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A sufficient condition for the symplecticness ofq-derivative Runge-Kutta methods has been derived by F. M. Lasagni. In the present note we prove that this condition can only be satisfied for methods withq1, i.e., for standard Runge-Kutta methods. We further show that the conditions of Lasagni are also necessary for symplecticness so that no symplectic multi-derivative Runge-Kutta method can exist.This research has been supported by project PB89-0351 (Dirección General de Investigación Científica y Técnica) and by project No. 20-32354.91 of Swiss National Science Foundation. 相似文献
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Ander Chapartegui-Arias Anna Raysyan Dr. Ana M. Belenguer Dr. Carsten Jaeger Teodor Tchipilov Carsten Prinz Dr. Carlos Abad Dr. Sebastian Beyer Dr. Rudolf J. Schneider Dr. Franziska Emmerling 《Chemistry (Weinheim an der Bergstrasse, Germany)》2021,27(36):9414-9421
Zeolitic imidazolate framework (ZIF) hybrid fluorescent nanoparticles and ZIF antibody conjugates have been synthesized, characterized, and employed in lateral-flow immunoassay (LFIA). The bright fluorescence of the conjugates and the possibility to tailor their mobility gives a huge potential for diagnostic assays. An enzyme-linked immunosorbent assay (ELISA) with horseradish peroxidase (HRP) as label, proved the integrity, stability, and dispersibility of the antibody conjugates, LC-MS/MS provided evidence that a covalent link was established between these metal-organic frameworks and lysine residues in IgG antibodies. 相似文献
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Ander Camiruaga Dr. Imanol Usabiaga Dr. Camilla Calabrese Iker Lamas Prof. Francisco J. Basterretxea Dr. José A. Fernández 《Chemistry (Weinheim an der Bergstrasse, Germany)》2022,28(1):e202103636
One of the most fascinating questions in chemistry is why nature chose CGAT as the alphabet of life. Very likely, such selection was the result of multiple factors and a long period of refinement. Here, we explore how the intermolecular interactions influenced such process, by characterizing the formation of dimers between adenine, theobromine and 4-aminopyrimidine. Using a combination of mass-resolved excitation spectroscopy and DFT calculations, we determined the structure of adenine-theobromine and 4-aminopyrimidine-theobromine dimers. The binding energy of these dimers is very close to the canonical adenine-thymine nucleobases. Likewise, the dimers are able to adopt Watson-Crick conformations. These findings seem to indicate that there were many options available to build the first versions of the informational polymers, which also had to compete with other molecules, such as 4-aminopyrimidine, which does not have a valid attaching point for a saccharide. For some reason, nature did not select the most strongly-bonded partners or if it did, such proto-bases were later replaced by the nowadays canonical CGAT. 相似文献
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In this article, conditions for the preservation of quadratic and Hamiltonian invariants by numerical methods which can be written as B-series are derived in a purely algebraical way. The existence of a modified invariant is also investigated and turns out to be equivalent, up to a conjugation, to the preservation of the exact invariant. A striking corollary is that a symplectic method is formally conjugate to a method that preserves the Hamitonian exactly. Another surprising consequence is that the underlying one-step method of a symmetric multistep scheme is formally conjugate to a symplectic P-series when applied to Newton’s equations of motion. 相似文献
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Carlos A. Sanhueza Ander C. Arias Rosa L. Dorta Jesús T. Vázquez 《Tetrahedron: Asymmetry》2010,21(15):1830-1832
A series of alkyl glycosyl sulfoxides were synthesized and analyzed by NMR and CD. The study of the configuration of the sulfur atom revealed several types of spectroscopic behavior that can be used as a criterion for this purpose. The study also pointed to CD as the preferential technique, showing clear advantages over NMR methods. A general rule for determining the absolute configuration of glycosyl sulfoxides by CD is proposed. 相似文献
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Silvia Millán M. Carmen Sampedro Patricia Gallejones Ander Castellón Maria L. Ibargoitia M. Aranzazu Goicolea Ramón J. Barrio 《Analytical and bioanalytical chemistry》2009,394(6):1661-1669
A rapid and sensitive method for the speciation and quantification of glucosinolates in rapeseed is described. The method
combines liquid chromatography (LC) with ion trap mass spectrometry (ITMS) detection. Electrospray ionization (ESI) has been
chosen as the ionization technique for the on-line coupling of LC with ITMS. Glucosinolates are extracted from different rapeseeds
with MeOH and the extracts are cleaned-up by solid phase extraction with Florisil cartridges. Aqueous extracts are injected
into LC system coupled to an ITMS, leading to accurately quantify eight of the most important glucosinolates in rapeseed,
by MS2 mode and confirming their structure by MS3 acquisition. All the glucosinolates found in rapeseeds provide good signals corresponding to the deprotonated precursor ion
[M-H]−. The method is reliable and reproducible, and detection limits range from 0.5 nmol g−1 to 3.7 nmol g−1 when 200 mg of dried seeds of certified reference material are analyzed. Within-day and between-day RSD percentages range
between 2.4–14.1% and 3.9–16.9%, respectively. The LC-ESI-ITMS-MS method described here allows for a rapid assessment of these
metabolites in rapeseed without a desulfatation step. The overall process has been successfully applied to identify and quantify
glucosinolates in rapeseed samples. 相似文献
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