The number pi rhyme to remember. The mysterious number Pi: what is it and how to remember it
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This is not to say that knowing the number pi with an accuracy greater than two decimal places is very useful. However, using the example of the number Pi, one can show how convenient it is to use some to remember abstract information consisting of only digits.
So, as methods for memorizing the number Pi, several options can be offered.
First way. Rhyme
In order to remember the number Pi there is such a poem.
…
So that we don't make mistakes
Must read correctly:
Three, fourteen, fifteen
Ninety-two and six.
Well, then you need to know
If we ask you -
It'll be five, three, five
Eight, nine, eight.
(S. Bobrov "The Magic Bicorn")
The second way. Convenient structuring
We divide what is written after the comma into the following groups:
3, (14 and 15) (926 - megaphone code) (535) (89 and 79) (32 and 38 for a total of seventy) (46 and 26) and so on
You can also select other groups, the main condition is that it should be easier for you to remember them. It is better to immediately stop at one option when structuring, otherwise confusion may arise that will prevent you from remembering the number.
The third way. Length of words in a phrase
This method is not the most convenient for quickly reproducing the PI number. But it is very effective if you need to remember by any means. The essence of the approach is that each digit of Pi corresponds to the number of letters in each word included in these phrases:
- What do I know about circles? (3.1415)
- So I know the number called Pi - Well done! (3.1415926 - rounded)
- Learn and know in the number known behind the number the number, how to notice good luck! (3.14159265359)
(Ya. I. Perelman)
Thus, you can see that using it you can quickly learn a fairly long sequence of numbers, this can be a phone number, postal code, important date or, as has been shown, a mathematical constant.
The most famous rhyme for memorizing the number Pi is:
So that we don't make mistakes
Must read correctly:
Three, fourteen, fifteen
Ninety-two and six.
(S. Bobrov "The Magic Bicorn")
To learn the value of Pi, rhymes will help, in which the number of letters of each word consistently matches the number from the number Pi.
Here are some examples of such verses:
"Once at Kolya and Arina
We ripped the feather beds.
White fluff flew, circled,
Courageous, froze,
blissed out
He gave us
Headache of old women.
Wow, the downy spirit is dangerous!"
"This I know and remember perfectly,
But many signs are superfluous to me, in vain.
Let's trust the vast knowledge
Those who counted, the numbers of the armada.
Another interesting option for remembering the number Pi is the Giordano system, built on figurative reproduction. Initially, you need to assign to each digit an image consisting of a pair of consonant letters.
0 - NM, 1 - GZh, 2 - DT, 3 - KH, 4 - ChSch, 5 - PB, 6 - SL, 7 - SZ, 8 - VF, 9 - RC.
Let's try to remember the number Pi up to the twentieth decimal place. Here it is - 3.14159265358979323846...
To do this, first we break our numbers into two-digit numbers and write them in the form of letters. Then we will select words in which there will be one of the letters of each pair.
From a mathematical point of view, the number pi is the ratio of the circumference of a circle to its diameter, from a philosophical point of view it is the numerical equivalent of infinity, from a calendar point of view it is the "namesake" of March 14 (3.14), and from a practical point of view it is a good material for honing mnemonic techniques.
In honor of international day numbers pi, we decided to recall some of them.
Turn a number into a story
To do this, it is proposed to replace the numbers with words containing the same number of letters. The English phrase “May I have a large container of coffee beans” is built on this principle, helping to remember eight decimal places (3.14159265).
There are also Russian-language versions. For example, pre-revolutionary: “Whoever, jokingly and soon wishes (b) Pi to know the number, already knows (b)” (10 characters - 3.1415926536).
Or a more modern version: "She was and will be respected at work" (3.1415926).
And also poetic: “I know this and remember it perfectly - “Pi” many signs are superfluous to me, in vain” (3.14159265358).
The created "numerical history" can be packaged in any convenient format. For example, the Soviet mathematician Yakov Perelman created a whole mnemonic dialogue:
What do I know about circles? (3.1415).
So I know the number called pi - Well done! (3.1415927).
Learn and know in the number known behind the number the number, how to notice good luck! (3.14159265359).
Replace numbers with letters
An option for those who, for whatever reason, a random set of letters are easier to remember than a random set of numbers.
For this, numbers from 1 to 9 are replaced by the first nine letters of the selected alphabet. For example, this is how the first part of the title "Cadaeic Cadenza" was created - a small work by the American mathematician Mike Keith, in which, in total, 3835 digits of pi are encoded.
In Russian, letters from A to Z, inclusive, can be used for such purposes. But how convenient it will be to remember the combinations made up of them is up to you.
draw an analogy
In fact, phone numbers are the same "illogical" set of numbers as irrational number pi. But if you wish, you can remember it if you have an appropriate goal in front of you.
Therefore, some mnemonic techniques suggest representing the number pi in the form of a telephone book, turning the numerical sequence into telephone numbers. However, in our time, few people memorize them, so you may have to find a more practical and relevant form.
Structure the data
If for some reason you nevertheless decided to learn it, then it is recommended to split the number into small segments (say, 4 characters each), and memorize it “in portions”. For example, sequentially learn 10 combinations of four numbers. And this is, no less, 39 decimal places.
http://www.supertosty.ru/pozdravleniya/prochie_prazdniki/mezhdunarodnyy_den_chisla_pi/On this day, one of the most unusual holidays is celebrated in the world. -
"Pi Day"
The number π is a mathematical constant expressing the ratio of the circumference of a circle to the length of its diameter.
Numerically, π begins as 3.141592 and has an infinite mathematical duration.
In American spelling, today's date looks like 3.14, hence the explanation why this holiday is celebrated on this day.
According to experts, this number was discovered by the Babylonian magicians. It was used in the construction of the famous Tower of Babel.
However, insufficiently accurate calculation of the value of Pi led to the collapse of the entire project. It is possible that this mathematical constant underlay the construction of the legendary Temple of King Solomon.
It is significant that the holiday of the Pi number coincides with the birthday of one of the most outstanding physicists of our time - Albert Einstein.
What kind of number is this? The number pi attracted the attention of people in prehistoric times, when they could not write down their knowledge, their experiences, or their memories. But, as the immortal Teffi wrote, “everything that concerns ancient times and about which we know absolutely nothing is called the prehistoric period.
Scientists know absolutely nothing about this period (because if they did, it would have to be called historical). However, even then people became interested in the ratio of the circumference and its diameter.
At first, due to ignorance, it (this ratio) was considered equal to three, which was roughly approximate, but they were enough. But when prehistoric times were replaced by ancient times (that is, already historical), then there was no limit to the surprise of inquisitive minds: it turned out that the number three very inaccurately expresses this ratio.
With the passage of time and the development of science, this number began to be considered equal to twenty-two-sevenths, about which they even put together a rhyme for memorization:
Twenty-two owls were bored
On big dry bitches.
Twenty-two owls dreamed
About seven big mice.
AT Ancient Greece the exact sciences flourished in an extraordinary way, and architecture also appeared. And where architecture is, there are calculations. And the well-known Archimedes further clarified the meaning of the number pi, which was also reported to us in verse by a wonderful writer S.Bobrov in his marvelous book The Magic Bicorn:
Proud Rome trumpeted victory
Above the stronghold of Syracuse;
But the works of Archimedes
Much more I am proud.
We just have to try
And remember everything as it is:
Three - fourteen - fifteen -
Ninety-two and six!
For simple domestic use, these signs are already enough.
How to remember the number Pi
I don’t know about you, but at one time in school I had a problem with remembering the number pi.And why? We were not told that a rhyme can be used for memorization:
“I know this and remember it perfectly: and many signs are superfluous to me, in vain ...”
3,14159265358
Not quite in Russian, but in rhyme. Voila! And 11 decimal places in your head.
For of English language there is also an option:
“How I want a drink, alcoholic of course, after the heavy chapters involving quantum mechanics.Yes! no? Yes!!!"
3.14159265358979323
(The number of letters in a word is equal to the corresponding letter of the number PI)
Mnemonists love to memorize the number PI. And they compete in the number of memorized numbers of this an infinite number. record holders different countries entered in the book of records.
The Japanese Hideaki Tomoyori can reproduce the number of pi up to 40,000 characters. It took him about 10 years to memorize such a number of digits.
The Russian record for remembering the number of pi is much more modest. Chelyabinsk Alexander Belyaev reproduced 2500 characters of the number PI.
It took him an hour and a half to remember the numbers. For memorization - a month and a half.
Prior to this, the Russian record was "only" 2000 characters. You have a real chance to break the Russian record, since remembering 3-4 thousand numbers is not so difficult. There would be a desire.
On June 17, 2009, Ukrainian neurosurgeon, Doctor of Medical Sciences, Professor Andrey Slyusarchuk set a world record by memorizing 30 million digits of Pi, which were printed in 20 volumes of text.
President of Ukraine Viktor Andreevich Yushchenko officially congratulated Andriy Slyusarchuk on setting a new record.
Since verbally listing 30 million π digits at a rate of one digit per second would take almost a year (347 days) with continuous transfer 24 hours a day, 7 days a week, the following approach was used to check the record: during demonstrations, Slyusarchuk is asked to name arbitrarily sequences of digits of pi chosen by the verifiers, located at randomly selected places on arbitrary pages of a 20-volume printout, grouped into ordered tables.
He successfully passes this test many times. The demonstrations were witnessed by respected scientists, doctors and candidates of sciences, heads of departments of institutes and universities. The Book of Records of Ukraine lists members of the commission who participated in the demonstrations.
Their scientific titles and positions held are given. The unique memory of Andrey Slyusarchuk is based on the eidetic perception of information.
Did you know that in 1996 Mike Keith wrote short story, which is called “Rhythmic Cadenze” (“Cadeic Cadenze”), in its text the length of the words corresponded to the first 3834 digits of Pi.
Mnemonic rules
So that we don't make mistakesMust read correctly:
Ninety-two and six.
We just have to try
And remember everything as it is:
Three, fourteen, fifteen
Ninety-two and six.
Three, fourteen, fifteen
Nine, two, six, five, three, five.
To do science
Everyone should know this.
You can just try
And keep repeating:
"Three, fourteen, fifteen,
Nine, twenty-six and five."
Count the number of letters in each word in the phrases below (excluding punctuation marks) and write these numbers in a row - not forgetting the decimal point after the first "3", of course. Get an approximate number of Pi.
This I know and remember perfectly: And many signs are superfluous to me, in vain.
Who, jokingly, and soon wishes Pi to know the number - already knows!
So Misha and Anyuta ran to Pi to find out the number they wanted.
If you follow the poetic size, you can quickly remember:
Three, fourteen, fifteen, nine two, six five, three five
Eight nine, seven and nine, three two, three eight, forty six
Two six four, three three eight, three two seven nine, five zero two
Eight eight and four nineteen seven one
There are no repetitions in the decimal part of the number pi, as in the usual periodic fraction, and the number of decimal places in it is infinite. To date, it has been verified that there really are no repetitions in 500 billion digits of the number pi. There are reasons to believe that they do not exist at all. This is archival! Now I will explain.
Since there are no repetitions in the sequence of signs of pi, this means that the sequence of signs of pi obeys chaos theory, more precisely, the number pi is chaos written in numbers.
Moreover, if desired, this chaos can be represented graphically, and there is an assumption that this Chaos is reasonable. In 1965, the American mathematician M. Ulam, sitting at a boring meeting, from nothing to do, began to write numbers included in the number pi on checkered paper.
Putting 3 in the center and moving in a counterclockwise spiral, he wrote out 1, 4, 1, 5, 9, 2, 6, 5 and other numbers after the decimal point. Along the way, he circled all prime numbers circles. What was his surprise and horror when the circles began to line up along the straight lines!
In March 2014, Arthur set a new record for reproducing the number Pi, naming 11,106 characters without hesitation. He got into the "Book of Records of Russia" as a student. In addition, Arthur, as an expert on memory development, advises a well-known service on memorization issues, and while preparing for the record, he wrote a whole book called Remember Everything.
Arthur shared with us a story about how good habits and self-training can achieve amazing results, and also dispelled several popular misconceptions about mnemonics and memory.
How to remember tens of thousands of digits?
I am often asked what it is like to have a phenomenal memory: can I learn languages in a matter of days, do I keep memories of every day I live, do I remember the books I read verbatim. At first it was nice to hear such questions, but now I immediately try to make it clear to new acquaintances that I have the most ordinary memory. The main thing is to understand how it works.
I was genuinely surprised to read about people who were able to memorize decks of cards, numbers, long lists of foreign words with amazing speed. Once I read about a person who can learn a language in two or three days, and I decided to seriously figure out how it works myself. At first, it seemed that training would allow me to someday learn to memorize languages in the blink of an eye. Now I can say that no one can learn a language in two or three days. The fact is that in the book that inspired me, the words “learn a language” meant memorizing 1.5 thousand words.
Then he actively memorized numbers with a stopwatch, wanting to learn how to study foreign languages with astonishing speed.
“Why spend a year learning a language when you can develop a memory in six months and learn a language in a few days?” I thought as I continued to train.
Having learned to memorize a hundred digits in three minutes, I found out that the real Russian record at that time in memorizing the number Pi was only 8,332 characters. Why not set a new record? A great opportunity to stay motivated and better understand how memory works.
I decided to memorize 22,528 digits of pi. This is slightly more than the European record. In order to memorize so many numbers, I walked around Moscow and laid out my pre-compiled images of numbers on the streets. For example, the image for the number 01 is Schumacher, because he comes first in the races, for 92 - the image of my brother, because he was born in 1992. All 22 thousand digits of Pi for me is big story that took place on the streets of Moscow.
Here - 3998 digits of Pi, arranged in a three-dimensional spiral. Source: flickr.com
Absolutely everyone can beat my record. The most difficult thing is not to remember the numbers, but to reproduce them, because the rules of the record book do not allow you to correct yourself if you make a mistake. If you say "Twenty-five... oh, no, thirty-five!", it will be counted as a mistake, even if you immediately corrected it. I made a mistake on 11,106 characters, and now this is a new Russian record. If someone wants to beat him, I suggest opening almost any book on mnemonics. Memorization is not the hardest part.
Where can I find time for training?
While preparing for the championship, I also wrote a book, studied English and studied for exams at the university. At the same time, there was no less free time: I still read fiction, met with friends and even played computer games. However, I tried to use my time more rationally: I listened to English podcasts in the metro, repeated the Pi number at breakfast (and in other free minutes), and tried to memorize new locations and places in Moscow while walking with friends. I read books, watched movies and played games only in the original language.
The main question is not time, but motivation - it should be enough to devote at least a few minutes every day to your goals. It is very easy to find a few minutes: in the morning at breakfast, on the subway, in line, waiting for a meeting, even in the toilet. It can take more than an hour a day. An hour a day for a month - already 30 hours! Add to this the ability to make better use of time (like watching films in English, if your goal is to learn the language), as well as the hours that you devote entirely to achieving the goal.
How to memorize information quickly and for a long time?
To quickly memorize incoherent and illogical information, such as names, numbers, foreign words, it is best to use mnemonics. Mnemonics (or mnemonics) is the use of any associations that allow you to cling information to what is already in your memory. For example, in order to remember that the English "shriek" is translated as "screech", you can come up with some kind of consonant image: for example, screeching Shrek. There are no miracles, but this method will allow you to memorize 60 words per hour.
And here is the word "shriek". Source: thewire.com
When memorizing logical and structured information like concepts, laws, theorems, book plots, the main thing is understanding, identifying cause-and-effect relationships and any other patterns. As a rule, we have to memorize both logical and structured, and incoherent and abstract information within the same disciplines, so for effective learning both understanding and use of mnemonics are necessary. But no matter how you remember the information, it will still be forgotten.
According to the Ebbinghaus curve, most of will be forgotten already in the first hours after memorization, while the rate of forgetting will decrease exponentially. Although her curve was based on the memorization of abstract information, these principles are also true for structured information, which, although not so quickly, will still be forgotten. Most rational way solve the problem of forgetting - use the spaced repetition method. The essence of the method is to repeat the information not every day / week / month, but at increasing intervals. It is possible to organize such a repetition through special programs. For example, through Anki, you can repeat any information by translating it into flashcards, and on LinguaLeo, spaced repetition is used to memorize foreign words.
When is the best time for memory?
According to the laws of retroactive and proactive inhibition, one stored information overlaps another. That is, the brain needs some time after memorization to process the received data. This requires changes in schools and universities. Based on these laws, the best time to memorize is immediately after waking up and immediately before bedtime. The latter is also supported by the fact that the consolidation of short-term memory into long-term memory occurs during sleep.
Also, the memory will work well after playing sports: here is the lack of proactive inhibition, and the consequence physical activity. As for specific time periods, it cannot be reliably stated that, for example, from 8 to 12, memory works better. In my opinion, it all depends on the individual, his regimen and habits.