Facts about 1 (one)

If you read my post about Zero then you probably can estimate what i am saying today.

So today i am writing about one. All these facts are known by uss all , still i am writing it to just combine them together.

First of all One is a very important number in this world, for mass generation and for mathematicians. Here are some facts.

  • One is the first real positive number in the number line.
  • One is the only number to have the characteristics of prime number but it is not a prime number (May be some day will make a blog post about this.)
  • One is the only number which symbolizes unity.
  • One is the only number which multiplied by any number gives that number.
  • One is the only number which when raised to any power gives same output and that is one (1)
  • One is the only number which when added to any number outputs the next real number in number line (and of course if we substract we will get previous number)
  • If any number is raised to power of 0 the output is same in all the case. The output is again 1.

২ ও ৩

  • ২ এমন এক সংখ্যা যা নিজের সাথে গুন করলে যে ফলাফল আসে নিজের সাথে যোগ করলেও তাই আসে।
  • ২ সরবনিম্ন প্রাইম সংখ্যা এবং একমাত্র জোড় প্রাইম সংখ্যা।
  • আধুনিক কম্পিউটারের সকল হিসেব নিকেশ হয় ২ ভিত্তিক সংখ্যা বা বাইনারি সংখ্যা দিয়ে।
  • প্রাচীন গ্রিক আমলে ২-কে মহিলা সংখ্যা ভাবা হতো !!!!!

  • ৩ সংখ্যাটি প্রকৃতির জন্য একটু গুরুত্বপূর্ণ সংখ্যা , কারন আমাদের পরচিত বাস্তব জগত ত্রি-মাত্রিক।
  • যেকোনো সংখ্যার অঙ্কগুলো যোগ করে যোগফলকে যদি ৩ দিয়ে ভাগ করা যায় তাহলে সংখ্যাটি ৩ দিয়ে বিভাজ্য।
  • প্রাচীন গ্রিক আমলে ৩-কে পুরুষ সংখ্যা ভাবা হতো !!!!!

Facts about Zero (0)

Zero (0) is most probably the most mysterious number. The ancient mathematicians were far ahead in Maths but they did not realized about Zero (0). The thought that number how low is it there must have a number. There is no number, how it comes?

The feeling of Zero (0) first came from our subcontinent (Indian subcontinent) and it was a great feel in the field of mathematics. And so we can be proud of our mathematicians.

If any number is multiplied by Zero (0) then the answer is Zero (0). But what if we divide any number by Zero (0)? Is it infinity or undefined?

If you think it is infinity then you are wrong. The answer is undefined. Are you getting confused or thinking that I am wrong, then wait I will prove it to you.

Mathematics if broken when you attempt to divide by zero. Consider the limit of 2/x as x approaches zero.
2/2 = 1
2/1 = 2
2/.5 = 4
2/.1 = 20
2/.01 = 200
2/.0001 = 2000

Now imagine 2/.0000000000000000000000…01. It would be infinitely large. So you might think 2/0 is infinity…

but now approach it from below:
2/(-1) = -2
2/(-.01) = -200
etc.

So you might be temped to think it is negative infinity.

Since it cannot be both negative infinity and positive infinity, it is undefined.

Still not satisfied or need more clarification, then wait.

We all know

Ax0=0

And if

A/0=

Then

x0 should be equal to A

But we know x0=0

So any thing divided by Zero (0) is undefined.

If we look at everyday life example then it will be clearer to us. Think of you need to divide 100 taka to Zero (0) man, then how much will one get? The answer is undefined. Same is in the case of maths.

Now let’s think another fact. What is 0(zero to the power zero). Some mathematicians say it is 1 and some say it is 0. Here nothing is need to be said.

Geometric Progression

Geometrical progressions give rise to numbers which can be extremely large. One of the large numbers arising from geometric progressions is the number of grains of corn that can be placed on a chessboard.

According to legend, a man named Sessa invented the game of chess and presented it to the king. The king was so pleased that he promised to reward Sessa with whatever he asked for. Sessa asked for a grain of corn for first of 64 squares of his chessboard, 2 grains for second, 4 for third, 8 for fourth and so on, doubling the number of grains in each square up to last.

The king agreed to Sessa’s request without hesitation. Sessa showed the king that he could never grant his request no matter how rich the king was.

 

The number of grains of corn worked out to be very large, 264-1(2 to the power 64 minus 1) which is equal to 18 446 744 073 709 551 615 I repeat 18 446 744 073 709 551 615. It will take several centuries for the world to produce this much grain of corn.

 

 

I am also giving the proof

The arrangement forms a geometric progression with Starting number 1 and common ratio 2. And according to Sessa total number of term is 64. So sum of all 64 terms is –

Thanks all ^SHP(Shahadat Hussain Parvez)

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