interlude for math junkies rest of the proof

... demonstrate the basics of the proposed algorithm, the dependency of the simulation results on the quality of the initial approximation, and the perturbation approach for calculation of analytical ... Comparison of results for the double pendulum (cont’d) compared by the ratio between the pseudo volume (product of the interval diameters of all components of a state vector) of VNODE and the pseudo ... techniques for range calculation In contrast to the VAL E NC IA-IVP solver, VNODE is based on a two stage approach First, a proof of existence and uniqueness of the solution of the IVP is performed...

Ngày tải lên: 12/01/2014, 22:04

... pending in the High Court of Delhi will be taken up Ld Members of the Bar and the litigants who want their matters to be taken up in the Lok Adalat,may give the details of their cases to the Delhi ... PAGINATE THEIR FILES IN CONFORMITY WITH THE COURT FILE,IN ADVANCE NOTE: COUNSELS ARE REQUESTED TO SUPPLY THE PHOTOCOPY OF JUDGEMENTS THEY WISH TO RELY UPON.] CASES OF PERSONS ABOVE 65 YRS OF AGE ... STATE OF THE NCT OF DELHI ( Regular Matters) SUMER KUMAR SETHI (DHCLSC) FOR 11.2.2013 11 P.S.-FIR No :(SANGAM VIHAR-615/2007) CRL.A 539/2011 | PAWAN KUMAR [5-5-20] | Vs STATE OF THE NCT OF DELHI...

Ngày tải lên: 06/03/2014, 23:20

... which is the array of weights used to combine the pixels from the long and the short image In the case of these combined images the error (ERR) array contains the standard deviations of the weighted ... intentionally overexpose the core of the Balmer lines from the central star in the long exposure in order to obtain greater signal in the wings of the lines and the fainter parts of the surrounding nebula ... Users Manual These values roughly correspond to the average noise computed from the pixel values in the unexposed portions of the CCD However, users should be aware of the origin of these values...

Ngày tải lên: 07/03/2014, 14:20

... from the administered [75Se]Der p2, indicate together with its own remaining intact levels (the 16 kDa band) that the clearance and further metabolism of the allergen was altered as a result of the ... Th2-type of T-cell response to the sensitizing allergen Although the relevance of experimental mouse models as a description for human allergic disease may be questioned, they offer excellent tools for ... airways of Der p 2-sensitized and nonsensitized mice The fate of the allergen could be followed in vivo both at the whole-body level and at the molecular level, through the application of a newly...

Ngày tải lên: 07/03/2014, 21:20

... taking their jackets and shoes in their hand, stole out of the door at their end of the room, and closed it behind them They then crept downstairs to the room where their caps were kept, put on these ... because I am not aware whether the wild animals upon the common are the property of the lord of the manor, or whether they are at the mercy of vagabonds It appears to me that there can be no proper ... us walk the other side of the road." They crossed to the left, as they got abreast of the cart A man, whom they had not noticed before, said sharply: "You are about early." "Yes, we are off to...

Ngày tải lên: 17/03/2014, 23:20

... banks and of the value of focusing regulation on the nature of the activities being undertaken The Rules have clarified the prudential expectations of the BOG Better understanding of the requirements ... provide 20% of their “Common Funds” for micro and small enterprises at an interest rate of 75% of the commercial bank rate Furthermore, the Government in 2001 has pegged the interest rate for loans ... operational performance and profitability In 2001, concerns about the health of the majority of the S&Ls and severe undercapitalization of the NBFIs, and perhaps about the rising number of applications...

Ngày tải lên: 22/03/2014, 21:20

... flexion deformity of the hip of 40 degrees and further flexion and rotations were painful X-ray showed lytic lesion of the ilium and centimetre proximal migration of the femoral head into the infected ... given the option of Figure CT scan showing destruction of the hip with superior migration of the femoral head into the iliac bone affected by the hydatid disease Neelapala et al Journal of Orthopaedic ... Albendazole necessitated surgical intervention in the form of right total hip replacement which lasted for 80 months Due to the recurrence of the Hydatid cyst the acetabular component became loose and...

Ngày tải lên: 20/06/2014, 04:20

... due to the energy transfer from compound to NBD, the fluorescence intensity of the latter notably increases (Figure 3) The effect is stronger for the membrane of 12 to 14 KDa The percentage of energy ... participated in the draft of the manuscript LAVS was responsible for the antitumoral evaluation of the compound EP supervised the studies of biological activity All authors read and approved the final ... h), the occurrence of energy transfer (FRET) from compound to NBD, detected in the solution located at the right side, is a proof of compound diffusion from the donor liposomes, passing across the...

Ngày tải lên: 21/06/2014, 01:20

... see that the lower the noise level δ is, the better the approximate effect is; the closer to the boundary x the location is, the better the approximate effect is These accord with the theory in ... the one in 2.7 The reason for using ξ2 k2 u instead of u in the definition of U x is that with this choice, the matrix A is normal and hence diagonalized by a unitary matrix The eigenvalues of ... estimate for the proposed method can be found in Section The implementation of the numerical method is explained Regularization and Error Estimate First, let u be the Fourier transform of u: u...

Ngày tải lên: 21/06/2014, 16:20

... fulfills the conditions of Theorem 2.3, so the Ω inequality 3.3 follows from the inequality 2.1 by taking v x 1/ λw1 x 1/λ w2 x The proof is complete The following corollary of the above theorem ... Our method of proof is different from the other proofs e.g., those by Larsson et al presented in the book and the basic idea is to first prove a more general multiplicative inequality for inner ... , and the proof is complete Multiplicative inequalities for matrices Let n ∈ N and X be the vector space of n × n complex matrices We denote by tr A the trace of the matrix A and by A∗ the Hermitian...

Ngày tải lên: 22/06/2014, 03:20

... ,N } gives the complete set of eigenvalues of the problem (1.3) The proof is complete Theorem 2.9 Assume the hypotheses of (H1)-(H2) hold Let j be the number of positive elements in the set {a1 ... (2.11) The proof is complete Lemma 2.3 The eigenvalues of the problem (1.3) are related to those of the matrix D−1/2 AD−1/2 as follows (a) If λ is an eigenvalue of the problem (1.3), then 1/λ ... eigenvalues only The purpose of this paper is to establish the existence and comparison theorems for all the eigenvalues of the problems (1.3) and (1.4) We will also prove the existence of positive...

Ngày tải lên: 22/06/2014, 22:20

... Therefore, the ball B(R) is contained in the domain of attraction of Da (0) c Theorem 3.7 Let be p ≥ For any c ∈ (0,(p + 1)R2 ], the set N p is included in the domain of attraction Da (0) c Proof ... m−2 k =0 therefore the domain of convergence of the series (1.6) is D0 = (−1,1) ⊂ Da (0) More, V (x) → ∞ as x → and V (−1) < ∞ The radius of convergence of the power series expansion of V in −1 ... the followings, we will shortly present the procedure of determination and approximation of the domain of attraction using the function V presented in [2, 3] The region of convergence D0 of the...

Ngày tải lên: 23/06/2014, 00:20

... the result is more general, our proof of Theorem 2.4 relies essentially upon the D´nes-Hermann theorem In §7, we discuss prospects of a further e generalization Theorem 2.4 If P (Q) ⊆ xQ′ , then ... these results will be used directly in our proof, we hope they are of some interest in that they may suggest an alternative proof of the D´nes-Hermann e theorem Lemma 7.1 Set P ω := (i) P ω ∞ i=1 ... detailed in §2, we prove a number of related results including a generalization of the D´nes-Hermann e theorem and provide an elementary proof of a weak form of the Hall-Paige conjecture We begin...

Ngày tải lên: 07/08/2014, 21:21

... Janet Beissinger, who was the first to explore [1] combinatorial proofs using colored permutations, for their assistance References [1] Janet Beissinger Colorful proofs of generating function identities ... 49 of Cambridge Studies in Advanced Mathematics Cambridge University Press, Cambridge, 1997 With a foreword by Gian-Carlo Rota, Corrected reprint of the 1986 original the electronic journal of ... follows for (π, f ) ∈ Sn,A : If R(π,f ) = ∅, let φ((π, f )) = (π, f ) Otherwise, let (i, j) ∈ R(π,f ) be minimal under the lexicographic ordering of R(π,f ) Let π = (i, j) ◦ π, the product of the...

Ngày tải lên: 08/08/2014, 01:20

... consisting of |L| line segments such that the ith segment si has the same slope as the ith line of L Since we sorted the lines in L by their slopes, C is a (weakly) convex chain Set the length of each ... loss of generality we may assume that all lines of L have different non-infinite slopes As before we sort the lines in L in the increasing order by their slopes For the second issue, we apply the ... mapped to the convex parabola y = εx2 + x + bi By scaling the whole configuration, we may assume that the x-coordinates of all points of P are properly between and Then, the gradient of the ith...

Ngày tải lên: 08/08/2014, 11:20

... alone is inadequate for detection of extension of the tumor Therefore, MRI was routinely used for identification of the tumor, after fusing it with the planning CT Determination of gross target volume ... Radiotherapy Doses of carbon ions were expressed in photon equivalent doses (GyE), which were defined as the physical doses multiplied by the RBE of the carbon ions The biological flatness of the ... parotidectomy +/- postoperative radiotherapy was planned CT revealed that the clinical stage was T3N1M0 (stage III) The diameter of the primary tumor was 54 mm and the diameter of the right upper cervical...

Ngày tải lên: 09/08/2014, 09:20

... 73% for surgery and radiotherapy, 68% for surgery only, 35% for radiotherapy only, and 26% for neither surgery nor radiotherapy There was a significant difference in overall survival between the ... model The Role of Chemotherapy The SEER database did not include information for those treated with chemotherapy, however recent reports of outcomes for ONB patients have included chemotherapy ... Additionally, the time period for the SEER database, 1973-2006, includes a time period before the beginning of the modern age of skull base surgery (1985-1990) A stratification of patient survival...

Ngày tải lên: 09/08/2014, 09:20

... Reviewed charts, gathered data, and drafted the manuscript M.G.H.: Aided in the design of the study, helped draft the manuscript D.W.L.: Aided in the design of the study, helped draft the manuscript ... the growing body of data supporting the use of IMRT with SIB for anal cancer Regional control was excellent, despite the common use of low doses per fraction Limitations of our data include the ... Concomitant radiotherapy and chemotherapy is superior to radiotherapy alone in the treatment of locally advanced anal cancer: results of a phase III randomized trial of the European Organization for Research...

Ngày tải lên: 09/08/2014, 09:21

... recommended where the risk of subclinical disease is less than 20%, because of the morbidity of radiotherapy The results of the present study demonstrate that the failure rate in the opposite neck ... contributions LC designed the study and drafted the manuscript MM participated in the design of the study and performed the statistical analysis ML treated some of the patients included in the study and ... resection margin in the other The objective of adding concurrent chemotherapy in these patients was to increase the loco-regional control probability As the recommendations for postoperative chemoradiation...

Ngày tải lên: 09/08/2014, 10:20