item | notation |
---|---|
multiply product | cross sign, e.g. a×b |
matrix product | dot sign, e.g. a.b |
scalar product (product of a matrix by a scalar) | dot sign, scalar should precede matrix e.g. |
matrix dimensioning | number of rows × number of column, e.g.: R×C |
Kronecker product | a⊗b |
bracketing of sets (all elements of same type, not ordered elements) | curly brackets {}, e.g. |
bracketing of lists (all elements not necessary of same type, ordered elements) | round brackets (), e.g. |
bracketing of sequences (all elements of same type, ordered elements) | angle brackets, e.g. |
bracketing of function argument | round brackets, e.g. f(x) |
bracketing of array index | square brackets, e.g. a[x] |
bracketing of matrix or vector | square brackets [], e.g. |
Separation of indexes | use a comma : e.g. N_{i,j} |
use of italic for symbols | a symbol should be either in italic or in normal font, but mixing up should be avoided. |
bracketing of arithmetic expression to force precedence of operations | round brackets : e.g. |
necessity of bracketing arithmetic expressions | When only + and × bracketing is not necessary. When the mod operator is used explicit bracketing of mod operands and possibly result should be done. |
number type | in a context of non negative integer numbers, some notes should stress when a number is signed, or possibly fractional. |
binary xor and and | respectively use + or ⋅. If no "mod 2" is explicitly in the expression some text should stress that the operation is modulo 2. |
matrix or vector transpose | v^{T} |
1x1 matrices | implicitly cast to its unique element. |
vector dot product | uT⋅v for column vectors, and u⋅vT for line vectors |
complex conjugate | |
matrix or vector Hermitian transpose | |
real part and imaginary part of complex numbers | Re(x) and Im(x) |
Modulo operation (including negative value) r ≡ a mod N |