Final notation / style guide

[RaphaelS1]

Pinning this issue for easy reference. Collect notation and styles in this issue please.

Notation

• Use hat notation in measures or models when referring to terms that are usually predicted (e.g., hatS in Antolini's)
• x - scalar
• bf{x} - vector
• bf{X} - matrix
• cal{X} - set
• Use $m$ as vector length for test data
• X - random variable (vector or scalar)
• Use observations not random variables as standard
• Use subscript to refer indices of a vector/matrix not superscript, e.g. x_i or x_ij
• Use _train/_test to refer to training or test data, e.g. cal{D}_train = (x_train, y_train)
• Introduce vectors as:

• I've written a macro: \dvec{a}{b} which would define \boldsymbol{a} = (a_1 \ a_2 \cdots a_{b})^\trans
• Use \ldots instead of '...'
• Write lists as:

1. A;
2. B;
3. C.

• Do not use contractions, e.g. 'don't' -> 'do not'
• Use colons not dashes in lists, e.g. A: foobar; not B -- foobar

Chapter Structure

1. Abstract (online only) ~ 300words explaining chapter in non-technical terms
2. Introduction - Lay summary of the chapter with references to sections
3. Main content
4. Conclusion
   i. What we covered in the chapter
   ii. Literature and further reading

[RaphaelS1]

Style guide

• Don't use "c.f" (just for consistency)
• Don't need to use "Section [at]sec" (it's automated by quarto)

[RaphaelS1]

Align wedge vs cap

From GPT:

A ∨ B means "A is true OR B is true (or both)" in logic
A ∪ B means "the set containing all elements from both sets A and B" in set theory

[RaphaelS1]

Remove all i.e., e.g.,

[RaphaelS1]

Label all equations

[adibender]

Check all alt-fig captions