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 […]

How lithium ions move in substituted ceramic solid electrolytes

How lithium ions move in substituted ceramic solid electrolytes

ChemistryCondensed matterEnergyMaterialsMathematics

By BCAM

From electric vehicles to storing wind and solar energy produced during off-peak hours, rechargeable lithium-ion (Li-ion) batteries are the best option that we currently have tu support our technological future. But if we want them to be truly environmentally-friendly and safe devices, they do need some changes. The Li-ion battery is a rechargeable cell. Typically […]

Optimizing arrythmia ablation

Optimizing arrythmia ablation

MathematicsMedicine

By BCAM

The heart is a muscular organ with four chambers designed to work efficiently, reliably, and continuously over a lifetime. The muscular walls of each chamber contract in a regulated sequence, pumping blood as required by the body while expending as little energy as possible during each heartbeat. Contraction of the muscle fibres in the heart […]