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Section1Notation

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