Crest Mathematics

https://sinews.siam.org/Details-Page/improving-numerical-accuracy-for-the-viscous-plastic-formulation-of-sea-ice

Improving Numerical Accuracy for the Viscous-plastic Formulation of Sea Ice By Tongtong Li, Anne E. Gelb, and Yoonsang Lee Sea ice dynamics play a critical role in shaping the ice cover in polar regions. The accurate modeling and simulation of such dynamics are crucial for the prediction of environmental variables, which in turn find a wide range of practical applications ....

https://sinews.siam.org/Details-Page/two-approaches-for-representing-the-stochastic-dynamics-of-foraging-behaviors

Two Approaches for Representing the Stochastic Dynamics of Foraging Behaviors By Jillian Kunze “Foraging is a ubiquitous behavior that all animals do, as they self-sustain by searching for food to acquire energy,” Ahmed El Hady of the Max Planck Institute of Animal Behavior and the Center for Advanced Study of Animal Behavior (formerly of Princeton University) said. Forag...

https://sinews.siam.org/Details-Page/do-you-trust-your-speech-recognition-system

Do You Trust Your Speech Recognition System? By Jon Vadillo, Roberto Santana, and Jose A. Lozano Ever-increasing advances in artificial intelligence systems have given rise to flourishing technologies, such as automatic speech recognition systems, self-driving vehicles, robotics, and computer-aided diagnosis systems. In addition to the availab...

https://sinews.siam.org/Details-Page/building-a-mathematical-toolbox-for-biological-network-analysis

Building a Mathematical Toolbox for Biological Network Analysis By Lenore J. Cowen Large public databases that aggregate the many results of experiments in cell biology are increasingly expanding our knowledge of the relationships between human genes. Graph or network representations are appropriate for several types of data; for example, the classical protein-p...

https://sinews.siam.org/Details-Page/origami-and-the-structure-of-materials

Origami and the Structure of Materials By Huan Liu, Paul Plucinsky, Fan Feng, Arun Soor, and Richard D. James The world’s population is growing approximately linearly by about 80 million individuals per year, leaving less and less space per person on average. Perhaps this growth is responsible for an explosion of interest in origami—...

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Casting Out Sevens -- from Wolfram MathWorld A method for verifying the correctness of an arithmetical operation on natural numbers, based on the same principle as casting out nines. The methods of sevens takes advantage of the fact that the residue (mod 7) of a sum (or product) must be equal to the sum (or product) of the residues of the summ...

An Incompetence Problem By Mark Levi When ruminating recently on the question of finding a person who one can trust to do a job well (speaking of many occupations that range from lawyers and politicians to teachers, plumbers, and physicians), I thought of the following toy problem with no implied connection to reality. Con...

Math in Our Lives Series: SIAM Journal on Applied Mathematics What is the best use of personal energy while running track? Can math be used to predict sea level rise and its impact? These are topics of recent SIAM journ...

Mathematical Models of Traffic Flow By Helge Holden and Nils Henrik Risebro Preliminary mathematical models of traffic flow date back to at least the early 1950s [10]. Two distinct classes of models prevail: follow-the-leader (FtL) models and traffic hydrodynamics. The former tracks individual vehicles, while the sufficiently dense tr...

Cutting a Möbius strip in half (and more) | Animated Topology | ________________________________________________________________About the video: Exploring the properties and other unexpected shapes that we get by cutting ...

Changing Community Networks Impact Disease Spread By Jillian Kunze The COVID-19 pandemic has made clear the importance of understanding precisely how diseases spread throughout networks of transportation. However, rigorously determining the connection between disease risk and changing networks—which either humans or the environment may alter—is...