Some rules to follow
WORK IN PROGRESS
This is an opinionated standard.
Note: test
1. Test
Scalar, vectors, matrices and random variables:
Symbola,b,c,α,β,γx,y,z,α,β,γA,B,C,Γ,Σ,ΦX,Y,ZX,Y,ZMeaningScalarVectorMatrixRandom variableRandom vectorStyleroman or greek, lowercase, italicroman or greek, lowercase, bold + upright if romanroman or greek, uppercase, bold, uprightroman, uppercase, italicroman, uppercase, bold, italic
General sets and special sets:
Symbol{A},{B},{C}∅ZNRCΩA,B,CMeaningSetEmpty setSet of integersSet of natural numbersSet of real numbersSet of complex numbersSample spaceEventStyleroman, calligraphicempty set symbolblackboard Zblackboard Nblackboard Rblackboard Cuppercase omegaroman, uppercase, upright
General and special functions, general and special operators:
\begin{array}{l|ll}
\hline
\mathbf{Symbol} & \mathbf{Meaning} & \mathbf{Style} \\
\hline
f\of{\cdot}, \mu\of{\cdot} & \text{Function} & \text{roman or greek, round brackets} \\
F\Of{\cdot}, \Delta\Of{\cdot} & \text{Operator} & \text{roman or greek, square brackets} \\
\hline
\end{array}
TODO
to support reading flow
- avoid display math wherever possible
- avoid using parentheses in text (not math-mode) wherever possible, wrap text in commas instead
- avoid itemize and enumitem, use them only if their use strictly increases and improves reading flow
- only a tot number (how many?) of envs per subsection, not too many or else reading flow will suffer
- plural in definition and proposition names (e.g. Counting measures) and singular in examples (e.g. Counting measure)
- if they exist, official lemma and proposition names should be used (e.g. Weierstrass)
- the idea is not to introduce yet another tool for interactive content, for that jupyter notebooks and such exist, but rather to have a uniform way of dealing with publications on the web
- therefore COMMANDS THAT ARE NOT REPLICABLE THROUGH TEX ARE NOT ALLOWED IN MARKTEX
- Use capitalization for propositions and theorems, e.g. Novikov's Condition, Itô's Lemma, Girsanov's Theorem
- superscript only if in parentheses e.g. X(n)
⌊x⌋
⌈x⌉
sup(x,y)
sup(x,y)
exp(a)
f(x,y),f(x,y),f(x,y),f(x,y)
f(x,y),f(x,y),f(x,y),f(x,y)
dydx
∂yn∂nx
A statement S is either true or false but not both. Let S1 and S2 be two statements. We write “S1⟹S2” if S1 implies S2. We write “S1⟺S2”, “S1 if and only if S2” or “S1 iff S2” if S1⟹S2 and S2⟹S1. Further, the symbol “:” denotes such that, ∀ means for all and ∃ means there exists.