Ciro Santilli @cirosantilli 37

The proper precise definition of mathematics can be found at: Section "Formalization of mathematics".

The most beautiful things in mathematics are described at: Section "The beauty of mathematics".

When it exists, which is not for all matrices, only invertible matrix, the inverse is denoted:

Experiments that involve sequencing bulk DNA found in a sample to determine what species are present, as opposed to sequencing just a single specific specimen. Examples of samples that are often used:

One related application which most people would not consider metagenomics, is that of finding circulating tumor DNA in blood to detect tumors.

TODO examples:

OK, now we're talking, two liner and you get a window showing bounding box object detection from your webcam feed!The accuracy is crap for anything but people. But still. Well done. Tested on Ubuntu 22.10, P51.

Sometimes you are really certain that something is a required substep for another thing that is coming right afterwards.

When things are this concrete, fine, just do the substep.

But you have to always beware of cases where "I'm sure this will be needed at some unspecified point in the future", because such points tends to never happen.

YAGNI is so fundamental, there are several closely related concepts to it:

Nobel Prize of Mathematics.

The Nobel Prize of mathematics!

That 15,000 canadian dollar prize though, what a joke! That's what you get when an impoverished scientist, and not a rich industrialist, creates a prize!

Microwave only found applications into the 1940s and 1950s, much later than radio, because good enough sources were harder to develop.

One notable development was the cavity magnetron in 1940, which was the basis for the original radar systems of World War II.

Upside: superconducting above 92K, which is above the 77K of liquid nitrogen, and therefore much much cheaper to obtain and maintain than liquid helium.

Downside: it is brittle, so how do you make wires out of it? Still, can already be used in certain circuits, e.g. high temperature SQUID devices.

Many hits appear to happen on the same days, and per-day data does exist: archive.org/details/widecrawl but apparently cannot be publicly downloaded unfortunately. But maybe there's another way? TODO select candidates.

The matrix representation of the symmetric bilinear form that is the Minkowski inner product.

Since that is a symmetric bilinear form, the associated matrix is a symmetric matrix.

By default, we will use the time negative representation unless stated otherwise:but another equivalent one is to use a time positive representation:The matrix is typically denoted by the Greek letter eta.