Symbol |
Description |
Location |

\(\lim_{n \to \infty} x_n = L\) |
sequence \(x_n\) has limit \(L\) |
Definition 3.3.4 |

\(\lim x_n = L\) |
sequence \(x_n\) has limit \(L\) |
Definition 3.3.4 |

\(x_n \to L\) |
sequence \(x_n\) has limit \(L\) |
Definition 3.3.4 |

\(\int f(x)\, dx\) |
indefinite integral or family of antiderivatives |
Definition 6.6.5 |

\(\big[ F(x) \big]_a^b\) |
evaluation of change in \(F(x)\) as \(x\) goes from \(a\) to \(b\) |
Paragraph |

\(b \propto a\) |
\(b\) is proportional to \(a\) |
Definition 7.1.1 |

\(abcd \sim ABCD\) |
The polygon \(abcd\) is similar to the polygon \(ABCD\) |
Example 7.1.5 |

\(y=mx+b\) |
Equation of a line with slope \(m\) passing through the \(y\)-axis at \((x,y)=(0,b)\). |
Subsection 7.2.1 |

\(y=y_1+m(x-x_1)\) |
Equation of a line with slope \(m\) passing through a point \((x,y)=(x_1,y_1)\). |
Subsection 7.2.1 |

\(\mathbb{N}\) |
the set of natural numbers |
Paragraph |

\(\mathbb{Z}\) |
the set of integers |
Paragraph |

\(\div a\) |
multiplicative inverse of \(a\) |
Paragraph |

\(\mathbb{R}\) |
the set of real numbers |
Paragraph |

\(\mathbb{C}\) |
the set of complex numbers |
Paragraph |

\(a \in A\) |
\(a\) is in the set \(A\) |
Paragraph |

\(a \not \in A\) |
\(a\) is not in the set \(A\) |
Paragraph |

\( A \cup B \) |
union of sets \(A\) and \(B\) |
Paragraph |

\( A \cap B\) |
intersection of sets \(A\) and \(B\) |
Paragraph |

\((a,b)\) |
open interval with endpoints \(a \lt b\) |
Paragraph |

\([a,b]\) |
closed interval with endpoints \(a \lt b\) |
Paragraph |

\((a,b]\) |
semi-open (semi-closed) interval with endpoints \(a \lt b\) |
Paragraph |

\(Ax+By=C\) |
general equation of a line |
Definition A.2.1 |

\(y=k\) |
equation of a horizontal line |
Definition A.2.2 |

\(x=h\) |
equation of a vertical line |
Definition A.2.3 |

\(\displaystyle \frac{\Delta y}{\Delta x}=\frac{y_2-y_1}{x_2-x_1}\) |
slope of line joining \((x_1,y_1)\) and \((x_2,y_2)\) |
Definition A.2.4 |

\(y=m(x-h)+k\) |
point–slope equation of a line |
Definition A.2.5 |

\(y=mx+b\) |
slope–intercept equation of a line |
Definition A.2.6 |

\(y=m(x-a)\) |
slope and \(x\)-intercept equation of a line |
Definition A.2.8 |

\(f(x)=ax^2+bx+c\) |
general quadratic polynomial |
Definition A.2.9 |

\(y=a(x-h)^2+k\) |
quadratic polynomial in vertex form |
Paragraph |

\(y=A \cdot b^x\) |
general exponential function |
Definition A.2.25 |

\(\exp_b(x)=b^x\) |
elementary exponential function with base \(b\) |
Definition A.2.27 |