Quote of the Day (PART-2) - Mathematics

// PART 1 - Click here //

Day 16

"Somehow it's okay for people to chuckle about not being good at math. Yet, if I said "I never learned to read, they'd say I was an illiterate dolt"

   - Neil deGrasse Tyson , American Astrophysicst and author

Day 17

"In Mathematics the art of proposing a question must be held of higher value than solving it"

   - George Cantor, German Mathematician

Day 18

"It's Clear that the chief end of mathematical study must be to make the student think"

    John Wesley Young , American Mathematician

Day 19

"Go down deep enough into anything and you will find mathematics"

    - Dean Schhicter

Day 20

"Nature is written in mathematical language"

    - Galileo Galilee , Italian astronomer , physicist and engineer

Day 21

"Mathematics is a language"

    - Josiah Willard Gibbs , American Scientists

Day 22

"Mathematics has beauty and romance, it's not a boring place to be , the mathematical world; it's worth spending time there"

  -Marcus du sautoy , British Mathematician.

Day 23

"To me , Mathematics , Computer science and the arts are insanely related. They're all creative expression"

    - Sebastian thrun , German Innovator , Computer Scientist and entrepreneur educator

Day 24

" The essence of mathematics lies in its freedom"

    - George Cantor

Day 25

" Why do children dreed mathematics?

Because of the wrong approach.because it looked at as a subject"

    - Shakuntala Devi, Indian Writer and mental calculator

Day 26

" The Study of Mathematics, like the Nile, begins in minuteness but ends in magnificence"

   - Charles Caleb Colton , writer

Day 27

" Wherever there is number, there is beauty"

    - Proclus , Greek philosopher

Day 28

"Life is a math equation, In order to gain the most , you have to know how to conver negative into positives "

   - Anonymous

Day 29

"Mathematics may not teach us to add love or subtract hate , but it gives us hope that every problem has a solution"

    - Anonymous

Day 30

"Pure Mathematician , like the musician, is a free creator of his world of ordered beauty"

   - Betrand Russel , British Philosopher

Day 31

" Without mathematics , there is nothing you can do.

Everything around you is Mathematics.

Everything around you is Numbers."

    - Shakuntala Devi

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Quote of the Day (PART-1) - Mathematics

// PART 2 - Click here //

Day 1

"The Only Way to learn mathematics is to do mathematics"

   - Paul R.Halmos , Hungarian - American Mathematician

Day 2

" You don't have to be a mathematician to have a feel for numbers"

   -John Forbes Nash, Jr., American Mathematician

Day 3

"Mathematics is the music of reasons"

   - Jamesh Joseph Sylvester , English Mathematician

Day 4 

" Mathematics knows no races or geographic boundaries: for mathematics, the cultural world is one country"

   - David Hilbert , German Mathematician

Day 5

"There should be no such thing as boring mathematics"

   - Edsger W.Dijkstra , Dutch System Scientist

Day 6

"Mathematics allows for no hypocrisy and no vagueness"

    - Stendhal ( pen name of Maric-Henri Beyle) , French Writter.

Day 7

" I've always enjoyed mathematics. It is the most precise and concise way of expressing an idea"

    - N.R.Narayana Murthy, Indian IT industrialist.

Day 8

"It is impossible to be a mathematician without being a poet in soul."

    - Sofia Kovalevskaya , Russian Mathematician.

Day 9

"A mathematician who is not also something of a poet will never be a complete mathematician"

    - Karl Weierstrass , German Mathematician.

Day 10

" Mathematics is the most beautiful and most powerful creation of the human spirit "

    - Stefan Banach, Polish Mathematician.

Day 11

" As far as the laws of mathematics refer to reality, they are not certain, and as far as they are certain,they do not refer to reality."

    - Albert Einstein

Day 12

"What is mathematics? It is only a systematic effort of solving puzzles posed by nature"

    - Shakuntala Devi , Human Calculator.

Day 13

" Mathematics Compares the most diverse phenomena and discovers the secret analogies that unite them"

    - Joseph Fourier, French Mathematician and Physicist.

Day 14

"Mathematics is not about Numbers, Equations, Computations or algorithms: It is about Understanding"

    - William Paul Thurston, American Mathematician.

Day 15

"Pure Mathematics is, in its way, the poetry of logical ideas." 

    - Albert Einstein, German Theoretical Physicist.

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வாழ்க்கை வாழ்வதற்கே

அனைவருக்கும் வணக்கம் ,

வாழ்க்கை வாழ்வதற்கே...

உண்மைதான் வாழ்க்கையில் என்ன ஆனாலும் நாம் வாழ்ந்துதான் ஆகவேண்டும். அதனை முறித்துக் கொள்ளும் உரிமை நமக்கு இயற்கையில் கிடையாது , அது மிகவும் கோழைத்தனமானதும் தவறானதும் கூட, ஒவ்வொரு நாளும் ஒவ்வொரு விடியலும் ஏதாவது ஒரு புதிய மாற்றத்தை ஏற்படுத்தாதா என்ற ஒரு நோக்கத்துடனேயே ஒவ்வொருவரின் நாட்களும் தொடங்குகின்றன அவ்வாறே அந்த நாட்கள் முடியும் என்பதில் சந்தேகமே...

இருப்பினும் நாம் அந்த நாளை வாழ்ந்துதான் ஆகவேண்டும் அடுத்த ஒரு விடியலுக்காக காத்து தான் இருக்க வேண்டும் இவ்வாறு ஒவ்வொருவரின் வாழ்விலும் ஒவ்வொரு நாளும் ஒரு புதிய மாற்றத்தையும் ஏமாற்றத்தையும் மாறி மாறி தந்து கொண்டுதான் இருக்கிறது இவ்வாறாக உங்கள் வாழ்க்கையில் ஏற்படும் அன்றைய நிகழ்வுகளை அப்போது ரசித்துவிட்டு அந்த நொடிப்பொழுதில் இன்பமாக இருக்க பழகுங்கள் அப்பொழுதுதான் உங்கள் வாழ்க்கை மிகவும் இனிமையாகவும் மகிழ்ச்சியாகவும் இருக்கும் செல்வம் தேவைதான் ஆனால் அது மட்டுமே நிலையான போதுமான ஒன்று கிடையாது...

நீங்கள் இதைப் படித்துக் கொண்டிருக்கும் இந்த நாளை மகிழ்ச்சியுடன் கொண்டாடுங்கள் இப்படிக்கு ,

அன்புடன்

சதீஷ்குமார்,

Sathiskumar Education.

Math or Maths

If you ever got into contact with the word "mathematics", you have certainly also seen at least one of the nouns from the pair "math" and "maths". But which one is correct? How do you spell it shortly, "math" or "maths"? Let's take a quick look upon this linguistic confusion to make sure you get it right.

Math vs. Maths

Both "math" and "maths" are abbreviations for the word "mathematics", the complex science that studies numbers and shapes. We can't claim that any of these abbreviated forms is right or wrong, because they are just shorter versions for the full noun ("mathematics"). Whether you prefer adding the last "s" or not is a matter of personal choice and culture, according to how you've been educated in school and how you have seen it spelled more frequently.

There are, anyway, some statistics that show how often "math" and "maths" are used. It turns out that, just as it happens for other pairs of words that differ through only one letter, the frequency of use regarding the different abbreviations differs from British to Americans. Here's how:

Is “math” or “maths” the correct word to use as the shortened or colloquial form of the word mathematics? The answer is that it depends on where you are.

To North American speakers of English, the word to use is “math”, as in “I majored in math”, and “maths” would sound wrong. Speakers of British English, however, would always say “maths”, as in “I took a degree in maths”. They would never say “math”.

There are logical arguments for both spellings. The word “mathematics” can be considered as a singular and as a plural noun. Both the Oxford and the Merriam-Webster dictionaries say the word is plural – hence the s on the end – but also that it is usually used as if it was a singular noun. So, most people would say “mathematics is my best subject” and not “mathematics are my best subject”. The shortened form “maths”, then, makes sense because the word is still a plural noun and so should still have the “s” on the end. On the other hand, it could be argued, “math” makes sense because it seems wrong to remove the letters “ematic” from the middle of the word and leave the final “s”.

When do we use "maths"?

"Maths" is the abbreviation preferred by the British. In the UK, they say that "mathematics" ends in "s" and so should its short form. It's more likely that if you ask a British person, they would tell you they prefer "maths" as they have seen it spelled like this all the time.

When do we use "math"?

"Math" is preferred by the Americans, not only because they usually go for the shorter forms, but also because they consider "mathematics" is a mass noun that takes singular verbs and should, therefore, be abbreviated without the "s" in the end.

Conclusion

"Math" and "maths" are not complete words on their own and. As abbreviations, they can't be considered wrong or right. Choosing a form will be partially influenced by your personal choice and logic, and partially by the region where you've learned to spell it. British use "maths" more often and Americans prefer "math", but this does not define any rule for correct spelling.

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*Used for education purpose

Content source : 

various websites and wikipedia ..

Collected and organised :

Sathiskumar Education

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Types of set

Types of set

There are many types of set in the set theory:

1. Singleton set
If a set contains only one element it is called to be a singleton set.
Hence the set given by {1}, {0}, {a} are all consisting of only one element and therefore are singleton sets.
2. Finite Set
A set consisting of a natural number of objects, i.e. in which number element is finite is said to be a finite set. Consider the sets
A = { 5, 7, 9, 11} and B = { 4 , 8 , 16, 32, 64, 128}
Obviously, A, B contain a finite number of elements, i.e. 4 objects in A and 6 in B. Thus they are finite sets.
3. Infinite set
If the number of elements in a set is finite, the set is said to be an infinite set.
Thus the set of all natural number is given by N = { 1, 2, 3, ...} is an infinite set. Similarly the set of all rational number between ) and 1 given by
A = {x:x E Q, 0 <x<1} is an infinite set.
4. Equal set
Two set A and B consisting of the same elements are said to be equal sets. In other words, if an element of the set A sets the set A and B are called equal i.e. A = B.
5. Null set/ empty set
A null set or an empty set is a valid set with no member.
A = { } / phie cardinality of A is 0.
There is two popular representation either empty curly braces { } or a special symbol phie. This A is a set which has null set inside it.
6. Subset
A subset A is said to be subset of B if every elements which belongs to A also belongs to B.

    A = { 1, 2, 3}
    B = { 1, 2, 3, 4}
    A subset of B.

7. Proper set
A set is said to be a proper subset of B if A is a subset of B, A is not equal to B or A is a subset of B but B contains at least one element which does not belong to A.
8. Improper set
Set A is called an improper subset of B if and Only if A = B. Every set is an improper subset of itself.
9. Power set
Power set of a set is defined as a set of every possible subset. If the cardinality of A is n than Cardinality of power set is 2^n as every element has two options either to belong to a subset or not.
10. Universal set
Any set which is a superset of all the sets under consideration is said to be universal set and is either denoted by omega or S or U.

    Let  A = {1, 2, 3}
    C = { 0, 1} then we can take
    S = {0, 1, 2, 3, 4, 5, 6, 7, 8}

கண்ணம்மா என் காதலி

பாயுமொளி நீ எனக்கு
பார்க்கும் விழி நான் உனக்கு 
தோயும் மது நீ எனக்கு
தும்பியடி நான் உனக்கு 
வாயுரைக்க வருகுவதில்லை
வாழிநின்றன் மேன்மை எல்லாம்
தூய சுடர் வானொலியே சூரையமுதே கண்ணம்மா...

வீணையடி நீ எனக்கு
மேவும் விறல் நானுனக்கு 
பூணும் வடம் நீ எனக்கு
புது வைரம் நான் உனக்கு
காணுமிடந்தோறும் நின்றான் கண்ணினொளி வீசுதடி 
மானுடைய பேரரசே வாழ்வு நிலையே கண்ணம்மா...

வான மழை நீ எனக்கு
வண்ண மயில் நான் உனக்கு
பானமடி நீ எனக்கு
பாண்டமடி நான் உனக்கு
ஞான ஒளி வீசுதடி
நங்கை நின்றன் ஜோதிமுகம்
ஊனமறு நல்லழகே ஊரு சுவையே கண்ணம்மா....

வெண்ணிலவு நீ எனக்கு
மேவு கடல் நான் உனக்கு
பண்ணுசுதி நீ எனக்கு
பாட்டினிமை நான் உனக்கு
எண்ணி எண்ணி பார்த்திடிலோர் எண்ணமில்லை நின்சுவைக்கே
கண்ணின் மணி போன்றவளே கட்டியமுதே கண்ணம்மா....

வீசுகமழ் நீ எனக்கு
விரியுமலர் நான் உனக்கு
பேசுபொருள் நீ எனக்கு
பேணுமொழி நான் உனக்கு
நேசமுள்ள வான்சுடரே
நின்னழகாய் எத்துறைப்பேன் 
ஆசை மதுவே கனியே அல்லு சுவையே கண்ணம்மா....

காதலடி நீ எனக்கு
காந்தமடி நான் உனக்கு
வேதமடி நீ எனக்கு
விந்தையடி நான் உனக்கு
போதமுற்ற போதினிலே
பொங்கிவரும் தீஞ்சுவையே நாதவடிவானவளே நல்ல உயிரே  கண்ணம்மா....

நல்லவுயிர் நீ எனக்கு
நாடியடி நான் உனக்கு
செல்வமடி நீ எனக்கு
சேமநிதி நான் உனக்கு
எல்லையற்ற பேரழகே
எங்கும் நிறை பொற்சுடரே
முல்லை நிகர் புன்னகையை
மோதுமின்பமே கண்ணம்மா...

தாரையாடி நீ  எனக்கு
தண்மதியம் நான் உனக்கு
வீரமடி நீ எனக்கு
வெற்றியடி நான் உனக்கு
தரணியில்  வானுலகத்தில் சார்ந்திருக்கும் இன்பமெல்லாம்
ஓருருவமாய் சமைந்தாய் உள்ளமுதே கண்ணம்மா....!!!

-மகாகவி பாரதியார்...

Srinivasa Ramanujam - Indian mathematician from Erode,Tamilnadu

Srinivasa Iyengar Ramanujan    tamil: ஸ்ரீநிவாச இராமானுஜன்

Introduction:

   welcome to all, in this session we will remember the great mathematician srinivasa ramanujan,

he is a mathematics genius.   

naturally genius are born not created by others, he is also born with Knowledge and God's Grace

Born :  

          22 december 1887
     
          erode , madras presidency  ( now Tamilnadu , India )

Died:
      
        26 april 1920 ( at the age of 32 )
    
        Kumbakonam, Madras presidency  ( now Tamilnadu , India )

Nationality:
     
                 Indian

Fields:

            Mathematics

Other Institution studied:

         1. Govt.arts college ( no degree)
          2. Pachaiyappa's College (no degree)
            3. Trinity college , Cambridge (B.sc., -1916)

Academic advisors:

     1. G.H. HARDY

     2.  J.E. LITTLEWOOD

Notable awards:


    FRS - Fellow of Royal Society

Hardy–Ramanujan number 1729

The number 1729 is known as the Hardy–Ramanujan number after a famous visit by Hardy to see Ramanujan at a hospital. In Hardy's words:

I remember once going to see him when he was ill at putney. I had ridden in taxi cab number 1729 and remarked that the number seemed to me rather a dull one, and that I hoped it was not an unfavorable omen. "No", he replied, "it is a very interesting number; it is the smallest number expressible as the sum of two cubes in two different ways."

Immediately before this anecdote, Hardy quoted Littlewood as saying, "Every positive integer was one of [Ramanujan's] personal friends."
The two different ways are

1729 = 1³ + 12³ = 9³ + 10³.

Conclusion:

In 2011, on the 125th anniversary of his birth, the Indian Government declared that 22 December will be celebrated every year as National Mathematics Day. Then Indian Prime Minister ManmohanSingh also declared that the year 2012 would be celebrated as the National Mathematics Year.




Thank you for Reading

by
S.Sathiskumar B.Sc.,B.Ed.,



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