Monday, December 21, 2009

Function of a real variable

A function of a real variable is a function whose domain is an improper subset of the real line. Functions of a real variable were the classical object of study in analysis, specifically real analysis. In that context, a function of a real variable usually meant a real-valued function of a real variable, that is, a function whose domain and codomain were the real numbers.

However, as real analysis evolved, because of their convenience in fields such as Limits, it was also common to consider complex functions of a real variable, that is, a function whose domain was the real numbers and whose range was the complex numbers.

Let M(t) be defined on R:C, where R and C is the set of real and complex numbers respectively. Suppose T is the smallest real number, t for which M(t) is real. Given the existence of such a T, the only solace I got is that it was fairly small.

Wednesday, December 9, 2009

Not exactly politically correct facts

If you yelled for 8 years, 7 months and 6 days you would have produced enough sound energy to heat one cup of coffee.

(Hardly seems worth it.)


If you farted consistently for 6 years and 9 months, enough gas is produced to create the energy of an atomic bomb.

(Now that's more like it!)


The human heart creates enough pressure when it pumps out to the body to squirt blood 30 feet.

(O.M.G.!)


A pig's orgasm lasts 30 minutes.

(In my next life, I want to be a pig.)


A cockroach will live nine days without its head before it starves to death. (Creepy.)

(I'm still not ! over the pig. )


Banging your head against a wall uses 150 calories a hour

(Don't try this at home, maybe at work)


The male praying mantis cannot copulate while its head is attached to its body. The female initiates sex by ripping the male's head off.

(Honey, I'm home. What the..?!)


The flea can jump 350 times its body length. It's like a human jumping the length of a football field.

(30 minutes..lucky pig! Can you imagine?)


The catfish has over 27,000 taste buds. (What could be so tasty on the bottom of a pond?)


Some lions mate over 50 times a day.

(I still want to be a pig in my next life...quality over quantity)


Butterflies taste with their feet.

(Something I always wanted to know.)


The strongest muscle in the body is the tongue.

(Hmmmmmm......)


Right-handed people live, on average, nine years longer than left-handed people.

( If you're ambidextro us, do you split the difference?)


Elephants are the only animals that cannot jump.

(Okay, so that would be a good thing)


A cat's urine glows under a black light.

(I wonder who was paid to figure that out?)


An ostrich's eye is bigger than its brain.

( I know some people like that.)


Starfish have no brains

(I know some people like that too.)


Polar bears are left-handed.

(If they switch, they'll live a lot longer)


Humans and dolphins are the only species that have sex for pleasure.

(What about that pig??)