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 |