پادکست شماره 51
درباره درس

پادکست شماره 51

Podcast No 51

OK, before we continue, does anybody have a question? Oh, lots of questions, I see. OK, we'll go one at a time. Yes?

OK, before we continue, does anybody have a question? Oh, lots of questions, I see. OK, we'll go one at a time. Yes?

Thank you. You talked about Fibonacci numbers in the lecture. Sorry, I don't understand. Can you explain?

Thank you. You talked about Fibonacci numbers in the lecture. Sorry, I don't understand. Can you explain?

Of course. What do you want to know?

Of course. What do you want to know?

OK … I hope this isn't a silly question, but what does Fibonacci actually mean?

OK … I hope this isn't a silly question, but what does Fibonacci actually mean?

No question is ever silly – it's always good to ask. OK, it's the name of a person. Fibonacci was a European mathematician in the Middle Ages.

No question is ever silly – it's always good to ask. OK, it's the name of a person. Fibonacci was a European mathematician in the Middle Ages.

Ah, OK. Thanks. So, we know he was a person, but what are the Fibonacci numbers? I don't get it.

Ah, OK. Thanks. So, we know he was a person, but what are the Fibonacci numbers? I don't get it.

The Fibonacci numbers are a sequence of numbers. They go 1, 1, 2, 3, 5, 8 and so on. Do you see the sequence? Do you see how it works?

The Fibonacci numbers are a sequence of numbers. They go 1, 1, 2, 3, 5, 8 and so on. Do you see the sequence? Do you see how it works?

I'm not sure.

I'm not sure.

OK. This is how it works. The first number is 1, then 1 again, then 2. The third number is the first number plus the second number. The fourth number is the second number plus the third number: 1 plus 2 is 3. The fifth number is the third number, 2, plus the fourth number, 3. So the fifth number in a Fibonacci sequence is 5.

OK. This is how it works. The first number is 1, then 1 again, then 2. The third number is the first number plus the second number. The fourth number is the second number plus the third number: 1 plus 2 is 3. The fifth number is the third number, 2, plus the fourth number, 3. So the fifth number in a Fibonacci sequence is 5.

Ah! I think I understand now. But what about their importance? You said these were very important.

Ah! I think I understand now. But what about their importance? You said these were very important.

Yes, let me explain. This sequence of numbers is important because we see it in many things. Fibonacci numbers are common in geometry, they are common in nature, for example in plants. We see the sequence everywhere.

Yes, let me explain. This sequence of numbers is important because we see it in many things. Fibonacci numbers are common in geometry, they are common in nature, for example in plants. We see the sequence everywhere.

Could you give us some more examples?

Could you give us some more examples?

OK ... well, we don't have time right now but I can bring more examples in for next class, OK?

OK ... well, we don't have time right now but I can bring more examples in for next class, OK?

لغات و اصطلاحات

Does anybody have a question?

کسی سوالی داره؟

lots of questions

کلی سوال

We’ll go one at a time.

دونه دونه بررسیشون می کنیم.

lecture

سخنرانی، ارائه

Can you explain?

می تونی توضیح بدی؟

What do you want to know?

چی می خواهی بدونی؟

a silly question

یه سوال مسخره/احمقانه

What do you actually mean?

دقیقا منظورت چیه؟

mathematician

ریاضی دان

in the Middle Ages

در دوران قرون وسطی

I don't get it.

من که نمی فهمم.

a sequence of numbers

ترتیب اعداد، توالی اعداد

and so on

و غیره

Do you see how it works?

می بینی چطور کار می کنه؟

I'm not sure.

مطمئن نیستم.

This is how it works.

اینجوری کار می کنه.

The first number

عدد اول

the second number

عدد دوم

I think I understand now.

فکر کنم الان فهمیدم.

importance

اهمیت

Let me explain.

اجازه بده توضیح بدم.

geometry

هندسه

They are common in nature.

اینها تو طبیعت متداول هست.

plants

گیاهان

We don't have time right now.

در حال حاضر وقت نداریم.

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