Tuesday, October 7, 2008
Engagement Wishes To A Friend
Because of my new work commitments , I am forced to temporarily shut down this site. Writing about mathematics
requires an effort that I now see myself not able to perform. The lack of time, in fact, was what caused the unfortunate mistake a few weeks ago.
So, I can not weigh seen the blog as I'd like, Bourbaki is closed until further notice.
Many thanks to all that you have me followed during these two years.
Thursday, September 11, 2008
Slogan Eating Disorder
unicursal to be called those figures can be drawn without lifting the pencil from the paper and without repeating the same line twice. For example:
We've all spent hours and hours of our childhood (especially in math class) trying to build, so by now everyone knows that one of them can be (which?) and the other not.
But there are others, such as these:
The solution, as always in the comments or in a nice story by Euler in a few days.
Menu Always Comes Up Samsung Led
Free Daily In The Market I quote at length, put a picture of me (if I had known I would have combed a bit), and I draw:
can read it by clicking here am from page 4, but the really interesting is in the top three.
Sunday, September 7, 2008
Temporary Blown Head Gasket Repair
On Thursday evening a post went up on pieces of information that has generated considerable controversy . It is not the first time I put the pat to this blog, but it seems that arithmetic errors are minor peccadilloes against the other day.
Tonight, after returning home after a long weekend I've seen ten unmoderated comments, and read and reread my post I realized the mistake he had made (which, however, corrected at the end).
I know that a byte is 8 bits and 8-bit word has 8 letters and therefore, with a byte of information can write up to 256 different words, and so the ASCII code ... etc. I have sufficient training and information to know, but when I wrote this came from just two days without sleep, and mistook the byte = 2 ^ 8 with 8 = 2 ^ 3. An unforgivable error coming from a mathematical computing, which is explained by the odd hours to which I devote myself to writing about these things.
However, the gravest error of the post is not to re-read what you write before publishing it, mandatory standard, which if not followed resulting in an embarrassing lack of rigor.
I ask all who visit this blog my most sincere apologies and promise to put the means to make it not happen again.
The post has remained all these days proque've been away from computers, as I was able to connect has disappeared, like the comments, the most successful (which I appreciate greatly) and not so successful that apart from they said insulting nonsense much higher than mine, I repeat, was an unfortunate accident.
Saturday, August 30, 2008
Non-religious Wedding Ceremony
Typically, science does not form part of what is called General Culture. If you ask anyone by the name of famous scientists, everyone agrees with Einstein and Newton pointed out, perhaps Darwin, and very few Hawking. But if we sum up and call names of mathematicians will be a silent ("Pythagoras?). And yet, the most famous scientist in history, became famous precisely for its discoveries in this field. Newton's greatest contribution to science was a paper on Matemáticas.Isaac Newton was born in the family home in Woolsthorpe, near Nottingham, on Christmas Day 1642, but in continental Europe it was January 4 by the difference in calendars . His father was an illiterate peasant, his mother belonged to the rural petty bourgeoisie and economic position enjoyed a well off. Unfortunately, the father died three months before Isaac was born, and that made the rest of his life.
His mother, a widow before the age of 30, had to marry again, this time with an Anglican priest named Barnabas Smith, who accepted the condition as a wife to get rid of the small Newton, 4 years old. Legend (false) that Newton invented the telescope, and developed his theory on the lens to get to see her mother who had moved to the parsonage a few miles away. Among the papers Newton's posthumous found a handwritten letter which tells an account of sins of those who repent, among which is:
"To have threatened your father and mother Smith to burn them and their house with them inside."
Mrs. Newton (now Smith) was again widowed six years later and returned with his son and three new siblings, but this period of separation caused a deep impression on the boy, who suffered lifelong emotional disorders, rage uncontrollable and a morbid desire to be loved and accepted. However
mother could see in your child your intellectual capacity and arrange for their training suited to their abilities. But Newton said the school more fights, indiscipline and his fondness for taverns and brothels for his brilliant academic results. So at age 17 his mother decided that enough was enough and made him return to the family farm for him to do something useful. As a farmer, Newton was even worse as a student: An absolute disaster. Nevertheless, the boredom led him to the most important habit he acquired in his life: reading and writing. He spent whole days before the books without food or sleep. Completely self taught so learned to speak and write in Latin and Hebrew (persistence in the Bible had to read it in its original language).
After two years of chaos on the farm, Mrs. Newton, a little advice of a cousin who had studied at Trinity College and a lot to get rid of such useless Isaac sent to Cambridge University, he entered Trinity recommended by his uncle. At that time, because of the Civil War of 1641 (which ended with the execution of Charles I and Cromwell's rise) all Cambridge professors were "purged" and replaced by upstarts who do not quite measure up. That was the academic landscape that Newton was found to go to college. For him it was a paradise, could excel in almost no studies esfuerzo, y repartía su tiempo entre la biblioteca y (sobre todo) los burdeles.
Como mamá Newton le había cerrado el grifo del dinero, orientó sus estudios hacia una nueva ciencia que estaba de moda por entonces y que ofrecía las mejores becas: La Óptica, en la que sobresalió, hasta el punto de que se considera a Newton padre de esta ciencia. Complementaba sus ingresos con un trabajillo que no abandonó jamás: Prestamista. Prestaba dinero a sus compañeros y con los intereses que cobraba se pagaba los vicios.
Pero el golpe de suerte de su vida se lo dio la epidemia de peste de 1665, que le hizo regresar a la casa familiar durante casi dos años. Se instaló en su habitación con una montaña de books brought from Cambridge and locked there. In those 20 months Newton developed the basic ideas that would guide all his scientific career. In particular, the theory of gravity (Universal Gravitation). On Newton
are many legends, most of them false, however, the apple story is absolutely true: One autumn night, while resting under an apple tree, saw an apple fall to the ground and wondered why the fruit is always followed this path and not another, then looked up, looked at the moon and wondered why the moon did not follow the example of the apple, but remained stable in the sky instead of crashing against the land. Many people had seen the moon on summer nights, many people had seen apples fall to the ground, but it took a genius to relate the two events.
frenzy was two years, in which Newton was sleeping in periods of 30 - 40 minutes spread over six or seven daily naps missed sitting in his chair. In two years I never used the bed. He worked about 20 hours a day, and this custom has left him in his life. In a letter to Locke admits:
"When I wrote you had not slept for one hour each day from a fortnight ago and for five consecutive nights or a blink. I remember writing, but I do not remember what I said of your book. "
This was undermining their mental health (already shaky) and crisis led him to madness, depression that is repeated at least five times throughout his life. In two of them even burned all his papers.
In the spring of 1667 Newton returned to Cambridge and meets an old friend, Isaac Barrow, another major of mathematics, which is Professor, holder of the Lucasian Chair (later, in the twentieth century would take Stephen Hawking .) Legend has it that Barrow, dazzled by the knowledge and skills of Newton resigned from the chair in favor of his pupil. But that is only a legend, the reality is that Charles II was called Barrow for court astronomer, a position much better paid than the professor and used as a platform to achieve his real ambition: Being dean of Cambridge. The unique, age and knowledge that could occupy that chair was Newton. Newton
always wanted to thrive socially, remember that although his family lived vent, its origins were humble, peasant, and that will close the doors of high society, however it was a professor at Cambridge. Newton wanted to hobnob with the powerful nobles of the time, so I turned to one of the hobbies of his youth to be enforced. It seems that Newton got social recognition among the nobles of the time to organize the best orgies in all of England ..
Newton got his first public position of responsibility as Controller of the Mint, and that also left his mark. He became obsessed with counterfeiters and clippers of coins, wove a network of informants who informed him about the places and people involved in counterfeiting and is documented more than 100 arrests in just about London.
Another feature of Newton's personality was his almost pathological reluctance to publish any of his writings, or books, or articles, or conferences. Never taught anybody his findings until he was absolutely convinced correction, rewritten again and again the results hide intermediate steps and offering only the endpoints, so much so that his writings become cryptic and almost unreadable even for the more initiated. Newton himself said of himself:
"My working method is the same as that of foxes, which are tail erasing tracks left in the field."
What little life that was published after much urging your friends, or through private correspondence. That attitude brought him many problems throughout his life, the best known and more unfortunate is the controversy with Leibniz over the discovery of calculus.
WG Leibniz was a German mathematician, contemporary of Newton. Initially trained as a diplomat and was posted to Paris for peace talks between France and Austria-Hungary for the sovereignty of Alsace and Lorraine. Working sessions were unbearable so you boring, so I ran away and was served in the meetings of the Academy of Sciences of Paris, where he had his first contact with mathematics. From there, a self-taught, following a path different from that of Newton was able to develop all the Differential Calculus ... ten years after it!. However, as Newton had not made public even among his friends (Barrow, for example) Leibniz wrote and published a treatise on the subject completely original. When this new calculation method came to the attention of Newton, English was furious and rushed to publish their own ideas in a monumental work called Principia Mathematica, much more complete and a way to write things much clearer and simpler. The way of Leibniz was simpler, but Newton's notation was more useful. From here set off a bitter controversy between the two geniuses who fell as low as that has gone before in modern science. They exchanged mutual accusations of plagiarism, was insulted in public and private scientific society was divided into supporters of one another. Legend has it (again falsely) that Newton came to write a pamphlet "anonymous" in which Leibniz was accused of being gay, impotent, zoophilic and many other niceties, and Leibniz, in turn, sent some thugs to poison.
Newton revolutionized science and the revolution still persisted in the twentieth century. However, most efforts were devoted to an activity a little less scientific. Obsessed with religion, rationalist methods used and alchemy in search for the presence of God on earth. It is the only research that never left: The proof of the existence of God by chemical means.
Those are the only shadow in the life of a genius, the most important scientist in history and certainly one of the greatest mathematicians who ever lived.
Friday, August 29, 2008
Racing Games Suggestion
First my apologies for all these months without posting. Nearly four and a half months is too long. I must admit that I was flirting with the idea of \u200b\u200bclosing this blog, but ua lucky series of coincidences made me rethink the idea and I decided to go ahead and publish at least once every two weeks. At the moment I am preparing a little something about Newton.
Many thanks for the patience and care. Imitating
Wednesday, April 23, 2008
Gameshark For Pokemon Emerald Rom
These readings are accessible to all audiences, and are able to open any mathematical curiosity:
- The Number Devil by Hans Magnus Ezsenberger. An approach to certain subjects of arithmetic and geometry counted as a collection of short stories: A conversation with a devil child. Essential for both children (from 1 º ESO) and adults.
- aNumber Man, Jonh Allen Paulos. Reflections on the ignorance of basic math concepts such as fractions, basic probability, percentages ... and the consequences (sometimes terrible) that entails. We read in one go and leaves you wanting to read more. It is by far the best popular book I've read mathematics.
- The Fermat's Enigma by Simon Singh. It is a novel based on a BBC documentary about the show in 1993 the little Fermat theorem. A fictionalized journey through the history of algebra and its characters. If you are a reader of novels you should not miss it.
- Alice in Wonderland, by Lewis Carroll. This classic can be read in two ways: as the wonderful story that is sought or mathematical logic. Lewis Carroll, in addition to writing, deacon, photographer and teacher was an authority on mathematical logic, and reflected all logic known to his time on the adventures of Alice following the white rabbit. Discussions with the Cheshire Cat or Mad Hatter are priceless. Even basic concepts forward the theory of relativity many years before Einstein gave them names.
- "The Lady or the Tiger? Raymond Smullyan. Games, quizzes and logic puzzles. For fans of puzzles. A classic.
Monday, April 21, 2008
Magnum Condoms Vs Regular
I propose John (someday I should write about it) the following game:
If we add the numbers six, seven and eight, the sequence becomes:
The answer, as always in the comments or in a post within a week.
Tuesday, April 15, 2008
Dresden Figurine Marks
Today in the newspaper Público, Mauro Entrialgo makes a joke about the speed of the queues at the supermarket.
Shopping in a supermarket that is open five boxes. It is assumed that the five pockets are equally efficient in all the queues there are equal numbers of people. For some reason (delay to pay misbranded articles ,...) there is always a queue that is the quickest and four others are slower. Therefore, the probability of choosing the fastest line is 1 / 5 (one of every five times), ie 20%. In other words, the probability that any row forward faster than yours is 80%. Or that in five times you put in the queue to pay four of them will be another row faster than yours.
Now let's do the reverse analysis: No Whatever the row in which we place ourselves. That row is really only the slowest in 20% of cases (only one out of five times).
The client generally stressed, is not able to do this analysis, one sees that there is another row that is faster than yours and perceived to be wrong to choose from. That, put into words, means that " and touched my slower row."
If instead we have five boxes 10 (imagine the Alcampo the first Friday of the month) the percentages are 10% (to choose the fastest line) and 90% (to pick one that is not the most fast).
With 15 open boxes, the probability to choose the fastest is less than 7% of the time (the exact figure is 6'666 ...%), while the probability of a cash faster than ours soars to nearly 94%. Ie the perception cash was mistaken increases with the number of boxes: how many more boxes open, more people will think that your rank is the slowest. In the case of 15 boxes, 93% of customers think that the line moves too slowly, irrespective of the speed at which it does.
These feelings wrong, come from the fact that most people are not familiar with the most basic concepts of probability. Put another way, namely math makes us happier .
Wednesday, April 9, 2008
Sage Tea In Cold Storage Singapore
As promised, we go with the solutions.
- First:
- The second:
- The third:
Do any of the readers of this blog would like to propose others? We are open to suggestions.
Tuesday, April 8, 2008
Thick Gooey Sticky Brown Discharge
One reason for the low level of high school students in math is totally wrong and twisted view that their teachers have and therefore give them. Most math teachers I know are not specialists in the field: are physical, chemical, computer and give students their own (and wrong) view of mathematics.
The next example I gave it to John, a peculiar kind and admirable (I'll talk about it.) Convincingly illustrates the difference between mathematics and other sciences:
any course in any college math professor comes into class, and without saying a word written on the blackboard:
2 +2 = ?loose chalk and see their students waiting for a response. They puzzled respond in chorus:
2 +2 = 4The professor then pick up your chalk and writes
4 =?perplexed students do not know what to say. Finally, one of them dares to say: Infinity?
That's the difference between mathematics and other sciences. Mathematics has more to do with creativity and the pursuit of beauty in science and mathematics.
Dancing On Beach Painting
These phrases are mostly jokes about statistics and probability that mathematicians have each other. However, just shop around newspapers or television news to find that most people believe that things are well: Ear
- man time: "We expect a rainy weekend. The probability of rain on Saturday is 50% and the same for Sunday, so it'll rain this weekend in all probability"
- The Coca-Cola is very bad health, although the formula has improved over time. Everyone who took between 1900 and 1910 have died. This mortality rate is reduced as time progresses. Virtually all consumers of Coca-Cola aúun live births since 1995.
- When a train crash in the last car is where it produces the highest mortality rate (this is a true fact.) That is why the National Railway Company is considering delete the last car of each train.
- To a statistician, English media has a tit and a half penis.
- The 66,6% of dentists surveyed opted for a sugar-free gum (We could not convince the Doctor Morales).
- Nine out of ten dentists agree that one in ten dentists are idiots.
- Most people have a number of fingers than average.
- Recent research shows that in 90 English, 45 are half.
Monday, March 10, 2008
Calories In A Bag Of Pop Secret
Published yesterday published an interview with Capi Corrales recently honored with the award Laura Iglesias Romero in science communication. It talks about some of the evils of mathematics, such as lack of outreach work or lack of women.
Those who have had the pleasure to learn geometry with her remember her simple way of doing what before was incomprehensible to us.
It is also a woman committed to the world we live and the society around it.
copied and pasted a few paragraphs of the interview in regard to the presence of women in mathematics:
After the war, women no longer exist. Has killed many people and needs women giving birth and not at universities. So not only are not given opportunities, but that should not motivate them. It ninguneo history and memory of all those women from being a model for other women. A Franco did not care who knew that during the Republic had been women scientists, nor cared to have women doing research, because the woman who has investigated one or two children, not seven.
is due to several factors, but the key is the behavior of the mathematical community with women. In Spain we had a period in which both the mathematical community and from institutions has made an effort to make people aware of this problem, but this will begin to reverse, because socially being reversed. Girls and boys have no interest in thinking, to play, no curiosity. In the nineteenth century workers were needed and now need to consume, not people who think. I see women who are becoming more models, presidents who left to air the weddings of their daughters before the end of the race, that was not well seen before ... This will ultimately have an impact on state policies. If you do not give votes to policies that guarantee equal access, stop doing, and if left to do as yet not been developed for long enough, will be back in rights.
If you have time read it, will not be disappointed.
Wednesday, January 16, 2008
How Long Does It Take For Trichanomis To Be Cured
In a previous post on the letter of the NIF slipped a small error. What you need to search the table of the letters is the remainder after dividing your identity card number by 23.
The main sticking with that found many people is that calculators are not normally an operation that returns the remainder of a division, decimals calculator out directly.
Windows Calculator, as science (Click on View / Science), can get us out of trouble with the MOD key:
Write the DNI
- MOD press the key type 23
- We click on the = key (or press the Enter key on your keyboard).
- divide the number of ID card of 23.
- The result we subtract the part that is left of the comma, ie: the number without decimals. It should be something like 0 ,....
- Multiply that result by 23. That number is the remainder.
Monday, January 14, 2008
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Yes, this is the Russians lately. The following is the method used by the Russian peasants to multiply numbers of any size without needing to know more than the multiplication table for two and half how to calculate a number.
Let's try to multiply 25 by 34.
wrote in a column 25 and 34 in another way:
repeat the process until the column left will be a 1:
Finally add all the numbers in the column to the right that are not crossed out:
The result of multiplying 25 by 34 is actually 850.
The method is valid for any two numbers multiply no matter how many numbers they have.
Saturday, January 12, 2008
Milena Velba And Friends Is Milena Velba Married?
During the early years of Stalinism, a Russian mathematician called Razin became very famous for his discoveries in number theory. Both caught the attention of the Politburo, he sent an emissary to propose a member of the party. " The party needs people like you " he argued. The poor Razin convinced him more the fear of displeasing the almighty CPSU his interest in politics, and finally agreed.
However, his interests were focused on the numbers and during boring meetings of the Party he spent playing with his theorems. That attitude did not go unnoticed for long. One evening, after leaving a friend back home gave him 50 rubles and warned him that he should not go home because the political commissars were waiting to arrest him. " Go to the station and take the first train out. Do not le digas a nadie a donde vas " le dijo.
Razín obedeció, se fué a la estación y se subió en el primer tren que vio. El tren paró en un pueblo remoto de Siberia, donde la nieve llegaba hasta la cintura. Él no llevaba ropa adecuada, ni comida, no tenia donde meterse. Intentó llegar hasta la puerta de una casa, pero como la nieve se lo impedía cogió una pala y despejó el camino hasta la puerta. En la casa no había nadie, pero como palear le hizo entrar en calor siguió haciendolo hasta que despejó toda la calle. Los vecinos, al verle tan dispuesto le acogieron en su comunidad y Razin asumió el nombre de Fiodor Alexeiev y el oficio de quitanieves.
Fiodor Alexeiev se convirtió en a man much loved in her new town. During the day removing snow from the streets at night and plunged into his world of numbers and mathematical structures.
But such popularity was not lost on local members of the Communist Party, which proposed to form part of the game. Fyodor Alexeyev
once again attempt to circumvent the offer, this time arguing that he alone was a poor illiterate workers and such a person could not be at all useful for the party. The party then was forced to attend night school where you teach literacy and the four rules. Fyodor Alexeyev resigned to his fate and went to the first night school sessions, with 24 other illiterate workers, farmers, masons, artisans ...
After a few weeks of school, the teacher wrote on the blackboard: 1 +1 = 2. He said: " This is always, in winter and summer, and always will be. Aprendanselo ." Fyodor Alexeyev
could no longer, stood up and said: You're wrong lady. I can show that under certain conditions and considering some concepts of modern mathematics this statement may not be true.
Aceca to be waxed, grabbed a piece of chalk and began to develop complicated theorems. When he had filled with formulas slate, followed other side. When he took a piece full carbon and continued to write on the walls. An hour later, at the corner of the wall ecribió its conclusion: 1 +1 = 2. Fyodor Alexeyev
the result looked puzzled and said, "Wait, this can not be wrong because I have somewhere. I will review it." At that moment they heard the sound of other classmates whispering: "Planck's constant, Planck's constant ..."
This story is not real, of course. There never was a mathematician named Razin in the USSR. But I find so beautiful that I could not resist bringing it here. Is adapted (the write directly from memory) of a book called Landscape painted with tea of Milorad Pavic .
Wednesday, January 9, 2008
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To think a little before bed:
- This sentence no verb.
- When no one reads this sentence is in English.
- This sentence contains an error.
- Here begins the sentence that you're finished reading.
- last words of this sentence are the words of this sentence.
Of course, the phrases are not mine, but I do not remember the authors, unless the second-appears on the book by Douglas Hofstadter Escher, Gödel, Bach. A graceful loop Eternal . A book everyone should read before you die.
Other se atribuyen a tanta gente que no he sido capaz de determinar su verdadero origen.