Super resolution microscopy - Revision history

en>Cherkash: fixed dashes using a script

2014-02-25T09:45:10Z

en>Art Carlson: /* Saturated structured illumination microscopy (SSIM) */ rm editorial note from text, and added internal section link

2014-02-03T09:58:15Z

Saturated structured illumination microscopy (SSIM): rm editorial note from text, and added internal section link

← Older revision		Revision as of 11:58, 3 February 2014
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	~~We perceive~~ that ~~you could only make decisions when you evaluate various kinds of merchandise and decide one~~ of the ~~best out~~ of ~~it which fits your requirements. You might do not have sufficient time to flick thru~~ the ~~internet to research the opinions~~ of ~~each model individually~~. ~~This downside occurs once you do not have~~ a ~~transparent idea~~ of ~~what you want precisely. We can not predict what type~~ of ~~knife will swimsuit you as a result~~ of ~~each person has different necessities and mindset. That is no surprise that this knife is~~ in ~~our top really useful pocket knives listing~~. ~~This is one~~ of ~~the highest rated and greatest-promoting knives out there right now.~~<br><br>~~Gerber’s Bear Grylls Survival Collection Scout Knife places you proper at the twenty greenback~~, ~~shipped price level on Amazon~~.~~com~~. It'~~s a small~~, ~~light-weight design that is large enough to actually minimize stuff, however small and light sufficient to carry properly in your pocket~~. ~~Although it has “Survival” in the title~~, ~~this is a light-weight knife. One of many tradeoffs with keeping~~ the ~~load low and the price down is that~~ the ~~deal~~ with ~~doesn~~'~~t have any kind~~ of a ~~steel liner. It~~'~~s largely produced from the plastic scales on the perimeters.~~<br><br>~~We take into account it our mission that will help you discover the precise knife that meets your wants. First off, you need to try our BIG interactive chart~~ of ~~pocket knives which tables all the most popular knives and their specs that can assist you compare, distinction and make an knowledgeable selection~~. ~~As well as you’ll discover extra detailed evaluations~~ of ~~specific knives~~ in ~~our reviews section and within different articles. The knife weighs four.zero ounces, which~~ is ~~worth it for all~~ of the ~~additional tools you get~~. ~~It makes an excellent every day carry and common use knife. I wouldn’t recommend~~ this ~~as a standalone survival knife~~, ~~for similar causes to~~ the ~~Leek~~.<br><br>~~It is really important to just remember to always have a finest pocket knife with you. It’s one of~~ the ~~on a regular basis important that every person should have which is beneficial~~ for ~~various purposes~~. ~~The general goal of~~ the ~~pocket knife is to cut things. Choosing the best pocket knife is an advanced process. There are many several types~~ of ~~manufacturers promoting completely different ranges~~ of ~~greatest pocket knife from an inexpensive vary to an costly vary~~. ~~There are lots of decisions obtainable~~ to ~~you. 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The knife design is classic~~ and ~~timeless and presents you~~ the ~~correct blend that~~'~~s needed from a great~~, ~~stable knife with a distinguished air to it.~~<br><br>~~The Gerber EAB Lite is a~~ [~~http~~:/~~/wiki.shol.ru/index.php/Survival_Knife_Review_Uk replaceable utility~~] ~~knife that may accommodate any commonplace 2.25″ blade. When no blade has been fitted to it, it may be comfortably folded and stowed away. The handle~~ is ~~supplied with finger grooves that permit for~~ a ~~secure grip~~. The ~~handle additionally features a clip that~~ can be ~~used to clip it on to your pocket or your belt. The EAB Lite is perfect for general utility or construction work like opening packing containers~~, ~~chopping drywall~~, ~~and so on. Whereas Gerber blades are a good fit for the knife~~, ~~try to be careful utilizing other blades in the EAB Lite.~~<br><br>~~They are three important things to pay attention in~~ the [http://~~istoriya~~.~~sumy.ua~~/~~index.php~~/~~What_Is_The_Best_Quality_Survival_Knife survival knife]~~. ~~They're fastened blade~~, top notch metal and thick blade. The fastened blades are designed with the latest technologies. The most effective survival knife comes with the complete tang that extends down into the handle of the knife. You possibly can able to see the very best knife evaluations from OneHornedRhino.com High notch steel both manufactured from the carbon steel or stainless-~~steel. The mixes of those two types of metal are additionally capable of produce one of the best blade for the survival knife. Thicker blades are used for the purpose of hack~~, ~~slash~~, ~~pores and skin~~, ~~chop and assist to save your life~~.		{{Lead rewrite\|date=April 2010}}
			In the mathematical field of [[Galois cohomology]], the '''local Euler characteristic formula''' is a result due to [[John Tate]] that computes the [[Euler characteristic]] of the [[group cohomology]] of the [[absolute Galois group]] ''G<sub>K</sub>'' of a [[non-archimedean local field]] ''K''.

			==Statement==
			Let ''K'' be a non-archimedean local field, let ''K<sup>s</sup>'' denote a [[separable closure]] of ''K'', let ''G<sub>K</sub>'' = Gal(''K<sup>s</sup>''/''K'') be the absolute Galois group of ''K'', and let ''H<sup>i</sup>''(''K'', ''M'') denote the group cohomology of ''G<sub>K</sub>'' with coefficients in ''M''. Since the [[cohomological dimension]] of ''G<sub>K</sub>'' is two,<ref>{{harvnb\|Serre\|2002\|loc=§II.4.3}}</ref> ''H<sup>i</sup>''(''K'', ''M'') = 0 for ''i'' ≥ 3. Therefore, the Euler characteristic only involves the groups with ''i'' = 0, 1, 2.

			===Case of finite modules===
			Let ''M'' be a [[Galois module\|''G<sub>K</sub>''-module]] of finite [[order (group theory)\|order]] ''m''. The Euler characteristic of ''M'' is defined to be<ref>The Euler characteristic in a cohomology theory is normally written as an alternating ''sum'' of the sizes of the cohomology groups. In this case, the alternating ''product'' is more standard.</ref>
			:<math>\chi(G_K,M)=\frac{\# H^0(K,M)\cdot\# H^2(K,M)}{\# H^1(K,M)}</math>
			(the ''i''th cohomology groups for ''i'' ≥ 3 appear tacitly as their sizes are all one).

			Let ''R'' denote the [[local field\|ring of integers]] of ''K''. Tate's result then states that if ''m'' is [[relatively prime]] to the [[characteristic (algebra)\|characteristic]] of ''K'', then<ref>{{harvnb\|Milne\|2006\|loc=Theorem I.2.8}}</ref>
			:<math>\chi(G_K,M)=\left(\#R/mR\right)^{-1},</math>
			i.e. the inverse of the order of the [[quotient ring]] ''R''/''mR''.

			Two special cases worth singling out are the following. If the order of ''M'' is relatively prime to the characteristic of the [[local field\|residue field]] of ''K'', then the Euler characteristic is one. If ''K'' is a [[finite extension]] of the [[p-adic number\|''p''-adic numbers]] '''Q'''<sub>''p''</sub>, and if ''v<sub>p</sub>'' denotes the [[p-adic order\|''p''-adic valuation]], then
			:<math>\chi(G_K,M)=p^{-[K:\mathbf{Q}_p]v_p(m)}</math>
			where [''K'':'''Q'''<sub>''p''</sub>] is the [[degree of a field extension\|degree]] of ''K'' over '''Q'''<sub>''p''</sub>.

			The Euler characteristic can be rewritten, using [[local Tate duality]], as
			:<math>\chi(G_K,M)=\frac{\# H^0(K,M)\cdot\# H^0(K,M^\prime)}{\# H^1(K,M)}</math>
			where ''M''<sup>′</sup> is the [[local Tate dual]] of ''M''.

			==Notes==
			{{Reflist}}

			==References==
			* {{Citation
			\| last=Milne
			\| first=James S.
			\| title=Arithmetic duality theorems
			\| url=http://jmilne.org/math/Books/adt.html
			\| accessdate=2010-03-27
			\| publisher=BookSurge, LLC
			\| location=Charleston, SC
			\| year=2006
			\| mr=2261462
			\| edition=second
			\| isbn=1-4196-4274-X
			}}
			* {{Citation \| last1=Serre \| first1=Jean-Pierre \| author1-link= Jean-Pierre Serre \| title=Galois cohomology \| publisher=[[Springer-Verlag]] \| location=Berlin, New York \| series=Springer Monographs in Mathematics \| isbn=978-3-540-42192-4 \| mr=1867431 \| year=2002}}, translation of ''Cohomologie Galoisienne'', Springer-Verlag Lecture Notes 5 (1964).

			[[Category:Algebraic number theory]]
			[[Category:Galois theory]]

en>Neøn: Missed those apparently.

2012-08-28T04:05:37Z

Missed those apparently.

New page

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