the fredholm alternative for symmetric equations

... 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 ... while the second author were visiting the Vietnam Institute for Advanced Study in Mathematics (VIASM) References [1] L Cesari, Functional analysis, nonlinear differential equations and the alternative...

Ngày tải lên: 14/10/2015, 08:45

... element of the subgroup is a composition of Dehn twists along these curves THE TITS ALTERNATIVE FOR Out(Fn ) II Our main theorem is the analogue of Kolchin’s theorem for Out(Fn ) Fix once-and -for- all ... [BFH97a] The following corollary of Theorem 1.1 gives another special case of the Tits alternative for Out(Fn ) The corollary is then used to prove the full Tits alternative Corollary 1.3 Every unipotent ... depend on the element of Z) in Gi−1 and are therefore fixed by every element of Z The suffix map S : Z → Fn , which assigns the suffix ui to the element of Z, is therefore a homomorphism The prefix...

Ngày tải lên: 22/03/2014, 20:20

... for the analysis of our equations The reader can recover the full result of the proposition from the estimates for ν in Section For the slighter weaker result then, by virtue of the co-area formula, ... uniquely determines the solution The conditions for predictability are then related to the behavior of the unique solution of the initial value problem on the boundary of this region In the following ... know the conformal structure and can identify complete initial data These aspects of the solution will be described in what follows The reader can refer to [15] for explicit formulas for the metric...

Ngày tải lên: 05/03/2014, 23:20

... > for large k are negative see 19 , that is, > wk > wk Then using the same argument as in the first part of the proof we have < vk < vk for large k for any solution v of 5.15 , that is, u is the ... 22−p for p ∈ 1, Denote t q − 1/ p − , then we need to prove the inequality g t : t − · 2−1/t ≥ for t ∈ 1, ∞ A standard investigation of the graph of the function t → · 2−1/t shows that the required ... it is called the minimal solution of 2.1 If w is the distinguished solution of 2.1 , then the associated solution of 1.1 given by the formula k−1 Φ−1 xk j m wj rj is said to be the recessive...

Ngày tải lên: 21/06/2014, 20:20

... Notice that in all these equations, f is the unknown function and the other ones are given mappings Our principal tool is the following fixed point alternative 4 Fixed Point Theory and Applications ... verifies the functional equation DS x, y formulae are given, which depend on the control δ as well as on the equation Df x, y We refer the reader to the expository papers 11, 12 or to the books ... 13–15 see also the recent articles of Forti 16, 17 , for supplementary details On the other hand, in 18–25 , a fixed point method was proposed, by showing that many theorems concerning the stability...

Ngày tải lên: 22/06/2014, 06:20

... unit modulus Then, the assertions of the theorem follow from Remark 4.1 We are now in the position to give the main results related to the stability problem Theorem 4.3 Let k = 2ν − The k-step ... r =1 r ei(θ/2) + e−i(θ/2) = iθ for even k, (2.24) for oddk, for even k, for odd k The following result holds true Theorem 2.5 Assuming that the multiplicity of the roots and −1 of both polynomials ... coming from the factors (eiθ + 1) and (eiθ − 1) The stability problem for the top order family The results obtained in the previous section permit to attack the question concerning the stability...

Ngày tải lên: 23/06/2014, 00:20

... 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 ... Therefore, by the Sobolev embedding theorem, FA ∈ Lq , for all q < ∞ Proposition 4.3 Let (A,φ) be solutions of the ᏿ᐃα -equations, where (Θ,σ) ∈ L1,2 × (L1,2 ∩ L∞ ), then ( A )2 φ ∈ L p , for...

Ngày tải lên: 23/06/2014, 00:20

... where the grids not conform to the shape of the body Instead they employ cartesian meshes and alternative ways to incorporate the boundary conditions in the (discrete) governing equations The simple ... position of the boundary and the elastic force it exerts on the fluid is then transferred to the cartesian mesh in order to obtain a flow solution To project the forcing on the grid, a smoothed delta ... far is that their performance suffers at higher Reynolds numbers The spreading of the forcing by the smoothed distribution function undermines the local accuracy of the solution in the boundary...

Ngày tải lên: 11/07/2014, 23:20

... are the Since D and It are diagonalt xt matrices, the resulting system of mixed model equations is block-diagonal and, therefore, the solutions for the fixed and random effects for each transformed ... corresponding to the fixed effects on the one hand and to the random on the other The off-diagonal blocks are moved to the right-hand side after the current solutions of the effects part, the system ... one can solve the univariate systems: DIFFERENT MODELS FOR DIFFERENT TRAITS A third requirement for the applicability of the canonical transformation is the use of the same model for each trait...

Ngày tải lên: 09/08/2014, 18:22

... obtained, the procedure was repeated for the right foot For the non-weight bearing image, the participant was asked to sit on a bar stool and place their left foot over the surface of the weight ... well as the position of the foot to the digital camera, the tips of the toes of the foot being photographed were positioned so that they were between 10 and 13 cm above the surface of the weight ... correlation for arch height was noted between the digital image and the radiograph for 90% weight bearing (r = 0.89) The correlation for arch height between the digital image and the radiograph for both...

Ngày tải lên: 10/08/2014, 21:23

... on the spelling of an author's name and email address in the publication of this work [1], as the mistake was not caught prior to publication The name to be corrected is Kelly K Fosberg and the ... sit-to-stand: an alternative for the navicular drop test J Foot Ankle Res 2008, 1(1):3 Publish with Bio Med Central and every scientist can read your work free of charge "BioMed Central will be the most ... significant development for disseminating the results of biomedical researc h in our lifetime." Sir Paul Nurse, Cancer Research UK Your research papers will be: available free of charge to the entire biomedical...

Ngày tải lên: 10/08/2014, 21:23

... is the link function For the PA-GEE models, V is the variance function, φ is dispersion parameter, I is the indicator function The variance matrix for the i-th subject is defined in terms of the ... chosen • The expected value which depends on the link function and the distribution of the random effect must be derived • The variance-covariance of the random effect must be derived Formally, for ... we hypothesize that there are some underlying distributions for random effects in the model There are three items we must address to build models for SS-GEE models: • A distribution for the random...

Ngày tải lên: 05/10/2015, 13:53

Ngày tải lên: 03/10/2012, 15:21

Ngày tải lên: 25/10/2012, 10:02

... [15] The synthesis of the tetrazine dicarbonic acid derivate was performed as described by [15] The synthesis procedure of the corresponding dansyl derivative was carried out according to the ... of the dansyl derivative and the N-ethyl-diisoproylamine and the dansyl sulfamidoethylamine to the tetrazine product linked with 5-dansyl sulfamidoethylcarboxamide-2-yl For the syntheses of the ... dimethyl-1,2,4,5-tetrazine-3,6-dicarboxylate The first highly active part of the construct, allows the ligation of e.g carrier molecules on the desired side of the molecule The second dienophile on the other side with lower...

Ngày tải lên: 25/10/2012, 11:00

Ngày tải lên: 07/11/2012, 14:21

... Efferent reading and aesthetic reading……………………………….………………14 Chapter III: Methodology……………………………………………………………………15 III.1 .The setting………………………………………………………………………………….16 III.2 .The subjects……………………………………………………………… ... V.2.Recommendation…………………………………………………………………… ……30 V.2.1.Selecting and evaluating the texts……………………………………………… ……30 V.2.2 Suggested techniques for integrating short stories and poems in the teaching of reading comprehension skills………………………………………………………… ... Keys for using literary texts in reading classes………………………………….….41 V.3 Conclusion…………………………………………………………………………….… 43 V.4 Limitations of the study…………………………………………………………….……43 V.5 Suggestions for...

Ngày tải lên: 07/11/2012, 14:21

... work out the meaning hidden behind the text So, the more knowledge of the world the readers have the more accurate are their inferences and judgments; and naturally the closer they get to the text ... relevant to the theme of the poem • Listen to the teacher reading a poem in their mother tongue related to the theme While-reading phase: This phase initially helps students catch the glimpse of the ... is the process that the readers, as they read, can not only figure out the “graphic display” of the text but also understand the hidden meaning implied by the writer II.2.2 .The reader and the...

Ngày tải lên: 07/11/2012, 14:21

... look back at the story or the poem to find the information, so we can understand what we read more thoroughly □ Others……………………………………………………………… d Skimming for idioms and expressions in the full sentences ... It is useless, we can look them up in a dictionary □ It is useful, we can learn them in the context, thus we can remember them longer and understand their usage □ Others……………………………………………………………… ... be independent from the text □ Others……………………………………………………………… f The activities I like most in post – reading phase □ creating the end of the poem or short story □ changing the poem into a short...

Ngày tải lên: 07/11/2012, 14:21

... that they can learn new words and remember them longer in the context of a short story 75% students are interested in interpreting the characters of the story or the figurative language in the ... reading Chapter III: Methodology: studies the reason for choosing the research methodology and the description of the setting, subject and instrument for collecting data Chapter IV: Data analysis ...  The reader and the text Links between reading skills and literary skills Efferent reading and aesthetic reading  It is applicable to integrate short stories and poems in the reading class The...

Ngày tải lên: 07/11/2012, 14:21