derivatives and partial derivatives

... following Corollary 1.3 and Exercise 1.1) [Hint: Set α = [x, y] and apply Theorem 1.12 to the functions ϕ and ψ defined as follows: 1 ϕ(z) = x + z − x , z ∈ E, 2 and −tα when z = ty and t ≥ 0, ψ(z) = ... dear friends and former colleagues: Ph Ciarlet and H Berestycki I am very grateful to G Tronel, M Comte, Th Gallouet, S Guerre-Delabrière, O Kavian, S Kichenassamy, and the late Th Lachand-Robert, ... Consequently, f is continuous and f ≤ (α − f (x0 )) r Definition Let A and B be two subsets of E We say that the hyperplane H = [f = α] separates A and B if f (x) ≤ α ∀x ∈ A and f (x) ≥ α ∀x ∈ B We...

Ngày tải lên: 04/02/2014, 11:10

... Polynomials 345 Comments and References 353 Chapter Review 354 Miscellaneous Exercises 354 Definition and Elementary Properties 363 Partial Fractions and Convolutions 369 Partial Differential Equations ... 1.8 and 3.5 and Chapter gives a very applied flavor Chapter reviews solution techniques and theory of ordinary differential equations and boundary value problems Equilibrium forms of the heat and ... Sturm– Liouville problems, and the sequel, Section 3.4; and the more difficult parts of Chapter 5, Sections 5.5–5.10 on Bessel functions and Legendre polynomials On the other hand, inclusion of numerical...

Ngày tải lên: 17/02/2014, 14:20

... as being a function of, say, T and V , we henceforth write ∂S ∂T V to denote the partial derivative of S in T , with V held constant, and ∂S ∂V T to denote the partial derivative of S in V , ... = ∅ (b) absorbing and essentially isothermal if t− (Γ) = ∅, t+ (Γ) = ∅ and T (Y (t)) is constant on t+ (Γ) (c) emitting and essentially isothermal if t+ (Γ) = ∅, t− (Γ) = ∅ and T (Y (t)) is constant ... interpretation of entropy and Chapter VIII concerns the related theory of large deviations Following Varadhan [V] and Rezakhanlou [R], I will explain some connections with entropy, and demonstrate various...

Ngày tải lên: 17/03/2014, 14:29

... 20-mer dsDNA and PsSiR as a competitor, and then the mixture was electrophoresed (Fig 6A) The densities of shifted band signals at two-, five- and 10-fold excess of competitor were 34, 17 and 12%, ... SiR activity and DNA-binding activity We also examined differences in the properties of PsSiR and ZmSiR, such as DNA binding and localization within chloroplasts Results Isolation and molecular ... active site of the enzyme through four cysteine ligands, Cys434, Cys440, Cys479, and Cys483, and that four basic residues, Arg83, Arg153, Lys215, and Lys217, are involved in the substrate coordination...

Ngày tải lên: 30/03/2014, 08:20

... isoforms (5-5, 6-6 and3 -6)showedhighactivitywithbothCDNB(> 300 lmolÆ min)1Æmg)1) and ETHA (> 15 lmolÆmin)1Æmg)1); and the fourth group (isoform 3-3) showed the highest activity with ETHA and an intermediate ... 6-6 presented one single band whereas the heterodimer 3-6 displayed two bands located at 24 and 23 kDa thus confirming the HPLC results (Fig 3) Moreover, isoforms 4-4, 5-5 and 6-6 also gave a positive ... called GST-4 and GST-4c from Anopholes dirus were 149.85 and 18.69Æs)1 for kcat, 172.24 and 62.30 mM)1s)1 for the ratio kcat/Km(GSH) and 713.57 and 186.9 mM)1s)1 for the ratio kcat/Km(CDNB) As regards...

Ngày tải lên: 31/03/2014, 09:20

... ! and Q ! P: C: Enough to check f The result follows from basic facts 1) and 3) Hence we have proved Lemma and part 1) Part 2) follows analogously We now return to the single layer potential and ... of Daivd and Journ 3] Theorem 1.6 T bounded on L2 i T BMO The de nition of BMO and the theorem and its proof will be discussed in Chapter References 1] E M Stein: Singular integral and di erentiability ... the surface measure on @ and @nQ is the directional derivative along the unit outward normal for @ at Q It is immediate that Df (P ) = 0; P Rn n @ and Df will be our candidate for solution of...

Ngày tải lên: 31/03/2014, 15:16

... truncation error monitoring and control, h and p refinement, stability and stiffness, and explicit and implicit algorithms Extensions to stiff systems are also discussed and illustrated through an ... (Hyun Jin) Ordinary and partial differential equation routines in C, C++, Fortran, Java, Maple, and MATLAB / H.J Lee and W.E Schiesser p cm Includes bibliographical references and index ISBN 1-58488-423-1 ... Ordinary and Partial Differential Equation Routines in C, C++, Fortran, Java®, Maple®, and MATLAB® H.J Lee and W.E Schiesser CHAPMAN & HALL/CRC A CRC Press...

Ngày tải lên: 08/04/2014, 10:27

... (magnitude; standard deviations and coefficient of variations) and nonlinear (structure; Lyapunov exponents) measures [37] It was hypothesized that increased levels of BWS would decrease both linear and ... analysis and manuscript preparation MJK was involved with data collection and manuscript preparation JLE was involved in subject recruiting and data collection NS supervised the design and coordination ... variability of step length, step width, and stance time is increased in elders when compared to young subjects, or proportionally between fallers and both non-fallers and young subjects [5-10] These...

Ngày tải lên: 19/06/2014, 08:20

... Finland, June 2000 [26] A Papoulis and S U Pillai, Probability, Random Variables and Stochastic Processes, McGraw-Hill, New York, NY, USA, 4th edition, 2002 [27] G Xue, J F Weng, T Le-Ngoc, and ... PF) bandwidth ΔF and resonance frequency ω0 are defined in the following manner + + Output − Figure 2: Principal block diagram model of the GR and noise can be appeared at the PF output and the ... between the AF and PF resonant frequencies is more than ÷ 5Δ fa , where Δ fa is the signal bandwidth, the processes forming at the AF and PF outputs can be considered as independent and uncorrelated...

Ngày tải lên: 21/06/2014, 05:20

... Tulino and S Verdu, Random Matrix Theory and Wireless Communications, Now Publishers, Hanover, USA [32] M Abramowitz and I A Stegun, Handbook of Mathematical Functions with Formulas, Graphs, and ... of Tx and Rx antennas, L can be evaluated for different values of ρ and K beforehand and stored in a lookup table to be used later λ(k) ⎠ m M n=1 m=1 h(k) n,m (19) which is a chi-square random ... See [12] and references therein for further details (2) User scheduling and precoder selection from a codebook of vectors/matrices known a priori to both the BS and the users based on partial...

Ngày tải lên: 21/06/2014, 17:20

... Object Tracking in Clutter and Partial Occlusion 843 where (x, y) parameterize the curve as Vi = [xi , yi ] and the first and second derivatives of (x, y) denote the velocity and ˙ ˙ the acceleration ... robust motion estimation technique proposed by Black and Anandan [31], between the successive frames I − and I Object Tracking in Clutter and Partial Occlusion 847 Based on the definition of the ... (V) and Emodel (V) are given by (3) and (7), respectively, CU(C(I) ) and DV (C(I) ) are the curvature and the (k) (k) point density values of the contour C(I) at the kth point Parameters w1 and...

Ngày tải lên: 23/06/2014, 01:20

... is partially well-ordered if and only if p ∈ {1, 12, 21, 132, 213, 231, 312} We will rely heavily on the result of Higman [8] that the set of finite words over a partially well-ordered set is partially ... with notation If M is an m × n matrix and (i, j) ∈ [m] × [n], we denote by Mi,j the entry of M in row i and column j For I ⊆ [m] and J ⊆ [n], we let MI×J stand for the submatrix (Mi,j )i∈I,j∈J ... here.) We write Q ≤ P when P contains a Q pattern and Q ≤ P otherwise If q and p are permutations then q ≤ p if and only if Mq ≤ Mp F˝ redi and Hajnal studied this ordering for 0/1 matrices...

Ngày tải lên: 07/08/2014, 07:21

... graph or a partial tournament of order n Given a partial tournament T and a sequence of nonnegative integers r1 , r2 , , rn , it is possible to use Rado’s theorem to establish necessary and sufficient ... p ri ≥ i=1 A simple calculation shows that n n−p − − p(n − p) = 2 p , and Landau’s theorem follows from (8) Completions of partial tournaments Let G ⊆ Kn be a graph on n vertices A digraph obtained ... , , rn if and only if there exists P1 , P2 , , Pn , with Pi ⊆ Ai and |Pi | = ri (1 ≤ i ≤ n), such that P = P1 ∪ P2 ∪ · · · ∪ Pn is an independent set of M, equivalently, if and only if the...

Ngày tải lên: 07/08/2014, 21:21

... 121 and 112 are partial- matching equivalent, while 1213 and 1123 are not equivalent Partial matchings and fillings of diagrams There is a very close relationship between canonical sequences and ... between σ ′ -avoiding and τ ′ -avoiding matchings Since σ and τ are assumed to be partial- matching equivalent, there is a bijection f between σ-avoiding and τ -avoiding partial matchings that ... partition-equivalent patterns are partial- matching equivalent, and partial- matching equivalent patterns are equivalent There exist pairs of patterns (e.g., 123134 and 123413) that are partial- matching equivalent...

Ngày tải lên: 08/08/2014, 12:23

... XVI, Crawley, UK) For imaging the head -and- neck and brain tumor patients, we used the following parameters: 100 kVp, S20 collimator and F0 filter, total 65 mAs and a high-resolution reconstruction ... tumor and some normal structures of the three patients in the planning CT data sets and the first CBCT data sets The differences of the dose to tumor and some normal tissues were within 1% and ... head -and- neck cases included two natural killer/T-cell (NK/T) lymphoma cases and one nasopharyngeal carcinoma (NPC) case For all patients, conventional CT was acquired with slice thickness of mm and...

Ngày tải lên: 09/08/2014, 08:23

... liners, mosquito IFA, PCR, and virus isolation assays, and phylogenetic analyses ECM conducted LACV NSs and NSm amplifications from SI+ and I+ mosquitoes and analyzed NT and AA variability in the ... consistent and significant trend was detected by Fu and Li's F* analysis of singleton versus shared mutations (Figure 8a) and in direct comparison of I+ and SI+ mosquitoes (Figure 8b) S and L segments ... between LACV SI+ and previously published isolates and between LACV NSm sequences from I+ and SI+ mosquitoes LACV NSm nucleotide and amino acid differences between LACV SI+ and I+ mosquitoes...

Ngày tải lên: 12/08/2014, 04:20

... [25]) and its ruminant (12 kb in caprine [15] and 20 kb in bovine [23]) counterparts In humans this A horse S1-casein cDNA and casein locus genomic organisation 517 Figure Relative position and ... closer to that of human milk (Miranda et al., unpublished) It has been studied for its potential nutritional properties and its effects on human health This milk and koumiss, a product of its fermentation, ... equine S1-Cn cDNA sequence and the comparison with its counterpart from different species as well as the partial casein locus organisation in the horse A horse S1-casein cDNA and casein locus genomic...

Ngày tải lên: 14/08/2014, 13:21

... 1987) and are divergently transcribed (Boer and Hickey, 1986) A simplified map of this locus is presented in Fig The number and pattern of electrophoretic variants within each species and in ... equipment The se- quences were assembled and (Beckman) computer analysed using a sonic digitizer (Queen and Korn, 1984) and the Microgenie programs RESULTS AND DISCUSSION For both amylase gene copies ... MATERIAL AND METHODS The D erecta strain 220S, collected in 1980 in the Ivory Coast, West Africa, and provided by Dr J David, was used in the present study Twelve flies of that strain were sampled and...

Ngày tải lên: 14/08/2014, 20:20

... Results and Discussions…………………………………………… 46 CHAPTER 4: PARTIAL DISCHARGE DETECTION AND SOURCE IDENTIFICATION IN GIS …………………………………… 53 4.1 PARTIAL DISCHARGE MONITORING FOR GIS……………………… 54 4.1.1 Partial ... Zhenyu, and many other friends who have encouraged me and helped me in one way or another Finally, I would like to take this opportunity to thank my parents and sister, for their love, patience, and ... OPTIMIZATION AND PARTIAL DISCHARGE MONITORING FOR CONDITION BASED MAINTENANCE OF SUBSTATIONS ZHOU RONGCHANG (B ENG) A THESIS SUBMITTED FOR THE DEGREE OF MASTER OF ENGINEERING DEPARTMENT OF ELECTRICAL AND...

Ngày tải lên: 08/11/2015, 16:18

... substances such as CO2 and H2O under moderate conditions Research efforts in photocatalysis have dramatically expanded since the discovery of the photocatalytic properties of TiO2 and the demonstration ... light electrons are promoted from the valance band to the conduction band of the semi-conducting oxide to give electron-hole pairs The valance band hole (h+vb) potential is positive enough to ... ml and a conic shape in the lower part of its body The UV lamp (22cm body length and 16cm arc length) was a mercury 400 W (200-550nm) lamp The UV lamp was positioned inside a quartz tube and...

Ngày tải lên: 05/09/2013, 17:03