In this paper, we prove a generalization of Hyers＇ theorem on the sta- bility of approximately additive mapping and a generalization of Badora＇s theorem on approximate ring homomorphism. We also obtain more general ...In this paper, we prove a generalization of Hyers＇ theorem on the sta- bility of approximately additive mapping and a generalization of Badora＇s theorem on approximate ring homomorphism. We also obtain more general stability theorem, which gives stability theorems on Jordan and Lie homomorphisms. The proofs of the theorems in this paper are given following essentially the Hyers-Rassias approach to the stability of the functional equations connected with Ulam＇s problem.展开更多
Objectives： To evaluate the effectiveness and safety of Guipi Decoction（归脾汤, GPD） as an adjunctive in the treatment of depression. Methods： A review of all relevant studies retrieved from a search of the follow...Objectives： To evaluate the effectiveness and safety of Guipi Decoction（归脾汤, GPD） as an adjunctive in the treatment of depression. Methods： A review of all relevant studies retrieved from a search of the following databases were conducted without any language restriction： Excerpt Medica Database（EMBASE）, Pub Med, Cochrane Central Register of Controlled Trials, China National Knowledge Infrastructure（CNKI）, VIP Information, Wanfang Data, and the Chinese Biomedical Literature Database. Papers published until February 2013 were taken into consideration. The analysis was performed using the Cochrane software Revman 5.1. Results： Nine randomized controlled trials involving 620 patients with depression were included in this review. The meta-analysis revealed that compared with antidepressant therapy alone, treatment with a combination of GPD and an antidepressant drug significantly improved the symptoms of depression [weighted mean difference（WMD）： –3.09; 95% confidence interval（CI）： –4.11 to –2.07] and increased the rates of effectiveness（OR： 4.75; 95% CI： 2.66–8.51） as well as recovery（OR： 1.73; 95% CI： 1.17–2.56）. The adverse effects of GPD were not found to be significant in these studies. Conclusions： The findings of this meta-analysis were in keeping with the notion that GPD formulations were effective in the treatment of depression without causing any severe adverse effects. However, currently available evidence was of low quality and therefore inadequate to justify a strong recommendation of using GPD formulations in the management of depression.展开更多
文摘In this paper, we prove a generalization of Hyers＇ theorem on the sta- bility of approximately additive mapping and a generalization of Badora＇s theorem on approximate ring homomorphism. We also obtain more general stability theorem, which gives stability theorems on Jordan and Lie homomorphisms. The proofs of the theorems in this paper are given following essentially the Hyers-Rassias approach to the stability of the functional equations connected with Ulam＇s problem.
基金Supported by the Natural Science Foundation of Hunan Proince(No.14JJ2024)Traditional Chinese Medicine Science Research Foundation of Health Department of Hunan Province,China(No.201346)
文摘Objectives： To evaluate the effectiveness and safety of Guipi Decoction（归脾汤, GPD） as an adjunctive in the treatment of depression. Methods： A review of all relevant studies retrieved from a search of the following databases were conducted without any language restriction： Excerpt Medica Database（EMBASE）, Pub Med, Cochrane Central Register of Controlled Trials, China National Knowledge Infrastructure（CNKI）, VIP Information, Wanfang Data, and the Chinese Biomedical Literature Database. Papers published until February 2013 were taken into consideration. The analysis was performed using the Cochrane software Revman 5.1. Results： Nine randomized controlled trials involving 620 patients with depression were included in this review. The meta-analysis revealed that compared with antidepressant therapy alone, treatment with a combination of GPD and an antidepressant drug significantly improved the symptoms of depression [weighted mean difference（WMD）： –3.09; 95% confidence interval（CI）： –4.11 to –2.07] and increased the rates of effectiveness（OR： 4.75; 95% CI： 2.66–8.51） as well as recovery（OR： 1.73; 95% CI： 1.17–2.56）. The adverse effects of GPD were not found to be significant in these studies. Conclusions： The findings of this meta-analysis were in keeping with the notion that GPD formulations were effective in the treatment of depression without causing any severe adverse effects. However, currently available evidence was of low quality and therefore inadequate to justify a strong recommendation of using GPD formulations in the management of depression.
