... Lagrangian , and the fact that the field xµ (τ, σ) is defined on the finite strip σ π , and −∞ < τ < ∞, which has boundaries The classical equations of the motion and the boundaryconditions for ... ∂L + ∂i ∂xµ,1 ∂L ∂xµ,1i , (16) and the following boundaryconditions where and Cµ (τ, σ) = ∂l ∂xµ,11 (17) In the case of the closed string δµ (τ, σ) obey the conditions δµµ (τ, σ = 0) = δµ (τ, ... δxµ = ǫµ = const (18) ∂L ∂xµ = and δS = with the conditions xµ (τ, σ) obeys Assume the Lagrangian is invariant, the equations of motion (13), andconditions (14) and (15) From (9) we have π Pµ...
... equations and their relation with boundaryvalue problems, we refer to the book of Corduneanu 22 and Agarwal and O’Regan 23 On the other hand, boundary- value problems with integral boundaryconditions ... approach, Webb et al 45 considered the widely studied boundaryconditions corresponding to clamped and hinged ends and many nonlocal boundaryconditionsand established excellent existence results for ... , 0, ∞ and may be singular at t or t 1; f, g : 0, × P \ {θ} × 0; , bi , ci , and P \ {θ} → P are continuous and may be singular at t 0, 1, u 0, and u di ∈ 0, ∞ , and ρi ci di bi ci > 0, and mi...
... sandy as a result of high fluvial sediment input during flood periods which nourish the mainland beaches and sandy barriers that form across estuary mouths and tidal inlets Mainland beaches and ... with a radial loader and coal is unloaded with a pneumatic unloader Boundaryconditions To get insight in the environmental boundary conditions, field data is collected and analysed thoroughly ... 111 Figure 80: sand spit and land reclamation – coastal port 112 Figure 81: cross-section of sand spit 112 Figure 82: erosion profile for sandy beaches ...
... flow-through and dead-end modes, the boundaryconditions of the channel transport model are the fluxes exchanged between the channel and the GDLs as in well as the channel inlet conditions ( ... of Energy and Environment (IJEE), Volume 1, Issue 1, 2010, pp.1-20 the proton transport from the anode to the cathode, and which acts in addition to the usual convection and diffusion And fourth, ... (kg⋅m-1⋅s-1), P is the pressure (Pa) denoted Pan at the anode and Pcath at the cathode, and Lm is the membrane thickness (m) The boundaryconditions for (1) are the water content at both membrane/GDL...
... 2000) Brands are the basis for long-term success for numerous firms and organisations (See also Rein et al 198726) Building strong brands requires clear brand identity and brand position, and also ... brand as reflected by the brand associations held in consumers´ memory (Keller 1998) Figure 2.10 gives an overview of the relations between brand identity, brand position and brand image Brand ... surroundings of places The study also analyses functionaland strategic differences of private firms and places related to the marketing practices This study gives understanding to the issue how...
... associations between lower extremity and spine and back injuries and mobility problems, and injuries to the head and neck and cognitive Langley et al Health and Quality of Life Outcomes 2011, 9:68 ... Zealand - Auckland, Manukau City, Gisborne, Otago, and Southland Each month, potential participants were selected from new ACC claimants ACC then sent, on our behalf, a letter of invitation and ... Zealand Section of Epidemiology & Biostatistics, School of Population Health, Faculty of Medical and Health Sciences, University of Auckland, 261 Morrin Road, Glen Innes, Auckland 1072, New Zealand...
... nonlinear boundaryconditions see [26–30], for elliptic systems with nonlinear boundaryconditions see [31, 32], for the p-Laplacian with nonlinear boundaryconditions of different type see [33–37], and ... problems is the article by Chipot and Rodrigues [7] They studied nonlocal boundary value problems and unilateral problems with several applications And now the study of nonlocal elliptic problem ... value problems have been studied by Dai and Hao [24], and much weaker conditions have been given by Fan [25] The elliptic problems with nonlinear boundaryconditions have attracted expensive interest...
... ds The critical points of functionals correspond to the weak solutions of problems In Li and Zhang et al , the authors study the existence and multiple solutions of p1 and p2 using the critical ... if n > p, and p∗ 1.2 ∞ if n 1, 2, , p f2 ∃ sequence {ai } and {bi }, where , bi ∈ R, i 1, 2, , which satisfy > 0, bi < ∞, bi −∞ as i → ∞ And at the same time {ai }, {bi } satisfy and f x, ... Robin boundary value condition, and ϕ1 , ϕ2 are the first and the second eigenfunction, respectively Then we have the following Corollary 1.4 Assume that f is satisfied as in Theorem 1.3 and (F...
... Poisson difference equations in a rectangle with boundaryconditions of various types are stated Chung and Yau 13 study discrete Green’s functions and their relationship with discrete Laplace equations ... problems with nonlocal boundaryconditions NBC in this form, where i κm , u : κi , ui , m 0, 1, is a classical part and ßm , u : ßm , ui , m 0, 1, is a nonlocal m part of boundaryconditions 0, then ... 156, pp 1–8, 2007 ˇ A Stikonas and S Roman, “Stationary problems with two additional conditionsand formulae for Green’s functions,” Numerical Functional Analysis and Optimization, vol 30, no 9-10,...
... ≥ , and m % ∑ u ( t, x ) − u ( t, x ) i i r dx , i =1 (u (t, x ) , v (t, x )) and j =1 are the solutions of drive-response systems (1) and (4) satisfying boundaryconditionsand initial conditions ... smooth boundary ∂Ω and T ; u = ( u1 , u2 , , um ) ∈ m T , v = ( v1 , v2 , , ) ∈ n , ui ( t , x ) and v j ( t , x ) represent the states of the ith neurons and the jth neurons at time t and in ... reaction–diffusion terms and the Neumann boundaryconditions WeiYuan Zhang*1,2 and JunMin Li1 School of Science, Xidian University, Shaan Xi Xi’an 710071, P.R China Institute of Maths and Applied Mathematics,...
... b(α) ∈ C (N) and b (α) = From Lemma 2.3, (C1)–(C2), we conclude that u b(α),α = −a b(α) u b(α),α − f u b(α),α < (2.41) R Ma and Y An 295 This together with B b(α),α = (2.42) and (C3) and (2.19) ... J1 , and b (α) < in J2 Meanwhile lim b(α) < +∞, + α→ j lim b(α) < +∞ − α→ j (2.49) It follows that j0 = and j3 = +∞, and accordingly N = (0, j1 ) ∪ ( j2 , ∞) with b (α) > in (0, j1 ), and b ... R Dunninger and H Y Wang, Multiplicity of positive solutions for a nonlinear differential equation with nonlinear boundary conditions, Ann Polon Math 69 (1998), no 2, 155–165 L Erbe and M Tang,...
... shown) Limitations and strengths of our study should be considered We relied upon Medicare claims to determine the presence of autoimmune conditions To reduce the Anderson and Engels Journal ... PS, Anderson WF: Hairy cell leukemia: a heterogeneous disease? Br J Haematol 2008, 142(1):45-51 doi:10.1186/1756-8722-3-35 Cite this article as: Anderson and Engels: Autoimmune conditionsand ... autoimmune conditions The rarity of this NHL subtype presents a challenge for systematic epidemiologic study, and prior reports have mostly consisted of small case series or case reports Although our study...
... parameter is studied as different aspect ratios andboundaryconditions supports Experimental study The experimental study of composite materials included study of mechanical properties of different ... frequency And, Tables and shows the natural frequency of plate samples studied with experimental investigation with various volume fraction of resin and reinforcement and different boundaryconditions ... parameters andboundary condition The machine and other parts used in the vibration structure rig are shows in Figure 13 (a, b, c, d, e) The fixed plate sample and accelerometer part and make...
... collected and treated with cycloheximide and aphidicoline to study the temporal gene expression and to classify them into different-stage viral genes such as Immediate Early, Early 11 and Late ... digestion; and to study protein folding, protein-ligand complex formation and macromolecular structure determination (http://www.astbury.leeds.ac.uk/facil/MStut/mstutorial.htm) 17 Tandem mass ... appendix) and overlaid with 30%, 40%, 50% and 60% (m/v) sucrose gradients and centrifuged at 210,000 × g for another h at 4°C Viral bands, present in 50% sucrose, were aspirated, sonicated briefly, and...
... structure and symmetry of the virion and nucleocapsids can be generated 125 References Anderson, N.L., and Anderson, N.G 1998 Proteome and proteomics: new technologies, new concepts and new words ... genomics and proteomics More future investigations are needed for the functional elucidation and structure determination of SGIV genes/proteins 5.2 Future experiments 5.2.1 Functionalstudy of ... Hansen, W.W., and Packart, M., 1946 Nuclear Induction Phys Rev 69, 127150 Branden C, Tooze J 1999 Introduction to Protein Structure Garland Publishing, New York, p 251-281 Branden, C., and Tooze,...
... helping us to understand cell biology, molecular biology, genetics, and protein structure and formation On the other hand, from the clinical point of view, a basic understanding of the biology ... blood islands derived from ventral mesoderm, and produces primitive erythrocytes, macrophages and rare megakaryocytes (Palis and Yoder, 2001; Xu et al., 2001; Medvinsky et al., 1993; Moore and Metcalf, ... genes required for heme and globin synthesis (α and β embryonic globins, alas2, fch, urod), iron utilization (dmt1) and membrane stability (β-spectrin, protein 4.1r, band3), and mature into flattened...
... Prostate gland and prostate cancer 1.1.1 The anatomy of the prostate gland 1.1.2 Functions of the prostate gland 1.1.3 Epidemiology of prostate cancer 1.1.4 Histopathology of the prostate gland Normal ... the Prostate Gland 1.1.4.1 Normal histology of the prostate Columnar secretory cells line the ducts and acini of the prostate gland These ducts and acini are regularly spaced and are smaller ... Ping and Ms Sen Yin Ping – it has really been enjoyable learning and working together! My heartfelt gratitude also to Mdm Ang Lye Geck, Carolyne and Ms Bay Song Lin for your kind administrative and...
... departments for their support and understanding in order for me to have time to complete my study Dr Lee Ser Yee 2011 ii Title: RETROSPECTIVE STUDY OF THE MORPHOLOGICAL ANDFUNCTIONAL ALTERATIONS OF ... Angiogenesis and 27 32 32 iii Table of Contents b HEV and its markers c HEV‟s role in immunology and cancer Page 33 33 Aim and Hypothesis of the Study 36 10 Patients, Materials and Methods 37 ... studied and developed Due to various techniques and the lack of standardization, in 1988, the Committee for Head and Neck Surgery and Oncology of the American Academy of Otolaryngology-Head and Neck...
... Clinical Practice and the study protocol was approved by a local Institutional Review Board Each study participant provided informed consent prior to study enrollment For this pilot study, data from ... V+ and V- groups and between groups with and without visual motion sensitivity were performed using the Wilcoxon rank sum test Results Fourteen persons were identified as possible study candidates ... anxiety) MSS and SUDs, recorded approximately every minutes during and after exposure On each day of testing, subjects were exposed to three different pain conditions presented in random order...