green s function in closed form

... string with mass points attached to springs 1.1 pr:N1 pr:mi1 pr:tau1 fig1.1 pr:eom1 The String We consider a massless string with equidistant mass points attached In the case of a string, we shall ... Case 1: A Closed String fig1loop A closed string has its endpoints a and b connected This case is illustrated in figure This is the periodic boundary condition for a closed string A closed string ... shall see (in chapter 3) that the Green s function corresponds to an impulsive force and is represented by a complete set of functions Consider N mass points of mass mi attached to a massless string,...

Ngày tải lên: 05/03/2014, 11:21

... expressed sin ρ(t s) +sin ρ(T−t +s) , 2ρ(1−cos ρT) sin ρ (s t)+sin ρ(T s+ t) , 2ρ(1−cos ρT) G(t, s) = ≤ s ≤ t ≤ T, ≤ t ≤ s ≤ T By direct computation, we get ρT sin sin ρT ≤ G(t, s) ≤ = max G(t, s) , ... and e(t) is a continuous function on [0, T] It is well known that the solutions of (3) can be expressed in the following forms T u(t) = G(t, s) e (s) ds, where G(t, s) is Green s function associated ... http://www.boundaryvalueproblems.com/content/2011/1/8 Page of Remark Theorem contains the partial results of [4-7] obtained in case of positive Green s function, vanishing Green s function and sign-changing Green s function, ...

Ngày tải lên: 21/06/2014, 01:20

... determinants and linear functionals We construct a special basis of the solutions in Section and introduce some functions that are independent of this basis The expression of the solution to the second-order ... problems, conditions for positiveness of Green s functions, and solutions with various BCs, for example, NBCs The structure of the paper is as follows In Section 2, we review the properties of functional ... with regard to the basis {u1 , u2 } Green s Functions 5.1 Definitions of Discrete Green s Functions We propose a definition of Green s function see 9, 12 In this section, we suppose that Ã Ê and Xn...

Ngày tải lên: 21/06/2014, 11:20

... by the Src family of tyrosine kinases in rat pancreatic acini Src family tyrosine kinase inhibitors have been demonstrated to abolish CrkII phosphorylation induced by sphingosine 1-phosphate ... proteins such as p130Cas [7] and paxillin [6], creating potential binding sites for the SH2 domain of CrkII, necessary for the formation of protein complexes Our results demonstrated that CrkII is ... CrkII was tyrosine phosphorylated in response to CCK, proteins from the same acinar lysates were immunoprecipitated with an anti-phosphotyrosine Ig and analysed by Western blotting using a specific...

Ngày tải lên: 07/03/2014, 21:20

... kinase domain that inactive kinase activity likewise reduces toxicity In one cell model, LRRK2 expression may cause increases in caspase-8 activation as a result of a kinase-sensitive association ... variants segregate with disease in large families The most common of the known LRRK2 mutations (G201 9S) increases in vitro kinase activity, analogous to mutations in the same kinase subdomain in ... LRRK2 kinase substrates that shed light on the pathogenic mechanisms occurring in PD Protein kinases similar to LRRK2 with respect to encoded kinase domains may provide insight into LRRK2 functionality...

Ngày tải lên: 23/03/2014, 04:20

... days Clinical assessment and vascular studies were repeated on day The present study was conducted, using both case-controlled cross-sectional and prospective interventional approaches, to dissect ... presence of and the role played by endothelial dysfunction in the atherosclerotic process, as well as its reversibility, have been confirmed in various clinical settings, including systemic vasculitis, ... corticosteroids used in the inactive patients in the crosssectional study was considerably less than that used among the patients with active BD, both in the cross-sectional and in the prospective parts of...

Ngày tải lên: 09/08/2014, 10:21

... legal system, it is first necessary to understand the diverse functional units of the system These include institutions, such as legislatures and courts,5 legal precepts, such as rules and principles,6 ... rules; species of law besides rules, such as contracts and property interests; legal methodologies, such as those for interpreting statutes; and enforcive devices, such as sanctions and remedies ... possible ends to be pursued Form in such units is not solely instrumental; it is not solely a means to external and independently existent ends, such as in my speed limit example (timeliness...

Ngày tải lên: 09/08/2014, 11:20

... legal form as little more than nonsense upon stilts.92 In some systems, including the United States, legislatures and courts sometimes create formalistic legal rules, such as those with contents ... major institutional form There are basic similarities in the overall forms of legislatures in developed Western systems The constituents of the overall forms of legislatures include compositional, ... in many Western systems typically provides for the dialogic definition and resolution of disputed issues of fact and law arising out of discrete episodes in the past That is, opposing sides assert...

Ngày tải lên: 09/08/2014, 11:20

... analysis In Hart s terms, a legal system is essentially a system of rules consisting mainly of primary (duty-imposing) and secondary (power-conferring) rules He said it is the “union” of these ... primary objects of analysis: institutions, such as legislatures and courts, precepts, such as regulative rules and principles,16 nonpreceptual law, such as contracts and property interests, interpretive ... contents of such reinforcive rules prescribe features independently classifiable as formal, the contents of these rules afford at least the beginnings of a basis for constructing the overall form...

Ngày tải lên: 09/08/2014, 11:20

... “partyblessed” legislative business within existing forms In many developed Western systems, a majority political party controls the leadership position in a legislature and controls its committee system, ... follows This form has diverse purposes Its founding purpose is simply that of bringing the functional unit of a rule into being Its immediate purpose is to prescribe to its addressees that specified ... an institution such as a legislature consists of precepts in the form of reinforcive rules having contents that in effect prescribe formal features and other facets of the institution Some reinforcive...

Ngày tải lên: 09/08/2014, 11:20

... judge-made case law interpreting or filling gaps in constitutional texts, case law interpreting or filling gaps in statutes, case law interpreting or filling gaps in administrative regulations, and case law ... purposes, distinguishable from incompleteness Also, a rule complete in all respects – one that has all its parts or elements – could still be indefinite in some degree in all these respects Of ... excesses, and provide bases for redress Precepts in the form of vague general principles or maxims could not serve such purposes nearly so well The structures and procedures of legal institutions,...

Ngày tải lên: 09/08/2014, 11:20

... interests in land interests in residential and manufacturing structures, goods, including fixtures leasehold and other limited interests in goods, including equipment bailor and bailee interests ... organized forms specified in law For example, full ownership of land is distinguished in the law from many lesser interests, including leasehold interests Freedom of ownership also presupposes the ... interests in goods security interests in goods bonds bank accounts money negotiable instruments licences, transferable and non-transferable copyrights stocks and bonds in corporations patents The...

Ngày tải lên: 09/08/2014, 11:20

... statutes, with both as clearly expressed as possible This combination also yields imprints of form on resulting interpretations These imprints forfend P1: PJL 0521857651c08 266 CB966B/Summers ... is genuinely interpretive in nature, that is, generally favors those conclusions based on purposively reasoned interpretive arguments supporting plausible meanings of specific words and phrases ... its purposes inform its overall form and constituent features This form defines and organizes how interpretive For a systematic general study of interpretive methodologies for statutes in Western...

Ngày tải lên: 09/08/2014, 11:20

... 19:24 Forms of Sanctions and Remedies other components must share in this credit Study of this form also advances understanding of the sanction Imprisonment for a serious crime presupposes many ... The founding purpose informing this overall form is that of defining, organizing, and bringing such a discrete sanctioning unit into being so that it can, in turn, serve its further purposes With ... perhaps many addressees will interpret and apply the same laws in diverse and inconsistent ways If this unsystematized state of affairs is sufficiently extreme, the system might even be quite dysfunctional...

Ngày tải lên: 09/08/2014, 11:20

... rules A form- oriented approach addresses and underscores in general terms the imprints and other effects of choices of form in functional legal units and in systematizing devices at all stages ... components in first-level units and in second-level systematizing devices This analysis identifies choices of form made, or carried forward, at each stage of the linear progression, shows how choices ... constitutive of some ends.4 I not, however, equate linear analysis as such with form- oriented analysis Most form- oriented analysis so far in this book has not been presented in linear terms,...

Ngày tải lên: 09/08/2014, 11:20

... and is, as we have seen, itself formal in several ways The legal reason for action or decision that the law gives rise to here is also formal in its pre-emptoriness and in its determinateness The ... actions at various stages of a linear progression In some systems, such parties must first “exhaust administrative remedies.” Moreover, when a dispute over fact or law does arise between an administrative ... court considers the information and alleged information so presented, makes findings of facts, and issues an opinion, that contains and relates information regarding the disposition of the case, and/or...

Ngày tải lên: 09/08/2014, 11:20

... sugar (s) to the tissues Needless to point out that, as far as flying insects are concerned, air sacs will assist flying by reducing the weight In the present study, we focused on the internal structure ... comprising the tip of the gaster are both brown in color For respiration purposes, hornets of genus Vespa possess a pair of air openings – the spiracles – in the last two segments of the thorax, in ... this average, rather than by any fine structure It is emphasized that this loss of information does not result in a loss of signal, but in a non-resolved dispersion of the fine-structured signal...

Ngày tải lên: 11/08/2014, 00:22

... mutation in our cohorts Discussion As recently shown, mutations in the PINK1 gene rarely cause autosomal-recessively transmitted PD [3] Besides an early age of onset, the observed clinical symptoms in ... a serine-threonine kinase domain with homology to kinases of the Ca2+/calmodulin family[3] It appears to exert protective effects against cellular stress within mitochondria[3] These findings ... variant was not associated with late-onset PD in our study These findings correspond to previously published data of no leading association of other coding SNPs within the PINK1 gene and PD [13] In...

Ngày tải lên: 11/08/2014, 08:20

... systems such as waiting times, opening hours, human resources, commodities and bureaucratic factors [39,44] The economic costs of using healthcare include user fees, informally levied charges, ... and OST) and 64 NGOs (needle/syringe exchange, awareness-raising and social support programmes) operating in three contrasting settings selected in each country for fieldwork In Ukraine these were ... relevant ethics committees in the countries where the studies took place, where such committees existed Results Stigmatisation of HIV and drug use Injecting drug users using HIV/AIDS services frequently...

Ngày tải lên: 11/08/2014, 14:21

... of this docking and scoring evaluation to investigate as systematically and exhaustively as possible the current state of the art in docking and scoring to determine the best possible binding mode ... cholinergic functions has been the use of cholinomimetic agents The function of cholinesterase inhibitors (ChEIs) is to increase the endogenous levels of acetylcholine (ACh) in the brains of ... pose was evaluated by considering the RMSDs values, docking scores and similarity scores The selected re-docked pose was further evaluated by its interactions and energetic analysis to investigate...

Ngày tải lên: 13/08/2014, 16:20