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1.
Twin Paradox and the Logical Foundation of Relativity Theory 总被引:3,自引:0,他引:3
We study the foundation of space-time theory in the framework of first-order logic (FOL). Since the foundation of mathematics has been successfully carried through (via set theory) in FOL, it is not entirely impossible to do the same for space-time theory (or relativity). First we recall a simple and streamlined FOL-axiomatization Specrel of special relativity from the literature. Specrel is complete with respect to questions about inertial motion. Then we ask ourselves whether we can prove the usual relativistic properties of accelerated motion (e.g., clocks in acceleration) in Specrel. As it turns out, this is practically equivalent to asking whether Specrel is strong enough to “handle” (or treat) accelerated observers. We show that there is a mathematical principle called induction (IND) coming from real analysis which needs to be added to Specrel in order to handle situations involving relativistic acceleration. We present an extended version AccRel of Specrel which is strong enough to handle accelerated motion, in particular, accelerated observers. Among others, we show that~the Twin Paradox becomes provable in AccRel, but it is not provable without IND. 相似文献
2.
Dávid Szegvári Romána Zelkó Péter Horváth András Gergely 《Journal of inclusion phenomena and macrocyclic chemistry》2007,57(1-4):169-172
Enantioselective solubility of rac-norgestrel was found in the presence of γ-cyclodextrin or hydroxypropyl-γ-cyclodextrin.
In both cases the efficacious enantiomer was dissolved in greater extent. Calculating the molar absorptivity and molar ellipticity
spectra of the γ- and hydroxypropyl-γ-cyclodextrin aqueous complexes, a simple and rapid direct circular dichroism (CD) spectrometric
method was obtained for the determination of the enantiomer ratio in aqueous solutions. 相似文献
3.
Gergely Harcos 《Mathematische Annalen》2003,326(2):347-365
We establish an estimate on sums of shifted products of Fourier coefficients coming from holomorphic or Maass cusp forms
of arbitrary level and nebentypus. These sums are analogous to the binary additive divisor sum which has been studied extensively.
As an application we derive, extending work of Duke, Friedlander and Iwaniec, a subconvex estimate on the critical line for
L-functions associated to character twists of these cusp forms.
Received: 2 October 2001 / Revised version: 9 September 2002 /
Published online: 28 March 2003
Mathematics Subject Classification (2000): Primary 11F30, 11F37; Secondary 11M41. 相似文献
4.
5.
On the Anion Constitutions of Aqueous Tetra-n-propylammonium and Tetraethylammonnium Silicate Solutions The constitution of the silicate anions present in 0.1 M to 3 M tetrapropylammonium-(TPA-) and tetraethylammonium-(TEA-)silicate solutions with molar TPA/Si ratios of 3, 1 and 0.6 and TEA/Si ratios of 3 and 1 is investigated by means of trimethylsilylation. Up to 16 different oligomeric silicate anions are detected and estimated quantitively. Type and quantitative dis-tribution of the silicate anions are very similar in diluted 0.1 M TEA- and TPA-silicate solutions. Concentrated TEA-silicate solutions contain preferably Si6O156? anions whereas concentrated TPA-silicate solutions are characterized by a broad distribution of different oligomeric silicate anions. The anion distribution of TPA- and TEA -silicate solutions is compared with the results of tetramethyl- and tetrabutylammonium silicate solutions studied previously. 相似文献
6.
Yanyan Zhao Ole Tietz Wei-Li Kuan Abdul K. Haji-Dheere Stephen Thompson Benjamin Vallin Elisabetta Ronchi Gergely Tth David Klenerman Franklin I. Aigbirhio 《Chemical science》2020,11(18):4773
Soluble forms of aggregated tau misfolded protein, generally termed oligomers, are considered to be the most toxic species of the different assembly states that are the pathological components of neurodegenerative disorders. Therefore, a critical biomedical need exists for imaging probes that can identify and quantify them. We have designed and synthesized a novel fluorescent probe, pTP-TFE for which binding and selectivity profiles towards aggregated tau and Aβ proteins were assessed. Our results have shown pTP-TFE to be selective for early forms of soluble tau aggregates, with high affinity of dissociation constants (Kd) = 66 nM, and tenfold selectivity over mature tau fibrils. Furthermore, we found that pTP-TFE is selective for tau over Aβ aggregates and had good cell permeability. This selectivity of pTP-TFE towards early forms of aggregated tau protein ex vivo was also supported with studies on human brain tissue containing tau and Aβ pathology. To the best of our knowledge, this is the first fluorescent molecule to be reported to have this form of selectivity profile, which suggests that pTP-TFE is a unique probe candidate for imaging-based detection of early stages of Alzheimer''s disease and other tauopathies. pTP-TFE imaging probe can distinguish soluble tau aggregated proteins from other aggregated proteins enabling earlier detection of neurodegenerative diseases. 相似文献
7.
Synthesis and Anion Constitution of Crystalline Tetramethylammonium-aluminosilicates and -aluminosilicate Solutions Crystalline tetramethylammonium aluminosilicates with molar constitutions of wN(CH3)4OH · xSiO2 · y Al2O3 · zH2O and w = 1 to 1.2; x = 1; y = 0.02 to 0.5; z = 8.1 to 9.7 has been obtained from mixtures of diluted TMA aluminate and TMA silicate solutions with different molar Si/Al ratios by concentration and cooling down of the mixtures. Investigations of the TMA aluminosilicates by means of trimethylsilylation method show that the structure of the TMA aluminosilicates consists of double fouring units in analogy to the aluminum free TMA silicates. The arrangement of the Al atoms in the double four-rings agrees in general with Loewenstein's rule and leads to five distinct types of double four-rings with different Al content and Si? Al distribution. By the methods used in this study no distinction can be made between monomeric or polymeric arrangements of the double four-ring units. The existence of aluminosilicate anions in aqueous solutions is discussed. 相似文献
8.
Hayami S Hashiguchi K Juhász G Ohba M Okawa H Maeda Y Kato K Osaka K Takata M Inoue K 《Inorganic chemistry》2004,43(14):4124-4126
Cobalt(II) compounds [Co(pyterpy)Cl(2)].MeOH (1.(MeOH)) and [Co(pyterpy)Cl(2)].2H(2)O (1.(2H(2)O)) were synthesized. The compound 1.(MeOH) forms the quasi 3-D networks by making pi-pi stacking between the 1-D chains. The methanol molecules from 1.(MeOH) can be removed by heating, and substituted by absorption of water molecules. The MeOH molecules in 1.(MeOH) are removed by heating at 410 K, and they are substituted by water molecules to form 1.(2H(2)O). 1.(2H(2)O) exhibits a S = (3)/(2) (HS) left arrow over right arrow S = (1)/(2) (LS) spin transition with a thermal hysteresis. We have succeeded in constructing a guest dependent 1-D spin-crossover cobalt(II) compound. 相似文献
9.
Rebeka Nádasdi István Szilágyi Gergely Kovács Sándor Dóbé Tibor Bérces Ferenc Márta 《Reaction Kinetics and Catalysis Letters》2006,89(1):193-199
Summary The fast flow technique with OH resonance fluorescence detection has been applied at T = 298 ± 2 K to study the kinetics of the overall reaction: H + CH3C(O)Cl → products (1) A rate constant value of k1 = (1.02 ± 0.12) x 1010 cm3 mol-1 s-1 has been determined which is the first direct kinetic parameter reported for reaction (1) in the literature (the error given
refers to 2σ accuracy). 相似文献
10.
B. Lesiak A. Kosiński R. Nowakowski L. Kövér J. Tóth D. Varga I. Cserny A. Sulyok G. Gergely 《Surface and interface analysis : SIA》2007,39(10):798-804
In elastic peak electron spectroscopy (EPES), the nearest vicinity of elastic peak in the low kinetic energy region reflects electron inelastic and quasielastic processes. Incident electrons produce surface excitations, inducing surface plasmons, with the corresponding loss peaks separated by 1–20 eV energy from the elastic peak. In this work, X‐ray photoelectron spectroscopy (XPS) and helium pycnometry are applied for determining surface atomic composition and bulk density, whereas atomic force microscopy (AFM) is applied for determining surface morphology and roughness. The component due to electron recoil on hydrogen atoms can be observed in EPES spectra for selected primary electron energies. Simulations of EPES predict a larger contribution of the hydrogen component than observed experimentally, where hydrogen deficiency is observed. Elastic peak intensity is influenced more strongly by surface morphology (roughness and porosity) than by surface excitations and quasielastic scattering of electrons by hydrogen atoms. Copyright © 2007 John Wiley & Sons, Ltd. 相似文献