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Yes, you are right. Infinity is diffuclt to comprehend for others, not for mathematicians.
The calculator on my PC (in the scientific mode) gives the complete output of a function of resultant about 40 digits. I wonder how you did that with a calculator. Tell us how.
I read this interesting information in 'The Book of Nothing' by John D Barrow.
With the discovery of negative numbers, new jokes became possible.
Like that of the individual whose personality was so negative that when he walked into a party, the guests would look around each other and ask each other 'Who left?'
Or the scientist whose return to the country was said to have added to the brain drain.
I am pretty serious, Administrator.
I discovered that 2^20 ends in 76.
Thereafter, any number of the form 2^20n ends in 76.
Similarly, any number of the form 2^100n ends in 376.
Next, I had to know the last few digits of 2^500 and 2^2500.
When I learnt that they are 9376 and 09376, I was excited.
Because, any number of the form 2^500n would then have to end in 9376
and every 2^2500n would have to end in 09376.
But I wanted to be sure about it, thats the reason I sought to know how it was obtained.
Are you sure?
I am happy if they are 89376 and 09376.
Please also tell me how you got those numbers.
I think IQ tests work fairly well. Testing a person's logical thinking can be equated to testing his intelligence. Logic relates to drawing inferences from available information. But logic can be funny too. This is syllogism.
The book is on the table.
The table is on the ground.
Therefore, the book is on the ground!
A right angled triangle is one in which one of the angles is 90 degrees.
Pythagoras theorem states that the sum of the square of the two sides is equal to the square of the longest side, i.e. the hypotenuse.
You can also think of it this way.
The total of the area of the squares formed by the two shorter sides of a right angled triangle would be equal to the area of the square formed by the longest side.
The first reply has given you one of the possibilities.
There are many more.
eg (5,12,13)
Can anyone tell me what
(1) the last 5 digits of 2^500 and
(2) the last 5 digits of 2^2500 are?
This is an important link in my work on numbers.
Adobe - came from name of the river Adobe Creek that ran behind the house of founder John Warnock.
Apache - It got its name because its founders got started by applying patches to code written for NCSA's httpd daemon. The result was 'A PAtCHy' server -- thus, the name Apache
Apple Computers - favourite fruit of founder Steve Jobs. He was three months late in filing a name for the business, and he threatened to call his company Apple Computers if the other colleagues didn't suggest a better name by 5 o'clock.
C - Dennis Ritchie improved on the B programming language and called it 'New B'. He later called it C. Earlier B was created by Ken Thompson as a revision of the Bon programming language (named after his wife Bonnie)
CISCO - its not an acronymn but the short for San Francisco.
Compaq - using COMp, for computer, and PAQ to denote a small integral object.
GNU - a species of African antelope. Founder of the GNU project Richard Stallman liked the name because of the humour associated with its pronuniciation and was also influenced by the children's song 'The Gnu Song' which is a song sung by a gnu. Also it fitted into the recursive acronym culture with 'GNU's Not Unix'.
Google - the name started as a jokey boast about the amount of information the search-engine would be able to search. It was originally named 'Googol', a word for the number represented by 1 followed by 100 zeros. After founders - Stanford grad students Sergey Brin and Larry Page presented their project to an angel investor, they received a cheque made out to 'Google'!
Hotmail - Founder Jack Smith got the idea of accessing e-mail via the web from a computer anywhere in the world. When Sabeer Bhatia came up with the business plan for the mail service, he tried all kinds of names ending in 'mail' and finally settled for hotmail as it included the letters "html" - the programming language used to write web pages. It was initially referred to as HoTMaiL with selective upper casing.
HP - Bill Hewlett and Dave Packard tossed a coin to decide whether the company they founded would be called Hewlett-Packard or Packard-Hewlett.
Intel - Bob Noyce and Gordon Moore wanted to name their new company 'Moore Noyce' but that was already trademarked by a hotel chain, so they had to settle for an acronym of INTegrated ELectronics.
Java - Originally called Oak by creator James Gosling, from the tree that stood outside his window, the programming team had to look for a substitute as there was another language with the same name. Java was selected from a list of suggestions. It came from the name of the coffee that the programmers drank.
LG - combination of two popular Korean brands Lucky and Goldstar.
Linux - Linus Torvalds originally used the Minix OS on his system which he replaced by his OS. Hence the working name was Linux (Linus' Minix). He thought the name to be too egotistical and planned to name it Freax(free + freak + x). His friend Ari Lemmke encouraged Linus to upload it to a network so it could be easily downloaded. Ari gave Linus a directory called linux on his FTP server, as he did not like the name Freax.
(Linus' parents named him after two-time Nobel Prize winner Linus Pauling)
Lotus (Notes) - Mitch Kapor got the name for his company from 'The Lotus Position' or 'Padmasana'. Kapor used to be a teacher of Transcendental Meditation of Maharishi Mahesh Yogi.
Microsoft - coined by Bill Gates to represent the company that was devoted to MICROcomputer SOFTware. Originally christened Micro-Soft, the '-' was removed later on.
Mozilla - When Marc Andreesen, founder of Netscape, created a broswer to replace Mosaic (also developed by him), it was named Mozilla (Mosaic-Killer, Godzilla). The marketing guys didn't like the name however and it was re-christened Netscape Navigator.
ORACLE - Larry Ellison and Bob Oats were working on a consulting project for the CIA (Central Intelligence Agency). The code name for the project was called Oracle(the CIA saw this as the system to give answers to all questions or something such). The project was designed to help use the newly written SQL code by IBM. The project eventually was terminated but Larry and Bob decided to finish what they started and bring it to the world. They kept the name Oracle and created the RDBMS engine. Later they kept the same name for the company.
Red Hat - Company founder Marc Ewing was given the Cornell lacrosse team cap (with red and white stripes) while at college by his grandfather. He lost it and had to search for it desperately. The manual of the beta version of Red Hat Linux had an appeal to readers
to return his Red Hat if found by anyone !
SAP - "Systems, Applications, Products in Data Processing", formed by 4 ex-IBM employees who used to work in the 'Systems/Applications/Projects' group of IBM.
SCO (UNIX) - from Santa Cruz Operation. The company's office was in Santa Cruz.
Sony - from the Latin word 'sonus' meaning sound, and 'sonny' a slang used by Americans to refer to a bright youngster.
SUN - founded by 4 Stanford University buddies, SUN is the acronym for Stanford University Network.
UNIX - When Bell Labs pulled out of MULTICS (MULTiplexed Information and Computing System), which was originally a joint Bell/GE/MIT project, Ken Thompson and Dennis Ritchie of Bell Labs wrote a simpler version of the OS. They needed the OS to run the game Space War which was compiled under MULTICS. It was called UNICS - UNIplexed operating and Computing System by Brian Kernighan. It was later shortened to UNIX.
Xerox - The inventor, Chestor Carlson, named his product trying to say dry' (as it was dry copying, markedly different from the then prevailing wet copying). The Greek root `xer' means dry.
Yahoo! - the word was invented by Jonathan Swift and used in his book 'Gulliver's Travels'. It represents a person who is repulsive in appearance and action and is barely human. Yahoo! founders Jerry Yang and David Filo selected the name because they considered themselves yahoos.
SOURCE :- www.hijokes.com
Before the computer age,
An APPLICATION was for employment.
A PROGRAMME was a television show.
WINDOWS were something you hated to clean.
A KEYBOARD was a piano.
MEMORY was something you lost with age.
A CD was a bank account.
COMPRESS was something you did to garbage.
LOG ON was adding wood to a fire.
A HARD DRIVE was a long trip on the road.
A MOUSE PAD was where a mouse lived.
CUT you did with scissors.
PASTE you did with glue.
A WEB was a spider's home.
And a VIRUS was a flu!
0.1111111111111.....(recurring) can be written as a fraction
as 1/9.
When the recurring decimal is multiplied by 9,
we get 0.99999999999999999999........ (recurring).
But when we perform the same operation
on the number expressed as a fraction,
we have to multiply 9 and 1/9.
We get 1.
Therefore,
0.9999999999999999.........(recurring)
is equal to 1.
Satan said.....
I can frustrate human beings with tireless mathematical problems...
God said.......
I gave men the brain to solve all of them.....
Satan said .....
CAN YOU TELL ME WHAT IS THE LAST DIGIT OF SQUARE ROOT OF INFINITY ???
God said.......
Man has defined the infinite and the transfinite......
Anyhow, the squareroot of infinity ends in 6.....
Because Infinity itself ends in 6, not in 9.......
God is infintely superior to the Satan, if he says
Infinity ends in 6, it must.......
Ashes to Ashes,
Dust to dust,
If it doesn't end in 6,
it never must......
hahaha
You would be getting messages from me;
But, this one's a sitter.....
Any mathematician should be able to answer this;
Whats so special about the number 232792560 ???????
Superman, Batman, and Spiderman go to attend Tintin's Birthday Party. Superman, Batman and Spiderman have got into an understanding whereby each of them spend equally on any outing. Superman brings 5 candles with him, Batman bring exactly the same size and cost, but only three candles with him. Spiderman brings nothing with him but when they return after the party, hands over 8 Pounds as his contribrution. Now, the question is, how would Superaman and Batman share the amount such that all of them had spent equally on the party. Asterix has decided how that is to be done. Mickey and Donald are impressed. Phantom is astonished. Can you deliver the judgement?
The question was the shortest distance a spider crawls from one vertex to a diagonally opposite vertex;
the solution is reached thus;
the spide crawls from one vertex to the mid point of the two dimensional opposite vertex;
therefore the distance travelled would be square root of 10^2 + 5^2
Then, the spider crawls a similar distance to reach the diagonally opposite vertex;
Hence, the distance travelled would be 2 multiplied by square root of 10^2 + 5^2
That is, 2 multiplied by square root of 125, i.e. 2 multiplied by 5 multiplied by square root of 5
around 22.3 meteres.....
This is the shortest distance
In mathematics, 1 divided by zero is consrued to be infinity.....
There's a reason for that; when 1 is divided by an extrememly small number, like
0.00000000000000000000000000000000000000000000000000000000000000001,
the resultant is a very big number.
On the other hand, When 1 is divided by an extremely large number, say a centillion,
the resultant is so small that it is almost zero, repeat ALMOST zero, not zero....
But what happens when we divide 1 by a number as big as infinity?
The result is zero.
When 1 is divided by an infinitely large number, the result is an infinitely small number,
and when this infinitely small number is added to itself infinite number of times,
the result would be exactly 1, not any more.
This is difficult to prove, but the logic behind it is perfectly okay.
If you are interested in knowing more about infinity,
use any search engine and get information about
Hilbert's Hotel.
Tahts Pferctly rgiht! It otfen hapspnes wilhe tpye wrtniig! The baetuy leis in our cocntertanig on the frsit and lsat lteters!
Lets wait for more responses......I shall give the solution soon...
mathsyperson is correct.....neat work....
the exact value is 574.5875 and we take degrees centigrade plus 273..15 as Kelvin temperature....
Coming to his question, the bucket of water would at 30 degrees Fahrenheit would have frozen at thirtytwo degree F! so the ball wouldn't sink in the bucket of water at 30 deg f!!!
I guess you know the answer, but unable to put it in proper words...
Any precise answer?
Tell me, where I go wrong
Step (1) :- 1/4 > 1/8
Step (2) :- (1/2)^2 > (1/2)^3
Taking log on both sides
Step (3) :- 2 log (1/2) > 3 log (1/2)
Cancelling log (1/2) on both sides
Step (4) :- 2 > 3
Obviously, 2 is not greater than 3,
but I started with a correct inequation;
Where did I go wrong???
0^0 is neither 0 nor 1;
it is simply not defined....
certain functions in mathematics are indeterminate,
like 0/0;
when the numerator of a number is zero, irrespective of the denominator(provided the denominator is not zero), the value is 0;
when the denominator of a number is 0, irrespecive of the numerator (provided numerator is not zero), the value is infinity
We know that at -40 degrees, degree centigrade is equal to degree Fahrenheit.
Can you guess at what temperature degree Fahrenheit would be equal to Kelvin?
Consider a room, 10m x 10m x 10m
A spider starting from one vertex, has to reach
the diagonally opposite vertex....
What's the minimum distance the spider would have to crawl?
Yes, my friend....
I discovered this more than 15 years back,
but very recently, I wrote a proof for this
The proof is on my website,
in the bottom of 'the number 'e''
page....
that is another elegant property of the number e....
i shall tell you one more...
into how many pieces has a number to be divided in order to get the maximum
product?
when the parts are closes to 'e' !
for example, when 10 is divided into two equal parts, the product is 25,
when diivided into three equal parts, the products is roughly 37.03...
but when divided into four parts (each part is 2.5, closest to 'e'),
the product is the maximum,,that is, 39.0625