Modern technologies have eased the way for adversaries to bypass the conventional identity authentication and identification processes; hence security systems have been developed to a great extent for protection of privacy and security of identities in different applications. The focus of this thesis is digital watermarking, security and privacy, as well as the ability to employ electrocardiogram as a method to enhance the security and privacy level. A high capacity reversible multiple watermarking scheme is introduced to mainly target the medical images. Furthermore, the use of ECG biometric signals in the form of the embedded watermark is studied. Experimental results indicate that the reversible data hiding scheme outperforms other approaches in the literature in terms of payload capacity and marked image quality. Results from the ECG mark embedding also show that no major degradation in performance is noticeable compared to the case where no watermarking is needed.

In this expository paper we study the stationary measures of a stochastic process called nearest neighbor random walk on Z, and further we describe conditions for these measures to have the stronger property of reversibility. We consider both the cases of symmetric and non-symmetric random walk.

In this thesis, we consider three fundamental problems of transducers theory. The containment problem asks, given two transducers,whether the relation defined by the first is included into the relation defined by the second. The equivalence problem asks, given two transducers,whether they define the same relation. Finally, the sequential uniformisation problem,corresponding to the synthesis problem in the setting of transducers,asks, given a transducer, whether it is possible to deterministically pick an output correspondingto each input of its domain. These three decision problems are undecidable in general. As a first step, we consider different manners of recovering the decidability of the three problems considered.First, we characterise a family of classes of transducers, called controlled by effective languages, for which the containment and equivalence problems are decidable. Second, we add structural constraints to the problems considered: for instance, instead of only asking that two transducers define the same relation, we require that this relation is defined by both transducers in a similar way. This `similarity' is formalised through the notion of delay,used to measure the difference between the output production of two transducers. This allows us to introduce stronger decidable versions of our three decision problems, which we use to prove the decidability of the original problems in the setting of finite-valued transducers. In the second part, we study extensions of the automaton model,together with the adaptation of the sequential uniformisation problems to these new settings.Weighted automata are automata which,along each transition, output a weight in Z. Then, whereas a transducer preserves all the output mapped to a given input, weighted automata only preserve the maximal weight. In this setting, the sequential uniformisation problem turns into the determinisation problem: given a weighted automaton, is it possible to deterministically pick the maximal output mapped to each input? The decidability of this problem is open.The notion of delay allows us to devise a complete semi-algorithm deciding it. Finally, we consider two-way transducers, that are allowed to move back and forth over the input tape. These transducers enjoy good properties with respect to the sequential uniformisation problem: every transducer admits a sequential two-way uniformiser. We strengthen this result by showing that every transducer admits a reversible two-way uniformiser, i.e. a uniformiser that is both sequential and cosequential (backward sequential). / Doctorat en Sciences / info:eu-repo/semantics/nonPublished

Introuction: The sub-Saharan Africa (SSA) region is making progress in its contraceptive policies that allow for the provision of long-acting reversible contraceptives (LARC). Despite this, the overall utilisation of contraception, especially LARC is low while the burden of unintended pregnancies remains high. Unintended pregnancies pose a significant threat to global public health with far-reaching consequences. There is a need to explore all the reasons for the low uptake of effective LARC methods. The objectives of this systematic review and meta-analysis, was therefore to determine the state of knowledge, attitudes, and perceptions of LARCs among healthcare workers (HCW) in sub-Saharan Africa. Methods: A systematic review and meta-analysis were conducted of published qualitative and quantitative studies. A search strategy was developed and applied to three major databases (PubMed, Ovid (Medline), and Scopus). Studies of both a qualitative and quantitative nature were included if they assessed either the knowledge, attitude, perception or a combination of the concepts among HCWs toward a LARC method. Data were extracted using a pre-determined data extraction form to conduct a qualitative synthesis using a thematic content analysis framework using ATLAS.ti version 8. In addition to this, data was specifically extracted relating to 11 pre-determined questions to conduct proportion meta-analyses using Stata version 15. Heterogeneity was further explored using the I2-statistic and publication bias using funnel plots and Egger’s tests. Results: A total of 3616 records were screened, of which 3510 were excluded. From 106 full-text articles assessed for eligibility, 50 were included for qualitative synthesis and 21 included in the meta-analysis. From the studies, a total of 12 356 participants were included in the analysis. From the meta-analysis, the overall proportion of HCWs with training in family planning was 62% (95% CI: 48%, 76%) while 60% (95% CI: 41%, 80%) reported providing family planning counselling to their clients. Forty-one percent (95% CI: 20%, 61%) of HCWs had received IUCD insertion training with 63% (95% CI: 44%, 81%) expressing a desire for additional training. Only 27% of HCWs (95% CI: 18%, 36%) deemed IUCD appropriate for HIV-infected women. Moreover, restrictions for IUCD and injectables based on a minimum age were imposed by 56% (95% CI: 33%, 78%) and 60% (95% 41 CI: 36%, 84%) of HCWs, respectively. Lastly, minimum parity restrictions were also observed among 29% (95% CI: 9%, 50%) of HCWs for IUCDs and 36% (95% CI: 16%, 43 56%) for injectable contraceptives. Conclusion: The study revealed that there is a gap in knowledge of HCWs regarding family planning counselling and LARC provision. In addition to this, the results indicate that unnecessary provider-imposed restrictions may hinder the uptake of LARC methods by women in sub-Saharan Africa. With the deadline for the Family Planning 2020 initiative and the 2030 SDGs quickly approaching, there is a need to address these issues. / Dissertation (MSc)--University of Pretoria, 2020. / School of Health Systems and Public Health (SHSPH) / MSc (Epidemiology) / Unrestricted

Most phylogenetic trees are inferred using time-reversible evolutionary models that assume that the relative rates of substitution for any given pair of nucleotides are the same regardless of the direction of the substitutions. However, there is no reason to assume that the underlying biochemical mutational processes that cause substitutions are similarly symmetrical. Here, we evaluate the effect on phylogenetic inference in empirical viral and simulated data of incorporating non-reversibility into models of nucleotide substitution processes. I consider two non-reversible nucleotide substitution models: (1) a 6-rate nonreversible model (NREV6) that is applicable to analyzing mutational processes in double-stranded genomes in that complementary substitutions occur at identical rates; and (2) a 12-rate non-reversible model (NREV12) that is applicable to analyzing mutational processes in single-stranded (ss) genomes in that all substitution types are free to occur at different rates. Using likelihood ratio and Akaike Information Criterion-based model tests, we show that, surprisingly, NREV12 provided a significantly better fit than the General Time Reversible (GTR) and NREV6 models to 21/31 dsRNA and 20/30 dsDNA datasets. As expected, however, NREV12 provided a significantly better fit to 24/33 ssDNA and 40/47 ssRNA datasets. I tested how non-reversibility impacts the accuracy with which phylogenetic trees are inferred. As simulated degrees of non-reversibility (DNR) increased, the tree topology inferences using both NREV12 and GTR became more accurate, whereas inferred tree branch lengths became less accurate. I conclude that while non-reversible models should be helpful in the analysis of mutational processes in most virus species, there is no pressing need to use these models for routine phylogenetic inference. Finally, I introduce a web application, RpNRM, that roots phylogenetic trees using a non-reversible nucleotide substitution model. The phylogenetic tree is rooted on every branch and the likelihoods of each rooting are determined and compared with the highest likelihood tree being identified as that with the most plausible rooting. The rooting accuracy of RpNRM was compared to that of the outgroup rooting method, the midpoint rooting method and another non-reversible model-based rooting method implemented in the program IQTREE. I find that although the RpNRM and IQTREE reversible model-based methods are not as accurate on their own as outgroup or midpoint rooting methods, they nevertheless provide an independent means of verifying the root locations that are inferred by these other methods.

The purpose of this study is to analyze the behavior of a reversible two-cylinder refrigerant compressor manufactured by Bristol Compressor Incorporated. This compressor contains a specialized linkage that causes the compressor to transition from a two-cylinder compressor to a single-cylinder compressor when the direction of rotation of the crankshaft is reversed. The linkage accomplishes this by reducing the throw of one cylinder to zero. Of interest are the conditions to which this linkage is subjected when the direction of rotation is again reversed, causing the compressor to return to its two-cylinder functioning. When this reversal takes place, a collision occurs within the linkage. These repeated collisions are thought to be the cause of fatigue failure of the linkage in many of these compressors. To verify that this collision is the problem, an understanding of the stress state during the collision is needed. This thesis begins the work necessary to determine the dynamic stress state present within the system. A FORTRAN program was developed that modeled the kinematic behavior of the system under operating conditions. The program predicts the accelerations, velocities, positions, and internal forces present within the system during startup conditions. Also, a method has been developed to model rotary sliding contact between two cylindrical surfaces. This method is developed and investigated in hopes that it will facilitate the modeling of the behavior of the compressor linkage in a dynamic finite element analysis. / Master of Science

<p> The optimal temperature policy with time is sought which maximizes the total amount of reaction in a fixed time in a tubular reactor with uniform temperature and decaying catalyst for a single reversible reaction.</p> <p> A numerical procedure together with theoretical developments is used to solve this problem for two kinetic models. The problem is treated in the format of Pontryagin's Maximum Principle.</p> <p> Computer listings are given in the Appendix for the following cases A) Optimal policy for irreversible reactions 8) Optimal policy for isothermal irreversible reactions C) Optimal policy for reversible reactions.</p> / Thesis / Master of Engineering (MEngr)

Ce travail de thèse porte sur la synthèse et la caractérisation d’élastomères réticulés réversiblement à base de polyisoprène et polybutadiène en vue de leur possible recyclage. Pour se faire, de longues chaines de polydiènes 1,4-cis ont été dégradées de manière contrôlée afin d’obtenir des polymères à faible viscosité. Dans un second temps, ces polydiènes ont ensuite été modifiés chimiquement soit le long ou soit aux extrémités des chaines afin d’obtenir des fonctions réactives de type alcool. Ces fonctions hydroxyles ont ensuite servi de point d’ancrage pour le greffage de fonctions furanes. L’addition d’un composé de type bis-maléimide au polymère liquide a alors conduit à la formation d’élastomère réticulé thermo-réversiblement grâce à la réaction de Diels-Alder entre les groupements furanes et maléimides. Les matériaux ainsi obtenus se comportement comme un élastomère réticulé stable dans une large gamme de température (- 80 °C à + 130 °C). Les propriétés mécaniques de ces élastomères (module de Young, contrainte/élongation à la rupture, module caoutchoutique) peuvent être facilement modulées en modifiant plusieurs paramètres comme la longueur des chaines, la densité de réticulation ou le lieu de réticulation (bout des chaines ou le long des chaines. La recyclabilité des matériaux a ensuite été montrée, aucune perte de propriétés n’a été observée même après 5 cycles de recyclage. Enfin, en changeant le type de liens réversibles par des groupements ureidopyrimidinones (UPy), nous avons observé que le matériel réticulé réversiblement par liaisons hydrogène obtenu possédait une organisation supramoléculaire particulière, induite par l’assemblage des groupements UPy. / This work focuses on the synthesis and characterization of reversibly crosslinked polyisoprene and polybutadiene and their potential recyclability. To this end, long chains of 1,4-cis polydienes have been degraded in a controlled manner in order to obtain telechelic polymers with low viscosity. In a second step, these low molar mass polydienes were chemically modified either along the backbone or at the chain-end of the polymer in order to obtain reactive functions. The thus obtained hydroxyl functions have been used as an anchor point for the grafting of furan functions. The addition of a bis-maleimide compound to the liquid polymer led to the formation of thermo-reversibly crosslinked elastomer thanks to the Diels-Alder reaction between the furan and the maleimide groups. The obtained materials have the behavior of a crosslinked elastomer, stable in a wide temperature range (-80 °C to + 130 °C). The mechanical properties of these elastomers (Young's modulus, strain / elongation at break, rubber modulus) can be easily modulated by modifying several parameters such as chain length, crosslinking density or crosslinking site along the chains. The recyclability of the materials was shown as no properties loss was observed even after 5 cycles of recycling. Finally, by changing the furan groups by ureidopyrimidinone groups (UPy), the reversibly crosslinked material obtained through hydrogen bonds possessed a totally different behavior with a particular supramolecular organization, induced by the assembly of the UPy groups.

Magister Curationis - MCur / Increasing numbers of unintended pregnancies are occurring due to contraceptive failure. Unsafe abortion remains one of the top five avoidable patient-related causes of maternal death in South Africa. There are much higher reported failure rates for short-acting methods of contraceptives than long-acting methods of contraceptives; the uptake of long-acting methods of contraception though remains low.

In this thesis we employ two recent analytical approaches to investigate the possible classes of traveling wave solutions of some members of recently derived integrable family of generalized Camassa-Holm (GCH) equations. In the first part, a novel application of phase-plane analysis is employed to analyze the singular traveling wave equations of four GCH equations, i.e. the possible non-smooth peakon, cuspon and compacton solutions. Two of the GCH equations do no support singular traveling waves. We generalize an existing theorem to establish the existence of peakon solutions of the third GCH equation. This equation is found to also support four segmented, non-smooth M-wave solutions. While the fourth supports both solitary (peakon) and periodic (cuspon) cusp waves in different parameter regimes. In the second part of the thesis, smooth traveling waves of the four GCH equations are considered. Here, we use a recent technique to derive convergent multi-infinite series solutions for the homoclinic and heteroclinic orbits of their traveling-wave equations, corresponding to pulse and front (kink or shock) solutions respectively of the original PDEs. Unlike the majority of unaccelerated convergent series, high accuracy is attained with relatively few terms. Of course, the convergence rate is not comparable to typical asymptotic series. However, asymptotic solutions for global behavior along a full homoclinic/heteroclinic orbit are currently not available.