The Dyn-Farkhi conjecture and the convex hull of a sumset in two dimensions

Click on the DOI link to access this article at the publishers website (may not be free).We study the Hausdorff distance to convex hull, which for a compact set A ? Rn is defined by d(A):= dH(A, conv(A)), where dH is the Hausdorff metric. In 2004, Dyn and Farkhi [Numer. Funct. Anal. Optim. 25 (2004), pp. 363-377] conjectured that d2 is subadditive on compact sets in Rn. In 2018, Fradelizi, Madiman, Marsiglietti, and Zvavitch [EMS Surv. Math. Sci. 5 (2018), pp. 1-64] found a counterexample to this conjecture when n ? 3. In this paper, we resolve the Dyn-Farkhi conjecture when n = 2. In doing so, we prove a new representation of the sumset conv(A)+conv(B) for compact sets A,B ? R2.Funding text 1 The author of this paper was supported in part by the National Science Foundation LEAPS - Division of Mathematical Sciences Grant No. 2316659. Funding text 2 Received by the editors July 16, 2024, and, in revised form, April 3, 2025, and April 7, 2025. 2020 Mathematics Subject Classification. Primary 52A40; Secondary 52A10. Key words and phrases. Minkowski sum, Hausdorff metric, convex hull, subadditive. The author of this paper was supported in part by the National Science Foundation LEAPS - Division of Mathematical Sciences Grant No. 2316659

Faculty Senate meeting, April 28, 2025

Agenda: (Approval of Minutes): April 14, 2025 -- (Informal Statements) / Jay Price -- (President’s Report) / Mathew Muether -- (Committee Reports): Rules Committee Report / Chris Stone -- Planning and Budget Committee Report -- Mathew Muether – (Old Business): Summary of Proposals – Senate Standing Committee structure proposal – 2nd read – Sunset and Student Success – discussions/ questions – Planning and Budget Committee – discussion and questions -- (New Business): SEAS Report / Dr. Brett Bruner, Dr. Ashlie Jack – Budget Discussion / David Miller, Lyndsay Pletcher – PIAC Report, tabled to next meetin

Cohomotopy and flux quantization in M-theory

Click on the DOI link to access this article at the publishers website (may not be free).We identify some of the k-invariants for the Postnikov tower of the stable and unstable 4-sphere. Assuming the stable Hypothesis H of Fiorenza-Sati-Schreiber, we use the resulting obstruction theory to prove that the Chern-Simons term in the effective action of M-theory is well defined. In particular, we do not assume the presence of an $E_8$-gauge field

Department of Dental Hygiene Class of 1990

First row (left to right): Pamela Bumpurs, Visiting Asst. Professor; Diane Huntley, Associate Professor; Mary Martha Stevens, Assistant Professor; Dr. Thomas Lahey, Supervising Dentist; Denise Maseman, Program Director; Joan C. Loehr, Supervising Dentist; Susan Shannon, Assistant Professor; Mary Ann Clark, Assistant Director; Loretta Seidl, Assistant ProfessorSecond row (left to right): Lizanne Sollars, President; Barbara Gonzalez, Instructor; Mary Jo Nigg, Instructor; Robyn Berkheimer, Vice PresidentThird row (left to right): Lori Tilley, Tonya Cline, Laura L. Sickles, Social Chairman; Charlette Hardesty, Secretary/Treasurer; Marci Murrow, Valerie BlackFourth row (left to right): Christy Lyon, Vicki Cyr, Connie Cook, Maggie Prouty, Tammy Winters, Ginger Davis, Arnell Berhens, Nancy Hostetter, Penny GriisamoreFifth row (left to right): Paige Sipp, Tina Englert, Susanna Perez, Mary Epler, Deidre Trabert, Julie Hutchinson, Tina Smith, Tina Gore, Cythia BriarDigitized by University Libraries' Technical Services Institutional Repository & Digitization group.Personal and non-profit use only

2025 Shocker Strive Conference

Shocker Strive Conference: Morning sessions -- Afternoon session

Investigating mechanical behaviours of fire-retardant fiber composites in aggressive aviation fluids

Published in SOAR: Shocker Open Access Repository by Wichita State University Libraries Technical Services, November 2025. 2025 IEMS Officers: Gamal Weheba (Conference Chair); Hesham Mahgoub (Program Chair); Dalia Mahgoub (Technical Director); Ed Sawan (Publications Editor); Wilfredo Moscoso (Proceedings Editor); Abdulaziz G. Abdulaziz (Associate Editor)This study investigates the effects of aviation fluid exposure on aerospace-grade carbon and glass fiber composites. Five critical fluids—hydraulic fluid, dry cleaning solvent, isopropyl alcohol deicer, methyl ethyl ketone (MEK), and a hydraulic fluid/water mixture—were used to simulate real-world environmental conditions. Composite specimens were exposed for durations of 15 days and 30 days. Mechanical properties were assessed through short beam shear tests to determine the interlaminar shear strength (ILSS) of the aged specimen, while fluid uptake was measured gravimetrically. Results indicate that MEK consistently caused the most significant degradation in mechanical properties and the highest fluid absorption for both composite types. Glass fiber composites exhibited greater susceptibility to environmental effects compared to carbon fiber composites. The time-dependent nature of fluid absorption correlated strongly with changes in mechanical properties. These findings highlight the critical importance of specific fluid-composite compatibility testing in aerospace material selection and design. The study underscores the need for enhanced protective strategies and long-term durability assessments to improve the reliability and performance of composite structures in aerospace applications. Future research directions are suggested to address these challenges

Annual Commencement Program

Commencement addresses for undergraduate ceremonies: 9 a.m. commencement address by Danielle Johnson. Johnson is the Executive Director of Wichita Habitat for Humanity, the principal owner of Inclusive Growth Strategies, and a Wichita State University alum. 1 p.m. commencement address by Matt All, President and CEO of Blue Cross and Blue Shield of Kansas. 5 p.m. commencement address by Laura Bernstorf, Director of Special Missions Program Management at Textron Aviation and Wichita State University alum.Processional / Pomp & Circumstance -- Opening of Ceremony / (Graduate ceremony): Mathew Muether, Faculty Senate President; (Undergraduate ceremony, 9 a.m.): Tom Wine, Professor and Program Director of Music Education, School of Music, College of Fine Arts; (1 p.m.): Sun Young Lee, Assistant Professor Elementary Education, School of Education, College of Applied Studies; (5 p.m.): Dotty Harpool, Executive Director, Engagement and Prominence/Senior Educator, W. Frank Barton School of Business -- National Anthem / Pulip Han, Music Opera Performance Graduate Student -- Welcome and Introduction of Guests / Monica Lounsbery, Senior Executive Vice President and Provost -- Student Welcome / (Graduate ceremony): Donna Tran, Graduate Student of the Year; (All undergraduate ceremonies): Makenna Roths, Undergraduate Student of the Year -- Alumni Welcome / WSU Foundation -- Greetings from the Kansas Board of Regents / Neelima Parasker, Kansas Board of Regents -- Commencement address / (9 a.m.): Danielle Johnson; (1 p.m.): Matt All, (5 p.m.): Laura Bernstorf -- Conferring of Degrees / Richard Muma, President; Monica Lounsbery; (Graduate): Coleen Pugh, Dean, Graduate School; Jeremy Patterson, Dean, College of Innovation & Design; (9 a.m.): Marie Bukowski, Dean, College of Fine Arts; David M. Eichhorn, Interim Dean, Fairmount College of Liberal Arts and Sciences; Kimberly Engber, Dean, Dorothy and Bill Cohen Honors College; (1 p.m.): Jennifer Friend, Dean, Applied Studies; Gregory Hand, Dean, Health Professions; (5 p.m.): Larisa Genin, Dean, Business; Anthony Muscat, Dean, Engineering -- Alma Mater / Pulip Han -- Hail Wichita / Shocker Sound Machine -- Closing of the ceremonies / (Graduate): Mathew Muether; (9 a.m.): Tom Wine; (1 p.m.): Sun Young Lee; (5 p.m.): Dotty Harpool -- Recessional / Salute to Kansas, John Phillip Sousa, Presented by WSU Symphonic Wind Ensembl

University Staff Senate meeting, March 25, 2025

Agenda: (Call to Order) -- (Guest) -- (Discussion and New Business) -- (Old Business) -- (Senate Committee Updates) -- (Campus/University Business Updates & Discussions) -- (Adjourn/Upcoming Meetings and Events/Shoutouts) Minutes: (Call to Order): Approval of minutes -- (Guest): Athletics Update / Kevin Saal, Director of Athletics and Clay Stoldt, Faculty Athletics Representative -- (Discussion and New Business): Hanover Campus Climate Survey -- (Old Business): Senate Training & Onboarding -- (Senate Committee Updates): Awards and recognition -- Communications and website -- Elections -- Policy review -- Professional development and service -- Scholarships -- STRIVE -- (Campus/University Business Updates & Discussions): Academic forum -- Budget Advisory Committee -- Human Resources (Joint with Faculty Senate) – Campus Climate -- Legislative update + KBOR briefing -- Parking appeals + traffic appeals -- President's meetings -- RSC Board of Directors -- UPS/USS Presidents Council (KBOR) -- (Adjourn/Upcoming Meetings and Events/Shoutouts): February Senate Meeting: Tuesday, April 15, 2025 -- Check the Events Calendar for upcoming events on campus -- Admin Support Group Lunch and Learn – April 15, 2025 Attachments contain Senate meeting minutes with Vietnamese translation

Generalizing robust control barrier functions from a controller design perspective

This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/).While control barrier functions provide a powerful tool to endow controllers with formal safety guarantees, robust control barrier functions (RCBF) can be used to extend these guarantees for systems with model inaccuracies. This paper presents a generalized RCBF framework that unifies and extends existing notions of RCBFs for a broad class of model uncertainties. Main results are conditions for robust safety through generalized RCBFs. We apply these generalized principles for more specific design examples: a worst-case type design, an estimation-based design, and a tunable version of the latter. These examples are demonstrated to perform increasingly closer to an oracle design with ideal model information. Theoretical contributions are demonstrated on a practical example of a pendulum with unknown periodic excitation. Using numerical simulations, a comparison among design examples are carried out based on a performance metric depicting the increased likeness to the oracle design. © 2022 IEEE

Department of Dental Hygiene Class of 2002

First row (left to right): Barbara Gonzalez, RDH, MHS, Assistant Professor; Lourdes Vazquuez, RDH, MS, Assistant Professor; Dr. Scott W. Wiggins, DDS, Supervising Dentist; Dr. Ron Neugent, DDS, Supervising Dentist; Denise Maseman, RDH, MS, Assistant Professor/Chairperson; Diane E. Huntley, RDH, PhD, Associate Professor; Pamela Bumpurs, RDH, MHS, Clinical EducatorSecond row (left to right): Shannon Weeks, President; Shanin Hall, Vice President; Audra McCune SADHA President 2001-02/Secretary 2000-01; Leslie Goad, SADHA Vice Presdent 2000-01Third row (left to right): Angela Arguelles, Heather Bryant, Treasurer/Secretary; Angela Knoffloch, Class Liaison; Amy ClarkFourth row (left to right): Jennifer Crouch, Heather Hardin, Terri Hekele, Lisa Hinton, Sarah Howerton, Coleen Krieger, Kasha Lee, Stephanie Legg, Meghan McGrawFifth row (left to right): Kyle Nguyen, Michelle Nguyen, Shabella Penney, Kara Smith, Krissa Teer, Angela Vance, Beth Woodman, Peggy ZergerDigitized by University Libraries' Technical Services Institutional Repository & Digitization group.Personal and non-profit use only