In this paper,we study Miyaoka-type inequalities on Chern classes of terminal projective 3-folds with nef anti-canonical *** X be a terminal projective 3-fold such that-KX is *** show that if c_(1)(X)·c_(2)(X)≠0,the...
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In this paper,we study Miyaoka-type inequalities on Chern classes of terminal projective 3-folds with nef anti-canonical *** X be a terminal projective 3-fold such that-KX is *** show that if c_(1)(X)·c_(2)(X)≠0,then c_(1)(X)·c_(2)(X)≥1/252;if further X is not rationally connected,then c_(1)(X)·c_(2)(X)≥4/5 and this inequality is *** order to prove this,we give a partial classification of such varieties along with many *** also study the nonvanishing of c_(1)(X)^(dim X-2)·c_(2)(X)for terminal weak Fano varieties and prove a Miyaoka-Kawamata-type inequality.
Colorectal cancer(CRC) is one of the most prevalent malignant tumors worldwide, exhibiting high morbidity and mortality. Lack of efficient tools for early diagnosis and surgical resection guidance of CRC have been a s...
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Colorectal cancer(CRC) is one of the most prevalent malignant tumors worldwide, exhibiting high morbidity and mortality. Lack of efficient tools for early diagnosis and surgical resection guidance of CRC have been a serious threat to the long-term survival rate of the CRC patients. Recent studies have shown that relative higher viscosity was presented in tumor cells compared to that in normal cells, leading to viscosity as a potential biomarker for CRC. Herein, we reported the development of a series of novel viscosity-sensitive and mitochondria-specific fluorescent probes(HTB, HTI, and HTP) for CRC *** them, HTB showed high sensitivity, minimal background interference, low cytotoxicity, and significant viscous response capability, making it an ideal tool for distinguishing colorectal tumor cells from normal cells. Importantly, we have successfully utilized HTB to visualize in a CRC-cells-derived xenograft(CDX) model, enriching its medical imaging capacity, which laid a foundation for further clinical translational application.
First,we prove a decomposition formula for any multiplicative differential form on a Lie groupoid ***,we prove that if G is a Poisson Lie groupoid,then the spaceΩ_(mult)·(G)of multiplicative forms on G has a differe...
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First,we prove a decomposition formula for any multiplicative differential form on a Lie groupoid ***,we prove that if G is a Poisson Lie groupoid,then the spaceΩ_(mult)·(G)of multiplicative forms on G has a differential graded Lie algebra(DGLA)***,when combined withΩ·(M),which is the space of forms on the base manifold M of G,Ω_(mult)·(G)forms a canonical DGLA crossed *** supplements a previously known fact that multiplicative multi-vector fields on G form a DGLA crossed module with the Schouten algebraΓ(∧·A)stemming from the Lie algebroid A of G.
Let A be a basic connected finite dimensional associative algebra over an algebraically closed field k and G be a cyclic *** is a quiver QGwith relationsρG such that the skew group algebras A[G]is Morita equivalent t...
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Let A be a basic connected finite dimensional associative algebra over an algebraically closed field k and G be a cyclic *** is a quiver QGwith relationsρG such that the skew group algebras A[G]is Morita equivalent to the quotient algebra of path algebra kQGmodulo ideal(ρG).Generally,the quiver QGis not *** this paper we develop a method to determine the number of connect components of ***,we introduce the notion of weight for underlying quiver of A such that A is G-graded and determine the connect components of smash product A#kG*.
Molecular topology is one of the important topics to study and understand the relationship between molecular structure and properties^([1]).Particularly,two-dimensional(2D)materials with extremely high surface area an...
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Molecular topology is one of the important topics to study and understand the relationship between molecular structure and properties^([1]).Particularly,two-dimensional(2D)materials with extremely high surface area and ultra-thin morphology have attracted considerable attention due to their unexpected properties in materials and chemistry^([2,3]).
In the present paper, we introduce the concepts of Prüfer sheaves and adic sheaves over a weighted projective line of genus one or an elliptic curve, show that Prüfer sheaves and adic sheaves can characterize the ca...
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In the present paper, we introduce the concepts of Prüfer sheaves and adic sheaves over a weighted projective line of genus one or an elliptic curve, show that Prüfer sheaves and adic sheaves can characterize the category of coherent sheaves. Moreover, we describe the relationship between Prüfer sheaves and generic sheaves, and provide two methods to construct generic sheaves by using coherent sheaves and Prüfer sheaves.
A visible light-promoted fast photochemical Wolff rearrangement was developed toward synthesis of α-substituted amides in continuous flow with the use of a photochemical oscillatory flow reactor(POFR).The control exp...
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A visible light-promoted fast photochemical Wolff rearrangement was developed toward synthesis of α-substituted amides in continuous flow with the use of a photochemical oscillatory flow reactor(POFR).The control experiment indicates that a fast process of the Wolff rearrangement(<40 s) is involved. Notably, this protocol does not require excess use of any reactants, and the resulting α-substituted amides could be isolated by recrystallization in good to excellent yields.
Porphyry copper deposits(PCDs)supply the majority of the world's copper(Cu)as well as significant amounts of molybdenum(Mo)and gold(Au).The formation of these deposits is controlled by a variety of geological factors,...
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Porphyry copper deposits(PCDs)supply the majority of the world's copper(Cu)as well as significant amounts of molybdenum(Mo)and gold(Au).The formation of these deposits is controlled by a variety of geological factors,among which the magmatic oxidation is one of the focuses of current *** study investigates the redox characteristics of arc magmas by analyzing the ratio of vanadium(V)to scandium(Sc)and its correlation with the oxygen fugacity(fO2)of magmas from arcs of various crustal thicknesses *** compiled an extensive dataset of published V/Sc values and studied the partition coefficients of Vand Sc between minerals and silicate melts across various magmatic *** results demonstrate that fractional crystallization of magnetite markedly reduces V/Sc values of the residual ***,magnesium number(Mg#)at the onset of magnetite fractionation is strongly positively correlated with fO_(2)of the equilibrium *** on this,the oxidation of arc magmas from different crustal thicknesses can be *** result suggests that magmas generated in crusts thicker than 20 km tend to be more oxidized with increasing crust *** trend is attributed to enhanced intracrustal differentiation processes involving garnet and amphibole,particularly in mature island and continental *** contrast,magmas in thinner arc crusts(<20 km),which are significantly influenced by subducted slab materials,display higher oxidation states than most of their thicker crust *** findings suggest that both subduction dynamics and crustal thickness play a vital role in determining the oxidation state of arc magmas and,consequently,their capacity to generate *** oxidized,primitive arc magmas are less favorable for PCD formation due to that they tend to experience magnetite fractionation and thus sulfide saturation in the early stage of magma evolution,a process leading to copper *** the contrary,thick arcs where magnet
Photocatalytic oxygen reduction for hydrogen peroxide(H_(2)O_(2))synthesis presents a green and costeffective production ***,achieving highly selective H_(2)O_(2)synthesis remains challenging,necessitating precise con...
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Photocatalytic oxygen reduction for hydrogen peroxide(H_(2)O_(2))synthesis presents a green and costeffective production ***,achieving highly selective H_(2)O_(2)synthesis remains challenging,necessitating precise control over free radical reaction pathways and minimizing undesirable oxidative ***,we report for the visible light-driven simultaneous co-photocatalytic reduction of O2to H_(2)O_(2)and oxidation of biomass using the atomic rubidium-nitride modified carbon nitride(CNRb).The optimized CNRb catalyst demonstrates a record photoreduction rate of 8.01 mM h^(-1)for H_(2)O_(2)generation and photooxidation rate of 3.75 mM h^(-1)for furfuryl alcohol to furoic acid,achieving a remarkable solar-to-chemical conversion(SCC)efficiency of up to 2.27%.Experimental characterizations and DFT calculation disclosed that the introducing atomic Rb–N configurations allows for the high-selective generation of superoxide radicals while suppressing hydroxyl free radical *** is because the Rb–N serves as the new alternative site to perceive a stronger connection position for O2adsorption and reinforce the capability to extract protons,thereby triggering a high selective redox product *** study holds great potential in precisely regulating reactive radical processes at the atomic level,thereby paving the way for efficient synthesis of H_(2)O_(2)coupled with biomass valorization.
This paper presents, for the first time, an effective numerical approach based on the isogeometric analysis(IGA) and the six-variable quasi-three dimensional(3D)higher-order shear deformation theory(HSDT) to study the...
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This paper presents, for the first time, an effective numerical approach based on the isogeometric analysis(IGA) and the six-variable quasi-three dimensional(3D)higher-order shear deformation theory(HSDT) to study the free vibration characteristics of functionally-graded(FG) graphene origami(GOri)-enabled auxetic metamaterial(GOEAM) plates submerged in a fluid medium. The plate theory incorporates the thickness stretching and the effects of transverse shear deformation without using any shear correction factors. The velocity potential function and Bernoulli's equation are used to derive the hydrodynamic pressure acting on the plate surface. Both horizontally and vertically immersed plate configurations are considered here in the form of inertia *** plates are composed of multilayer GOEAMs, with the GOri content varying through the plate's thickness in a layer-wise manner. This design results in graded auxetic *** material properties are evaluated by mixing rules and a genetic programming(GP)-assisted micromechanical model. The governing equations of motion for the FG-GOEAM plates immersed in a fluid medium are derived by Hamilton's principle. After validating the convergence and accuracy of the present model, a comprehensive parametric study is carried out to examine the effects of the GOri content, GOri distribution pattern, GOri folding degree, fluid level, immersed depth, and geometric parameter on the natural frequencies of the FG-GOEAM plates. The results show that the natural frequencies for the four GOri distribution patterns increase with the increase in the layer number when the lay number is fewer than 10, and then stabilize after the layer number reaches ***, in general, the natural frequency of the FG-GOEAM plate in a vacuum or fluid increases when the GOri content increases, while decreases when the GOri folding degree increases. Some additional findings related to the numerical results are presented in the conclusions. It is belie
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