User talk:72.21.155.72

P=NP marty.musatov@gmail.com - April 1st, 2009 - (view article) Martin Michael Musatov. P==NP (talk) 10:32, 8 May 2009 (UTC) proof.

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This page hosts requests for requesting administrator access on the Meta-Wiki; for requesting administrator access on any other wiki, please see the index of request and proposal pages, where a Steward can do the job if required. Bureaucrat, checkuser and bot requests are also made here. Before making a request here, please see the administrator policy. Requests should be listed here for at least seven days; bureaucrats should only close after this minimum time. Adminship will be granted by a support ratio of at least 75%. If a request hasn't been addressed by a bureaucrat after a lengthy period of time, please leave a note at Requests for help from a sysop or bureaucrat. Requests may be extended, or put on hold by bureaucrats, pending decision or finding of consensus. Requests for temporary adminship and bot requests may be less formal and often go for a shorter duration if consensus becomes clear after only a few days of discussion. All editors with an account on Meta, at least one active account on any Wikimedia project, and a link between the two, may participate in any request and give their opinion of the candidate. However, more active Meta editors' opinions may be given additional weight in controversial cases. See below for information on prerequisites on submitting a request, and how to add a nomination.

==Information== Note that this page is for access on Meta only. See the Steward requests/Permissions page for adminship/deadminship requests on other projects.

===Regular adminship=== #Before requesting admin access, please ensure you meet all of the minimum criteria: #* Be an administrator, bureaucrat, or checkuser on a local Wikipedia or related project. #* Have a user page on Meta, with links to the user pages on other participated projects. This can state that SUL is activated or be provided via a Wiki matrix if that is not possible. #* Have a valid contact address (either a confirmed email address in preferences, or a valid email address on the user page). #* Are currently an active contributor on Meta. This is a subjective, not an objective, measure and there is no official post count. # As Meta has a cross wiki role admins here are expected to have cross wiki experience. SUL confirmation or a matrix will mean that editing on other wikis can be easily seen. It would be expected that those seeking adminship here would have both reasonable experience here and on other wikis. # Given the multi lingual nature of Meta, {{user language}} information will be of use to others. # Place a request on this page, by transcluding a subpage, for example {{Meta:Requests for adminship/Example}}. Please put the newest request on the top. Bear in mind that even if you do meet the criteria above this does not mean that the community will automatically approve a request. Please add a minimum ending date to the election, allowing a full 7 day period from the first timestamp.

===Bureaucratship=== Add your request below under the bureaucratship section. Please note: * only active administrators can become bureaucrats, and only after 6 months of regular adminship * User is endorsed by two current bureaucrats after he/she nominates themselves here If you fail any of these requirements, you will not be assigned the bureaucrat flag. For more information see Meta:Bureaucrats

===Other access=== * Temporary adminship: If you need temporary sysop access for a particular reason (such as ability to edit protected pages), you may request temporary adminship on meta. In this case, adminship shall be granted with no requirements and approval, but the user will promise to limit their activity to the necessity of what they asked for. Temporary sysop access will normally be valid for one month. * Bot: Please read the bot policy. This wiki allows global bots and automatic approval of certain types of bots; for other bots, add your request below under the bot section, in the same way as an admin request. * Checkuser: please read the CheckUser policy and add your request below under the checkuser section, in the same way as an admin request.

Requests for regular adminship

{{Meta:Requests for adminship/lustiger_seth2}}

==Requests for temporary adminship== {{Meta:Requests for adminship/2009 Board Election Committee}}

==Requests for bureaucratship == :none currently.

==Requests for CheckUser access== :none currently.

==Requests for Oversight access== :none currently.

==Requests for bot flags== :none currently.

==See also== * Meta:Administrators - Current administrators * Meta:Administrators/confirm - Current confirmation discussions * Meta:Index/Requests and proposals * User groups - Information on user groups

(refactored)

[P=NP]

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Proof. If h satisfies the ordinary heat equation ht = △h with respect to the evolving metric gij(t), then we have d dt R hu = 0 and d dt R hv ≥ 0. Thus we only need to check that for everywhere positive h the limit of R hv as t → T is nonpositive. But it is easy to see, that this limit is in fact zero. 9.4 Corollary. Under assumptions of the previous corollary, for any smooth curve γ(t) in M holds − d dt f(γ(t), t) ≤ 1 2 (R(γ(t), t) + |γ˙ (t)|2) − 1 2(T − t) f(γ(t), t) (9.2) Proof. From the evolution equation ft = −△f + |∇f|2 − R + n 2(T−t) and v ≤ 0 we get ft+1 2R−1 2 |∇f|2− f 2(T−t) ≥ 0. On the other hand,− d dtf(γ(t), t) = −ft− < ∇f, γ˙ (t) >≤ −ft + 1 2 |∇f|2 + 1 2 |γ˙ |2. Summing these two inequalities, we get (9.2). 9.5 Corollary. If under assumptions of the previous corollary, p is the point where the limit δ-function is concentrated, then f(q, t) ≤ l(q, T − t), where l is the reduced distance, defined in 7.1, using p and τ (t) = T − t.

As you can clearly see by the below reference subset-sum problem we have proven P=NP.

References

Proof P Equals NP is contained in this paper.

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