TUTSIM, or "TUTSIM - The University of Tübingen Simulation," is a simulation software developed by the University of Tübingen in Germany. It is designed primarily for educational purposes, allowing users to model and simulate various systems and scenarios, often in fields such as epidemiology, ecology, and environmental science. The software enables students and researchers to visualize complex phenomena, analyze the effects of different variables, and better understand the dynamics of the systems being studied.

Population pressure refers to the strain that a growing population exerts on the resources and infrastructure of a given area. This concept examines how increases in population can lead to challenges in various sectors, including: 1. **Resource Availability:** As the population increases, the demand for natural resources such as water, food, and energy also rises, which can lead to shortages or depletion of these resources.

Constantine Dafermos is a mathematician known for his contributions to the field of applied mathematics, especially in areas related to differential equations, dynamical systems, and control theory. His work has significantly impacted mathematical modeling and analysis in various scientific and engineering applications.

Voigt notation is a mathematical notation used in the field of continuum mechanics, particularly in the study of elasticity and the representation of stress and strain tensors. It serves to simplify the representation of these tensors by reducing their dimensionality. In three-dimensional space, both the stress and strain tensors are represented as \(3 \times 3\) matrices.

Vertex configuration typically refers to how the vertices (corners or points) of a geometric object are arranged or categorized, particularly in the context of polyhedra or other polygonal shapes. In mathematics and computer graphics, the term could also relate to the organization or representation of vertex data in graphical contexts, such as in 3D modeling.

"Up tack" is a term used primarily in the context of the navigation and sailing world. It refers to the action of sailing a vessel towards the wind, allowing it to make progress in a generally forward direction by changing its direction to an angle that is slightly off from the wind's origin. In sailing, going "up tack" means that the boat is sailing as close to the wind as possible without "taking the wind," or stalling out.

Ciro Santilli is a fan of this late 2010's buzzword.

It basically came about because of the endless stream of useless software startups made since the 2000's by one or two people with no investments with the continued increase in computers and Internet speeds until the great wall was reached.

Deep tech means not one of those. More specifically, it means technologies that require significant investment in expensive materials and laboratory equipment to progress, such as molecular biology technologies and quantum computing.

And it basically comes down to technologies that wrestle with the fundamental laws of physics rather than software data wrangling.

Computers are of course limited by the laws of physics, but those are much hidden by several layers of indirection.

Full visibility, and full control, make computer tasks be tasks that eventually always work out more or less as expected.

The same does not hold true when real Physics is involved.

Physics is brutal.

To start with, you can't even see your system very clearly, and often doing so requires altering its behaviour.

For example, in molecular biology, most great discoveries are made after some new technique is made to be able to observe smaller things.

But you often have to kill your cells to make those observations, which makes it very hard to understand how they work dynamically.

What we would really want would be to track every single protein as it goes about inside the cell. But that is likely an impossible dream.

The same for the brain. If we had observations of every neuron, how long would it take to understand it? Not long, people are really good at reverse engineering things when there is enough information available to do so, see also science is the reverse engineering of nature.

Then, even when you start to see the system, you might have a very hard time controlling it, because it is so fragile. This is basically the case of quantum computing in 2020.

It is for those reasons that deep tech is so exciting.

The next big things will come from deep tech. Failure is always a possibility, and you can't know before you try.

But that's also why its so fun to dare.

Stuff that Ciro Santilli considers "deep tech" as of 2020:

A **topological ring** is a mathematical structure that combines the concepts of a ring and a topology. Specifically, a topological ring is a ring \( R \) that is also equipped with a topology such that the ring operations (addition and multiplication) are continuous with respect to that topology.

Set-builder notation is a mathematical notation used to describe a set by specifying a property that its members must satisfy. It allows for the concise definition of sets, especially those that are infinite or defined by a particular condition.

Positional notation is a system for representing numbers in which the position of each digit within a number determines its value based on a specific base or radix. This system allows for the efficient representation of large numbers using only a finite set of symbols (digits). ### Key Features of Positional Notation: 1. **Base (Radix)**: The base of the positional number system determines how many distinct digits are used and the value of each digit's position.