Love at first sight

I believe love at first sight when i first saw my mother....

Saturday, February 25, 2012

தமிழ் கவிதை -அம்மா

படித்ததில் பிடித்தது:
  • என்னை சுவாசிக்க வைத்தவளுக்கு நான்
    வாசித்த முதல் கவிதை
    அம்மா
    -sathya

  • நீ பார்க்கும் போது சொல்ல நினைக்கிறன் ...!
    நீ பேசும் போது சொல்ல நினைக்கிறன் ...!
    நீ என்னை முத்தம் இடும் போது சொல்ல நினைக்கிறன் ...!
    ஆனால் என்னால் சொல்ல முடியவில்லை . கடவுளே ..!
    எனக்கு சீக்கிரம் பேசும் சக்தியை கொடு அவளை
    "அம்மா" என்றழைக்க .
    இரண்டு வயது குழந்தையின் தவிப்பு
    -babu

Sunday, February 19, 2012

vivekananda quotes

swami vivekananda quotes:
  • In a day when you don't come across any problems then you are travelling in a wrong path.
  • Freedom can never be reached by the weak.
    Throw away all weakness.
    Tell your body that it is strong, tell your mind that it is strong, and have unbounded faith and hope in yourself.
  • Take the responsibility on your own shoulders,
    Know that you are the creater of your own destiny.
  • We are what our thought has made us.
    so take care about what you think.
    Words are secondary.
    Thoughts live;They travel far!
  • Like me or hate me,both are in my favour.
    If you like me i am in your Heart.
    If you hate me i am in your mind.

Tuesday, February 14, 2012

தமிழ் கவிதை

நான் சமீபத்தில் படித்து ரசித்த கவிதை தொகுப்பு...


மழை

முன்னமே சிநேகம்தான்
என்றாலும் நேற்று
நீ நனைந்தபின்
இன்னும் சிநேகமாகிப்போனது
மழை!
-பிரியன்


ஒற்றுமை

பகலை
கொள்ளையடிக்கும்
இரவிடமும்....

இரவில்
வெள்ளையடிக்கும்
பகலிடமும்....

ஒற்றை
ஒற்றை
துளியாய் வீழ்ந்து
பள்ளத்தை
நிரப்பும் மழையிடமும்....

ஓடி.... ஓடி.....
வந்து
மரத்தை வளைக்கும்
காற்றிடமும்......

கூடி...... கூடி.....
வந்து
கரையை உடைக்கும்
அலையிடமும்

சேர்ந்து
சேர்ந்து
கருப்பு வானவில்லாய்
சிறகு விரிக்கும்
சிட்டுகளிடமும்....

ஒன்று ஒன்றாய்
வந்து
வானில்
அழகை ஜனிக்கும்
நட்சத்திரங்களிடமும்...

கற்றுக்கொள்...
கற்றுக்கொள்....
ஒற்றுமையை....
ஒற்றுமையை...
-திருக்குவளை அறிவழகன்

Wednesday, February 8, 2012

divisibility rule for 12

Rule:
A number is divisible by 12,if it is divisible by both 4 and 3.
Example 1:
Is 34644 divisible by 12?
Solution:
The last two digits in the number 34644 is 44.So by the divisibility rule for 4 the number 34644 is divisible by 4.
The sum of digits in 34644 is 21 which is divisible by 3.So by the divisibility rule for 3 the number 34644 is divisible by 3.
According to the rule given above,the number 34644 is divisible by 12.
Example 2:
Is 782345 divisible by 12?
Solution:
The last two digits in the number 782345 is 45. So by the divisibility rule for 4 the number 782345 is not divisible by 4.
The sum of the digits in 782345 is 29 which is not divisible by 3. So by the divisibility rule for 3 the number 782345 is not divisible by 3.
As per the rule given above,the number 7823465is not divisible by 12.

divisibility rule for 11

Rule:
A number is divisible by 11,if the difference of the sum of its digits at odd places and sum of its digits at the even places, is either 0 or a number divisible by 11 .
Example 1:
Is 567897 divisible by 11?
Solution:
The sum of the digits at odd places in the number 567897 is 5+7+9=21->I.
The sum of the digits at even places in the number 567897 is 6+8+7=21->II.
Difference of I and II is 21-21=0.
According to the rule given above,the number 567897 is divisible by 11.
Example 2:
Is 782346 divisible by 11?
Solution:
The sum of the digits at odd places in the number 782346 is 7+2+4=13->I.
The sum of the digits at even places in the number 782346 is 8+3+6=17->II.
Difference of I and II is 17-13=4.
According to the rule given above,the number 782346 is not divisible by 11.

divisibility rule for 10

Rule:
A number is divisible by 10,if its unit digit is 0.
Example1:
Is 567890 divisible by 10?
Solution:
The unit digit in the number 567890 is 0.
According to the rule given above,the number 567890 is divisible by 10.
Example2:
Is 782346 divisible by 10?
Solution:
The unit digit in the number 782346 is 6.
As per the rule given above,the number 782346 is not divisible by 10.

divisibility rule for 9

Rule:
A number is divisible by 9,if the sum of its digits is divisible by 9.
Example 1:
Is 567891 divisible by 9?
Solution:
The sum of digits in the number 567891 is 36.
36 is divisible by 9 since 36/9=4.
According to the rule given above,the number 567891is divisible by 9.
Example 2:
Is 782342 divisible by 9?
Solution:
The sum of digits in the number 782342 is 26.
26 is not divisible by 9 since 26/9 leaves 8 as remainder.
As per the rule given above,the number 782342 is not divisible by 9.

Tuesday, February 7, 2012

divisibility rule for 8

Rule:
A number is divisible by 8,if the last three digits of the number is divisible by 8.
Example 1:
Is 567816 divisible by 8?
Solution:
The last three digits in the number 567816 is 816.
816 is divisible by 8 since 816/8=102.
According to the rule given above,the number 567816 is divisible by 8.
Example 2:
Is 782343 divisible by 8?
Solution:
The last three digits in the number 782343 is 343.
343 is not divisible by 8 since 343/8 leaves 7 as remainder.
As per the rule given above,the number 782343 is not divisible by 8.

Monday, February 6, 2012

divisibility rule for 6

Rule:
A number is divisible by 6,if it is divisible by both 2 and 3.
Example1:
Is 567894 divisible by 6?
Solution:
The unit digit in the number 567894 is 4.So by the divisibility rule for 2,the number 567894 is divisible by 2.
The sum of digits in 567894 is 39 which is divisible by 3.So by the divisibility rule for 3,the number 567894 is divisible by 3.
According to the rule given above,the number 567894 is divisible by 6.
Example2:
Is 782345 divisible by 6?
Solution:
The unit digit in the number 782345 is 5. So by the divisibility rule for 2,the number 782345 is not divisible by 2.
The sum of the digits in 782345 is 29 which is not divisible by 3. So by the divisibility rule for 3,the number 782345 is not divisible by 3.
As per the rule given above,the number 7823465 is not divisible by 6.

Sunday, February 5, 2012

divisibility rule for 5

Rule:
A number is divisible by 5,if its unit digit is either 0 or 5.
Example 1:
Is 567895 divisible by 5?
Solution:
The unit digit in the number 567895 is 5.
According to the rule given above,the number 567895 is divisible by 5.
Example 2:
Is 782346 divisible by 5?
Solution:
The unit digit in the number 782346 is 6.
As per the rule given above,the number 782346 is not divisible by 5.

Saturday, February 4, 2012

divisibility rule for 4

Rule:
A number is divisible by 4,if the last two digits of the number is divisible by 4.
Example 1:
Is 567884 divisible by 4?
Solution:
The last two digits in the number 567884 is 84.
84 is divisible by 4 since 84/4=21.
According to the rule given above,the number 567884 is divisible by 4.
Example 2:
Is 782343 divisible by 4?
Solution:
The last two digits in the number 782343 is 43.
43 is not divisible by 4 since 43/4 leaves 3 as remainder.
As per the rule given above,the number 782343 is not divisible by 4.

divisibility rule for 3

Rule:
A number is divisible by 3,if the sum of its digits is divisible by 3.
Example 1:
Is 567894 divisible by 3?
Solution:
The sum of digits in the number 567894 is 39.
39 is divisible by 3 since 39/3=13.
According to the rule given above,the number 567894 is divisible by 3.
Example 2:
Is 782342 divisible by 3?
Solution:
The sum of digits in the number 782342 is 26.
26 is not divisible by 3 since 26/3 leaves 2 as remainder.
As per the rule given above,the number 782342 is not divisible by 3.

divisibility rule for 2

Rule:
A number is divisible by 2,if its unit’s digit is any of the digits 0,2,4,6,8.
Example 1:
Is 567894 divisible by 2?
Solution:
The unit digit in the number 567894 is 4.
According to the rule given above,the number 567894 is divisible by 2.
Example 2:
Is 782343 divisible by 2?
Solution:
The unit digit in the number 782343 is 3.
As per the rule given above,the number 782343 is not divisible by 2

Numeral

Definition:
A group of digits,denoting a number is called numeral.
A digit represents a number using ten symbols 0,1,2,3,4,5,6,7,8,9.

A number is represented in the following manner.
Ten Crores108
Crores107
Ten Lakhs(Millions)106
Lakhs105
Ten Thousands104
Thousands103
Hundreds102
Tens101
Units100

Example:
The number 986745123 is represented as showm below
9Ten Crores108
8Crores107
6Ten Lakhs(Millions)106
7Lakhs105
4Ten Thousands104
5Thousands103
1Hundreds102
2Tens101
3Units100

The number 986745123 is read as Ninety-eight crores sixty-seven lakhs forty-five thousand one hundred and twenty-three

Thursday, February 2, 2012

Geometric Progression(GP)

Definition:
A progression of numbers in which every term bears a constant ratio with the preceeding term is called Geometric progression.
The constant ratio is called the common ratio of the GP
If the first term is a and common ratio is r then,
GP is a,ar,ar2,ar3,…..

Formula:
Tn = arn-1
Sn = (a(1-rn))/(1-r)

Where,
Tn is the nth term in the GP,
Sn is the sum of n terms in the GP,
a is the first term,
r is the common ratio of the GP,
n is the number of term in the GP.

Example1:
Find the 10 th term in the GP 2,4,8,16,….
Solution:
Step1:
Use the formula, Tn = arn-1
Step2:
In the given problem,
a=first term=2
r=common ratio=2
(to find common ratio take any two terms in the GP and find the quotient(4/2=2))
n=10
Step3:
Apply values of step 2 in step 1
T10=2 * 2 9
=1024
The 10 th term in the given GP is 1024
Example2:
Find the sum of 5 terms in the GP 2,4,8,16,….
Solution:
Step1:
Use the formula, Sn = (a(1-rn))/(1-r)
Step2:
In the given problem,
a=first term=2
r=common ratio=2
(to find common ratio take any two terms in the GP and find the quotient(4/2=2))
n=5
Step3:
Apply values of step 2 in step 1
S5=(2 * (1-25))/(1-2)
=62
The sum of 5 terms in the given GP is 62

Geometric progression(GP)

is explained in this article
For details regarding Arithmetic Progression click here

Arithmetic Progression

Definition:
A succession of numbers formed and arranged in a definite order according to certain definite rule is called progression.
If each term of a progression differs from the preceding term by a constant,then the progression is called arithmetic progression or AP.
The constant difference is called the common difference of the AP.
If first term is a and common difference is d then,
AP is a,(a+d), (a+2d), (a+3d),……

Formula:
Consider the AP a,(a+d), (a+2d), (a+3d),……
1.Tn = a+(n-1)d
2.Sn = (n/2)(2a+(n-1)d) or
Sn = (n/2)(first term + last term)


Where,
Tn is the nth term of the AP,
Sn is the sum of n terms in the AP,
a is the first term,
n is the number of term in the AP,
d is the common difference of the AP.

Example 1:
Find the 10 th term in the AP 2,6,10,14,……
Solution:
 Step 1:use the formula Tn = a+(n-1)d
 Step 2:In the given problem,
    a = first term = 2
    d= common difference = 4
  (to find d take any two terms in the AP and subtract it ( 6-2=4))
    n = 10
 Step 3:Apply the values in the formula.
   T10=2+(10-1)4
     =2+36
    =38
 Step 4:The 10 th term in the AP is 38

Example 2:
Find the sum of 5 terms in the AP 2,6,10,….
Solution:
 Step 1:use the formula sn = (n/2)(2a+(n-1)d)
 Step 2:In the given problem,
    a = first term = 2
    d= common difference = 4
  (to find d take any two terms in the AP and subtract it ( 6-2=4))
    n = 5
 Step 3:Apply the values in the formula.
    s10=(5/2)(2*2+(5-1)4)
    =2.5 * 20
    =50
 Step 4:The sum of 5 terms in the given AP is 50.