The observations of the foregoing paragraph can elucidate a situation that may seem perplexing when viewed through the lens of real-variable theory. The function f(x)=1x2+1 has a power-series expansion about x=0 that only converges for ∣x∣<1, and it may not be obvious why that is ...
However, the potential of these novel structures to serve as synthetic intermediates remains less thoroughly explored. Herein, we report a novel strategy for the facile synthesis of biologically important saturated nitrogen hetero-cycles which is based on the unique reactivity of 3-oxetanone (1) ...
SM Tan,Z Sofer,J Luxa,... - 《Acs Catalysis》 被引量: 2发表: 2016年 A density functional theory study of the CO oxidation on Pt1 supported on PtX2 (X = S, Se, Te) The geometric stability, electronic structure and catalytic properties towards CO oxidation of a single Pt atom support...
We generalize to several variables Kurbanow and Maksimov's result that all linear polynornial operators can be expressed as a formal sum in terms of the derivative D (or any degree reducing operator) and multiplication by x.Applications to numerical analysis are given. In contrast, we ...
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Answer to: Find the Maclaurin Expansion of \frac{\arctan(x)}{x}. By signing up, you'll get thousands of step-by-step solutions to your homework...
From an evolutionary point of view, this study investigates the effects of export expansion on the local capabilities for developing new industries (i.e., regional diversification). Using statistical data from China Customs and China's Annual Survey of Industrial Firms, covering 334 prefectures ...
an=αncosθn,αn2=an2+bn2,bn=αnsinθn,tanθn=bn∕an. Note. The coefficients αn2 as a function of n define what is called the power spectrum. The importance of αn2 lies in their invariance under a shift in the phase θn. 19.1.3 A function f (x) is expanded in an expone...
We aimed to assess the status of naturally occurring CD4+ and CD8+ T cell responses to a tumour associated antigen, Mesothelin, in patients with pancreatic carcinoma and study the effects of elevated IL-10 on Mesothelin-specific T cell responses. For tha
Calculus of Variations Conversions DifferentialGeometry Logic Power Series FunctionAdvisor Group Theory Inert Functions Numbers Complex Numbers Constants Integer Functions Numerical Functions P-adic Overview arccoshp arccosp arccothp arccotp arccschp arccscp arcsechp arcsecp arcsinhp arcsinp arctanhp arc...