Retranslate the complete English edition from Simplified Chinese (#2010)

* Retranslate the complete English edition from Simplified Chinese

* Polish three English explanations after reader-focused review
This commit is contained in:
Yudong Jin
2026-10-31 03:35:51 +08:00
committed by GitHub
parent ef46e2ed95
commit 14c314c08c
1502 changed files with 29459 additions and 23517 deletions

View File

@@ -11,12 +11,12 @@ import java.util.Stack;
public class recursion {
/* Recursion */
static int recur(int n) {
// Termination condition
// Base case
if (n == 1)
return 1;
// Recurse: recursive call
// Recurse: make a recursive call
int res = recur(n - 1);
// Return: return result
// Unwind: return the result
return n + res;
}
@@ -25,14 +25,14 @@ public class recursion {
// Use an explicit stack to simulate the system call stack
Stack<Integer> stack = new Stack<>();
int res = 0;
// Recurse: recursive call
// Recurse: make a recursive call
for (int i = n; i > 0; i--) {
// Simulate "recurse" with "push"
// Simulate recursive calls by pushing onto the stack
stack.push(i);
}
// Return: return result
// Unwind: return the result
while (!stack.isEmpty()) {
// Simulate "return" with "pop"
// Simulate unwinding by popping from the stack
res += stack.pop();
}
// res = 1+2+3+...+n
@@ -41,39 +41,39 @@ public class recursion {
/* Tail recursion */
static int tailRecur(int n, int res) {
// Termination condition
// Base case
if (n == 0)
return res;
// Tail recursive call
// Tail-recursive call
return tailRecur(n - 1, res + n);
}
/* Fibonacci sequence: recursion */
static int fib(int n) {
// Termination condition f(1) = 0, f(2) = 1
// Base cases: f(1) = 0, f(2) = 1
if (n == 1 || n == 2)
return n - 1;
// Recursive call f(n) = f(n-1) + f(n-2)
// Recursive calls: f(n) = f(n-1) + f(n-2)
int res = fib(n - 1) + fib(n - 2);
// Return result f(n)
// Return the result f(n)
return res;
}
/* Driver Code */
/* Driver code */
public static void main(String[] args) {
int n = 5;
int res;
res = recur(n);
System.out.println("\nRecursive function sum result res = " + res);
System.out.println("\nSum from recursion: res = " + res);
res = forLoopRecur(n);
System.out.println("\nUsing iteration to simulate recursive sum result res = " + res);
System.out.println("\nSum from simulating recursion with iteration: res = " + res);
res = tailRecur(n, 0);
System.out.println("\nTail recursive function sum result res = " + res);
System.out.println("\nSum from tail recursion: res = " + res);
res = fib(n);
System.out.println("\nThe " + n + "th term of the Fibonacci sequence is " + res);
System.out.println("\nFibonacci term " + n + " is " + res);
}
}