The concept of a net generalizes the concept of a sequence. We can talk about convergent nets in a similar way we talk about convergent sequences. Moreover, the concept of a filter allows us to study convergence of nets. These generalizations provide us with more powerful tools to better understand ideas studied in the Calculus courses.
https://pitt.zoom.us/j/93675582095
Meeting ID: 936 7558 2095
Noga Mosheiff will present the following paper: A Model to Predict COVID-19 Epidemics with Applications to South Korea, Italy, and Spain
https://pitt.zoom.us/j/98300182092
Password: nopizza
CHANGED TIME (2PM!!)
If $n<m$ and $f:\mathbb{R}^n \to \mathbb{R}^m$ is an injective (and reasonably nice) function then image of $f$ is an $n$-dimensional object sitting inside the larger $\mathbb{R}^m$. Examples: a curve or surface in $\mathbb{R}^3$. But what if we turn the tables and consider functions $f:\mathbb{R}^m \to \mathbb{R}^n$ where $m > n$? There is just not enough room and many points must map to a common target point. In this talk I will explain the precise mathematical meaning of the following and end with the Coarea Inequality:
In this talk I will present basic in-host mathematical models that have been widely used to describe acute and chronic pathogenic infections including HIV, HBV, IAV, and now COVID-19. I will also talk about the benefits and limitations of these models.
The way we learn about logarithms as young mathematical epsilons, is in their relationship to the exponential function. On the other hand, the history of logarithms has no exponents in sight. The invention of the logarithm is more closely related to the invention of a piece of technology like the calculator than it is to the invention a new mathematical function. This new technology emerged simultaneously with the scientific revolution and this was no accident.