Reformat Section

Author: HumphreyYang

lectures/functions.md

@@ -171,6 +171,46 @@ print(new_abs_function(3))
 print(new_abs_function(-3))
 ```
 
+
+### One-Line Functions: `lambda`
+
+```{index} single: Python; lambda functions
+```
+
+The `lambda` keyword is used to create simple functions on one line.
+
+For example, the definitions
+
+```{code-cell} python3
+def f(x):
+    return x**3
+```
+
+and
+
+```{code-cell} python3
+f = lambda x: x**3
+```
+
+are entirely equivalent.
+
+To see why `lambda` is useful, suppose that we want to calculate $\int_0^2 x^3 dx$ (and have forgotten our high-school calculus).
+
+The SciPy library has a function called `quad` that will do this calculation for us.
+
+The syntax of the `quad` function is `quad(f, a, b)` where `f` is a function and `a` and `b` are numbers.
+
+To create the function $f(x) = x^3$ we can use `lambda` as follows
+
+```{code-cell} python3
+from scipy.integrate import quad
+
+quad(lambda x: x**3, 0, 2)
+```
+
+Here the function created by `lambda` is said to be *anonymous* because it was never given a name.
+
+
 ### Why Write Functions?
 
 User-defined functions are important for improving the clarity of your code by
@@ -311,45 +351,6 @@ In the context of our program, the ability to bind new names to functions
 means that there is no problem *passing a function as an argument to another
 function*---as we did above.
 
-### One-Line Functions: `lambda`
-
-```{index} single: Python; lambda functions
-```
-
-The `lambda` keyword is used to create simple functions on one line.
-
-For example, the definitions
-
-```{code-cell} python3
-def f(x):
-    return x**3
-```
-
-and
-
-```{code-cell} python3
-f = lambda x: x**3
-```
-
-are entirely equivalent.
-
-To see why `lambda` is useful, suppose that we want to calculate $\int_0^2 x^3 dx$ (and have forgotten our high-school calculus).
-
-The SciPy library has a function called `quad` that will do this calculation for us.
-
-The syntax of the `quad` function is `quad(f, a, b)` where `f` is a function and `a` and `b` are numbers.
-
-To create the function $f(x) = x^3$ we can use `lambda` as follows
-
-```{code-cell} python3
-from scipy.integrate import quad
-
-quad(lambda x: x**3, 0, 2)
-```
-
-Here the function created by `lambda` is said to be *anonymous* because it was never given a name.
-
-
 ## Exercises
 
 ```{exercise}