Canonical System Research Articles

Dressing for generalised linear Hamiltonian systems depending rationally on the spectral parameter and some applications

We construct so-called Darboux matrices and fundamental solutions in the important case of generalised Hamiltonian (or canonical) systems depending rationally on the spectral parameter. A wide class of explicit solutions is obtained in this way. Interesting results for dynamical systems depending on several variables and their explicit solutions follow. For these purposes we use our version of Bäcklund-Darboux transformation and square roots of the corresponding generalised matrix eigenvalues. Some new auxiliary results on the roots of matrices are included as well. An appendix is added to make the paper self-contained.

Generalized Middle-Square Method

In this paper, we generalize John von Neumann’s Middle-Square Method (MSM) to canonical number systems (CNS). Additionally, we present some observations and statistical tests of the sequences generated by the described generators.

Two Novel Classes of Arbitrary High-Order Structure-Preserving Algorithms for Canonical Hamiltonian Systems

In this paper, we systematically construct two classes of structure-preserving schemes with arbitrary order of accuracy for canonical Hamiltonian systems. The one class is the symplectic scheme, which contains two new families of parameterized symplectic schemes that are derived by basing on the generating function method and the symmetric composition method, respectively. Each member in these schemes is symplectic for any fixed parameter. A more general form of generating functions is introduced, which generalizes the three classical generating functions that are widely used to construct symplectic algorithms. The other class is a novel family of energy and quadratic invariants preserving schemes, which is devised by adjusting the parameter in parameterized symplectic schemes to guarantee energy conservation at each time step. The existence of the solutions of these schemes is verified. Numerical experiments demonstrate the theoretical analysis and conservation of the proposed schemes.

Reinforcement Learning Based Optimized Sliding-Mode Consensus Control of High-Order Nonlinear Canonical Dynamic Multiagent System

This article is to address the optimized high-order consensus problem of nonlinear canonical dynamic multiagent systems (MASs). Since every agent contains the multiple state variables having differential relation, sliding-mode control (SMC) mechanism is employed for reaching the high-order consensus. Then, reinforcement learning (RL) under identifier–critic–actor architecture is performed for optimizing this consensus control. As a result, RL strategy and SMC mechanism are combined to achieve the optimized high-order consensus control. Compared with the traditional optimal control, on the one hand, the actor and critic RL updating laws are significantly simple and can also make the sufficient training for the adaptive parameters so that the condition of persistence excitation is released; on the other hand, the optimized consensus scheme does not require the complete dynamic acknowledge because the adaptive identifier strategy is integrated into the RL design for compensating the unknown dynamic. As a consequence, this proposed optimized control can smoothly steer the high-order MAS to achieve the consensus of multiple system states. Eventually, both theory and simulation certify feasibility of this control method.

S-50-3: MICROSAMPLING BASED MASS SPECTROMETRY FOR QUANTIFICATION OF ANGIOTENSIN PEPTIDES IN THE RENIN ANGIOTENSIN ALDOSTERONE SYSTEM

Objective: Hypertension is the leading risk factor of premature death globally, affecting around 1.3 billion people. The canonical renin angiotensin aldosterone system (RAAS) has been extensively studied and methods are available for use clinically to assess hypertension. The non-canonical axis of the RAAS (consists of angiotensin 1Ξ7, angiotensin 1Ξ9, angiotensin converting enzyme 2 and alamandine) counteract the effects of the canonical pathway. This reveals their role as potential therapeutic targets for cardiovascular disease, but it has not been studied in detail in the clinical or research setting due to the difficulty in measuring its components owing to instability. Furthermore, the functional balance between the two arms of RAAS has not been fully understood. These limitations can be overcome by using dried microsampling, which provides better sample stability. Microsampling requires just a micro blood volume (<30 μL) from a finger prick collected on a card. It is minimally invasive, cheap, and easy to collect by patients. Design: A microsampling based liquid chromatography coupled with triple quadrupole mass spectrometry (LCMS/MS assay) was developed and optimised to simultaneously quantify 10 peptides (angiotensin II, Ang III, Ang IV, ACE2, Ang 1Ξ5, Ang 1Ξ7, Ang 1Ξ9, Ang 1Ξ12, Alamandine and Ang A) in the RAAS pathway. Methods: For the preparation of calibration samples, 30 μL of bovine serum albumin (BSA) was spiked with the 10 peptides standards, spotted on a card, dried and extracted by solid phase extraction using their respective internal standards. Chromatographic analyses were performed on an Acquity C18 Premier peptide column using gradient elution with a run time of 8 min. Identification was carried out using electrospray ionisation (positive) on a Waters Xevo TQXS triple quadrupole mass spectrometer. The developed assay is currently undergoing validation in line with international guidelines. Results: The method shows good linearity. The accuracy (relative error) and precision (coefficient of variation) values were within the pre-defined limits of ≧15% at all tested concentrations for the peptides. The assay sensitivity was sufficient to detect the peptides in dried blood spot samples. Conclusion: The microsampling based LCMS/MS assay development was successful and following completion of validation has the potential to quantify the circulating levels of these vasoactive peptides in patients with hypertension. This has been achieved, for the first time to the best of our knowledge on the entire RAAS pathway. This microsampling based proteomics assay could be used to study patients with hypertension in both research and clinical settings.

One-parameter Lorentzian spatial kinematics and Disteli's formulae

<abstract><p>In this paper, based on the E. Study map, clear terms are offered for the differential equations of one-parameter Lorentzian spatial kinematics that are coordinate system-independent. This cancels the request of demanding coordinate transformations that are typically required in the determination of the canonical systems. With the suggested technique, new proofs of the Disteli formulae of a spacelike line trajectory are instantly gained and their spatial equivalents are studied in detail. As a consequence, we address the kinematic geometry of a point trajectory for the one-parameter Lorentzian spherical and planar movements.</p></abstract>

Canonical titration simulations.

We present a Monte Carlo approach for performing titration simulations in the canonical ensemble. The standard constant pH (cpH) simulation methods are intrinsically grand canonical, allowing us to study the protonation state of molecules only as a function of pH in the reservoir. Due to the Donnan potential between a system and an (implicit) reservoir of a semi-grand canonical simulation, the pH of the reservoir can be significantly different from that of an isolated system, for an identical protonation state. The new titration method avoids this difficulty by using the canonical reactive Monte Carlo algorithm to calculate the protonation state of macromolecules as a function of the total number of protons present inside the simulation cell. The pH of an equilibrated system is then calculated using a new surface insertion Widom algorithm, which bypasses the difficulties associated with the bulk Widom particle insertion for intermediate and high pH values. To properly treat the long range Coulomb force, we use the Ewald summation method, showing the importance of the Bethe potential for calculating the pH of canonical systems.

The explicit form of the switching surface in admissible synthesis problem

In this article we consider the problem related to positional synthesis and controllability function method and more precisely to admissible maximum principle. Unlike the more common approach the admissible maximum principle method gives discontinuous solutions to the positional synthesis problem. Let us consider the canonical system of linear equations $\dot{x}_i=x_{i+1}, i=\overline{1,n-1}, \dot{x}_n=u$ with constraints $|u| \le d$. The problem for an arbitrary linear system $\dot{x} = A x + b u$ can be simplified to this problem for the canonical system. A controllability function $\Theta(x)$ is given as a unique positive solution of some equation $\Phi(x,\Theta) = 0$. The control is chosen to minimize derivative of the function $\Theta(x)$ and can be written as $u(x) = -d \text{ sign}(s(x,\Theta(x)))$. The set of points $s(x,\Theta(x)) = 0$ is called the switching surface, and it determines the points where control changes its sign. Normally it \mbox{contains} the variable $\Theta$ which is given implicitly as the solution of equation $\Phi(x, \Theta) = 0$. Our aim in this paper is to find a representation of the switching surface that does not depend on the function $\Theta(x)$. We call this representation the explicit form. In our case the expressions $\Phi(x, \Theta)$ and $s(x, \Theta)$ are both polynomials with respect to $\Theta$, so this problem is related to the problem of finding conditions when two polynomials have a common positive root. Earlier the solution for the 2-dimensional case was known. But during the exploration it was found out that for systems of higher dimensions there exist certain difficulties. In this article the switching surface for the three dimensional case is presented and researched. It is shown that this switching surface is a sliding surface (according to Filippov's definition). Also the other ways of constructing the switching surface using the interpolation and approximation are proposed and used for finding the trajectories of concrete points.

Activation of ChvG-ChvI regulon by cell wall stress confers resistance to β-lactam antibiotics and initiates surface spreading in Agrobacterium tumefaciens.

A core component of nearly all bacteria, the cell wall is an ideal target for broad spectrum antibiotics. Many bacteria have evolved strategies to sense and respond to antibiotics targeting cell wall synthesis, especially in the soil where antibiotic-producing bacteria compete with one another. Here we show that cell wall stress caused by both chemical and genetic inhibition of the essential, bifunctional penicillin-binding protein PBP1a prevents microcolony formation and activates the canonical host-invasion two-component system ChvG-ChvI in Agrobacterium tumefaciens. Using RNA-seq, we show that depletion of PBP1a for 6 hours results in a downregulation in transcription of flagellum-dependent motility genes and an upregulation in transcription of type VI secretion and succinoglycan biosynthesis genes, a hallmark of the ChvG-ChvI regulon. Depletion of PBP1a for 16 hours, results in differential expression of many additional genes and may promote a stress response, resembling those of sigma factors in other bacteria. Remarkably, the overproduction of succinoglycan causes cell spreading and deletion of the succinoglycan biosynthesis gene exoA restores microcolony formation. Treatment with cefsulodin phenocopies depletion of PBP1a and we correspondingly find that chvG and chvI mutants are hypersensitive to cefsulodin. This hypersensitivity only occurs in response to treatment with β-lactam antibiotics, suggesting that the ChvG-ChvI pathway may play a key role in resistance to antibiotics targeting cell wall synthesis. Finally, we provide evidence that ChvG-ChvI likely has a conserved role in conferring resistance to cell wall stress within the Alphaproteobacteria that is independent of the ChvG-ChvI repressor ExoR.

An operator methodology for the global dynamic analysis of stochastic nonlinear systems

In a global dynamic analysis, the coexisting attractors and their basins are the main tools to understand the system behavior and safety. However, both basins and attractors can be drastically influenced by uncertainties. The aim of this work is to illustrate a methodology for the global dynamic analysis of nondeterministic dynamical systems with competing attractors. Accordingly, analytical and numerical tools for calculation of nondeterministic global structures, namely attractors and basins, are proposed. First, based on the definition of the Perron-Frobenius, Koopman and Foias linear operators, a global dynamic description through phase-space operators is presented for both deterministic and nondeterministic cases. In this context, the stochastic basins of attraction and attractors’ distributions replace the usual basin and attractor concepts. Then, numerical implementation of these concepts is accomplished via an adaptative phase-space discretization strategy based on the classical Ulam method. Sample results of the methodology are presented for a canonical dynamical system.

An inverse problem for a class of lacunary canonical systems with diagonal Hamiltonian

Hamiltonians are 2-by-2 positive semidefinite real symmetric matrix-valued functions satisfying certain conditions. In this paper, we solve the inverse problem for which recovers a Hamiltonian from the solution of a first-order system attached to a given Hamiltonian, consisting of ordinary differential equations parametrized by a set of complex numbers, under certain conditions for the solutions. This inverse problem is a generalization of the inverse problem for two-dimensional canonical systems.

The Irish Penitentials and Conscience Formation

As commonly used in its moral sense I will, for the purposes of this paper, take the concept of “conscience” to be the inherent ability of every healthy human being to perceive what is right and what is wrong and, on the strength of this perception, to control, monitor, evaluate and execute their actions. Such values as right or wrong, good or evil, just or unjust, and fair or unfair have existed throughout human history and are also shaped by an individual’s cultural, political and economic environment. The medieval penitential literature offers just one such historical snapshot. These manuals or guides for confessors, including prayers, lists of questions to be asked by the confessor, and penances to be assigned for various sins were an integral part of the practice of private penance which began in the Celtic Church and later spread through Europe with the Celtic and Anglo-Saxon missions. Penitential books for use by confessors in private penance appeared in the sixth through ninth centuries. These texts were not as a rule decreed by episcopal synods. Their authority generally rested on the reputation of their compiler or editor. Public penances were assigned for public sins that caused scandal for the church. Private penances were assigned for private sins or matters of conscience. The Penitentials were generally more flexible than the churches’ ancient canonical penitential system which they largely replaced. While later European Penitentials tended to provide more complete guidance for the confessor instead of mere lists of rules and penalties; such instruction is not entirely absent from the earlier Irish texts and ancillary documents. Thus, the goal of penance in the early middle ages was not only sacramental but also didactic. It would have been an occasion to inculcate Christian beliefs, an opportunity to model proper Christian behaviour and by extension a key part of the formation of conscience. As was the case with later expressions of casuistry (Etym. Latin casus, case, or problem to be solved) the purpose of the penitential literature was thus to adapt and apply the unchangeable norms of Christian morality to the changing and variable circumstances of human life albeit in somewhat rudimentary fashion. As such this literary genre and the pastoral practices stemming from it are a valid and worthy object of any historical study and theological analysis concerning the ‘formation of conscience.’

Comparative genomic and functional analysis of Arthrobacter sp. UMCV2 reveals the presence of luxR-related genes inducible by the biocompound N, N-dimethylhexadecilamine.

Quorum sensing (QS) is a bacterial cell-cell communication system with genetically regulated mechanisms dependent on cell density. Canonical QS systems in gram-negative bacteria possess an autoinducer synthase (LuxI family) and a transcriptional regulator (LuxR family) that respond to an autoinducer molecule. In Gram-positive bacteria, the LuxR transcriptional regulators "solo" (not associated with a LuxI homolog) may play key roles in intracellular communication. Arthrobacter sp. UMCV2 is an actinobacterium that promotes plant growth by emitting the volatile organic compound N, N-dimethylhexadecylamine (DMHDA). This compound induces iron deficiency, defense responses in plants, and swarming motility in Arthrobacter sp. UMCV2. In this study, the draft genome of this bacterium was assembled and compared with the genomes of type strains of the Arthrobacter genus, finding that it does not belong to any previously described species. Genome explorations also revealed the presence of 16 luxR-related genes, but no luxI homologs were discovered. Eleven of these sequences possess the LuxR characteristic DNA-binding domain with a helix-turn-helix motif and were designated as auto-inducer-related regulators (AirR). Four sequences possessed LuxR analogous domains and were designated as auto-inducer analogous regulators (AiaR). When swarming motility was induced with DMHDA, eight airR genes and two aiaR genes were upregulated. These results indicate that the expression of multiple luxR-related genes is induced in actinobacteria, such as Arthrobacter sp. UMCV2, by the action of the bacterial biocompound DMHDA when QS behavior is produced.

Numerical solutions to the Reactive Graetz Problem for CO2 Capture

Hollow Fiber Membrane Contactor Modules comprise a technology that is considered promising for mobile carbon capture due to its high surface area per unit volume and low pressure drop. Although experimental, theoretical, and numerical studies have been devoted to understanding and improving performance, no study has so far used numerical simulations to show how the system scales with flow rate, reactivity, solubility, etc. in full generality. The present study addresses this scaling by solving the so called reactive Graetz problem: a canonical partial differential equation system coupling gas and liquid flow domains, including solubility and reactivity effects unlike the original Graetz problem. It is found that the Peclet number of the liquid, the aspect ratio of the fiber, and the Damkohler number of the liquid solvent, all play decisive roles in the mass transfer of CO2 and the work exerted per molecule captured.

Galois quotients of tropical curves and invariant linear systems

For a map $\varphi : \Gamma \rightarrow \Gamma'$ between tropical curves and an isometric action on $\Gamma$ of a finite group $K$, $\varphi$ is a $K$-Galois covering on $\Gamma'$ if $\varphi$ is a harmonic morphism, the degree of $\varphi$ coincides with the order of $K$ and the action of $K$ induces a transitive action on every fibre. We prove that for a tropical curve $\Gamma$ with an isometric action of a finite group $K$, there exists a rational map, from $\Gamma$ to a tropical projective space, which induces a $K$-Galois covering on the image with proper edge-multiplicities. As an application, we also prove that for a hyperelliptic tropical curve without one valent points and of genus at least two, the invariant linear system of the hyperelliptic involution $\iota$ of the canonical linear system, the complete linear system associated with the canonical divisor, induces an $\langle \iota \rangle$-Galois covering on a tree. This is an analogy of the fact that a compact Riemann surface is hyperelliptic if and only if the canonical map, the rational map induced by the canonical linear system, is a double covering on a projective line $\boldsymbol{P}^1$.

One-Parameter Lorentzian Dual Spherical Movements and Invariants of the Axodes

E. Study map is one of the most basic and powerful mathematical tools to study lines in line geometry, it has symmetry property. In this paper, based on the E. Study map, clear expressions were developed for the differential properties of one-parameter Lorentzian dual spherical movements that are coordinate systems independent. This eliminates the requirement of demanding coordinates transformations necessary in the determination of the canonical systems. With the proposed technique, new proofs for Euler–Savary, and Disteli’s formulae were derived.

C⁎-envelopes of tensor algebras of product systems

Let P be a submonoid of a group G and let E=(Ep)p∈P be a product system over P with coefficient C⁎-algebra A. We show that the following C⁎-algebras are canonically isomorphic: the C⁎-envelope of the tensor algebra Tλ(E)+ of E; the reduced cross sectional C⁎-algebra of the Fell bundle associated to the canonical coaction of G on the covariance algebra A×EP of E; and the C⁎-envelope of the cosystem obtained by restricting the canonical gauge coaction on Tλ(E) to the tensor algebra. As a consequence, for every submonoid P of a group G and every product system E=(Ep)p∈P over P, the C⁎-envelope Cenv⁎(Tλ(E)+) automatically carries a coaction of G that is compatible with the canonical gauge coaction on Tλ(E). This answers a question left open by Dor-On, Kakariadis, Katsoulis, Laca and Li. We also analyse co-universal properties of Cenv⁎(Tλ(E)+) with respect to injective gauge-compatible representations of E. When E=CP is the canonical product system over P with one-dimensional fibres, our main result implies that the boundary quotient ∂Tλ(P) is canonically isomorphic to the C⁎-envelope of the closed non-selfadjoint subalgebra spanned by the canonical generating isometries of Tλ(P). Our results on co-universality imply that ∂Tλ(P) is a quotient of every nonzero C⁎-algebra generated by a gauge-compatible isometric representation of P that in an appropriate sense respects the zero element of the semilattice of constructible right ideals of P.

An Interview with Brianne Waychoff and Red Washburn, General Editors, WSQ

An Interview with Brianne Waychoff and Red Washburn, General Editors, WSQ Heather Rellihan (bio), Brianne Waychoff (bio), and Red Washburn (bio) Heather Rellihan: Each issue of WSQ features a section entitled “Classics Revisited” whereby contributors reflect on classic texts related to the theme of the issue. For 50!, the special issue devoted to the fiftieth anniversary of WSQ and a half-century of social justice activism within and outside the academy, we are inviting the editors of feminist publications to select an issue of their own journal that they see as a “classic.” Thinking about both the issues you’ve worked on, as well as the issues before your time, what stands out to you as a classic issue of WSQ and why? Red Washburn: In its fifty years thus far, WSQ has produced many key issues. Some recent issues that are striking to me are Queer Methods, Citizenship, Trans-, and Women, Crime, and the Criminal Justice System. I am passionate about scholarship that addresses LGBTQ issues, transnationalism and citizenship rights, and prison abolition. I am very excited about the forthcoming Nonbinary issue, as well. It is building and expanding upon the wonderful work of the Trans- issue, and Nonbinary will engage gender in the field in compelling and interesting ways. In addition, I have a deep value for issues that archive field formation like Women’s Studies Then and Now and Curricular and Institutional Change. I believe we must know our history, show gratitude for our intellectual ancestors, and preserve the field, especially during this critical moment when so many women’s, gender, and sexuality studies programs, departments, journals, and conferences, etc., are being defunded. Brianne Waychoff: I’m not sure that I can identify a classic issue of WSQ. One thing that I love about women’s, gender, and sexuality studies in [End Page 289] general, and this journal specifically, is the interdisciplinary work we do. I think sometimes interdisciplinarity defies classification and thus finding a “classic” depends on your orientation. There are people doing great work in many disciplines, but I like the mixed methods that WGSS and many feminist journals highlight because they aren’t easily defined. What is a classic for me, coming from a communication and performance studies background, might be completely different from what is classic for someone who identifies as a historian. Or they might be the same. That’s what I find interesting about this work. And working with guest editors, who usually have different orientations on our themed issues, is such a treat. I love seeing how people think and the language they use. And I love seeing how that work translates to others. HR: What makes an issue of a journal a “classic”? Is it its popularity at the time of publication? Its reach? Its ability to resonate over time? A particular kind of prescience that marks it as ahead of its time? Or maybe the ability to capture key debates with nuance and complexity? How much it gets cited? Its teachability? Or, perhaps something else entirely? How would you measure a “classic”? RW: I think it is imperative to reimagine what a “classic” is and how to revisit it. WSQ is part of a feminist tradition of questioning knowledge and power, but like many historical classifications to which feminist historians have spoken, academic journals are not removed from reproducing canonical knowledge systems and hierarchal power. I recall asking my students in Classics in Feminist Theory this question the first day of classes a few years ago, and us thinking about the spectrum of difference, erasure, and marginalization in high art, the hard sciences, and mainstream (white and Western) social movements. Alternately, I like to think about “important” issues that have shaped ways of knowing. Oftentimes, a good marker is characterized not by academic fashionalism, citational popularity, scholarly rockstars, or neoliberalism’s problematic tokenism of scholars of color in the name of multiculturalism, but rather by how well it situates concepts and debates in a historical moment, how well it represents people and ideas often marginalized, how well it has shaped critical consciousness, and how well it impacts social change. The latter point is crucial, a “classic” as a...

Ubiquitination of phosphatidylethanolamine in organellar membranes

The covalent conjugation of ubiquitin family proteins is a widespread post-translational protein modification. In the ubiquitin family, the ATG8 subfamily is exceptional because it is conjugated mainly to phospholipids. However, it remains unknown whether other ubiquitin family proteins are also conjugated to phospholipids. Here, we report that ubiquitin is conjugated to phospholipids, mainly phosphatidylethanolamine (PE), in yeast and mammalian cells. Ubiquitinated PE (Ub-PE) accumulates at endosomes and the vacuole (or lysosomes), and its level increases during starvation. Ub-PE is also found in baculoviruses. In yeast, PE ubiquitination is catalyzed by the canonical ubiquitin system enzymes Uba1 (E1), Ubc4/5 (E2), and Tul1 (E3) and is reversed by Doa4. Liposomes containing Ub-PE recruit the ESCRT components Vps27-Hse1 and Vps23 invitro. Ubiquitin-like NEDD8 and ISG15 are also conjugated to phospholipids. These findings suggest that the conjugation to membrane phospholipids is not specific to ATG8 but is a general feature of the ubiquitin family.

Influence of In-induced resonant level on the normal-state and superconducting properties of Sn1.03Te

Normal-state transport properties (2--300 K) of the polycrystalline series ${\mathrm{Sn}}_{1.03\ensuremath{-}\ensuremath{\delta}\ensuremath{-}x}{\mathrm{In}}_{x}\mathrm{Te} (0\ensuremath{\le}x\ensuremath{\le}0.07$; $\ensuremath{\delta}\ensuremath{\le}0.0025$) were investigated by means of electrical resistivity, thermopower, Hall effect, and thermal conductivity measurements. The distortion of the valence-band structure by the In-induced resonant level (RL) has a profound influence on the evolution of the normal-state properties with $x$ and on the emergence of superconductivity evidenced by specific-heat measurements down to 0.35 K. In addition to a nearly 40-fold increase in the residual electrical resistivity ${\ensuremath{\rho}}_{0}$ on going from $x=0.0$ to 0.05, the thermopower $\ensuremath{\alpha}$ shows a nonlinear, complex behavior as a function of both temperature and $x$. While Hall measurements indicate a dominant holelike response across the entire composition and temperature ranges, $\ensuremath{\alpha}$ changes sign below about 100 K and remains negative down to 5 K for $0.0015\ensuremath{\le}x\ensuremath{\le}0.0045$. Additional measurements under magnetic fields ${\ensuremath{\mu}}_{0}H$ of up to 14 T further shows that $\ensuremath{\alpha}({\ensuremath{\mu}}_{0}H)$ gradually shifts towards positive values, suggestive of a dominant holelike contribution to $\ensuremath{\alpha}$. Superconductivity emerges for $x=0.02$ at a critical temperature ${T}_{\mathrm{c}}=0.67$ K, with ${T}_{\mathrm{c}}$ increasing with $x$ to reach 1.73 K for $x=0.07$. The variations in the superconducting parameters with $x$, notably the specific-heat jump at ${T}_{\mathrm{c}}$, confirm the results reported in prior studies and suggests a nontrivial role of the RL on the electron-phonon coupling strength. The striking similarities between this series and the canonical resonant system ${\mathrm{Pb}}_{1\ensuremath{-}x}{\mathrm{Tl}}_{x}\mathrm{Te}$ provide an excellent experimental opportunity to gain a deeper understanding of the close interplay between resonant level, anomalous transport properties, and superconductivity.