The table below is compatible with the notation used in the lectures and exercises of BIE-ZMA.
| Symbol | Meaning |
|---|---|
| \(=\) | symbol of equality |
| \(:=\) | equality by definition, the expression on the left is defined on the right |
| \(a \leq b\) | \(a\) is less than or equal to \(b\) |
| \(a \geq b\) | \(a\) is greater than or equal to \(b\) |
| \(a < b\) | \(a\) is less than \(b\) |
| \(a > b\) | \(a\) is greater than \(b\) |
| \(\N = \{1,2,\ldots\}\) | set of natural numbers |
| \(\N_0 = \{0,1,2,\ldots\}\) | set of natural number plus \(0\) |
| \(\Z\) | set of integer numbers |
| \(\Q\) | set of rational numbers |
| \(\R\) | set of real numbers |
| \(\CC\) | set of complex numbers |
| \(\Re z\) | real part of the complex number \(z\) |
| \(\Im z\) | imaginary part of the complex number \(z\) |
| \((a,b)\) | open interval, or an ordered pair or point in a plane |
| \([ a,b ]\) | closed interval |
| \(A \subset B\) | \(A\) is a subset of \(B\), it admits \(A = B\) |
| \(A \cup B\) | union of the sets \(A\) and \(B\) |
| \(A \cap B\) | intersection of the sets \(A\) and \(B\) |
| \(A \smallsetminus B\) | set difference |
| \(A \times B\) | Cartesian product of the sets \(A\) and \(B\) |
| \(|A|\) | number of elements of the set \(A\) |
| \(x \in A\) | \(x\) is an element of the set \(A\) |
| \(x \notin A\) | \(x\) is not an element of the set \(A\) |
| \(\wedge\) | conjunction |
| \(\vee\) | disjunction |
| \(\Rightarrow\) | implication |
| \(\Leftrightarrow\) | equivalence |
| \(\forall\) | universal quantifier |
| \(\exists\) | existential quantifier |
| \(D_f\) nebo \(D(f)\) | domain of a function \(f\) |
| \(H_f\) nebo \(H(f)\) | image set of a function \(f\) |
| \(\ee\) | Euler’s number |
| \(\pi\) | Ludolph’s number |
| \(\ii\) | imaginary unit |
| \(\sin\) | function sine |
| \(\cos\) | function cosine |
| \(\tg\) | function tangent |
| \(\ctg\) | function cotangent |
| \(\arcsin\) | function arcsine |
| \(\arccos\) | function arccosine |
| \(\arctg\) | function arctangent |
| \(\log_a\) | logarithm of base \(a\), \(0 < a \neq 1\) |
| \(\ln\) | natural logarithm, i.e. \(\log_\ee\) |
| \(\log\) | decimal logarithm, i.e. \(\log_{10}\) |
| \(\lfloor x \rfloor\) | lower integer part of the real number \(x\) |
| \(\lceil x \rceil\) | upper integer part of the real number \(x\) |
| \(|x|\) | absolute value of the number \(x\) |
| \(n!\) | factorial of the number \(n\) |
| \(\binom{n}{k}\) | binomial coefficient |
The following table lists frequently used Greek letters with their name.
| Greek letter | Upper case | Name | LaTeX |
|---|---|---|---|
| \(\alpha\) | alpha | alpha | |
| \(\beta\) | beta | beta | |
| \(\gamma\) | \(\Gamma\) | gamma | gamma |
| \(\delta\) | \(\Delta\) | delta | delta |
| \(\epsilon\) | epsilon | epsilon | |
| \(\zeta\) | zeta | zeta | |
| \(\eta\) | eta | eta | |
| \(\theta\) | \(\Theta\) | theta | theta |
| \(\kappa\) | kappa | kappa | |
| \(\lambda\) | \(\Lambda\) | lambda | lambda |
| \(\mu\) | mu | mu | |
| \(\nu\) | nu | nu | |
| \(\xi\) | \(\Xi\) | xi | xi |
| \(\pi\) | \(\Pi\) | pi | pi |
| \(\rho\) | rho | rho | |
| \(\sigma\) | \(\Sigma\) | sigma | sigma |
| \(\tau\) | tau | tau | |
| \(\varphi\) | \(\Phi\) | phi | varphi |
| \(\chi\) | chi | chi | |
| \(\psi\) | \(\Psi\) | psi | psi |
| \(\omega\) | \(\Omega\) | omega | omega |