By means of the weight functions, the idea of introduced parameters, using the transfer formula and Hermite–Hadamard’s inequality, a more accurate half-discrete multidimensional Hilbert-type inequality with the homogeneous kernel as 1(x+||k−ξ||α)λ(x,λ>0)
Yong Hong, Yanru Zhong, Bicheng Yang
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Mathematical Expression Retrieval Method Based on Operator Information [PDF]
Traditional text retrieval technology is mainly for one-dimensional text,and can hardly retrieve two-dimensional structural mathematical expressions.To solve the problem,a mathematical expression retrieval method based on operator information is ...
XU Yicong, TIAN Xuedong, ZUO Lina
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A New Extension of Hardy-Hilbert’s Inequality Containing Kernel of Double Power Functions
In this paper, we provide a new extension of Hardy-Hilbert’s inequality with the kernel consisting of double power functions and derive its equivalent forms.
Bicheng Yang, Shanhe Wu, Qiang Chen
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An IPTG Inducible Conditional Expression System for Mycobacteria. [PDF]
Conditional expression strains serve as a valuable tool to study the essentiality and to establish the vulnerability of a target under investigation in a drug discovery program.
Sudha Ravishankar +8 more
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On a New Extended Hardy–Hilbert’s Inequality with Parameters
In this paper, by introducing parameters and weight functions, with the help of the Euler−Maclaurin summation formula, we establish the extension of Hardy−Hilbert’s inequality and its equivalent forms.
Bicheng Yang, Shanhe Wu, Jianquan Liao
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The Inducible lac Operator-Repressor System Is Functional in Zebrafish Cells
BackgroundZebrafish are a foundational model organism for studying the spatio-temporal activity of genes and their regulatory sequences. A variety of approaches are currently available for editing genes and modifying gene expression in zebrafish ...
Sierra S. Nishizaki +8 more
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High-level expression of Bacillus naganoensis pullulanase from recombinant Escherichia coli with auto-induction: effect of lac operator. [PDF]
Pullulanase plays an important role in specific hydrolysis of branch points in amylopectin and is generally employed as an important enzyme in starch-processing industry.
Yao Nie +6 more
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New Schweizer Sklar Norm Picture Fuzzy Operator and Decision Application [PDF]
Existing picture fuzzy operational laws do not satisfy the closure and picture fuzzy aggregation operators, mostly aggregating the evaluation information through a single operator, which interferes with the comprehensive consideration of the relationship
WANG Lei, WANG Nan
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A more accurate Mulholland-type inequality in the whole plane
By introducing independent parameters, applying the weight coefficients, and Hermite-Hadamard’s inequality, we give a more accurate Mulholland-type inequality in the whole plane with a best possible constant factor. Furthermore, the equivalent forms, the
Yanru Zhong, Bicheng Yang, Qiang Chen
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The Krein-von Neumann extension of a regular even order quasi-differential operator [PDF]
We characterize by boundary conditions the Krein-von Neumann extension of a strictly positive minimal operator corresponding to a regular even order quasi-differential expression of Shin-Zettl type.
Minsung Cho +3 more
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