 the problem -- computing the probability of reaching the undesired state. Reachability analysis is a highly challenging problem due to its general undecidability for hybrid systems and undecidability of nonlinear arithmetic (e.g., involving trigonometric functions) over the real numbers. A common approach in this case is to solve a simpler, yet useful, problem. In particular, there are techniques for solving reachability rigorously up to a given numerical precision. We study probabilistic reachability of hybrid systems with random and nondeterministic parameters, and we have developed two new distinct techniques: a formal approach, based on formal reasoning which provides absolute numerical guarantees; and a combined formal-statistical approach, utilising validated Monte Carlo sampling to give statistical guarantees. The former computes an interval which is formally guaranteed to contain the exact reachability probability value. We have shown that for the systems without nondeterministic parameter the size of the interval can be reduced to an arbitrarily small positive value. The statistical approach returns an interval that takes into account numerical errors in the samples and contains the exact probability value with some statistical confidence. By providing weaker guarantees, it is capable of handling systems with large number of parameters. Both developed techniques were implemented in our tool ProbReach, which has been applied to several realistic case studies such as the synthesis of safe and robust controllers for the artificial pancreas and the design of phototherapy treatment for psoriasis.
Computing the mutational robustness of gene regulatory networks.
Mirco Giacobbe, Ashutosh Gupta, Calin Č. Guet, Thomas A. Henzinger, Tiago Paixão, and Tatjana Petrov.
Abstract: Robustness against genetic and environmental perturbations is one of the defining features of biological systems and its evolution is one of the current topics in evolutionary biology. In order to study robustness with respect to certain viability properties, evolutionary biologists use weighted models of gene regulatory networks of the cells, where weights encode strengths of interactions which induce a state transition system. Using classic numerical methods, the robustness can be approximately estimated by simulating the network over a certain number of randomly sampled weights. We want to demonstrate that statistical simulation-based methods can be replaced by formal-verification techniques that can give higher assurance and precision. We formalize the viability in terms of temporal logics and we apply model checking techniques to verify, rather than simulate, the robustness of gene regulatory networks.
Nancy Jeanette Shoemaker, 86, of Onsted, died on Friday, July 17, 2020, at her home. She was born on August 31, 1933, in Onsted, the daughter of Franklin L. and Bertha R. (Buck) Branch. Nancy lived in Onsted her whole life, graduating from Onsted High School in 1951. Nancy married Charles J. Shoemaker, Jr., on March 16, 1957.
Nancy worked at the family business Branch and Son “The Mill” until she started raising her family. After the boys were grown, she worked at the Onsted State Bank for several more years. Nancy loved Onsted and the Onsted Schools and was a member of the Onsted Alumni Association for many years. Her family will miss her freshly baked cookies and the many conversations around the kitchen table.
Nancy is survived by her husband of 63 years, Charles J. Shoemaker, Jr.; sister, Jill (Dorman) Pawson; sister-in-law, Claudette Branch; brother-in-law, Sidney (Deanna) Shoemaker; her three sons, Stan (Mary Kay) Shoemaker, Steve (Tammy) Shoemaker and Scott Shoemaker; seven grandchildren, Nicki (Adam) Ziehr, Robert Shoemaker, Aaron (Krista) Shoemaker, Zachary, Nathan, Marissa, and Broc Shoemaker; seven great-grandchildren, Cole Wells, Addy and Colin Ziehr, Thomas Shoemaker, Elleigh, Cru, and Blair Shoemaker and many nieces and nephews. She was preceded in death by her parents; her brothers, Frankie, and H. Edwin (Jack) Branch; infant granddaughter, Valerie Jeanette Shoemaker and infant great-grandson, Benjamin Shoemaker.
Cremation has taken place. Graveside services will be held at 3 p.m. Monday, July 20, 2020, at Maple Shade Cemetery with Pastor Tom McMichael officiating. Memorials are suggested to Hospice of Lenawee County or the Onsted Alumni Association. Arrangements have been entrusted to Dunn Chapel, Brown-Van Hemert Funeral Home in Onsted. Condolences or words of comfort can be left at www.brownvanhemert.com.The Product database contains information from two sources. One is the Patient Information Management Systems (PIMS) installed in veterinary clinics across the United State. The other is from invoices for purchases made by over 1000 small animal vets, mixed (large and small) vets, large animal vets, equine vets, distributors, co-ops, farm supply stores and equine ranches. The Product Database is a central “data warehouse” where all relevant information is stored. The available information includes enhancements of data that were included in our well-established Animal Health Study (AHS), such as species, 27 major product classes and more than 250 sub-categories, over 5000 active products, compounded products, generics (both products and ingredients), forms, and sales measurements..
Retail Units and Dollars
Retail Price and Margin Reports
Brand Switching Reports
Free Goods and Promotion Tracking
Penetration Reporting
Compound Drug Sales
Pet Demographics Related to ProductsStandard equipment includes cruise control, six airbags, electronic stability control, tire-pressure monitoring and emergency-stop signal, “bringing new and higher levels of features and functionality to the segment,” the auto maker says.
New i10 bigger than VW Up and Fiat Cinquecento.
PORTO CERVO, Italy – Hyundai’s march up the world’s automotive rankings is at full steam with the new-generation i10 model, which is expected to raise the stakes in Europe’s city-car market when it hits showrooms later this year.
The new mini-Hyundai comes with a completely new design, styled to appeal particularly to European buyers and engineered for their expectations in terms of quality, comfort and fuel consumption.
The car will make its public debut at next month’s Frankfurt auto show and will be produced in Hyundai’s joint-venture plant in Izmit, in northwest Turkey.
Designed under the direction of Thomas Bürkleat the Hyundai Europe R&D Center in Rüsselsheim, Germany, the second-generation i10 is challenging the best competitors in the A-segment.
The new model measures 144.1 ins. (366.0 cm) in overall length and is 65.6 ins. (166.5 cm) wide and 58.7 ins. (149.0 cm) tall, making it markedly bigger – and offering more interior room – than the strongest entries in the segment, the Volkswagen Up and Fiat Cinquecento.
The styling meets with the expectations of Hyundai’s marketing department: modern language in a conservative book.
At launch, buyers will be able to choose between 1.0L 3-cyl. and 1.2L 4-cyl. gasoline engines, but a small diesel reportedly is in the pipeline.
The new-generation i10 marks “another significant step forward,” says Allan Rushforth, senior vice president and chief operating officer of Hyundai Europe. “Every aspect of the car has been designed and rigorously developed to meet the demands and needs of European consumers.”
Standard equipment includes cruise control, six airbags, electronic stability control, tire-pressure monitoring and emergency-stop signal, “bringing new and higher levels of features and functionality to the segment,” Hyundai says.
Production will start in September, three months ahead of original schedules, following an investment of some $630 million.
The annual capacity of the plant, which already produces the new i20 model, is expected to rise to 200,000 cars next year. Once the new-generation i10 goes on sale across Europe, only 10% of the Hyundais sold in the region will be imported.
In 2012, Hyundai achieved European sales of 444,000 units, for a 3.5% share of the market.
Almost 95% of the vehicles Hyundai sells in the region are designed, engineered and tested in Europe, and more than 70% are built at its two factories in Czech Republic and Turkey.Toward Administrative Diversity: An Analysis of the African-American Male Educational Pipeline

Using multiple national databases, this study examined African-American males throughout the educational pipeline, both as students and educational providers. Analyses of these databases provided a descriptive picture of African-American males' participation at each phase (e.g., high school completion, college enrollment, and doctoral degree completion), in comparison to White males', in an attempt to understand how this representation affects administrative diversity in higher and postsecondary education. The results suggest that in order to increase the representation of African-American males in academic administrative positions at colleges and universities, additional attention must be placed on each phase of the educational pipeline to increase the pool of eligible candidates.Loucity scores big with this Gold Standard BBQ Burger! This mouthwatering burger brings lip-smacking BBQ flavors to a beef and pork melody topped with crunchy onions on flaky Texas toast that’s perfectly accented by the tangy, slightly spicy pimento cheese element. This isn’t an everyday burger, but it is a burger you’ll think about every day.
What BBQ