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RISS 인기검색어
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- 저자 : Ishfaq Mir (검색결과 6 건)
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Ishfaq Ahmad Mir,Aijaz A. Bhat,M. Sreeprabash,V. Sridhar,K.V. Maruthi 한국지질과학협의회 2022 Geosciences Journal Vol.26 No.6
Geochemical study of 195 stream sediment samples (in less than 75 μm grain size) distributed in parts of Belgaum, Dharwad, and Uttar Kanada districts (bounded by latitudes from15°15'00'' to 15°30'00'' and longitudes from 74°30'00'' to 74°45'00'') were studied for the major oxide, trace and rare earth element content. The objective of this study is to understand the recent sedimentary environment by establishing the generalized climatic conditions, chemical weathering, sediment sorting and recycling, sediment sources, and the tectonic setting of the study area. Geochemical signatures of the sediments indicate a semi-arid to the moist climate in the study area. Geochemical proxies show that annual rainfall in the study area varies from 378 to 692 mm, higher in the western part compared to that in the eastern side. The chemical index of alteration (67.70–94.01) and chemical index of weathering (76.24–97.37) collectively suggest moderate to high chemical weathering. Studied samples show a wide variation in major oxides and trace elements. Fe2O3, MnO, K2O, P2O5, Rb, Zr, and Sc display a positive correlation with Al2O3 confirming their possible hydraulic fractionation. Zr/Sc vs. Th/Sc plot and correlation between CIA vs. Al2O3 indicate strong sediment recycling and sorting. Bulk geochemistry data suggests the involvement of granite and other felsic rocks, intermediate and mafic rocks as the sources of surface sediments. Our observations are very well matching with the geology of the area. Major and trace element set of discrimination diagrams demarcates the passive margin settings for the studied samples, except for a few samples plotting into an active continental margin tectonic settings.
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On Sendov's conjecture about critical points of a polynomial
Ishfaq Nazir,Mohammad Ibrahim Mir,Irfan Ahmad Wani 강원경기수학회 2021 한국수학논문집 Vol.29 No.4
The derivative of a polynomial $p(z)$ of degree $n$, with respect to point $\alpha$ is defined by $D_{\alpha}p(z)=np(z)+(\alpha-z)p'(z)$. Let $p(z)$ be a polynomial having all its zeros in the unit disk $|z| \leq 1$. The Sendov conjecture asserts that if all the zeros of a polynomial $p(z)$ lie in the closed unit disk, then there must be a zero of $p'(z)$ within unit distance of each zero. In this paper, we obtain certain results concerning the location of the zeros of $D_{\alpha}p(z)$ with respect to a specific zero of $p(z)$ and a stronger result than Sendov conjecture is obtained. Further, a result is obtained for zeros of higher derivatives of polynomials having multiple roots.
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On the zeros of generalized derivative of a polynomial
Ishfaq Nazir,Mohammad Ibrahim Mir,Irfan Ahmad Wani 강원경기수학회 2023 한국수학논문집 Vol.31 No.1
In this paper, we obtain some results concerning the location of zeros of generalized derivatives of polynomials which are analogous to those for the ordinary derivative of polynomials.
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GENERALIZATION OF SOME INEQUALITIES TO THE CLASS OF GENERALIZED DERIVATIVE
( Irfan Ahmad Wani ),( Mohammad Ibrahim Mir ),( Ishfaq Nazir ) 한국수학교육학회 2021 純粹 및 應用數學 Vol.28 No.4
In this paper, we obtain some inequalities concerning the class of generalized derivative and generalized polar derivative which are analogous respectively to the ordinary derivative and polar derivative of polynomials.
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LP−TYPE INEQUALITIES FOR DERIVATIVE OF A POLYNOMIAL
Irfan Ahmad Wani,Mohammad Ibrahim Mir,Ishfaq Nazir 강원경기수학회 2021 한국수학논문집 Vol.29 No.4
For the polynomial $P(z)$ of degree $n$ and having all its zeros in $|z| \leq k$, $k \geq 1$, Jain \cite{j} proved that \begin{align*} \max_{|z|=1} |P^{\prime}(z)|\geq n \frac{|c_0| + |c_n|k^{n+1}}{|c_0|(1+k^{n+1}) + |c_n| ( k^{n+1} + k^{2n})} \max_{|z|=1}|P(z)| . \end{align*} In this paper, we extend above inequality to its integral analogous and there by obtain more results which extended the already proved results to integral analogous.
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Astha Sachan,Archna Singh,Sakshi Shukla,Sandeep Aggarwal,Ishfaq Mir,Rakhee Yadav 대한비만학회 2020 The Korean journal of obesity Vol.29 No.4
Background: Obese adipose tissue secretes a variety of adipocytokines that act as metabolic regulators with complex mechanisms. Our objective was to compare serum concentration of a panel of adipocytokines between obese and non-obese individuals and identify any distinct patterns correlating with insulin sensitivity in obesity. Methods: We designed a cross-sectional study among obese (body mass index [BMI] ≥30 kg/m2, n=62) and non-obese (BMI <25 kg/m2, n=32) individuals to compare circulating levels of the adipokines, such as adiponectin and resistin in conjunction with the measurement of the levels of inflammatory cytokines including C-reactive protein (CRP), interleukin (IL)-6, IL-8, monocyte chemoattractant protein (MCP)-1, and tumor necrosis factor (TNF)-α using Luminex multiplex immunoassay with drop array technology. Correlations between circulating adipocytokine levels and those of multiple well-established markers of insulin resistance including homeostatic model assessment of insulin resistance (HOMA-IR), homeostatic model assessment of β-cell function (HOMA-β) and quantitative insulin sensitivity check index were also established. Results: CRP, IL-8, MCP-1, and TNF-α levels were higher in obese than non-obese individuals; the CRP and IL-8 differences were statistically significant. CRP correlated significantly with markers of insulin resistance (fasting plasma insulin, HOMA-IR, and QUICKI), and adiponectin correlated with HOMA-β in obese individuals. We divided the group of obese individuals on the basis of HOMA-IR levels into insulin-resistant (IR; HOMA-IR ≥2.5) and insulin-sensitive (IS; HOMA-IR <2.5) groups; and 43 out of 62 participants were IR despite comparable BMIs. An overall proinflammatory profile was compared between IR and IS obese, though the values were higher in IR obese but the difference was not significant. Conclusion: Obesity is associated with a general inflammatory milieu and a crosstalk between adipocytokines and insulin resistance is complex as well as multifactorial.
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