Can this be done without "package" and what is it exactly?

Question

package Palindrome;
import java.io.*;
public class Palindrome
BufferedReader reader = new BufferedReader
          (new InputStreamReader(System.in));
private String Sparkle;
     private int length;
public String buffPal(String userInput)
length = userInput.length();
StringBuffer mann = new StringBuffer(length);
for(int i = (length - 1); i >= 0; i--)
mann.append(userInput.charAt(i));
Sparkle = mann.toString();
if (Sparkle.equalsIgnoreCase(userInput))
return userInput + " is a Palindrome";
return userInput + " isn't a Palindrome";
package Palindrome;
import java.applet.*;
import java.awt.*;
import java.awt.event.*;
public class PalindromeApplet extends Applet implements ActionListener
private TextField InputField = new TextField(20);
private TextField AnswerField = new TextField(26);
private Label prompt = new Label ("Input to test for Palindrom:");
private Button button = new Button("Test");
     private Label res = new Label ("Result...");
     private Palindrome test = new Palindrome();
public void init()
add(prompt);
add(InputField);
          add(button);
add(res);
add(AnswerField);
button.addActionListener(this);
setSize(225, 160);
public void actionPerformed(ActionEvent e)
String userInput = InputField.getText();
String result = "null";
if(e.getSource() == button)
result = test.buffPal(userInput);
AnswerField.setText(result);

Answer 1

You can place your classes in the unnamed package by omitting the package declaration, but that's still a package.
A package is a namespace for types (classes & interfaces). Namespaces keep names from colliding. So you could have Palindrome.Palindrome and org.rhythmshocker.Palindrome in the same program and be able to reference each uniquely.