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If the introduction is formal, say "Hello, I'm [first name][last name]."  If it's informal, say "Hi, I'm [first name].  Immediately after you've stated your name, ask for the other person's name by saying "What’s your name?" in a pleasant tone. When you learn the other person's name, repeat it by saying "It's a pleasure to meet you, Pedro" or "Nice to meet you, Caroline." Repeating the person’s name will help you remember it, and give the introduction a more personal touch. or other culturally appropriate greeting. Most cultures have a form of physical contact to accompany a greeting. In the United States, it is often a handshake. Be sure to keep the handshake brief and not too loose (floppy) or firm (bone-breaking).  Be aware of cultural differences. For instance, it is considered rude to firmly shake hands in China. It is often  appropriate to greet with a hug, especially if you’re meeting a friend of a friend or an in-law. Hugs show more openness than a handshake. Women more often than men may prefer a hug to a handshake. In many cultures, it is culturally appropriate to greet with a kiss. In South America, for instance, all women are greeted with one kiss, and in France, women are greeted with one kiss on each cheek.  If you are unsure of the appropriate greeting, follow the other person’s lead or watch how other people greet around you. It’s important to show interest in the other person. Ask where she is from, what she does for a living, or ask about any common bonds you may have. Ask about what she loves to do and the passions she has in life. Show that you are engaged and interested in what she has to say.  You may tell a little bit of your background in order to engage  conversation and share about yourself. Telling someone where you work or that you love rock climbing  is appropriate and may lead to more conversation  topics. Don’t take the opportunity to talk only about yourself. You will come across as selfish or uninteresting . After you've met someone for the first time, you should end the conversation by restating that you enjoyed meeting.  If the interaction was formal, say something like "Mrs. Castro, I'm delighted to have met you.  I hope we can talk again soon."  If your conversation was informal, you can say "It was great meeting you, Harold. Hope to see you around."
Exchange names. Offer a handshake Ask questions. Close the conversation.