ii the zero order approximation for multielectron atoms

... order estimations were given in their papers The estimations of error bounds for these asymptotic solutions to 1.1 were given in by Zhang et al But the problem of obtaining error bounds for these ... The purpose of this and the next paper Error bounds for asymptotic solutions of second -order linear difference equations II: the second case is to estimate error bounds for solutions to 1.2 The ... and part II the next paper , which correspond to the different two cases of , respectively In the rest of this section, we introduce the main results of in the case that k is positive In the next...

Ngày tải lên: 21/06/2014, 11:20

... Political Writings, p   (II) : Autonomy and the moral order  If the public order is a conception of freedom of choice under the rule of law, the private moral order, on the other hand, is a conception ... are not “props” for the moral law (as they are in their early form in the first Critique) but “necessary conditions” for the achievement of the highest good Kant, Religion Within the Limits of Reason ... for the social order, or whatever; to one’s duty for the sake of any of those other things would erase the unconditional character of moral duty, making it instead (II) : Autonomy and the moral order...

Ngày tải lên: 01/11/2013, 08:20

... of the text as they can recall, they generally 17 remember some bits of the text and forget others By and large, they can not fulfill the tasks if they focus on linguistic items rather than the ... This helps them take the information or whatever they have produced in the previous stage, and other meaningful activities There are two common forms that post-listening tasks can take They are ... This part of the thesis presents and discusses the findings that arise from the specific questions in order to answer the research questions The findings resulted from the analysis of the three...

Ngày tải lên: 05/02/2014, 22:02

... interest rates or income, is set to zero in the remainder of the analysis.10 The function [ · ]+ truncates the quantity inside the brackets at zero and implements the zero bound.11 As shown by OW, ... report the upward bias in the mean real rate and the downward bias in the variability of the real rate depending on the level of the nominal equilibrium rate of interest The downward bias in the ... shown, the short-term nominal interest rate will fall back to zero either during the peg or at the end of the peg period Such a recurrence of zero interest rates may render the communication of the...

Ngày tải lên: 22/03/2014, 23:20

... stimulate the economy when the zero bound binds We begin by reviewing the underlying mechanism of the zero- bound problem and then assess the risk of hitting the zero bound, including the potential ... available to the central bank for stimulating the economy when interest rates are stuck at zero In the final section, we draw some conclusions on the general implications of the zero bound for monetary ... Influence the Risk of Hitting the Zero Bound The factors affecting the probability of hitting the zero bound can be divided into two categories: those that influence the mean, or average, level of the...

Ngày tải lên: 29/03/2014, 01:20

... moves farther away from the dead zone toward the right or left The rate of change in trajectory deviation is controlled by the adjustable size of the hull The wider the hull, the slower the rate ... The kinematic features also generate the interactive feedback experienced by the participant The term adaptive in this context refers to the ability of the therapist to adjust components of the ... throughout the movement As the participant reaches, his end-point’s decreasing distance to the target “pushes” the particles back to ultimately re-form the image when the target is reached As the expanded...

Ngày tải lên: 19/06/2014, 08:20

... techniques appeared for the investigation of such equations Some of them 1, 19 make use of the methods developed for the second -order equations 16, 17, 20 like the Riccati transformation and the integral ... satisfies D0 , and then from the first two inequalities of D0 , we have the information only about the zero and the first derivative of y t We have no information about the second and the third derivatives, ... derivatives, but on the other hand, we know the sign properties of the second and the third quasiderivatives of y t Example 2.9 Consider the third -order trinomial equation of the form y α 1−α y t...

Ngày tải lên: 21/06/2014, 11:20

... symmetry for the multivariate p-adic fermionic integral on Zp , we derive some identities of symmetry for the ζ-Euler polynomials of higher order By using our identities of symmetry for the ζ-Euler ... polynomials of higher order, we can obtain many identities related to the Frobenius-Euler polynomials of higher order On the Symmetry for the ζ-Euler Polynomials of Higher Order Let w1 , w2 ∈ N ... polynomials of order k, denoted En,ζ x , are defined as ext k ζet ζet 1 × ··· × ζet ext ∞ n k En,ζ x tn n! 1.11 k Then the values of En,ζ x at x are called the ζ-Euler numbers of order k When k 1, the polynomials...

Ngày tải lên: 21/06/2014, 20:20

... polynomials attached to χ of higher order Symmetric Properties for the Generalized Bernoulli Polynomials of Higher Order Let χ be the Dirichlet’s character with conductor d ∈ N Then we note that t χ x ext ... fn x where f derive the following equation from 1.3 : f x n n ∈ N Then we can n−1 I fn 1.4 f i I f i see 1–11 Let χ be the Dirichlet’s character with conductor d ∈ N Then the generalized Bernoulli ... called the generalized Bernoulli numbers attached to χ of order k When k 1, the polynomials of numbers are called the generalized Bernoulli polynomials or numbers attached to χ Let w1 , w2 ∈ N Then...

Ngày tải lên: 22/06/2014, 02:20

... bifurcation theorem, Ma established the following theorem Theorem 1.2 Let H1 , (H2), (H3), and (H4) hold Assume that for some k ∈ N, λk λk < f∞ f0 1.6 Then i if r ∈ λk /f∞ , λk /f0 , then 1.1 have ... in 0, and has exactly k zeros in 0, ; i u0 iii u has a zero strictly between each two consecutive zeros of u ν ν Remark 2.1 Obviously, if u ∈ Tk , then u ∈ Sν or u ∈ Sν The sets Tk are open in ... , ∞ Otherwise, if there exist η1 , y1 ∈ Dk ∩ Tk and ν ν ν ν η2 , y2 ∈ Dk ∩ Th for some k / h ∈ N, then by the connectivity of Dk , there exists η∗ , y∗ ∈ Dk such that y∗ has a multiple zero point...

Ngày tải lên: 22/06/2014, 06:20

... function The details of the monotone iterative method can be found in [20–27] and for the abstract monotone iterative method, see [28, 29] To the best of the authors’ knowledge, this is the first ... x(t) ≥ 2(1 + η)−1 x t, − (t − η) , t ∈ [0,1] (2.3) The proof of (ii) is similar to that of (i) while (iii) can be proved using the properties of the cone P Let us define an operator Ω : P → E by ... P For x ∈ A, let y = Ωx, which is bounded in E as the nonlinear functions f and K are continuous 4 Boundary Value Problems The expression for (Ωx) is given by (2.5) If A is bounded, then the...

Ngày tải lên: 22/06/2014, 19:20

... with order Nq by P [Nq −1/Nq ] (s, m, γ) PERFORMANCE OF DIGITAL MODULATIONS OVER THE WEIBULL FADING CHANNEL In [7], based on the obtained closed-form expression for the Weibull MGF, and using the ... the MGF of the SNR per branch, is a properly chosen constant in the region of convergence in the complex s-plane, and SNRMRC is the total SNR, which is equal to the sum of the branches SNRs For ... on the statistics of the signal-to-noise ratio (SNR) Assuming that both the average signal and noise powers are unity, then the SNR will be equal to the squared channel amplitude, X One of the...

Ngày tải lên: 22/06/2014, 22:20

... problems for the ᏿ᐃα -equations is the Betti number of the configuration space The topology of the configuration space was described in [1] Besides, if the SW-theory is a Morse theory, another natural ... (2.12) Proof (see [3, Lemma 2.3]) The gauge transform is the Coulomb one given in the Lemma 2.1 Considering the gauge invariance of the ᏿ᐃα -theory, and the fact that the gauge group Ᏻα is an infinite-dimensional ... ,e4 } be the canonical base of R4 , so ν = −e4 is the normal vector field along ∂X Theorem 1.2 (main theorem) If the pair (Θ,σ) ∈ Lk,2 ⊕ (Lk,2 ∩ L∞ ) satisfies the ᏴCondition 3.1, then the problems...

Ngày tải lên: 23/06/2014, 00:20

... transpositions, then the polynomial (1) is equal to a sum of polynomials of the form (2) and again is TNN (⇐) Suppose that π is not less than or equal to σ in the Bruhat order By Theorem we may ... transpositions, then the evaluation of (3) at A is equal to a sum of polynomials of the form (4) and again (3) is SNN (⇐) Suppose that π is not less than or equal to σ in the Bruhat order By Theorem ... an,σ(n) = −2q , and the polynomial (1) is not TNN Our second new criterion defines the Bruhat order in terms of Schur functions (See [9, Ch 7] for definitions.) Any finite submatrix of the infinite matrix...

Ngày tải lên: 07/08/2014, 08:20

... standing, the actions of the QL depend on whether the spine or the pelvis is stabilized If the pelvis is stabilized, QL contraction laterally flexes and extends the spine [1,20,21] With the spine ... increased towards the formerly low crest side If the body remodels and adapts to the pelvic unleveling/torsion caused by anatomic LLI, then by putting a lift under the side of the "low" iliac crest, ... in the muscles, ligaments, joints and bones to compensate for the imposed asymmetry Because these adaptive compensations to the LLI have become anatomic, they are not likely to change as the...

Ngày tải lên: 13/08/2014, 13:22

... Drosophila Among the genes bound by Pol II, some carry uniform Pol II binding throughout the gene, including the coding region, whereas in others Pol II binding signals were prominent in the promoter ... to backtracking along the DNA template, such that the 3’-OH of the nascent RNA becomes misaligned with the Pol II active site By associating with the stalled Pol II, TFIIS enables transcription ... bound by the Pol II preinitiation complex (PIC), although no expression was detected for these genes These authors used specific antibodies against the PIC components of Pol II and the general...

Ngày tải lên: 14/08/2014, 08:21

... interaction of the atoms with the laser light field The light field exerts a controllable force on the atoms The force exerted on atoms by the light can be split into two categories THEORY OF COOLING ... 0, i.e., for rest atoms there is no damping force on atoms (c) At v > 0, F < 0, i.e., for atoms moving toward the σ + beam, net damping force along the σ + propagation direction Due to the optical ... 0, i.e., for rest atoms there is no damping force on atoms (c) At v > 0, F < 0, i.e., for atoms moving toward the σ + beam, net damping force along the σ + propagation direction Due to the optical...

Ngày tải lên: 08/09/2015, 15:07

... the operator In the rest of paper we use the following notations is zero matrix of order d × d and θ is zero element of d Id : the identity matrix of order d ν z(t) := t (t − s)ν−1 z(s)ds, for ... for conditions of coefficient matrices for which the operator is Fredholm of zero index (section 2) and the second is characterizing the set of all right-hand side functions y ∈ Z for which the ... ∈ Im , } Proof The proof of this Lemma is straightforward and we will omit the details Theorem 2.1 The operator • zero if dim (Im + Im • positive if dim (Im is Fredholm Moreover the index of is...

Ngày tải lên: 14/10/2015, 08:45

... used only to capture the DAS28, the CDAI and other clinical characteristics measured at the baseline and outcome VARA visits; all other data used for the analysis were from the administrative claims ... months) after the index date If there was no VARA visit at year, then these treatment episodes were excluded as there was no clinical gold standard with which to compare the algorithm’s performance ... that account for the within-person variance by widening the confidence intervals of the PPV, NPV, Se and Sp, but leave the point estimates unchanged For all treatment episodes where there was discordance...

Ngày tải lên: 25/10/2012, 10:45

... compression on the vessels; the authors suggest the use of the term ‘myolymphokinetic therapy’ when these activities or exercises result in a volumetric reduction of the limb These exercises ... types of movement The same activity can increase or decrease the volume of the limb depending on several factors such as, for example, the weight and the fitness of the patient and the duration of ... these patients to return to a productive life Guidance, adaptations and supervision when performing these activities are necessary for this form of treatment until the patients are aware of the...

Ngày tải lên: 26/10/2012, 09:39