Truth table

Lossless compression

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A <multilinear form> with a <domain (function)> that looks like:
$$
V^m \times {V*}^n \to \R
$$
where $V*$ is the <dual space>.

Because a tensor is a <multilinear form>, it can be fully specified by how it act on all combinations of basis sets, which can be done in terms of components. We refer to each component as:
$$
T_{i_1 \ldots i_m}^{j_1 \ldots j_n} = T(e_{i_1}, \ldots, e_{i_m}, e^{j_1}, \ldots, e^{j_m})
$$
where we remember that the raised indices refer <dual vector>.

Some examples:
* <Levi-Civita symbol as a tensor>
* <a linear map is a (1,1) tensor>

Explain it properly bibliography:
* https://www.reddit.com/r/Physics/comments/7lfleo/intuitive_understanding_of_tensors/
* https://www.reddit.com/r/askscience/comments/sis3j2/what_exactly_are_tensors/
* https://math.stackexchange.com/questions/10282/an-introduction-to-tensors?noredirect=1&lq=1
* https://math.stackexchange.com/questions/2398177/question-about-the-physical-intuition-behind-tensors
* https://math.stackexchange.com/questions/657494/what-exactly-is-a-tensor
* https://physics.stackexchange.com/questions/715634/what-is-a-tensor-intuitively

Tensor

Zermelo-Fraenkel axioms with the axiom of choice

https://www.youtube.com/watch?v=zvuYJTL90J8&t=166s The Coronavirus Replication Cycle by Kevin Tokoph (2020)


Coronavirus Replication Cycle

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Subcase of a <normed vector space>, therefore also necessarily a <vector space>.

Inner product space

$L^1$

L1

Year 2 or 3 course of the computer science course of the University of Oxford

Angel

Ciro Santilli's mother

Collective intelligence

{c}
{title2=1937-2020}
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= 刘德海
{synonym}
{title2}

\Image[https://upload.wikimedia.org/wikipedia/commons/7/7e/Dehai_Liu%2C_un_grand_ma%C3%AEtre_du_Pipa_au_mus%C3%A9e_Guimet_%285153867190%29.jpg]
{title=<Liu Dehai> peforming at the <#Musée Guimet> in 2010}

Ciro Santilli @cirosantilli 40