The electron g-factor relates the magnetic moment to the spin angular momentum. It was originally theoretically calculated to have a value of exactly 2. Experiments yielded a value of 2 plus a very small fraction, ref...The electron g-factor relates the magnetic moment to the spin angular momentum. It was originally theoretically calculated to have a value of exactly 2. Experiments yielded a value of 2 plus a very small fraction, referred to as the g-factor anomaly. This anomaly has been calculated theoretically as a power series of the fine structure constant. This document shows that the anomaly is the result of the electron charge thickness. If the thickness were to be zero, g = 2 exactly, and there would be no anomaly. As the thickness increases, the anomaly increases. An equation relating the g-factor and the surface charge thickness is presented. The thickness is calculated to be 0.23% of the electron radius. The cause of the anomaly is very clear, but why is the charge thickness greater than zero? Using the model of the interior structure of the electron previously proposed by the author, it is shown that the non-zero thickness, and thus the g-factor anomaly, are due to the proposed positive charge at the electron center and compressibility of the electron material. The author’s previous publication proposes a theory for splitting the electron into three equal charges when subjected to a strong external magnetic field. That theory is revised in this document, and the result is an error reduced to 0.4% in the polar angle where the splits occur and a reduced magnetic field required to cause the splits.展开更多
This study aims to investigate the efiect of the mesoscopic characteristics of mineral powder fillers on the rutting resistance of asphalt mortar.Extraction and sieving tests were used to obtain the buton rock asphalt...This study aims to investigate the efiect of the mesoscopic characteristics of mineral powder fillers on the rutting resistance of asphalt mortar.Extraction and sieving tests were used to obtain the buton rock asphalt(BRA)ash with particle size smaller than 0.075 mm,which is consistent with that of the conventional mineral powder.The mesoscopic characteristics of BRA ash and conventional mineral powder were measured by SEM image analysis and the osmotic free pressure water method.Mesoscopic structure models of structural and free asphalts in mortar were obtained.The 70#matrix asphalt was used to prepare two kinds of asphalt mortar with BRA ash and conventional mineral powders fillers.The rutting factor of the two asphalt mortars was tested by dynamic shear test(DSR).Test results show that the ash extracted from BRA has a similar mesoscopic classification with the conventional mineral powder.Still,its fractal dimensions are larger,indicating the particles in BRA ash have more complex shapes and rougher surfaces,which is beneficial for forming structural asphalt and subsequently increasing the rutting factor(G*/sinδ),i e,improving the rutting resistance of the asphalt mortar.展开更多
In this work the influence of the density of the molten metal on the emergence of the raining phenomenon in the horizontal centrifugal casting process is numerically studied. Transient 2D numerical simulations were ca...In this work the influence of the density of the molten metal on the emergence of the raining phenomenon in the horizontal centrifugal casting process is numerically studied. Transient 2D numerical simulations were carried out using Computational Fluid Dynamics software. Three molten metals with different density, namely aluminum, iron and lead, and three angular frequencies, namely 50, 66 and 77 rad/s were considered. It is found that the density of the molten metal significantly affects the emergence, transient or permanent, of the rain phenomenon. However, the magnitude and duration of the rain phenomenon depend on the angular frequency of the rotating mold. Likewise, since gravitational forces affect the metal according to its density, the value of the critical rotation speed of the mold is also affected.展开更多
Using the method of Picus and Beer invariants, general expressions are obtained for the total intensity I and the degree of circular polarization Рcirc.of the luminescence of GaAs-type semiconductors with the partici...Using the method of Picus and Beer invariants, general expressions are obtained for the total intensity I and the degree of circular polarization Рcirc.of the luminescence of GaAs-type semiconductors with the participation of shallow acceptor levels in a longitudinal magnetic field H. Special cases are analyzed depending on the value and direction of the magnetic field strength, as well as on the constants of the g-factor of the acceptor g1,g2and the conduction band electron ge. In the case of a strong magnetic field H// [100], [111], [110], a numerical calculation of the angular dependence of the quantities I and Рcirc.was performed for some critical values of g2/g1, at which Рcirc.exhibits a sharp anisotropy in the range from −100% to +100%, and the intensity of the crystal radiation along the magnetic field tends to a minimum value.展开更多
Chronic compressive spinal cord injury in compressive cervical myelopathy conditions can lead to rapid neurological deterioration in the early phase,followed by partial self-recovery,and ultimately an equilibrium stat...Chronic compressive spinal cord injury in compressive cervical myelopathy conditions can lead to rapid neurological deterioration in the early phase,followed by partial self-recovery,and ultimately an equilibrium state of neurological dysfunction.Ferroptosis is a crucial pathological process in many neurodegenerative diseases;however,its role in chro nic compressive spinal cord injury remains unclear.In this study,we established a chronic compressive spinal cord injury rat model,which displayed its most severe behavioral and electrophysiological dysfunction at 4 wee ks and partial recovery at 8 weeks after compression.Bulk RNA sequencing data identified enriched functional pathways,including ferroptosis,presynapse,and postsynaptic membrane activity at both 4 and 8 wee ks following chro nic compressive spinal co rd injury.Tra nsmission electron microscopy and malondialdehyde quantification assay confirmed that ferroptosis activity peaked at 4 weeks and was attenuated at 8 weeks after chronic compression.Ferro ptosis activity was negatively correlated with behavioral score.Immunofluorescence,quantitative polymerase chain reaction,and western blotting showed that expression of the anti-ferroptosis molecules,glutathione peroxidase 4(GPX4) and MAF BZIP transcription factor G(MafG),in neuro ns was suppressed at 4 weeks and upregulated at 8 weeks following spinal co rd compression.There was a positive correlation between the expression of these two molecules,suggesting that they may work together to contribute to functional recovery following chronic compressive spinal cord injury.In conclusion,our study determined the genome-wide expression profile and fe rroptosis activity of a consistently compressed spinal cord at different time points.The results showed that anti-fe rroptosis genes,specifically GPX4 and MafG,may be involved in spontaneous neurological recovery at 8 weeks of chronic compressive spinal cord injury.These findings contribute to a better understanding of the mechanisms underlying chronic compressive spinal cord injury and may help identify new therapeutic targets for compressive cervical myelopathy.展开更多
目的:探讨结直肠癌(colorectal cancer,CRC)中非染色体结构维持蛋白凝缩蛋白复合体I亚单位H(non-SMC condensin I complex subunit H,NCAPH)、G补缀FHA域血管新生因子1(angiogenic factor with G and FHA domains 1,AGGF1)及跨膜4L六家...目的:探讨结直肠癌(colorectal cancer,CRC)中非染色体结构维持蛋白凝缩蛋白复合体I亚单位H(non-SMC condensin I complex subunit H,NCAPH)、G补缀FHA域血管新生因子1(angiogenic factor with G and FHA domains 1,AGGF1)及跨膜4L六家族成员1(transmembrane-4-L-six-family-1,TM4SF1)蛋白质表达之间的关系及临床意义。方法:收集145例CRC术后标本和30例癌旁正常黏膜组织标本,采用免疫组织化学法检测CRC和癌旁正常黏膜组织中NCAPH、AGGF1及TM4SF1蛋白质的表达情况,分析其表达与各种临床病理因素的关系以及三者之间的相关性。结果:在CRC和癌旁组织中,NCAPH、AGGF1及TM4SF1的阳性表达率分别为55.2%、53.1%、60.7%和3.3%、6.6%、0,差异均有统计学意义(均P<0.001)。3种蛋白质的表达均与CRC的组织学分化和TNM分期有关(均P<0.001);NCAPH和TM4SF1的表达均与CRC的淋巴结转移有关(均P<0.05);NCAPH和AGGF1的表达均与CRC组织脉管侵犯有关(均P<0.05);AGGF1和TM4SF1的表达均与CRC的肿瘤浸润深度有关(均P<0.01)。TM4SF1的表达分别与NCAPH和AGGF1的表达呈正相关(r值分别为0.311和0.517,均P<0.001);同时,AGGF1与NCAPH的表达亦呈正相关(r=0.291,P=0.001)。Kaplan-Meier生存分析表明:NCAPH、AGGF1及TM4SF1的表达上调均与患者的生存率有关,NCAPH、AGGF1及TM4SF1阳性的患者生存率明显低于三者阴性患者(均P<0.05)。多因素分析表明:TNM分期、NCAPH、AGGF1及TM4SF1的表达和肿瘤脉管侵犯均是影响CRC根治术后患者预后的独立因素(均P<0.05)。结论:CRC组织中NCAPH、AGGF1及TM4SF1的表达上调与CRC的分化程度、转移和预后等因素相关,这些指标的联合检测可能作为判断CRC进展及患者预后的重要指标。展开更多
Objective:To evaluate the effectiveness and safety of the mobilization of peripheral blood hematopoietic stem cells by combining docetaxel with granulocyte colony-stimulating factor(G-CSF) in breast cancer patients...Objective:To evaluate the effectiveness and safety of the mobilization of peripheral blood hematopoietic stem cells by combining docetaxel with granulocyte colony-stimulating factor(G-CSF) in breast cancer patients.Methods:A total of 57 breast cancer patients were treated with docetaxel 120 mg/m2.When the white blood cell(WBC) count decreased to 1.0×109/L,patients were given G-CSF 5-g/kg daily by subcutaneous injection until the end of apheresis.Peripheral blood mononuclear cells(MNC) were isolated by Cobe Spectra Apheresis System.The percentage of CD34+ cell was assayed by flow cytometry.Results:At a median 6 of days(range 3-8) after the administration of docetaxel,the median WBC count decreased to 1.08×109/L(range 0.20-2.31).The median duration of G-CSF mobilization was 3 days(range 2-7).The MNC collection was conducted 8-12 days(median 10 days) after docetaxel treatment.The median MNC was 5.35×108/kg(range 0.59-14.07),the median CD34+ cell count was 2.43×106/kg(range 0.16-16.69).The CD34+ cell count was higher than 1.00×106/kg in 47 of 57 cases(82.46%) and higher than 2.00×106/kg in 36 cases(63.16%).The CD34+ cell count was higher than 2.00×106/kg in 27 collections(23.68%).The MNC count and the CD34+ cell count were correlated with the bottom of WBC after docetaxel chemotherapy(r=0.364,0.502,P=0.005,0.000).The CD34+ cell count was correlated with the MNC count(r=0.597,P=0.000).The mobilization and apheresis were well tolerated in all patients.Mild perioral numbness and numbness of hand or feet were observed in 3 cases.No serious adverse events were reported.Conclusion:Mobilization of peripheral blood hematopoietic stem cell by combining docetaxel with G-CSF was effective and safety in breast cancer patients.展开更多
With the strong-field scheme and cubic bases, the complete d<SUP>3</SUP> energy matrix in a tetragonally distorted cubic-field has been constructed. By diagonalizing this matrix, the energy spectra of SrTi...With the strong-field scheme and cubic bases, the complete d<SUP>3</SUP> energy matrix in a tetragonally distorted cubic-field has been constructed. By diagonalizing this matrix, the energy spectra of SrTiO<SUB>3</SUB>:Cr<SUP>3+</SUP> and SrTiO<SUB>3</SUB>:Mn<SUP>4+</SUP> at normal pressure and various temperatures have been calculated. Correspondingly, the FORTRAN program calculating the g factor of the ground state has been worked out. By using the program and the wavefunction obtained from diagonalizing the complete energy matrix, the g factors of the ground state of SrTiO<SUB>3</SUB>:Cr<SUP>3+</SUP> and SrTiO<SUB>3</SUB>:Mn<SUP>4+</SUP> at normal pressure and room temperature have been evaluated. The calculated results are in good agreement with the optical-spectral and EPR experimental data. The comparison and analysis of the results of two crystals have been made. It is demonstrated that the covalency of the bonding between Mn<SUP>4+</SUP> and ligands (O<SUP>2-</SUP>) in SrTiO<SUB>3</SUB>:Mn<SUP>4+</SUP> is stronger than the one of the bonding between Cr<SUP>3+</SUP> and ligands (O<SUP>2-</SUP>) in SrTiO<SUB>3</SUB>:Cr<SUP>3+</SUP>. It is shown that the obtained wavefunctions and values of parameters are reasonable.展开更多
This paper presents a new proof of a charaterization of fractional (g, f)-factors of a graph in which multiple edges are allowed. From the proof a polynomial algorithm for finding the fractional (g, f)-factor can be i...This paper presents a new proof of a charaterization of fractional (g, f)-factors of a graph in which multiple edges are allowed. From the proof a polynomial algorithm for finding the fractional (g, f)-factor can be induced.展开更多
Let G be a bipartite graph with vertex set V(G) and edge set E(G), and let g and f be two positive integer-valued functions defined on V(G) such that g(x) ≤ f(x) for every vertex x of V(G). Then a (g, f)-factor of G ...Let G be a bipartite graph with vertex set V(G) and edge set E(G), and let g and f be two positive integer-valued functions defined on V(G) such that g(x) ≤ f(x) for every vertex x of V(G). Then a (g, f)-factor of G is a spanning subgraph H of G such that g(x) ≤ dH(x) 5 f(x) for each x ∈ V(H). A (g, f)-factorization of G is a partition of E(G) into edge-disjoint (g, f)-factors. Let F = {F1, F2,…… , Fm } and H be a factorization and a subgraph of G, respectively. If F, 1 ≤ i ≤ m, has exactly one edge in common with H, then it is said that ■ is orthogonal to H. It is proved that every bipartite (mg + m - 1, mf - m + 1 )-graph G has a (g, f)-factorization orthogonal to k vertex disjoint m-subgraphs of G if 2-k ≤ g(x) for all x ∈ V(G). Furthermore, it is showed that the results in this paper are best possible.展开更多
Time-resolved Kerr rotation spectroscopy is used to determine the sign of the g factor of carriers in a semiconductor material, with the help of a rotatable magnetic field in the plane of the sample. The spin precessi...Time-resolved Kerr rotation spectroscopy is used to determine the sign of the g factor of carriers in a semiconductor material, with the help of a rotatable magnetic field in the plane of the sample. The spin precession signal of carriers at a fixed time delay is measured as a function of the orientation of the magnetic field with a fixed strength B. The signal has a sine-like form and its phase determines the sign of the g factor of carriers. As a natural extension of previous methods to measure the (time-resolved) photoluminescence or time-resolved Kerr rotation signal as a function of the magnetic field strength with a fixed orientation, such a method gives the correct sign of the g factor of electrons in GaAs. Furthermore, the sign of carriers in a (Ga, Mn)As magnetic semiconductor is also found to be negative.展开更多
文摘The electron g-factor relates the magnetic moment to the spin angular momentum. It was originally theoretically calculated to have a value of exactly 2. Experiments yielded a value of 2 plus a very small fraction, referred to as the g-factor anomaly. This anomaly has been calculated theoretically as a power series of the fine structure constant. This document shows that the anomaly is the result of the electron charge thickness. If the thickness were to be zero, g = 2 exactly, and there would be no anomaly. As the thickness increases, the anomaly increases. An equation relating the g-factor and the surface charge thickness is presented. The thickness is calculated to be 0.23% of the electron radius. The cause of the anomaly is very clear, but why is the charge thickness greater than zero? Using the model of the interior structure of the electron previously proposed by the author, it is shown that the non-zero thickness, and thus the g-factor anomaly, are due to the proposed positive charge at the electron center and compressibility of the electron material. The author’s previous publication proposes a theory for splitting the electron into three equal charges when subjected to a strong external magnetic field. That theory is revised in this document, and the result is an error reduced to 0.4% in the polar angle where the splits occur and a reduced magnetic field required to cause the splits.
基金Funded by the National Natural Science Foundation of China(No.51978088)。
文摘This study aims to investigate the efiect of the mesoscopic characteristics of mineral powder fillers on the rutting resistance of asphalt mortar.Extraction and sieving tests were used to obtain the buton rock asphalt(BRA)ash with particle size smaller than 0.075 mm,which is consistent with that of the conventional mineral powder.The mesoscopic characteristics of BRA ash and conventional mineral powder were measured by SEM image analysis and the osmotic free pressure water method.Mesoscopic structure models of structural and free asphalts in mortar were obtained.The 70#matrix asphalt was used to prepare two kinds of asphalt mortar with BRA ash and conventional mineral powders fillers.The rutting factor of the two asphalt mortars was tested by dynamic shear test(DSR).Test results show that the ash extracted from BRA has a similar mesoscopic classification with the conventional mineral powder.Still,its fractal dimensions are larger,indicating the particles in BRA ash have more complex shapes and rougher surfaces,which is beneficial for forming structural asphalt and subsequently increasing the rutting factor(G*/sinδ),i e,improving the rutting resistance of the asphalt mortar.
文摘In this work the influence of the density of the molten metal on the emergence of the raining phenomenon in the horizontal centrifugal casting process is numerically studied. Transient 2D numerical simulations were carried out using Computational Fluid Dynamics software. Three molten metals with different density, namely aluminum, iron and lead, and three angular frequencies, namely 50, 66 and 77 rad/s were considered. It is found that the density of the molten metal significantly affects the emergence, transient or permanent, of the rain phenomenon. However, the magnitude and duration of the rain phenomenon depend on the angular frequency of the rotating mold. Likewise, since gravitational forces affect the metal according to its density, the value of the critical rotation speed of the mold is also affected.
文摘Using the method of Picus and Beer invariants, general expressions are obtained for the total intensity I and the degree of circular polarization Рcirc.of the luminescence of GaAs-type semiconductors with the participation of shallow acceptor levels in a longitudinal magnetic field H. Special cases are analyzed depending on the value and direction of the magnetic field strength, as well as on the constants of the g-factor of the acceptor g1,g2and the conduction band electron ge. In the case of a strong magnetic field H// [100], [111], [110], a numerical calculation of the angular dependence of the quantities I and Рcirc.was performed for some critical values of g2/g1, at which Рcirc.exhibits a sharp anisotropy in the range from −100% to +100%, and the intensity of the crystal radiation along the magnetic field tends to a minimum value.
文摘Chronic compressive spinal cord injury in compressive cervical myelopathy conditions can lead to rapid neurological deterioration in the early phase,followed by partial self-recovery,and ultimately an equilibrium state of neurological dysfunction.Ferroptosis is a crucial pathological process in many neurodegenerative diseases;however,its role in chro nic compressive spinal cord injury remains unclear.In this study,we established a chronic compressive spinal cord injury rat model,which displayed its most severe behavioral and electrophysiological dysfunction at 4 wee ks and partial recovery at 8 weeks after compression.Bulk RNA sequencing data identified enriched functional pathways,including ferroptosis,presynapse,and postsynaptic membrane activity at both 4 and 8 wee ks following chro nic compressive spinal co rd injury.Tra nsmission electron microscopy and malondialdehyde quantification assay confirmed that ferroptosis activity peaked at 4 weeks and was attenuated at 8 weeks after chronic compression.Ferro ptosis activity was negatively correlated with behavioral score.Immunofluorescence,quantitative polymerase chain reaction,and western blotting showed that expression of the anti-ferroptosis molecules,glutathione peroxidase 4(GPX4) and MAF BZIP transcription factor G(MafG),in neuro ns was suppressed at 4 weeks and upregulated at 8 weeks following spinal co rd compression.There was a positive correlation between the expression of these two molecules,suggesting that they may work together to contribute to functional recovery following chronic compressive spinal cord injury.In conclusion,our study determined the genome-wide expression profile and fe rroptosis activity of a consistently compressed spinal cord at different time points.The results showed that anti-fe rroptosis genes,specifically GPX4 and MafG,may be involved in spontaneous neurological recovery at 8 weeks of chronic compressive spinal cord injury.These findings contribute to a better understanding of the mechanisms underlying chronic compressive spinal cord injury and may help identify new therapeutic targets for compressive cervical myelopathy.
文摘目的:探讨结直肠癌(colorectal cancer,CRC)中非染色体结构维持蛋白凝缩蛋白复合体I亚单位H(non-SMC condensin I complex subunit H,NCAPH)、G补缀FHA域血管新生因子1(angiogenic factor with G and FHA domains 1,AGGF1)及跨膜4L六家族成员1(transmembrane-4-L-six-family-1,TM4SF1)蛋白质表达之间的关系及临床意义。方法:收集145例CRC术后标本和30例癌旁正常黏膜组织标本,采用免疫组织化学法检测CRC和癌旁正常黏膜组织中NCAPH、AGGF1及TM4SF1蛋白质的表达情况,分析其表达与各种临床病理因素的关系以及三者之间的相关性。结果:在CRC和癌旁组织中,NCAPH、AGGF1及TM4SF1的阳性表达率分别为55.2%、53.1%、60.7%和3.3%、6.6%、0,差异均有统计学意义(均P<0.001)。3种蛋白质的表达均与CRC的组织学分化和TNM分期有关(均P<0.001);NCAPH和TM4SF1的表达均与CRC的淋巴结转移有关(均P<0.05);NCAPH和AGGF1的表达均与CRC组织脉管侵犯有关(均P<0.05);AGGF1和TM4SF1的表达均与CRC的肿瘤浸润深度有关(均P<0.01)。TM4SF1的表达分别与NCAPH和AGGF1的表达呈正相关(r值分别为0.311和0.517,均P<0.001);同时,AGGF1与NCAPH的表达亦呈正相关(r=0.291,P=0.001)。Kaplan-Meier生存分析表明:NCAPH、AGGF1及TM4SF1的表达上调均与患者的生存率有关,NCAPH、AGGF1及TM4SF1阳性的患者生存率明显低于三者阴性患者(均P<0.05)。多因素分析表明:TNM分期、NCAPH、AGGF1及TM4SF1的表达和肿瘤脉管侵犯均是影响CRC根治术后患者预后的独立因素(均P<0.05)。结论:CRC组织中NCAPH、AGGF1及TM4SF1的表达上调与CRC的分化程度、转移和预后等因素相关,这些指标的联合检测可能作为判断CRC进展及患者预后的重要指标。
基金supported by a grant from the Beijing Capital Development Foundation for Medical Sciences (No. 2007-2053)
文摘Objective:To evaluate the effectiveness and safety of the mobilization of peripheral blood hematopoietic stem cells by combining docetaxel with granulocyte colony-stimulating factor(G-CSF) in breast cancer patients.Methods:A total of 57 breast cancer patients were treated with docetaxel 120 mg/m2.When the white blood cell(WBC) count decreased to 1.0×109/L,patients were given G-CSF 5-g/kg daily by subcutaneous injection until the end of apheresis.Peripheral blood mononuclear cells(MNC) were isolated by Cobe Spectra Apheresis System.The percentage of CD34+ cell was assayed by flow cytometry.Results:At a median 6 of days(range 3-8) after the administration of docetaxel,the median WBC count decreased to 1.08×109/L(range 0.20-2.31).The median duration of G-CSF mobilization was 3 days(range 2-7).The MNC collection was conducted 8-12 days(median 10 days) after docetaxel treatment.The median MNC was 5.35×108/kg(range 0.59-14.07),the median CD34+ cell count was 2.43×106/kg(range 0.16-16.69).The CD34+ cell count was higher than 1.00×106/kg in 47 of 57 cases(82.46%) and higher than 2.00×106/kg in 36 cases(63.16%).The CD34+ cell count was higher than 2.00×106/kg in 27 collections(23.68%).The MNC count and the CD34+ cell count were correlated with the bottom of WBC after docetaxel chemotherapy(r=0.364,0.502,P=0.005,0.000).The CD34+ cell count was correlated with the MNC count(r=0.597,P=0.000).The mobilization and apheresis were well tolerated in all patients.Mild perioral numbness and numbness of hand or feet were observed in 3 cases.No serious adverse events were reported.Conclusion:Mobilization of peripheral blood hematopoietic stem cell by combining docetaxel with G-CSF was effective and safety in breast cancer patients.
文摘With the strong-field scheme and cubic bases, the complete d<SUP>3</SUP> energy matrix in a tetragonally distorted cubic-field has been constructed. By diagonalizing this matrix, the energy spectra of SrTiO<SUB>3</SUB>:Cr<SUP>3+</SUP> and SrTiO<SUB>3</SUB>:Mn<SUP>4+</SUP> at normal pressure and various temperatures have been calculated. Correspondingly, the FORTRAN program calculating the g factor of the ground state has been worked out. By using the program and the wavefunction obtained from diagonalizing the complete energy matrix, the g factors of the ground state of SrTiO<SUB>3</SUB>:Cr<SUP>3+</SUP> and SrTiO<SUB>3</SUB>:Mn<SUP>4+</SUP> at normal pressure and room temperature have been evaluated. The calculated results are in good agreement with the optical-spectral and EPR experimental data. The comparison and analysis of the results of two crystals have been made. It is demonstrated that the covalency of the bonding between Mn<SUP>4+</SUP> and ligands (O<SUP>2-</SUP>) in SrTiO<SUB>3</SUB>:Mn<SUP>4+</SUP> is stronger than the one of the bonding between Cr<SUP>3+</SUP> and ligands (O<SUP>2-</SUP>) in SrTiO<SUB>3</SUB>:Cr<SUP>3+</SUP>. It is shown that the obtained wavefunctions and values of parameters are reasonable.
基金This work is supported by NNSF of ChinaRFDP of Higher Education
文摘This paper presents a new proof of a charaterization of fractional (g, f)-factors of a graph in which multiple edges are allowed. From the proof a polynomial algorithm for finding the fractional (g, f)-factor can be induced.
基金This work was supported by NNSF. RFDP and NNSF of shandong province(Z2000A02 ).
文摘Let G be a bipartite graph with vertex set V(G) and edge set E(G), and let g and f be two positive integer-valued functions defined on V(G) such that g(x) ≤ f(x) for every vertex x of V(G). Then a (g, f)-factor of G is a spanning subgraph H of G such that g(x) ≤ dH(x) 5 f(x) for each x ∈ V(H). A (g, f)-factorization of G is a partition of E(G) into edge-disjoint (g, f)-factors. Let F = {F1, F2,…… , Fm } and H be a factorization and a subgraph of G, respectively. If F, 1 ≤ i ≤ m, has exactly one edge in common with H, then it is said that ■ is orthogonal to H. It is proved that every bipartite (mg + m - 1, mf - m + 1 )-graph G has a (g, f)-factorization orthogonal to k vertex disjoint m-subgraphs of G if 2-k ≤ g(x) for all x ∈ V(G). Furthermore, it is showed that the results in this paper are best possible.
基金Project supported by the National Basic Research Program of China (Grant No. 2009CB929301)the National Natural Science Foundation of China (Grant No. 10911130232)
文摘Time-resolved Kerr rotation spectroscopy is used to determine the sign of the g factor of carriers in a semiconductor material, with the help of a rotatable magnetic field in the plane of the sample. The spin precession signal of carriers at a fixed time delay is measured as a function of the orientation of the magnetic field with a fixed strength B. The signal has a sine-like form and its phase determines the sign of the g factor of carriers. As a natural extension of previous methods to measure the (time-resolved) photoluminescence or time-resolved Kerr rotation signal as a function of the magnetic field strength with a fixed orientation, such a method gives the correct sign of the g factor of electrons in GaAs. Furthermore, the sign of carriers in a (Ga, Mn)As magnetic semiconductor is also found to be negative.