Ciro Santilli @cirosantilli 35

In Monod's studies he discovered that the course work was decades behind the current biological science. He learned from other students a little older than himself, rather than from the faculty.

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Patent by

Ciro Santilli 35  Updated 2025-04-24  +Created 1970-01-01

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Figure 1.
User-operated amusement apparatus for kicking the user's buttocks figure 5
. Source.

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Laplace's equation by

Ciro Santilli 35  Updated 2025-04-24  +Created 1970-01-01

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Like a heat equation but for functions without time dependence, space-only.

TODO confirm: does the solution of the heat equation always converge to the solution of the Laplace equation as time tends to infinity?

In one dimension, the Laplace equation is boring as it is just a straight line since the second derivative must be 0. That also matches our intuition of the limit solution of the heat equation.

Uniqueness: Uniqueness theorem for Poisson's equation.

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General linear group by

Ciro Santilli 35  Updated 2025-04-24  +Created 1970-01-01

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Invertible matrices. Or if you think a bit more generally, an invertible linear map.

When the field

F

is not given, it defaults to the real numbers.

Non-invertible are excluded "because" otherwise it would not form a group (every element must have an inverse). This is therefore the largest possible group under matrix multiplication, other matrix multiplication groups being subgroups of it.

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Projective linear group by

Ciro Santilli 35  Updated 2025-04-24  +Created 1970-01-01

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TODO motivation. Motivation. Motivation. Motivation. The definitin with quotient group is easy to understand.

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Dihedral group by

Ciro Santilli 35  Updated 2025-04-24  +Created 1970-01-01

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Our notation:

D_{n}

, called "dihedral group of degree n", means the dihedral group of the regular polygon with

n

sides, and therefore has order

2 n

(all rotations + flips), called the "dihedral group of order 2n".

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Ames Hydroelectric Generating Plant by

Ciro Santilli 35  Updated 2025-04-24  +Created 1970-01-01

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Inward Bound by Abraham Pais (1988) by

Ciro Santilli 35  Updated 2025-04-24  +Created 1970-01-01

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Free borrow on the Internet Archive: archive.org/details/inwardboundofmat0000pais/page/88/mode/2up

The book unfortunately does not cover the history of quantum mechanics very, the author specifically says that this will not be covered, the focus is more on particles/forces. But there are still some mentions.

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Purgatory by