The impact of Cr3+ ion on the magnetic properties of Mn0.50Zn0.50CrxFe2-xO4 (with x = 0.0, 0.1, 0.2, 0.3, 0.4 and 0.5) has been studied. Ferrite samples were synthesized by combustion method and sintered at various te...The impact of Cr3+ ion on the magnetic properties of Mn0.50Zn0.50CrxFe2-xO4 (with x = 0.0, 0.1, 0.2, 0.3, 0.4 and 0.5) has been studied. Ferrite samples were synthesized by combustion method and sintered at various temperatures (1250°C, 1300°C and 1350°C). The structural properties were investigated by means of X-ray diffraction patterns and indicated that the samples possess single phase cubic spinel structure. The lattice parameter decreases with the increase in Cr3+ content, as the ionic radius of Cr3+ ion is smaller than that of Fe3+. The average grain size (D), bulk density (ρB) and initial permeability (μi’ )decreases with increase in Cr3+ content whereas porosity follows its opposite trend. The ρB was found to increase with increase in Cr3+ content as the sintering temperature (Ts) is increased from 1250°C to 1350°C. The Ts affects the densification, grain growth and (μi’ ) of the samples. The (μi’ ) strongly depends on average grain size, density and intragranular porosity. The B-H loops of the compositions were measured at room temperature. The saturation magnetization (Ms), coercivity (Hc) and hysteresis losses were studied as a function of Cr3+ content. The Ms was found to decrease with the increase of Cr3+ content, which is attributed to the dilution of A-B interaction.展开更多
Objective: To evaluate the potential of local mosquitoes to act as vectors for dengue transmission in Japan.Methods: Serotype 2 Th NH28/93 was used to test the dengue susceptibility profiles of Aedes flavopictus miyar...Objective: To evaluate the potential of local mosquitoes to act as vectors for dengue transmission in Japan.Methods: Serotype 2 Th NH28/93 was used to test the dengue susceptibility profiles of Aedes flavopictus miyarai(Ae. f. miyarai), Aedes galloisi(Ae. galloisi) and Aedes albopictus(Ae.albopictus), which were collected in Japan. We used Aedes aegypti from Thailand as a positive control. The mosquitoes were infected with the virus intrathoracically or orally. At 10 or 14 days post infection, the mosquitoes were dissected and total RNA was extracted from their abdomens, thoraxes, heads and legs. Mosquito susceptibility to dengue virus was evaluated using RT-PCR with dengue virus-specific primers. Differences in the infection and mortality rates of the different mosquito species were tested using Fisher's exact probability test.Results: The infection rates for dengue virus administered intrathoracically to Ae. f. miyarai,Ae. galloisi and Aedes aegypti mosquitoes were identical by RT-PCR on Day 10 post infection.All of the body parts we tested were RT-PCR-positive for dengue virus. For the orally administered virus, the infection rates in the different body parts of the Ae. f. miyarai mosquitoes were slightly higher than those of Ae. albopictus mosquitoes, but were similar to the control mosquitoes(P > 0.05). The mortality rates for Ae. f. miyarai and Ae. albopictus mosquitoes were similar(P = 0.19). Our data indicated that dengue virus was able to replicate and disseminate to secondary infection sites in all of the four mosquito species(Japanese and Thai).Conclusions: Ae. albopictus is a well-known candidate for dengue transmission in Japan. However, our data suggest that Ae. f. miyarai from Ishigaki Island(near Okinawa Island) and Ae. galloisi from Hokkaido(Northern Japan) should also be regarded as potential vectors for dengue transmission in these regions. Further studies on these mosquitoes should be conducted.展开更多
Craving is a key component of substance use disorders(SUDs).1 In recent decades,repetitive transcranial magnetic stimulation(rTMS)has emerged as a promising treatment for individuals with SUDs by reducing their drug c...Craving is a key component of substance use disorders(SUDs).1 In recent decades,repetitive transcranial magnetic stimulation(rTMS)has emerged as a promising treatment for individuals with SUDs by reducing their drug cravings and drug-associated cues,including methamphetamine,heroin,cocaine,nicotine and alcohol.2–7 Recently,the transdiagnostic consistency of the medial prefrontal cortex(MPFC)8 and anterior cingulate cortex(ACC)9 as neural substrates underlying cue reactivity was proposed.展开更多
Mn0.50-xZn0.50CuxFe2O4 (where x = 0.0 - 0.3) ferrites have been synthesized by auto combustion method. X-ray diffraction patterns reveal that all compositions are of single phase cubic spinel structure. The lattice pa...Mn0.50-xZn0.50CuxFe2O4 (where x = 0.0 - 0.3) ferrites have been synthesized by auto combustion method. X-ray diffraction patterns reveal that all compositions are of single phase cubic spinel structure. The lattice parameter decreases with the increase in Cu2+ content obeying the Vegard’s law. The bulk density, average grain size, initial permeability, Néel temperature and saturation magnetic induction of Mn0.50-xZn0.50CuxFe2O4 increased with increasing Cu2+content. It is observed that both density and initial permeability increase with increasing sintering temperature. The maximum initial permeability is found to be 1061 which is almost four times greater than that of the parent composition. The resonance frequency of all the samples shifts towards the lower frequency as the permeability increases with Cu2+ content. It is observed from B-H loops of Mn0.50-xZn0.50CuxFe2O4 that coercivity decreases and retentivity increases with Cu2+ content. Possible explanations for the observed magnetic properties with various Cu2+ contents are discussed.展开更多
The baseline study profiled Black-chin Tilapia(Sarotherodon.melanotheron),a fish farm pest species in Bataan,Philippines,in terms of yield(processing and fillet),proximate composition(moisture,ash,crude fat,and crude ...The baseline study profiled Black-chin Tilapia(Sarotherodon.melanotheron),a fish farm pest species in Bataan,Philippines,in terms of yield(processing and fillet),proximate composition(moisture,ash,crude fat,and crude protein),heavy metal load(cadmium[Cd],lead[Pb],arsenic[As],and mercury[Hg]),and microbial count(aerobic plate,Escherichia coli,and Staphylococcus aureus counts).The purpose was to establish the species’safety and quality for consumption and potential utilization in the processing of higher value fishery products.A completely randomized experiment using two factors,fish size(standard and small sizes)and collection season(dry and wet seasons),was employed.The collected data were also compared against food consumption and processing standards and/or previous reports on more valuable species.The results showed that the species has a comparable yield and mineral load with the more popular farmed Nile Tilapia(Oreochromis niloticus).It has high moisture and protein compositions.It is a lean fish that can serve as a cheaper functional raw material for processed fishery products.Moreover,the results showed that the species have no As,Cd,and Pb contamination,although traces of Hg,far below the permissible limits,were detected.The Hg load varies across collection season and fish maturity suggesting its manageability.For the microbial contents,the species’aerobic plate,Escherichia coli,and Staphylococcus aureus counts were far below the standard limits,although best post-capture practices are still suggested due to the kind of microbial parameters measured.It was concluded that the Sarotherodon melanotheron infesting Bataan farm ponds can be consumed safely and has the quality of potential raw material for processed fishery products.However,further information is still needed to establish the best post-capture handling on the species.Also,more studies must be done to determine the impact of storage and processing on its stability.展开更多
Air quality is a critical concern for public health and environmental regulation. The Air Quality Index (AQI), a widely adopted index by the US Environmental Protection Agency (EPA), serves as a crucial metric for rep...Air quality is a critical concern for public health and environmental regulation. The Air Quality Index (AQI), a widely adopted index by the US Environmental Protection Agency (EPA), serves as a crucial metric for reporting site-specific air pollution levels. Accurately predicting air quality, as measured by the AQI, is essential for effective air pollution management. In this study, we aim to identify the most reliable regression model among linear discriminant analysis (LDA), quadratic discriminant analysis (QDA), logistic regression, and K-nearest neighbors (KNN). We conducted four different regression analyses using a machine learning approach to determine the model with the best performance. By employing the confusion matrix and error percentages, we selected the best-performing model, which yielded prediction error rates of 22%, 23%, 20%, and 27%, respectively, for LDA, QDA, logistic regression, and KNN models. The logistic regression model outperformed the other three statistical models in predicting AQI. Understanding these models' performance can help address an existing gap in air quality research and contribute to the integration of regression techniques in AQI studies, ultimately benefiting stakeholders like environmental regulators, healthcare professionals, urban planners, and researchers.展开更多
A numerical research on magnetohydrodynamic mixed convection flow in a lid-driven trapezoidal enclosure at non-uniform heating of bottom wall has been studied numerically. The enclosure consists of insulated top wall ...A numerical research on magnetohydrodynamic mixed convection flow in a lid-driven trapezoidal enclosure at non-uniform heating of bottom wall has been studied numerically. The enclosure consists of insulated top wall and cold side walls, too. It also contains a heated triangular block (<em>Rot</em> = 0<span style="font-family:Verdana, Helvetica, Arial;white-space:normal;background-color:#FFFFFF;">°</span> - 90<span style="font-family:Verdana, Helvetica, Arial;white-space:normal;background-color:#FFFFFF;">°</span>) located somewhere inside the enclosure. The boundary top wall of the enclosure is moving through uniform speed <em>U</em><sub>0</sub>. The geometry of the model has been represented mathematically by coupled governing equations in accordance with proper boundary conditions and then a two-dimensional Galerkin finite element based numerical approach has been adopted to solve this paper. The numerical computations have been carried out for the wide range of parameters Prandtl number (0.5 ≤ <em>Pr</em> ≤ 2), Reynolds number (60 ≤ <em>Re</em> ≤ 120), Rayleigh number (<em>Ra</em> = 10<sup>3</sup>) and Hartmann number (<em>Ha</em> = 20) taking with different rotations of heated triangular block. The results have been shown in the form of streamlines, temperature patterns or isotherms, average Nusselt number and average bulk temperature of the fluid in the enclosure at non-uniform heating of bottom wall. It is also indicated that both the streamlines, isotherm patterns strongly depend on the aforesaid governing parameters and location of the triangular block but the thermal conductivity of the triangular block has a noteworthy role on the isotherm pattern lines. Moreover, the variation of <em>Nu</em><sub>av</sub> of hot bottom wall and <em>θ</em><sub>av</sub> in the enclosure is demonstrated here to show the characteristics of heat transfer in the enclosure.展开更多
We develop a dynamical model to understand the underlying dynamics of TUBERCULOSIS infection at population level. The model, which integrates the treatment of individuals, the infections of latent and recovery individ...We develop a dynamical model to understand the underlying dynamics of TUBERCULOSIS infection at population level. The model, which integrates the treatment of individuals, the infections of latent and recovery individuals, is rigorously analyzed to acquire insight into its dynamical features. The phenomenon resulted due to the exogenous infection of TUBERCULOSIS disease. The mathematical analysis reveals that the model exhibits a backward bifurcation when TB treatment remains of infected class. It is shown that, in the absence of treatment, the model has a disease-free equilibrium (DEF) which is globally asymptotically stable (GAS) and the associated reproduction threshold is less than unity. Further, the model has a unique endemic equilibrium (EEP), for a special case, whenever the associated reproduction threshold quantity exceeds unity. For a special case, the EEP is GAS using the central manifold theorem of Castillo-Chavez.展开更多
In this paper,we investigate the Riemann solutions of the non-isentropic Euler equations for the modified Chaplygin gas and the pure Chaplygin gas,which are the set of all rarefaction waves,shock waves,contact discont...In this paper,we investigate the Riemann solutions of the non-isentropic Euler equations for the modified Chaplygin gas and the pure Chaplygin gas,which are the set of all rarefaction waves,shock waves,contact discontinuity andδ-shock waves.Under some appropriate conditions,by studing the limiting behavior,we find that the Riemann solutions of modified Chaplygin gas is the same as pure Chaplygin gas including theδ-shock waves.展开更多
The reflection of a weak shock wave is considered using a shock polar. We present a sufficient condition under which the von Neumann paradox appears for the Euler equations.In an attempt to resolve the von Neumann par...The reflection of a weak shock wave is considered using a shock polar. We present a sufficient condition under which the von Neumann paradox appears for the Euler equations.In an attempt to resolve the von Neumann paradox for the Euler equations, two new types of reflection configuration, one called the von Neumann reflection(vNR) and the other called the Guderley reflection(GR), are observed in numerical calculations. Finally, we obtain that GR is a reasonable configuration and vNR is an unreasonable configuration to resolve the von Neumann paradox.展开更多
We extend basic entropies in the classical information theory to matrix ones in the quantum information theory. Then we show that relations between matrix entropies similar to the classical ones hold.
This paper investigates a multi-resolution digital Earth model called PYXIS,which was developed by PYXIS Innovation Inc.The PYXIS hexagonal grids employ an efficient hierarchical labeling scheme for addressing pixels....This paper investigates a multi-resolution digital Earth model called PYXIS,which was developed by PYXIS Innovation Inc.The PYXIS hexagonal grids employ an efficient hierarchical labeling scheme for addressing pixels.We provide a recursive definition of the PYXIS grids,a systematic approach to the labeling,an algorithm to add PYXIS labels,and a discussion of the discrete Fourier transform on PYXIS grids.展开更多
文摘The impact of Cr3+ ion on the magnetic properties of Mn0.50Zn0.50CrxFe2-xO4 (with x = 0.0, 0.1, 0.2, 0.3, 0.4 and 0.5) has been studied. Ferrite samples were synthesized by combustion method and sintered at various temperatures (1250°C, 1300°C and 1350°C). The structural properties were investigated by means of X-ray diffraction patterns and indicated that the samples possess single phase cubic spinel structure. The lattice parameter decreases with the increase in Cr3+ content, as the ionic radius of Cr3+ ion is smaller than that of Fe3+. The average grain size (D), bulk density (ρB) and initial permeability (μi’ )decreases with increase in Cr3+ content whereas porosity follows its opposite trend. The ρB was found to increase with increase in Cr3+ content as the sintering temperature (Ts) is increased from 1250°C to 1350°C. The Ts affects the densification, grain growth and (μi’ ) of the samples. The (μi’ ) strongly depends on average grain size, density and intragranular porosity. The B-H loops of the compositions were measured at room temperature. The saturation magnetization (Ms), coercivity (Hc) and hysteresis losses were studied as a function of Cr3+ content. The Ms was found to decrease with the increase of Cr3+ content, which is attributed to the dilution of A-B interaction.
基金Supported by the Matsumae International Foundation in Japan for Raweewan Srisawat,Faculty of Tropical Medicine grant,Grants-in-Aid(Kiban-B,#25300053)from Japan Society for the Promotion of Science(JSPS)Research Program on Emerging and Re-emerging Infectious Diseases(H26-shinkou-jitsuyouka-007)from the Japan Agency for Medical Research and Development(AMED)
文摘Objective: To evaluate the potential of local mosquitoes to act as vectors for dengue transmission in Japan.Methods: Serotype 2 Th NH28/93 was used to test the dengue susceptibility profiles of Aedes flavopictus miyarai(Ae. f. miyarai), Aedes galloisi(Ae. galloisi) and Aedes albopictus(Ae.albopictus), which were collected in Japan. We used Aedes aegypti from Thailand as a positive control. The mosquitoes were infected with the virus intrathoracically or orally. At 10 or 14 days post infection, the mosquitoes were dissected and total RNA was extracted from their abdomens, thoraxes, heads and legs. Mosquito susceptibility to dengue virus was evaluated using RT-PCR with dengue virus-specific primers. Differences in the infection and mortality rates of the different mosquito species were tested using Fisher's exact probability test.Results: The infection rates for dengue virus administered intrathoracically to Ae. f. miyarai,Ae. galloisi and Aedes aegypti mosquitoes were identical by RT-PCR on Day 10 post infection.All of the body parts we tested were RT-PCR-positive for dengue virus. For the orally administered virus, the infection rates in the different body parts of the Ae. f. miyarai mosquitoes were slightly higher than those of Ae. albopictus mosquitoes, but were similar to the control mosquitoes(P > 0.05). The mortality rates for Ae. f. miyarai and Ae. albopictus mosquitoes were similar(P = 0.19). Our data indicated that dengue virus was able to replicate and disseminate to secondary infection sites in all of the four mosquito species(Japanese and Thai).Conclusions: Ae. albopictus is a well-known candidate for dengue transmission in Japan. However, our data suggest that Ae. f. miyarai from Ishigaki Island(near Okinawa Island) and Ae. galloisi from Hokkaido(Northern Japan) should also be regarded as potential vectors for dengue transmission in these regions. Further studies on these mosquitoes should be conducted.
基金supported by the National Science and Technology Innovation 2030 Major Project of China(2021ZD0203900)NSFC grants(81822017,82271530,32241015 and 31900765)+4 种基金Science and Technology Commission of Shanghai Municipality(23ZR1480800,22QA1407900,23XD1423000 and 21YF1439700)Shanghai Municipal Commission of Health(2022JC016)Shanghai Municipal Education Commission-Gaofeng Clinical Medicine Grant Support(20181715)Lingang Laboratory(grant no:LG-QS-202203-10)the Innovation teams of high-level universities in Shanghai,China.
文摘Craving is a key component of substance use disorders(SUDs).1 In recent decades,repetitive transcranial magnetic stimulation(rTMS)has emerged as a promising treatment for individuals with SUDs by reducing their drug cravings and drug-associated cues,including methamphetamine,heroin,cocaine,nicotine and alcohol.2–7 Recently,the transdiagnostic consistency of the medial prefrontal cortex(MPFC)8 and anterior cingulate cortex(ACC)9 as neural substrates underlying cue reactivity was proposed.
文摘Mn0.50-xZn0.50CuxFe2O4 (where x = 0.0 - 0.3) ferrites have been synthesized by auto combustion method. X-ray diffraction patterns reveal that all compositions are of single phase cubic spinel structure. The lattice parameter decreases with the increase in Cu2+ content obeying the Vegard’s law. The bulk density, average grain size, initial permeability, Néel temperature and saturation magnetic induction of Mn0.50-xZn0.50CuxFe2O4 increased with increasing Cu2+content. It is observed that both density and initial permeability increase with increasing sintering temperature. The maximum initial permeability is found to be 1061 which is almost four times greater than that of the parent composition. The resonance frequency of all the samples shifts towards the lower frequency as the permeability increases with Cu2+ content. It is observed from B-H loops of Mn0.50-xZn0.50CuxFe2O4 that coercivity decreases and retentivity increases with Cu2+ content. Possible explanations for the observed magnetic properties with various Cu2+ contents are discussed.
文摘The baseline study profiled Black-chin Tilapia(Sarotherodon.melanotheron),a fish farm pest species in Bataan,Philippines,in terms of yield(processing and fillet),proximate composition(moisture,ash,crude fat,and crude protein),heavy metal load(cadmium[Cd],lead[Pb],arsenic[As],and mercury[Hg]),and microbial count(aerobic plate,Escherichia coli,and Staphylococcus aureus counts).The purpose was to establish the species’safety and quality for consumption and potential utilization in the processing of higher value fishery products.A completely randomized experiment using two factors,fish size(standard and small sizes)and collection season(dry and wet seasons),was employed.The collected data were also compared against food consumption and processing standards and/or previous reports on more valuable species.The results showed that the species has a comparable yield and mineral load with the more popular farmed Nile Tilapia(Oreochromis niloticus).It has high moisture and protein compositions.It is a lean fish that can serve as a cheaper functional raw material for processed fishery products.Moreover,the results showed that the species have no As,Cd,and Pb contamination,although traces of Hg,far below the permissible limits,were detected.The Hg load varies across collection season and fish maturity suggesting its manageability.For the microbial contents,the species’aerobic plate,Escherichia coli,and Staphylococcus aureus counts were far below the standard limits,although best post-capture practices are still suggested due to the kind of microbial parameters measured.It was concluded that the Sarotherodon melanotheron infesting Bataan farm ponds can be consumed safely and has the quality of potential raw material for processed fishery products.However,further information is still needed to establish the best post-capture handling on the species.Also,more studies must be done to determine the impact of storage and processing on its stability.
文摘Air quality is a critical concern for public health and environmental regulation. The Air Quality Index (AQI), a widely adopted index by the US Environmental Protection Agency (EPA), serves as a crucial metric for reporting site-specific air pollution levels. Accurately predicting air quality, as measured by the AQI, is essential for effective air pollution management. In this study, we aim to identify the most reliable regression model among linear discriminant analysis (LDA), quadratic discriminant analysis (QDA), logistic regression, and K-nearest neighbors (KNN). We conducted four different regression analyses using a machine learning approach to determine the model with the best performance. By employing the confusion matrix and error percentages, we selected the best-performing model, which yielded prediction error rates of 22%, 23%, 20%, and 27%, respectively, for LDA, QDA, logistic regression, and KNN models. The logistic regression model outperformed the other three statistical models in predicting AQI. Understanding these models' performance can help address an existing gap in air quality research and contribute to the integration of regression techniques in AQI studies, ultimately benefiting stakeholders like environmental regulators, healthcare professionals, urban planners, and researchers.
文摘A numerical research on magnetohydrodynamic mixed convection flow in a lid-driven trapezoidal enclosure at non-uniform heating of bottom wall has been studied numerically. The enclosure consists of insulated top wall and cold side walls, too. It also contains a heated triangular block (<em>Rot</em> = 0<span style="font-family:Verdana, Helvetica, Arial;white-space:normal;background-color:#FFFFFF;">°</span> - 90<span style="font-family:Verdana, Helvetica, Arial;white-space:normal;background-color:#FFFFFF;">°</span>) located somewhere inside the enclosure. The boundary top wall of the enclosure is moving through uniform speed <em>U</em><sub>0</sub>. The geometry of the model has been represented mathematically by coupled governing equations in accordance with proper boundary conditions and then a two-dimensional Galerkin finite element based numerical approach has been adopted to solve this paper. The numerical computations have been carried out for the wide range of parameters Prandtl number (0.5 ≤ <em>Pr</em> ≤ 2), Reynolds number (60 ≤ <em>Re</em> ≤ 120), Rayleigh number (<em>Ra</em> = 10<sup>3</sup>) and Hartmann number (<em>Ha</em> = 20) taking with different rotations of heated triangular block. The results have been shown in the form of streamlines, temperature patterns or isotherms, average Nusselt number and average bulk temperature of the fluid in the enclosure at non-uniform heating of bottom wall. It is also indicated that both the streamlines, isotherm patterns strongly depend on the aforesaid governing parameters and location of the triangular block but the thermal conductivity of the triangular block has a noteworthy role on the isotherm pattern lines. Moreover, the variation of <em>Nu</em><sub>av</sub> of hot bottom wall and <em>θ</em><sub>av</sub> in the enclosure is demonstrated here to show the characteristics of heat transfer in the enclosure.
文摘We develop a dynamical model to understand the underlying dynamics of TUBERCULOSIS infection at population level. The model, which integrates the treatment of individuals, the infections of latent and recovery individuals, is rigorously analyzed to acquire insight into its dynamical features. The phenomenon resulted due to the exogenous infection of TUBERCULOSIS disease. The mathematical analysis reveals that the model exhibits a backward bifurcation when TB treatment remains of infected class. It is shown that, in the absence of treatment, the model has a disease-free equilibrium (DEF) which is globally asymptotically stable (GAS) and the associated reproduction threshold is less than unity. Further, the model has a unique endemic equilibrium (EEP), for a special case, whenever the associated reproduction threshold quantity exceeds unity. For a special case, the EEP is GAS using the central manifold theorem of Castillo-Chavez.
基金Academic Discipline Project of Shanghai Dianji University(Grant No.16JCXK02)。
文摘In this paper,we investigate the Riemann solutions of the non-isentropic Euler equations for the modified Chaplygin gas and the pure Chaplygin gas,which are the set of all rarefaction waves,shock waves,contact discontinuity andδ-shock waves.Under some appropriate conditions,by studing the limiting behavior,we find that the Riemann solutions of modified Chaplygin gas is the same as pure Chaplygin gas including theδ-shock waves.
基金Supported by Academic Discipline Project of Shanghai Dianji University (16JCXK02)Three campus Programs of Shanghai Dianji University (B1-0288-20-014-03-05)。
文摘The reflection of a weak shock wave is considered using a shock polar. We present a sufficient condition under which the von Neumann paradox appears for the Euler equations.In an attempt to resolve the von Neumann paradox for the Euler equations, two new types of reflection configuration, one called the von Neumann reflection(vNR) and the other called the Guderley reflection(GR), are observed in numerical calculations. Finally, we obtain that GR is a reasonable configuration and vNR is an unreasonable configuration to resolve the von Neumann paradox.
文摘We extend basic entropies in the classical information theory to matrix ones in the quantum information theory. Then we show that relations between matrix entropies similar to the classical ones hold.
文摘This paper investigates a multi-resolution digital Earth model called PYXIS,which was developed by PYXIS Innovation Inc.The PYXIS hexagonal grids employ an efficient hierarchical labeling scheme for addressing pixels.We provide a recursive definition of the PYXIS grids,a systematic approach to the labeling,an algorithm to add PYXIS labels,and a discussion of the discrete Fourier transform on PYXIS grids.