{c}
{wiki}

\Video[https://www.youtube.com/watch?v=waEC-8GFTP4]
{title=Ain't Nobody Got Time For That}


Ain't Nobody Got Time For That

{c}

TODO possible? https://superuser.com/questions/559768/ffplay-how-to-play-together-separate-video-and-audio-files

For synthesized streams like `sine` we can do it e.g.
``
ffplay -autoexit -nodisp -f lavfi -i '
sine=frequency=500[a];
sine=frequency=1000[b];
[a][b]amerge, atrim=end=2
'
``
but it does not seem to accept multiple `-i` for some reason. So is there a way to open a file from some filter? E.g.:
``
ffplay -i tmp.wav -i tmp.mkv -filter_complex "[0:a]atrim=end=2[a];[1:v]trim=end=2[v]" -map '[a]' -map '[v]'
``
fails with:
``
Argument 'tmp.mkv' provided as input filename, but 'tmp.wav' was already specified.
``


ffplay multiple input files

Fractional quantum Hall effect for $\nu = 1/m$

Fractional quantum Hall effect for ν=1/m

Fractional quantum Hall effect for $\nu \ne 1/m$

Fractional quantum Hall effect for ν=1/m

{wiki}

Is the solution to a <system of linear ordinary differential equations>, the <exponential function> is just a 1-dimensional subcase.

Note that more generally, the <matrix exponential> can be defined on any <ring (mathematics)>.

The matrix exponential is of particular interest in the study of <Lie groups>, because in the case of the <Lie algebra of a matrix Lie group>, it provides the correct <exponential map>.

\Video[https://www.youtube.com/watch?v=O85OWBJ2ayo]
{title=How (and why) to raise e to the power of a matrix by <3Blue1Brown> (2021)}

Matrix exponential

Raga by time of the day

{c}
{tag=Good book}

Borrow from the <Internet Archive> for free: https://archive.org/details/manbehindmicroc000berl/page/n445/mode/2up

Robert Noyce: The Man Behind the Microchip by Leslie Berlin (2006)

{tag=Functional equation}
{wiki}

= Polynomial equation
{synonym}
{title2}


Algebraic equation

{tag=Number}
{title2=Root of a polynomial}
{wiki}


Algebraic number

{c}
{wiki}

= CCTV
{c}
{synonym}
{title2}

https://cirosantilli.com/china-dictatorship/cctv


China Central Television

Chinese book

Chinese poetry

Indian classical musician

Indian classical musician by instrument

{wiki}

A solution to a <computational problem>!

Algorithm

Alibaba

Alibaba Cloud

A linear map $A$ can be seen as a (1,1) <tensor> because:
$$
T(w, v*) = v* A w
$$
is a number, $v*$. is a <dual vector>, and <W> is a <vector>. Furthermoe, $T$ is linear in both $v*$ and $w$. All of this makes $T$ fullfill the definition of a (1,1) tensor.

A linear map is a (1,1) tensor

{wiki}

Allele means "other" in <Greek (language)>.

Ciro Santilli @cirosantilli 37