peirce decompositions and jordan matrix algebras

... 15 P C Hansen and S H Jensen 13 where Γ and Δ are p × p and diagonal, and Io is the identity matrix of order n − p Moreover, UH ∈ Rm×n and UR ∈ R p× p have orthonormal columns, and X ∈ Rn×n is ... is the smallest angle between any two vectors v and vL orthogonal to w1 and wL,1 in Vk and VL,k , and it is attained for v = w2 and vL = wL,2 , and so forth Hence, canonical vectors associated ... of Wk and WL,k in (89) Thick blue lines are SVD canonical filters; thin red lines are ULV canonical filters decompositions) and rank-revealing matrix decompositions (ULV, URV, VSV, ULLV, and ULLIV)...

Ngày tải lên: 22/06/2014, 19:20

... have missed and cannot and will not return to the cave Plenty of similar references are sprinkled throughout the film, particularly during Morpheus's lectures on the nature of the Matrix and of reality ... own ancestors Star Wars is decidedly less complex, and doesn't bother to give us much back-story; the Rebels are good and the Empire's bad, and that's just the way it is Also, while Star Wars ... 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 says to Neo in The Matrix is in a message that...

Ngày tải lên: 21/03/2014, 22:51

... ⊆ G sets of objects, and B1 ; B2 ⊆ M sets of attributes Then the following holds: ′ ′ (1) A1 ⊆ A2 ⇒ A′ ⊆ A′ and B1 ⊆ B2 ⇒ B2 ⊆ B1 (2) A ⊆ A′′ and B ⊆ B ′′ (3) A′ = A′′′ and B ′ = B ′′′ (4) ... contexts We call K and K ′ isomorphic, and write K ∼ K ′ , if there exists two bijections ϕ : G → G′ and ρ : M → M ′ such that (g; m) ∈ = R ⇔ (ϕ(g); ρ(m)) ∈ R′ for all g ∈ G and m ∈ M Theorem ... , gk } and M = {m1 , , mℓ} The adjacency matrix X = (aij )ℓ×k of a context K := (G; M ; R) is defined by aij = if (gj ; mi) ∈ I and aij = otherwise We denote by XK the adjacency matrix of...

Ngày tải lên: 28/03/2014, 13:20

Ngày tải lên: 31/03/2014, 15:03

... Matrix world To understand what is wrong with living in the Matrix world we have to understand the source of the power of the Matrix illusion Part of the power comes from the way the inputs and ... work Simulacra and Simulation both influences and appears in The Matrix See my essay, "Baudrillard and The Matrix. " Here’s an interesting question: which is better, the Second Matrix, or a systematically ... who live in the Matrix have no other source of experience than what happens in the Matrix Thus, a person in the Matrix has no beliefs at all about his vat-enclosed body and brain and couldn’t have...

Ngày tải lên: 18/04/2014, 15:27

Ngày tải lên: 24/04/2014, 17:21

Ngày tải lên: 12/06/2014, 16:12

... amplitudes and and phases 0◦ and 90◦ that go from samples to 50, and 50 to 100, respectively To the signal formed by the sum of these components, a “DC component” is added starting at sample 50 and ... ne ) (see (1) and (7)) Note that the algorithm m m delivers discrete values for the atom parameters ns , ne , and m m ξm , while the remaining parameters of the atom ρm and φm and the atom amplitude ... may span up to hundreds of thousands of Hz, although the measurement system (and the power line) usually filters components above few thousands of Hz (iii) Swells and Sags are increments or decrements,...

Ngày tải lên: 22/06/2014, 23:20

Ngày tải lên: 05/08/2014, 10:20

Ngày tải lên: 05/08/2014, 15:20

Ngày tải lên: 05/08/2014, 15:21

... relationship between Catalan numbers and random matrix theory appeared first in Wigner’s 1955 paper [6] In computing asymptotics of traces of powers of certain random (symmetric, hermitian) matrices, ... of computing mk for certain types of random symmetric matrix models In some cases, mk might not even exist, but in the cases of the Gaussian and Wishart matrix models, it does For the Gaussian ... time-steps, and left only on odd time-steps In turn, these are in one-to-one correspondence with the alternating Motzkin paths The connection between Dyck paths, alternating Motzkin paths, and random matrix...

Ngày tải lên: 07/08/2014, 08:20

... consider some i, and note that a chain e is in ∂Σi if and only if there exist two maximal chains eold and enew , each containing e as a subchain, such that eold is a chain in X ∪ ( i−1 Σj ) and enew ... encouragement, input, and patience of Ed Swartz Thanks also to the anonymous referee for numerous helpful suggestions References [1] Anders Bj¨rner The homology and shellability of matroids and geometric ... senior thesis, 2005 [6] Patricia Hersh and Ed Swartz Coloring complexes and arrangements J Algebraic Combin., 27(2):205–214, 2008 [7] Takayuki Hibi Level rings and algebras with straightening laws...

Ngày tải lên: 08/08/2014, 12:23

... ML, Sandy JD, Anderson DK, Howland DR: Intact aggrecan and fragments generated by both aggrecanse and metalloproteinase-like activities are present in the developing and adult rat spinal cord and ... embryos [67] and in normal bovine and human chondrocytes and synoviocytes, and the levels of expression are elevated in human OA synovium [68] TIMP-3 expression in cultured chondrocytes, and synovial ... [28] and 18 ADAMTS genes known in humans [29] 95 Arthritis Research & Therapy Vol No Nagase and Kashiwagi Figure Domain arrangements of ADAMTS, ADAMs and MMPs N-linked glycosylation sites (᭛) and...

Ngày tải lên: 09/08/2014, 01:21

... planning and use of a rapid prototyped template to reconstruct the mandible with a fibula graft These researchers presented favorable results concerning precision and outcome [3,4] Compared to the mandible, ... amount of bone and the demands on the reconstruction, which will result in a safer operation, shorter operation time and a more predictable result We also use the models to explain and discuss the ... which defined the graft length and angle of junction patients, providing them with a better understanding of the process and its possible outcomes Virtual planning and the use of rapid prototyping...

Ngày tải lên: 11/08/2014, 20:20

... immunoassays SJ and KW participated in the design of the study and performed the statistical analysis UJ, JK and CF conceived of the study, and participated in its design and coordination and helped ... day five The collagen matrix appears porose and knotty (Fig 6a and 6b) Page of Figure Collagen matrix, azan staining (100×): representative central area of pure collagen matrix With immuno-gold-labelling ... for a routine use are a difficult handling of the liquid application form, its short half-life and susceptibility to light and temperature Bone graft substitutes and collagen Some of the common...

Ngày tải lên: 11/08/2014, 20:20

... and catch bond formation Talin and α-catenin, two mechanosensing proteins located at focal adhesions and adherens junctions respectively, are critical for the force dependent initialization and ... extra-cellular matrix (ECM) Main components of ECM include collagen, proteoglycans and multiadhesive matrix proteins such as fibronectin ECM acts as an organization scaffold for tissues and is responsible ... terms of molecular architecture and functions [42] Figure 1.2: Different cell -matrix adhesions have distinct morphologies and functions depending on cell type and spatial-temporal phases of the...

Ngày tải lên: 09/09/2015, 08:13

... OF NONLINEAR MODELS AND COVARIANCE MATRIX JIANG QIAN (B.Sc and M.Sc Nanjing University) A THESIS SUBMITTED FOR THE DEGREE OF DOCTOR OF PHILOSOPHY DEPARTMENT OF STATISTICS AND APPLIED PROBABILITY ... appreciate all the time and effort he has spent on me I also want to thank other faculty members and support staffs of the Department of Statistics and Applied Probability for teaching me and helping me ... and the non-negative λ is a tuning parameter The ridge penalty function, introduced by Hoerl and Kennard (1970), is pλ (|βj |) = λ|βj |2 and the bridge penalty function, introduced by Frank and...

Ngày tải lên: 09/09/2015, 17:55

... List of Abbreviations and Symbols ix Summary xi Introduction Review of Literature 6.1 Macromolecular Crowding and its Effects on DNA and the Nucleus 6.2 Macromolecular Crowding and Cellular Homeostasis ... effects of crowding and EVE in molecular biology and extracellular matrix biochemistry with a wide-range of potential applications in academic research, industrial R & D and clinical translation ... Macromolecular Crowding on Protein-folding and Stability Crowding influences protein stability by driving proteins into compact from expanded states and enhancement of self- and hetero-associations of protein...

Ngày tải lên: 11/09/2015, 09:02

... algebraic and geometric structures such as Euclidean Jordan Algebras, T -Algebras, symmetric cones, and homogeneous cones, all of which have special relationships with hyperbolic polynomials and hyperbolicity ... artists infinite reason to marvel in awe and (if they are wise) humility I’m grateful to my supervisor for his patience and understanding with my research habits and preferences, to NUS for treating ... All praise and glory belongs to the Creator of the universe whose perfect wisdom, creativity, and orderly complexity stamped on the works of His hands gives scientists, mathematicians, and other...

Ngày tải lên: 11/09/2015, 16:01