Fourier transform infra-red spectroscopy to determine formaldehyde to phenol ratio of phenol formaldehyde resole

A model has been proposed to determine the formaldehyde (F) to phenol (P) ratio [F/P] of resole with the help of Fourier transform infra-red spectroscopy. The study is based on the comparison of IR absorbance of the dominant peaks corresponding to the formaldehyde and phenol contents in the resin. This study can be of much use in adhesive coating industries to employ the F/P ratio as a quality tool as well as for competition resin benchmarking. It can also be utilized for understanding the kinetics of the reactions between phenol and formaldehyde. Detailed qualitative analyses of various resoles with different formulations have been discussed in this paper, which can be of potential help for the standard analysis of the commercial resins. The validation of results confirms that the most fitting model offers an error less than 7%. Interestingly, this model can also be applied with blends of different Phenol formaldehyde resoles.

Spectral density of individual trajectories of an active Brownian particle

We study analytically the single-trajectory spectral density (STSD) of an active Brownian motion as exhibited, for example, by the dynamics of a chemically-active Janus colloid. We evaluate the standardly-defined spectral density, {\it i.e.} the STSD averaged over a statistical ensemble of trajectories in the limit of an infinitely long observation time $T$, and also go beyond the standard analysis by considering the coefficient of variation $\gamma$ of the distribution of the STSD. Moreover, we analyse the finite-$T$ behaviour of the STSD and $\gamma$, determine the cross-correlations between spatial components of the STSD, and address the effects of translational diffusion on the functional forms of spectral densities. The exact expressions that we obtain unveil many distinctive features of active Brownian motion compared to its passive counterpart, which allow to distinguish between these two classes based solely on the spectral content of individual trajectories.

Extensions of Psychoanalytic Technique: The Mutual Influences of Standard Psychoanalysis and Transference-Focused Psychotherapy

The author describes the differences between standard psychoanalysis and transference-focused psychotherapy (TFP) and reviews particular difficulties that psychodynamically trained clinicians have in learning TFP. In delineating differences between standard psychoanalysis and TFP, the author discusses mutual influences between standard psychoanalytic techniques and techniques of TFP. TFP is an extension and modification of standard psychoanalysis, but with quantitative modifications geared to the treatment of the most severe segment of personality disorders that tend not to be treatable by standard analysis. TFP includes some features that are directly facilitated by psychoanalytic education, such as the importance of free association and the organization of interpretations in terms of the analysis of defense, motivation, and impulse. On the other hand, TFP provides new strategies, enhancing standard psychoanalytic treatment, when it modifies technical neutrality under certain circumstances, allows for the analysis of “incompatible realities,” and accelerates interventions under conditions of severe acting out when technical neutrality is not possible to maintain. The author demonstrates the advantages of systematic training in TFP within psychoanalytic institutes as a true enrichment of technical training. He proposes that psychoanalysis as a profession consists of a broad spectrum of treatment approaches based upon the combined utilization of psychoanalytic techniques, with specific modifications to be organized in specific forms of psychoanalytic psychotherapy. TFP may be the closest modification to standard psychoanalysis proper and is clearly defined and manualized. This has permitted empirical research that has already demonstrated the effectiveness of TFP.

Investigation on the influence of point loads on the deflection behaviour of G+5 frame structure

Nowadays, multi-storey structure portal frames are most commonly used worldwide. Multistory frames are used in structural systems in all metropolitan cities, future cities, and important businesses. The present study the effect of various point loads varying from 22 to 32 kN in steps of 2 were applied on the center of horizontal beams of the frame structure. The deflection behaviour in form of deflection, reaction, beading moments under point loading were discussed analytically according to stiffness matrix method and the results are validated with the help of simulation using STAAD Pro software. Results revealed that the analytical method using manual calculations in excel sheet provides approximately similar results as obtained by the costly simulation technique using STAAD Pro software. Therefore, the implementation of this excel sheet can be recommended for standard analysis of portal frame structures based on the outcomes of this study.

The Effect of Expertise on Postural Control in Elite ju-jitsu Athletes

Background: The testing of athletes in ecological conditions is based on the concept that sport-specific adaptations in postural control are observed mostly in positions or tasks that are related to the practice of a specific movement. Due to the high postural control demands of ju-jitsu, it is likely that long-term ju-jitsu training may influence the process of maintaining a stable posture, especially in positions directly related to combat. The purpose of this study was to examine the postural sway characteristics of elite ju-jitsu athletes in ecological and non-ecological conditions with an approach not previously used in martial arts.Methods: The study was conducted on eleven male elite ju-jitsu athletes and ten non-athletes. The data was collected with the use of a force plate under two conditions: quiet standing and ju-jitsu combat stance. Apart from the standard analysis of the spatial-temporal parameters of COP, sensitive methods in COP data processing were used, namely rambling-trembling and sample entropy. The non-parametric U Mann-Whitney test was used to compare both positions.Results: The main findings of the study showed that in quiet standing, elite ju-jitsu athletes and non-athletes had comparable postural control in both the anterior-posterior and mediolateral planes. In contrast, elite athletes had lower values of postural sway and higher values of sample entropy in comparison to the non-trainees in the combat stance (p<0.05). The rambling-trembling decomposition of the COP data did not exhibit additional differences between groups beyond the standard analysis.Conclusions: Our results confirmed the importance of a sport-specific environment in investigating the subtle differences in the postural regulation of elite athletes. The sample entropy results indicated more irregular characteristics of postural sway in the elite ju-jitsu athletes, representing more automated postural control.

Unified galaxy power spectrum measurements from 6dFGS, BOSS, and eBOSS

We make use of recent developments in the analysis of galaxy redshift surveys to present an easy to use matrix-based analysis framework for the galaxy power spectrum multipoles, including wide-angle effects and the survey window function. We employ this framework to derive the deconvolved power spectrum multipoles of 6dFGS DR3, BOSS DR12 and the eBOSS DR16 quasar sample. As an alternative to the standard analysis, the deconvolved power spectrum multipoles can be used to perform a data analysis agnostic of survey specific aspects, like the window function. We show that in the case of the BOSS dataset, the Baryon Acoustic Oscillation (BAO) analysis using the deconvolved power spectra results in the same likelihood as the standard analysis. To facilitate the analysis based on both the convolved and deconvolved power spectrum measurements, we provide the window function matrices, wide-angle matrices, covariance matrices and the power spectrum multipole measurements for the datasets mentioned above. Together with this paper we publish a Python-based toolbox to calculate the different analysis components. The appendix contains a detailed user guide with examples for how a cosmological analysis of these datasets could be implemented. We hope that our work makes the analysis of galaxy survey datasets more accessible to the wider cosmology community.

Applications of Non-Standard analysis in Topoi to Mathematical Neurosciences and Artificial Intelligence: Infons, Energons, Receptons (I)

The purpose of this paper is to promote new methods in mathematical modeling inspired by neuroscience—that is consciousness and subconsciousness—with an eye toward artificial intelligence as parts of the global brain. As a mathematical model, we propose topoi and their non-standard enlargements as models, due to the fact that their logic corresponds well to human thinking. For this reason, we built non-standard analysis in a special class of topoi; before now, this existed only in the topos of sets (A. Robinson). Then, we arrive at the pseudo-particles from the title and to a new axiomatics denoted by Intuitionistic Internal Set Theory (IIST); a class of models for it is provided, namely, non-standard enlargements of the previous topoi. We also consider the genetic–epigenetic interplay with a mathematical introduction consisting of a study of the Yang–Baxter equations with new mathematical results.

Quantifying bias from dependent left truncation in survival analyses of real world data

In real world data (RWD) studies, observed datasets are often subject to left truncation, which can bias estimates of survival parameters. Standard methods can only suitably account for left truncation when survival and entry time are independent. Therefore, in the dependent left truncation setting, it is important to quantify the magnitude and direction of estimator bias to determine whether an analysis provides valid results. We conduct simulation studies of common RWD analytic settings in order to determine when standard analysis provides reliable estimates, and to identify factors that contribute most to estimator bias. We also outline a procedure for conducting a simulation-based sensitivity analysis for an arbitrary dataset subject to dependent left truncation. Our simulation results show that when comparing a truncated real-world arm to a non-truncated arm, we observe the estimated hazard ratio biased upwards, providing conservative inference. The most important data-generating parameter contributing to bias is the proportion of left truncated patients, given any level of dependence between survival and entry time. For specific datasets and analyses that may differ from our example, we recommend applying our sensitivity analysis approach to determine how results would change given varying proportions of truncation.