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The Expected Effects of Global Warming - Research Paper
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math homework jokes Math Jokes is featured in the Top Ten Educational Sites on the World-Wide Web. (Learning in Motion's, September 2000 issue), see http://www.learn.motion.com. The suggested collection of mathematical folklore might be enjoyable for mathematicians and for students because every joke contains a portion of truth or lie about our profession. The selected jokes and sayings contain something essential about mathematics, the mathematical way of papers, thinking, or mathematical pop-culture. We have slightly edited and systematized selected jokes, and added a few new ones. We are concerned that publication of sacral lecture jokes may endanger the multiple regression, respect to math. teachers in freshmen classes. Our excuse for this risky ethnographic research is that the effects of global term papers, majority of the jesus, jokes already exists on the Internet. Sometimes, people tend to attribute the jokes either to their beloved teachers (Peter Lax is so far the champion) or to legendary figures as Norbert Wiener or Paul Erdos; similarly, physical jokes are attributed to Albert Einstein or Niels Bohr and geometrical theorems - to Euclid. Papers? A number of collected jokes we learned from our professors in Saint-Petersburg. Generally, attributing the jokes is hopeless.
Indeed, the phrasing of the narrator is as important as the essence of the humor (if this essence does exist at all). To our mind, a joke goes to public domain immediately after being created or modified and there should be no authorship in letter store it. Most of the collected sayings and jokes are repeated in a number of webpages, which makes it difficult to credit a particular Internet source. Of Global Warming Papers? Instead, we thank all Internet collectors of math. jokes. Let's start with general definitions. Mathematics is made of 50 percent formulas, 50 percent proofs, and 50 percent imagination.
A mathematician is my hero a device for turning coffee into theorems (P. Erdos) Addendum: American coffee is good for lemmas. An engineer thinks that his equations are an approximation to reality. Warming Term? A physicist thinks reality is an approximation to his equations. A mathematician doesn't care.
Old mathematicians never die; they just lose some of their functions. Mathematicians are like Frenchmen: whatever you say to them, they translate it into their own language, and analysis research, forthwith it means something entirely different. -- Goethe. Mathematics is the art of giving the effects of global warming term papers, same name to different things. -- J. H. Poincare. What is a rigorous definition of rigor? There is my hero jesus essay no logical foundation of mathematics, and Gödel has proved it! I do not think -- therefore I am not.
Here is the illustration of this principle: One evening Rene Descartes went to relax at a local tavern. The tender approached and said, Ah, good evening Monsieur Descartes! Shall I serve you the usual drink?. Of Global Papers? Descartes replied, I think not., and promptly vanished. A topologist is a person who doesn't know the difference between a coffee cup and a doughnut. A mathematician is a blind man in a dark room looking for a black cat which isn't there. (Charles R Darwin) A statistician is someone who is argumentative research paper good with numbers but lacks the effects warming papers, personality to be an accountant. Classification of mathematical problems as linear and nonlinear is like classification of the Universe as bananas and non-bananas. A law of conservation of difficulties: there is thesis argumentative research no easy way to prove a deep result. A tragedy of mathematics is a beautiful conjecture ruined by an ugly fact.
Algebraic symbols are used when you do not know what you are talking about. Philosophy is a game with objectives and of global warming papers, no rules. Mathematics is a game with rules and no objectives. Math is like love; a simple idea, but it can get complicated. The actual quote from the Webster dictionary: syn SCAD, gob(s), heap, jillion, load(s), million, oodles, quantities, thousand, wad(s) Mathematics is like checkers in being suitable for the young, not too difficult, amusing, and without peril to the state. (Plato)
The difference between an introvert and extrovert mathematicians is: An introvert mathematician looks at thesis argumentative paper his shoes while talking to you. An extrovert mathematician looks at your shoes. A bit of effects of global term, theology. Math is the language God used to write the universe. Asked if he believes in letter store one God, a mathematician answered: Yes, up to warming term, isomorphism. God is narrative real, unless proclaimed integer. Medicine makes people ill, mathematics make them sad and theology makes them sinful. (Martin Luther) The good Christian should beware of mathematicians and all those who make empty prophecies. The danger already exists that mathematicians have made a covenant with the devil to darken the of global warming term papers, spirit and confine man in the bonds of Hell. (St. Augustine)
He who can properly define and argumentative, divide is to be considered a god. (Plato) God geometrizes says Plato. and here is the analytical continuation of this saying: Biologists think they are biochemists, Biochemists think they are Physical Chemists, Physical Chemists think they are Physicists, Physicists think they are Gods, And God thinks he is effects warming term a Mathematician. Physicists defer only to mathematicians, mathematicians defer only to God. 2. A mathematician and . The following sketches show our dedication to abstract thinking in the most unusual situations and strong belief in the universality of mathematical methods. Mathematicians are always impatient and essays, intelligent.
A mathematician and a Wall street broker went to of global warming term papers, races. The broker suggested to my hero jesus essay, bet $10,000 on a horse. The mathematician was sceptical, saying that he wanted first to of global warming term papers, understand the rules, to look on horses, etc. The broker whispered that he knew a secret algorithm for the success, but he could not convince the mathematician. You are too theoretical, he said and bet on my hero essay, a horse. Surely, that horse came first bringing him a lot of money. Of Global Papers? Triumphantly, he exclaimed: I told you, I knew the secret!
What is your secret? the cover letter, mathematician asked. It is rather easy. I have two kids, three and five year old. I sum up their ages and I bet on number nine. But, three and five is effects term papers eight, the mathematician protested.
I told you, you are too theoretical! the broker replied, Haven't I just shown experimentally, that my calculation is correct! 3+5=9! A mathematician, a physicist, an engineer went again to the races and essay, laid their money down. Commiserating in the bar after the effects warming term, race, the engineer says, I don't understand why I lost all my money. I measured all the essay on regionalism in india, horses and calculated their strength and mechanical advantage and figured out how fast they could run.
The physicist interrupted him: . but you didn't take individual variations into of global warming papers account. I did a statistical analysis of their previous performances and bet on the horses with the highest probability of winning. . so if you're so hot why are you broke? asked the engineer. But before the argument can grow, the mathematician takes out descartes critical, his pipe and they get a glimpse of his well-fattened wallet. Obviously here was a man who knows something about horses. They both demanded to know his secret. Well, he says, first I assumed all the horses were identical and spherical.
An engineer, a physicist and a mathematician are staying in a hotel. The engineer wakes up and smells smoke. He goes out into the hallway and sees a fire, so he fills a trash can from his room with water and douses the fire. He goes back to bed. Later, the physicist wakes up and smells smoke. He opens his door and sees a fire in effects of global term papers the hallway. He walks down the hall to a fire hose and research, after calculating the flame velocity, distance, water pressure, trajectory, etc. extinguishes the effects of global term, fire with the minimum amount of water and energy needed.
Later, the mathematician wakes up and smells smoke. He goes to the hall, sees the fire and essay, then the fire hose. He thinks for a moment and then exclaims, Ah, a solution exists! and effects warming term papers, then goes back to literacy essays, bed. A physicist and a mathematician are sitting in a faculty lounge. Suddenly, the coffee machine catches on fire. The physicist grabs a bucket and leap towards the sink, filled the bucket with water and puts out the warming term papers, fire. Second day, the same two sit in in india the same lounge. Again, the coffee machine catches on fire. Warming Term? This time, the mathematician stands up, got a bucket, hands the bucket to the physicist, thus reducing the problem to a previously solved one. Another version: A mathematician and an engineer are on desert island.
They find two palm trees with one coconut each. The engineer climbs up one tree, gets the coconut, eats. The mathematician climbs up the other tree, gets the coconut, climbs the other tree and my hero essay, puts it there. Now we've reduced it to a problem we know how to solve. A biologist, a physicist and a mathematician were sitting in a street cafe watching the crowd. Across the of global term papers, street they saw a man and personal literacy narrative essays, a woman entering a building. Ten minutes they reappeared together with a third person.
- They have multiplied, said the biologist. - Oh no, an error in measurement, the physicist sighed. - If exactly one person enters the building now, it will be empty again, the of global term papers, mathematician concluded. Several scientists were all posed the following question: What is 2 * 2 ? The engineer whips out his slide rule (so it's old) and shuffles it back and forth, and thesis paper, finally announces 3.99. The physicist consults his technical references, sets up the problem on his computer, and announces it lies between 3.98 and 4.02. The mathematician cogitates for a while, then announces: I don't know what the answer is, but I can tell you, an answer exists!. Philosopher smiles: But what do you mean by 2 * 2 ? Logician replies: Please define 2 * 2 more precisely. The sociologist: I don't know, but is was nice talking about of global warming term papers it. Behavioral Ecologist: A polygamous mating system.
Medical Student : 4 All others looking astonished : How did you know ?? Medical Student : :I memorized it. A physicist, a mathematician, and a mystic were asked to personal literacy narrative essays, name the greatest invention of all time. The physicist chose the effects of global warming papers, fire, which gave humanity the power over matter. The mathematician chose the alphabet, which gave humanity power over symbols. Analysis Research? The mystic chose the thermos bottle. Why a thermos bottle? the others asked.
Because the thermos keeps hot liquids hot in winter and cold liquids cold in summer. Think about term it. Store? said the mystic reverently. That little bottle -- how does it *know*? At least this time we are together with the physicist! : An chemist, a physicist, and effects of global warming, a mathematician are stranded on an island when a can of argumentative research, food rolls ashore. The chemist and the physicist comes up with many ingenious ways to open the can.
Then suddenly the mathematician gets a bright idea: Assume we have a can opener . A mathematician is asked to design a table. He first designs a table with no legs. Then he designs a table with infinitely many legs. He spend the rest of his life generalizing the results for the table with N legs (where N is not necessarily a natural number). Several scientists were all posed the following question: What is pi ? The engineer said: It is approximately 3 and 1/7 The physicist said: It is 3.14159 The mathematician thought a bit, and replied It is equal to pi.
(A nutritionist: Pie is a healthy and effects warming, delicious dessert! ) An engineer, a physicist and a mathematician were asked to hammer a nail into a wall. The engineer went to narrative, build a Universal Automatic Nailer -- a device able to effects of global warming term papers, hammer every possible nail into every possible wall. The physicist conducted series of experiments on strength of hammers, nails, and walls and developed a revolutionary technology of ultra-sonic nail hammering at argumentative research super-low temperature. The mathematician generalized the problem to a N dimensional problem of penetration of a knotted one dimensional nail into a N-1 dimensional hyper-wall. Several fundamental theorems are proved. Of course, the problem is too rich to suggest a possibility of warming, a simple solution, even the existence of a solution is far from essay on regionalism, obvious. A mathematician, a physicist, and effects of global papers, an engineer were traveling through Scotland when they saw a black sheep through the window of the train.
Aha, says the engineer, I see that Scottish sheep are black. Hmm, says the physicist, You mean that some Scottish sheep are black. No, says the mathematician, All we know is that there is at least one sheep in Scotland, and that at least one side of that one sheep is black! A mathematician, scientist, and engineer are each asked: Suppose we define a horse's tail to be a leg. How many legs does a horse have? The mathematician answers 5; the scientist 1; and the engineer says But you can't do that! A mathematician, a physicist, and an engineer are all given identical rubber balls and told to find the volume.
They are given anything they want to measure it, and have all the time they need. The mathematician pulls out a measuring tape and records the circumference. He then divides by narrative essays two times pi to get the radius, cubes that, multiplies by pi again, and then multiplies by four-thirds and thereby calculates the volume. The physicist gets a bucket of water, places 1.00000 gallons of water in the bucket, drops in the ball, and effects warming, measures the displacement to thesis argumentative research paper, six significant figures. And the papers, engineer? He writes down the multiple regression, serial number of the ball, and looks it up. A Mathematician (M) and an Engineer (E) attend a lecture by a Physicist. The topic concerns Kulza-Klein theories involving physical processes that occur in spaces with dimensions of 9, 12 and even higher. The M is sitting, clearly enjoying the lecture, while the E is frowning and looking generally confused and puzzled. By the end the effects of global papers, E has a terrible headache.
At the end, the M comments about the wonderful lecture. E: How do you understand this stuff? M: I just visualize the process E: How can you POSSIBLY visualize something that occurs in 9-dimensional space? M: Easy, first visualize it in N-dimensional space, then let N go to 9 A team of engineers were required to measure the height of regression paper, a flag pole. They only had a measuring tape, and were getting quite frustrated trying to keep the of global papers, tape along the argumentative, pole. It kept falling down, etc.
A mathematician comes along, finds out their problem, and effects term, proceeds to remove the essay, pole from the ground and measure it easily. Effects Of Global? When he leaves, one engineer says to the other: Just like a mathematician! We need to know the height, and he gives us the thesis argumentative paper, length! A mathematician and a physicist agree to a psychological experiment. The (hungry) mathematician is put in a chair in a large empty room and his favorite meal, perfectly prepared, is placed at of global papers the other end of the room.
The psychologist explains, You are to remain in your chair. Every minute, I will move your chair to a position halfway between its current location and the meal. The mathematician looks at the psychologist in disgust. What? I'm not going to go through this.
You know I'll never reach the food! And he gets up and storms out. The psychologist ushers the in india, physicist in. He explains the situation, and the physicist's eyes light up and he starts drooling. The psychologist is a bit confused. Don't you realize that you'll never reach the food? T he physicist smiles and replies: Of course! But I'll get close enough for all practical purposes! One day a farmer called up an engineer, a physicist, and a mathematician and asked them to fence of the effects of global term, largest possible area with the least amount of fence. The engineer made the fence in a circle and proclaimed that he had the most efficient design.
The physicist made a long, straight line and proclaimed We can assume the essays, length is infinite. and pointed out that fencing off half of the Earth was certainly a more efficient way to do it. The Mathematician just laughed at them. He built a tiny fence around himself and said I declare myself to be on papers, the outside. The physicist and the engineer are in paper a hot-air balloon. Effects Papers? Soon, they find themselves lost in a canyon somewhere. They yell out for christ essay, help: Helllloooooo! Where are we? 15 minutes later, they hear an echoing voice: Helllloooooo! You're in a hot-air balloon!! The physicist says, That must have been a mathematician. The engineer asks, Why do you say that?
The physicist replied: The answer was absolutely correct, and it was utterly useless. Several scientists were asked to prove that all odd integers higher than 2 are prime. Mathematician: 3 is a prime, 5 is a prime, 7 is a prime, and by induction - every odd integer higher than 2 is a prime. Physicist: 3 is a prime, 5 is a prime, 7 is a prime, 9 is an experimental error, 11 is a prime. Just to be sure, try several randomly chosen numbers: 17 is a prime, 23 is a prime. Engineer: 3 is term papers a prime, 5 is a prime, 7 is a prime, 9 is an approximation to a prime, 11 is a prime. Programmer (reading the output on the screen): 3 is a prime, 3 is a prime, 3 a is prime, 3 is a prime. Biologist: 3 is a prime, 5 is a prime, 7 is a prime, 9 -- results have not arrived yet. Psychologist: 3 is jesus a prime, 5 is a prime, 7 is effects of global term a prime, 9 is a prime but tries to regression paper, suppress it.
Chemist (or Dan Quayle): What's a prime? Politician: Some numbers are prime.. Effects Warming Term? but the goal is to create a kinder, gentler society where all numbers are prime. Programmer: Wait a minute, I think I have an algorithm from Knuth on finding prime numbers. just a little bit longer, I've found the last bug. Thesis Research? no, that's not it. ya know, I think there may be a compiler bug here - oh, did you want IEEE-998.0334 rounding or not? - was that in the spec? - hold on, I've almost got it - I was up all night working on this program, ya know. now if management would just get me that new workstation that just came out, I'd be done by now. etc., etc. . (Two is the oddest prime of all, because it's the of global, only one that's even!) Dean, to the physics department. Why do I always have to give you guys so much money, for laboratories and expensive equipment and descartes essays, stuff. Why couldn't you be like the math. department - all they need is money for pencils, paper and waste-paper baskets. Effects Of Global? Or even better, like the philosophy department. All they need are pencils and paper.
A mathematician, an engineer, and cover store, a chemist were walking down the road when they saw a pile of cans of effects of global warming, beer. Thesis? Unfortunately, they were the old-fashioned cans that do not have the tab at the top. One of warming, them proposed that they split up and find can openers. The chemist went to his lab and thesis research paper, concocted a magical chemical that dissolves the can top in an instant and effects of global warming papers, evaporates the argumentative research, next instant so that the effects of global warming papers, beer inside is regression not affected. Effects Warming Papers? The engineer went to thesis argumentative, his workshop and created a new HyperOpener that can open 25 cans per second. They went back to effects of global warming, the pile with their inventions and found the mathematician finishing the essay, last can of beer. How did you manage that? they asked in astonishment. The mathematician answered, Oh, well, I assumed they were open and went from there.
An engineer, a physicist and a mathematician find themselves in an anecdote, indeed an anecdote quite similar to many that you have no doubt already heard. Warming Term? After some observations and rough calculations the engineer realizes the essay on regionalism, situation and starts laughing. Of Global Term Papers? A few minutes later the physicist understands too and chuckles to himself happily as he now has enough experimental evidence to multiple regression analysis paper, publish a paper. This leaves the mathematician somewhat perplexed, as he had observed right away that he was the warming term papers, subject of an anecdote, and deduced quite rapidly the presence of humor from jesus essay, similar anecdotes, but considers this anecdote to be too trivial a corollary to be significant, let alone funny. New York (CNN). At John F. Kennedy International Airport today, a high school mathematics teacher was arrested trying to board a flight while in possession of a compass, a protractor and a graphical calculator. According to law enforcement officials, he is believed to warming papers, have ties to the Al-Gebra network. My Hero Essay? He will be charged with carrying weapons of effects of global, math instruction. It was later discovered that he taught the students to solve their problem with the help of radicals! A mathematician organizes a lottery in which the prize is an infinite amount of money. When the essay in india, winning ticket is drawn, and the jubilant winner comes to claim his prize, the mathematician explains the mode of payment: 1 dollar now, 1/2 dollar next week, 1/3 dollar the effects of global, week after that.
A Mathematician was put in a room. The room contains a table and three metal spheres about the size of letter, a softball. Effects Term Papers? He was told to do whatever he wants with the jesus essay, balls and the table in one hour. After an hour, the effects papers, balls are arranges in a triangle at the center of the table. The same test is given to a Physicist. After an hour, the balls are stacked one on top of the other in the center of the table. Finally, an Engineer was tested. After an hour, one of the balls is analysis broken, one is missing, and effects of global papers, he's carrying the third out in his lunchbox.
A mathematician decides he wants to learn more about practical problems. Literacy Narrative? He sees a seminar with a nice title: The Theory of Gears. So he goes. The speaker stands up and begins, The theory of gears with a real number of teeth is well known . When a statistician passes the term papers, airport security check, they discover a bomb in his bag. He explains. Statistics shows that the probability of a bomb being on literacy narrative essays, an airplane is 1/1000. Term Papers? However, the chance that there are two bombs at one plane is letter 1/1000000. So, I am much safer. What is the difference between a Psychotic, a Neurotic and a mathematician? A Psychotic believes that 2+2=5. A Neurotic knows that 2+2=4, but it kills him.
A mathematician simply changes the base. Q: What will a logician choose: a half of an egg or eternal bliss in the afterlife? A: A half of an egg! Because nothing is better than eternal bliss in the afterlife, and warming term papers, a half of an egg is better than nothing. A physicist has been conducting experiments and has worked out a set of equations which seem to explain his data. He asks a mathematician to check them.
A week later, the mathematician calls I'm sorry, but your equations are complete nonsense. But these equations accurately predict results of in india, experiments. Are you sure they are completely wrong? To be precise, they are not always a complete nonsense. But the effects papers, only case in which they are true is the trivial one where the field is Archimedean. A mathematician belives nothing until it is proven. A physicist believes everything until it is proven wrong. A chemist doesn't care.
biologist doesn't understand the question. An engineer and a topologist were locked in the rooms for on regionalism in india, a day with a can of food but without an opener. Effects Term Papers? At the end of the day, the engineer is sitting on the floor of his room and eating from the open can: He threw it against the walls until it cracked open. In the mathematician's room, the essay in india, can is still closed but the mathematician has disappeared. There are strange noises coming from inside the can. When it is opened and the mathematician crawls out. Damn! I got a sign wrong. A mathematician has spent ten years trying to prove the effects of global term, Riemann hypothesis.
Finally, he decides to sell his soul to the devil in exchange for a proof. The devil promises to deliver a proof in the four weeks. Half a year later, the devil shows up again - in a rather gloomy mood. I'm sorry, he says. I couldn't prove the multiple regression, hypothesis either. But - and his face lightens up - I think I found a really interesting lemma. To mathematicians, solutions mean finding the answers. But to chemists, solutions are things that are still all mixed up.
These sketches demonstrate how desperately we want to push the math into the public education, and the struggle and papers, passion of math. My Hero Jesus? students. The Evolution of papers, Math Teaching 1960s: A peasant sells a bag of multiple regression, potatoes for $10. His costs amount to 4/5 of his selling price. What is his profit? 1970s: A farmer sells a bag of potatoes for warming term papers, $10.
His costs amount to 4/5 of his selling price, that is, $8. What is his profit? 1970s (new math): A farmer exchanges a set P of potatoes with set M of christ essay, money. The cardinality of the set M is equal to 10, and of global papers, each element of M is worth $1. Draw ten big dots representing the elements of M. The set C of production costs is composed of two big dots less than the set M. Cover Store? Represent C as a subset of M and give the answer to warming, the question: What is the cardinality of the set of essay, profits? 1980s: A farmer sells a bag of effects of global warming term papers, potatoes for essay on regionalism, $10.
His production costs are $8, and his profit is $2. Underline the word potatoes and discuss with your classmates. 1990s: A farmer sells a bag of potatoes for $10. Of Global Term? His or her production costs are 0.80 of in india, his or her revenue. On your calculator, graph revenue vs. costs. Run the POTATO program to effects, determine the profit. Discuss the result with students in your group. Jesus Christ? Write a brief essay that analyzes this example in the real world of economics. (Anon: adapted from The American Mathematical Monthly, Vol.
101, No. 5, May 1994 (Reprinted by STan Kelly-Bootle in Unix Review, Oct 94) Top ten excuses for not doing homework: I accidentally divided by zero and my paper burst into flames. Term Papers? Isaac Newton's birthday. I could only get arbitrarily close to thesis, my textbook.
I couldn't actually reach it. I have the proof, but there isn't room to write it in this margin. I was watching the World Series and got tied up trying to prove that it converged. Effects Term? I have a solar powered calculator and it was cloudy. I locked the paper in my trunk but a four-dimensional dog got in and ate it. Thesis Paper? I couldn't figure out whether i am the square of negative one or i is the effects of global warming term papers, square root of negative one. I took time out to snack on a doughnut and and interpretive, a cup of coffee. I spent the rest of the night trying to effects of global warming papers, figure which one to dunk.
I could have sworn I put the homework inside a Klein bottle, but this morning I couldn't find it. Cover Store? Warning! It is against the rule to term papers, use these excuses in my classes! A. Ch. A professor's enthusiasm for teaching precalculus varies inversely with the likelihood of his having to do it. A student comes to the department with a shiny new cup, the sort of which you get when having won something. He explained: I won it in thesis research the MD Math Contest. They asked what 7 + 7 is.
I said 12 and effects term, got 3rd place! Two male mathematicians are in a bar. The first one says to the second that the average person knows very little about basic mathematics. The second one disagrees, and claims that most people can cope with a reasonable amount of math. The first mathematician goes off to literacy narrative essays, the washroom, and in his absence the second calls over the waitress.
He tells her that in a few minutes, after his friend has returned, he will call her over and ask her a question. All she has to do is answer one third x cubed. She repeats one thir -- dex cue? He repeats one third x cubed. Her: `one thir dex cuebd'? Yes, that's right, he says. So she agrees, and goes off mumbling to herself, one thir dex cuebd. . The first guy returns and the second proposes a bet to of global warming term, prove his point, that most people do know something about basic math. My Hero Jesus Essay? He says he will ask the effects warming term papers, blonde waitress an paper, integral, and effects, the first laughingly agrees. The second man calls over thesis research paper, the waitress and asks what is the integral of x squared?.
The waitress says one third x cubed and while walking away, turns back and says over her shoulder plus a constant! A mathematician, native Texan, once was asked in his class: What is effects warming mathematics good for? He replied: This question makes me sick. Like when you show somebody the Grand Canyon for the first time, and he asks you `What's is multiple regression research paper good for?' What would you do? Why, you would kick the effects warming, guy off the cliff. A somewhat advanced society has figured how to my hero essay, package basic knowledge in pill form. A student, needing some learning, goes to the pharmacy and term papers, asks what kind of knowledge pills are available. Personal Literacy Narrative Essays? The pharmacist says Here's a pill for English literature. The student takes the pill and swallows it and has new knowledge about of global papers English literature! What else do you have? asks the student.
Well, I have pills for art history, biology, and world history, replies the pharmacist. The student asks for these, and swallows them and has new knowledge about those subjects. Then the student asks, Do you have a pill for math? The pharmacist says Wait just a moment, and goes back into essay on regionalism in india the storeroom and brings back a whopper of papers, a pill and plunks it on the counter. I have to take that huge pill for math? inquires the student. The pharmacist replied Well, you know math always was a little hard to swallow. Golden rule for math teachers: You must tell the truth, and nothing but the truth, but not the whole truth. A math professor is thesis argumentative paper one who talks in someone else's sleep. Q:What do you get when you add 2 apples to 3 apples?
A:Answer: A senior high school math problem. Teacher: Now suppose the effects warming term, number of sheep is x . Student: Yes sir, but what happens if the number of sheep is research paper not x ? Mathematician U. was a great friend of his five-year old grandson. They discussed everything including math and effects of global term papers, U. was very proud of the boys math talents. The child went to kindergarten; In two weeks the he ask U.to help with the cover letter store, difficult math problem: There are four airplanes flying, then two more airplanes join them. How many airplanes are flying now? U. was very disappointed by the simplicity of the problem. What confuses you? he asked. The child says: I know, of warming papers, course, that 4 + 2 =6, but I cannot figure out what the airplanes have do with this! A lecturer tells some students to argumentative, learn the phone-book by heart.
The mathematicians are baffled: `By heart? You kidding?' The mathematicians are baffled: `By heart? You kidding?' The physics-students ask: `Why?' The engineers sigh: `Do we have to?' The chemistry-students ask: `Till next Monday?' The accounting-students (scribbling): `Till tomorrow?' The laws-students answer: `We already have.' The medicine-students ask: `Should we start on the Yellow Pages?'
Quotes from effects of global warming, math students and my hero, lecturers This is a one line proof. if we start sufficiently far to the left. The problems for the exam will be similar to the discussed in the class. Of course, the numbers will be different. Warming Papers? But not all of them. Pi will still be 3.14159. Violets are blue,
Greens' functions are boring. And so are Fourier transforms. Sex and drugs? They're nothing compared with a good proof! Yeah, I used to think it was just recreational. then I started doin' it during the multiple analysis paper, week. Effects Of Global Warming? you know, simple stuff: differentiation, kinematics. Then I got into jesus integration by parts. I started doin' it every night: path integrals, holomorphic functions. Now I'm on diophantine equations and sinking deeper into transfinite analysis. Don't let them tell you it's just recreational. Fortunately, I can quit any time I want.
He was restless during the days and couldn't sleep at night - always trying to solve his problem. When he had finally done it, he wasn't happy: he calls himself a complete idiot and throws all his notes into warming papers the garbage. Then he said, he really enjoyed it. Do you love your math more than me? Of course not, dear - I love you much more. OK. Let R be the cover store, set of all lovable objects. A graduate student of mathematics who used to come to of global warming term, the University on foot every day arrives one day on a fancy new bicycle. Where did you get the bike from? his friends asked.
It's a `thank you' present, he explains, from that freshman girl I've been tutoring. Yesterday she called me and told that she had passed her math final and wanted to drop by to thank me in person. She arrived at my place on cover, her bicycle. When I had let her in, she took all her clothes off, smiled at me, and said: `You can get from me whatever you desire!' One of his friends remarks: You made a really smart choice when you took the bicycle. Yeah, another friend adds, just imagine how silly you would have looked in of global warming term a girl's clothes - and they wouldn't have fit you anyway! 4. Seminar semantics, etc. Next passages contain little professional secrets. They reflect the conflict between the dreams of multiple regression analysis research paper, classical clear presentations, the complexity of modern math problems, and the survival tactics of the warming term papers, authors.
Now we'll prove the theorem. In fact I'll prove it all by myself. How to prove it. Guide for lecturers. Proof by vigorous handwaving: Works well in a classroom or seminar setting.
Proof by forward reference: Reference is usually to essay on regionalism, a forthcoming paper of the author, which is of global term often not as forthcoming as at first. Proof by funding: How could three different government agencies be wrong? Proof by example: The author gives only the case n = 2 and suggests that it contains most of the ideas of the general proof. Proof by omission: The reader may easily supply the details or The other 253 cases are analogous Proof by deferral: We'll prove this later in the course. Proof by picture: A more convincing form of proof by example. Narrative? Combines well with proof by omission. Proof by effects of global warming term papers intimidation: Trivial. Proof by adverb: As is quite clear, the elementary aforementioned statement is obviously valid.
Proof by seduction: Convince yourself that this is true! Proof by cumbersome notation: Best done with access to at least four alphabets and special symbols. Proof by exhaustion: An issue or two of a journal devoted to your proof is useful. Proof by obfuscation: A long plotless sequence of true and/or meaningless syntactically related statements. Proof by jesus essay wishful citation: The author cites the negation, converse, or generalization of a theorem from the of global term papers, literature to support his claims. Proof by eminent authority: I saw Karp in the elevator and he said it was probably NP- complete. Proof by personal communication: Eight-dimensional colored cycle stripping is NP-complete [Karp, personal communication]. Proof by reduction to the wrong problem: To see that infinite-dimensional colored cycle stripping is decidable, we reduce it to personal literacy essays, the halting problem.
Proof by reference to inaccessible literature: The author cites a simple corollary of a theorem to be found in a privately circulated memoir of the Slovenian Philological Society, 1883. Proof by importance: A large body of effects of global warming papers, useful consequences all follow from the proposition in question. Proof by accumulated evidence: Long and thesis argumentative, diligent search has not revealed a counterexample. Proof by cosmology: The negation of the effects of global warming, proposition is unimaginable or meaningless. Popular for proofs of the existence of God. Proof by mutual reference: In reference A, Theorem 5 is said to follow from Theorem 3 in reference B, which is shown to follow from Corollary 6.2 in reference C, which is an easy consequence of Theorem 5 in reference A. Proof by metaproof: A method is multiple analysis given to construct the of global term, desired proof. The correctness of the method is proved by my hero essay any of these techniques. Proof by vehement assertion: It is warming papers useful to have some kind of authority relation to the audience.
Proof by ghost reference: Nothing even remotely resembling the cited theorem appears in the reference given. Proof by semantic shift: Some of the standard but inconvenient definitions are changed for the statement of the result. Proof by appeal to intuition: Cloud-shaped drawings frequently help here. Dictionary of Definitions of Terms Commonly Used in Math. lectures. The following is a guide to essay on regionalism in india, terms which are commonly used but rarely defined.
In the search for proper definitions for these terms we found no authoritative, nor even recognized, source. Thus, we followed the effects papers, advice of mathematicians handed down from time immortal: Wing It. Analysis Research Paper? CLEARLY: I don't want to write down all the in- between steps. TRIVIAL: If I have to show you how to warming term papers, 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. Essay On Regionalism In India? RECALL: I shouldn't have to tell you this, but for those of you who erase your memory tapes after every test.
WLOG (Without Loss Of Generality): I'm not about to do all the possible cases, so I'll do one and effects of global papers, let you figure out the rest. IT CAN EASILY BE SHOWN: Even you, in your finite wisdom, should be able to prove this without me holding your hand. CHECK or CHECK FOR YOURSELF: This is the boring part of the proof, so you can do it on my hero christ essay, your own time. SKETCH OF A PROOF: I couldn't verify all the details, so I'll break it down into the parts I couldn't prove. HINT: The hardest of effects of global warming papers, several possible ways to do a proof. Letter Store? BRUTE FORCE (AND IGNORANCE): Four special cases, three counting arguments, two long inductions, and a partridge in a pair tree. Effects Of Global Warming Term Papers? 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 matter and is less than ten lines long. Cover Store? SIMILARLY: At least one line of the proof of this case is the same as before. Effects Of Global Term Papers? CANONICAL FORM: 4 out of 5 mathematicians surveyed recommended this as the final form for my hero christ, their students who choose to finish. Effects Term? TFAE (The Following Are Equivalent): If I say this it means that, and if I say that it means the regression analysis research, other thing, and effects of global papers, 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 essay in india all), but if I stated it right (or at all), then the of global warming term papers, rest of this follows. TWO LINE PROOF: I'll leave out everything but the conclusion, you can't question 'em if you can't see 'em. BRIEFLY: I'm running out of time, so I'll just write and multiple regression analysis, talk faster. LET'S TALK THROUGH IT: I don't want to write it on term papers, the board lest I make a mistake. Argumentative Research? PROCEED FORMALLY: Manipulate symbols by the rules without any hint of their true meaning (popular in pure math courses). QUANTIFY: I can't find anything wrong with your proof except that it won't work if x is a moon of effects term papers, Jupiter (Popular in applied math courses). PROOF OMITTED: Trust me, It's true.
Traditional - contemporary math dictionary. Professional secrets. Thesis? The highest moments in the life of a mathematician are the first few moments after one has proved the result, but before one finds the mistake. Golden rule of deriving: never trust any result that was proved after 11 PM. The professional quality of a mathematician is inversely proportional to the importance it attaches to space and equipment. Relations between pure and effects papers, applied mathematicians are based on trust and understanding. Namely, pure mathematicians do not trust applied mathematicians, and applied mathematicians do not understand pure mathematicians. How dare of you to think that I am an analyst! Some mathematicians become so tense these days that they that they do not go to sleep during seminars. If I have seen farther than others, it is because I was standing on the shoulders of giants.
In the sciences, we are now uniquely privileged to sit side by side with the giants on whose shoulders we stand. If I have not seen as far as others, it is because giants were standing on my shoulders. Mathematicians stand on each other's shoulders. Mathematicians stand on each other's shoulders while computer scientists stand on each other's toes. It has been said that physicists stand on one another's shoulders. Narrative Essays? If this is the case, then programmers stand on one another's toes, and effects warming term papers, software engineers dig each other's graves. These days, even the most pure and abstract mathematics is in danger to on regionalism, be applied. The reason that every major university maintains a department of of global papers, mathematics is that it is cheaper to descartes critical and interpretive essays, do this than to effects of global papers, institutionalize all those people. Here, the powerful mathematical methods are successively applied to thesis argumentative research, the real life problems.
All positive integers are interesting. Assume the contrary. Then there is a lowest non-interesting positive integer. But, hey, that's pretty interesting! A contradiction. All positive integers are boring.
Assume the contrary. Then there is a lowest non-boring positive integer. Who cares! Mathematicians have announced the existence of a new whole number which lies between 27 and 28. Effects Papers? We don't know why it's there or what it does, says Cambridge mathematician, Dr.
Hilliard Haliard, we only know that it doesn't behave properly when put into personal literacy narrative essays equations, and that it is divisible by six, though only effects, once. There are two groups of people in the world; those who believe that the world can be divided into two groups of people, and those who don't. Theorem: The world is divided into two classes: people who say The world is divided into multiple analysis two classes, and people who say: The world is divided into two classes: people who say: The world is warming term papers divided into two classes, and people who say: The world is divided into cover letter two classes: people who say . There are three kinds of people in the world; those who can count and effects of global warming papers, those who can't. There are 10 kinds of critical and interpretive, people in the world, those who understand binary math, and warming, those who don't. There really are only two types of people in the world, those that DON'T. DO MATH, and in india, those that take care of them. The world is everywhere dense with idiots. A cat has nine tails.
No cat has eight tails. A cat has one tail more than no cat. Therefore, a cat has nine tails. The less you know, the effects of global, more you make. Proof: Postulate 1: Knowledge is my hero christ Power . Postulate 2: Time is warming term Money . As every engineer knows: Power = Work / Time. And since Knowledge = Power and Time = Money. It is therefore true that Knowledge = Work / Money . Solving for Money , we get:
Money = Work / Knowledge. Thus, as Knowledge approaches zero, Money approaches infinity, regardless of the amount of Work done. Q: How do you tell that you are in the hands of the Mathematical Mafia? A: They make you an offer that you can't understand. The cherry theorem (a puzzle that reminds some of calculus theorems) Q: What is a small, red, round thing that has a cherry pit inside? Notes on the horse colors problem. Lemma 1. All horses are the same color. Essays? (Proof by induction) Proof.
It is obvious that one horse is the same color. Let us assume the proposition P(k) that k horses are the same color and use this to imply that k+1 horses are the same color. Of Global Papers? Given the my hero jesus, set of k+1 horses, we remove one horse; then the effects of global, remaining k horses are the same color, by hypothesis. We remove another horse and replace the first; the k horses, by hypothesis, are again the same color. We repeat this until by critical and interpretive essays exhaustion the k+1 sets of k horses have been shown to effects of global warming, be the same color. Cover? It follows that since every horse is the same color as every other horse, P(k) entails P(k+1) . Effects Of Global Term? But since we have shown P(1) to essay, be true, P is true for all succeeding values of k , that is, all horses are the same color. Theorem 1. Every horse has an infinite number of legs. (Proof by intimidation.) Proof. Horses have an even number of legs.
Behind they have two legs and in of global warming term front they have fore legs. This makes six legs, which is literacy narrative essays certainly an odd number of effects papers, legs for a horse. But the only number that is both odd and even is jesus christ infinity. Therefore horses have an effects of global warming papers, infinite number of legs. Critical Essays? Now to show that this is general, suppose that somewhere there is a horse with a finite number of legs. Of Global Warming Papers? But that is a horse of another color, and by the lemma that does not exist. Corollary 1. Cover? Everything is the same color. Proof. The proof of lemma 1 does not depend at all on the nature of the object under consideration.
The predicate of the antecedent of the universally-quantified conditional 'For all x , if x is a horse, then x is the same color,' namely 'is a horse' may be generalized to 'is anything' without affecting the validity of the of global warming term papers, proof; hence, 'for all x , if x is anything, x is the same color.' Corollary 2. Everything is white. Proof. Descartes Critical Essays? If a sentential formula in effects warming term papers x is logically true, then any particular substitution instance of jesus christ, it is a true sentence. In particular then: 'for all x , if x is an elephant, then x is the same color' is true. Now it is of global manifestly axiomatic that white elephants exist (for proof by blatant assertion consult Mark Twain 'The Stolen White Elephant'). Therefore all elephants are white. By corollary 1 everything is white.
Theorem 2. Alexander the literacy essays, Great did not exist and effects of global term papers, he had an essays, infinite number of limbs. Proof. We prove this theorem in two parts. First we note the obvious fact that historians always tell the truth (for historians always take a stand, and therefore they cannot lie). Hence we have the historically true sentence, 'If Alexander the Great existed, then he rode a black horse Bucephalus.' But we know by corollary 2 everything is white; hence Alexander could not have ridden a black horse. Since the consequent of the conditional is of global false, in order for the whole statement to be true the antecedent must be false. Hence Alexander the essay in india, Great did not exist. We have also the historically true statement that Alexander was warned by an oracle that he would meet death if he crossed a certain river. He had two legs; and effects term, 'forewarned is four-armed.' This gives him six limbs, an even number, which is certainly an odd number of limbs for jesus christ, a man.
Now the only number which is even and odd is infinity; hence Alexander had an infinite number of effects of global term papers, limbs. Essay On Regionalism In India? We have thus proved that Alexander the effects warming, Great did not exist and that he had an infinite number of limbs. According to multiple research, statistics, there are 42 million alligator eggs laid every year. Of those, only about half get hatched. Of those that hatch, three fourths of them get eaten by predators in warming term papers the first 36 days. And of the rest, only analysis research, 5 percent get to be a year old for one reason or another. Isn't statistics wonderful? If it weren't for effects term, statistics, we'd be eaten by jesus alligators! Let's play with math objects! An insane mathematician gets on a bus and starts threatening everybody: I'll integrate you!
I'll differentiate you. Everybody gets scared and runs away. Only one lady stays. The guy comes up to her and says: Aren't you scared, I'll integrate you, I'll differentiate you. The lady calmly answers: No, I am not scared, I am e^x . More advanced and more New York style story: A constant function and e^x are walking on Broadway. Then suddenly the constant function sees a differential operator approaching and runs away. Effects Warming? So e^x follows him and asks why the hurry. Well, you see, there's this differential operator coming this way, and when we meet, he'll differentiate me and nothing will be left of me. Ah, says e^x , he won't bother ME, I'm e to the x ! and and interpretive, he walks on.
Of course he meets the differential operator after a short distance. The number you have dialed is imaginary. Please rotate your phone 90 degrees and try again. The shortest math joke: let epsilon be 0. (For native LaTex speakers: $$lim_ 3^2 = 16$$) 1 + 1 =3 , for sufficiently large one's. The combination of the Einstein and effects warming term papers, Pythagoras discoveries: The limit as n goes to infinity of sin (x) /n is 6 . Proof: cancel the n in the numerator and denominator.
As x goes to zero, the letter, limit of papers, 8 /x is 00 (infinity), then the limit (as x goes to zero) of Z /x is thesis research paper N. Examples of inverse problems: Q: To what question is the answer 9W. A: Dr. Wiener, do you spell your name with a V? Q: To what question is the of global warming term papers, answer Dr.
Livingstone, I presume. A: What is your full name, Dr. Presume? Q: how many times can you subtract 7 from 83, and multiple analysis, what is left afterwards? A: I can subtract it as many times as I want, and it leaves 76 every time.
A Neanderthal child rode to school with a boy from term papers, Hamilton. When his mother found out she said, What did I tell you? If you commute with a Hamiltonian you'll never evolve! Pope has settled the continuum hypothesis! He has declared that cardinals above 80 have no powers. In modern mathematics, algebra has become so important that numbers will soon only have symbolic meaning. A circle is a round straight line with a hole in the middle.
In the topologic hell the beer is packed in Klein's bottles. He thinks he's really smooth, but he's only C^1. Moebius strip no-wear belt drive! (Please see other side for literacy essays, warranty details.) Q: Why couldn't the moebius strip enroll at the school? A: They required an orientation. Q: What is the world's longest song?
A: Aleph-nought Bottles of Beer on the Wall. Q: Why do Computer Scientists get Halloween and Christmas mixed up? A: Because Oct. Effects Of Global Term? 31 = Dec. Analysis Paper? 25. Q: Why did the chicken cross the Moebius strip? A: To get to the other . er, um . Q: Why did the mathematician name his dog Cauchy? A: Because he left a residue at every pole. Q: What do you get when you cross an elephant and a banana? A: | elephant | * | banana | * sin(theta)
Q: What do you get if you cross a mosquito with a mountain climber. A: You can't cross a vector with a scalar. Q: What is a compact city? A: It's a city that can be guarded by finitely many near-sighted policemen. Two mathematicians are studying a convergent series. Effects Of Global Papers? The first one says: Do you realize that the series converges even when all the terms are made positive?
The second one asks: Are you sure? Absolutely! Q: What does the multiple analysis paper, zero say to the the eight? Life is complex: it has both real and effects of global warming, imaginary components. Math problems? Call 1-800-[(10x)(13i)2]-[sin(xy)/2.362x]. Divide fourteen sugar cubes into three cups of coffee so that each cup has an odd number of sugar cubes in it. That's easy: one, one, and twelve.
But twelve isn't odd! Twelve is an odd number of cubes to put in a cup of multiple regression analysis paper, coffee. A statistician can have his head in an oven and his feet in ice, and he will say that on the average he feels fine. Q: Did you hear the one about the statistician? The light bulb problem.
Q: How many mathematicians does it take to screw in a light bulb? A1: None. It's left to term, the reader as an exercise. A2: None. A mathematician can't screw in a light bulb, but he can easily prove the work can be done. A3: One. He gives it to four programmers, thereby reducing the problem to the already solved (ask a programmer, how) A4: The answer is intuitively obvious. A5: Just one, once you've managed to present the problem in letter terms he/she is warming term papers familiar with. A6: In earlier work, Wiener  has shown that one mathematician can change a light bulb.
If k mathematicians can change a light bulb, and if one more simply watches them do it, then k+1 mathematicians will have changed the light bulb. Therefore, by critical induction, for all n in the positive integers, n mathematicians can change a light bulb.  Weiner, Matthew P. How many mathematical logicians does it take to replace a lightbulb?? None: They can't do it, but they can prove that it can be done. How many numerical analysts does it take to effects of global warming papers, replace a lightbulb?? 3.9967: (after six iterations). How many classical geometers does it take to replace a lightbulb?? None: You can't do it with a straight edge and a compass. How many constructivist mathematicians does it take to replace a lightbulb??
None: They do not believe in infinitesimal rotations. How many simulationists does it take to replace a lightbulb?? Infinity: Each one builds a fully validated model, but the light actually never goes on. How many topologists does it take to my hero jesus christ, screw in a lightbulb?? Just one. But what will you do with the doughnut? How many analysts does it take to screw in warming a lightbulb?? Three: One to prove existence, one to prove uniqueness and one to narrative, derive a nonconstructive algorithm to do it. How many Bourbakists does it take to replace a lightbulb: ? Changing a lightbulb is a special case of a more general theorem concerning the maintain and repair of an electrical system. To establish upper and lower bounds for the number of personnel required, we must determine whether the sufficient conditions of Lemma 2.1 (Availability of personnel) and those of Corollary 2.3.55 (Motivation of personnel) apply.
Iff these conditions are met, we derive the result by an application of the of global warming term papers, theorems in Section 3.1123. The resulting upper bound is, of course, a result in an abstract measure space, in the weak-* topology. How many professors does it take to replace a lightbulb?? One: With eight research students, two programmers, three post-docs and descartes critical and interpretive essays, a secretary to help him. How many university lecturers does it take to replace a lightbulb?? Four: One to do it and effects of global papers, three to co-author the paper. How many graduate students does it take to replace a lightbulb?? Only one: But it takes nine years. How many math department administrators does it take to christ, replace a lightbulb? None: What was wrong with the old one then.
Aerodynamicists do it in drag. Algebraists do it by symbolic manipulation. Algebraists do it in of global warming papers a ring, in fields, in groups. Analysts do it continuously and smoothly. Applied mathematicians do it by computer simulation. Banach spacers do it completely.
Bayesians do it with improper priors. Catastrophe theorists do it falling off part of a sheet. Combinatorists do it as many ways as they can. Complex analysts do it between the sheets. Computer scientists do it depth-first. Cosmologists do it in the first three minutes. Decision theorists do it optimally. Functional analysts do it with compact support. Galois theorists do it in a field. Game theorists do it by dominance or saddle points.
Geometers do it with involutions. Geometers do it symmetrically. Graph theorists do it in personal narrative four colors. Hilbert spacers do it orthogonally. Large cardinals do it inaccessibly. Linear programmers do it with nearest neighbors. Logicians do it by choice, consistently and completely. Logicians do it incompletely or inconsistently.
(Logicians do it) or [not (logicians do it)]. Number theorists do it perfectly and rationally. Mathematical physicists understand the theory of how to of global warming term, do it, but have difficulty obtaining practical results. Pure mathematicians do it rigorously. Quantum physicists can either know how fast they do it, or where they do it, but not both. Real analysts do it almost everywhere. Ring theorists do it non-commutatively.
Set theorists do it with cardinals. Statisticians probably do it. Topologists do it openly, in multiply connected domains. Variationists do it locally and globally. Cantor did it diagonally. Fermat tried to do it in the margin, but couldn't fit it in.
Galois did it the night before. Mðbius always does it on the same side. Markov does it in chains. Newton did it standing on the shoulders of giants. Turing did it but couldn't decide if he'd finished. These jokes are sometimes stupid, but still funny. Math and Alcohol don't mix, so. PLEASE DON'T DRINK AND DERIVE. Motto of the society: Mathematicians Against Drunk Deriving.
Q: What's the contour integral around Western Europe? A: Zero, because all the Poles are in Eastern Europe! Addendum: Actually, there ARE some Poles in Western Europe, but they are removable! One day, Jesus said to his disciples: The Kingdom of Heaven is like 3x squared plus 8x minus 9. St. Thomas looked very confused and asked St. Peter: What does the teacher mean? St.Peter replied: Don't worry - it's just another one of on regionalism, his parabolas.
Q: What is the area of a circle? R: Pie are not square. Pie are round. Cornbread are square. Q:What is a proof? A: One-half percent of alcohol. Q:What is a dilemma? A: A lemma that proves two results. Q: What's nonorientable and warming papers, lives in the sea?
Q: What's yellow and research paper, equivalent to the Axiom of Choice. Q: What's purple and commutes? A: An abelian grape. Q: What's yellow, linear, normed and effects of global warming, complete? A: A Bananach space. Q: What's a polar bear?
A: A rectangular bear after a coordinate transform. Some say the pope is the argumentative paper, greatest cardinal. But others insist this cannot be so, as every pope has a successor. Q: How many light bulbs does it take to change a light bulb? A: One, if it knows its own Goedel number. Q: What does the little mermaid wear? Was General Calculus a Roman war hero? What's your favorite thing about mathematics?
Knot theory. Papers? Yeah, me neither. Noah's Ark lands after The Flood and personal literacy, Noah releases all the animals, saying, Go forth and multiply. Of Global? Several months pass and cover letter store, Noah decides to check up on the animals. All are doing fine except a pair of snakes. What's the effects of global warming term, problem? asks Noah. Cut down some trees and let us live there, say the snakes. Noah follows their advice. Several more weeks pass and Noah checks up on the snakes again. He sees lots of little snakes; everybody is happy. Noah says, So tell me how the trees helped.
Certainly, reply the thesis research paper, snakes. We're adders, and we need logs to multiply. Q: Why didn't Newton discover group theory? A: Because he wasn't Abel. In Alaska, where it gets very cold, pi is of global only 3.00. As you know, everything shrinks in the cold. They call it Eskimo pi.
How do you prove in three steps that a sheet of cover letter, paper is a lazy dog? 1. A sheet of paper is an ink-lined plane. 2. An inclined plane is term papers a slope up. 3. A slow pup is a lazy dog. A geometer went to descartes and interpretive essays, the beach to effects of global warming term papers, catch the rays and became a TanGent. Life is complex. It has real and my hero jesus christ essay, imaginary components. A group of Polish tourists is effects flying on a small airplane through the jesus christ essay, Grand Canyon on a sightseeing tour. Effects Term? The tour guide announces: On the right of the airplane, you can see the famous Bright Angle Falls. The tourists leap out of their seats and crowd to the windows on the right side. Multiple Research Paper? This causes a dynamic imbalance, and the plane violently rolls to the side and crashes into the canyon wall.
All aboard are lost. The moral to this episode is: always keep the poles off the right side of the plane. Next several stories are attributed to real mathematicians. For most of papers, them, it was impossible to check the literacy narrative, truthfulness of the story. Therefore the effects of global, names are often removed.
In 1915, Emma Noether arrived in Göttingen but was denied the private-docent status. The argument was that a woman cannot attend the jesus, University senate (the faculty meetings). Hilbert's reaction was: Gentlemen! There is effects nothing wrong to have a woman in the senate. Senate is on regionalism in india not a bath. After Laplace completed his masterpiece Mecanique Celeste (Mechanics of the Heavens) he presented a copy to his friend Napoleon. Warming Term Papers? Napoleon, who also was a mathematician, after going through the book called in Laplace and said to him: You have written a book about Mechanics of the Heavens without mentioning God? Laplace replied: Sire, I had no need of store, that hypothesis. The following problem can be solved either the easy way or the hard way.
Two trains 200 miles apart are moving toward each other; each one is going at a speed of 50 miles per hour. A fly starting on the front of one of of global warming term papers, them flies back and literacy narrative, forth between them at a rate of 75 miles per of global warming term, hour. And Interpretive? It does this until the trains collide and crush the fly to death. What is the total distance the fly has flown? The fly actually hits each train an infinite number of times before it gets crushed, and effects term, one could solve the literacy narrative essays, problem the hard way with pencil and paper by summing an infinite series of warming term, distances. Literacy Narrative Essays? The easy way is as follows: Since the trains are 200 miles apart and each train is going 50 miles an hour, it takes 2 hours for the trains to collide. Therefore the fly was flying for two hours. Since the fly was flying at a rate of 75 miles per hour, the fly must have flown 150 miles. That's all there is to it. When this problem was posed to John von Neumann, he immediately replied, 150 miles. It is of global warming very strange, said the poser, but nearly everyone tries to essay on regionalism, sum the warming term, infinite series.
What do you mean, strange? asked Von Neumann. That's how I did it! Another von Neumann quote : Young man, in essay on regionalism in india mathematics you don't understand things, you just get used to effects warming term, them. The mathematician S. had to move to a new place. His wife didn't trust him very much, so when they stood down on the street with all their things, she asked him to watch their ten trunks, while she get a taxi. Some minutes later she returned. Said the husband: I thought you said there were ten trunks, but I've only counted to thesis paper, nine. The wife said: No, they're TEN! But I have counted them: 0, 1, 2, . N. Of Global Warming Term Papers? had the personal narrative essays, habit of simply writing answers to homework assignments on the board (the method of solution being, of course, obvious) when he was asked how to solve problems.
One time one of his students tried to get more helpful information by of global term papers asking if there was another way to solve the problem. N. looked blank for a moment, thought, and then answered, Yes. In his lecture, ** formulated a theorem and said: The proof is essay obvious. Then he thought for a minute, left the of global warming term, lecture room, returned after 15 minutes and cover letter, happily concluded: Indeed, it is obvious! A famous mathematician was to give a keynote speech at a conference. Asked for an advance summary, he said he would present a proof of Fermat's Last Theorem -- but they should keep it under their hats.
When he arrived, though, he spoke on a much more prosaic topic. Effects Of Global Papers? Afterwards the critical essays, conference organizers asked why he said he'd talk about the theorem and then didn't. Warming Papers? He replied this was his standard practice, just in case he was killed on the way to the conference. A mathematician about descartes and interpretive essays his late colleague: He made a lot of mistakes, but he made them in a good direction. I tried to copy this, but I found out that it is very difficult to make good mistakes.
This story is attributed to Professor Lev Loytiansky, the stage is in Soviet Union in thirties or forties. L. organized the seminar in hydrodynamics in his University. Among the regular attendees there were two men in the uniform, obviously military engineers. They never discussed the problems they were working on. Of Global Warming? But one day they ask L. to help with a math. problem. They explained that the solution of a certain equation oscillated and asked how they should change the on regionalism in india, coefficients to make it monotonic.
L. looked on the equation and said: Make the wings longer! Students asked ** to exclude a part of the effects term papers, course from the final exam. ** agreed. Encouraged by the easy success, the students asked to essay, skip another part of the course, and ** agreed again, and then again. However, in the end of the term he did include all this material in the exam. The class loudly complained: Dr **, you promised us to skip this stuff! ** answered: Yes, I did. But I lied!
Ernst Eduard Kummer (1810-1893), a German algebraist, was sometimes slow at calculations.. Whenever he had occasion to do simple arithmetic in class, he would get his students to help him. Once he had to find 7 x 9. Seven times nine, he began, Seven times nine is effects papers er -- ah --- ah -- seven times nine is. . . . Sixty-one, a student suggested. On Regionalism In India? Kummer wrote 61 on of global papers, the board. Sir, said another student, it should be sixty-nine. Come, come, gentlemen, it can't be both, Kummer exclaimed. It must be one or the my hero, other.
This anecdote is effects papers attributed to Landau (the Russian physicist Lev not the Göttingen mathematician Edmund). Landau's group was discussing a bright new theory, and one of junior colleagues of Landau bragged that he had independently discovered the theory a couple of years ago, but did not bother to publish his finding. I would not repeat this claim if I were you, Landau replied: There is nothing wrong if one has not found. a solution to a particular problem. Paper? However, if one has found it but does not publish it, he shows a poor judgment and papers, inability to understand what important is in thesis paper modern physics. A famous mathematician was to effects of global warming, give a keynote speech at a conference.
Asked for an advance summary, he said he would present a proof of Fermat's Last Theorem -- but they should keep it under their hats. Literacy Essays? When he arrived, though, he spoke on a much more prosaic topic. Afterwards the conference organizers asked why he said he'd talk about the theorem and then didn't. He replied this was his standard practice, just in effects of global term papers case he was killed on the way to the conference. Limericks are always limericks. (The obscene math limericks were mercilessly excluded) A mathematician confided. That the Mobius band is one-sided. And you'll get quite a laugh.
If you cut one in half. 'Cause it stays in one piece when divided. A mathematician named Klein. Thought the Mobius band was divine. Said he: If you glue. The edges of thesis argumentative research paper, two. You'll get a weird bottles like mine. There was a young fellow named Fisk, A swordsman, exceedingly brisk.
So fast was his action, The Lorentz contraction. Reduced his rapier to a disk. 'Tis a favorite project of mine. A new value of pi to assign. I would fix it at 3. For it's simpler, you see,
Than 3 point 1 4 1 5 9. If inside a circle a line. Hits the term, center and goes spine to spine. And the line's length is d the circumference will be. Pi goes on and on and on . And e is just as cursed. I wonder: Which is larger. When their digits are reversed? A challenge for many long ages. Had baffled the my hero jesus christ, savants and sages. Yet at last came the light:
Seems old Fermat was right-- To the effects of global term, margin add 200 pages. If (1+x) (real close to essay on regionalism, 1) Is raised to the power of 1. Over x, you will find. Here's the value defined: Integral z-squared dz. from 1 to the cube root of of global term, 3. times the cosine. of three pi over 9. equals log of the regression analysis research paper, cube root of effects warming term, 'e'.
And it's correct, too. A burleycque dancer, a pip. Named Virginia, could peel in a zip; But she read science fiction. and died of constriction. Attempting a Moebius strip. This poem was written by John Saxon (an author of regression analysis, math textbooks). ((12 + 144 + 20 + (3 * 4^(1/2))) / 7) + (5 * 11) = 9^2 + 0. A Dozen, a Gross and a Score, plus three times the of global term, square root of cover, four, divided by seven, plus five times eleven, equals nine squared and not a bit more. In arctic and warming, tropical climes, the integers, addition, and times, taken (mod p) will yield. a full finite field, as p ranges over the primes.
A graduate student from Trinity. Computed the cube of infinity; But it gave him the fidgets. To write down all those digits, So he dropped math and took up divinity. Chebychev said it and I'll say it again: There's always a prime between n and 2n! A conjecture both deep and profound. Is whether the circle is round;
In a paper by Erdos, written in Kurdish, A counterexample is cover store found. (Note: Erdos is pronounced Air - dish) There once was a number named pi.
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