What is the value of pi. What is the number PI and what does it mean? See what "pi" is in other dictionaries

PI
The symbol PI stands for the ratio of the circumference of a circle to its diameter. For the first time in this sense, the symbol p was used by W. Jones in 1707, and L. Euler, having accepted this designation, introduced it into scientific use. Even in ancient times, mathematicians knew that calculating the value of p and the area of ​​a circle are closely related tasks. The ancient Chinese and ancient Jews considered the number p equal to 3. The value of p, equal to 3.1605, is contained in the ancient Egyptian papyrus of the scribe Ahmes (c. 1650 BC). Around 225 BC e. Archimedes, using regular 96-gons inscribed and circumscribed, approximated the area of ​​a circle using a method that resulted in a PI value between 31/7 and 310/71. Another approximate value of p, equivalent to the usual decimal representation of this number 3.1416, has been known since the 2nd century. L. van Zeulen (1540-1610) calculated the value of PI with 32 decimal places. By the end of the 17th century. new methods of mathematical analysis made it possible to calculate the value of p by the set various ways. In 1593 F. Viet (1540-1603) derived the formula

In 1665 J. Wallis (1616-1703) proved that


In 1658, W. Brounker found a representation of the number p in the form of a continued fraction


G. Leibniz in 1673 published a series


Series allow you to calculate the value of p with any number of decimal places. IN last years with the advent of electronic computers, the value of p was found with more than 10,000 characters. With ten digits, the value of PI is 3.1415926536. As a number, PI has some interesting properties. For example, it cannot be represented as a ratio of two integers or as a periodic decimal fraction; the number PI is transcendental, i.e. not representable as a root algebraic equation with rational coefficients. The PI number is included in many mathematical, physical and technical formulas, including those not directly related to the area of ​​a circle or the length of an arc of a circle. For example, the area of ​​an ellipse A is given by A = pab, where a and b are the lengths of the major and minor semiaxes.

Collier Encyclopedia. - Open society. 2000 .

See what "PI NUMBER" is in other dictionaries:

    number- Reception Source: GOST 111 90: Sheet glass. Specifications original document See also related terms: 109. Number of betatron oscillations ... Dictionary-reference book of terms of normative and technical documentation

    Ex., s., use. very often Morphology: (no) what? numbers for what? number, (see) what? number than? number about what? about the number; pl. what? numbers, (no) what? numbers for what? numbers, (see) what? numbers than? numbers about what? about mathematics numbers 1. Number ... ... Dictionary Dmitrieva

    NUMBER, numbers, pl. numbers, numbers, numbers, cf. 1. A concept that serves as an expression of quantity, something with the help of which objects and phenomena are counted (mat.). Integer. A fractional number. named number. Prime number. (see simple1 in 1 value).… … Explanatory Dictionary of Ushakov

    An abstract designation, devoid of special content, of any member of a certain series, in which this member is preceded or followed by some other definite member; an abstract individual feature that distinguishes one set from ... ... Philosophical Encyclopedia

    Number- Number grammatical category expressing the quantitative characteristics of the objects of thought. The grammatical number is one of the manifestations of a more general linguistic category of quantity (see the Linguistic category) along with a lexical manifestation (“lexical ... ... Linguistic Encyclopedic Dictionary

    A number approximately equal to 2.718, which is often found in mathematics and natural sciences. For example, during the decay of a radioactive substance after time t, a fraction equal to e kt remains from the initial amount of substance, where k is a number, ... ... Collier Encyclopedia

    BUT; pl. numbers, villages, slam; cf. 1. A unit of account expressing one or another quantity. Fractional, integer, simple hours. Even, odd hours. Count as round numbers (approximately, counting as whole units or tens). Natural hours (positive integer ... encyclopedic Dictionary

    Wed quantity, count, to the question: how much? and the very sign expressing quantity, the figure. Without number; no number, no count, many many. Put the appliances according to the number of guests. Roman, Arabic or church numbers. Integer, contra. fraction. ... ... Dahl's Explanatory Dictionary

    NUMBER, a, pl. numbers, villages, slam, cf. 1. The basic concept of mathematics is the value, with the help of which the swarm is calculated. Integer hours Fractional hours Real hours Complex hours Natural hours (positive integer). Simple hours (natural number, not ... ... Explanatory dictionary of Ozhegov

    NUMBER "E" (EXP), an irrational number that serves as the basis of natural LOGARITHMS. It's valid decimal number, an infinite fraction equal to 2.7182818284590...., is the limit of the expression (1/) as n tends to infinity. In fact,… … Scientific and technical encyclopedic dictionary

    Quantity, cash, composition, strength, contingent, amount, figure; day.. Wed. . See day, quantity. a small number, no number, grow in number... Dictionary of Russian synonyms and expressions similar in meaning. under. ed. N. Abramova, M .: Russians ... ... Synonym dictionary

Books

  • Name number. Secrets of numerology. Exit from the body for the lazy. ESP Primer (number of volumes: 3), Lawrence Shirley. Name number. Secrets of numerology. Shirley B. Lawrence's book is a comprehensive study of the ancient esoteric system - numerology. To learn how to use number vibrations to…
  • Name number. The sacred meaning of numbers. Symbolism of the Tarot (number of volumes: 3), Uspensky Petr. Name number. Secrets of numerology. Shirley B. Lawrence's book is a comprehensive study of the ancient esoteric system - numerology. To learn how to use number vibrations to…

Mathematicians all over the world eat a piece of cake every year on March 14 - after all, this is the day of Pi, the most famous irrational number. This date is directly related to the number whose first digits are 3.14. Pi is the ratio of the circumference of a circle to its diameter. Since it is irrational, it is impossible to write it as a fraction. This is an infinitely long number. It was discovered thousands of years ago and has been constantly studied ever since, but does Pi have any secrets left? From ancient origins to an uncertain future, here are some of the most interesting facts about pi.

Memorizing Pi

The record for remembering numbers after the decimal point belongs to Rajveer Meena from India, who managed to remember 70,000 digits - he set the record on March 21, 2015. Before that, the record holder was Chao Lu from China, who managed to memorize 67,890 digits - this record was set in 2005. The unofficial record holder is Akira Haraguchi, who videotaped his repetition of 100,000 digits in 2005 and recently posted a video where he manages to remember 117,000 digits. An official record would only become if this video was recorded in the presence of a representative of the Guinness Book of Records, and without confirmation it remains only an impressive fact, but is not considered an achievement. Mathematics enthusiasts love to memorize the number Pi. Many people use various mnemonic techniques, such as poetry, where the number of letters in each word is the same as pi. Each language has its own variants of such phrases, which help to remember both the first few digits and a whole hundred.

There is a Pi language

Fascinated by literature, mathematicians invented a dialect in which the number of letters in all words corresponds to the digits of Pi in exact order. Writer Mike Keith even wrote a book, Not a Wake, which is completely written in the Pi language. Enthusiasts of such creativity write their works in full accordance with the number of letters and the meaning of the numbers. This has no practical application, but is a fairly common and well-known phenomenon in the circles of enthusiastic scientists.

Exponential Growth

Pi is an infinite number, so people, by definition, will never be able to figure out the exact numbers of this number. However, the number of digits after the decimal point has increased greatly since the first use of the Pi. Even the Babylonians used it, but a fraction of three and one eighth was enough for them. Chinese and creators Old Testament and was completely limited to three. By 1665, Sir Isaac Newton had calculated 16 digits of pi. By 1719, French mathematician Tom Fante de Lagny had calculated 127 digits. The advent of computers has radically improved man's knowledge of Pi. From 1949 to 1967 the number known to man numbers skyrocketed from 2037 to 500,000. Not so long ago, Peter Trueb, a scientist from Switzerland, was able to calculate 2.24 trillion digits of Pi! This took 105 days. Of course, this is not the limit. It is likely that with the development of technology it will be possible to install even more exact number- since Pi is infinite, there is simply no limit to accuracy, and only the technical features of computer technology can limit it.

Calculating Pi by hand

If you want to find the number yourself, you can use the old-fashioned technique - you will need a ruler, a jar and string, you can also use a protractor and a pencil. The downside to using a jar is that it has to be round, and accuracy will be determined by how well the person can wrap the rope around it. It is possible to draw a circle with a protractor, but this also requires skill and precision, as an uneven circle can seriously distort your measurements. A more accurate method involves the use of geometry. Divide the circle into many segments, like pizza slices, and then calculate the length of a straight line that would turn each segment into an isosceles triangle. The sum of the sides will give an approximate number of pi. The more segments you use, the more accurate the number will be. Of course, in your calculations you will not be able to come close to the results of a computer, nevertheless, these simple experiments allow you to understand in more detail what Pi is in general and how it is used in mathematics.

Discovery of Pi

The ancient Babylonians knew about the existence of the number Pi already four thousand years ago. The Babylonian tablets calculate Pi as 3.125, and the Egyptian mathematical papyrus contains the number 3.1605. In the Bible, the number Pi is given in an obsolete length - in cubits, and the Greek mathematician Archimedes used the Pythagorean theorem to describe Pi, the geometric ratio of the length of the sides of a triangle and the area of ​​\u200b\u200bthe figures inside and outside the circles. Thus, it is safe to say that Pi is one of the most ancient mathematical concepts, although the exact name given number and appeared relatively recently.

A new take on Pi

Even before pi was related to circles, mathematicians already had many ways to even name this number. For example, in ancient mathematics textbooks one can find a phrase in Latin, which can be roughly translated as "the quantity that shows the length when the diameter is multiplied by it." The irrational number became famous when the Swiss scientist Leonhard Euler used it in his work on trigonometry in 1737. However, the Greek symbol for pi was still not used - it only happened in a book by the lesser-known mathematician William Jones. He used it as early as 1706, but it was long neglected. Over time, scientists adopted this name, and now this is the most famous version of the name, although before it was also called the Ludolf number.

Is pi normal?

The number pi is definitely strange, but how does it obey the normal mathematical laws? Scientists have already resolved many questions related to this irrational number, but some mysteries remain. For example, it is not known how often all digits are used - the numbers from 0 to 9 should be used in equal proportion. However, statistics can be traced for the first trillion digits, but due to the fact that the number is infinite, it is impossible to prove anything for sure. There are other problems that still elude scientists. It is quite possible that further development science will help shed light on them, but on this moment it remains outside the human intellect.

Pi sounds divine

Scientists cannot answer some questions about the number Pi, however, every year they understand its essence better. Already in the eighteenth century, the irrationality of this number was proved. In addition, it has been proved that the number is transcendental. This means that there is no definite formula that would allow you to calculate pi using rational numbers.

Dissatisfaction with Pi

Many mathematicians are simply in love with Pi, but there are those who believe that these numbers have no special significance. In addition, they claim that the number Tau, which is twice the size of Pi, is more convenient to use as an irrational one. Tau shows the relationship between the circumference and the radius, which, according to some, represents a more logical method of calculation. However, to unambiguously define something in this issue impossible, and one and the other number will always have supporters, both methods have the right to life, so it's just interesting fact, and not a reason to think that you should not use the number Pi.

Today is the birthday of the number Pi, which, at the initiative of American mathematicians, is celebrated on March 14 at 1 hour and 59 minutes in the afternoon. This is due to a more accurate value of Pi: we are all used to counting this constant as 3.14, but the number can be continued like this: 3, 14159... Translating this into a calendar date, we get 03.14, 1:59.

Photo: AIF / Nadezhda Uvarova

Vladimir Zalyapin, professor at the Department of Mathematical and Functional Analysis at South Ural State University, says that July 22 should still be considered "Pi day", because in the European date format this day is written as 22/7, and the value of this fraction is approximately equal to the value of Pi .

“The history of the number giving the ratio of the circumference of a circle to the diameter of a circle goes back to distant antiquity- says Zalyapin. — The Sumerians and Babylonians already knew that this ratio does not depend on the diameter of the circle and is constant. One of the first mentions of the number Pi can be found in the texts Egyptian scribe Ahmes(about 1650 BC). The ancient Greeks, who borrowed a lot from the Egyptians, contributed to the development of this mysterious quantity. According to the legend, Archimedes was so carried away by the calculations that he did not notice how the Roman soldiers took him native city Syracuse. When a Roman soldier approached him, Archimedes shouted in Greek, "Don't touch my circles!" In response, the soldier stabbed him with a sword.

Plato received a fairly accurate value of pi for his time - 3.146. Ludolf van Zeilen spent most of his life calculating the first 36 digits after the decimal point of pi, and these were engraved on his tombstone after his death."

Irrational and abnormal

According to the professor, at all times the pursuit of calculating new decimal places was determined by the desire to get the exact value of this number. It was assumed that the number Pi is rational and, therefore, can be expressed as a simple fraction. And this is fundamentally wrong!

Pi is also popular because it is mystical. Since ancient times, there has been a religion of worshipers of the constant. In addition to the traditional value of Pi - a mathematical constant (3.1415 ...), expressing the ratio of the circumference of a circle to its diameter, there are many other values ​​\u200b\u200bof the number. Such facts are curious. In the process of measuring the dimensions of the Great Pyramid of Giza, it turned out that it has the same ratio of height to the perimeter of its base as the radius of a circle to its length, that is, ½ Pi.

If we calculate the length of the Earth's equator using Pi to the ninth decimal place, the calculation error is only about 6 mm. Thirty-nine decimal places in the number Pi is enough to calculate the circumference of a circle encircling known space objects in the Universe, with an error no greater than the radius of a hydrogen atom!

The study of Pi is engaged, among other things, in mathematical analysis. Photo: AIF / Nadezhda Uvarova

Chaos in numbers

According to a professor of mathematics, in 1767 Lambert established the irrationality of the number Pi, that is, the impossibility of representing it as a ratio of two integers. This means that the sequence of decimal digits of pi is chaos embodied in numbers. In other words, the "tail" of decimal places contains any number, any sequence of numbers, any texts that were, are and will be, but it is not possible to extract this information!

“It is impossible to know the exact value of Pi,” continues Vladimir Ilyich. But these attempts are not abandoned. In 1991 Chudnovsky achieved new 2260000000 decimal digits of the constant, and in 1994 - 4044000000. After that, the number of correct digits of the number Pi increased like an avalanche.

Chinese man holds world record for memorizing pi Liu Chao, who managed to memorize 67890 decimal places without error and reproduce them within 24 hours and 4 minutes.

About the "golden section"

By the way, the connection between "pi" and another amazing quantity - the golden ratio - has not actually been proven. People have long noticed that the "golden" proportion - it is also the Phi number - and the number Pi divided by two differ from each other by less than 3% (1.61803398... and 1.57079632...). However, for mathematics, these three percent are too significant a difference to consider these values ​​​​identical. In the same way, we can say that the number Pi and the number Phi are relatives of another well-known constant - the Euler number, since the root of it is close to half the number of Pi. One second of Pi is 1.5708, Phi is 1.6180, the root of E is 1.6487.

This is only part of the meaning of Pi. Photo: Screenshot

Pi's birthday

In the South Ural state university Constant's birthday is celebrated by all teachers and mathematics students. It has always been like this - it cannot be said that interest has appeared only in recent years. The number 3.14 is even welcomed with a special holiday concert!

January 13, 2017

***

What is common between a wheel from Lada Priora, a wedding ring and a saucer of your cat? Of course, you will say beauty and style, but I dare to argue with you. Pi! This is a number that unites all circles, circles and roundness, which include, in particular, my mother's ring, and the wheel from my father's favorite car, and even the saucer of my beloved cat Murzik. I'm willing to bet that in the ranking of the most popular physical and mathematical constants, the number Pi will undoubtedly take the first line. But what is behind it? Maybe some terrible curses of mathematicians? Let's try to understand this issue.

What is the number "Pi" and where did it come from?

Modern number designation π (Pi) appeared thanks to the English mathematician Johnson in 1706. This is the first letter of the Greek word περιφέρεια (periphery, or circumference). For those who have gone through mathematics for a long time, and besides, past, we recall that the number Pi is the ratio of the circumference of a circle to its diameter. The value is a constant, that is, it is constant for any circle, regardless of its radius. People have known about this since ancient times. So in ancient Egypt, the number Pi was taken equal to the ratio 256/81, and in the Vedic texts the value 339/108 is given, while Archimedes suggested the ratio 22/7. But neither these nor many other ways of expressing the number pi gave an accurate result.

It turned out that the number Pi is transcendental, respectively, and irrational. This means that it cannot be represented as a simple fraction. If it is expressed in terms of decimal, then the sequence of digits after the decimal point will rush to infinity, moreover, without periodically repeating. What does all of this mean? Very simple. Do you want to know the phone number of the girl you like? It can certainly be found in the sequence of digits after the decimal point of Pi.

Phone can be viewed here ↓

Pi number up to 10000 characters.

π= 3,
1415926535 8979323846 2643383279 5028841971 6939937510 5820974944 5923078164 0628620899 8628034825 3421170679 8214808651 3282306647 0938446095 5058223172 5359408128 4811174502 8410270193 8521105559 6446229489 5493038196 4428810975 6659334461 2847564823 3786783165 2712019091 4564856692 3460348610 4543266482 1339360726 0249141273 7245870066 0631558817 4881520920 9628292540 9171536436 7892590360 0113305305 4882046652 1384146951 9415116094 3305727036 5759591953 0921861173 8193261179 3105118548 0744623799 6274956735 1885752724 8912279381 8301194912 9833673362 4406566430 8602139494 6395224737 1907021798 6094370277 0539217176 2931767523 8467481846 7669405132 0005681271 4526356082 7785771342 7577896091 7363717872 1468440901 2249534301 4654958537 1050792279 6892589235 4201995611 2129021960 8640344181 5981362977 4771309960 5187072113 4999999837 2978049951 0597317328 1609631859 5024459455 3469083026 4252230825 3344685035 2619311881 7101000313 7838752886 5875332083 8142061717 7669147303 5982534904 2875546873 1159562863 8823537875 9375195778 1857780532 1712268066 1300192787 6611195909 2164201989..

Didn't find it? Then look.

In general, it can be not only a phone number, but any information encoded using numbers. For example, if we represent all the works of Alexander Sergeevich Pushkin in digital form, then they were stored in the number Pi even before he wrote them, even before he was born. In principle, they are still stored there. By the way, curses of mathematicians in π are also present, and not only mathematicians. In a word, Pi has everything, even thoughts that will visit your bright head tomorrow, the day after tomorrow, in a year, or maybe in two. This is very hard to believe, but even if we pretend to believe it, it will be even more difficult to get information from there and decipher it. So instead of delving into these numbers, it might be easier to approach the girl you like and ask her for a number? .. But for those who are not looking for easy ways, well, or just interested in what the number Pi is, I offer several ways to calculations. Count on health.

What is the value of Pi? Methods for its calculation:

1. Experimental method. If pi is the ratio of a circle's circumference to its diameter, then perhaps the first and most obvious way to find our mysterious constant would be to manually take all measurements and calculate pi using the formula π=l/d. Where l is the circumference of the circle and d is its diameter. Everything is very simple, you just need to arm yourself with a thread to determine the circumference, a ruler to find the diameter, and, in fact, the length of the thread itself, and a calculator if you have problems with division into a column. A saucepan or a jar of cucumbers can act as a measured sample, it doesn’t matter, the main thing? so that the base is a circle.

The considered calculation method is the simplest, but, unfortunately, it has two significant drawbacks that affect the accuracy of the resulting Pi number. Firstly, the error of measuring instruments (in our case, this is a ruler with a thread), and secondly, there is no guarantee that the circle we measure will have the correct shape. Therefore, it is not surprising that mathematics has given us many other methods for calculating π, where there is no need to make accurate measurements.

2. Leibniz series. There are several infinite series that allow you to accurately calculate the number of pi to a large number of decimal places. One of the simplest series is the Leibniz series. π = (4/1) - (4/3) + (4/5) - (4/7) + (4/9) - (4/11) + (4/13) - (4/15) ...
It's simple: we take fractions with 4 in the numerator (this is the one on top) and one number from the sequence of odd numbers in the denominator (this is the one on the bottom), sequentially add and subtract them with each other and get the number Pi. The more iterations or repetitions of our simple actions, the more accurate the result. Simple, but not effective, by the way, it takes 500,000 iterations to get the exact value of Pi to ten decimal places. That is, we will have to divide the unfortunate four as many as 500,000 times, and in addition to this, we will have to subtract and add the results obtained 500,000 times. Want to try?

3. The Nilakanta series. No time fiddling around with Leibniz next? There is an alternative. The Nilakanta series, although it is a bit more complicated, allows us to get the desired result faster. π = 3 + 4/(2*3*4) - 4/(4*5*6) + 4/(6*7*8) - 4/(8*9*10) + 4/(10*11 *12) - (4/(12*13*14) ... I think if you carefully look at the above initial fragment of the series, everything becomes clear, and comments are superfluous. On this we go further.

4. Monte Carlo method Enough interesting method calculation of pi is the Monte Carlo method. Such an extravagant name he got in honor of the city of the same name in the kingdom of Monaco. And the reason for this is random. No, it was not named by chance, it's just that the method is based on random numbers, and what could be more random than the numbers that fall out on the Monte Carlo casino roulettes? The calculation of the number Pi is not the only application of this method, so in the fifties it was used in calculations hydrogen bomb. But let's not digress.

Let's take a square with a side equal to 2r, and inscribe in it a circle with a radius r. Now if you randomly put dots in a square, then the probability P that a point fits into a circle is the ratio of the areas of the circle and the square. P \u003d S cr / S q \u003d 2πr 2 / (2r) 2 \u003d π / 4.

Now from here we express the number Pi π=4P. It remains only to obtain experimental data and find the probability P as the ratio of hits in the circle N cr to hit the square N sq.. IN general view the calculation formula will look like this: π=4N cr / N sq.

I would like to note that in order to implement this method, it is not necessary to go to the casino, it is enough to use any more or less decent programming language. Well, the accuracy of the results will depend on the number of points set, respectively, the more, the more accurate. I wish you good luck 😉

Tau number (instead of conclusion).

People who are far from mathematics most likely do not know, but it so happened that the number Pi has a brother who is twice as large as it. This number is Tau(τ), and if Pi is the ratio of circumference to diameter, then Tau is the ratio of that length to radius. And today there are proposals by some mathematicians to abandon the number Pi and replace it with Tau, since this is in many ways more convenient. But so far these are only suggestions, and as Lev Davidovich Landau said: “ New theory begins to dominate when the supporters of the old die out.

), and it became generally accepted after the work of Euler. This designation comes from initial letter Greek words περιφέρεια - circle, periphery and περίμετρος - perimeter.

Ratings

  • 510 searches: π ≈ 3,141 592 653 589 793 238 462 643 383 279 502 884 197 169 399 375 105 820 974 944 592 307 816 406 286 208 998 628 034 825 342 117 067 982 148 086 513 282 306 647 093 844 609 550 582 231 725 359 408 128 481 117 450 284 102 701 938 521 102 701 938 521 105 559 644 622 948 954 930 381 948 954 930 964 964 428 810 975 665 933 446 128 475 648 233 786 783 165 271 201 909 145 648 566 923 460 348 610 454 326 648 213 393 607 260 249 141 273 724 587 006 606 315 588 174 881 520 920 962 829 254 091 715 364 367 892 590 360 011 330 530 548 820 466 521 384 146 951 941 511 609 433 057 270 365 759 591 953 092 186 117 381 932 611 793 105 118 548 074 462 379 962 749 567 351 885 752 724 891 227 938 183 011 949 129 833 673 362…

Properties

Ratios

There are many formulas with the number π:

  • Wallis formula:
  • Euler's identity:
  • T. n. "Poisson integral" or "Gauss integral"

Transcendence and irrationality

Unresolved issues

  • It is not known whether the numbers π and e algebraically independent.
  • It is not known whether the numbers π + e , π − e , π e , π / e , π e , π π , e e transcendent.
  • Until now, nothing is known about the normality of the number π; it is not even known which of the digits 0-9 occur in the decimal representation of the number π an infinite number of times.

Calculation history

and Chudnovsky

Mnemonic rules

In order not to make mistakes, We must read correctly: Three, fourteen, fifteen, Ninety-two and six. You 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 engage in science, Everyone should know this. You can just try and repeat more often: "Three, fourteen, fifteen, Nine, twenty-six and five."

2. Count the number of letters in each word in the phrases below ( ignoring punctuation marks) and write down these numbers in a row - not forgetting the decimal point after the first digit "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.

(The second mnemonic is correct (with rounding of the last digit) only when using pre-reform orthography: when counting the number of letters in words, hard signs must be taken into account!)

Another version of this mnemonic notation:

This I know and remember very well:
Pi many signs are superfluous to me, in vain.
Let's trust the vast knowledge
Those who have counted, numbers armada.

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, dangerous fluff spirit!

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

funny facts

Notes

See what "Pi" is in other dictionaries:

    number- Reception Source: GOST 111 90: Sheet glass. Specifications original document See also related terms: 109. Number of betatron oscillations ... Dictionary-reference book of terms of normative and technical documentation

    Ex., s., use. very often Morphology: (no) what? numbers for what? number, (see) what? number than? number about what? about the number; pl. what? numbers, (no) what? numbers for what? numbers, (see) what? numbers than? numbers about what? about mathematics numbers 1. Number ... ... Dictionary of Dmitriev

    NUMBER, numbers, pl. numbers, numbers, numbers, cf. 1. A concept that serves as an expression of quantity, something with the help of which objects and phenomena are counted (mat.). Integer. A fractional number. named number. Prime number. (see simple1 in 1 value).… … Explanatory Dictionary of Ushakov

    An abstract designation, devoid of special content, of any member of a certain series, in which this member is preceded or followed by some other definite member; an abstract individual feature that distinguishes one set from ... ... Philosophical Encyclopedia

    Number- Number is a grammatical category that expresses the quantitative characteristics of objects of thought. The grammatical number is one of the manifestations of a more general linguistic category of quantity (see the Linguistic category) along with a lexical manifestation (“lexical ... ... Linguistic Encyclopedic Dictionary

    A number approximately equal to 2.718, which is often found in mathematics and science. For example, during the decay of a radioactive substance after time t, a fraction equal to e kt remains from the initial amount of substance, where k is a number, ... ... Collier Encyclopedia

    BUT; pl. numbers, villages, slam; cf. 1. A unit of account expressing one or another quantity. Fractional, integer, simple hours. Even, odd hours. Count as round numbers (approximately, counting as whole units or tens). Natural hours (positive integer ... encyclopedic Dictionary

    Wed quantity, count, to the question: how much? and the very sign expressing quantity, the figure. Without number; no number, no count, many many. Put the appliances according to the number of guests. Roman, Arabic or church numbers. Integer, contra. fraction. ... ... Dahl's Explanatory Dictionary

    NUMBER, a, pl. numbers, villages, slam, cf. 1. The basic concept of mathematics is the value, with the help of which the swarm is calculated. Integer hours Fractional hours Real hours Complex hours Natural hours (positive integer). Simple hours (natural number, not ... ... Explanatory dictionary of Ozhegov