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81.
Annette A’Campo–Neuen 《Archiv der Mathematik》2006,87(3):217-226
We prove tight lower bounds for the coefficients of the toric h-vector of an arbitrary centrally symmetric polytope generalizing previous results due to R. Stanley and the author using
toric varieties. Our proof here is based on the theory of combinatorial intersection cohomology for normal fans of polytopes
developed by G. Barthel, J.-P. Brasselet, K. Fieseler and L. Kaup, and independently by P. Bressler and V. Lunts. This theory
is also valid for nonrational polytopes when there is no standard correspondence with toric varieties. In this way we can
establish our bounds for centrally symmetric polytopes even without requiring them to be rational.
Received: 24 March 2004 相似文献
82.
V. G. Veselago 《Applied physics. B, Lasers and optics》2005,81(2-3):403-407
In the following article some electrodynamical problems of materials with negative refraction are considered. In contrast to the usual case when the index of refraction is positive, for these sorts of materials many laws and equations must be recorded differently. Special note is taken of the fact that most of the books and textbooks are written with the so-called “nonmagnetic approach”, which is only valid for nonmagnetic materials (μ = 1). This approach is undoubtedly unfit for material with a negative index of refraction.It is shown that materials with simultaneously negative dielectric and magnetic permeabilities undoubtedly must possess the frequency dispersion. Correlation is brought between phase and group velocities for these sorts of materials.The question is considered in detail about the so-called “overcoming of the diffraction limit” by means of plates from materials with a negative factor of refraction. It is shown that this effect is indeed reduced to the problem of matching between source and receiver of radiation. Such matching is possible by spreading the so-called evanescent modes, for which a diffraction limit does not exist. These modes fade within a distance of the order of the wavelength, and only at such a distance is the transfer of picture details that are smaller than the wavelength possible. 相似文献
83.
Giovanni Ranieri 《Archiv der Mathematik》2002,79(6):472-478
In 1980, J. Esterle proved the Wiener theorem forL
1 (—) by a completely new method using analytic semigroup techniques. We show here how to extend the method in two different
ways. First, it is shown that spectral synthesis for points on the real line is also provided by analytic semigroup techniques.
Second, Esterle's proof may also be adapted to provide Wiener theorem for some elementary hypergroups.
Eine überarbeitete Fassung ging am 24. 4. 2001 ein 相似文献
84.
目的观察头孢曲松(CFX)通过调控与缝隙连接蛋白43(Cx43)表达在治疗创伤性颅脑损伤(TBI)的相关性机制。方法选取100只体重350~450g的4月龄的SD雄性大鼠,采用液压打击仪建立脑损伤模型,具体分组为:①假手术(sham)组、②治疗(TBI+CFX)治疗组、③甘珀酸(CBX)阻断(TBI+CFX+CBX)组、④溶媒(TBI+生理盐水)组及⑤损伤(TBI)组,每组20只。实验时间均设定为TBI后48 h。每组取10只大鼠进行行为学检测和脑组织含水量测定,另10只则获取海马区胶质组织通过蛋白免疫印记法(WB)法测定神经元缝隙连接蛋白40(Cx40)及磷酸化Cx43蛋白(p-Cx43)的变化、采用酶联免疫荧光(ELFA)检测神经元氧化应激因子NADPH氧化酶活性的变化。结果实验结果显示,采用CFX干预组神经损伤严重度评分(NSS)、脑水肿程度、腺嘌呤二核苷酸磷酸(NADPH)氧化酶活性及海马胶质细胞Cx40、p-Cx43表达均溶媒组及损伤组明显下降(P 0.05)。而CBX可明显抑制上述CFX对Cx40、p-Cx43蛋白表达下调及降低NADPH氧化酶的活性的作用(P0.05)。结论 CFX可能通过抑制Cx43蛋白磷酸化和Cx40蛋白异常增多,从而抑制氧化应激反应以达到脑损伤缓解作用。 相似文献
85.
《Journal of Pure and Applied Algebra》2023,227(3):107229
We introduce the notion of ?Schur superalgebra, which can be regarded as a type B/C counterpart of the q-Schur superalgebra (of type A) formulated as centralizer algebras of certain signed q-permutation modules over Hecke algebras. Some multiplication formulas for ?Schur superalgebra are obtained to construct their canonical bases. Furthermore, we established an isomorphism theorem between the ?Scuhr superalgebras and the q-Schur superalgebras of type A, which helps us derive semisimplicity criteria of the ?Schur superalgebras. 相似文献
86.
研究了N,N,N′,N′-四辛基-3-氧戊二酰胺(TODGA)溶于疏水性离子液体咪唑类离子液体1-乙基-3-甲基咪唑双三氟甲磺酰亚胺盐([C2mim][NTf2])中对硝酸水溶液体系中四价钍离子(Th4+)的萃取行为。详细考察了接触时间、酸度、Th4+浓度、TODGA浓度、温度对TODGA/[C2mim][NTf2]体系萃取性能的影响。作为对比,我们还考察了TODGA在传统有机溶剂异辛烷中对Th4+的萃取。结果表明:TODGA/[C2mim][NTf2]体系对Th4+的萃取是吸热反应,且在50℃下,能在5 min内达到平衡。萃取体系随着酸度对Th4+的萃取性能先降后增大;Th4+浓度的增大,TODGA浓度的降低,对Th4+的萃取性能下降。TODGA在离子液体萃取体系中比在有机体系中有更好的Th4+萃取效果,特别是在低酸条件下。通过萃取机理研究,推测出在低酸下萃取反应是离子交换且TODGA与Th4+配比为2∶1,在高酸下萃取是中性配位。 相似文献
87.
88.
Let φ be a Young function, Ω be a locally compact space, and μ be a positive Radon measure on Ω. We consider a strict topology (in the sense of Sentilles‐Taylor) on the Orlicz function space and investigate various properties of this locally convex topology. We also study the Orlicz space of a locally compact group G with a left Haar measure under the strict topology and certain other natural locally convex topologies. Finally we present some results on various continuity properties of convolution operators on under the topology and other natural ones. 相似文献
89.
A geometric construction of quantum Schur algebras was given by Beilinson, Lusztig and MacPherson in terms of pairs of flags in a vector space. By viewing such pairs of flags as representations of a poset, we give a recursive formula for the structure constants of quantum Schur algebras which is related to certain Hall polynomials. As an application, we provide a direct proof of the fundamental multiplication formulas which play a key role in the Beilinson-Lusztig-MacPherson realization of quantum gln. In the appendix we show how to groupoidify quantum Schur algebras in the sense of Baez, Hoffnung and Walker. 相似文献
90.
We consider generalized potential operators with the kernel on bounded quasimetric measure space (X, μ, d) with doubling measure μ satisfying the upper growth condition μB(x, r) ? KrN, N ∈ (0, ∞). Under some natural assumptions on a(r) in terms of almost monotonicity we prove that such potential operators are bounded from the variable exponent Lebesgue space Lp(?)(X, μ) into a certain Musielak‐Orlicz space Lp(X, μ) with the N‐function Φ(x, r) defined by the exponent p(x) and the function a(r). A reformulation of the obtained result in terms of the Matuszewska‐Orlicz indices of the function a(r) is also given. © 2011 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim 相似文献