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A NEW PROOF OF THE WEAK(1,n/n-a)INEQUALITY FOR THE FRACTIONAL MAXIMAL OPERATORS
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作者 WANG Jie 《数学杂志》 2025年第3期213-217,共5页
In this paper,we provide an alternative proof of the weak type(1,n/n-a)inequality for the fractional maximal operators.By using the discretization technique,we can get the main result,which shows that the weak type(1,... In this paper,we provide an alternative proof of the weak type(1,n/n-a)inequality for the fractional maximal operators.By using the discretization technique,we can get the main result,which shows that the weak type(1,n/n-a)bound of M_(α)is at worst 2^(n-a).The weak type(1,n/n-a)bound of M_(α)can be estimated more directly and easily in this method,which is different from the usual ways. 展开更多
关键词 Hardy-Littlewood maximal operator fractional maximal operators Dirac deltas discrete method
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The Influence of Second Maximal Subgroups on the Structure of Group Class J_(pr)
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作者 Lin YANG Wei LIU +1 位作者 Shuqin DONG Hongwei BAO 《Journal of Mathematical Research with Applications》 2025年第5期629-636,共8页
In this paper,we introduce the set of maximal subgroups with non-trivial core and their corresponding second maximal subgroups.A correlation characterization of the group class J_(pr)is presented by establishing the r... In this paper,we introduce the set of maximal subgroups with non-trivial core and their corresponding second maximal subgroups.A correlation characterization of the group class J_(pr)is presented by establishing the relationship between the core and the second maximal subgroups in these classifications. 展开更多
关键词 maximal subgroups second maximal subgroups group class J_(pr)
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Investigating maximal steered coherence under the common impacts of reservoir and noise
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作者 Ling-Ling Xing Huan Yang Gang Zhang 《Chinese Physics B》 2025年第5期230-235,共6页
Maximal steered coherence(MSC)is a noteworthy resource measure in the field of quantum information,and it is defined under the framework of coherence measure and the formalism of quantum steering ellipsoids(QSEs).Here... Maximal steered coherence(MSC)is a noteworthy resource measure in the field of quantum information,and it is defined under the framework of coherence measure and the formalism of quantum steering ellipsoids(QSEs).Here,we explore the MSC of a two-qubit X state under the common influences of reservoir and noise.The results disclose that the introduction of auxiliary qubits can give rise to enhancement of the MSC in both the strong and weak coupling regimes.Moreover,more auxiliary qubits can decrease the oscillation period of the MSC,and also suppress the oscillation amplitude of the MSC in the strong coupling regime.In contrast,the increases in auxiliary qubits result in the oscillation of the MSC for the setting of the initially weak coupling regime.Of particular interest is that the improvement effects of more auxiliary qubits on the MSC in the initially weak coupling regime are significantly stronger than that in the initially strong coupling regime. 展开更多
关键词 maximal steered coherence quantum steering ellipsoid RESERVOIR noise
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The Boundedness of Hardy-Littlewood Maximal Operator Associated withψ-Rectangles
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作者 Jie ZHAO Canqin TANG +1 位作者 Kuikui LIU Suqing WU 《Journal of Mathematical Research with Applications》 2025年第4期488-500,共13页
In this paper,the authors establish the boundedness of Hardy-Littlewood maximal operators M^(ψ)associated withψ-rectangles on weighted Lebesgue spaces and on two kinds of Lorentz spaces with variable exponent,as wel... In this paper,the authors establish the boundedness of Hardy-Littlewood maximal operators M^(ψ)associated withψ-rectangles on weighted Lebesgue spaces and on two kinds of Lorentz spaces with variable exponent,as well as its corresponding Fefferman-Stein inequalities.All of these generalize the corresponding results in classical case. 展开更多
关键词 Hardy-Littlewood maximal operator Lorentz space variable exponent
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The Intersection of a Maximal Intransitive Subgroup with a Maximal Imprimitive Subgroup
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作者 张勤海 《Northeastern Mathematical Journal》 CSCD 2001年第2期181-188,共8页
In this paper, we investegate the intersection of a maximal intransitive subgroup with a maximal imprimitive subgroup. And, the structure of the second maximal intransitive subgroup of an alternating group is determined.
关键词 second maximal subgroup maximal intransitive subgroup maximal imprimitive subgroup.
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Lower bound on BER performance for maximal ratio combining with weighting errors 被引量:1
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作者 盛彬 尤肖虎 《Journal of Southeast University(English Edition)》 EI CAS 2005年第4期379-384,共6页
The theoretical lower bounds on mean squared channel estimation errors for typical fading channels are presented by the infinite-length and non-causal Wiener filter and the exact closed-form expressions of the lower b... The theoretical lower bounds on mean squared channel estimation errors for typical fading channels are presented by the infinite-length and non-causal Wiener filter and the exact closed-form expressions of the lower bounds for different channel Doppler spectra are derived. Based on the obtained lower bounds on mean squared channel estimation errors, the limits on bit error rate (BER) for maximal ratio combining (MRC) with Gaussian distributed weighting errors on independent and identically distributed (i. i. d) fading channels are presented. Numerical results show that the BER performances of ideal MRC are the lower bounds on the BER performances of non-ideal MRC and deteriorate as the maximum Doppler frequency increases or the SNR of channel estimate decreases. 展开更多
关键词 lower bound bit error rate minimum mean-square error channel estimation maximal ratio combining
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MODEL SELECTION METHOD BASED ON MAXIMAL INFORMATION COEFFICIENT OF RESIDUALS 被引量:4
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作者 谭秋衡 蒋杭进 丁义明 《Acta Mathematica Scientia》 SCIE CSCD 2014年第2期579-592,共14页
The traditional model selection criterions try to make a balance between fitted error and model complexity. Assumptions on the distribution of the response or the noise, which may be misspecified, should be made befor... The traditional model selection criterions try to make a balance between fitted error and model complexity. Assumptions on the distribution of the response or the noise, which may be misspecified, should be made before using the traditional ones. In this ar- ticle, we give a new model selection criterion, based on the assumption that noise term in the model is independent with explanatory variables, of minimizing the association strength between regression residuals and the response, with fewer assumptions. Maximal Information Coe^cient (MIC), a recently proposed dependence measure, captures a wide range of associ- ations, and gives almost the same score to different type of relationships with equal noise, so MIC is used to measure the association strength. Furthermore, partial maximal information coefficient (PMIC) is introduced to capture the association between two variables removing a third controlling random variable. In addition, the definition of general partial relationship is given. 展开更多
关键词 Model Selection RESIDUAL maximal information coefficient partial maximalinformation coefficient
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Decompesition of Kernel and Maximal Generalized Bochner-Riesz Means 被引量:1
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作者 陆善镇 《Chinese Quarterly Journal of Mathematics》 CSCD 1989年第1期23+16-22,共8页
设l∈N,δ=k/p-k+1/2,以及<p<1.本文的主要结果是建立广义BochnerRiesz平均的核的某种分解: ((1-|ξ|~l)~σ+)^(x)=sum from f=1 to J(k,l,p) b_f((1-|ξ|~2)ь+ζ)^(x)+T(|x|),其中T满足 T^(n+1)(s)≤cmin{(1+s)_(k-n-2),(1+s)^(... 设l∈N,δ=k/p-k+1/2,以及<p<1.本文的主要结果是建立广义BochnerRiesz平均的核的某种分解: ((1-|ξ|~l)~σ+)^(x)=sum from f=1 to J(k,l,p) b_f((1-|ξ|~2)ь+ζ)^(x)+T(|x|),其中T满足 T^(n+1)(s)≤cmin{(1+s)_(k-n-2),(1+s)^(-k,p)},0<s<∞以及n=[K(1/p-1)]·作为上述分解的一个直接结果,我们得到:临界阶广义Bochner-Riesz平均在H^p(R^k)上的a.e.收敛性。 展开更多
关键词 RIESZ satisfying maximal 数学季刊 proof ARGUMENT KERNEL implies INEQUALITY uniquely
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Mining maximal pattern-based subspace clusters in high dimensional space
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作者 卢炎生 胡蓉 +1 位作者 邹磊 周翀 《Journal of Southeast University(English Edition)》 EI CAS 2006年第4期490-495,共6页
The problem of pattern-based subspace clustering, a special type of subspace clustering that uses pattern similarity as a measure of similarity, is studied. Unlike most traditional clustering algorithms that group the... The problem of pattern-based subspace clustering, a special type of subspace clustering that uses pattern similarity as a measure of similarity, is studied. Unlike most traditional clustering algorithms that group the close values of objects in all the dimensions or a set of dimensions, clustering by pattern similarity shows an interesting pattern, where objects exhibit a coherent pattern of rise and fall in subspaces. A novel approach, named EMaPle to mine the maximal pattern-based subspace clusters, is designed. The EMaPle searches clusters only in the attribute enumeration spaces which are relatively few compared to the large number of row combinations in the typical datasets, and it exploits novel pruning techniques. EMaPle can find the clusters satisfying coherent constraints, size constraints and sign constraints neglected in MaPle. Both synthetic data sets and real data sets are used to evaluate EMaPle and demonstrate that it is more effective and scalable than MaPle. 展开更多
关键词 subspace clustering pattern similarity maximal pattern-based subspace clusters
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Aggregating metasearch engine results based on maximal entropy OWA operator
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作者 桑秀芝 刘新旺 《Journal of Southeast University(English Edition)》 EI CAS 2013年第2期139-144,共6页
The maximal entropy ordered weighted averaging (ME-OWA) operator is used to aggregate metasearch engine results, and its newly analytical solution is also applied. Within the current context of the OWA operator, the... The maximal entropy ordered weighted averaging (ME-OWA) operator is used to aggregate metasearch engine results, and its newly analytical solution is also applied. Within the current context of the OWA operator, the methods for aggregating metasearch engine results are divided into two kinds. One has a unique solution, and the other has multiple solutions. The proposed method not only has crisp weights, but also provides multiple aggregation results for decision makers to choose from. In order to prove the application of the ME-OWA operator method, under the context of aggregating metasearch engine results, an example is given, which shows the results obtained by the ME-OWA operator method and the minimax linear programming ( minimax-LP ) method. Comparison between these two methods are also made. The results show that the ME-OWA operator has nearly the same aggregation results as those of the minimax-LP method. 展开更多
关键词 maximal entropy ordered weighted averagingoperator minimax linear programming metasearch engine information aggregation
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Maximal Flow在京津冀公路交通网络管理中的应用
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作者 王佳 《统计与决策》 CSSCI 北大核心 2011年第22期170-172,共3页
Maximal Flow是运筹学中应用极为广泛的解决网络流量最大问题的理论。文章应用其研究思想,采用Ford-Fulkerson标号法,研究京津冀经济区公路交通网络的最大流通能力问题,并找出影响交通网络流量的最为关键的路段,为更好管理京津冀交通网... Maximal Flow是运筹学中应用极为广泛的解决网络流量最大问题的理论。文章应用其研究思想,采用Ford-Fulkerson标号法,研究京津冀经济区公路交通网络的最大流通能力问题,并找出影响交通网络流量的最为关键的路段,为更好管理京津冀交通网络提供合理的理论指导。 展开更多
关键词 maximal FLOW Ford-Fulkerson标号法 交通网络 京津冀
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On S-acts containing no maximal S-subacts
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作者 石小平 《Journal of Southeast University(English Edition)》 EI CAS 2006年第4期593-596,共4页
Let S be a semigroup and let A be an S-act. Some necessary and sufficient conditions that S-subacts of A are maximal S-subacts are given. A relation B which is similar to the Green relation in semigroups is defined. B... Let S be a semigroup and let A be an S-act. Some necessary and sufficient conditions that S-subacts of A are maximal S-subacts are given. A relation B which is similar to the Green relation in semigroups is defined. By the relation B, it is proved that a non-empty set L of A is a maximal S-subact if and only if A/L is a (maximal) B-class. Finally, the concept of a C-subact is defined, some properties of C-subacts are discussed, and it is proved that A contains no maximal S-subacts if and only if every cyclic S-subact of A is a C-subact. Consequently, the results obtained by Imrich Fabrici that semigroups contain no maximal (left) ideals are the corollary of this paper. 展开更多
关键词 S-ACT maximal subact C-subact
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Upper Bounds for the L_p-norms of the Maximal Functions of Martingales
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作者 曾六川 《Chinese Quarterly Journal of Mathematics》 CSCD 2002年第1期77-84,共8页
Let 2≤p【∞ and let (f n) be a martingale. Using exponential bounds of the probabilities of the type P(|f n|】λ‖T(f n)‖ ∞) for some quasi-linear operators acting on martingales, we estimate upper bounds for t... Let 2≤p【∞ and let (f n) be a martingale. Using exponential bounds of the probabilities of the type P(|f n|】λ‖T(f n)‖ ∞) for some quasi-linear operators acting on martingales, we estimate upper bounds for the L p-norms of the maximal functions of martinglaes. Our result is the extension and improvements of the results obtained previously by HITCZENKO and ZENG . 展开更多
关键词 MARTINGALE stopping time maximal function L p-norm
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TWO GENERALIZATIONS OF HARDY-LITTLEWOOD MAXIMAL OPERATOR
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作者 Gao Hongya Zhao Hongliang 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2006年第1期59-63,共5页
Two generalizations of Hardy-Littlewood maximal operator are considered. Some estimates for them are obtained.
关键词 Hardy-Littlewood maximal operator weak maximal operator spherical average Morrey type operator outer Hausdorff measure.
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W ^(1,p)(R^n)-BOUNDEDNESS FOR MAXIMAL FUNCTIONS
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作者 Li Cheng Department of Mathematics Lishui University Lishui, 323000P. R. China 《Analysis in Theory and Applications》 2009年第1期86-91,共6页
In this paper, we get W 1,p(Rn)-boundedness for tangential maximal func- tion and nontangential maximal function , which improves J.Kinnunen, P.Lindqvist and Tananka’s results.
关键词 tangential maximal function nontangential maximal function W 1 p(Rn)- boundedness
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On ζ_s -Quasinormality of 2-Maximal Subgroups
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作者 Yufeng LIU Xiaolong YU Lijun HUO 《Journal of Mathematical Research with Applications》 CSCD 2013年第4期412-418,共7页
Let F be a class of finite groups. A subgroup H of a finite group G is said to be Fs-quasinormal in G if there exists a normal subgroup T of G such that HT is s-permutable in G and (H/cap T)HG/HG is contained in th... Let F be a class of finite groups. A subgroup H of a finite group G is said to be Fs-quasinormal in G if there exists a normal subgroup T of G such that HT is s-permutable in G and (H/cap T)HG/HG is contained in the F-hypercenter ZF∞ (G/HG) of G/HG. In this paper, we use Fs-quasinormal subgroups to study the structure of finite groups. Some new results are obtained. 展开更多
关键词 Fs-quasinormal subgroup Sylow subgroup maximal subgroup 2-maximal sub-group
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On Maximal, Discrete, and Area Operators
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作者 Chunping Xie 《Journal of Mathematics and System Science》 2015年第1期26-31,共6页
In this paper, we study the boundednesses of maximal operator g., the discrete operator gd, and the area operator A on Bergman spaces.
关键词 Area operator Bergman Space Discrete maximal operator Hardy Space maximal operator
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Efficacy of maximal androgen blockade versus castration alone in the treatment of advanced prostate cancer: a retrospective clinical experience from a Chinese medical centre 被引量:10
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作者 Xue-Qin Chen Ying Huang +8 位作者 Xiang Li Peng Zhang Rui Huang Juan Xia Ni Chen Qiang Wei Yu-Chun Zhu Yu-Ru Yang Hao Zeng 《Asian Journal of Andrology》 SCIE CAS CSCD 2010年第5期718-727,共10页
In this retrospective study, we evaluated and compared the efficacy and toxicities of maximal androgen blockade (MAB) versus castration alone in Chinese patients with advanced prostate cancer. From 1996 to 2004, 608... In this retrospective study, we evaluated and compared the efficacy and toxicities of maximal androgen blockade (MAB) versus castration alone in Chinese patients with advanced prostate cancer. From 1996 to 2004, 608 patients with advanced prostate cancer were included in the study. Patients were retrospectively divided into two groups according to different therapeutic regimens. Of the 608 patients, 300 patients were treated with MAB (castration plus nonsteroidal antiandrogens) and the remaining 308 were treated with castration alone. The 2- and 5-year overall survival rates of these patients were 73.7% and 56%, respectively. Multivariate analysis showed that, in patients with metastatic prostate cancer, MAB was associated with not only the improvement of progression-free survival (PFS) (increased by 10 months) but also a 20.6% reduction in mortality risk compared with castration alone. In contrast, the efficacy of MAB was not superior to castration alone for patients with nonmetastatic prostate cancer. Interestingly, among patients with MAB, those using bicalutamide had a longer PFS than those using flutamide; this was especially so in patients with metastatic prostate cancer. Almost all of the toxicities due to the hormone therapy were mild to moderate and manageable. To conclude, in China, hormone therapies, including MAB and castration alone, have been standard treatments for advanced prostate cancer. For patients with nonmetastatic prostate cancer, castration alone might be adequately practical and efficient. In patients with metastatic prostate cancer, however, MAB has superior efficacy over castration alone. It is clear that MAB should be considered the first-line standard treatment for patients with metastatic prostate cancer. 展开更多
关键词 BICALUTAMIDE castration alone maximal androgen blockade prostate cancer
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Value of shear wave elastography with maximal elasticity in differentiating benign and malignant solid focal liver lesions 被引量:14
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作者 Hui-Ping Zhang Ji-Ying Gu +3 位作者 Min Bai Fan Li Yu-Qing Zhou Lian-Fang Du 《World Journal of Gastroenterology》 SCIE CAS 2020年第46期7416-7424,共9页
BACKGROUND It is important to differentiate benign and malignant focal liver lesions(FLLs)accurately.Despite the wide use and acceptance of shear wave elastography(SWE),its value for assessing the elasticity of FLLs a... BACKGROUND It is important to differentiate benign and malignant focal liver lesions(FLLs)accurately.Despite the wide use and acceptance of shear wave elastography(SWE),its value for assessing the elasticity of FLLs and differentiating benign and malignant FLLs is still investigational.Previous studies of SWE for FLLs used mean elasticity as the parameter to reflect the stiffness of FLLs.Considering the inhomogeneity of tumor stiffness,maximal elasticity(Emax)might be the suitable parameter to reflect the stiffness of FLLs and to differentiate malignant FLLs from benign ones.AIM To explore the value of SWE with Emax in differential diagnosis of solid FLLs.METHODS We included 104 solid FLLs in 95 patients and 50 healthy volunteers.All the subjects were examined using conventional ultrasound(US)and virtual touch tissue quantification(VTQ)imaging.A diagnosis of benign or malignant FLL was made using conventional US.Ten VTQ values were acquired after 10 consecutive measurements for each FLL and each normal liver,and the largest value was recorded as Emax.RESULTS There were 56 cases of malignant FLLs and 48 cases of benign FLLs in this study.Emax of malignant FLLs(3.29±0.88 m/s)was significantly higher than that of benign FLLs(1.30±0.46 m/s,P<0.01)and that of livers in healthy volunteers(1.15±0.17 m/s,P<0.01).The cut-off point of Emax was 1.945,and the area under the curve was 0.978.The sensitivity and specificity of Emax were 92.9%and 91.7%,respectively,higher(but not significantly)than those of conventional US(80.4%for sensitivity and 81.3%for specificity).Combined diagnosis of conventional US and Emax using parallel testing improved the sensitivity to 100%with specificity of 75%.CONCLUSION SWE is a convenient and easy method to obtain accurate stiffness information of solid FLLs.Emax is useful for differential diagnosis of FLLs,especially in combination with conventional US. 展开更多
关键词 Focal hepatic lesions Shear wave elastography Conventional ultrasound maximal elasticity
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Sources and significance of variation in basal,summit and maximal metabolic rates in birds 被引量:7
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作者 Andrew E. MCKECHNIE David L. SWANSON 《Current Zoology》 SCIE CAS CSCD 北大核心 2010年第6期741-758,共18页
The rates at which birds use energy may have profound effects on fitness, thereby influencing physiology, behavior, ecology and evolution. Comparisons of standardized metabolic rates (e.g., lower and upper limits of ... The rates at which birds use energy may have profound effects on fitness, thereby influencing physiology, behavior, ecology and evolution. Comparisons of standardized metabolic rates (e.g., lower and upper limits of metabolic power output) present a method for elucidating the effects of ecological and evolutionary factors on the interface between physiology and life history in birds. In this paper we review variation in avian metabolic rates [basal metabolic rate (BMR; minimum normothermic metabolic rate), summit metabolic rate (Msum; maximal thermoregulatory metabolic rate), and maximal metabolic rate (MMR; maximal exercise metabolic rate)], the factors associated with this variation, the evidence for functional links between these metabolic traits, and the ecological and evolutionary significance of avian metabolic diversity. Both lower and upper limits to metabolic power production are phenotypically flexible traits, and vary in association with numerous ecological and evolutionary factors. For both inter- and intraspecific comparisons, lower and upper limits to metabolic power production are generally upregulated in response to energetically demanding conditions and downregulated when energetic demands are relaxed, or under conditions of energetic scarcity. Positive correlations have been documented between BMR, Msum and MMR in some, but not all studies on birds, providing partial support for the idea of a functional link between lower and upper limits to metabolic power production, but more intraspecific studies are needed to determine the robustness of this conclusion. Correlations between BMR and field metabolic rate (or daily energy expenditure) in birds are variable, suggesting that the linkage between these traits is subject to behavioral adjustment, and studies of the relationship between field and maximal metabolic rates are lacking. Our understanding of avian metabolic diversity would benefit from future studies of: (1) the functional and mechanistic links between lower and upper limits of metabolic power output; (2) the environmental and ecological cues driving phenotypically flexible metabolic responses, and how responses to such cues might impact population responses to climate change; (3) the shapes of metabolic reaction norms and their association with environmental variability; and (4) the relationship of metabolic variation to fitness, including studies of repeatability and heritability of minimum and maximum metabolic power output [Current Zoology 56 (6): 741-758, 2010]. 展开更多
关键词 Phenotypic flexibility Reaction norms Basal metabolic rate maximal metabolic rate BIRDS
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