CLEARLY: I don't want to write down all the in-between steps.
TRIVIAL: If I have to show you how to do this, you're in the wrong class.
OBVIOUSLY: I hope you weren't sleeping when we discussed this earlier, because I refuse to repeat it.
RECALL: I shouldn't have to tell you this, but for those of you who erase your memory tapes after every quiz, here it is again.
WITHOUT LOSS OF GENERALITY: I'm not about to do all the possible cases, so I'll do one and let you figure out the rest.
SIMILARLY: At least one line of the proof of this case is the same as before.
TWO LINE PROOF: I'll leave out everything but the conclusion.
ONE MAY SHOW: One did, his name was Gauss.
IT IS WELL KNOWN: See "Mathematische Zeitschrift'', vol XXXVI, 1892.
CHECK FOR YOURSELF: This is the boring part of the proof, so you can do it on your own time.
SKETCH OF A PROOF: I couldn't verify the details, so I'll break it down into parts I couldn't prove.
HINT: The hardest of several possible ways to do a proof.
BRUTE FORCE: Four special cases, three counting arguments, two long inductions, and a partridge in a pair tree.
SOFT PROOF: One third less filling (of the page) than your regular proof, but it requires two extra years of course work just to understand the terms.
ELEGANT PROOF: Requires no previous knowledge of the subject, and is less than ten lines long.
CANONICAL FORM: 4 out of 5 mathematicians surveyed recommended this as the final form for the answer.
THE FOLLOWING ARE EQUIVALENT: If I say this it means that, and if I say that it means the other thing, and if I say the other thing...
BY A PREVIOUS THEOREM: I don't remember how it goes (come to think of it, I'm not really sure we did this at all), but if I stated it right, then the rest of this follows.
BRIEFLY: I'm running out of time, so I'll just write and talk faster.
LET'S TALK THROUGH IT: I don't want to write it on the board because I'll make a mistake.
PROCEED FORMALLY: Manipulate symbols by the rules without any hint of their true meaning.
QUANTIFY: I can't find anything wrong with your proof except that it won't work if x is 0.
FINALLY: Only ten more steps to go...
Q.E.D. : Thank God !
PROOF OMITTED: Trust me, it's true.
Monday, September 1, 2008
Definitions of Terms Commonly Used in Lectures at IITs !!
Sunday, August 24, 2008
Saturday, May 24, 2008
The Internet FAQ from 2085
What was the internet?
The internet and the world web was a computing system to transfer human information. Scientists have based its beginning to the years 1920 to 1940.
What was electromail?
Electromail was another transport protocol to transfer human information, but it was quickly discontinued as it caused misunderstandings due to lack of correctly representing emotions.
What were world web sites?
A so-called world web site consisted of an address of its owner to locate their physical business location, as well as other miscellaneous transmitting of human information that was considered important at the time. The protocol used to decode the information was called hypertext, and as its standards changed quickly over the years, it is impossible to decode most of the information contained within.
I noticed the word “NSFW” in a world web sites museum displaying hypertext reproductions. What does it mean?
Scientific research at the late Mars Research Laboratory came to the conclusion that NSFW announced the display of a widely popular human called Britneyspears in the 1970s. Why warnings were issued before the viewing of this human is unclear.
Did the world web have version numbers?
Yes. In the beginning, the world web was numbered from 1 to 10, with most people considering world web 8 to be the first stable release. Afterwards, the world web received code names for each new version, like “Omega Sun” or the popular “Happy Happy Rabbit" release.

A picture showing the internet. It is unclear what it depicts.
Who controlled the internet?
The internet was controlled by the governments, then for a brief period by personal humans all over the world, and then again by the governments. The intermittent period of personal human control was subsequently named the internet dark age as it incited to unlawful behavior.
What alternative information transfer technologies accompanied the internet?
The internet was only one of many transfer technologies. Equally popular at the time were the Ipod, also called Phone, a device to record and emit copies of the human voice, as well as the so-called Pongmachine which showed an animated bright shape on a dark background.
What was the Googlecom?
The Googlecom was a government-supervised computerized mechanism for human information storage and retrieval. It subsequently became integrated into the Universal Intelligence in around 2035.
Did the internet help the birth of the Universal Intelligence?
It is believed that the internet was an important mechanism to copy, spread and advance the ancestor of the Universal Intelligence. While the human civilization host system was unstable, progress was quickly reached after the invention of self-developing computerized intelligence machinery.
What was the Worldthought, the Netlink, and the Civilitron?
This FAQ only deals with planet number 5010; for the early computing systems of other planets, please refer to FAQs number 1 - 10000.
How long did humans take to invent the internet?
Scientific research believes that humans took around 150,000 years to build the internet and the world web as well as electromail. To explain the delay, it is believed that a human brain needed around 20 seconds to calculate an expression like 12 * 390, whereas it was incapable of calculating expressions like 12 * 3903829. Other inhabitants of the planet such as Bonobo Apes or the Arrowtooth Eel are believed to have had higher brain capacities, but no intent to build the internet.
Which entities were most popular on the internet?
While early hypertext storage can only be vaguely decoded, scientific research believes that from 1970 to 1999, the most popular entity on the internet was Britneyspears; from 2000 to 2020, it was Pleaseclickhere; from 2021 to 2030, it was the Mechabot100 release.
When did the internet end?
The internet ended with the end of planet number 5010, which is widely attributed to the fact that humans were using transportation facilities called autocars which only used around 1/5th of their transportation storage capacity, causing the planet to overheat. Copies of the internet are available in other systems though so you can read the archive at anytime.
I am interested to find out more about humans, where can I see them?
You can find representative entities of the human species in most local zoos. Visitors of model version 4.55 and lower receive special discounts; while the brain of humans is likely incapable of experiencing pain, please do not feed or break them.
Check out >
Thursday, February 14, 2008
Cartoon Physics
Just found a page detailing cartoon physics at Wikipedia. Here are some of the laws of the world of cartoon characters:
- Explosives will merely burn the character’s skin, even when exploded close-by
- Guns sometimes shoot a flag reading “BANG!” instead of an actual bullet
- Characters running off a cliff or otherwise ending up in high air will only fall after they notice their wereabouts (by looking down)
- When a character starts running, their running legs will be shown for a brief time as the character remains on the same spot, before disappearing in a cloud of dust
- When a character tries to explode dynamite, it usually doesn’t explode the first time (but only explodes when the character checks up on the dynamite)
- Working holes or tunnels in walls can be created by simply painting them
- When a character is exposed to an eletric shock, you will briefly see their skeleton as if x-rayed
- Characters can successfuly hide from view behind trees, no matter how big the character or how thin the tree
- Often characters can pull extremely large objects, as needed, from small pockets or bags (the so-called “magic satchel”)
- A character crashing through a door, wall, fence or the like will leave a detailed silhoute of the character
- Hunters or predators will always try different hunting or trapping methods exactly once (never twice), and mostly always fail
- Companies are named “Acme Corporation” (the acronym ACME can be expanded to “American Company Making Everything”)
- Any damage whatsoever is never permanently lasting, and will not result in death
