Ciro Santilli @cirosantilli  40

Some that Ciro Santilli likes:

Ciro Santilli's favorites are:He used to also play some first-person shooters as they can be fun to empty your brain.

It is hard to pinpoint why, but the following useful software just feel bad for some reason:

The ultimate computer user-interface!

Brain-computer interfaces could be the next big thing.

And life extension? worldbuilding.stackexchange.com/questions/112022/would-an-invasive-spinal-cord-brain-computer-interface-allow-healthy-individuals

The key content previously on this page was moved to the following sections:

Non-technical skills were moved to: Ciro Santilli's skills.

This has not been updated since 2016 after Ciro got a job, because it is too hard to put a number on any skill.

What really matters are the most important projects done by Ciro Santilli.

Classifies clichés in storytelling.

Every page is highly intelligent and interlinked to other pages.

It is incredible.

Most of them use titles from TV Tropes.

Basically it is a larger space such that there exists a surjection from the large space onto the smaller space, while still being compatible with the topology of the small space.

We can characterize the cover by how injective the function is. E.g. if two elements of the large space map to each element of the small space, then we have a double cover and so on.

The key concept of topology.

We map each point and a small enough neighbourhood of it to ${\mathbb{R}}^n$, so we can talk about the manifold points in terms of coordinates.

Does not require any further structure besides a consistent topological map. Notably, does not require metric nor an addition operation to make a vector space.

Manifolds are cool. Especially differentiable manifolds which we can do calculus on.

A notable example of a Non-Euclidean geometry manifold is the space of generalized coordinates of a Lagrangian. For example, in a problem such as the double pendulum, some of those generalized coordinates could be angles, which wrap around and thus are not euclidean.

A metric is a function that give the distance, i.e. a real number, between any two elements of a space.

A metric may be induced from a norm as shown at: Section "Metric induced by a norm".

Because a norm can be induced by an inner product, and the inner product given by the matrix representation of a positive definite symmetric bilinear form, in simple cases metrics can also be represented by a matrix.