The reason why the epsilon delta definition is so venerated is that it fits directly into well known methods of the formalization of mathematics, making the notion completely precise.
Poor renaming choice.
A hot hot place.
users.ox.ac.uk/~corp0014/B6-lectures.html gives a syllabus:
- Heat capacity in solids, localised harmonic oscillator models (Dulong-Petit law and Einstein model)
- Heat capacity in solids, a model of sound waves (Debye model)
- A gas of classical charged particles (Drude theory)
- A gas of charged fermions (Sommerfeld theory)
- Bonding
- Microscopic theory of vibrations: the 1D monatomic harmonic chain. Mike Glazer's Chainplot program.
- Microscopic theory of vibrations: the 1D diatomic harmonic chain
- Microscopic theory of electrons in solids: the 1D tight-binding chain
- Geometry of solids: crystal structure in real space. VESTA, 3D visualization program for structural models; an example crystal structure database.
- Geometry of solids: real space and reciprocal space. Reciprocal Space teaching and learning package.
- Reciprocal space and scattering. A fun way to discover the world of crystals and their symmetries through diffraction.
- Scattering experiments II
- Scattering experiments III
- Waves in reciprocal space
- Nearly-free electron model
- Band structure and optical properties
- Dynamics of electrons in bands
- Semiconductor devices. Intel's "A History of Innovation"; Moore's Law; From Sand to Circuits.
- Magnetic properties of atoms
- Collective magnetism. A micromagnetic simulation tool, The Object Oriented MicroMagnetic Framework (OOMMF); OOMMF movies of magnetic domains and domain reversal.
- Mean field theory
Problem set dated 2015: users.ox.ac.uk/~corp0014/B6-materials/B6_Problems.pdf Marked by: A. Ardavan and T. Hesjedal. Some more stuff under: users.ox.ac.uk/~corp0014/B6-materials/
The book is the fully commercial The Oxford Solid State Basics.
Pseudo-fuck.
December 2023: found the keys for the Kryptonite Kryptolock and the Abus in the house, so now I've got backup!
2023 lost one of the two keys to Kryptonite Kryptolock and to the Abus padlock:
- rebuying cryptonite, seems exactly the same. If the old key is ever found, it can re-enter usage.
- replacing Abus padlock buying a similarly featured Master lock "commercial" padlock, looks like this one: www.screwfix.com/p/master-lock-excell-laminated-steel-master-keyed-weatherproof-padlock-51mm/153KH
2018 Kryptonite Kryptolock. Looks like: www.kryptonitelock.com/en/products/product-information/current-key/002031.html Includes Transit Flexframe-U Bracket carrier
2017 Abus Sinus Plus 471/150 HB U-lock. Sample seller with image: www.lockshopdirect.co.uk/products/abus-sinus-plus-471-d-lock-230mm-shackle-62620/
Furthermore, TODO confirm it is possible that a solution does not exist at all if and aren't sufficiently small.
This formula is likely the basis for the Lie group-Lie algebra correspondence. With it, we express the actual group operation in terms of the Lie algebra operations.
Notably, remember that a algebra over a field is just a vector space with one extra product operation defined.
Vector spaces are simple because all vector spaces of the same dimension on a given field are isomorphic, so besides the dimension, once we define a Lie bracket, we also define the corresponding Lie group.
Since a group is basically defined by what the group operation does to two arbitrary elements, once we have that defined via the Baker-Campbell-Hausdorff formula, we are basically done defining the group in terms of the algebra.
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