Ciro Santilli @cirosantilli 37

See form.

Analogous to a linear form, a multilinear form is a Multilinear map where the image is the underlying field of the vector space, e.g. ${\mathbb{R}}^{n_1}\times {\mathbb{R}}^{n_2}\times {\mathbb{R}}^{n_2}\to \mathbb{R}$.

As of 2022, this channel is still finding its feet. But it has promise.

Unfortunately it does not show sample preparation, and it does not use controlled cultures, so we are never sure which species are represented.

Vs metric:

Way, way, way too much running and fighting.

Also way too idealistic :Sliding scale of idealism vs. cynicism.

Also the good/evil is way too black and white.

If only everything was instead funny and charming and intelligent like the very first part in the Shire... that section and others interspersed withing the running are good film level.

Ciro Santilli's favorite religion. He does not believe fully in it, nor has he studied it besides through brief Wikipedia and Googling.

Ciro likes Buddhism because it feels like the least "metaphysical explanations to things you can't see" of the religions he knows.

Rather, it feels more like "a plausible theory of the mind" and highly compatible with physics.

Ciro also believes that there is a positive correlation between being a software engineer and liking Buddhist-like things, see also: the correlation between software engineers and Buddhism.

This does not seem to go deep into the Standard Model as Physics from Symmetry by Jakob Schwichtenberg (2015), appears to focus more on more basic applications.

But because it is more basic, it does explain some things quite well.

Every Lie algebra corresponds to a single simply connected Lie group.

The Baker-Campbell-Hausdorff formula basically defines how to map an algebra to the group.

Bibliography:

Cardinality $\le$ dimension of the vector space.

An Introduction to Tensors and Group Theory for Physicists by Nadir Jeevanjee (2011) shows that this is a tensor that represents the volume of a parallelepiped.

It takes as input three vectors, and outputs one real number, the volume. And it is linear on each vector. This perfectly satisfied the definition of a tensor of order (3,0).

Given a basis $(e_i,e_j,e_k)$ and a function that return the volume of a parallelepiped given by three vectors $V(v_1,v_2,v_3)$, ${\epsilon }_{ikj}=V(e_i,e_j,e_k)$.