Separate Reference Research Articles

Input-output linearized spacecraft formation control via differential drag using relative orbital elements

The derivation, implementation, and performance assessment of a differential drag based algorithm, designed for spacecraft formation control using a relative orbital elements formulation, is presented. In contrast to similar approaches found in literature, the underlying motion dynamics model used to derive the control law includes J 2 perturbation as well as atmospheric drag perturbation based on a nonlinear density model. The basic idea of the control algorithm is to algebraically transform the nonlinear plant into a linear substitute. The resulting control law can be interpreted as combined feedforward and feedback PID control, applied to the linear substitute model. Motion dynamics and perturbations are accounted for in a feedforward branch while a PID feedback branch undertakes the cancellation of errors caused by model uncertainties and unmodeled physics. For linearized plant models, the computation of a feedforward branch is straight forward from the state transition matrix. In the nonlinear case proposed in this paper, the inclusion of a feedforward signal is achieved using the input-output linearization technique, yielding a nonlinear and globally valid control law. Sample numerical simulations are presented to support the validity of the controller and to demonstrate its performance compared to a simple PID controller. Simulation results show enhanced tracking performance of the mean along-track separation reference signal and reduced control effort. Moreover, input–output linearization enables the control of a large set of operating points using one set of control parameters.

Thermodynamic Modeling of Boron Species in the Ternary System Na2O-B2O3-H2O at 298.15 K

The solubilities; concentration of four boron species B(OH)3, B(OH)4−, B3O3(OH)4−, and B4O5(OH)42−; and H+ (OH–) in the system Na2O–B2O3–H2O were calculated with the Pitzer model. The boron species B5O6(OH)4− was not considered in the model calculation. The calculated solubility and pH data are in accordance with the experimental results. The Pitzer model can be used to describe the experimental values. The distributions of the four boron species in the solution were obtained. The mole fractions of the four boron species are mainly affected by the ratio of B2O3 and Na2O in the solution. The dominant boron species in the solution saturated with different salts vary greatly. The results can supply a theoretical reference for sodium borate separation from brine.

Improving Genomic Prediction of Crossbred and Purebred Dairy Cattle.

This study assessed the accuracy and bias of genomic prediction (GP) in purebred Holstein (H) and Jersey (J) as well as crossbred (H and J) validation cows using different reference sets and prediction strategies. The reference sets were made up of different combinations of 36,695 H and J purebreds and crossbreds. Additionally, the effect of using different sets of marker genotypes on GP was studied (conventional panel: 50k, custom panel enriched with, or close to, causal mutations: XT_50k, and conventional high-density with a limited custom set: pruned HDnGBS). We also compared the use of genomic best linear unbiased prediction (GBLUP) and Bayesian (emBayesR) models, and the traits tested were milk, fat, and protein yields. On average, by including crossbred cows in the reference population, the prediction accuracies increased by 0.01–0.08 and were less biased (regression coefficient closer to 1 by 0.02–0.16), and the benefit was greater for crossbreds compared to purebreds. The accuracy of prediction increased by 0.02 using XT_50k compared to 50k genotypes without affecting the bias. Although using pruned HDnGBS instead of 50k also increased the prediction accuracy by about 0.02, it increased the bias for purebred predictions in emBayesR models. Generally, emBayesR outperformed GBLUP for prediction accuracy when using 50k or pruned HDnGBS genotypes, but the benefits diminished with XT_50k genotypes. Crossbred predictions derived from a joint pure H and J reference were similar in accuracy to crossbred predictions derived from the two separate purebred reference sets and combined proportional to breed composition. However, the latter approach was less biased by 0.13. Most interestingly, using an equalized breed reference instead of an H-dominated reference, on average, reduced the bias of prediction by 0.16–0.19 and increased the accuracy by 0.04 for crossbred and J cows, with a little change in the H accuracy. In conclusion, we observed improved genomic predictions for both crossbreds and purebreds by equalizing breed contributions in a mixed breed reference that included crossbred cows. Furthermore, we demonstrate, that compared to the conventional 50k or high-density panels, our customized set of 50k sequence markers improved or matched the prediction accuracy and reduced bias with both GBLUP and Bayesian models.

Transverse cerebellar diameter: a reliable predictor of gestational age.

To determine accuracy of transverse cerebellar diameter (TCD) measurement in the prediction of gestational age (GA) in normal fetuses; to develop reference chart for TCD according to GA in Indian population. A retrospective cross-sectional study. Ultrasonographic measurements in 300 singleton pregnant women included biparietal diameter (cm), head circumference (cm), abdominal circumference (cm), femur length (cm) and transverse cerebellar diameter (cm). Reference chart with mean TCD for corresponding gestational age (GA) in weeks was developed. Statistically significant relationship found between TCD and gestational age (R2=0.92, p=0.0006). Regression formulae based on TCD with other parameter can be used to predict gestational age of foetus. When TCD is compared with findings in other studies in different ethnic population, it is found that there is significant difference exists. In normally developing fetuses the TCD has linear correlation with advancing gestational age. A separate reference chart is required for every different population because ethnicity, nutrition and environmental factors can have impact on normal TCD values. This will help to avoid misinterpretation of data to determine gestational age.

Abstract PO-088: Low levels of PSA in diabetic Nigerians: A call for a separate reference range for prostate cancer screening among type-2 diabetics?

Abstract INTRODUCTION Diabetic patients are at higher risk of developing malignancies. Studies have however suggested a contrasting data, indicating lower risk of prostate cancer in type 2 diabetics. Studies in some parts of the world showed lower PSA levels in diabetic patients, but yet to be verified in African living in Africa. AIM The aim was to determine the levels of PSA in Diabetic and Non-diabetic men in Maiduguri-Nigeria and to ascertain similar lower values in African living in Africa. MATERIALS AND METHODS This was a hospital based case-control study that included a total of 132 participants whose ages were from 40 years and above and voluntarily consented to be part of this study. Ethical clearance was obtained from Ethics and Research Committee of the University of Maiduguri Teaching Hospital, structured questionnaire was self-administered. One hundred and four (104) were confirmed type 2 DM male attending Metabolic Clinic University of Maiduguri Teaching Hospital and twenty eight (28) non-diabetic men, who had no history of hypertension, not using antihypertensives or steroid drugs, no history of cardiovascular diseases, not using anti-lipid drugs; not having cancer; non-smokers and non-alcoholic consented and served as control. Data on family history of DM, duration of the disease, hypertension and social lifestyle recorded for diabetic patients. Weight, height and BMI were calculated, Blood pressure, fasting glucose and serum for PSA were determined. RESULTS The mean ages of diabetic and non- diabetic men were 53.3 ± 11.8 and 53.9 ± 6.1 years, respectively. The mean total serum PSA was significantly lower in diabetic compared to non-diabetic (0.72 ± 0.09 ng/ml vs. 2.50 ± 0.44 ng/ml, respectively, p = 0.000). The mean fasting glucose was significantly higher among diabetic compared to non-diabetic p = 0.006). Diabetics were grouped into 5 according to their age (40 -49, 50-59, 60-69,70-79, ≥ 80). The age 70-79 years has the highest mean PSA level than all other groups (1.19 ± 0.45ng/ml), while age group ≥ 80 years has the least PSA value of (0.15 ± 0.05ng/ml). The mean fasting glucose is lowest in age group of ≥ 80years and highest in age groups of 50-59 and 40-49years (7.78 ± 0.68 and 7.56 ± 0.63mmol/L) respectively. The treatment modality was grouped into five; insulin 5(4.8%), oral 73(70.2%), oral and insulin 8(7.7%) and diet 18 (13.6%). Oral and insulin treatment has higher level of PSA (1.29 ±1.03 ng/ml) compared to all the other groups. The PSA levels were grouped based on the duration of diagnosis of DM (0-5, 6-10, 11-15, 16-20 and ≥ 21years) and 11-15 years duration have high levels of PSA than the other group. There was significant Pearson’s Correlation between PSA and age, systolic and diastolic (p=0.000, p=0.002 and p=0.006) respectively. CONCLUSION serum PSA level is significantly lower in type 2 diabetics than in non-diabetics in this study. This study and other findings recommend establishment of separate reference interval for Type 2 diabetic men for appropriate evaluation of their prostatic diseases using the PSA Citation Format: Rebecca Mtaku Gali, Dahiru Saleh Mshelia, Jessy Thomas Medugu, Musa Dungus, Hassan Dogo, Haruna Asura Nggada, Bata Mtaku Gali, Mwajim Bukar, Ahmad Gadam Ibrahim, Galadima Gadzama, Abubakar Farate. Low levels of PSA in diabetic Nigerians: A call for a separate reference range for prostate cancer screening among type-2 diabetics? [abstract]. In: Proceedings of the AACR Virtual Conference: Thirteenth AACR Conference on the Science of Cancer Health Disparities in Racial/Ethnic Minorities and the Medically Underserved; 2020 Oct 2-4. Philadelphia (PA): AACR; Cancer Epidemiol Biomarkers Prev 2020;29(12 Suppl):Abstract nr PO-088.

Reference Values of Hematological, Biochemical and Endocrinological Parameters in the Blood of Piglets Aged 1 and 21 Days

Summary The purpose of this paper is to determine the reference ranges for hematological, biochemical and endocrinological parameters in the blood of the commercial F1 Landrace x Yorkshire and Yorkshire x Landrace piglets aged 1 and 21 days. A total of 72 animals were enrolled in this study. The following reference ranges were determined for the blood parameters considered (day 1 vs. day 21): WBC 10.0-12.4 vs. 11.5-13.7 × 109/L; RBC 3.72-4.06 vs. 5.25-5.73 × 1012/L; HGB 71.4-79.0 vs. 100-110 g/L; HCT 24.4-26.5 vs. 35.7-39.1 %; MCV 64.4-66.0 vs. 72.7-74.8 fL; MCH 20.9-21.7 vs. 24.7-25.6 pg; MCHC 321-329 vs. 367-378 g/L; AST 78.5-98.9 vs. 51.8-66 U/L; ALT 72.5-84.5 vs. 65.9-76.5 U/L; CHOL 2.41-2.71 vs. 3.81-4.27 mmol/L; TGC 1.55-1.93 vs. 1.85-2.25 mmol/L; GLU 5.58-6.24 vs. 5.97-6.67 mmol/L; TPROT 55.2-59.4 vs. 65-69.9 g/L; ALB 13.4-15.1 vs. 27.8-30.9 g/L, GLOB 41.3-44.8 vs. 35.3-40.9 g/L; UREA mmol/L; TBIL 36.6-44.5 vs. 29.4-40.8 μmol/L; ALFAAMYLASE 897-998 vs. 851-949 U/L; LIPASE 74.1-79.7 vs. 88.3-98.1 U/L; CORT 140-196 vs. 41.4-63.8 ng/mL; INSUL 4.04-5.68 vs. 1.71-2.41 μU/L. The RBC, HGB, HCT, MCV, MCH, and MCHC values recorded were found to be higher in the piglets aged 21 days than those in the piglets aged 1 day. The total leukocyte count did not differ between the experimental groups. Lower AST, ALT, globulin, cortisol and insulin values were detected in the piglets aged 21 days than those in the piglets aged 1 day. However, the values of triglycerides, cholesterol, total protein, albumin and lipase were found to be higher in the piglets aged 21 days than those in the piglets aged 1 day. The glucose, alpha amylase and total bilirubin (TBIL) values did not differ significantly between the experimental groups. The Kolmogorov-Smirnov test conducted shows that there are significant differences in the frequency distribution of most of the blood parameters tested in the pigs aged 1 and 21 days, which confirms that a separate reference interval must be determined and applied to the respective piglet ages considered. The establishment of reference values for different age categories can facilitate the assessment of health status and productive performance of farm piglets.

Establishing reference intervals of 20 biochemical markers for children in Southwestern Fujian, China based on the UniCel DxC 800 system

To date, China has no industry standard for reference intervals of paediatric blood biochemical markers. This study aimed to evaluate changes in biochemical markers in the venous blood of healthy children aged 29 days to 12 years, derived from the UniCel DxC 800 system, and establish appropriate reference intervals. We analysed venous blood from 1980 healthy children for 20 biochemical markers. Reference intervals were established according to the Clinical and Laboratory Standards Institute C28-A3c guideline and compared with those of adults in China. All markers except for sodium and chlorine required partitioning by age, but not by sex. The reference intervals of total protein, albumin, globulin, carbon dioxide, urea nitrogen, creatinine and uric acid consistently increased with age in children, but were always lower than those of adults. Children aged 29 days to 12 years had a single combined RI for sodium and chloride, respectively; although the reference intervals in children were similar to those of adults, their upper limits were lower. The reference intervals of direct bilirubin, alanine aminotransferase, aspartate aminotransferase, alkaline phosphatase, potassium, calcium, magnesium, and phosphorus continued to decline with age. The reference intervals of total bilirubin, indirect bilirubin, and gamma-glutamyl transpeptidase initially declined followed by a slight rebound. While establishing reference intervals, most markers required partitioning by age (aged 29 days to 12 years); the partitioning scheme differed for each marker, and paediatric reference intervals differed from those for adults. It is therefore necessary to establish separate paediatric reference intervals.

Establishment of sex-specific reference intervals for automated haematology analyser-delivered research parameters in healthy Korean adults: a retrospective database review

ObjectivesAutomated haematology analysers measure various parameters of relevance to clinical research along with routine complete blood count (CBC)-related components. We aimed to establish ethnicity-specific and sex-specific reference intervals for 26...

Thermodynamic modeling of boron species in brine systems containing metaborate and its application in evaporation simulation

The solubilities in the system NaCl–Na2SO4–NaB(OH)4–H2O and its subsystems were calculated with two models based on Pitzer model. The model I assumes that there are four boron species corresponding to B(OH)3, B(OH)4–, B3O3(OH)4– and B4O5(OH)42– along with OH– in the solution. The model II assumes only one boron species B(OH)4– in the solution. The calculated solubilities are in accordance with the experimental data in the ternary systems NaCl–NaB(OH)4–H2O and Na2SO4–NaB(OH)4–H2O. The assumption of only one boron species B(OH)4− can be applied in the solubility calculation for the systems containing metaborate. The distribution of four boron species were obtained with model I in the borate solution. The mole fraction of the four boron species are mainly affected with the total boron concentration in the solution, but rarely effected by the concentration of Cl– and SO42–. B(OH)4− is the dominant boron species in the metaborate solution. The phase diagram and Pitzer model for the quaternary system were then used to conduct evaporation simulation. The evaporation-crystallization route and order of salt precipitation during the evaporation were demonstrated. The results of the evaporation simulation of brine can be used as a theoretical reference for salt separation and purification from brine resources.

Design and Preparation of Molecularly Imprinted Membranes for Selective Separation of Acteoside.

Acteoside (ACT) belongs to a type of phenylethanoid glycosides (PhGs), and it is worthy of obtaining high-purity due to its significant medicinal functions. In this study, a novel class of MIMs was designed and synthesized with PVDF membranes as the base membrane for high selective separation and enrichment of ACT. The effects of the different functional monomers, the amounts of functional monomers, crosslinking agents, and initiators on the separation properties of MIMs were investigated. Furthermore, adsorption ability, permeation capacity, and reusability of MIMs were discussed for ACT. It indicated that MIM7 was the optimal performance of MIMs. The adsorption ability of MIM7 for ACT was 62.83 mg/g, and the selectivity factor (α) of MIM7 was up to 2.74 and its permeability factor (β) was greater than 2.66. Moreover, the adsorption amount of MIM7 was still more than 88.57% of the initial value after five cycles. As an ACT imprinted layer of MIMs only had recognition sites for ACT molecules, which recombined with the recognition sites in the membrane permeation experiment, ACT molecules penetration was hindered. However, the analogs of ECH successfully passed MIMs. It indicated that the selective MIMs for ACT followed the mechanism of delayed permeation. This work provides an important reference for the high permselective separation of natural products.

Spatial mapping of the collagen distribution in human and mouse tissues by force volume atomic force microscopy

Changes in the elastic properties of living tissues during normal development and in pathological processes are often due to modifications of the collagen component of the extracellular matrix at various length scales. Force volume AFM can precisely capture the mechanical properties of biological samples with force sensitivity and spatial resolution. The integration of AFM data with data of the molecular composition contributes to understanding the interplay between tissue biochemistry, organization and function. The detection of micrometer-size, heterogeneous domains at different elastic moduli in tissue sections by AFM has remained elusive so far, due to the lack of correlations with histological, optical and biochemical assessments. In this work, force volume AFM is used to identify collagen-enriched domains, naturally present in human and mouse tissues, by their elastic modulus. Collagen identification is obtained in a robust way and affordable timescales, through an optimal design of the sample preparation method and AFM parameters for faster scan with micrometer resolution. The choice of a separate reference sample stained for collagen allows correlating elastic modulus with collagen amount and position with high statistical significance. The proposed preparation method ensures safe handling of the tissue sections guarantees the preservation of their micromechanical characteristics over time and makes it much easier to perform correlation experiments with different biomarkers independently.

Insight into separation of azeotrope in wastewater to achieve cleaner production by extractive distillation and pressure-swing distillation based on phase equilibrium

There are a large number of azeotropes in the binary system of alkanes and alcohols in the industrial wastewater from the reaction of vanadium pentoxide with alkanes to produce alkylvanadate. In order to protect the environment, utilize resources and clean production, the extractive distillation process with high boiling solvent as extractant is usually used to separate the azeotropes in industrial products. However, some intermediate-boiling solvents compared with the two key components to be separated are used as extractant in extractive distillation. In this work, the binary azeotropic system of n-heptane and isoamyl alcohol in wastewater was separated by extractive distillation with intermediate-boiling solvents, pressure-swing distillation and pressure-swing distillation with thermal integration. The binary interaction parameters of isoamyl alcohol and butyl acetate were obtained by correlating and regressing the experimental data of vapor-liquid equilibrium at atmospheric pressure. Taking total annual cost minimum as the objective function, the optimal design parameters of the three processes were obtained by sequential iteration method. Compared with the extractive distillation and pressure-swing distillation, pressure-swing distillation with thermal integration can save the cost up to 29.38%, increase the thermodynamic efficiency up to 445.39%, reduce the global warming potential up to 39.34% and the decrease the acidification potential up to 39.34%. This work provides an effective reference for better separation of azeotropes and wastewater treatment.

Establishment of gender specific reference intervals for hepatic enzymes: A pilot study

Reference interval is the common tools used for interpreting various biochemical parameters. The age, gender, diet, ethnicity, socioeconomic conditions affect the physiology of population and thereby affecting the reference intervals. Thus, it is needed to set up our own reference intervals which are specific to particular gender, region and population.To establish the gender specific reference interval for hepatic enzymes at BIMS Hospital, Belagavi.This was a hospital based cross-sectional study involving 450 subjects. The selected subjects were from the general population, health professionals, medical students and those attending the Out-Patient Department (OPD) for general health check ups. The serum Alanine transaminase (ALT), serum Aspartate transaminase (AST), serum Alkaline phosphatase (ALP) were estimated based on the recommendations of IFCC without pyridoxal phosphate and serum Gamma glutamyl transferase (GGT) by enzymatic colorimetric method. The 97.5 percentile and 2.5 percentile was used to obtain the reference intervals.The serum AST and serum GGT showed the statistically significant difference between the male and female values. Thus separate reference should be considered for both males and females. There was no statistically significant difference in serum ALT and serum ALP levels. Thus generalized reference intervals were established.The study revealed the difference in reference intervals of serum AST and serum GGT between males and females.

Virtual Coupling of Railway Vehicles: Gap Reference for Merge and Separation, Robust Control, and Position Measurement

Virtual coupling, which refers to the operation of railway vehicles that enables the merge and separation of vehicles on the move by controlling the gap between the vehicles without any mechanical coupling, is one of the technologies for increasing the transport capacity and enhancing operational efficiency. This paper proposes a robust gap controller based on sliding mode control with a nonlinear train model with uncertainties. Additionally, a gap reference generation scheme is developed that ensures that the merge and separation of two trains is completed before a given location and respects constraints on acceleration and jerk. The position and velocity measurement errors arising from imperfect knowledge of wheel diameters are also considered, and a new error correction scheme is proposed to reduce the perturbation in the gap control performance. The proposed schemes are validated through simulations.

Leg length and sitting height reference data and charts for children in the United States.

Population-specific reference data are required to interpret growth measurements in children. Sitting height and leg length (standing height minus sitting height) measurements are indicators of proportionality and can be used to evaluate children with disordered growth. NHANES III recorded sitting height and standing height measurements in a strategic random sample of the United States population from 1988 to 1994, and we have previously published reference charts for sitting height to standing height ratio in this population. In this study, we have developed separate sitting height and leg length reference charts for Non-Hispanic Black, Non-Hispanic White, and Mexican-American children in the United States. In addition, we provide mean (SD) and LMS data to support the use of these reference charts in clinical care.

Accounting for differences in linkage disequilibrium in multi-breed genomic prediction

The lack of improvement in prediction accuracy in multi-breed genomic evaluation can be due to the (a) inconsistency in allele substitution effects across breeds, (b) the absence of close family relationships between breeds and (c) between-breed differences in linkage disequilibrium (LD) between single nucleotide polymorphisms (SNPs) and quantitative trait loci that influence a trait across breeds. The objective of this study was to investigate the possibility of improvement in prediction accuracy by accounting for the LD phase differences in a multi-breed reference population. Prediction accuracy was compared in three different scenarios. Scenarios had separate or combined reference population. In the proposed method, when reference population of two breeds were combined, subset of common SNPs between two breeds with high and similar LD phases were identified. Then, A Bayesian Ridge regression model was used to estimated effects for two set of SNPs, SNPs with similar LD phase in both breeds and the remaining SNPs. Results showed that simple pooling of two reference population into a single reference population did not improve prediction accuracy compared to a separate reference population of each breed. However, accounting for LD phase differences in two breeds, improved prediction accuracy compared to separate training and simple pooling of reference populations. This can be appealing for small populations (e.g., beef) that often have relatively small reference population and a combined genetic evaluation is usually performed on multiple breeds.

A New Approach to Dating the Reference Cycle

–This article proposes a new approach to the analysis of the reference cycle turning points, defined on the basis of the specific turning points of a broad set of coincident economic indicators. Each individual pair of specific peaks and troughs from these indicators is viewed as a realization of a mixture of an unspecified number of separate bivariate Gaussian distributions whose different means are the reference turning points. These dates break the sample into separate reference cycle phases, whose shifts are modeled by a hidden Markov chain. The transition probability matrix is constrained so that the specification is equivalent to a multiple change-point model. Bayesian estimation of finite Markov mixture modeling techniques is suggested to estimate the model. Several Monte Carlo experiments are used to show the accuracy of the model to date reference cycles that suffer from short phases, uncertain turning points, small samples, and asymmetric cycles. In the empirical section, we show the high performance of our approach to identifying the US reference cycle, with little difference from the timing of the turning point dates established by the NBER. In a pseudo real-time analysis, we also show the good performance of this methodology in terms of accuracy and speed of detection of turning point dates.

Erythrocyte sedimentation rate and hemoglobin-binding protein in free-living box turtles (Terrapene spp.)

The acute phase response is a highly conserved reaction to infection, inflammation, trauma, stress, and neoplasia. Acute phase assays are useful for wildlife health assessment, however, they are infrequently utilized in reptiles. This study evaluated erythrocyte sedimentation rate (ESR) in eastern (Terrapene carolina carolina) and ornate box turtles (Terrapene ornata ornata) and hemoglobin-binding protein (HBP) in T. ornata. Erythrocyte sedimentation rate in 90 T. carolina and 105 T. ornata was negatively associated with packed cell volume and was greater in unhealthy turtles (p < 0.05). Female T. ornata had higher ESR values than males (p < 0.05). Measurement of ESR with a microhematocrit tube proportionally overestimated values from a commercial kit (Winpette), though both methods may retain utility with separate reference intervals. Hemoglobin-binding protein concentration in 184 T. ornata was significantly increased in adults and unhealthy turtles (p < 0.05). Erythrocyte sedimentation rate values were similar between seasons and populations, and HBP values were consistent between years, indicating that these analytes may have more stable baseline values than traditional health metrics in reptiles. This study demonstrates that ESR and HBP are promising diagnostics for health assessment in wild box turtles. Incorporating these tests into wild herptile health assessment protocols may support conservation efforts and improve ecosystem health monitoring.

Selectable and Releasable Noncovalent Functionalization of Semiconducting SWCNTs by Biethynyl‐2,5‐bis(dodecoxy)benzene Unit‐Containing Conjugated Copolymers

AbstractA rigid structural unit diethynyl‐2,5‐bis(dodecoxy)benzene (DDB) is proposed to functionalize single‐walled carbon nanotubes (SWCNTs) with the assistance of pyrimidine ring. The effectiveness of conjugated polymer extraction of semiconducting SWCNTs is demonstrated by absorption and Raman spectroscopy. The protonated pyrimidine ring by the trifluoroacetic acid is used to reduce the interaction between polymer and SWCNTs that the bound wrapping polymer can be removed from the sorted SWCNTs, and molecular dynamics simulations of the binding ability of DDB and pyrimidine units to SWCNTs are conducted to further illustrate the strong binding ability of DDB units to SWCNTs. Therefore, this work provides an effective structural and theoretical reference for polymer separation or modification of semiconducting SWCNTs.

Measurement of Pure States of Light in the Orbital-Angular-Momentum Basis Using Nine Multipixel Image Acquisitions

The existing techniques for measuring high-dimensional pure states of light in the orbital angular momentum (OAM) basis either involve a large number of single-pixel data acquisitions and substantial postselection errors that increase with dimensionality, involve substantial loss, or require interference with a reference beam of known phase. Here, we propose an interferometric technique that can measure an unknown pure state using only nine multipixel image acquisitions without involving postselection, loss, or a separate reference beam. The technique essentially measures two complex correlation functions of the input field and then employs a recursive postprocessing algorithm to infer the state. We experimentally demonstrate the technique for pure states up to dimensionality of 25, reporting a mean fidelity greater than $90\mathrm{%}$ up to 11 dimensions. Our technique can significantly improve the performance of OAM-based information processing applications.