Tuesday, January 15, 2008

Sachin's Centuries in lost causes


When many people say how many of Sachin's hundreds have come for a winning cause,Here is analysis of each of those centuries he scored when INDIA lost and reason why it went in vain.
Out of the 41 hundreds, 11 hundreds have gone in vain.

1. 137 off 137 (Strike rate 100) balls Vs SriLanka at Delhi in 1996 World Cup.
India scored 271/3 in 50 overs. The only other 50 score was from Azhar. SL made 272 in 48.4 overs. Manoj Prabhakar had 4-0-47-0. He also opened in the innings and scored 7 of 36 balls.

2. 100 of 111 Balls Vs Pak in Singapore- Apr 96.
India 226 all out in 47.1 overs, When Sachin was out score was 186/4 (We cant blame because next 3 are match fixtures) . Pak had a reduced target of 187 from 33 overs.

3. 110 of 138 Balls (Slower but...) vs Sri Lanka In Colombo - Aug 96.
Again India 226 for 5 in 50 overs, Only other 50 score from Azhar (58 of 99 balls !!!) .Sachin has also bowled 6-0-29-1 , the second most economical bowler and the only wicket taker (SL were 230/1 in 44.2 ) of the match next to Srinath. 7 bowlers were used by Azhar.

4. 143 of 131 Balls (!!!) Vs Aus at Sharjah, Apr 1998.
This was chasing under lights. The qualifying match before the final. The whole world knows about this match. Still one interesting point, when Sachin was out India were 242 at 5 at 43 overs. Target was 276 in 46. Still India finished at 250/5 scoring just 8 of the next 3 overs. Great performance by Laxman and Kanithkar indeed.

5. 101 of 140 Balls against SL at Sharjah in Oct 2000.
Indian score was 224/8 in 50 overs. (No other 50 score). SL got 225/5 in 43.5; Sachin also bowled 5-0-22-0, better economy rate than everyone except Srinath.

6. 146 of 153 Balls against Zimbabwe at Jodhpur - December 2000 (Game of Dougla Mariliar) India made 283 / 8 in 50 overs. Sachin was the last man to be dismissed, score was 235/8 at 46.3 overs when he was out. Agarkar and Zaheer Khan propelled India to 283 in the last 3.3 overs. When Sachin has scored 146 of 235 in 46.3 overs, you can guess what the other 8 great batsmen were doing against the World class Zimbabwe attack. Second Highest scorer was Zaheer Khan with 32.
Zim got 284/9 in 49.5 overs. Kumble bowled the last over. Sachin also got 6-0-35-1

7. 101 of 129 Balls Vs SA at Johannesburg - Oct 2001
India got 279/5 in 50, Ganguly made 127 of 126 balls. When Ganguly got out, the score was 193-1 in 35.2 overs. Sachin was the last man to get out at 263. SA got 280 in 48.4 overs. Sachin bowled 9-0-51-0, second best in economy rate next only to Agarkar (10-0-45-1)

8. 141 of 135 balls Vs Pak at Rawalpindi, March 2004
India was chasing 329 and was 317 all out in 48.4 overs, 8 balls to spare. No other batsman made even a 50 (when chasing 300 ) and when Sachin was out, India were 245-4 in 38.4 overs. They needed 85 from 68 balls with 6 wickets in hand.

9. 123 of 130 Balls vs Pak at Ahmedabad, April 2005.
India made 315/6 in 48 overs (48 over match), again no other 50 score. Second highest was Dhoni 47 of 64 balls, (third highest was extras - 39). Pak made 319 in 48 overs. The three quicks (Balaji, Nehra and Khan went for 188 runs from 26 overs between them taking only 2 wickets). Sachin bowled 6-0-36-1. No Harbhajan and no Kumble.

10. 100 of 113 Balls Vs Pak at Peshawar, Feb-2006.
India were 328 all out in 49.4 overs. Pathan and Dhoni got 60 each. When Sachin was out when India were 305-5 in 45 overs. Managed only 23 in the last 5 overs.Pak scored 311/7 in 47 overs and won by D/L method. Could have been anybody's game. Sachin did not bowl.

11. 141* of 148 balls vs WI at Malaysia.
India made 309 /5 in 50 overs. Sachin was not out. Pathan was the only other 50 scorer. WI made 141/2 in 20 overs and won by D/L method. Again could have been anybody's game.



In the other 31 instances India has won 30 times and once there was no result.

Now for those people who say Sachin can't win matches.The truth is that India played a long time with 1 PLAYER and 10 JOKERS.

Tuesday, January 8, 2008

Speed calculation:division

Now,I would discuss division techniques.

Division by numbers 1,2,3,4,5,6 are very easy and I wont take much time for it.
Lets start......

Division by 1:same answer
Division by 2:do it dumbo!!Its very easy....

so and so till 5

Division by 6:
Just see this
1/6=0166 [16*1=16]
2/6=0.333 [ 16*2=32]
3/6=0.5 [16*3=48]
4/6=0.667 [16*4=64]
5/6=0.833 [16*5=80]

So,you can see its nearly the table of 16 on the decimal side,but the margin of error is quite high...

Division by 7:

Here it is table of 14
1/7=0.142 [14/1=14]
2/7=0.285 [14*2=28]
3/7=0.428 [14*3=42]
4/7=0.571 [14*4=56]
5/7=0.714 [14*5=70]
6/7=0.857 [14*6=84]

Here the margin of error is quite small and its quite easy to remember

Division by 11:

Here it is table of 9
1/11=0.09 [9*1=9]
2/11=0.18 [9*2=18]
3/11=0.27 [9*3=27]
4/11=0.36 [9*4=36]
5/11=0.45 [9*5=45]
6/11=0.54 [9*6=54]
7/11=0.63 [9*7=63]
8/11=0.72 [9*8=72]
9/11=0.81 [9*9=81]
10/11=.90 [9*10=90]

This method can be applied to other numbers also..

Now come the fun part....

For the every number we get another number's table.If that number is used for the division then we will get the first number's table.Lets clear it with an example:

For division by 11 we use 9's table;Similarly for division by 9 we can use the 11's table!!!!

Now for quick reference the pairs are given,one can be used for the division by the other.
4 - 25
2 - 5
6 - 16
7 - 14
8 - 12
9 - 11

Now,have fun.......calculation is basically very easy,you just have to know what to apply and where.

Saturday, January 5, 2008

Return of vedic maths

The return of Vedic maths is evident but there is this question of where exactly it returned from. Though the computational system is widely believed or perceived to be from ancient Vedic scriptures, there is no visible evidence to support that claim.

In the 1960s, Tirthaji Maharaj, who was the Shankaracharya of Puri at that time, said that he had found some verses in the Atharvaveda that led to astonishing methods of calculations.

It was he who wrote the first compilation that came to be called Vedic mathematics. Not everybody believes that the seer, who himself had a strong background in maths, had indeed found an old treasure. The material that the holy man claimed was part of the Vedas was a set of 16 cryptic Sanskrit verses that could mean anything.

For example, one of the "formulae" is Ekadhikena Purvena. When translated, it simply means, "By one more than the previous one".

But Tirtha Maharaj interpreted it in various ways and formed entertaining methods of easy multiplication. The entire Sanskrit text of what is called Vedic maths is not more than fifty words.

"It is a mystery how people do not notice such simple things," says SG Dani, a professor at the Tata Institute of Fundamental Research who believes that the whole saleable system of Vedic Maths is in reality just a set of interpretations of one man.

Dani once said in a public letter signed by several noted academics, that Vedic Maths is, "neither Vedic nor maths".

But whatever be its origins, nobody denies that the Shankaracharya is saving boys and girls a lot of time in their CAT practice tests. They may not escape the endless cycle of rebirths but may escape the cycle of retests.

Multiplication made easy:multiply with 7

Multiplication by 7: Going from right to left, we use this rule: Double each number and add half the neighbor (digit to the right, dropping any fraction); add 5 if the number (not the neighbor) is odd. And of course, we have to deal with carries:
3852 x 7 = 26964

Starting at the right (2), we double the first number (it has no neighbor) and write down the right-most digit of that (4) and we have no carry. Then we double the next number (2x5=10), add five (+5=15), and add half the neighbor (+1=16), and write down the right digit (6) of that and carry the 1. Then we double the next number (2x8=16), and add half the neighbor (+2=1, and add the carry (+1=19). Then we double the next number (2x3=6), add five (+5=11), add half the neighbor (+4=15), and add the carry (+1=16). Now we double a zero off to the left of our 3852 (theoretically the zero should be out there: 03852) and addhalf the neighbor (0+1=1), and add the carry (+1=2).And we have our answer.

Notice that the carries are smaller than they were innormal multiplication by 7. The above rule is not simple, but once mastered, it is easy to use. It should be about as fast as multiplying normally (which requires memorizing the multiplication table).

Multiplication by other small numbers (3 through 12) uses similar rules.

Multiplication made easy:multiply with 7

Multiplication by 7: Going from right to left, we use this rule: Double each number and add half the neighbor (digit to the right, dropping any fraction); add 5 if the number (not the neighbor) is odd. And of course, we have to deal with carries:
3852 x 7 = 26964
Starting at the right (2), we double the first number (it has no neighbor) and write down the right-most digit of that (4) and we have no carry. Then we double the next number (2x5=10), add five (+5=15), and add half the neighbor (+1=16), and write down the right digit (6) of that and carry the 1. Then we double the next number (2x8=16), and add half the neighbor (+2=1, and add the carry (+1=19). Then we double the next number (2x3=6), add five (+5=11), add half the neighbor (+4=15), and add the carry (+1=16). Now we double a zero off to the left of our 3852
(Trachtenberg wrote the zero out there: 03852) and add
half the neighbor (0+1=1), and add the carry (+1=2).
And we have our answer.
Notice that the carries are smaller than they were in
normal multiplication by 7. The above rule is not
simple, but once mastered, it is easy to use. It
should be about as fast as multiplying normally (which
requires memorizing the multiplication table).
Multiplication by other small numbers (3 through 12)
uses similar rules.