Sunday, September 28, 2008

1/0 is not defined and 0/0 is indeterminate

1/0 is not defined and not infinity.

x divided by y means to make "y equal parts of x". Since it is not possible to make 0 parts of 1, 1/0 is not defined.

Proof goes like this
consider the series 1/(1/2) , 1/(1/3) , 1/(1/4) , ...................................
The denominator in the series becomes smaller and smaller and eventually will become zero. Thus eventually we will get a number1/0 in the series.
The series becomes 2 , 3 , 4 , ................................ Hence we can conclude 1/0 = infinity

consider the series 1/(-1/2) , 1/(-1/3) , 1/(-1/4) , ...................................
The denominator in the series will become zero. Thus eventually we will get a number1/0 in the series.
The series becomes -2 , -3 , -4 , ................................ Hence we can conclude 1/0 = -infinity

Hence we get 2 values of 1/0. We are not sure whether 1/o is infinity or -infinity.
Therefore 1/0 is not defined. Anything which doesn't make sense is not defined.

Proof 2
Let 1/0 = x .
Hence 0*x = 1. No value of x satisfies the equation. Hence x is not defined.
Therefore 1/x is not defined.

On the other hand consider 0/0
Let 0/0 = x.
Hence 0*x= 0. Any value of x satisfies the equation. Hence x cannot be determined.
Therefore 0/0 is indeterminate.

Note Indeterminate and not defined are not one and the same. Indeterminate means the solution can take any value. However not defined means the solution doesn't have any value.

Wednesday, September 17, 2008

So called Spirit


I hear lot of news channels and people saying terrorists cannot break the spirits of the people. People are back on track the next day be it after the train bomb blasts in Mumbai or the recent Delhi blasts. Is this spirit of the people or just that people are not concerned, self centered or they dont have an option but to get back on track.

The scene in the pics is the real spirit of people that actually hurts the terrorists and not the fact that people get back to work the next day. Actually when the terrorists see people get back to their routine the next day they are actually happy and feel that the people out there are not concerned at all.

I am blaming myself also for the things happening as I am not doing anything great to bring about a change. Yes I would love to be a part of solution rather than a part of problem and make an endavour to move from the problem side to solution side. You can say I am already moving. The more the gap between rich and poor the problems will multiply and we have done enough things to ensure this.I dont want to be a liability to the planet. I always pray to God to make best use of me.

Stop Terrorism

I was thinking how terrorism can be reduced if not stopped. I got the answer from Bawa. Bawa is an IITian and an art of living teacher. The following extract is taken from his blog where has posted this . His blog is awesome www.bawandinesh.name

Whenever, wherever they want, they plant the bombs and blow them off. Are we really helpless?

No. They do this because of lack of education. They do this because they think that a cause is more important than a human life. There are many ways that this can stop… here are some:

1. Many people have to go through the Art of Living training and learn to value life. I have had quite a few (muslim) students who have been approached by these terror outfits to join them and they have refused because they have this Knowledge… So go out of your way to bring Art of Living in people’s lives… You may prevent a person from becoming a terrorist!

2. When many, many people meditate on a very regular basis, then that increases the Satva in the environment. There have been studies and experiments done to prove this. A group of 10,000 people meditated in rotation for about a month in a city in the US, and the crime rate in that city dropped dramatically, “normal” crime dropped by 35% and violent crime between 38% and a staggering 85%. So if you have learned to meditate, see that you do it everyday!! You may just have a hand in preventing a bomb blast!

3. Organizations and governments need to drop their pseudo secular stance, by encouraging everyone to learn to meditate, do Sudarshan Kriya… Some classify Art of Living as “religious” or “Hindu” and they are doing so at the peril of the security and safety of our country and the world in general. Art of Living is a purely spiritual orgnization, has nothing to do with religion and will always stand up for whatever is right! If you are working in any organization, please see to it that you initiate and carry through the training of Art of Living wherever you work or study. This becomes mush easier if you excel at your chosen field. So exceling at work or studies becomes of paramount importance, because, then as far as society is concerned your words have weight… and you can use that to make people learn how to breathe :)… Who would have thought those good grades could help prevent a bomb blast huh?!

4. Everyone needs to develop the attitude that: The ONLY thing we will not tolerate is intolerance! It is intolerance, a non verifiable concept of God, a childish concept of an angry and vengeful God who will reward few people in the hereafter and punish everyone else… Everyone needs to realise that everyone and everything is God’s creation and He is not going to get any kick out of people killing each other in His name… We definitely follow one path, but we respect all… we learn from all.

5. We need learn to celebrate diversity and soak in the richness of diversity. Let go of the notion that everyone should be like me, that everyone should beileve in what i believe, that you are “good” only if you are on my “team”. We should wonder at the diversity there is and seek to preserve it. And at the same time realise that basically we are all part of a universal spirit first… gender, race, nationality, religion are all secondary and really not worth fighting about. The diversity there is has been created for our pleasure, and is not to be destroyed!

6. Look for the similarities in different belief systems and come together with those and then celebrate the differences… Most so called leaders have become arrogant and spend all their time in finding differences in what they believe and what others believe and then become very creative in finding ways to undermine, insult and destroy the other. These leaders really need to be dethroned, because they are a disgrace to the faith they represent and a blot on the humanness of humanity. All of us have to learn to understand that there are many ways to the Truth, and that Truth itself is multifaceted and beyond any logic. And we need leaders who will teach this to their flocks instead of the we are right, they are wrong.

7. Everyone has to vote! We all have to take responsibility about who we are choosing to govern our country on our behalf. The reason that the government and the politicians are doing minority appeasement, is because the vast majority doesn’t vote! So, until we have politicians who are really interested in the good of the country and who are ready to serve instead of rule, we citizens have to make our voices heard through our voting. The automatically, these power hungry people will be compelled to wield their power to serve the good of all, rather than appease the minority.

8. Whenever the media does an unfair or biased reporting about an event, we the people, should utterly flood their mail boxes and choke their telephone lines and tell them that we don’t appreciate such sensationalism in the news.

The biggest problem i think is that we don’t DO all these things that we know we should be doing. We ourselves are lazy, and we don’t want to move… and it’s always so very easy to become a victim and blame other people… All of us have it within us to stop this terror, if we only get up and start doing something about it, rather than just moaningand groaning and complaining about it…

So, breathe and meditate, get people to breathe and meditate, get people to get people to breathe and meditate, take responsibility for governance by voting and media by expressing outrage at sensationalism, involve more people into this process, educate lovingly and patiently, have zero tolerance for intolerance, stop complaints and being in victim consciousness, get up and take action.

Most importantly Pray. Prayer has the power to transform even the most rigid individual. But don’t get stuck only praying… prayer coupled with intelligent action can move the entire planet!

Sri Sri Ravishankar's closing remark in His speech at the Millennium Peace Summit at the UN in New York was: “I pray AND i take responsibility!”

Thursday, September 11, 2008

ONAM

Onam is a festival celebrated mostly in the state of kerela in India. Basically Onam is a festival of malayalees. Onam is celebrated in honour of King Mahabali (king of asuras) who ruled kerela and that period is considered to be the best period for kerela. Mahabali was the grandson of Prahalad who was great devotee of lord Vishnu. Hence Mahabali was also a great devotee of Vishnu.

There was a war between the king of asuras and king of devas. In other words the war was between Mahabali and lord Indra and Mahabali did a special yagna to get some special weapons to fight the battle under the guidance of Guru for asuras shukracharya. With a great tussle Mahabali won the battle and defeated Indra. All the demigods were afraid because Mahabali had conquered the entire universe. Hence to avoid any problems in the future all the demigods approached Vishnu (the maintainer) to rescue them.

Mahabali made an announcement that he is ready to offer anything which a person wants from him. Mahabali itself means great sacrifices. Vishnu took an avatar of a brahmin boy and asked for bhiksha (alms) from Mahabali. Shukracharya knew that the boy was a special person and hence he advised Mahabali not to honour the promise. However Mahabali was stubborn and asked the boy what he wants. The boy said that he will take away the land which he covers with 3 steps. Mahabali agreed. The boy increased his size to a gigantic one and stepped on the earth. With the second step he covered the brahma lok(heaven). When he stepped in brahma lok, Brahma washed the feet of Vishnu and chanted the Purushasooktam. There was no place left for the boy to keep his 3rd step. Mahabali offered his head and asked the boy to keep his feet on his head and The boy pushed Mahabali in the patala and he became the king of patala. The avatar taken by Vishnu is known as vamana avatar.

However Mahabali was allowed to meet his subjects once in a year and that day is celebrated as Onam. Mahabali being a great devotee of Vishnu and having defeated the Indra was promised to become an Indra in a manvatara (the office of indra is a rotating one). In the next manvatara Mahabali is the Indra. Onam also marks the start of harvest season.

PS Manvatara is a very long period. It is defined in Rigveda. Will find out the exact mathematics of years and all

Saturday, September 6, 2008

A story of Mentally challenged

This is a painting made by a deaf and dumb boy age 9.
Some days ago I happened to visit a school for deaf, dumb and mentally challenged. The name of the school is Astitva located at Dombivli (50 kms from Mumbai). I had no answer when I was thinking why are they deaf, dumb, mentally challenged and I am normal. The only answer came to my mind was fate. I didn't do anything correct to be born the way I am and they didn't do anything wrong to be born with deficiencies.

One thing that struck me was the teachers in the school doing such a wonderful job and selflessly trying to improve the students. The difference between these teachers and teachers who teach normal students is the same which you find between a bollywood singer and a classical singer. The best part is they are so well mannered and come and hug you and stand immediately when they see you. The grown up mentally challenged students (grown up in physical age) do some work so that they can be taken care of. The worst part is if they don't perform a particular activity for couple of days they forget how the job is to be done.So there needs to be a constant demand for the materials which they make otherwise the school will not be in a position to provide work to them.

I heard from one of the teachers the true story of this mentally challenged guy. This boy has a grand mother who was ill and admitted to the hospital. The operation required huge sums of money. By god's grace the family is well to do and hence there wasn't any financial problem. This boy knew that his grand mother is admitted in the hospital and wanted to perform the operation with the help of his money. He was doing the routine work which the school authorities provide to the students. Hence, he told the authorities that he has worked and should be given money. He doesn't know what is the worth of a rupee. He was overjoyed on receiving the one rupee from the school and when he went to visit his grand mother at the hospital he told the doctor take the money and perform my grandmother's operation. He till today feels his grandmother's operation was performed with his money.

Then I realized why are these people called retards? The boy gave away 100% of his income for the grandmother's operation. If he would have been a normal human being he would never have done it or at least thought before doing it. Decide for yourself who are retards.

PS Even in accountancy giver always get the credit. Remember the golden rule for personal account- Debit the receiver Credit the giver.

Tuesday, September 2, 2008

Calender

GIVEN A DATE,MONTH AND A YEAR; HOW TO FIND OUT THAT DAY?

Year +1/4th of year+ date + code of that month
(Year means only the last two digits of the year)
(in 1/4th of the year take only the integral part and not the decimals)

Eg: year is 1987 then take year=87
1/4th = 21



Codes Month
0 June
1 Sept and Dec
2 July and Apr
3 Jan and Oct
4 May
5 Aug
6 Feb,Mar and Nov

if the year falls between 1900 to 1999 deduct two, if the year falls btwn 2000-2099 deduct three, if the year falls between 1800 and 1899 no adjustment is required.
divide the result obtained in 1(after adjusting point no 3) by seven
note the remainder
if it is a leap year and the date is before 1st of March subtract one irrespective of the deductions mentioned in point number 3


Remainder Day
1 Sun
2 Mon
3 Tue
4 Wed
5 Thur
6 Fri
0 Sat


an Eg of the entire process:

suppose the date is 3-9-2008

Solution:

08(Year)+(1/4thof 8)+1(code of September)+3(Date)-3(Stated in point no 3)
=8+2(integral part )+1+3-3
=8+2+1+3-3
=11

when 11 is divided by 7 the remainder is 4 thus by referring to table we can say that the day is WEDNESDAY

PS
Feel free to ask for any clarification. I will be more than happy to help.