vault backup: 2023-05-21 14:49:15

Affected files:
.obsidian/plugins/obsidian-git/data.json
.obsidian/workspace.json
Languages/Spanish.md
Languages/Spanish/Verbs.md
Politcs/Fascism.md
STEM/Images/em-spectrum.png
STEM/Images/fermi-vacuum-level.png
STEM/Images/photo-electric.png
STEM/Light.md
STEM/Maths/Tensor.md
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andy 2023-05-21 14:49:15 +01:00
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1. The maximum KE of ejected electrons is independent of intensity, but dependent on frequency $n$
2. There is a minimum frequency n0below which there is no emission
3. No time delay (less than 1 ns) before the onset of emission but the rate of electrons depends on the intensity.
![[photo-electric.png]]
![[fermi-vacuum-level.png]]
![[em-spectrum.png]]
- Radio spectrum
- 30Hz 300 GHz

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## Rank
- Number of indices
- Basis vectors per dimension/component
- 0
- Scalar
- 1
- Column Vector
- 2
- Square Matrix
- 3
- Cube matrix
Matrices are not inherently rank-2 tensors. Matrices are just the formatting structure. The tensor described by the matrix must follow the transformation rules to be a tensor
![[tensor.png]]
# Transformation Rules
1. Transforms like a tensor
2. Invariant to a change in coordinate system
- Components change according to mathematical formulae
## Dimension
- Dimensionality to the rank = number of components
An $n$-[rank](https://mathworld.wolfram.com/TensorRank.html) tensor in $m$-dimensional space is a mathematical object that has $n$ indices and $m^n$ components and obeys certain transformation rules
From <[wolfram](https://mathworld.wolfram.com/Tensor.html)>