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GENERALIZED MATRIX FUNCTIONS, IRREDUCIBILITY AND EQUALITY
Jafari, Mohammad Hossein,Madadi, Ali Reza Korean Mathematical Society 2014 대한수학회보 Vol.51 No.6
Let $G{\leq}S_n$ and ${\chi}$ be any nonzero complex valued function on G. We first study the irreducibility of the generalized matrix polynomial $d^G_{\chi}(X)$, where $X=(x_{ij})$ is an n-by-n matrix whose entries are $n^2$ commuting independent indeterminates over $\mathbb{C}$. In particular, we show that if $\mathcal{X}$ is an irreducible character of G, then $d^G_{\chi}(X)$ is an irreducible polynomial, where either $G=S_n$ or $G=A_n$ and $n{\neq}2$. We then give a necessary and sufficient condition for the equality of two generalized matrix functions on the set of the so-called ${\chi}$-singular (${\chi}$-nonsingular) matrices.
On the number of cyclic subgroups of a finite group
Mohammad Hossein Jafari,Ali Reza Madadi 대한수학회 2017 대한수학회보 Vol.54 No.6
Let $G$ be a finite group and $m$ a divisor of $|G|.$ We prove that $G$ has at least $\tau(m)$ cyclic subgroups whose orders divide $m$, where $\tau(m)$ is the number of divisors of $m.$
ON THE NUMBER OF CYCLIC SUBGROUPS OF A FINITE GROUP
Jafari, Mohammad Hossein,Madadi, Ali Reza Korean Mathematical Society 2017 대한수학회보 Vol.54 No.6
Let G be a finite group and m a divisor of ${\mid}G{\mid}$. We prove that G has at least ${\tau}(m)$ cyclic subgroups whose orders divide m, where ${\tau}(m)$ is the number of divisors of m.
Generalized matrix functions, irreducibility and equality
Mohammad Hossein Jafari,Ali Reza Madadi 대한수학회 2014 대한수학회보 Vol.51 No.6
Let G ≤ Sn and Χ be any nonzero complex valued function on G. We first study the irreducibility of the generalized matrix polyno- mial dGΧ (X), where X = (xij ) is an n-by-n matrix whose entries are n2 commuting independent indeterminates over C. In particular, we show that if Χ is an irreducible character of G, then dGΧ (X) is an irreducible polynomial, where either G = Sn or G = An and n 6= 2. We then give a necessary and sufficient condition for the equality of two generalized matrix functions on the set of the so-called Χ-singular (Χ-nonsingular) matrices.
Effect of Processing Parameters and Glycerin Addition on the Properties of Al Foams
Hossein Gilani,Sajjad Jafari,Roozbeh Gholami,Ali Habibolahzadeh,Mohammad Mirshahi 대한금속·재료학회 2012 METALS AND MATERIALS International Vol.18 No.2
Aluminum foam has been produced by sintering and dissolution processes using NaCl powders as a space holder. In this research, glycerin is used as a novel lubricant along with acetone. The effects of the processing parameters including compacting pressure, sintering temperatures (620, 640 and 650 °C), size, and volume fraction of the space holder, on the physical and mechanical properties of the produced foams have been investigated. Due to segregation of the Al and NaCl powders at high compaction pressures, spalling of Al foams was observed. Meanwhile, adding small amounts of acetone and glycerin to the mixture ensures homo-geneity and prevents segregation of dissimilar powders at varying pressure. Moreover, the addition of glycerin provides an improved homogenous stress distribution within the produced foams during mechanical testing,which in turn halts crack propagation. Meanwhile, an alternative technique to remove NaCl particles during the dissolution stage has been proposed. The results showed that high quality foams were successfully produced under a compaction pressure range of 250-265 MPa and sintering temperature of 650 °C.
Hossein Esmaeili,Rauf Foroutan,Dariush Jafari,Mohammad Aghil Rezaei 한국화학공학회 2020 Korean Journal of Chemical Engineering Vol.37 No.5
The removal efficiency of phosphate ion from aqueous media using magnesium oxide/iron molybdate (MgO/Fe2(MoO4)3) nanocomposite was investigated. MgO nanoparticles were chemically modified by ferric molybdate. Then, the structure and morphology of the nanocomposite was completely investigated using different analyses such as SEM, EDX/Map, FTIR, XRD, TGA, BET, and TEM. The TEM analysis demonstrated that the particles in the mentioned nano-composite were on a nanoscale. BET analysis proved that the nanocomposite was mesoporous with mean pore size of 9.4 nm. The sorption outcomes demonstrated that the highest phosphate sorption yield was achieved at 98.38%, exhibiting remarkable sorption efficiency. Carbonate ions showed to have the highest interfering impact compared to sulfate and nitrate ions, since phosphate ion removal efficiency decreased significantly when carbonate and phosphate ions were simultaneously available in the solution. The thermodynamic studies demonstrated that the current sorption process was spontaneous, possible, and exothermic. The sorption equilibrium investigation showed that the Freundlich isotherm model can describe the adsorption of phosphate ion better than can the Langmuir model, and the maximum sorption capacity was obtained as 30.21mg/g. Additionally, the adsorbent was successfully regenerated four times and was able to perform the sorption and desorption process well.
( Nastaran Payandeh ),( Hossein Shahinfar ),( Mohammad Reza Amini ),( Alireza Jafari ),( Maryam Safabakhsh ),( Hossein Imani ),( Sakineh Shab-bidar ) 한국임상영양학회 2021 Clinical Nutrition Research Vol.10 No.2
Our purpose was to assess the association between plant-based dietary patterns and breast cancer (BrCa) among Iranian women. This hospital-based case-control study included 150 newly diagnosed BrCa cases and 150 age-matched controls from the Cancer Research Center, Imam Khomeini hospital, Iran. Three indices of a plant-based diet were first calculated: plant-based diet index (PDI), the healthy PDI (hPDI), and the unhealthy PDI (uPDI). In the overall PDI, all plant foods scored positively. In hPDI and uPDI, healthy and less healthy plant foods scored positive, respectively. The adjusted odds ratio (OR) in the highest adherence of PDI was 1.00 (95% confidence interval [CI], 0.55-1.83). In hPDI, 0.89 (95% CI, 0.49-1.62); in uPDI, 1.80 (95% CI, 0.95-3.42). The adjusted OR after subgroup analysis for body mass index (BMI) was as follow, BMI > 25: 0.77(95% CI, 0.37-1.61) comparing highest with the lowest tertile of PDI, 0.91(95% CI, 0.44-1.89) comparing highest with the lowest tertile of hPDI and this value for uPDI was 2.04 (95% CI, 0.91-4.56). BMI < 25: OR for top tertile of PDI was 1.82 (95% CI, 0.48-6.93), top tertile of hPDI was 1.47 (95% CI, 0.35-6.22) and top tertile of uPDI was 2.29 (95% CI, 0.54-9.70). Our results revealed no significant association between none of the PDIs and the chance of BrCa in Iranian women. Continued and expanded research, evaluated by different methods and BrCa is urgently needed to build the foundation for future progress in evidence-based public health efforts.
Amirnia, Mehdi,Ranjkesh, Mohammad-Reza,Azimpouran, Mahzad,Karkon-Shayan, Farid,Alikhah, Hossein,Jafari-Asl, Mohammadali,Piri, Reza,Naghavi-Behzad, Mohammad Asian Pacific Journal of Cancer Prevention 2016 Asian Pacific journal of cancer prevention Vol.17 No.1
Background: Dermatoscopy can be applied to diagnose pigmented skin lesions. The aim of the present study was to compare dermatoscopic and histopathologic results in basal cell carcinoma (BCC) and melanocytic nevus of theface. Materials and Methods: In an analytical-descriptive study, 61 patients suspected of BCC or melanocytic nevi of face were randomly selected. The skin lesions of patients were evaluated with dermatoscopic method from February 2012 to February 2014 and results were compared with pathological features of samples. Results: In this study, mean age of patients was $49.5{\pm}18.9$. Some 25 (41%) were men and 36 (59%) were women. In 27 cases (44.3%) there was diagnosis of melanocytic nevus, in 28 cases (45.9%) diagnosis of BCC, and in 3 cases (4.9%) there was mixed diagnosis. The relationship between patients' gender and dermatoscopic diagnosis of the patients was statistically significant (P=0.001). For BCC the sensitivity and specificity of dermatoscopic method were 100% and 97% respectively and for melanocytic nevi 96.4% and 97%. Conclusions: Dermatoscopic study not only can be helpful in improving clinical diagnosis while guiding missed malignant lesions to pathologic evaluations, but also could be useful in evaluating further suspicious or recurrent cases.
Mohseny, Maryam,Amanpour, Farzaneh,Mosavi-Jarrahi, Alireza,Jafari, Hossein,Moradi-Joo, Mohammad,Monfared, Esmat Davoudi Asian Pacific Journal of Cancer Prevention 2016 Asian Pacific journal of cancer prevention Vol.17 No.no.sup3
Breast cancer is one of the most common causes of cancer mortality in Iran. Social determinants of health are among the key factors affecting the pathogenesis of diseases. This cross-sectional study aimed to determine the social determinants of breast cancer survival time with parametric and semi-parametric regression models. It was conducted on male and female patients diagnosed with breast cancer presenting to the Cancer Research Center of Shohada-E-Tajrish Hospital from 2006 to 2010. The Cox proportional hazard model and parametric models including the Weibull, log normal and log-logistic models were applied to determine the social determinants of survival time of breast cancer patients. The Akaike information criterion (AIC) was used to assess the best fit. Statistical analysis was performed with STATA (version 11) software. This study was performed on 797 breast cancer patients, aged 25-93 years with a mean age of 54.7 (${\pm}11.9$) years. In both semi-parametric and parametric models, the three-year survival was related to level of education and municipal district of residence (P<0.05). The AIC suggested that log normal distribution was the best fit for the three-year survival time of breast cancer patients. Social determinants of health such as level of education and municipal district of residence affect the survival of breast cancer cases. Future studies must focus on the effect of childhood social class on the survival times of cancers, which have hitherto only been paid limited attention.
Mirmalek, Seyed Abbas,Jangholi, Ehsan,Jafari, Mohammad,Yadollah-Damavandi, Soheila,Javidi, Mohammad Amin,Parsa, Yekta,Parsa, Tina,Salimi-Tabatabaee, Seyed Alireza,Kolagar, Hossein Ghasemzadeh,Jalil, S Asian Pacific Journal of Cancer Prevention 2016 Asian Pacific journal of cancer prevention Vol.17 No.no.sup3
Breast cancer is the most common malignancy and also the second leading cause of cancer death among women and also in women that have a high mortality. Previous studies showed that magnesium (Mg) has cytotoxic effects on malignant cell lines. However, the anti-cancer effects of Mg on MCF-7 breast cancer cells are uncertain. This study was aimed at the comparison of the cytotoxic effect of Mg salt (MgCl2) and cisplatin on MCF-7 cells and fibroblasts (as normal cells). After treatment with various concentrations of MgCl2, and cisplatin as a positive control for 24 and 48 hours (h), cytotoxicity activity was measured by MTT assay. In addition, apoptosis was determined by annexin V/propidium iide assay. Both cisplatin and the MgCl2 exhibited dose-dependent cytotoxic effects in the MCF-7 cell line, although the LD50 of the Mg was significantly higher when compared to cispaltin ($40{\mu}g/ml$ vs. $20{\mu}g/ml$). Regarding annexin V/propidium results, treatment of MCF-7 cells with LD50 concentrations of cisplatin and Mg showed 59% and 44% apoptosis at 24h, respectively. Finally, the results indicated that Mg has cytotoxic effects on MCF-7 cells, but less than cisplatin as a conventional chemotherapeutic agent. However, regarding the side effects of chemotherapy drugs, it seems that Mg can be considered as a supplement for the treatment of breast cancer.