Category archives: Mathematics

The properties that characterize the definition of Nash equilibrium

The properties that characterize the definition of Nash equilibrium

EconomicsMathematics

By José Luis Ferreira

Strategic decision is the object of study for Game Theory, a discipline that started officially with the book The Theory of Games and Economic Behavior, by John von Neumann and Oskar Morgenstern . For non-cooperative games, i.e., games in which individuals make decisions individually and with no strings attached, the book was restricted to zero-sum […]

Finding collision-free tangential cutting directions when machining

Finding collision-free tangential cutting directions when machining

Computer scienceMathematicsMechanical EngineeringRobotics

By BCAM

One thing is designing an object in a computer, and another, quite different, is producing it as a real 3D object. All other things being equal, in general the more curves the designed object has, the more difficult it is to produce. Mathematics can be very helpful in this task. The geometric modeling of a […]

Sensograph: Fast sensory evaluation using computational geometry

Sensograph: Fast sensory evaluation using computational geometry

Mathematics

By David Orden

Sensory profiling is a very important tool in food industry, crucial in order to adapt the products to consumers’ preferences. Quantitative Descriptive Analysis (QDA) is a precise tool to relate characteristics of the product with consumers’ perception, since trained panels provide very detailed, robust, consistent, and reproducible results . However, creating and maintaining a well-trained […]

Wildfire propagation modelling

Wildfire propagation modelling

MathematicsPhysics

By BCAM

Wildfires are a major problem with a strong impact on human life, property and the environment, Global warming and a legacy of poor management are the forces behind the increase in their occurrence and in their magnitude measured in extension. In 2017, an unusual number of extensive and severe wildfires occurred in many parts of […]