Generating nonorthogonal bases for signal representation

The representation of functions in a basis function expansionz(t)= k=1/=,a _k> x _k (t) is straightforward when the basis functionsx _k (t) are orthogonal. There has been very little work up to this time in determining how to use nonorthogonal bases in signal representation. On the other hand, applications in data compression and signal synthesis often require using specific tailor-made bases. Presented here is a method for constructing very general nonorthogonal bases.Orthogonality has often been used to show that a basis spans the set of functions of interest and to calculate the coefficients of the representation. In this paper, both of these fundamental aspects are addressed for nonorthogonal bases. A new basis {y _k (t)} is obtained by performing a linear transformation on a known existing basis {x _k (t)}. This transformation is constructed such that the coefficients of signal representation on the new basis are readily found. Then, a useful and sufficient condition is placed upon the new basis such that representations converge.The fundamental methods are applied to the standard examples of signal representation. The complex sinusoids, the Rademacher functions, the orthogonal polynomials, and the decaying exponentials are used as the original basis {x _k (t)} from which a new basis {y _k (t)} is generated. Two examples are given to illustrate general applications: one in signal synthesis and one in signal analysis.     

316L不锈钢中添加Al后的抗腐蚀性能

合金中添加Al可提高其抗腐蚀性能.在316L不锈钢中添加不同含量的Al,研究了合成的合金在5%H2SO4中的均匀腐蚀速率和在65%浓HNO3中的晶间腐蚀速率.结果表明:合金均匀腐蚀速率和晶间腐蚀速率均随着Al含量增加先减小后增大;添加2.00%,4.00%Al的合金的均匀腐蚀速率和晶间腐蚀速率较低;添加了Al的合金的晶间腐蚀速率低于未加Al的合金.     

The discipline dependence of citation statistics

This study compares the citations characteristics of researchers in engineering disciplines with other major scientific disciplines, and investigates variations in citing patterns within subdisciplines in the field of engineering. Utilizing citations statistics including Hirsch’s (Proc Natl Acad Sci USA 102(46):16569–16572, 2005) h-index value, we find that significant differences in citing characteristics exist between engineering disciplines and other scientific fields. Our findings also reveal statistical differences in citing characteristics between subdisciplines found within the same engineering discipline.     

The Diffuse Interstellar Cloud Experiment: a high-resolution far-ultraviolet spectrograph

We have designed, assembled, and launched a sounding rocket payload to perform high-resolution far-ultraviolet spectroscopy. The instrument is functionally a Cassegrain telescope followed by a modified Rowland spectrograph. The spectrograph was designed to achieve a resolving power (R=λ/δλ) of 60,000 in a compact package by adding a magnifying secondary optic. This is enabled by using a holographically ruled grating to minimize aberrations induced by the second optic. We designed the instrument to observe two stars on opposing sides of a nearby hot/cold gas interface. Obtaining spectra of the O VI doublet in absorption toward these stars can provide new insight into the processes governing hot gas in the local interstellar medium. Here we present the optical design and alignment of the telescope and spectrograph, as well as flight results.     

A MARANTHUS CRUENTUS LECTIN: PURIFICATION, STABILITY, AND SOME BIOCHEMICAL PROPERTIES

Amaranth lectin from Amaranthus cruentus seeds was isolated, purified and partially characterized. The purification method used was based on its ability to interact with fetuin. Effects of temperature, pH and buffers and concentration were determined by measurement of lectin hemagglutination activity. Amaranth lectin biological activity was best maintained at temperatures between 4 and 30°C and pH's above or below 5. It was possible to store amaranth lectin at 4°C in acetate buffers, pH 4.8, for prolonged periods and to concentrate it 10-fold by ultrafiltration with only 18% loss of activity. A subunit molecular weight of 32,500 daltons was determined by SDS-PAGE for amaranth lectin.     

Progressive spastic paraparesis and adrenal insufficiency

A 10-year-old boy with progressive paraparesis, personality change, and seizures had laboratory evidence of adrenal insufficiency. Pathologic study showed cerebral edema, but no loss of myelin. Notable pathologic changes were limited to the spinal cord, where the corticospinal and spinocerebellar tracts were demyelinated. Lipid analysis of the brain was normal apart from the finding that galactocerebroside contained a higher proportion than normal of alpha-hydroxy fatty acids. We suggest that this case represents a distinct disease, differing importantly from adrenoleukodystrophy. The underlying defect appears to be in the early enzymatic pathway before cholesterol synthesis, although it is also possible that the defect is at the cell membrane.     

Physico-chemical properties of a protein-inhibitor of serine proteinases from the potato]

Serine proteases inhibitor with pl-7.3, isolated from potatoe tubers by isoelectric focusing procedure as described previously (V.V. Mosolov et al., Bioorganic Chem., 1, 1449, 1975), was homogeneous under ultracentrifugation, having sedimentation coefficient S20,w 2.8S. Its molecular weight, investigated by sedimentation equilibrium and gel filtration through Sephadex G-100, was found to be 32500 and 31500 respectively. The Stokes radius R and frictional ratio f/fo were found to be 24 A and 1.14. The molecular weight of the inhibitor as determined by sodium dodecylsulfate polyacrylamide electrophoresis was twice as low as determined in ultracentrifuge and by gel filtration procedure. It is suggested that the inhibitor is dimer and consists of two protomers of equal molecular weight.