16.2: Chapter 3
- Page ID
- 117498
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\(\newcommand{\avec}{\mathbf a}\) \(\newcommand{\bvec}{\mathbf b}\) \(\newcommand{\cvec}{\mathbf c}\) \(\newcommand{\dvec}{\mathbf d}\) \(\newcommand{\dtil}{\widetilde{\mathbf d}}\) \(\newcommand{\evec}{\mathbf e}\) \(\newcommand{\fvec}{\mathbf f}\) \(\newcommand{\nvec}{\mathbf n}\) \(\newcommand{\pvec}{\mathbf p}\) \(\newcommand{\qvec}{\mathbf q}\) \(\newcommand{\svec}{\mathbf s}\) \(\newcommand{\tvec}{\mathbf t}\) \(\newcommand{\uvec}{\mathbf u}\) \(\newcommand{\vvec}{\mathbf v}\) \(\newcommand{\wvec}{\mathbf w}\) \(\newcommand{\xvec}{\mathbf x}\) \(\newcommand{\yvec}{\mathbf y}\) \(\newcommand{\zvec}{\mathbf z}\) \(\newcommand{\rvec}{\mathbf r}\) \(\newcommand{\mvec}{\mathbf m}\) \(\newcommand{\zerovec}{\mathbf 0}\) \(\newcommand{\onevec}{\mathbf 1}\) \(\newcommand{\real}{\mathbb R}\) \(\newcommand{\twovec}[2]{\left[\begin{array}{r}#1 \\ #2 \end{array}\right]}\) \(\newcommand{\ctwovec}[2]{\left[\begin{array}{c}#1 \\ #2 \end{array}\right]}\) \(\newcommand{\threevec}[3]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \end{array}\right]}\) \(\newcommand{\cthreevec}[3]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \end{array}\right]}\) \(\newcommand{\fourvec}[4]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \\ #4 \end{array}\right]}\) \(\newcommand{\cfourvec}[4]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \\ #4 \end{array}\right]}\) \(\newcommand{\fivevec}[5]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \\ #4 \\ #5 \\ \end{array}\right]}\) \(\newcommand{\cfivevec}[5]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \\ #4 \\ #5 \\ \end{array}\right]}\) \(\newcommand{\mattwo}[4]{\left[\begin{array}{rr}#1 \amp #2 \\ #3 \amp #4 \\ \end{array}\right]}\) \(\newcommand{\laspan}[1]{\text{Span}\{#1\}}\) \(\newcommand{\bcal}{\cal B}\) \(\newcommand{\ccal}{\cal C}\) \(\newcommand{\scal}{\cal S}\) \(\newcommand{\wcal}{\cal W}\) \(\newcommand{\ecal}{\cal E}\) \(\newcommand{\coords}[2]{\left\{#1\right\}_{#2}}\) \(\newcommand{\gray}[1]{\color{gray}{#1}}\) \(\newcommand{\lgray}[1]{\color{lightgray}{#1}}\) \(\newcommand{\rank}{\operatorname{rank}}\) \(\newcommand{\row}{\text{Row}}\) \(\newcommand{\col}{\text{Col}}\) \(\renewcommand{\row}{\text{Row}}\) \(\newcommand{\nul}{\text{Nul}}\) \(\newcommand{\var}{\text{Var}}\) \(\newcommand{\corr}{\text{corr}}\) \(\newcommand{\len}[1]{\left|#1\right|}\) \(\newcommand{\bbar}{\overline{\bvec}}\) \(\newcommand{\bhat}{\widehat{\bvec}}\) \(\newcommand{\bperp}{\bvec^\perp}\) \(\newcommand{\xhat}{\widehat{\xvec}}\) \(\newcommand{\vhat}{\widehat{\vvec}}\) \(\newcommand{\uhat}{\widehat{\uvec}}\) \(\newcommand{\what}{\widehat{\wvec}}\) \(\newcommand{\Sighat}{\widehat{\Sigma}}\) \(\newcommand{\lt}{<}\) \(\newcommand{\gt}{>}\) \(\newcommand{\amp}{&}\) \(\definecolor{fillinmathshade}{gray}{0.9}\)3.1 Strings revisited
- a. Since index values start at 0, the index 1 refers to the second character of the string.
- b. The character at index 1 is
y, and the character at index -1 is!. - c. The result of
s[0]is"P", which is a string of length 1. - b. Code points 65 to 90 are used for uppercase letters.
- b. The code point for the character "0" is 48.
- b. Tilde (~) is the character for code point 126. The
chr()function returns a string of length one. - c. An escape sequence is two characters long and begins with a backslash (\).
- c. The first backslash indicates an escape sequence, and the second backslash indicates the character.
- c. The escape sequence
\nproduces a new line.print("Enter\nhere")produces the same result.
3.2 Formatted strings
- b. The same variable,
says, is used in three replacement fields. - a. The string is not an f-string, so the brace characters (around temp and food) are printed literally.
- c. Using an f-string allows the entire output to be specified without commas and extra quote marks.
- a. The format specifier
02dappends a 0 to the front of the integer when the integer is only one digit. - c. The format specifier
".2f"(with a period) means fixed-point, rounded to two decimal places. - b. This format specifier is useful for displaying large amounts of money.
3.3 Variables revisited
- b. Each line of the program in the animation is an assignment statement.
- c. The program assigns the int object
10and the float object9.7, as shown in the memory diagram. - a. An arrow shows which object a variable currently refers to.
- a. An object's identity is an integer representing the memory location.
- c. The type function returns an object's class name like int, float, or str.
- b. A variable refers to an object, so the variable's value is the object's value.
3.4 List basics
- b. A list of numbers can be set up using an assignment operator.
- a. Individual elements in a list must be separated by a comma. Python does not understand what is meant by
2 3. - c. Since indexes start at 0, the required number is one less than the position being accessed.
- a. The index -1 always refers to the last element of a list. The expression
len(name_list)-1, which evaluates to3and refers to the last element in a list of 4 elements, can also be used in place of -1 here.
3.5 Tuple basics
- a. The first element,
2, is at index 0. - c. Tuples can have elements of the same type as well as elements of different types.
- a. A tuple must be created using commas. Parentheses are optional but recommended. The three elements are
"a","b", and"c". - b.
my_tupleis initially assigned with the tuple(0.693, 0.414, 3.142). Thenmy_tupleis assigned with the new tuple,(0.693, 1.414, 3.142), to correct a mistake with the second element. - a. Tuples are immutable. No changes, including appending, can be made after the tuple is created.
- b. Tuples are immutable, so attempted changes produce errors. Using a tuple would protect the constants from accidental changes.


