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61.
J. R. Cannon Richard E. Ewing 《Zeitschrift für Angewandte Mathematik und Physik (ZAMP)》1976,27(3):393-401
The determination of a spatially dependent source term in a linear parabolic differential equation whose coefficients depend only on the space variable from the specification of the heat flux at one of the boundaries in addition to the usual boundary-initial conditions is a not wellposed problem in the sense of Hadamard. Continuous dependence upon the data is studied and it is demonstrated that the asymptotic dependence as the norm of the data tends to zero is no worse than logarithmic.
Zusammenfassung Wir betrachten eine lineare parabolische Differentialgleichung, deren Koeffizienten zeitunabhängig sind. Die Bestimmung der unbekannten zeitunabhängigen Wärmequelle aus dem seitlichen Wärmefluss, zusätzlich zu den üblichen Randbedingungen ist kein wohlbestimmtes Problem im Sinne von Hadamard. Wir betrachten die stetige Abhängigkeit der Lösungen von diesen Daten und zeigen, dass die asymptotische Abhängigkeit höchstens logarithmisch ist, wenn die Norm der Daten gegen Null strebt.相似文献
62.
Effects of purification on the crystallization of lysozyme 总被引:2,自引:0,他引:2
Felecia L. Ewing Elizabeth L. Forsythe Mark van der Woerd Marc L. Pusey 《Journal of Crystal Growth》1996,160(3-4):389-397
We have additionally purified a commercial lysozyme preparation by cation exchange chromatography, followed by recrystallization. This material is 99.96% pure with respect to macromolecular impurities. At basic pH, the purified lysozyme gave only tetragonal crystals at 20°C. Protein used directly from the bottle, prepared by dialysis against distilled water, or which did not bind to the cation exchange column had considerably altered crystallization behavior. Lysozyme which did not bind to the cation exchange column was subsequently purified by size exclusion chromatography. This material gave predominately bundles of rod-shaped crystals with some small tetragonal crystals at lower pHs. The origin of the bundled rod habit was postulated to be a thermally dependent tetragonal ↔ orthorhombic change in the protein structure. This was subsequently ruled out on the basis of crystallization behavior and growth rate experiments. This suggests that heterogeneous forms of lysozyme may be responsible. These results demonstrate three classes of impurities: (1) small molecules, which may be removed by dialysis; (2) macromolecules, which are removable by chromatographic techniques; and (3) heterogeneous forms of the protein, which can be removed in this case by cation exchange chromatography. Of these, heterogeneous forms of the lysozyme apparently have the greatest affect on its crystallization behavior. 相似文献
63.
Tho Duc Khanh Nguyen Stefania Rabasco Alicia A. Lork Andre Du Toit Prof. Andrew G. Ewing 《Angewandte Chemie (International ed. in English)》2023,62(28):e202304098
We used correlative transmission electron microscopy (TEM) and nanoscale secondary ion mass spectrometry (NanoSIMS) imaging to quantify the contents of subvesicular compartments, and to measure the partial release fraction of 13C-dopamine in cellular nanovesicles as a function of size. Three modes of exocytosis comprise full release, kiss-and-run, and partial release. The latter has been subject to scientific debate, despite a growing amount of supporting literature. We tailored culturing procedures to alter vesicle size and definitively show no size correlation with the fraction of partial release. In NanoSIMS images, vesicle content was indicated by the presence of isotopic dopamine, while vesicles which underwent partial release were identified by the presence of an 127I-labelled drug, to which they were exposed during exocytosis allowing entry into the open vesicle prior to its closing again. Demonstration of similar partial release fractions indicates that this mode of exocytosis is predominant across a wide range of vesicle sizes. 相似文献
64.
MJ Singh DO Kataria N Madhavan P Sugathan JJ Das DK Awasthi AK Sinha R Shanker 《Pramana》1999,53(4):743-764
A projectile ion-recoil ion coincidence technique has been employed to study the multiple ionization and the charge transfer
processes in collisions of 60–120 MeV Si
q+ (q = 4−14) ions with neutral argon atoms. The relative contribution of different ionization channels, namely; direct ionization,
electron capture and electron loss leading to the production of slow moving multiply charged argon recoil ions have been investigated.
The data reported on the present collision system result from a direct measurement in the considered impact energy for the
first time. The total ionization cross-sections for the recoil ions are shown to scale as q
1.7/E
p
0.5
, where E
p is the energy in MeV of the projectile and q its charge state. The recoil fractions for the cases of total- and direct ionizations are found to decrease with increasing
recoil charge state j. The total ionization fractions of the recoils are seen to depend on q and to show the presence of a ‘shell-effect’ of the target. Further, the fractions are found to vary as 1/j
2 upto j = 8+. The average recoil charge state 〈j〉 increases slowly with q and with the number of lost or captured electrons from or into the projectile respectively. The projectile charge changing
cross-sections σ
qq′ are found to decrease with increasing q for loss ionization and to increase with q for direct-and capture ionization processes respectively. The physics behind various scaling rules that are found to follow
our data for different ionization processes is reviewed and discussed. 相似文献
65.
Richard Ewing Raytcho Lazarov Yanping Lin 《Numerical Methods for Partial Differential Equations》2000,16(3):285-311
In this article, we study finite volume element approximations for two‐dimensional parabolic integro‐differential equations, arising in the modeling of nonlocal reactive flows in porous media. These types of flows are also called NonFickian flows and exhibit mixing length growth. For simplicity, we consider only linear finite volume element methods, although higher‐order volume elements can be considered as well under this framework. It is proved that the finite volume element approximations derived are convergent with optimal order in H1‐ and L2‐norm and are superconvergent in a discrete H1‐norm. By examining the relationship between finite volume element and finite element approximations, we prove convergence in L∞‐ and W1,∞‐norms. These results are also new for finite volume element methods for elliptic and parabolic equations. © 2000 John Wiley & Sons, Inc. Numer Methods Partial Differential Eq 16: 285–311, 2000 相似文献
66.
67.
David F. Ewing Christophe Len Grahame Mackenzie Gino Ronco Pierre Villa 《Tetrahedron: Asymmetry》2000,11(24)
1,2-O-Isopropylidene-α-
-xylofuranose has been used to protect one aldehyde group of o-phthalaldehyde. This chiral protecting group acts as a resolving agent and this leads to separable diastereoisomers when a new stereogenic centre is created by the conversion of the second aldehyde group to a benzyloxyhydroxyethyl chain. These separated diastereoisomers were cyclised to 1,3-dihydrobenzo[c]furans with retention of chiral integrity at the C3 site thus allowing further elaboration to enantiomerically pure nucleoside analogues. 相似文献
68.
Treatment of a primary t-butyl carbamate (Boc) group with excess sodium t-butoxide in slightly wet tetrahydrofuran or 2-methyltetrahydrofuran provides the corresponding primary amine in excellent yield. We believe the reaction proceeds through an isocyanate intermediate. 相似文献
69.
70.