... K-S: A fixed point approach to the stability of quadratic functional equation Bull Korean Math Soc 43, 531–541 (2006) Jung, S-M, Lee, Z-H: A fixed point approach to the stability of quadratic functional ... Hyers-Ulam-Rassias Stability of Functional Equations in Nonlinear Analysis Springer, New York (2011) Jung, S-M, Kim, T-S: A fixed point approach to the stability of the cubic functional equation Bol ... 1.1 using the fixed- point method Stability using the alternative of fixed point In this section, we investigate the stability of the functional Equation 1.1 using the alternative of fixed point...
... et al.: A fixed point approach to the Hyers-Ulam stability of a functional equation in various normed spaces Fixed Point Theory and Applications 2011 2011:67 Submit your manuscript to a journal ... fuzzy normed spaces, functional equations, and fixed point theory We established the Hyers-Ulam stability of the functional equation (1) in various normed spaces by using fixed point method Acknowledgements ... (b) the sequence {Jnx} converges to a fixed point y* of J; (c) y* is the unique fixed point of J in the set Y = {y ∈ X : d(Jn0 x, y) < ∞}; Page of 14 Kenary et al Fixed Point Theory and Applications...
... mapping 4 Fixed Point Theory and Applications The functional equation f x f x−y y 2f x 2f y 1.9 is called a quadratic functional equation In particular, every solution of the quadratic functional ... following cubic functional equation: f 2x y f 2x − y 2f x 2f x − y y 12f x 1.10 It is easy to show that the function f x x3 satisfies the functional 1.10 , which is called a cubic functional equation ... → Y between fuzzy normed vector spaces X and Y is continuous at a point x0 ∈ X if for each sequence {xn } converging to x0 in X, then the sequence {f xn } converges to f x0 If f : X → Y is continuous...
... 2 Fixed Point Theory and Applications In 2003, C˘ dariu and Radu 15 applied the fixed point method to the investigation of a Jensen’s functional equation see 16–19 ... that f 1, |f x | is monotonic and arg f x is monotonic and continuous, then f is the Theodorus function Theorem 1.3 If f : −1, ∞ → C is a solution of 1.1 such that f√ monotonic and such that arg ... approach to the stability of an equation of the square spiral,” Banach Journal of Mathematical Analysis, vol 1, no 2, pp 148–153, 2007 14 S.-M Jung and J M Rassias, “Stability of general Newton functional...
... the authors used Fixed Point Theory for the Functional Differential Equations with Finite Delay 45 integrating factors and converted the given neutral differential equation into an equivalent integral ... s))t≥s≥0 on a Banach space E, and (B(t))t≥0 is a family of bounded linear operators from C([−r, 0], E) or C0((−∞, 0], E) into E In [9, 10], the authors studied the relationship between the bounded ... neutral functional differential equation d (x(t) + G(t, xt)) = Ax(t) + F (t, xt), t > 0, dt x0 = ϕ ∈ D, where A is the infinitesimal generator of a compact analytic semigroup of linear operators,...
... antibodies against histone epitopes that lack potential modification sites To illustrate the putative consequences of this bias, we compared the yeast histone acetylation data from Kurdistani et ... ChIPs, of modification-free histone epitopes or tagged histones, may help to solve the potential bias problems associated with ChIP-on-chip It will also be crucial to verify whole-genome ChIP results ... of functionally related genes that were enriched in certain histone-acetylation patterns Further experiments are needed to reveal the functional relevance of the relationships between histone-modification...
... generalized Hyers-Ulam stability to a number of functional equations and mappings see 7–20 We also refer the readers to the books 21– 25 A quadratic functional equation is a functional equation of the ... we use a fixed point method see 7, 15, 17 to investigate the stability problem of the quadratic functional equation f x y f x−y 2f xx∗ yy∗ 1.8 in C∗ -algebras A systematic study of fixed point ... in Difference Equations for any g, h ∈ E It follows from 3.9 that d Λf, f ≤ 1/2 According to Theorem 1.2, the sequence {Λk f} converges to a fixed point Q of Λ, that is, Q : A → X, and Q √ 2x...
... Holthausen A Chemist’s Guide to Density Functional Theory Second Edition Weinheim · New York · Chichester · Brisbane · Singapore · Toronto III A Chemist’s Guide to Density Functional Theory Second ... (1-5) for an arbitrary molecule is first to set up the specific Hamilton operator of the target system To this end we ˆ need to know those parts of the Hamiltonian H that are specific for the system ... electrons is too small at the Hartree-Fock level, this automatically will lead to a kinetic energy that is too large and a nuclear-electron attraction which is too small (i e., too strong) These...
... have to find a store that has it in stock (I'm currently on a waiting list) I think that affirmations are the easiest tool to use to manifest what you desire They are easy to create (or to find) ... other principles is to clarify one of the steps I have listed here What I have attempted to in this Manifestation Manifesto is to cut to the chase of what I think you need to know to manifest what ... to become deliberate creators of our personal reality Habit What we automatically without conscious thought because of repetition It's how we learn our language How to speak How to walk How to...
... improvement in tomato “germplasm.” A good example is heirloom tomatoes, which have been passed down for generations 1 Overview of Plant Biotechnology 11 The priorities are given for processing tomatoes ... engineered slow-ripening tomato plant It was commercially developed by Calgene Corp in Davis, CA, and was called “FlavR Saver.” This tomato has two distinct advantages over other tomato cultivars: first, ... Others have been trying to improve tomatoes that are processed for catsup, soups, pastes, or sauces by genetically engineering them to contain more solids, be thicker, and to contain more lycopene,...
... of them from consumption, and one from heart disease How far they suffered from their labours on the river it is not very easy to decide, but it will be seen from the following extracts from letters ... the deaths is due to diseases of those organs which might be expected to suffer from muscular exercise carried to excess, it will be allowable to examine somewhat critically into the nature of ... any way to be traced to his exertions in the University Race I am unable to assert ; but from my general observation of his constitution, I should say that his physique was not such as to stand...
... We are ready to give our advice and provide, where appropriate, our technical assistance to jurisdictions that commit to taking steps for necessary reform We are prepared to act together when ... FATF’s decision to remain fully engaged with all those countries and territories We also strongly urge the NCCTs to improve expeditiously their anti-money laundering regime and to remedy the deficiencies ... accounts in such jurisdictions We call on the FATF to continue its work on identification of NCCTs and to revise its list on a regular basis to take into account changes made in these jurisdictions...
... only for audit purposes but to ensure you have documents which enable you to monitor changes 31 Use a Planned v Actual form It is easy to create – it allows you to monitor how you are progressing ... plans and whether you are still on track to deliver on time, to budget and to the required quality standard 39 Set a tolerance figure and monitor e.g a tolerance figure of ±5% means as long as ... milestone dates to check the project is where it should be Review whether activities have been delivered against the milestone dates and take a look forward at what needs to be achieved to deliver...
... first it was the automobile factory that furnished the satisfactory motor But now through the war the airplane factories have made enormous progress and helped the aviator to attain new marks ... how to make donations to the Project Gutenberg Literary Archive Foundation, how to help produce our new eBooks, and how to subscribe to our email newsletter to hear about new eBooks An Aviator's ... of us tried to take some observations, but all had to come back, as the clouds were too heavy This morning it was my turn to go up, but it was raining We have to have the fires going to keep our...
... Prior to the resolution, CcStP and site-directed mutants thereof were doubly gel ltered using NAP or NAP 10 columns (Amersham Biosciences) to remove phosphate from storage stock solutions to an ... 7.9 was calculated from the pH prole of log ksyn for PL-CcStP bound to phosphate Unfortunately, the activity of PLCcStP in the presence of activator phosphite was too low to permit determination ... dissociation and reassociation will contribute to a better understanding of the dimerization process per se and the role of interprotomeric contacts to generate a functional enzyme The utilization of a...
... channeling of fructose 1,6-bisphosphate (Fru1,6P2) to CO2 (99 ± 16% of the flux from Fru1,6P2 channeled, P ¼ 0.005) This result requires that all of the downstream steps from Fru1,6P2 to pyruvate and ... intermediate or any compound that, on entry into the cell, is converted to a glycolytic intermediate (e.g mannose to mannose-6-phosphate to Fru6P) In addition, results from the inverse experiment ([12C]glucose ... Results that the CO2 evolved from [14C]glucose was strictly proportional to the total uptake of glucose Thus, we can use CO2 evolved as a reliable proxy for the total uptake To facilitate the following...
... consideration Recall from the introduction that we want to train our ranking model so that higher scored partitions according to the target coreference scoring program are ranked higher To this end, ... attempt to optimize our ranking model with respect to the target coreference scoring function, essentially by training it in such a way that a higher scored candidate partition (according to the ... committing ourselves to a particular resolution method as in previous approaches, our framework makes it possible to leverage the strengths of different methods by allowing them to participate in...
... went to Stovey’s house, roused him up, and got his consent to sign with Jersey City Meanwhile some Trenton people got onto the scheme and notified the police to prevent Stovey from leaving town ... to his hometown of Trenton for a midnight raid Years later he told the story to an African American newspaper, the Cleveland Gazette: By luck I happened to think of a colored pitcher named Stovey ... Powers went on to state that later that year the New York Giants negotiated to buy Stovey from Jersey City so he could be “sent to Chicago to pitch the last four decisive games Stovey had his...
... age ranges between 51 to 62 years The disease-free period prior to the hepatectomy was between 29 to 48 months Sixty-five percent are single lesions In 37.5% - 90% hepatectomy was associated with ... size is varied, measuring to 18 cm The margin of liver resection was R0 in 50% to 100% Morbidity ranges from 0% to 21% with a mortality of 0% The recurrence rate was 50 to 80% Average actuarial ... organs to the liver with hepatectomy was most often performed [5,14] The combination of major hepatectomy and debulking has been performed, but this increases the morbidity [10,16,22] A hepatectomy...
... value of clays varies from 6,9 to 7,5, Eh from -20mv to +150mv and Kt from 0,7 to 1,4 These environment indicators proved a brackish transitional environment from river to the sea (Tab.2) This ... transgressive system track (from 10Ky Bp to 5Ky Bp), highstand depositional system tracks (from 5Ky Bp to 1.5Ky Bp) and recent transgressive system track (from 1.5 Ky Bp to recent) Transgressive depositional ... 18 lithofacies, distributed from the land to the 25m water depth 2) Thickness of the Holocene deposits varies from 40 to 55 m, consist of silty sand and clay, coming from the Mekong river A depositional...