Ciro Santilli @cirosantilli 37

Knock knock.

Our notation: $D_n$, called "dihedral group of degree n", means the dihedral group of the regular polygon with $n$ sides, and therefore has order $2n$ (all rotations + flips), called the "dihedral group of order 2n".

A Cartesian product that carries over some extra structure of the input groups.

E.g. the direct product of groups carries over group structure on both sides.

Specifies fixed values.

Can be used for elliptic partial differential equations and parabolic partial differential equations.

Numerical examples:

Like the U.S.' spring term.

Just like computers, biological systems can be seen as being composed of several different layers of complexity.

Bibliography: med.libretexts.org/Bookshelves/Anatomy_and_Physiology/Book%3A_Human_Anatomy_and_Physiology_Preparatory_Course_(Liachovitzky)/01%3A_Levels_of_Organization_of_the_Human_Organism/1.01%3A_Levels_of_Organization_of_the_Human_Organism

Clear experiment diagram which explains that the droplet mass determined with Stoke's law:

American Scientific, LLC sells a ready made educational kit for this: www.youtube.com/watch?v=EV3BtoMGA9c

Here's some actual footage of a droplet on a well described more one-off setup:

This American video likely from the 60's shows it with amazing contrast: www.youtube.com/watch?v=_UDT2FcyeA4

An inner product $x\cdot y$ induces a norm with:

Does not have any non-trivial normal subgroup.

And therefore, going back to our intuition that due to the fundamental theorem on homomorphisms there is one normal group per homomorphism, a simple group is one that has no non-trivial homomorphisms.

The derivative of a function gives its slope at a point.

More precisely, it give sthe inclination of a tangent line that passes through that point.