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condition
In numerical analysis, the condition number of a function measures how much the output value of the function can change for a small change in the input argument. This is used to measure how sensitive a function is to changes or errors in the input, and how much error in the output results from an error in the input. Very frequently, one is solving the inverse problem: given
f
(
x
)
=
y
,
{\displaystyle f(x)=y,}
one is solving for x, and thus the condition number of the (local) inverse must be used. In linear regression the condition number of the moment matrix can be used as a diagnostic for multicollinearity.The condition number is an application of the derivative, and is formally defined as the value of the asymptotic worst-case relative change in output for a relative change in input. The "function" is the solution of a problem and the "arguments" are the data in the problem. The condition number is frequently applied to questions in linear algebra, in which case the derivative is straightforward but the error could be in many different directions, and is thus computed from the geometry of the matrix. More generally, condition numbers can be defined for non-linear functions in several variables.
A problem with a low condition number is said to be well-conditioned, while a problem with a high condition number is said to be ill-conditioned. In non-mathematical terms, an ill-conditioned problem is one where, for a small change in the inputs (the independent variables) there is a large change in the answer or dependent variable. This means that the correct solution/answer to the equation becomes hard to find. The condition number is a property of the problem. Paired with the problem are any number of algorithms that can be used to solve the problem, that is, to calculate the solution. Some algorithms have a property called backward stability. In general, a backward stable algorithm can be expected to accurately solve well-conditioned problems. Numerical analysis textbooks give formulas for the condition numbers of problems and identify known backward stable algorithms.
As a rule of thumb, if the condition number
κ
(
A
)
=
10
k
{\displaystyle \kappa (A)=10^{k}}
, then you may lose up to
k
{\displaystyle k}
digits of accuracy on top of what would be lost to the numerical method due to loss of precision from arithmetic methods. However, the condition number does not give the exact value of the maximum inaccuracy that may occur in the algorithm. It generally just bounds it with an estimate (whose computed value depends on the choice of the norm to measure the inaccuracy).
Looking for a shooter grade 8mm mauser thats non sporterized. Not really picky beyond has to be in 8mm and has to not be sporterized. Looking to spend in the neighborhood of $400 but can negotiate. Thanks!
Bought this Ruger LCR in 22lr a year ago because I thought it’d be an easy pistol for my grandparents-in-law to shoot. Turns out, they’re not necessarily gun-friendly folks. So, I have no need for this and would like to fund a different purchase.
Bought it from guns.com in excellent condition...
The gun is the stainless steel frame version and is in EXCELLENT condition. I want to emphasize how pristine this gun is. It will be extremely difficult to find a better-conditioned gun like this one. The asking price is $1000 cash only, no trades.
## I WILL LET IT GO FOR $750 for this week...
Savage Model 11 .308 Synthetic Stock. Leupold Scope ( I can sell with or without scope). $450 or best offer. 22" barrel. Sling. I never hunted with this rifle. I fired one box of rounds and sighted it in., Very nice and very inexpensive way to get into hunting. Jan Kitchel 503-730-0685
I only shot for about 1000 rounds, the gun is in great condition.
The red dot is included, Leupold DeltaPoint.
The Light is Not included.
Also, I give a range toy holster for free, which comes with a case and three 17 rounds mag.
Not really interested in trade-in, but feel free to make offers
Looking to sell my X Carry. Approximately 1000 rounds through it. Great condition color is Coyote brown. Have five 17 round mags and appendix kydex holster. $475.00 OBO will trade
Not sure how many rounds, but I’ve only ran exactly 180 rounds through it. As you can see, it’s in excellent condition. I will include one Chinese standard capacity magazine that’s in excellent condition.
Numbers matching.
CZ Scorpion EVO 3 S1 in Excellent Condition. Maybe 250 rounds through it and cleaned thoroughly. Comes with 7 mags and a bunch of spare parts (trigger, grip, thread protecter, etc.)
$550 must meet at a Portland Metro FFL that we agree on, buyer pays transfer fees. NO WA residents.
503-887-7600
Used, but never hunted with less than 200 shots, a true safe queen!
* Comes with Leupold bases and 30mm high Leupold rings
* RCBS reloading dies #13701
* Brass - 6 wby & 23 Federal Premium
* 1 – Lock-N-Load Modified Case 7mm wby
* 13 – Weatherby 160gr Accubond cartridges
* 17 - Federal Premium...
Need to cover some bills but no I'm not trying to short sale. Base model Mossberg shockwave 12ga in very good condition, maybe one box of shells through it. Comes with mini shell adapter. I'll post pics tonight, and any further info I can think of.
Price reduced by $25 to $425. Let's go $400...
Bought this new in Mar 2022, roughly 50 rounds through it. Comes with 3 magazines w/grip extensions and 3 flat base plates, soft pocket holster in original box.
Not interested in trades but open to reasonable offers on price.
***Price reduced from $195 to $175.***
Duty carried magazines, in absolutely excellent condition, original Sig product made in Italy.
Would prefer selling all 8 together at $190, or $25 each if sold separately.
Hi all, selling my Ruger GP100 .357 Magnum Revolver with a 5 inch barrel. I am the original owner. New condition. Only 50 rounds shot. I don't shoot it enough so I though some else should enjoy it. No disappointments. I paid $899 for it about 4 years ago. For sale for $450. Message me at...
Putting this one up as it doesn't make it out of the safe enough. It is almost mint condition (see small pitting around rear sight). Serial dates it as 1968 Harrington and Richardson 949. It's the 9shoy SA/DA 22lr. It shoots flawlessly and most importantly, affordably. Bluing is in great...
Great condition.
I'm not the original owner, so I'm unsure on round count.
No mags.
Meet at Tropics Pawn for transfer in Vancouver, or Portland area FFL.
I have had the Kimber for a long time and used it hardly at all, thus the reason for selling.
It has a few marks here and there but I would consider it in excellent condition.
Comes with 4 factory Kimber magazines, original box and scope rings.
Sorry, not interested in shipping or trades, and...
Glock 48 MOS (with very low round count) with Glock box
- Upgraded AmeriGlo Spartan Tactical Operator Front/Rear Sight
- 2 x Glock OEM Mags
- I also can include a few more mags and a holster - message for additional details
$450 or best offer!
I have a mini 30 I got from another member in 762x39 comes with 60rds, 2 10rd mags and 2 20 rd mags, also comes with ATI FDE tactical stock that just needs filed to fit the 30 only looking to trade right now but for the right price hey anything’s for sale lol
Trades considered
LMT piston 16”...
Ruger SP101 .357 Mag excellent condition only a couple hundred rounds through it. Looking to trade for a sig p320 or p365 + - cash depending on the offer. Will also consider other 9mm semi autos.
Model Number: 5771
Caliber: 357 Mag
Front Sight Fiber Optic
Barrel Length 4.20"
Buyer pays...