Fascinating Math Collection

Thought of the day

2010-04-26T12:05:00.002+05:30

Relations are like needles of a clock. In same clock we are mot able to meet each other. even if we meet, its only for few seconds. But we always stay connected.

THOUGHT OF THE DAY

2009-10-16T12:29:00.000+05:30

"Happiness will never come to those who fail to appreciate what they already have."

THOUGHT OF THE DAY

2009-10-16T12:27:00.003+05:30

"Happiness cannot be traveled to, owned, earned, worn or consumed. Happiness is the spiritual experience of living every minute with love, grace and gratitude."

THOUGHT OF THE DAY

2009-10-16T12:27:00.001+05:30

"Did you ever see an unhappy horse? Did you ever see bird that had the blues? One reason why birds and horses are not unhappy is because they are not trying to impress other birds and horses."

THOUGHT OF THE DAY

2009-10-16T12:26:00.001+05:30

"Life is to be fortified by many friendships. To love and to be loved is the greatest happiness of existence."

THOUGHT OF THE DAY

2009-10-16T12:25:00.000+05:30

"When one door of happiness closes, another opens; but often we look so long at the closed door that we do not see the one that has been opened for us."

THOUGHT OF THE DAY

2009-10-16T12:24:00.000+05:30

"It's pretty hard to tell what does bring happiness. Poverty and wealth have both failed."

THOUGHT OF THE DAY

2009-10-16T12:17:00.000+05:30

"Those who have easy, cheerful attitudes tend to be happier than those with less pleasant temperaments, regardless of money, 'making it', or success."

THOUGHT OF THE DAY

2009-10-16T12:16:00.000+05:30

"Thousands of candles can be lighted from a single candle, and the life of the candle will not be shortened. Happiness never decreases by being shared."

THOUGHT OF THE DAY

2009-10-16T12:14:00.001+05:30

"Happiness is the only good. The time to be happy is now. The place to be happy is here. The way to be happy is to make others so."

THOUGHT OF THE DAY

2009-10-16T12:13:00.000+05:30

"Happiness is a perfume you cannot pour on others without getting a few drops on yourself."

THOUGHT OF THE DAY

2009-10-16T12:11:00.000+05:30

"If you have nothing else to do, look about you and see if there isn't something close at hand that you can improve! It may make you wealthy, thought it is more likely that it will make you happy."

THOUGHT OF THE DAY

2009-10-16T12:06:00.001+05:30

"Three grand essentials to happiness in this life are something to do, something to love and something to hope for."

THOUGHT OF THE DAY

2009-10-16T12:05:00.000+05:30

"Destiny is not a matter of chance; it is a matter of choice. It is not a thing to be waited for; it is a thing to be achieved."

THOUGHT OF THE DAY

2009-10-16T12:04:00.000+05:30

"Your living is determined not so much by what life brings to you as by what you bring to life."

THOUGHT OF THE DAY

2009-10-16T12:03:00.000+05:30

"Live all you can; it's a mistake not to. It doesn't so much matter what you do in particular, so long as you have your life. If you haven't had that, what have you had?"

THOUGHT OF THE DAY

2009-10-16T12:02:00.000+05:30

"Life is partly what we make it, and partly what it is made by the friends we choose."

THOUGHT OF THE DAY

2009-10-16T12:01:00.001+05:30

"Life is either a daring adventure or nothing. Security is mostly a superstition. It does not exist in nature."

THOUGHT OF THE DAY

2009-10-16T12:00:00.000+05:30

"The art of life is to know how to enjoy a little and to endure very much."

THOUGHT OF THE DAY

2009-10-16T11:59:00.001+05:30

"Nor has he spent his life badly who has passed it in privacy. Be open to all."

THOUGHT OF THE DAY

2009-10-16T11:58:00.000+05:30

"Life is a succession of lessons which must be lived to be understood."

THOUGHT OF THE DAY

2009-10-16T11:56:00.001+05:30

"The consciousness of loving and being loved brings a warmth and richness to life that nothing else can bring."

THOUGHT OF THE DAY

2009-10-16T11:55:00.000+05:30

"That some achieve great success, is proof to all that others can achieve it as well."

THOUGHT OF THE DAY

2009-10-16T11:54:00.000+05:30

"People seldom see the halting and painful steps by which the most insignificant success is achieved."

THOUGHT OF THE DAY

2009-10-16T11:53:00.000+05:30

"The dictionary is the only place where success comes before work."

THOUGHT OF THE DAY

2009-10-16T11:50:00.001+05:30

"The first and most important step toward success is the feeling that we can succeed."

THOUGHT OF THE DAY

2009-10-16T11:49:00.000+05:30

"The first and most important step toward success is the feeling that we can succeed."

THOUGHT OF THE DAY

2009-10-16T11:47:00.001+05:30

"Success is getting what you want, and happiness is wanting what you get."

THOUGHT OF THE DAY

2009-10-16T11:44:00.000+05:30

"People rarely succeed unless they have fun in what they are doing."

THOUGHT OF THE DAY

2009-10-16T11:43:00.001+05:30

"Success is not the key to happiness. Happiness is the key to success. If you love what you are doing, you will be successful."

THOUGHT OF THE DAY

2009-10-16T11:42:00.000+05:30

"Perseverance is failing nineteen times and succeeding the twentieth."

THOUGHT OF THE DAY

2009-10-16T11:41:00.000+05:30

"We can do anything we want to do if we stick to it long enough."

THOUGHT OF THE DAY

2009-10-16T11:40:00.000+05:30

"If you want to get somewhere you have to know where you want to go and how to get there. Then never, never, never give up."

THOUGHT OF THE DAY

2009-10-16T11:39:00.000+05:30

"Most people give up just when they're about to achieve success. They quit on the one yard line. They give up at the last minute of the game, one foot from a winning touchdown."

THOUGHT OF THE DAY

2009-10-16T11:38:00.001+05:30

"Try not to do too many things at once. Know what you want, the number one thing today and tomorrow. Persevere and get it done."

THOUGHT OF THE DAY

2009-10-16T11:37:00.000+05:30

"The will to persevere is often the difference between failure and success."

THOUGHT OF THE DAY

2009-10-16T11:35:00.001+05:30

"The difference between perseverance and obstinacy is: that one often comes from a strong will, and the other from a strong won't."

THOUGHT OF THE DAY

2009-10-16T11:34:00.001+05:30

"You have to have confidence in your ability, and then be tough enough to follow through."

THOUGHT OF THE DAY

2009-10-16T11:33:00.000+05:30

"Ability is what you're capable of doing. Motivation determines what you do. Attitude determines how well you do it."

THOUGHT OF THE DAY

2009-10-16T11:32:00.000+05:30

"The world cares very little about what a man or woman knows; it is what a man or woman is able to do that counts."

THOUGHT OF THE DAY

2009-10-16T11:31:00.000+05:30

"Every person is responsible for all the good within the scope of his abilities, and for no more, and none can tell whose sphere is the largest."

THOUGHT OF THE DAY

2009-10-16T11:30:00.000+05:30

"An invincible determination can accomplish almost anything and in this lies the great distinction between great men and little men."

THOUGHT OF THE DAY

2009-10-16T11:28:00.000+05:30

"It was courage, faith, endurance and a dogged determination to surmount all obstacles that built this bridge."

THOUGHT OF THE DAY

2009-10-16T11:27:00.000+05:30

"There is no chance, no destiny, no fate, that can hinder or control the firm resolve of a determined soul."

THOUGHT OF THE DAY

2009-10-07T12:00:00.003+05:30

"What you get by achieving your goals is not as important as what you become by achieving your goals. "

THOUGHT OF THE DAY

2009-10-07T12:00:00.001+05:30

"One of the marks of excellent people is that they never compare themselves with others. They only compare themselves with themselves and with their past accomplishments and future potential."

THOUGHT OF THE DAY

2009-10-07T11:58:00.001+05:30

"Exert your talents, and distinguish yourself, and don’t think of retiring from the world, until the world will be sorry that you retire."

THOUGHT OF THE DAY

2009-10-07T11:55:00.002+05:30

"Change and growth take place when a person has risked himself and dares to become involved with experimenting with his own life."

THOUGHT OF THE DAY

2009-10-07T11:55:00.001+05:30

"You can´t have a perfect day without doing something for someone who will never be able to repay you."

THPOGHT OF THE DAY

2009-10-07T11:51:00.001+05:30

"Within each of us is a hidden store of determination. Determination to keep us in the race when all seems lost."

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2009-09-24T23:31:00.000+05:30

From my mobile

THOUGHT OF THE DAY - 015

2009-09-21T02:49:00.001+05:30

" Failure is a path to success;

so don't give up,

just move on with firm determination."

THOUGHT OF THE DAY - 014

2009-09-20T11:57:00.002+05:30

"A man can be as great as he wants to be.

If you believe in yourself and have the courage,

the determination, the dedication,

the competitive drive

and if you are willing to sacrifice the little things in life

and pay the price for the things that are worthwhile,

it can be done."

THOUGHT OF THE DAY - 013

2009-09-19T02:47:00.002+05:30

"What you do today is important

because I am exchanging a day of my life for it."

THOUGHT OF THE DAY

2009-09-18T13:16:00.001+05:30

"You don't concentrate on risks. You concentrate on results. No risk is too great to prevent the necessary job from getting done."

THOUGHT OF THE DAY

2009-09-18T13:15:00.000+05:30

"Don't waste life in doubts and fears; spend yourself on the work before you, well assured that the right performance of this hour’s duties will be the best preparation for the hours or ages that follow it."

THOUGHT OF THE DAY

2009-09-18T13:13:00.000+05:30

"Apply yourself. Get all the education you can, but then, by God, do something. Don't just stand there, make something happen."

THOUGHT OF THE DAY

2009-09-18T13:11:00.000+05:30

"Everything depends upon execution; having just a vision is no solution."

THOUGHT OF THE DAY

2009-09-18T13:09:00.000+05:30

"There are no great men, only great challenges that ordinary men are forced by circumstances to meet."

THOUGHT OF THE DAY

2009-09-18T13:08:00.000+05:30

"The price of success is hard work, dedication to the job at hand, and the determination that whether we win or lose, we have applied the best of ourselves to the task at hand."

THOUGHT OF THE DAY

2009-09-18T13:07:00.002+05:30

"Decision and determination are the engineer and fireman of our train to opportunity and success."

THOUGHT OF THE DAY - 012

2009-09-18T02:49:00.001+05:30

" Failure is a path to success;

so don't give up,

just move on with firm determination."

THOUGHT OF THE DAY

2009-09-17T10:57:00.000+05:30

"You've got to get up every morning with determination if you're going to go to bed with satisfaction."

THOUGHT OF THE DAY

2009-09-17T10:07:00.001+05:30

"A determined person will do more with a pen and paper, than a lazy person will accomplish with a personal computer."

THOUGHT OF THE DAY - 011

2009-09-17T02:50:00.001+05:30

" If you are hurt, whether in mind or body,

don't nurse your bruises;

get up and light heartedly, courageously,

get ready for the next encounter.

This is the only way to take life -

this is also 'playing' the game."

THOUGHT OF THE DAY - 010

2009-09-16T02:51:00.001+05:30

" A dream is only a dream

without courage and determination

to make it real!"

THOUGHT OF THE DAY - 009

2009-09-15T03:30:00.004+05:30

"Your task is not to seek for love,

but merely to seek

and find all the barriers

within yourself

that you have built against it."

THOUGHT OF THE DAY - 008

2009-09-14T02:58:00.003+05:30

"Only those who have the patience

to do simple things perfectly

will acquire the skill

to do difficult things easily."

THOUGHT OF THE DAY - 007

2009-09-13T04:31:00.005+05:30

"A life spent making mistakes is

not only more honorable,

but more useful

than a life spent doing nothing."

THOUGHT OF THE DAY - 006

2009-09-12T01:16:00.003+05:30

"Remember that you are needed.

There is at least one important work to be done

that will not be done

unless you do it."

THOUGHT OF THE DAY - 005

2009-09-11T04:22:00.003+05:30

"Nothing is predestined:

The obstacles of your past

can become the gateways

that lead to new beginnings."

THOUGHT OF THE DAY - 004

2009-09-10T04:20:00.002+05:30

"You cannot plough a field

by turning it over in your mind".

Great Thoughts - 10

2009-09-10T01:04:00.002+05:30

Ability is what you are capable of doing.

Motivation determines what you do.

Attitude determines how well you do it.

Great Thoughts - 9

2009-09-09T01:00:00.002+05:30

3 things to love - simplicity, honesty and beauty.

3 things to control - temper, tongue and temptation.

THOUGHT OF THE DAY - 003

2009-09-09T00:59:00.003+05:30

"Our greatest glory

consists not in never falling,

but in rising every time we fall."

THOUGHT OF THE DAY - 002

2009-09-08T12:57:00.002+05:30

"Dream is not what you see in sleep.

It is something that does not let you sleep."

Great Thoughts - 8

2009-09-08T00:58:00.004+05:30

We do not turn older

with every years

but newer everyday

THOUGHT OF THE DAY - 001

2009-09-07T10:16:00.003+05:30

"Nothing worthwhile was ever accomplished

without the will to start,

the enthusiasm to continue and

the persistance to complete".

Great Thoughts - 7

2009-09-07T00:56:00.003+05:30

Ninetynine percent of the failures

come from people

who have the habit of making excuses.

Great Thoughts - 6

2009-09-06T00:53:00.003+05:30

We can appreciate the miracle of sunrise

only if we have waited in the darkness.

Great Thoughts - 5

2009-09-05T00:51:00.002+05:30

Never take the advice of someone

who has not had your kind of trouble.

Great Thoughts - 4

2009-09-04T00:48:00.004+05:30

There is no benefit in the gifts of a bad man.

Great Thoughts - 3

2009-09-03T01:46:00.003+05:30

LIFE IS LIKE RIDING A BYCYCLE,

YOU DON'T FALL OFF

UNLESS YOU PLAN TO STOP PEDDLING.

Great Thoughts - 2

2009-09-02T21:57:00.003+05:30

THERE ARE

NO MISTAKES,

NO COINCIDENCES,

ALL EVENTS ARE

BLESSINGS GIVEN TO US TO LEARN FROM

Number Pattern - Again 8

2009-09-02T01:50:00.005+05:30

0 x 9 + 8 = 8

9 x 9 + 7 = 88

98 x 9 + 6 = 888

987 x 9 + 5 = 8888

9876 x 9 + 4 = 88888

98765 x 9 + 3 = 888888

987654 x 9 + 2 = 8888888

9876543 x 9 + 1 = 88888888

98765432 x 9 + 0 = 888888888

Number Pattern - Multiply by 8

2009-09-02T00:38:00.000+05:30

1 x 8 + 1 = 9
12 x 8 + 2 = 98
123 x 8 + 3 = 987
1234 x 8 + 4 = 9876
12345 x 8 + 5 = 98765
123456 x 8 + 6 = 987654
1234567 x 8 + 7 = 9876543
12345678 x 8 + 8 = 98765432
123456789 x 8 + 9 = 987654321

Number Pattern - 1, 2, 8 and 9

2009-09-01T23:38:00.002+05:30

9 x 2 = 18

99 x 2 = 198

999 x 2 = 1998

9999 x 2 = 19998

99999 x 2 = 199998

999999 x 2 = 1999998

9999999 x 2 = 19999998

99999999 x 2 = 199999998

999999999 x 2 = 1999999998

Great Thoughts - 1

2009-09-01T21:53:00.005+05:30

LIVE AS IF,

THERE IS NO TOMORROW.

LEARN AS IF,

YOU WERE TO LIVE FOREVER

Number Pattern with Repeating 8

2009-08-31T00:34:00.002+05:30

9 x 9 + 7 = 88
98 x 9 + 6 = 888
987 x 9 + 5 = 8888
9876 x 9 + 4 = 88888
98765 x 9 + 3 = 888888
987654 x 9 + 2 = 8888888
9876543 x 9 + 1 = 88888888
98765432 x 9 + 0 = 888888888

Number Pattern with 1, 8 & 9

2009-08-30T04:51:00.001+05:30

1 x 8 + 1 = 9

11 x 8 + 11 = 99

111 x 8 + 111 = 999

1111 x 8 + 1111 = 9999

11111 x 8 + 11111 = 99999

111111 x 8 + 111111 = 999999

1111111 x 8 + 1111111 = 9999999

11111111 x 8 + 11111111 = 99999999

111111111 x 8 + 111111111 = 999999999

Number Pattern - Fun With One

2009-08-29T03:30:00.001+05:30

1 x 1 = 1

11 x 11 = 121

111 x 111 = 12321

1111 x 1111 = 1234321

11111 x 11111 = 123454321

111111 x 111111 = 12345654321

1111111 x 1111111 = 1234567654321

11111111 x 11111111 = 123456787654321

111111111 x 111111111 = 12345678987654321

Number Pattern - Sum of Adjacent Integers....

2009-08-28T01:20:00.002+05:30

1 + 2 = 3

4 + 5 + 6 = 7 + 8

9 + 10 + 11 + 12 = 13 + 14 + 15

16 + 17 + 18 + 19 + 20 = 21 + 22 + 23 + 24

25 + 26 + 27 + 28 + 29 + 30 = 31 + 32 + 33 + 34 + 35

36 + 37 + 38 + 39 + 40 + 41 + 42 = 43 + 44 + 45 + 46 + 47 + 48

49 + 50 + 51 + 52 + 53 + 54 + 55 + 56 = 57 + 58 + 59 + 60 + 61 + 62 + 63

..............................................................................................................

Number Pattern - Repeating Numbers

2009-08-27T03:47:00.002+05:30

12345679 x 09 = 111111111

12345679 x 18 = 222222222

12345679 x 27 = 333333333

12345679 x 36 = 444444444

12345679 x 45 = 555555555

12345679 x 54 = 666666666

12345679 x 63 = 777777777

12345679 x 72 = 888888888

12345679 x 81 = 999999999

Number Pattern 1, 3, 4, 5, 6

2009-08-26T03:52:00.004+05:30

4² = 16
34² = 1156
334² = 111556
3334² = 11115556
33334² = 1111155556
333334² = 111111555556

3333334² = 11111115555556

Number Pattern 4, 6, 7, 8, 9

2009-08-25T03:34:00.004+05:30

7² = 49
67² = 4489
667² = 444889
6667² = 44448889
66667² = 4444488889
666667² = 444444888889

Real Numbers

2009-08-24T13:19:00.002+05:30

Number Pattern of Repeating 1

2009-08-24T02:55:00.005+05:30

1 x 9 + 2 = 11

12 x 9 + 3 = 111

123 x 9 + 4 = 1111

1234 x 9 + 5 = 11111

12345 x 9 + 6 = 111111

123456 x 9 + 7 = 1111111

1234567 x 9 + 8 = 11111111

12345678 x 9 + 9 = 111111111

Palindromic Number Pattern with 1

2009-08-23T14:40:00.012+05:30

1 x 1=1
11 x 11=121
111 x 111=12321
1111 x 1111=1234321
11111 x 11111=123454321
111111 x 111111=12345654321
1111111 x 1111111=1234567654321
11111111 x 11111111=123456787654321
111111111 x 111111111=12345678987654321

Number Pattern - Triangular Numbers

2009-08-23T14:18:00.015+05:30

Let the numbers be represented with square boxes.

i.e 1 with one square box, 2 with two square boxes, 3 with 3 square boxes and so on.

Arrange the square boxes representing a number in the form of a triangle.

The numbers for which we can make such an arrangement are called Triangular numbers.

The first triangular number is 1.

The second triangular number is 3, which is 1+2.

The third triangular number is 6, which is 1+2+3.

The fourth triangular number is 10, which is 1+2+3+4.

Continuing this pattern, the fifth triangular number is the sum of first five natural numbers.

The n^th triangular number is the sum of the first n natural numbers.

It is not possible to arrange the square boxes

representing the numbers 2,4,5,7,8,9,... in the form of a triangle.

So they are not triangular numbers.

See the Pattern..

1 + 2 = 3

1 + 2 + 3 = 6

1 + 2 + 3 + 4 = 10

1 + 2 + 3 + 4 + 5 = 15

1 + 2 + 3 + 4 + 5 + 6 = 21

1 + 2 + 3 + 4 + 5 + 6 + 7 = 28

1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 = 36

1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 = 45

Number Pattern of 7, 6, 2, 3 and 9

2009-08-23T07:44:00.006+05:30

7 x 9 = 63

77 x 99 = 7623

777 x 999 = 776223

7777 x 9999 = 77762223

77777 x 99999 = 7777622223

777777 x 999999 = 77777622223

7777777 x 9999999 = 77777762222223

77777777 x 99999999 = 7777777622222223

777777777 x 999999999 = 777777776222222223