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1.
Koltun 《Discrete and Computational Geometry》2003,30(1):25-44
Abstract. We consider segment intersection searching amidst (possibly intersecting) algebraic arcs in the plane. We show how to preprocess
n arcs in time O(n
2+ɛ
) into a data structure of size O(n
2+ɛ
) , for any ɛ >0 , such that the k arcs intersecting a query segment can be counted in time O( log n) or reported in time O( log n+k) . This problem was extensively studied in restricted settings (e.g., amidst segments, circles, or circular arcs), but no
solution with comparable performance was previously presented for the general case of possibly intersecting algebraic arcs.
Our data structure for the general case matches or improves (sometimes by an order of magnitude) the size of the best previously
presented solutions for the special cases.
As an immediate application of this result, we obtain an efficient data structure for the triangular windowing problem, which
is a generalization of triangular range searching. As another application, the first substantially subquadratic algorithm
for a red—blue intersection counting problem is derived. We also describe simple data structures for segment intersection
searching among disjoint arcs, and for ray shooting among possibly intersecting arcs. 相似文献
2.
The overlay of 2≤m≤d minimization diagrams of n surfaces in ℝ
d
is isomorphic to a substructure of a suitably constructed minimization diagram of mn surfaces in ℝ
d+m−1. This elementary observation leads to a new bound on the complexity of the overlay of minimization diagrams of collections
of d-variate semi-algebraic surfaces, a tight bound on the complexity of the overlay of minimization diagrams of collections of
hyperplanes, and faster algorithms for constructing such overlays. Further algorithmic implications are discussed.
Work by V. Koltun was supported by NSF CAREER award CCF-0641402.
Work by M. Sharir was supported by NSF Grants CCR-00-98246 and CCF-05-14079, by a grant from the Israeli Academy of Sciences
for a Center of Excellence in Geometric Computing at Tel Aviv University, and by the Hermann Minkowski Minerva Center for
Geometry at Tel Aviv University. 相似文献
3.
We show that n lines in 3-space can be cut into
O(n2-1/69log16/69n) pieces, such that all depth cycles
defined by triples of lines are eliminated. This partially resolves
a long-standing open problem in computational geometry, motivated by
hidden-surface removal in computer graphics. 相似文献
4.
Papers to appear in this volume 相似文献
5.
CM Thaker S Rayaprol Krushna Mavani DS Rana MS Sahasrabudhe SI Patil DG Kuberkar 《Pramana》2002,58(5-6):1035-1039
The effect of simultaneous substitution of a fluctuating cation and a divalent cation in LaMnO3 perovskite modifies the properties of the material to exhibit large valence colossal magnetoresistance (CMR) effect. A good
example of these properties is (La1−2x
Pr
x
Ca
x
)MnO3 (LPCMO) type CMR material. In this communication it is reported that, with the increase in x (for x=0.1, 0.15, 0.2), the T
c varies between 100 and 120 K with improvisation in metal-insulator transition. Interestingly, resistance increases with x from few hundred ohms to few kilo ohms with corresponding decrease in the unit cell volume. The results of the studies using
X-ray diffraction (XRD), electrical resistivity, magnetoresistance and ac susceptibility measurements on LPCMO samples for
understanding the structural, transport and magnetic properties are discussed in detail. 相似文献
6.
The optical properties of highly doped single crystals and diffused layers of p-type gallium arsenide were investigated in the spectral range from 0.2 to 25. A technique has been suggested and experimentally tested; it provides for transparent selective coatings and their application, as well as for a modification of the surface microrelief for reducing the reflection coefficient in the desired spectral range. 相似文献
7.
We study elastic pion-deuteron scattering in the Δ(1236) energy region by means of the three-body Faddeev equations. We present a compact angular momentum reduction of the Faddeev integral equation for separable amplitudes, neglecting the nucleon spin, and solve the resulting coupled integral equations. We examine the dependence of the elastic scattering amplitude on the deuteron structure, on the pion-nucleon scattering amplitude, and on the various orders of multiple scattering. The differential cross section is very sensitive to multiple scattering effects at backward angles. We find that a number of conventional approximations do not well reproduce these multiple scattering effects in the resonance region. 相似文献
8.
Both diastereomeric 4-butylspiropentylcarbinyl bromides (14a and 14b) were synthesized in seven steps starting from 1-heptyne, and the stereochemical assignments based upon NOE experiments were confirmed by converting their immediate alcohol precursors (13a and 13b) to 1,4-dibutylspiropentanes (17a and 17b) with C(1) and C(2) symmetry. Each bromide was used to generate its corresponding spiropentylcarbinyl radical (18a and 18b) via its AIBN-initiated tri-n-butyltin hydride reduction. The radical-trapped products are identified, the preferred ring scission mode is identified (C1[bond] C2 bond cleavage), and the estimated rates for the ring opening of 4-butylspiropentylcarbinyl radical (18, k(25) degrees C > or = approximately 5 x 10(9) s(-1)) and 2-butyl-1-vinylcyclopropylcarbinyl radical (33, k(25) degrees C approximately 5 x 10(8) s(-1)) are reported. High-level ab initio calculations addressing the ring-opening isomerizations of cyclopropylcarbinyl and spiropentylcarbinyl radicals also are presented. These results in conjunction with a previous study enable us to propose two structures for the enzyme-catalyzed FAD adducts resulting from spiropentylacetic acid-CoA, a synthetic byproduct of fatty acid metabolism. 相似文献
9.
10.