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Work in teacher noticing has captured to what extent teachers notice students' thinking on paper and pencil tasks and technology tasks, yet no one study has considered how the same group of teachers notices across task types. This study used Jacobs et al.'s (Journal for Research in Mathematics Education, 2010, 41(2), pp: 169–202.) professional noticing of students' thinking framework to guide the design and analysis of prospective secondary mathematics teachers' (PSMTs) noticing of high school students' thinking on two geometry tasks: a paper and pencil task and a technology task. High school students' written work and a video clip were shared as the artifacts from which to notice for each task. PSMTs responded to a set of noticing prompts to capture how they were attending, interpreting, and deciding to respond to students' thinking for each task. Their written responses to these questions were then open coded for each noticing component and codes from each task were compared to reveal any differences in the content of PSMTs' noticing across task types. Results revealed differences between tasks for each component skill of noticing. Implications of these findings for mathematics teacher educators and future research are discussed. [ABSTRACT FROM AUTHOR]

Background: Only a few studies with small sample sizes have compared electronic Objective Structured Clinical Examination (OSCE) rating checklists with traditional paper-based OSCE rating checklists. In this study, the examiner-perceived usability and preference for type of OSCE checklist (electronic vs. paper based) were compared, and the influence of OSCE checklist type on missed ratings was determined, for the Swiss Federal Licensing Examination in clinical skills for human medicine. Methods: All examiners in the Swiss Federal Licensing Examination in clinical skills for human medicine were invited over two subsequent years to evaluate the OSCE checklist type they had worked with during the examination. This was based on a questionnaire with 14 closed questions (i.e., demographic, checklist-type experience, perceived usability, checklist type preference). Furthermore, the numbers of missed ratings for the paper-based checklist were recorded. Results: The data from these examiners (n=377) with experience of both OSCE checklist types were analyzed. The electronic OSCE checklist was rated significantly higher on all usability aspects (i.e., ease of use, candidate rating and error correction, clarity, distraction using the checklist, overall satisfaction), except for the speed of registering comments (no significant difference). The majority of the examiners in both years (2014: 54.5%, n=60, 2015: 89.8%, n=230) reported preference for working with the electronic OSCE checklist in the future. Missed ratings were seen for 14.2% of the paper-based OSCE checklists, which were prevented with the electronic OSCE checklists. Conclusions: Electronic OSCE checklists were rated significantly more user-friendly and were preferred over paper-based OSCE checklists by a broad national sample of examiners, supporting previous results from faculty-level examinations. Furthermore, missed ratings were prevented with the electronic OSCE checklists. Overall, the use of electronic OSCE checklists is therefore advisable. [ABSTRACT FROM AUTHOR]

Pencil drawing is one of the simplest and most cost-effective ways of fabricating miniaturized electrodes on a paper substrate. However, it is limited by the lack of reproducibility regarding the electrode drawing process. A 3D-printed pencil holder (3DPH) is proposed here for simple, reproducible, and low-cost hand-drawn fabrication of paper-based electrochemical devices. 3DPH was designed to keep pressure and angulation of the graphite mine constant on the paper substrate using a micromechanical pencil regardless of the user/operator. This approach significantly improved the reproducibility and cost of making reliable pencil-drawn electrodes. The results showed high reproducibility and accuracy of the 3DPH-assisted electrodes prepared by 4 different operators in terms of sheet resistance and electrochemical behavior. Cyclic voltammetric (CV) curves in the presence of [Fe(CN)6]3−/4− redox probe showed only 3.9% variation for the anodic peak currents of different electrodes prepared by different operators when compared with electrodes prepared without the 3D-printed support. SEM analyses revealed a more uniform graphite deposition/design of the electrodes prepared with 3DPH, which corroborates the results obtained by CV. As a proof of concept, 3DPH-assisted pencil-drawn graphite electrodes were employed for dopamine detection in synthetic saliva, showing a proportional increase in anodic peak current at 0.12 V vs. carbon pRE with increasing dopamine (DA) concentration, with a detection limit of 0.39μmol L−1. Moreover recovery was in the range 93–104% of DA (4–7% RSD) in synthetic saliva for three different concentrations, demonstrating the reliability of the approach. Finally, we believe this approach can make pencil-drawn technology more robust, accessible, reliable, and inexpensive for real on-site applications, especially in hard-to-reach locations or research centers with little investment. [ABSTRACT FROM AUTHOR]

The purpose of this study was to investigate the impact of mLearning or mobile device practice on the attention and accuracy of student's use of math concepts, specifically, telling time. A single subject, alternating treatment design was used to compare mLearning to paper and pencil practice in four 3rd grade male students. Results were mixed; two children were observed to be more on-task during the mLearning practice, and two children were observed to perform similarly across both conditions. Additionally, two children performed similarly on correctly completed problems across both conditions, and two children performed better using paper and pencil practice. All students completed more math problems during the paper and pencil practice. [ABSTRACT FROM AUTHOR]

Student Evaluation of Teaching (SET) instruments can be administered online or with paper and pencil. These procedures involve different interactions between respondents and instruments which could cause errors when administrators and researchers want to compare or relate online results with paper-based results. This study aimed to analyze if the Romanian version of the Student Evaluations of Educational Quality instrument presents similar psychometric characteristics regardless if it is completed online or by paper and pencil. Data was collected from two groups of students (N = 809). One group completed the SEEQ on paper-pencil support (312 responders, 38.6%). The other group completed the scale for the same teachers and courses, but online and one year later. Psychometrical checks and measurement invariance analysis suggested that the Romanian version of SEEQ has passed the internal validity and reliability test and presented configural, metric, and scalar invariance across the results obtained from both administration procedures. • Nowadays, SET instruments are administered online or by paper-pencil procedures. • The procedures involve different interactions between respondents and instruments. • Checking the measure invariance is necessary when using both SET procedures. • The SEEQ has good invariance indices across data collected with both procedures. • The SEEQ has a good fit for the Romanian population. [ABSTRACT FROM AUTHOR]

The COVID-19 pandemic represents a period in time in which people all over the globe witnessed the hypervisibility of white supremacist violence, anti-Black racism, and Black activism on a global scale. Graph Click for larger view View full resolution "Scored Club Vaccine tickets, after waiting for hours" (2021), part of the COVID drawings. Graph Click for larger view View full resolution "You Better Put Some Respek" (2021), part of the COVID drawings. [Extracted from the article]

Paper‐based thermoelectric generators are a promising and economical alternative to expensive organic conductors that are normally preferred for flexible generators. In the present work, graphite pencil traces on regular Xerox paper are successfully employed to constitute a thermoelectric generator. In conjunction with polyethylenimine polymer, the graphite traces act as both the p‐type and n‐type thermoelectric "legs," of a graphite‐based thermoelectric generator. The fabrication method is facile and requires no conducting paste or silver paste to connect individual thermoelectric legs. A test module containing five pairs of p‐n legs is fabricated on paper to test its performance. The device produces a thermoelectric voltage of 9.2 mV, generating an output power of 1.75 nW at a temperature difference of ≈60 K. The present work demonstrates that ordinary pencil on paper may be used as the foundation for a cheap, flexible, easily disposable, and environmentally friendly thermoelectric generator. [ABSTRACT FROM AUTHOR]

[Display omitted] • Developing a superhydrophobic, kirigami, stretchable pencil-on-paper device platform. • Simultaneously detecting gas, temperature, electrophysiological signals, and providing treatments via thermal therapy and electrical stimulation. • The gas sensor exhibits a large response to NO 2 gas at elevated temperature from self-heating. • The integrated temperature sensor and electrodes accurately detect temperature and electrophysiological signals. • The thermal therapy and electrical stimulation deliver effective means to battle against inflammation/infection and treat chronic wounds. Wearable electronics with applications in healthcare, human–machine interfaces, and robotics often explore complex manufacturing procedures and are not disposable. Although the use of conductive pencil patterns on cellulose paper provides inexpensive, disposable sensors, they have limited stretchability and are easily affected by variations in the ambient environment. This work presents the combination of pencil-on-paper with the hydrophobic fumed SiO 2 (Hf-SiO 2) coating and stretchable kirigami structures from laser cutting to prepare a superhydrophobic, stretchable pencil-on-paper multifunctional sensing platform. The resulting sensor exhibits a large response to NO 2 gas at elevated temperature from self-heating, which is minimally affected by the variations in the ambient temperature and relative humidity, as well as mechanical deformations such as bending and stretching states. The integrated temperature sensor and electrodes with the sensing platform can accurately detect temperature and electrophysiological signals to alert for adverse thermal effects and cardiopulmonary diseases. The thermal therapy and electrical stimulation provided by the platform can also deliver effective means to battle against inflammation/infection and treat chronic wounds. The superhydrophobic pencil-on-paper multifunctional device platform provides a low-cost, disposable solution to disease diagnostic confirmation and early treatment for personal and population health. [ABSTRACT FROM AUTHOR]

The ability to compare symbolic numerical magnitudes correlates with children's concurrent and future mathematics achievement. We developed and evaluated a quick timed paper-and-pencil measure that can easily be used, for example in large-scale research, in which children have to cross out the numerically larger of two Arabic one- and two-digit numbers (SYMP Test). We investigated performance on this test in 1,588 primary school children (Grades 1-6) and examined in each grade its associations with mathematics achievement. The SYMP Test had satisfactory test-retest reliability. The SYMP Test showed significant and stable correlations with mathematics achievement for both one-digit and two-digit comparison, across all grades. This replicates the previously observed association between symbolic numerical magnitude processing and mathematics achievement, but extends it by showing that the association is observed in all grades in primary education and occurs for single- as well as multi-digit processing. Children with mathematical learning difficulties performed significantly lower on one-digit comparison and two-digit comparison in all grades. This all suggests satisfactory construct and criterion-related validity of the SYMP Test, which can be used in research, when performing large-scale (intervention) studies, and by practitioners, as screening measure to identify children at risk for mathematical difficulties or dyscalculia. [ABSTRACT FROM AUTHOR]

In some previous research studies, quite successful results have been obtained in using online tools to increase students' academic achievement. In many fields; the benefits of online formative quizzes have been widely recognized by educators. However, there is little research determining whether weekly formative online exams affect students' academic achievement, especially in engineering courses. In this quasi‐experimental study, it was investigated whether the weekly quiz application method had an effect on students' academic achievement in an engineering course. One hundred and ninety sophomores participated in the study. Although the experimental group (n = 81) used the quizzes prepared on the Course Portal online to learn the Sensors and Transducers Unit, the control group (n = 109) solved the quizzes in the textbook on a paper‐pencil basis. After the online quizzes were solved, the experimental group was given which questions they answered incorrectly and the related video link of these incorrectly answered questions, and the relevant section of the book was given by the Course Portal as feedback. The pretest and posttest data of the students were obtained, and analysis of covariance was utilized as the analysis method to reveal the answer to the study question. The statistical analysis of the students' average achievement scores in the posttest (midterm exam) showed that the experimental group's average achievement score was significantly better than the control group. Results show that online weekly exams have significant effects on students' academic achievement. Weekly online quizzes are recommended to engineering lecturers as they offer students to improve their students' academic success. [ABSTRACT FROM AUTHOR]

Herein, we introduce a low-cost and straightforward method for preparing pH sensors based on parchment-type paper and pencil traces as a base and electrode, respectively. The hydrophobic feature of the parchment paper supports the relatively long life of the proposed pH sensor. The results indicate that the present sensors have a Nernstian response with a Nernstian slope of 52.1 ± 1.5 mV/pH and a good linearity of 0.995 from pH 4 to 10. The stability of the proposed electrode is approximately 0.75 mV/h. The prepared electrodes show a relatively long operating life compared with the published results of ordinary paper-based pH devices. However, the Nernstian factor decreases over time and stabilizes at approximately 28 mV/pH after two months. This approach provides a low-cost and reproducible pH sensor. [ABSTRACT FROM AUTHOR]

The article reports that Suman Chakraborty, a professor of Mechanical Engineering at the Indian Institute of Technology, Kharagpur won the 2022 Infosys Prize in Engineering and Computer Science for his contributions to deepening the understanding of fluid mechanics at micro and nanoscales. Topics include examines Chakraborty's innovations have led to the development of low-cost medical devices for healthcare in resource-limited areas.

Electronic capacitors were constructed via hand-printing on paper using pencil graphite. Graphite traces were used to draw conductive connections and capacitor plates on opposing sides of a sheet of standard notebook paper. The paper served as the dielectric separating the plates. Capacitance of the devices was generally < 1000 pF and scaled with surface area of the plate electrodes. By combining a pencil-drawn capacitor with an additional resistive pencil trace, an RC low-pass filter was demonstrated. Further utility of the pencil-on-paper devices was demonstrated through description of a capacitive force transducer and reversible chemical sensing. The latter was achieved for water vapor when the hygroscopic cellulose matrix of the paper capacitor’s dielectric adsorbed water. The construction and demonstration of pencil-on-paper capacitive elements broadens the scope of paper-based electronic circuits while allowing new opportunities in the rapidly expanding field of paper-based sensors. [ABSTRACT FROM AUTHOR]

We propose here a quick and easy procedure for preparing pencil leads doped with Ag and AgCl suitable for the reproducible and easy drawing on paper or other porous supports of carbon based Ag/AgCl conductive lines for the use as reference electrodes. They were prepared by careful electrodeposition of silver and silver chloride on carbon powder (conductive material) which was then mixed with sodium bentonite (binding agent) and sodium silicate (hardening agent). Extrusion at room temperature of these mixtures from a suitable die allowed thin rods to be obtained, which were then inserted in commercial lead holders to facilitate their use for drawing electrodes on paper. Their performance was evaluated by voltammetric measurements conducted by using hexacyanoferrate(II) and 1,2-hydroxybenzene as probe species known to display a reversible electrochemical behaviour. The results found pointed out that the potential exhibited by these drawn reference electrodes was fully reliable only when small but controlled amounts of chloride ions can be added to assayed samples, without interfering investigated processes. Conversely, a poorer reliability characterise these reference electrodes when chlorides cannot be added, in that they display potentials higher of about 100–150 mV than their theoretical value. Their reproducibility (± 0.02 V), controlled on a series of different PEDs wetted with the same sample, was however so narrow for voltammetric investigations as to make their use preferable to usual pseudo-reference electrodes whose potential is remarkably affected by the different components present in assayed samples. [ABSTRACT FROM AUTHOR]

This article reports a facile fabrication of a highly sensitive enzyme-free sweat glucose sensor over Whatman filter paper substrate employing a dual-step pencil and pen approach. Initially, two pencil-drawn electrodes (PDEs) are obtained on the filter paper through the manual abrasion of an 8B graphite pencil. Then, the sensing layer is drawn over one of the PDEs using a custom-made copper (Cu) nanoparticle ink (CuNP-ink) pen to form copper nanoparticle ink decorated PDE (CuNP-ink/PDE) which serves as a working electrode, while the other PDE is drawn with silver conductive ink (Ag-ink) pen to form reference electrode. The developed CuNP-ink/PDE is composed of 43.5% of metallic Cu nanoparticles, inducing a highly crystalline and conductive nature, thus promoting fast electron transfer during glucose electrooxidation. The developed sensor offers a sensitivity of 2691.7 μ AmM−1cm−2, a detection limit of 0.5 μM, a linear range of 1.2–40 μM, and a fast response time of ∼ 1.5 s. Besides, the sensor measurements are stable, reproducible, and selective in glucose sensing. Also, the reliability of the sensor is tested by comparing its performance with a UV–Visible spectrophotometer for proving its efficacy in sweat glucose detection. Experimental results evince the effectiveness of the designed sensor for glucose detection in human sweat. [Display omitted] • Sensor is fabricated by hand drawing a layer of copper nanoparticle ink over pencil-drawn electrode (PDE). • Ink deposition allows permeation of glucose sensitive copper nanoparticles. • CuNP-ink/PDE is composed of 44.5% of metallic Cu nanoparticles. • Sensor offers sensitivity of 2616.6 μA mM−1 cm−2 and detection limit of 0.5 μM. • Results are compared with UV–Vis spectrophotometric assay in real sweat samples. [ABSTRACT FROM AUTHOR]

Due to increased use of computer-based assessments, comparability studies are moving beyond paper-and-pencil versus computer-based assessments to analyze variances with computers. It is therefore practically important to determine whether screen size and definition of the device affect students' performance. Using data from a large school district giving tests on either Macs with large, high-definition screens or Chromebooks with standard 14-inch screens, this study compared assessment results between devices by grade, subject, and item type. Results showed no significant evidence supporting a large and high-definition screen's positive impact on students' performance. Likewise, there was no relationship between the impact of screen size and grade level as well as item types. Limitations and future studies were discussed. [ABSTRACT FROM AUTHOR]

• Pyrolyzed pencil graphite coated cellulose paper used as an interlayer. • Studied effect of different grades of pencil over cellulose paper on Li-S cell. • Pencil is a source of graphite and silica in the interlayer and act as a reservoir to lithium polysulfides. • The DFT calculations performed to calculate interaction between polysulfides and graphite/silica structures. • Capacity values of 1352 and 995 mAh g−1 are attained at 0.1 and 0.5 A g−1. • Cycling stability of 900 mAh g−1 at 1 A g−1 (3.0C) for 350cycles. Lithium-sulfur (Li-S) battery is next generation battery technology but it's commercialization is obstructed primarily due to the shuttling effect of lithium polysulfides (LiPSs). Herein, we report an effective approach using pencil coated pyrolyzed cellulose filter paper as an interlayer to suppress the LiPSs dissolution into the electrolyte and thus allowing effective utilization of active sulfur cathode. Here, the binder clay particles (mainly SiO 2) of pencil graphite facilitate the adsorption of LiPSs, whereas graphite increases the electrical conductivity and acts as a physical barrier to LiPSs. To investigate further, we utilize three different grades of pencil (4B, HB, 5H) which vary in terms of clay (SiO 2) composition. It is observed that the HB pencil coated interlayer has the right balance of silica and graphite, which results in an impressive initial capacity of 1352 and 995 mAh g−1 at the current density of 0.1 and 0.5 A g−1, respectively. The cell exhibit high cycling stability of 900 mAh g−1 at 1 A g−1 (3.0 C) for 350 cycles with a slow capacity decay of 0.07% per cycle. The phenomenon of LiPSs adsorption is further understood using post-cycling analysis, H-cell adsorption testing, and shuttle factor calculation for the development of commercial Li-S batteries. [ABSTRACT FROM AUTHOR]

Under controlled dispersion conditions, sample injection towards a detector opened essential fields for the Analytical Chemistry fast development methods. Flow injection analysis (FIA) and batch injection analysis (BIA) systems are crucial for injecting the sample in these analytical methods. The BIA system eliminated the flow manifold, with samples injected directly onto the detector inside the batch injection cell. Paper was slightly evaluated coupled to FIA, and no reports were found associated with BIA. Still, it can potentially reduce the BIA manifold by removing the batch injection cell based on the capillarity properties to disperse the injected solution over the detection system. Hence, this article reported the first work coupling batch-injection analysis and microfluidic paper-based analytical device (BIA-μPAD) with pencil-drawn electrodes directly attached to the paper using a CO 2 laser pre-treated chromatographic paper. The laser pretreatment of the paper (optimized conditions: 6.5% laser power, 12 mm s−1 scan rate, and 12 mm output distance) was essential to enhance the electrochemical response for ferri/ferrocyanide redox couple and paracetamol (PAR), as shown by spectroscopic and electrochemical techniques. The proposed BIA-μPAD was evaluated using pharmaceutical paracetamol samples as proof-of-concept (optimized conditions: 15 μL injected volume and 6.4 μL s−1 dispensing rate), obtaining good linearity (R = 0.9961) and recovery values ranging from 95 to 103%. Repeatability (n = 16) and reproducibility (n = 9) tests with 1 mmol L−1 PAR also presented well relative standard deviation (RSD) results of 5.1% and 6.6%, respectively. A sampling frequency of 76 h−1 was obtained, which is a similar value compared with conventional BIA apparatus. Limits of detection and quantification were estimated in 0.046 and 0.154 mmol L−1, respectively. Additionally, an improvement in the current response and the sample throughput was observed when comparing FIA and BIA-μPADs, attesting the applicability of the proposed device and opening for new possibilities related to paper-based devices coupled with flow techniques. [Display omitted] • The first batch injection analysis paper-based device (BIA-μPAD) reported. • Paper can reduce the BIA manifold by removing the batch injection cell-based. • Pencil-drawing directly on the paper device using laser pretreatment. • BIA-μPAD was compared with flow injection paper-based configuration. • A proof-of-concept of the proposed BIA-μPAD was shown. [ABSTRACT FROM AUTHOR]

The design, fabrication, analysis and measurement of the modulated pencil-drawn U-shaped piezoresistive graphite on paper compound fibers and its application for wind speed sensing are reported. We found that pencil drawing was a facile method for producing an ultrafine graphite film through the friction between the pencil leads and paper fibers. The pencil-drawn graphite was characterized by Raman spectroscopy and x-ray diffraction. The resistance of the patterned graphite sensor showed a decrease or an increase due to compression or tension bending, respectively, of the paper cantilever substrate. The wind impacting onto the flexible paper substrate with negative and positive speeds resulted in a bending compression or tension that was related to the resistance measured from the sensor. It was demonstrated that the resistance of a 10-mm -ide line of the U-shaped graphite on the paper substrate was 24 kΩ at ∼ 40° and 45 kΩ at ∼− 40°. Furthermore, we found that the graphite patterned on paper substrate with a small line width, such as 3 mm, showed good linearity for the relationship between the measured resistance and the wind speed. [ABSTRACT FROM AUTHOR]

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This paper examines the added value of a digital tool that constitutes a new model to introduce students to multiplication. Drawing on the theory of semiotic mediation, the semiotic potential of this new model is analysed with respect to the same task that can be solved in two different settings (the digital tool and pencil and paper). The analysis shows that the task solutions undergo significant changes depending on to the technological settings. Even though the end product of the model–task dyads might look the same in both settings, the product emerges from the different processes that would mediate quite different meanings for multiplication. This suggests that while designing tasks that involve mathematical models, rather than focusing only on the end product, considering the whole process would reveal the extensive potential meanings the model–task dyad can mediate. [ABSTRACT FROM AUTHOR]

In this paper we analyze the stability of the problem of performing a rational QZ step with a shift that is an eigenvalue of a given regular pencil H - λ K in unreduced Hessenberg–Hessenberg form. In exact arithmetic, the backward rational QZ step moves the eigenvalue to the top of the pencil, while the rest of the pencil is maintained in Hessenberg–Hessenberg form, which then yields a deflation of the given shift. But in finite-precision the rational QZ step gets "blurred" and precludes the deflation of the given shift at the top of the pencil. In this paper we show that when we first compute the corresponding eigenvector to sufficient accuracy, then the rational QZ step can be constructed using this eigenvector, so that the exact deflation is also obtained in finite-precision. [ABSTRACT FROM AUTHOR]

Paper-based sensors fabricated using the pencil-on-paper method are expected to find wide usage in many fields owing to their low cost and high reproducibility. Here, hydrogen (H2) detection was realized by applying palladium (Pd) nanoparticles (NPs) to electronic circuits printed on paper using a metal mask and a pencil. We confirmed that multilayered graphene was produced by the pencil, and then characterized Pd NPs were added to the pencil marks. To evaluate the gas-sensing ability of the sensor, its sensitivities and reaction rates in the presence and absence of H2 were measured. In addition, sensing tests performed over a wide range of H2 concentrations confirmed that the sensor had a detection limit as low as 1 ppm. Furthermore, the sensor reacted within approximately 50 s at all H2 concentrations tested. The recovery time of the sensor was 32 s at 1 ppm and 78 s at 1000 ppm. Sensing tests were also performed using Pd NPs of different sizes to elucidate the relationship between the sensing rate and catalyst size. The experimental results confirmed the possibility of fabricating paper-based gas sensors with a superior sensing capability and response rate. [ABSTRACT FROM AUTHOR]

Abstract concepts, such as gravity, may provide the perfect opportunity to bring phenomena into the classroom. As a knowledge generation strategy, summarizing can foster that opportunity. Using phenomena and summary writing together might help student learning since it requires making connections between their ideas and words to explain the natural phenomena. This article describes how anchoring phenomena and summary writing were integrated into a cohesive unit by using five generative activities that include different language and epistemic practices. Five activities include 1) Asking, 2) Designing, 3) Negotiating, 4) Explaining, and 5) Summarizing. A series of lessons, aligning with the Common Core State Standards for English Language Arts and the NGSS, were designed with the Science Writing Heuristic (SWH) approach. After these lessons, students were asked to write a letter to their younger peers about what they learned related to the phenomenon. The teacher mentioned that class discussions and summary writing practice helped her to see connections in students' ideas and how those connections changed throughout the unit. Many of the students also mentioned that they preferred completing a summary writing rather than a paper-pencil test because they were able to explain themselves in a more comfortable way. [ABSTRACT FROM AUTHOR]

A foldable 7.56‐inch display is introduced. According to the test results of the device, several key elements such as folding performance, pencil hardness, impact resistance and deformation, which might affect the foldable display into the market are discussed. [ABSTRACT FROM AUTHOR]

The development of a simple and rapid technique to form structural colors would be an important step to achieve the coloring without dyes containing toxic organic dyes or heavy metals. Here, a novel method to form structural color using plasma etching is presented. The structural color is reproducibly formed by the plasma irradiation of the surface of a pencil lead for 40–120 s. The color changes with the plasma irradiation time. The formed colors exhibit a luster and turn blue, yellow, red‐purple, blue, green, or pale red by the plasma irradiation time of 40, 60, 80, 90, 100, and 120 s, respectively. The surface asperities due to the removals of the graphite at the surface of the pencil lead by the plasma etching are changed by the irradiation time. This causes the changes in the structural color of the pencil lead. The coloring by this method can easily control the colored part by using a masking plastic plate. Furthermore, a paper painted with a pencil is also colored by the plasma treatment. The presented method is a simple and rapid technique to form structural colors and can be applied for coloring without dyes. [ABSTRACT FROM AUTHOR]

In the paper we find sufficient conditions on the coefficients of a class of third order quasi-elliptic operator pencils providing the completeness of the part of eigen and associated vectors in a separable Hilbert space. The completeness of the system of decreasing elementary solutions of the corresponding homogeneous equation in the space of solutions of this equation is proved. All these conditions are expressed by the coefficients of the operator pencil. [ABSTRACT FROM AUTHOR]