Based on the Hirota bilinear method,the second extended(3+1)-dimensional Jimbo–Miwa equation is established.By Maple symbolic calculation,lump and lump-kink soliton solutions are obtained.The interaction solutions be...Based on the Hirota bilinear method,the second extended(3+1)-dimensional Jimbo–Miwa equation is established.By Maple symbolic calculation,lump and lump-kink soliton solutions are obtained.The interaction solutions between the lump and multi-kink soliton,and the interaction between the lump and triangular periodic soliton are derived by combining a multi-exponential function or trigonometric sine and cosine functions with quadratic functions.Furthermore,periodiclump wave solution is derived via the ansatz including hyperbolic and trigonometric functions.Finally,3D plots,2D curves,density plots,and contour plots with particular choices of the suitable parameters are depicted to illustrate the dynamical features of these solutions.展开更多
Developing free-standing and mechanical robust membrane materials capable of superior enrichment of phosphopeptides for analyzing and identifying the specific phosphoproteome of cancer cells is significant in understa...Developing free-standing and mechanical robust membrane materials capable of superior enrichment of phosphopeptides for analyzing and identifying the specific phosphoproteome of cancer cells is significant in understanding the molecular mechanisms of cancer development and exploring new therapeutic approaches,but still a significant challenge in materials design.To this end,we firstly constructed highly flexible ZrTiO_(4) nanofibrous membranes(NFMs)with excellent mechanical stability through a cost-effective and scalable electrospinning and subsequent calcination technique.Then,to further increase the enrichment capacity of the phosphopeptide,the biomimetic TiO_(2)@ZrTiO_(4) NFMs with root hair or leaf like branch microstructure are developed by the hydrothermal post-synthetic modification of ZrTiO_(4) NFMs through growing unfurling TiO_(2) nanosheets onto the ZrTiO_(4) nanofibers.Importantly,remarkable flexibility and mechanical stability enable the resulting TiO_(2)@ZrTiO_(4) NFMs excellent practicability,while the biomimetic microstructure allows it outstanding enrichment ability of the phosphopeptide and identification ability of the specific phosphoproteins in the digest of cervical cancer cells.Specifically,6770 phosphopeptides can be enriched by TiO_(2)@ZrTiO_(4) NFMs(2205 corresponding phosphoproteins can be identified),and the value is much higher than that of ZrTiO_(4) NFMs(6399 phosphopeptides and 2132 identified phosphoproteins)and commercial high-performance TiO_(2) particles(4525 phosphopeptides and 1811 identified phosphoproteins).These results demonstrate the super ability of TiO_(2)@ZrTiO_(4) NFMs in phosphopeptide enrichment and great potential for exploring the pathogenesis of cancer.展开更多
This paper aims to search for the solutions of the(2+1)-dimensional extended Boiti–Leon–Manna–Pempinelli equation.Lump solutions,breather solutions,mixed solutions with solitons,and lump-breather solutions can be o...This paper aims to search for the solutions of the(2+1)-dimensional extended Boiti–Leon–Manna–Pempinelli equation.Lump solutions,breather solutions,mixed solutions with solitons,and lump-breather solutions can be obtained from the N-soliton solution formula by using the long-wave limit approach and the conjugate complex method.We use both specific circumstances and general higher-order forms of the hybrid solutions as examples.With the help of maple software,we create density and 3D graphs to summarize the dynamic properties of these solutions.Additionally,it is possible to observe how the solutions'trajectory,velocity,and shape vary over time.展开更多
Music and colour,as human hearing and visual art,are closely related to human psychological feelings and symbolic associations.There is an isomorphic relationship between music and colour.The article uses the concept...Music and colour,as human hearing and visual art,are closely related to human psychological feelings and symbolic associations.There is an isomorphic relationship between music and colour.The article uses the concept of“synesthesia”in psychology and the“co-construction”relationship in mathematics as a bridge,based on Kandinsky’s“inner sound”theory and Mallion’s“tone-colour system”,an interdisciplinary theoretical model of“timbre isomorphism synesthesia”(ISCM)is constructed.At the practical level,based on the ISCM theory,a set of timbre synesthesia visualization tools ASAH and visualization processes are designed,through music data input,graphics mapping visualization,colour mapping visualization,real-time interactive visualization,and finally output timbre synesthesia visualization works.In order to avoid the visual homogenization caused by algorithm design,ASHA has set up a custom editor,which emphasizes the individual differences and multi-sensory experience of tonal synesthesia visualization.展开更多
Ceramic membranes are attractive for thermal management applications due to its lightweight and ultralow thermal conductivity,while it is indispensable to address the long-standing obstacle of its poor mechanical stab...Ceramic membranes are attractive for thermal management applications due to its lightweight and ultralow thermal conductivity,while it is indispensable to address the long-standing obstacle of its poor mechanical stability and degradation under thermal shock.In this work,a series of the organic polymer template-modulated yttria doped zirconia(YDZ)nanofibrous membranes with lightweight,superior mechanical and thermal stability are developed through a cost-effective,scalable sol-gel electrospinning and subsequent calcination method.The YDZ membranes demonstrate excellent flexibility and foldability,which can be attributed to the tetragonal phase and small crystallite size of the YDZ fibers due to the presence of yttria.Besides,the fibrous size,grain size,mechanical and thermal stability of YDZ nanofibrous membranes could be tailored by varying the species and molecular weight of polymer template.The remarkable performances are obtained through the poly(vinyl pyrrolidone)(PVP)template YDZ nanofibrous membranes,featuring the superior tensile strength up to~4.82 MPa,excellent flexibility with bending rigidity~26 mN,robust thermal stability up to 1,200℃,ultra-low thermal conductivity of 0.008–0.023 W·m^(−1)·K^(−1)(25–1,000℃),and excellent flame retardancy with tolerance of flame up to 1,000℃.The remarkable properties can be attributed to the smaller fibrous size,and higher grain size resulting from PVP template.This robust material system is ideal for thermal superinsulation with a wide range of uses from energy saving building applications to spacecraft.展开更多
文摘Based on the Hirota bilinear method,the second extended(3+1)-dimensional Jimbo–Miwa equation is established.By Maple symbolic calculation,lump and lump-kink soliton solutions are obtained.The interaction solutions between the lump and multi-kink soliton,and the interaction between the lump and triangular periodic soliton are derived by combining a multi-exponential function or trigonometric sine and cosine functions with quadratic functions.Furthermore,periodiclump wave solution is derived via the ansatz including hyperbolic and trigonometric functions.Finally,3D plots,2D curves,density plots,and contour plots with particular choices of the suitable parameters are depicted to illustrate the dynamical features of these solutions.
基金supported by the National Natural Science Foundation of China(Nos.52202110,22201167)the Natural Science Foundation of Science and Technology Agency of Shanxi Province(No.20210302124654)+6 种基金the Scientific and Technological Innovation Programs of Higher Education Institutions in Shanxi(No.2021L259)the Innovation and Entrepreneurship Training Program for College students in Shanxi Province(No.20220312)the Outstanding Young Talents of Shaanxi Universities(2019)the Scientific and Technological Plan Project of Xi’an(No.21XJZZ0012)the Key Research and Development Program of Shaanxi Province of China(No.2022SF-201)the Service Local Special Program of Education Department of Shaanxi Province(No.23JC029)the Scientific and Technological Plan Project of the Beilin District of Xi’an City(No.GX2206).
文摘Developing free-standing and mechanical robust membrane materials capable of superior enrichment of phosphopeptides for analyzing and identifying the specific phosphoproteome of cancer cells is significant in understanding the molecular mechanisms of cancer development and exploring new therapeutic approaches,but still a significant challenge in materials design.To this end,we firstly constructed highly flexible ZrTiO_(4) nanofibrous membranes(NFMs)with excellent mechanical stability through a cost-effective and scalable electrospinning and subsequent calcination technique.Then,to further increase the enrichment capacity of the phosphopeptide,the biomimetic TiO_(2)@ZrTiO_(4) NFMs with root hair or leaf like branch microstructure are developed by the hydrothermal post-synthetic modification of ZrTiO_(4) NFMs through growing unfurling TiO_(2) nanosheets onto the ZrTiO_(4) nanofibers.Importantly,remarkable flexibility and mechanical stability enable the resulting TiO_(2)@ZrTiO_(4) NFMs excellent practicability,while the biomimetic microstructure allows it outstanding enrichment ability of the phosphopeptide and identification ability of the specific phosphoproteins in the digest of cervical cancer cells.Specifically,6770 phosphopeptides can be enriched by TiO_(2)@ZrTiO_(4) NFMs(2205 corresponding phosphoproteins can be identified),and the value is much higher than that of ZrTiO_(4) NFMs(6399 phosphopeptides and 2132 identified phosphoproteins)and commercial high-performance TiO_(2) particles(4525 phosphopeptides and 1811 identified phosphoproteins).These results demonstrate the super ability of TiO_(2)@ZrTiO_(4) NFMs in phosphopeptide enrichment and great potential for exploring the pathogenesis of cancer.
文摘This paper aims to search for the solutions of the(2+1)-dimensional extended Boiti–Leon–Manna–Pempinelli equation.Lump solutions,breather solutions,mixed solutions with solitons,and lump-breather solutions can be obtained from the N-soliton solution formula by using the long-wave limit approach and the conjugate complex method.We use both specific circumstances and general higher-order forms of the hybrid solutions as examples.With the help of maple software,we create density and 3D graphs to summarize the dynamic properties of these solutions.Additionally,it is possible to observe how the solutions'trajectory,velocity,and shape vary over time.
文摘Music and colour,as human hearing and visual art,are closely related to human psychological feelings and symbolic associations.There is an isomorphic relationship between music and colour.The article uses the concept of“synesthesia”in psychology and the“co-construction”relationship in mathematics as a bridge,based on Kandinsky’s“inner sound”theory and Mallion’s“tone-colour system”,an interdisciplinary theoretical model of“timbre isomorphism synesthesia”(ISCM)is constructed.At the practical level,based on the ISCM theory,a set of timbre synesthesia visualization tools ASAH and visualization processes are designed,through music data input,graphics mapping visualization,colour mapping visualization,real-time interactive visualization,and finally output timbre synesthesia visualization works.In order to avoid the visual homogenization caused by algorithm design,ASHA has set up a custom editor,which emphasizes the individual differences and multi-sensory experience of tonal synesthesia visualization.
基金the National Natural Science Foundation of China(Program No.21971207)Natural Science Basic Research Plan in Shaanxi Province of China(Program No.2019JQ−856)+2 种基金Scientific Research Program Funded by Shaanxi Provincial Education Department(Program No.18JK0356)Outstanding Young Talents of Shaanxi Universities(2019)Graduate Scientific Innovation Fund for Xi'an Polytechnic University(Program No.chx2021003).
文摘Ceramic membranes are attractive for thermal management applications due to its lightweight and ultralow thermal conductivity,while it is indispensable to address the long-standing obstacle of its poor mechanical stability and degradation under thermal shock.In this work,a series of the organic polymer template-modulated yttria doped zirconia(YDZ)nanofibrous membranes with lightweight,superior mechanical and thermal stability are developed through a cost-effective,scalable sol-gel electrospinning and subsequent calcination method.The YDZ membranes demonstrate excellent flexibility and foldability,which can be attributed to the tetragonal phase and small crystallite size of the YDZ fibers due to the presence of yttria.Besides,the fibrous size,grain size,mechanical and thermal stability of YDZ nanofibrous membranes could be tailored by varying the species and molecular weight of polymer template.The remarkable performances are obtained through the poly(vinyl pyrrolidone)(PVP)template YDZ nanofibrous membranes,featuring the superior tensile strength up to~4.82 MPa,excellent flexibility with bending rigidity~26 mN,robust thermal stability up to 1,200℃,ultra-low thermal conductivity of 0.008–0.023 W·m^(−1)·K^(−1)(25–1,000℃),and excellent flame retardancy with tolerance of flame up to 1,000℃.The remarkable properties can be attributed to the smaller fibrous size,and higher grain size resulting from PVP template.This robust material system is ideal for thermal superinsulation with a wide range of uses from energy saving building applications to spacecraft.
