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Article
Open AccessSubwavelength imaging using a solid-immersion diffractive optical processor
Phase imaging is widely used in biomedical imaging, sensing, and material characterization, among other fields. However, direct imaging of phase objects with subwavelength resolution remains a challenge. Here,...
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Article
Open AccessHistone acetyltransferase Kat2a regulates ferroptosis via enhancing Tfrc and Hmox1 expression in diabetic cardiomyopathy
Diabetic cardiomyopathy (DCM) is a prevalent myocardial microvascular complication of the myocardium with a complex pathogenesis. Investigating the pathogenesis of DCM can significantly contribute to enhancing...
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Article
Open AccessAnalysis of PD-L1 promoter methylation combined with immunogenic context in pancreatic ductal adenocarcinoma
Despite the successful application of programmed cell death ligand 1 (PD-L1)-blocking strategies in some types of cancers and well-established prognostic indicators in pancreatic ductal adenocarcinoma (PDAC), ...
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Article
Minimal Weak Drazin Inverses in Semigroups and Rings
In 1978, Campbell and Meyer proposed the notion of minimal rank weak Drazin inverses of complex matrices. In this paper, we define minimal weak Drazin inverses of elements in semigroups using Green’s preorder ...
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Article
Open AccessPhysical and mechanical characteristics deterioration and crack evolution of sandy mudstone in an open-pit mine under multiple freeze–thaw cycles
In open-pit mines located in cold regions north of the 38°N latitude, there are significant freeze–thaw phenomena in slope rocks. This study conducted freeze–thaw cycle tests, considering the number of freeze–...
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Article
Comparative Analysis of Fatigue Strength and Life of Vascular Stents under Various Deformation Behaviors
The deformation of arterial stents in lower limbs during limb movement is the main cause of fracture failure. At present, it has been revealed in most studies that the fatigue strength and life of stents are c...
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Article
Open AccessSalicylic acid inducing the expression of maize anti-insect gene SPI: a potential control strategy for Ostrinia furnacalis
Due to being rooted in the ground, maize (Zea mays L.) is unable to actively escape the attacks of herbivorous insects such as the Asian corn borer (Ostrinia furnacalis). In contrast to the passive damage, plants...
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Article
Open AccessAll-optical image denoising using a diffractive visual processor
Image denoising, one of the essential inverse problems, targets to remove noise/artifacts from input images. In general, digital image denoising algorithms, executed on computers, present latency due to severa...
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Article
Monitoring land subsidence in the Peshawar District, Pakistan, with a multi-track PS-InSAR technique
Peshawar is one of the most densely populated cities of Pakistan with high urbanization rate. The city overexploits groundwater resources for household and commercial usage which has caused land subsidence. La...
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Book
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Chapter
Algebraic Basic Knowledge
In this beginning chapter, we shall review some of the basic concepts and set up some notations for the subsequent chapters. The readers are assumed to be familiar with most of the basic knowledge on sets, gro...
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Chapter
Group Inverses
Unlike the Moore-Penrose inverse whose definition requires an involution in the setting, in this chapter we discuss another generalized inverse which can be considered in an arbitrary ring or semigroup and is ...
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Chapter
Core Inverses
In the previous chapters, we introduced Moore-Penrose inverses, group inverses and Drazin inverses, which are the most well-known generalized inverses. Although these generalized inverses coincide in some spec...
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Chapter
Moore-Penrose Inverses
As early as 1920, Eliakim Hastings Moore found that any complex matrix A (square or not) can be associated with a unique matrix G such that AG and GA are the projection operators on the range of A and G, respecti...
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Chapter
Drazin Inverses
For complex matrices, we know from Chap. 3 that the group inverse only exists for matrices with index no more than 1, so it is not suitable for the more common class of matric...
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Chapter
Pseudo Core Inverses
For any square complex matrix A with index 1, we know that the core inverse of A exists and it is equal to
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Article
A multi-module with a two-way feedback method for Ulva drift-diffusion
The outbreak of Ulva in the Yellow Sea has seriously affected marine ecology and economic activities. Therefore, effective prediction of the distribution of Ulva is of great significance for disaster prevention a...
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Article
Open AccessStability analysis of a slope containing water-sensitive mudstone considering different rainfall conditions at an open-pit mine
Mudstone, as a typical soft rock with wide distribution, has been endangering the slopes containing mudstone by its water-sensitivity of swelling and weakening strength when encountering water. To comprehensiv...
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Article
Spontaneous electrochemical uranium extraction from wastewater with net electrical energy production
Extracting uranium from uranium mine wastewater is highly important from both the environmental protection and the resource preservation perspectives. However, conventional adsorption methods and zero valent i...
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Article
Electric field-induced morphological changes on polymer surface using phase-field model
We propose a method for controlling the formation of microarray structures on the surface by using an electric field. In this study, a phase field model is employed to describe the formation of microstructures...
