共查询到20条相似文献,搜索用时 46 毫秒
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数学课标中明确提出:"数学教学活动要注重课程目标的整体实现……注重学生对基础知识、基本技能的理解和掌握,引导学生积累数学活动经验、感悟数学思想,关注学生情感态度的发展."近日,笔者参与了"曲边梯形面积的计算"一课的课堂观摩、课后评议和教学再设计的全过程,聆听了市、区数学教研室老师的点评,对本节课如何有效落实教学目标有了更为深入的认识与思考. 相似文献
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We calculate the ordinal L p index defined in [3] for Rosenthal’s space X p , \({\ell_p}\) and \({\ell_2}\). We show that an infinite-dimensional subspace of L p \({(2 < p < \infty)}\) non-isomorphic to \({\ell_2}\) embeds in \({\ell_p}\) if and only if its ordinal index is the minimal possible. We also give a sufficient condition for a \({\mathcal{L}_p}\) subspace of \({\ell_p \oplus \ell_2}\) to be isomorphic to X p . 相似文献
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Jing XU LMAM School of Mathematical Sciences Peking University Beijing China 《中国科学A辑(英文版)》2007,50(12):1673-1679
In this paper we give a classification of the orientable regular embeddings of Q_n for n=2m with m odd.Actually we prove that the known examples given by Kwon are the only regular maps of Q_n when n=2m (m odd). 相似文献
14.
Moshe Marcus 《Journal d'Analyse Mathématique》2012,117(1):187-220
We study the equation −Δu + u q = 0, q > 1, in a bounded C 2 domain Ω ⊂ ℝ N . A positive solution of the equation is moderate if it is dominated by a harmonic function and σ-moderate if it is the limit of an increasing sequence of moderate solutions. It is known that in the subcritical case, 1 < q <, q c = (N + 1)/(N − 1), every positive solution is σ-moderate [32]. More recently, Dynkin proved, by probabilistic methods, that this remains valid in the supercritical case for q ≤ 2, [15]. The question remained open for q > 2. In this paper, we prove that for all q ≥ q c , every positive solution is σ-moderate. We use purely analytic techniques, which apply to the full supercritical range. The main tools come from linear and non-linear potential theory. Combined with previous results, our result establishes a one-to-one correspondence between positive solutions and their boundary traces in the sense of [36]. 相似文献
15.
Ling-yun Gao 《应用数学学报(英文版)》2008,24(2):211-220
Using value distribution theory and techniques in several complex variables,we investigate the problem of existence of m components-admissible solutions of a class of systems of higher-order partial differential equations in several complex variables and estimate the number of admissible components of solutions.Some related results will also be obtained. 相似文献
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N. V. Parfinovych 《Ukrainian Mathematical Journal》2005,57(10):1652-1662
We determine the exact order of relative widths of classes W
1
r
of periodic functions in the space L
1 as n → ∞ under restrictions on higher derivatives of approximating functions.
__________
Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 57, No. 10, pp. 1409–1417, October, 2005. 相似文献
17.
Emrah Kilic 《Proceedings Mathematical Sciences》2008,118(1):27-41
In this paper, we consider generalized Fibonacci type second order linear recurrence {u
n
}. We derive a generating matrix for both the sums of squares, ∑
i=0
n
u
i
2 and the products of the form u
n
u
n+2. We also derive explicit formulas for the sums and products by using matrix methods. Then we give a matrix method to generate
the sums of product of two consecutive terms u
n
u
n+1 as well as the product, u
n
u
n+2. Further we give generating functions and combinatorial representations of the sums of squares of terms of {u
n
} and the product, u
n
u
n+2. 相似文献
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A subgroup K of G is M p -supplemented in G if there exists a subgroup B of G such that G = KB and TB < G for every maximal subgroup T of K with |K: T| = p α. We study the structure of the chief factor of G by using M p -supplemented subgroups and generalize the results of Monakhov and Shnyparkov by involving the relevant results about the p-modular subgroup O p (G) of G. 相似文献
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Florian Herzig 《Inventiones Mathematicae》2011,186(2):373-434
Let F be a finite extension of ℚ
p
. Using the mod p Satake transform, we define what it means for an irreducible admissible smooth representation of an F-split p-adic reductive group over
[`( \mathbbF)]p\overline{ \mathbb{F}}_{p} to be supersingular. We then give the classification of irreducible admissible smooth GL
n
(F)-representations over
[`( \mathbbF)]p\overline{ \mathbb{F}}_{p} in terms of supersingular representations. As a consequence we deduce that supersingular is the same as supercuspidal. These results generalise the work of Barthel–Livné for n=2. For general split reductive groups we obtain similar results under stronger hypotheses. 相似文献
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Florentina Chirte§ 《Central European Journal of Mathematics》2005,3(1):105-124
The aim of this paper is to define the localization LM
n
-algebra of an LM
n
—algebra L with respect to a topology F on L; in Section 5 we prove that the maximal LM
n
-algebra of fractions (defined in [3]) and the LM
n
-algebra of fractions relative to an Λ—closed system (defined in Section 2) are LM
n
-algebras of localization. 相似文献