German Schott crystal clear glass. Has a ridiculously daylight bright illuminated dot in the center of it's BDC reticle...
Trijicon accupoint 1-6 with green triangle. It comes with the original box and lens cover. The aero mount is not included. The optic is in great condition.
Trijicon Accupower 1-4 w/Seekins Precision mount. Optic works great. There is a a small dent in the front of the tube but does not affect the operation of the optic. Wanting an ACOG and I’m willing to add some cash for the right one. Other trade offers will be heard, let me know what you got...
I have a very nice condition Leupold VX-2 1-4x20 with a standard duplex reticle, has a 1" tube and is only 9 ounces, so it's great for a lightweight build. Does not come with rings or a mount.
$175 shipped
$165 local pickup in Eugene/Springfield
Vortex Viper PST 1-4x capped turret, MOA version.
Comes with Vortex Bubble Level and Switchview throw lever. Also comes with caps for lenses. No mount included.
$398 shipped.
As new Steiner P4XI 1-4x24(Model 5201). GGG FLT Mount(30mm). Flip up covers as well. Never used. As new. Includes box and everything that came with. $SOLD takes all. May consider trades for Kifaru, Exo or Stone Glacier pack.
Green segmented circle dot crosshair. Comes with Trijicon switchview lever, vortex defender lens cap, and trijicon flattop mount.
$800 OBO
No shipping
can call or text 5036865368
***SOLD***
Great condition, illuminating reticle. Has a little rattle can residue on it! Comes with quick release mount.
Will trade for Surefire m300, 600 tan with pressure pad
$300
Vortex Crossfire II 1-4 $135
1. V-Brite reticle
2. Has Vortex flip caps
3. Polymer throw lever.
4. NO MOUNT
5. Scope was mounted on my AR and had a couple hundred rounds. Still in excellent shape.
I live in Olympia, but work on JBLM throughout the week so we could meet around that area. I...
Got this in on a trade, shot 7 shots with it on my ruger american and decided i want more magnification. In perfect shape and will include a set of vortex hunter high 30mm rings. $120 or trade for a sig romeo 5, holosun or primary arms micro red dot, streamlight rail mount hlx, Inforce wml/x...
355 shipped if someone buys this today
Also other states, leupold vx-r patrol 1.25-4 with firedot, glass is perfect, bought this from another member her but it never gets used, just prefer red dots, has a new larue c.a.n. qd mount.
380$ Plus shipping.
Sorry about the bad pics, can get...
I’m wanting to sell my new in box Athlon Talos 1-4 Illuminated optic.
May trade for small red dot, Dewalt 20v power tools, other gun related items potentially.
$175
Eugene
Does anyone have any experience with the Monstrum Tactical 1-6x24 Scope? This is an inexpensive 1-6 that doesn't seem to have a lot of review out there. A lot of features packed into this optic including First Focal Plane. What I see has been positive but wanted to ping here to see if anyone...