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991.
Joseph W. Jerome 《Nonlinear Analysis: Theory, Methods & Applications》2011,74(18):7486-7498
The initial-boundary value problem for the Poisson–Nernst–Planck/Navier–Stokes model was investigated in [J.W. Jerome, R. Sacco, Global weak solutions for an incompressible charged fluid with multi-scale couplings: initial-boundary-value problem, Nonlinear Anal. 71 (2009) e2487–e2497], where an existence theory was demonstrated, based upon Rothe’s method of horizontal lines. In this article, the steady case is considered, and the existence of a weak solution is established for the boundary-value problem. This solution satisfies a weak maximum principle for the concentrations relative to the boundary values. As noted in the above-mentioned citation, the model assumes significance because of its connection to the electrophysiology of the cell, including neuronal cell monitoring and microfluidic devices in biochip technology. The model has also been used in other applications, including electro-osmosis. The steady model is especially important in ion channel modeling, because the channel remains open for milliseconds, and the transients appear to decay on the scale of tens of nanoseconds. 相似文献
992.
It is known that the set of all solutions of a commutant lifting and other interpolation problems admits a Redheffer linear-fractional
parametrization. The method of unitary coupling identifies solutions of the lifting problem with minimal unitary extensions
of a partially defined isometry constructed explicitly from the problem data. A special role is played by a particular unitary
extension, called the central or universal unitary extension. The coefficient matrix for the Redheffer linear-fractional map has a simple expression in terms of the universal unitary
extension. The universal unitary extension can be seen as a unitary coupling of four unitary operators (two bilateral shift
operators together with two unitary operators coming from the problem data) which has special geometric structure. We use
this special geometric structure to obtain an inverse theorem (Theorem 8.4) which characterizes the coefficient matrices for
a Redheffer linear-fractional map arising in this way from a lifting problem. The main tool is the formalism of unitary scattering
systems developed in Boiko et al. (Operator theory, system theory and related topics (Beer-Sheva/Rehovot 1997), pp. 89–138,
2001) and Kheifets (Interpolation theory, systems theory and related topics, pp. 287–317, 2002) 相似文献
993.
Erik D. Demaine Martin L. Demaine Vi Hart John Iacono Stefan Langerman Joseph O��Rourke 《Graphs and Combinatorics》2011,27(3):363-376
We construct the first two continuous bloomings of all convex polyhedra. First, the source unfolding can be continuously bloomed. Second, any unfolding of a convex polyhedron can be refined (further cut, by a linear number of cuts) to have a continuous blooming. 相似文献
994.
Convex and concave relaxations are used extensively in global optimization algorithms. Among the various techniques available
for generating relaxations of a given function, McCormick’s relaxations are attractive due to the recursive nature of their
definition, which affords wide applicability and easy implementation computationally. Furthermore, these relaxations are typically
stronger than those resulting from convexification or linearization procedures. This article leverages the recursive nature
of McCormick’s relaxations to define a generalized form which both affords a new framework within which to analyze the properties
of McCormick’s relaxations, and extends the applicability of McCormick’s technique to challenging open problems in global
optimization. Specifically, relaxations of the parametric solutions of ordinary differential equations are considered in detail,
and prospects for relaxations of the parametric solutions of nonlinear algebraic equations are discussed. For the case of
ODEs, a complete computational procedure for evaluating convex and concave relaxations of the parametric solutions is described.
Through McCormick’s composition rule, these relaxations may be used to construct relaxations for very general optimal control
problems. 相似文献
995.
A robust route to 2,4-disubstituted pyrrole heterocycles relying upon a cascade reaction is reported. The reaction benefits from operational simplicity: it is air and moisture tolerant and is performed at ambient temperature. Control over the reaction conditions provides ready access to isopyrroles, 2,3,4-trisubstituted pyrroles, and 3-substituted pyrollidin-2-ones. 相似文献
996.
Salandria KJ Arico JW Calhoun AK McLaughlin LW 《Journal of the American Chemical Society》2011,133(6):1766-1768
We describe here the synthesis and properties of A-T rich DNA containing covalently bound water mimics located in the DNA minor groove. 相似文献
997.
Kumarasamy E Jesuraj JL Omlid JN Ugrinov A Sivaguru J 《Journal of the American Chemical Society》2011,133(43):17106-17109
Nonbiaryl axially chiral 2-pyridones were synthesized and employed for light-induced electrocyclic 4π ring closure leading to bicyclo-β-lactam photoproducts in solution. The enantioselectivity in the photoproducts varied from 22 to 95% depending on the reaction temperature and the ability of the axially chiral chromophore to form intramolecular and/or intermolecular H-bonds with the solvent. On the basis of the differential activation parameters, entropic control of the enantiospecificity was observed for 2-pyridones lacking the ability to form H-bonds. Conversely, enthalpy played a significant role for 2-pyridones having the ability to form H-bonds. 相似文献
998.
Moran J Smith AG Carris RM Johnson JS Krische MJ 《Journal of the American Chemical Society》2011,133(46):18618-18621
The coupling of carbonyl electrophiles at the donor position of donor-acceptor cyclopropanes is described, representing an inversion of polarity with respect to conventional reactivity modes displayed by these reagents. Specifically, upon exposure of donor-acceptor cyclopropanes to alcohols in the presence of a cyclometalated iridium catalyst modified by (S)-BINAP, catalytic C-C coupling occurs, providing enantiomerically enriched products of carbonyl allylation. Identical products are obtained upon isopropanol-mediated transfer hydrogenation of donor-acceptor cyclopropanes in the presence of aldehydes. The reaction products are directly transformed to cis-4,5-disubstituted δ-lactones. 相似文献
999.
An electrochemical genosensor in which signal amplification is achieved using p-aminophenol (p-AP) redox cycling by nicotinamide adenine dinucleotide (NADH) is presented. An immobilized thiolated capture probe is combined with a sandwich-type hybridization assay, using biotin as a tracer in the detection probe, and streptavidin-alkaline phosphatase as reporter enzyme. The phosphatase liberates the electrochemical mediator p-AP from its electrically inactive phosphate derivative. This generated p-AP is electrooxidized at an Au electrode modified self-assembled monolayer to p-quinone imine (p-QI). In the presence of NADH, p-QI is reduced back to p-AP, which can be re-oxidized on the electrode and produce amplified signal. A detection limit of 1 pM DNA target is offered by this simple one-electrode, one-enzyme format redox cycling strategy. The redox cycling design is applied successfully to the monitoring of the 16S rRNA of E. coli pathogenic bacteria, and provides a detection limit of 250 CFU μL−1. 相似文献
1000.
White KA Schofield AB Wormald P Tavacoli JW Binks BP Clegg PS 《Journal of colloid and interface science》2011,359(1):126-135
Using a system of modified silica particles and mixtures of water and 2,6-lutidine to form particle-stabilized emulsions, we show that subtle alterations to the hydration of the particle surface can cause major shifts in emulsion structure. We use fluorescence confocal microscopy, solid state nuclear magnetic resonance (NMR) and thermo-gravimetric analysis (TGA) to explore this sensitivity, along with other shifts caused by modifications to the silica surface chemistry. The silica particles are prepared by a variant of the St?ber procedure and are modified by the inclusion of 3-(aminopropyl)triethoxysilane and the dye fluorescein isothiocyanate. Treatment prior to emulsification consists of gently drying the particles under carefully controlled conditions. In mixtures of water and 2,6-lutidine of critical composition, the particles stabilize droplet emulsions and bijels. Decreasing particle hydration yields an inversion of the emulsions from lutidine-in-water (L/W) to water-in-lutidine (W/L), with bijels forming around inversion. So dependent is the emulsion behavior on particle hydration that microscopic differences in drying within a particle sample can cause differences in the wetting behavior of that sample, which helps to stabilize multiple emulsions. The formation of bijels at emulsion inversion is also crucially dependent on the surface modification of the silica. 相似文献