The first edition of these notes was written by Professor Dyson. The second edition was prepared by Michael J. Moravcsik; he is responsible for the changes made in the process of re-editing. A * : complex conjugate transposed (Hermitian conjugate) A + : complex conjugate (not transposed) A : A * β = A * γ 4 = adjoint A −1 = inverse A T = transposed I = identity matrix or operator i

In this paper, we propose a new auxiliary-vector (AV) algorithm using the conjugate orthogonality for speech enhancement. When only a limited data record is available, the AV algorithm is the state-of-the-art for obtaining the minimumvariance-distortionless (MVDR) filter. However, the current AV algorithms suffer from convergence problems when applied to the speech enhancement. Based on the con...

Nanoparticles of Poly(L-glutamic acid) (PG) conjugated to the anticancer drug paclitaxel and targeted moiety folic acid (FA) were synthesized and characterized in vitro. The nanoparticles were designed to take advantage of FA targeting to folate receptor (FR) positive cancer cells. The chemical composition of the conjugate was characterized by H-NMR, FTIR and UV/vis spectroscopy. The selective ...

A homogeneous enzyme-linked competitive-binding assay for biotin with glucose-6-phosphate dehydrogenase (GGPDH), is described. This assay is based on the interaction between a GGPDH/biotin conjugate with avidin, a natural binder for biotin. In the absence of biotin in the assay mixture, this interaction results in 100% inhibition of the enzyme conjugate. In the presence of biotin, the enzymatic...

Haemophilus influenzae type b (Hib) is a major cause of bacterial meningitis among children. Hib conjugate vaccines have effectively prevented Hib infection, and routine immunization with Hib conjugate vaccine has diminished the incidence of the disease in the United States and European countries. Introduction of Hib conjugate vaccines is also required in Japan. However, endotoxin that can carr...

A covalently linked protein--protein conjugate between ThiF and ThiS thiocarboxylate was found in a partially purified coexpressed ThiF/ThiS protein mixture by using Fourier transform mass spectrometry. The Cys-184 of ThiF and the C terminus of ThiS thiocarboxylate were identified to be involved in the formation of this complex by using both mutagenesis and chemical modification methods. A comp...

Quinaldic acid, which was found to be a metabolite of kynurenic acid (l), was not conjugated by the rabbit (2), but was excreted by the rat both free and as the glycine conjugate (3). When quinaldic acid was administered orally or parenterally to the cat, the urine contained little, if any, quinaldic acid or quinaldylglycine, but about two-thirds of the compound was accounted for as quinaldylgl...

In this paper, we will introduce the notion of conjugate phase retrieval, which is a relaxed definition of phase retrieval allowing recovery of signals up to conjugacy as well as a global phase factor. It is known that frames of real vectors are never phase retrievable on C in the ordinary sense, but we show that they can be conjugate phase retrievable in complex vector spaces. We continue to d...

Condensation of the antitumor antibiotic epirubicin with oxidized chitosan provided a new conjugated antibiotic. The resultant compound was characterized by IR and UV-Visspectra with support the conjugate structure. The amount of epirubicin bound to the matrix was 22.5 % or 315 epirubicin residues. The biological activity of epirubicin-chitosan conjugate showed an antibacterial action against B...

The adsorption of antithrombin III (AT III) onto polystyrene surfaces preadsorbed with albumin or albumin-heparin conjugates was studied using a two step enzyme immuno assay. When AT III-buffer solutions were used, the highest adsorption values were measured on high affinity albumin-heparin conjugate pretreated surfaces. Less AT III adsorption was found on nonfractionated albumin-heparin conjug...