Ciro Santilli @cirosantilli 40

The total derivative of a function assigns for every point of the domain a linear map with same domain, which is the best linear approximation to the function value around this point, i.e. the tangent plane.

E.g. in 1D:and in 2D:

Start by looking at: Maxwell-Boltzmann vs Bose-Einstein vs Fermi-Dirac statistics.

This is a family of computers. It was a big success. It appears that this was a big unification project of previous architectures. And it also gave software portability guarantees with future systems, since writing software was starting to become as expensive as the hardware itself.

Media:

Quantum mechanics stuff at University of Hanover. Good teaching. Big respect:

Profiles:

From Wikipedia:

Topology is the plumbing of calculus.

The key concept of topology is a neighbourhood.

Just by havin the notion of neighbourhood, concepts such as limit and continuity can be defined without the need to specify a precise numerical value to the distance between two points with a metric.

As an example. consider the orthogonal group, which is also naturally a topological space. That group does not usually have a notion of distance defined for it by default. However, we can still talk about certain properties of it, e.g. that the orthogonal group is compact, and that the orthogonal group has two connected components.

TODO where to find it: www.kaggle.com/general/50987

Cited on original Generative adversarial network paper: proceedings.neurips.cc/paper_files/paper/2014/file/5ca3e9b122f61f8f06494c97b1afccf3-Paper.pdf

The summary from www.geeksforgeeks.org/tree-traversals-inorder-preorder-and-postorder/ is a winner:

In principle one could talk about tree traversal of unordered trees as a number of possible traversals without a fixed order. But we won't consider that under this section, only deterministic ordered tree traversals.

The Wayback Machine has an endpoint to query cralwed pages called the CDX server. It is documented at: github.com/internetarchive/wayback/blob/master/wayback-cdx-server/README.md.

This allows to filter down 10 thousands of possible domains in a few hours. But 100s of thousands would be too much. This is because you have to query exactly one URL at a time, and they possibly rate limit IPs. But no IP blacklisting so far after several hours, so it's not that bad.

Once you have a heuristic to narrow down some domains, you can use this helper: ../cia-2010-covert-communication-websites/cdx.sh to drill them down from 10s of thousands down to hundreds or thousands.

We then post process the results of cdx.sh with ../cia-2010-covert-communication-websites/cdx-post.sh to drill them down from from thousands to dozens, and manually inspect everything.

From then on, you can just manually inspect for hist on your browser.

Design software for synthetic biological circuit.

The input is in Verilog! Overkill?

Then it essentially maps to a standard cell library of biological primitives!

Welcome to the wonderful world of Cirism!

Followers of Cirism call themselves Cirists, and their primary goal in life is to obtain Cirocoins.

Cirism is totally not a cult, has been officially verified to be compatible with all major world religions.

Enlightened Cirists donate money to the cause at: Section "Sponsor Ciro Santilli's work on OurBigBook.com". It is totally optional of course, your soul will just be eternally damned if you don't.

Ciro Santilli once proclaimed:

The elliptic curve group of all elliptic curve over the rational numbers is always a finitely generated group.

The number of points may be either finite or infinite. But when infinite, it is still a finitely generated group.

For this reason, the rank of an elliptic curve over the rational numbers is always defined.

TODO example.