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Sexual harassment is an unfortunate problem far too many have experienced. Universities and other educational institutions owe a duty, both legal and moral, to protect students from sexual harassment, and in turn to allow students to receive the full benefits of their education. But a circuit split has limited students' ability to hold educational institutions liable. This circuit split results in the absurd scenario where an individual must experience sexual harassment more than one time to hold their educational institution liable. This Note attempts to fix that by proposing Title IX (the law governing sexual harassment at educational institutions) adopt the hostile work environment analysis from Title VII (an employment law statute) in further harassment claims. This solution balances the interests of students in receiving the full benefits of their education in a safe environment with the interests of educational institutions to not be held liable for issues these universities may not know exist. Introduction I. An Evolving Protection: The Expansion of Title IX AND Sex Discrimination Statutes A. Title IX's Creation and Expansion B. Title IX's Application to Sexual Harassment Cases C. Institutional Liability in Responding to Title IX Claims D. Title VII: The Weapon Against Private Sector Sex Discrimination II. Analysis of the Approaches Employed by Various Courts A. Sixth, Eighth, and Ninth Circuits' Approach: Requiring Further Actionable Sexual Harassment to Plead a Title IX Claim 1285 1. Sixth, Eighth, and Ninth Circuit Arguments for Requiring Further Actionable Sexual Harassment 1287 2. Sixth, Eighth, and Ninth Circuit Arguments Against Requiring Further Actionable Sexual Harassment 1288 B. First and Tenth Circuits: A Further Incident of Sexual Harassment Is Not Necessary for a School to Be Deliberately Indifferent to a Prior Act 1290 1. First and Tenth Circuit Arguments Against Requiring Further Actionable Harassment 1291 2. First and Tenth Circuit Arguments for Requiring a Further Actionable Harassment 1292 III. Solution: Modifying the Legal Test for Further Harassment to Better Reflect the Purpose of Title IX 1295 A. A Solution in a Similar Statute: Applying Title VII Caselaw to Title IX Claims 1296 B. Concerns with Applying Title VII Caselaw in Title IX Cases 1300 C. Effects of This New Standard on Educational Institutions 1302 Conclusion 1304

Purpose AlSi10Mg alloy is commonly used in laser powder bed fusion due to its printability, relatively high thermal conductivity, low density and good mechanical properties. However, the thermal conductivity of as-built materials as a function of processing (energy density, laser power, laser scanning speed, support structure) and build orientation, are not well explored in the literature. This study aims to elucidate the relationship between processing, microstructure, and thermal conductivity. Design/methodology/approach The thermal conductivity of laser powder bed fusion (L-PBF) AlSi10Mg samples are investigated by the flash diffusivity and frequency domain thermoreflectance (FDTR) techniques. Thermal conductivities are linked to the microstructure of L-PBF AlSi10Mg, which changes with processing conditions. The through-plane exceeded the in-plane thermal conductivity for all energy densities. A co-located thermal conductivity map by frequency domain thermoreflectance (FDTR) and crystallographic grain orientation map by electron backscattered diffraction (EBSD) was used to investigate the effect of microstructure on thermal conductivity. Findings The highest through-plane thermal conductivity (136 ± 2 W/m-K) was achieved at 59 J/mm3 and exceeded the values reported previously. The in-plane thermal conductivity peaked at 117 ± 2 W/m-K at 50 J/mm3. The trend of thermal conductivity reducing with energy density at similar porosity was primarily due to the reduced grain size producing more Al-Si interfaces that pose thermal resistance. At these interfaces, thermal energy must convert from electrons in the aluminum to phonons in the silicon. The co-located thermal conductivity and crystallographic grain orientation maps confirmed that larger colonies of columnar grains have higher thermal conductivity compared to smaller columnar grains. Practical implications The thermal properties of AlSi10Mg are crucial to heat transfer applications including additively manufactured heatsinks, cold plates, vapor chambers, heat pipes, enclosures and heat exchangers. Additionally, thermal-based nondestructive testing methods require these properties for applications such as defect detection and simulation of L-PBF processes. Industrial standards for L-PBF processes and components can use the data for thermal applications. Originality/value To the best of the authors’ knowledge, this paper is the first to make coupled thermal conductivity maps that were matched to microstructure for L-PBF AlSi10Mg aluminum alloy. This was achieved by a unique in-house thermal conductivity mapping setup and relating the data to local SEM EBSD maps. This provides the first conclusive proof that larger grain sizes can achieve higher thermal conductivity for this processing method and material system. This study also shows that control of the solidification can result in higher thermal conductivity. It was also the first to find that the build substrate (with or without support) has a large effect on thermal conductivity.

IntroductionIn the UK, the National Cancer Plan (2000) requires every cancer patient’s care to be reviewed by a multidisciplinary team (MDT). Since the introduction of these guidelines, MDTs have faced escalating demands with increasing numbers and complexity of cases. The COVID-19 pandemic has presented MDTs with the challenge of running MDT meetings virtually rather than face-to-face.This study aims to explore how the change from face-to-face to virtual MDT meetings during the COVID-19 pandemic may have impacted the effectiveness of decision-making in cancer MDT meetings and to make recommendations to improve future cancer MDT working based on the findings.Methods and analysisA mixed-methods study with three parallel phases:Semistructured remote qualitative interviews with ≤40 cancer MDT members.A national cross-sectional online survey of cancer MDT members in England, using a validated questionnaire with both multiple-choice and free-text questions.Live observations of ≥6 virtual/hybrid cancer MDT meetings at four NHS Trusts.Participants will be recruited from Cancer Alliances in England. Data collection tools have been developed in consultation with stakeholders, based on a conceptual framework devised from decision-making models and MDT guidelines. Quantitative data will be summarised descriptively, and χ2 tests run to explore associations. Qualitative data will be analysed using applied thematic analysis. Using a convergent design, mixed-methods data will be triangulated guided by the conceptual framework.The study has been approved by NHS Research Ethics Committee (London—Hampstead) (22/HRA/0177). The results will be shared through peer-reviewed journals and academic conferences. A report summarising key findings will be used to develop a resource pack for MDTs to translate learnings from this study into improved effectiveness of virtual MDT meetings.The study has been registered on the Open Science Framework (https://doi.org/10.17605/OSF.IO/D2NHW).

ObjectivesNational guidelines recommend prostate multiparametric (mp) MRI in men with suspected prostate cancer before biopsy. In this study, we explore prostate mpMRI protocols across 14 London hospitals and determine whether standardisation improves diagnostic quality.MethodsAn MRI physicist facilitated mpMRI set-up across several regional hospitals, working together with experienced uroradiologists who judged diagnostic quality. Radiologists from the 14 hospitals participated in the assessment and optimisation of prostate mpMRI image quality, assessed according to both PiRADSv2 recommendations and on the ability to “rule in” and/or “rule out” prostate cancer. Image quality and sequence parameters of representative mpMRI scans were evaluated across 23 MR scanners. Optimisation visits were performed to improve image quality, and 2 radiologists scored the image quality pre- and post-optimisation.Results20/23 mpMRI protocols, consisting of 111 sequences, were optimised by modifying their sequence parameters. Pre-optimisation, only 15% of T2W images were non-diagnostic, whereas 40% of ADC maps, 50% of high b-value DWI and 41% of DCE-MRI were considered non-diagnostic. Post-optimisation, the scores were increased with 80% of ADC maps, 74% of high b-value DWI and 88% of DCE-MRI to be partially or fully diagnostic. T2W sequences were not optimised, due to their higher baseline quality scores.ConclusionsTargeted intervention at a regional level can improve the diagnostic quality of prostate mpMRI protocols, with implications for improving prostate cancer detection rates and targeted biopsies.

This paper presents the design of a geometric trajectory tracking controller for an underactuated multi-body system describing the cooperative task of two quadrotor UAVs (unmanned aerial vehicles) carrying and transporting a rigid bar, which is attached to the quadrotors via inflexible elastic cables. The elasticity of the cables together with techniques of singular perturbation allows a reduction in the model to that of a similar model with inelastic cables. In this reduced model, we design a controller such that the rod exponentially tracks a given desired trajectory for its position and attitude, under some assumptions on initial error. We then show that exponential tracking in the reduced model corresponds to exponential tracking of the original elastic model. We also show that the previously defined control scheme provides uniform ultimate boundedness in the presence of unstructured bounded disturbances.

We extend to topological affine planes the standard theorems of convexity, among them the separation theorem, the anti-exchange theorem, Radon's, Helly's, Caratheodory's, and Kirchberger's theorems, and the Minkowski theorem on extreme points. In a few cases the proofs are obtained by adapting proofs of the original results in the Euclidean plane; in others it is necessary to devise new proofs that are valid in the more general setting considered here. [PUBLICATION ABSTRACT]

Despite the widespread use of ultrasonic metal bonding, little is known about the role of heat generation in the bond. Literature shows that the temperature of the bond rises only slightly above room temperature and bond material melting point which suggests the bond is principally formed due to an alternate mechanism. However, some literature has also shown that while the elevated temperature does not form the bond, it plays an important role in strengthening the bond and changing the microstructure of the material near the bond interface. This thesis demonstrates a novel technique to capture the entire heat distribution in the bond zone in real-time during bonding which provides insight into the temperature-dependent strength of the bond and can be used as a non-destructive evaluation technique to detect poorly formed bonds. This thesis also presents successful bonds between dissimilar materials including silicon with novel applications in microelectronics cooling devices.

This volume contains nineteen survey papers describing the state of current research in discrete and computational geometry as well as a set of open problems presented at the 2006 AMS-IMS-SIAM Summer Research Conference \"\"Discrete and Computational Geometry--Twenty Years Later\"\", held in Snowbird, Utah, in June 2006. Topics surveyed include metric graph theory, lattice polytopes, the combinatorial complexity of unions of geometric objects, line and pseudoline arrangements, algorithmic semialgebraic geometry, persistent homology, unfolding polyhedra, pseudo-triangulations, nonlinear computational geometry, $k$-sets, and the computational complexity of convex bodies.