Skip to main content

ALL WHO LIVED IN THE YEAR 1200 ARE YOUR FOREFATHERS!

      

      You have two parents, four grandparents, eight great-grandparents and so on. - doubling each time. 

 Duration of one generation is 25 years.  The number of ancestors of your age you have at any point in the past is 2^y/25, with y being number of years ago.  For example, 100 years ago (2^100/25 = 2^4 = 16) Your sixteen grandparents would have been your age. 
     750 years ago, you would have more than a billion ancestors of your age.  But there is an error.  The world population was said to be only 300 million in 11th century.  Where the calculation went wrong.  Some of the ancestors might have married their cousins.  That means, their children would have had only six grandparents rather than eight. 

 
    NUMBER OF ANCESTORS 

A- Generation number 

B- Number of years before your birth 

C- Number of ancestors in that generation 

D- Total ancestors 

 

A                     B                     C            D 

1.                    -25                    2            2 
2.                    -50                    4            6 
3.                    -75                   8            14 
4.                    -100                 16          30 
5.                    -125                 32          62 
6.                     -150                 64         126 
7.                    -175                 128        254 
8.                     -200                256        510 
9.                     -225                 512        1022 
10.                  -250                  1024      2046 
.. 
assuming no marriage among cousins. 

    Hence, 1000 years before, or 40 generations before you, you would have a trillion, 199 billion, 23 million, 255 thousand, 550 ancestors born in the previous 40 generations.  That is why, we said, "all those who lived in 1200 s would have been your ancestors". 
    We can also say, 'you and a random stranger anywhere on the planet are likely to share an ancestor from 1600s. 

 
FACTS ON WORLD POPULATION 
1. Population today - 08-05-2020, 7783050750 
2. Growth rate as of today 1.05% 
3. Expected population in 2050, 9.7 billion or 10 billion. 
4. The population was one billion in 1804. 
5. The number of people ever lived in this planet-earth is said to be in the range 90 to 110 billion. 
6. 151600 die every day. 

7. 360000 born every day  
8. Average life expectancy is 67 years. 
    We separate ourselves with class, color, creed, race, language etc.  When we zoom into the past, everything mingles into one.  We are the birds of same feather; we must flock together. 
As one poet said, 
"every place is my home 
  each one is my brother".                  

Comments

Popular posts from this blog

LISSAJOUS FIGURES

  Definition:  "When a particle is subjected to two sine wave motion or two oscillatory motion at right angles, the particle describes lissajous figures".      We know sine wave motion and circular motion is basically same.  Hence we draw two circles A and B perpendicular to each other.  The circle B rotates twice faster than circle A.  That is, frequency of circle B is two times than that of A.        A particle at the intersection of two circles is subjected to two sine wave motion   A and B at 90 degree simultaneously.  The particle will describe figures depending on the frequency and phase of A and B .  In our case, the ratio of frequency is  1:2 and the two waves are in phase.        To draw lissajous figures :  A moving point in both the circles are chosen.   Here we should remember; during the time taken by the circle A to complete one rotation, circle B completes two.  Hence the points are marked on the circles according to their speed.  Then straight lines

THE PARABOLA

          A jet of water shooting from a hose pipe will follow a parabolic path.  What is the so special about parabola.    Y= x^2 Draw a graph for the above equation.  It will result in a parabola.  This parabola is also called unit parabola.  Any equation involving square will yield a parabola. Example:  Y = 2x^2 +3x+3 (also called quadratic equation)    X= 2 and -2, both  satisfies the equation 4 = X^2.  Parabolic equations always have two solutions.     Any motion taking place freely under gravity follows parabolic path. Examples:   An object dropped from a moving train,   A bomb dropped from flying plane,  A ball kicked upwards.      If a beam of light rays fall on the parabolic shaped mirror, they will be reflected and brought to focus on a point.  This fact is made use of in Dish Antenna, Telescope mirrors, etc.      Inverted parabola shape is used in the construction of buildings and bridges.  Because the shape is able to bear more weight.      A plane

CASINO'S GAME

           Let us find out how the casino survives with mathematics.      Say, your friend invite you for a game of dice.  You must bet (wager) 2 dollars.  If you roll 'six' you will get back 8 dollars.  The game will go on for 30 rounds.  All sounds good.      The probability of rolling 'six' is 1/6.  Since the game will be played for 30 times, the 'expected win' is 30*1/6 = 5.  That is, you are expected to win 5 rounds out of 30.  Hence your gain will be 5 * 8 =40 dollars.  ok.  This also implies that you will loose 25 rounds.  Hence your loss will be 25*2 =50 dollars.  Your net gain will be gain-less = 40-50 = -10 dollars. For 30 rounds, the loss is -10 dollars, Hence, for one round =-10/30 = -1/3 dollars.  There will be a loss of -1/3 or 0.33 dollars per round.  It is not a fair game.     Let us make a simple formula to calculate  'Pay out per round\. The probability for a win = p The pay-out in case of win = V No. of rounds = n The expect