further topics in calculus

... the determinant of the remaining matrix will be the minor |M11 | = a23 a33 a22 a32 Example 15.12  Find the minor |M31 | of the matrix A = 1  4 Solution The minor |M31 | is the determinant of ... is 4×4) then the determinant |HB | < and the determinant of the naturally ordered principal minor of |HB | > (The naturally ordered principal minor is the matrix remaining when the first row and ... namely: • • • • The Determinant Minors Cofactors The Adjoint Matrix These are explained in the following sections Test Yourself, Exercise 15.4 Identify which of the following sets of simultaneous...

Ngày tải lên: 14/08/2014, 22:20

... smooth except for: • ordinary double points at points of the double locus of X, which are not the Zappatic singularities of X; • further singular points at the Zappatic singularities of X of type ... We will be mainly interested in computing these invariants in terms of the central fibre X For some of them, this is quite simple For instance, when X → ∆ is an embedded degeneration in Pr , for ... a unique Eν -point, and no other Zappatic singularity, the singularities in codimension one being double lines Proof (i) According to Remark 5.1 and Theorem 5.19, X is connected in codimension...

Ngày tải lên: 16/02/2014, 06:20

Ngày tải lên: 05/08/2014, 15:20

... edge in a perfect matching with a domino shows that the perfect matchings on the Aztec diamond graph are in bijective correspondence with the tilings of the Aztec diamond See Figure for a matching ... is the set of all those matchings having weight µ By equating the coefficients of each monomial in the sum, we see that the set of matchings in M(P ) of weight µ is equinumerous with a set of basis ... “Alternating-sign matrices and domino tilings (Part I),” J Algebraic Combin (1992), 111–132 [EKLP2] N Elkies, G Kuperberg, M Larsen, and J Propp, “Alternating-sign matrices and domino tilings (Part...

Ngày tải lên: 07/08/2014, 08:20

... to µ2n ⊆ F × in most literature on covering groups, and consider covering groups G(AF ) for G arising from the BrylinskiDeligne framework and Eisenstein series induced from genuine cuspidal representation ... we note that the constant term of Eisenstein series can be written as global intertwining operators which decompose into local ones These local intertwining operators enjoy the cocycle relation, ... The outcome is the analogous Gindikin-Karpelevich formula for intertwining operators at unramified places The GK formula gives the coefficient in terms of the inducing unramified characters, and...

Ngày tải lên: 09/09/2015, 11:25

... An industrial robot operating in a foundry (http://en.wikipedia.org/wiki /In- 1.1 Background and Problem Definition industrial automation, utilize simple independent joint space strategy using ... x0 yE {2} joint n link OE {E} O2 zE O0 , O1 link x1 link n link y0 y1 joint xE joint Figure 2.1: An open kinematic chain attached to two adjacent joints, i − and i, can then be described by the ... provide an interaction capability of the effector with its environment, such as: to apply static force needed for a manufacturing process (e.g grinding, polishing), part-mating, or dealing with...

Ngày tải lên: 14/09/2015, 08:50

... the scanning array are summed for each pixel in the image map Where there are objects in the image that result in scattering, the individual observations from the antenna pairs will be in phase ... Reconstruction of a point object in the image map where I(x, y) indicates the pixel intensity at location (x, y) of the imaging field, τsnr (k) is the corresponding propagation delay of the sampling data snr ... more ghost images in the image field Algorithm Simulation and Analysis In order to simulate the imaging algorithm, an imaging system is assumed as shown in Figure 4, in which a linear antenna array...

Ngày tải lên: 21/06/2014, 19:20

... function min(ν, l0 ) is defined on Cm by min(ν, l0 )(z) = min{ν(z), l0 } for all z ∈ Cm Remark: Concerning finiteness or degeneracy problems of meromorphic mappings with fixed or moving hyperplanes, ... MEROMORPHIC MAPPINGS HAVING THE SAME INVERSE IMAGES OF MOVING HYPERPLANES9 Proposition 2.3 Let f be a meromorphic mapping of Cm into Pn (C) and let b1 , , bn+1 be moving hyperplanes of Pn (C) in general ... 4MEROMORPHIC MAPPINGS HAVING THE SAME INVERSE IMAGES OF MOVING HYPERPLANES Let F be a nonzero meromorphic function on a domain Ω in Cm For a sequence α = (α1 , , αm ) of nonnegative integers, we...

Ngày tải lên: 14/10/2015, 08:37

... Heparin binding properties of HCII treated with inhibitors of post-translational modifications In order to investigate the in uence of post-translational modifications on heparin binding, recombinant ... however, were not detected in our recombinant glycoprotein We demonstrate that tyrosine sulfation and N-glycans individually affect heparin binding of the inhibitor These findings may be exploited ... containing 10% dialyzed serum, mM L-glutamine and 0.3 mM L-proline, individual colonies were picked and expanded Cell lines expressing increased amounts of HCII were isolated by augmenting the...

Ngày tải lên: 08/03/2014, 22:20

... 2 Extending generalized Fibonacci sequences the numbering often starts with V1 instead of V−r+1 In such a case, all the numberings shift by r The case where the coefficient ... Example 3.4]) In order to analyze this type of phenomena, in Section 3, we introduce the notion of a strongly ∞-GFS, imposing the condition (1.2) not only for n ≥ 1, but for all n ∈ Z In a sense, ... exactly the inverses of the zeros of the power series Q(z) which lie inside the circle of convergence, and mi coincides with the order of the zero λ−1 i Proof of Theorem 3.2 In the following, we...

Ngày tải lên: 22/06/2014, 22:20

... testing module was used for the Carsim simulation The command window of Carsim testing simulation is illustrated in Fig can be divided into sections In the command window, vehicle type and testing ... generation of aligning moment Fig Aligning moment computed from Matlab Simulink and Carsim IV CONCLUSION Modeling of Magic Formula tire model in Matlab Simulink was developed in order to initiate a future ... developed using Matlab Simulink The longitudinal force, lateral force and aligning moment produced during that course maneuver were compared Fig Longitudinal force computed from Matlab Simulink and...

Ngày tải lên: 24/07/2014, 09:44

... problem domain In recent years, a new class of meshfree methods called a linearly conforming point interpolation method (LC-PIM) (Liu and Zhang, 2007) and a linearly conforming radial point interpolation ... possible μ ∈ D based on a single reference domain Ω 2.1.5 Geometric affine mapping To begin geometric affine mapping theory, a physical domain Ω0 is divided into R subdomains, Ω0 = ∪ R=1 Ω0 r such ... of an engineering system by means of numerical simulation Numerical methods thus play an increasingly important role in evaluating outputs of engineering systems Hence, developing indispensable...

Ngày tải lên: 14/09/2015, 14:02

... PDZ proteins: Mint-3, AMPA binding protein and glutamate receptor interacting protein (GRIP) It would therefore be interesting to determine whether this motif is also involved in the interaction ... UK) were maintained in DMEM containing 10% (v/v) fetal bovine serum (Hyclone Laboratories Inc., UT, USA), mm l-glutamine, 100 UÆmL)1 penicillin and 100 lgÆmL)1 streptomycin at 37 °C in 5% CO2 ... Role of GRASP55 in MT1-MMP activation l l l l l l l l l l l l l MINT-7897617, MINT-7897659, MINT-7897681, MINT-7897702, MINT-7897725, MINT7898032, MINT-7898011, MINT-7897907, MINT-7897884: GRASP55...

Ngày tải lên: 18/02/2014, 04:20

... with aging (Eur J Biochem 270) 2299 Western blotting of modified proteins Fig Determination of CML-protein content in liver mitochondrial matrix with aging The CML content in the matrix proteins ... efficiency in relation to damaged protein and/or a decrease in the amount of this protein in the matrix We have not detected any significant modification in the amount of this protein in the matrix ... proteins and their immunological signals increased with aging These findings are consistent with previous reports showing an increase in carbonyl proteins in mitochondria from different tissues...

Ngày tải lên: 20/02/2014, 11:20

... system are compatible in format and semantic representations with existing DELPH - IN tools, including software for grammar development and for applications including machine translation (Oepen ... situated in the field of multilingual grammar engineering, or the practice of developing linguisticallymotivated grammars for multiple languages within a consistent framework Other projects in this ... Carbonell, Robert Frederking, Erik Peterson, and Katharina Probst 2008 Linguistic structure and bilingual informants help induce machine translation of lesser-resourced languages In LREC’08 Miriam Butt,...

Ngày tải lên: 07/03/2014, 22:20

... called singular, or, otherwise, regular The above conditions correspond to a singular exterior point, a singular endpoint, and a singular interior point, respectively In each of the singular ... RANDOM MATRIX ENSEMBLES 639 Using (5.16), (5.17), and (5.18) in (5.26) we will see that the terms containing uα cancel against each other What remains are the terms containing qα : (5.27) bn,N = b ... considered in [2], [6], [7] for certain special cases, and in [9] in general The limiting kernel is built out of ψfunctions associated with the Hastings-McLeod solution [25] of the Painlev´ II...

Ngày tải lên: 15/03/2014, 09:20

... human infection in places where people commonly eat it Interestingly, heparin-binding adhesion proteins were reported to be expressed in adult forms of Strongyloides venezuelensis [28] As Achatina ... defatted using three 24 h extractions with acetone The fat-free, dried snail was cut into very small pieces that were suspended in sodium acetate buffer (pH 5.5) containing 40 mg papain in the presence ... electrophoresis at 100 V for  h in 0.06 M sodium barbital (pH 8.6), the gel was stained with 0.1% toluidine blue in 1% acetic acid After staining, the gel was washed for  h in 1% acetic acid [24] Identification...

Ngày tải lên: 16/03/2014, 16:20

... grand ceremony for his help in defeating the Empire Neo makes a phone call to the machines with a threat that seemingly gives the machine a moment of pause Elements of Distinction Of course, the two ... hero-tale is that these things are useless if the hero doesn't believe in himself In The Matrix, the Oracle tells Neo that he isn't "The One," meaning the guy who's going to save humanity from ... arguably influenced the way an entire generation thinks about morality, ethics, and religion, The Matrix is far more explicit in terms of the kind of worldview it advocates The first thing anyone...

Ngày tải lên: 21/03/2014, 22:51

... Over-expression of dominant-negative caveolin-1 and short hairpin RNA-mediated knockdown of caveolin-1 significantly inhibited infection without affecting the initial internalization [63] In addition, ... the minor capsid protein, L2, are incorporated into a virion, suggesting that it requires the pentameric L1 structure for interaction [25] The observation that L2 can occupy binding sites in adjacent ... surface, indicating that a secreted HSPG must be involved [11] HPV31 was reported to not require HSPG interaction for infection of keratinocytes in vitro, but did interact with COS-7 in an heparan...

Ngày tải lên: 23/03/2014, 04:20

... because they induced distinct patterns of spectral changes [26] Figure 2A shows the difference spectra of U46619 binding to PGIS in solution and in sol–gel In solution, U46619 binding caused a ... line) in solution Right panel, ferric PGIS (thin solid line), ferrous PGIS (dashed line), re-oxidized PGIS (dash-dot-dot line) and oxyferrous PGIS (thick solid line) in sol–gel lated PGIS is involved ... involved in the catalysis, the catalytic rate determined is substantially decreased Binding of O2 to PGIS in the sol–gel monolith We further studied O2 binding to encapsulated PGIS After adding dithionite...

Ngày tải lên: 23/03/2014, 07:20