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Slide 1
The presentation was made by a student of 11th grade B of secondary school No. 16 Oseeva Alexandra. Supervisor Ivantsova E.A.Slide 2
Pi is a mathematical constant equal to the ratio of the circumference of a circle to its diameter. The number pi is irrational and transcendental, the digital representation of which is an infinite non-periodic decimal fraction - 3.141592653589793238462643... and so on ad infinitum.
Slide 3
The history of the number P, which expresses the ratio of the circumference of a circle to its diameter, began in Ancient Egypt. The area of a circle with diameter d was determined by Egyptian mathematicians as (d-d/9)2 (this notation is given here in modern symbols). From the above expression we can conclude that at that time the number p was considered equal to the fraction (16/9)2, or 256/81, i.e. p = 3.160...
Slide 4
Archimedes in the 3rd century. BC. in his short work “Measuring a Circle” he substantiated three propositions: Every circle is equal in size to a right triangle, the legs of which are respectively equal to the length of the circle and its radius; The areas of a circle are related to a square built on a diameter as 11 to 14; The ratio of any circle to its diameter is less than 3 1/7 and greater than 3 10/71.
Slide 5
The British mathematician Jones first used the Greek letter designation for this number in 1706, and it became generally accepted after the work of Leonhard Euler in 1737. This designation comes from the initial letter of the Greek words περιφέρεια - circle, periphery and περίμετρος - perimeter.
Slide 6
Pi Day is celebrated by some mathematicians on March 14 at 1:59 (in the American date system - 3/14; the first digits of the number π = 3.14159). It is usually celebrated at 1:59 pm (in the 12-hour system), but those who adhere to the 24-hour light time system consider it to be 1:59 pm and prefer to celebrate at night. At this time, they read eulogies in honor of the number pi, its role in the life of humanity, draw dystopian pictures of a world without pi, eat pie, drink drinks and play games starting with “pi”. Albert Einstein was born on March 14, Pi Day. The day of the approximate value of pi is also celebrated - July 22 (22/7).
Slide 7
The way to calculate pi is to use formulas with an infinite number of terms. For example: π = 2 2/1 (2/3 4/3) (4/5 6/5) (6/7 8/7) ... π = 4 (1/ 1 – 1/3) + (1/5 – 1/7) +(1/9 – 1/11) + ...
Slide 8
In what personality Pi is personified today is not clear, but in order to see the meaning of this number for our world, you don’t need to be a mathematician: Pi manifests itself in everything that surrounds us. And this, by the way, is very typical for any intelligent being, which, without a doubt, is Pi!
Number π. What is this? The number π is a mathematical constant. The number π is a number that is equal to the ratio of the circumference of a circle to its diameter.
History of the number π The history of the number begins with an Egyptian papyrus in 2000 BC.
The notation for the number π The notation for the number π comes from the Greek word perijerio periphery, which means circle. This notation was first used in 1706 by the English mathematician William Jones, but it became generally accepted after Leonhard Euler began to systematically use it (starting in 1736).
Babylon and the number π According to experts, this number was discovered by Babylonian magicians. The Babylonians used only a rough approximation, defining π as the number 3. The number π was used in the construction of the famous Tower of Babel. However, insufficiently accurate calculation of the value of π led to the collapse of the entire project.
Archimedean number π Twenty-two owls were bored on large dry branches. Twenty-two owls dreamed of seven big mice
Greece and the number π Archimedes proved that the number π is the same for any circle. The mathematical method of Archimedes led to the knowledge of the geometric form, to which objects more or less approach, and the laws of which must be known if we want to influence the material world. Architecture appeared in Ancient Greece, and where there is architecture, there are calculations.
China and the number π Computer technology based on approximate calculations has flourished in China. An example is the calculation of the ratio of the circumference of a circle to its diameter by the Chinese mathematician Tzu Chun-chih (430-501), who obtained an approximation of 355/113, giving 7 correct significant figures, and showed that the number π lies in the range: 3.1415296 <, <, 3.1415297
India and the number π Aryabhatta (born 476 AD) found the exact value to be 3.1416 or 62832/20000. The number 377/120 was calculated by Budhayan. He gave versions of what is known as the Pythagorean Theorem in the 6th century. The number 3927/1250 was calculated by Bhaskara (born in 1114 AD) calculated the number π.
Russia and the number π Since the time of Peter I, they have been engaged in geometric calculations in astronomy, mechanical engineering, shipbuilding, and electrical engineering. A couplet was invented to remember the number Pi. In the textbook by L.F. Magnitsky Arithmetic, it is written according to the rules of the old Russian orthography, according to which a soft or hard sign must be placed after a consonant at the end of a word. Whoever, jokingly and soon, wishes Pi to know the number - already knows.
Pursuit of signs 1) Andrian Antonis - 6 exact decimal places (in the 16th century), 2) Tzu Chun-chih (China) - 7 decimal places (5th century AD), 3) Francois Viet - 9 decimal places , 4) Adrian van Romen - 15 decimal places (1593), 5) al-Kashi - 17 decimal places (XV century) 6) Ludolf van Kelen - 20 decimal places, 7) Ludolf van Zeilen - 32 decimal places ( 1596). In his honor, the number Pi was named Ludolph's number by his contemporaries. 8) Abraham Sharp - 72 decimal places 9) Z. Daze - 200 decimal places (1844) 10) T. Clausen - 248 decimal places (1847) 11) Richter - 330 places, Z. Daze - 440 places and W. Shanks - 513 characters (1853)
The computer and the number π 1949 - 2037 decimal places 1958 - 10,000 decimal places 1961 - 100,000 decimal places 1973 - 10,000,000 decimal places 1986 - 29,360,000 decimal places 1987 - 134,217,000 decimal places 19 89 year - 1011196691 decimal place 1991 year - 2260000000 decimal places 1994 - 4044000000 decimal places 1995 - 4294967286 decimal places 1997 - 51539600000 decimal places 1999 - 206158430000 decimal places.
Birthday of the number π 20 years ago, the Exploratorium Museum (San Francisco) held a Celebration of the Number π. This date coincided with the birthday of Albert Einstein, an outstanding scientist of the 20th century.
Celebration of the number π The main ceremony takes place in the museum. The climax occurs at 1 hour 59 minutes 26 seconds after noon. The participants of the holiday march along the walls of the round hall, singing songs about the number, and then eat round pie-rogs and pi-zza, drink na-pi-tki and play games that begin with Pi-. A brass plate is placed in the center of the hall, on which the number is engraved with the first 100 decimal places.
Seattle Museum of Art A metal sculpture of a number is installed on the steps in front of the building at the beginning of the pedestrian area.
The great ones about the number π The calculation of the exact value of p in all centuries has invariably turned out to be that will-o'-the-wisp that carried away hundreds, if not thousands, of unfortunate mathematicians who spent invaluable years in the vain hope of solving a problem that defied the efforts of their predecessors, and thereby gaining immortality. Carroll L. (Dodgson) Wherever we turn our eyes, we see a nimble and industrious number: it is contained in the simplest wheel, and in the most complex automatic machine. Kimpan F.
Remembering the number π What do I know about circles (3.1416). This I know and remember perfectly - Pi many signs are unnecessary for me, in vain (3.14159265358) Learn and know in the number known behind the figure, note the figure as luck (3.14159265358).
S. Bobrov The magic bicorn Proud Rome trumpeted victory Over the stronghold of Syracuse, But I am much more proud of the works of Archimedes. We need to do something today, Do the old fashioned honor, So that we don’t make mistakes, So that we can count the circle correctly, We just have to try, And remember everything as it is Three - fourteen - fifteen - ninety-two and six!
Presentation on the topic "The history of the number π" in geometry in powerpoint format. The presentation for schoolchildren outlines facts related to the history of calculating Pi, as well as simply interesting facts. Author of the presentation: Bortsov Ilya, Sahakyan Tsovak.
Fragments from the presentation
Introduction
Pi (π) is a letter of the Greek alphabet used in mathematics to denote the ratio of the circumference of a circle to its diameter. This designation comes from the initial letter of the Greek words περιφέρεια - circle, periphery and περίμετρος - perimeter. It became generally accepted after the work of L. Euler dating back to 1736, but it was first used by the English mathematician W. Jones (1706). Like any irrational number, π is represented by an infinite non-periodic decimal fraction: π = 3.141592653589793238462643...
Calculation history
- The first step in studying the properties of the number π was made by Archimedes. In his essay “Measuring a Circle” he derived the famous inequality: [formula]
- This means that π lies in an interval of length 1/497. In the decimal number system, three correct significant figures are obtained: π = 3.14…. Knowing the perimeter of a regular hexagon and successively doubling the number of its sides, Archimedes calculated the perimeter of a regular 96-gon, from which the inequality follows. A 96-gon visually differs little from a circle and is a good approximation to it.
- In the same work, successively doubling the number of sides of the square, Archimedes found the formula for the area of a circle S = π R2. Later, he also supplemented it with the formulas for the area of a sphere S = 4 π R2 and the volume of a sphere V = 4/3 π R3.
- In ancient Chinese works there are a variety of estimates, of which the most accurate is the well-known Chinese number 355/113. Zu Chongzhi (5th century) even considered this meaning to be accurate.
- Ludolf van Zeijlen (1536-1610) spent ten years calculating the number π with 20 decimal digits (this result was published in 1596). Using Archimedes' method, he brought the doubling to an n-gon, where n=60·229. Having outlined his results in the essay “On the Circle,” Ludolf ended it with the words: “Whoever has the desire, let him go further.” After his death, 15 more exact digits of the number π were discovered in his manuscripts. Ludolf bequeathed that the signs he found be carved on his tombstone. In honor of him, the number π was sometimes called the "Ludolfo number".
- But the mystery of the mysterious number has not been resolved to this day, although it still worries scientists. Attempts by mathematicians to completely calculate the entire number sequence often lead to curious situations. For example, the mathematicians Chudnovsky brothers at Brooklyn Polytechnic University designed a super-fast computer specifically for this purpose. However, they failed to set a record - so far the record belongs to the Japanese mathematician Yasumasa Kanada, who was able to calculate 1.2 billion numbers of an infinite sequence.
- The unofficial holiday "Pi Day" is celebrated on March 14, which in American date format (month/day) is written as 3/14, which corresponds to the approximate value of Pi.
- Another date associated with the number π is July 22, which is called “Approximate Pi Day”, since in the European date format this day is written as 22/7, and the value of this fraction is the approximate value of the number π.
- The world record for memorizing the signs of the number π belongs to the Japanese Akira Haraguchi. He memorized the number π to the 100,000th decimal place. It took him almost 16 hours to name the entire number.
- The German king Frederick II was so fascinated by this number that he dedicated to it... the entire palace of Castel del Monte, in the proportions of which Pi can be calculated. Now the magical palace is under the protection of UNESCO.
Conclusion
Currently, the number π is associated with a difficult-to-see set of formulas, mathematical and physical facts. Their number continues to grow rapidly. All this speaks of a growing interest in the most important mathematical constant, the study of which has spanned more than twenty-two centuries.
The mysterious number PI.
Methods of calculation.
The work was completed by 7th grade student Ksenia Babitskaya
Supervisor:
Spitsyna T.D.,
mathematic teacher
MBOU TSOSH No. 1 named after A.A. Mezentsev
π is a mathematical constant that expresses the ratio of the circumference of a circle to the length of its diameter.
Definition
“This number managed to hold captive the thoughts and feelings of not only mathematicians and astronomers, but also philosophers and artists for thousands of years.”.
Some data is quite difficult to remember. But by discovering new facts about pi, you can better remember the number and understand topics related to pi.
Problem
explore the history and significance of the number π at the present stage of development of mathematics. Conduct your own research experience on calculating the number π.
- study the literature to obtain information about the history of the number π;
- establish some facts from the “modern biography” of the number π;
- conduct experiments to calculate the approximate value of the number π
Object of study: Number π
Subject of study: Interesting facts related to the number π, practical calculations.
Research methods
- Working with educational and popular science literature, Internet resources;
- Observation, comparison, analysis, analogy.
3 periods in
number history
- ancient period during which π was studied from the perspective of geometry,
- the classical era that followed the development of calculus in Europe in the 17th century
- era of digital computers.
How did it all begin?
- The discoverers of the number π can be considered people of prehistoric times, who When weaving baskets, we noticed that in order to get a basket of the required diameter, it is necessary to take rods 3 times longer than it.
- Burnt clay tablets were found in Mesopotamia that record this fact.
The most ancient formulation of finding the number “PI” is contained in the verses of the Indian mathematician ARIABHATA (5-6th century).
Add 4 to a hundred and multiply by 8,
Then add another 62,000.
When you divide the result by 20,000,
Then the meaning will be revealed to you
The ratio of the circumference of a circle to two radii.
“And he made the sea, cast from copper, ten cubits from its edge to its edge, completely round... and a cord of thirty cubits hugged it all around.”
Bible
According to the exact calculations of Archimedes, the ratio of the circumference to the diameter is between the numbers 3 * 10/71 and 3 * 1/7, which means that π = 3.1419...
To estimate the number π, Archimedes (3rd century BC) calculated the perimeters of inscribed and circumscribed polygons from six to 96. This method of calculating the circumference of a circle from the perimeters of inscribed and circumscribed polygons was used by many eminent mathematicians for almost 2000 years. Archimedes received:
Those. π ≈ 3.1418
For a long time, everyone used the number value equal to
In the 15th century, the Iranian mathematician al-Kashi found the meaning of "PI" with 16 correct signs
A century and a half later in Europe, F. Viet
found a number with only 9 correct
in decimal places, making 16 doublings
number of sides of polygons
William Jones (1675-1749) introduced the symbol "π" into 1706 year.
This designation comes from the initial letter of the Greek words περιφέρεια - circle, periphery and περίμετρος - perimeter.
(1736 St. Petersburg), who calculated the value of π with an accuracy of 153 decimal places, the designation π becomes generally accepted.
Number pi in sciences
- Algebra:π is an irrational and transcendental number.
- Trigonometry: radian measurement of angles.
- Planimetry: length of a circle and its arc; area of a circle and its parts.
- Stereometry: volume of the ball and parts; volume of a cylinder, cone and truncated cone; surface area of a cylinder, cone and sphere.
- Physics: theory of relativity; quantum mechanics; nuclear physics.
- Theory probabilities: Stirling formula for calculating factorial.
- In addition, in astronomy, astronautics, architecture, navigation, electronics and many others.
- Who, jokingly, will soon wish
- What do I know about circles? (respectively 3.1416).
- So I know the number called Pi. (respectively 3.141592).
- I know and remember this very well.
“Pi” knows the number - he already knows.
“Pi” many signs are unnecessary for me, in vain. (respectively 3.14159265358).
PI in verse
or how easier it is to remember
So that we don't make mistakes,
You need to read it correctly:
Three, fourteen, fifteen,
If we ask you -
It will be five, three, five,
Eight, nine, eight.
PI in verse
or how easier it is to remember
Yakov Perelman, a famous mathematician, writes:- Among the students of E.Ya. Terskov, a mathematics teacher at one of the secondary schools in Moscow, the following line he invented is popular: “This I know and remember perfectly.” And one of his students, Esya Cherikover, with the resourcefulness characteristic of our schoolchildren, composed a witty, slightly ironic continuation: “And many signs are unnecessary for me, in vain.” The resulting couplet gave 11 decimal places: 3.14159265358.
PIE I wish I could determine pi Eureka cried the great inventor Christmas pudding Christmas pie Is the problem"s very center.
See I have a rhyme assisting My feeble brain, its tasks offtimes resisting.
(Look, I have a rhyme to help My weakening brain resist time) 3,141592653589.
The French came up with a much more effective verse. It contains two and a half times more characters:
Que j'aime à faire apprendre un nombre utile aux sages!
Immortel Archimède, sublime ingénieur,
Qui de ton jugement peut sonder la valeur?
Pour moi ton problème eut de pareils avantages.
We have 3.141592653589793238462643383279
Japanese Akira Haraguchi and Ukrainian Andrey Slyusarchuk
“Doctor Pi” Andrey Slyusarchuk memorized 30 million digits of pi!
Birthday number pi
- There is an alternative version of the holiday - July 22. It's called Approximate Pi Day. The fact is that representing this date as a fraction (22/7) also gives the number Pi as a result.
- It is believed that the holiday was invented in 1987 by San Francisco physicist Larry Shaw, who noticed that the date and time coincided with the first digits of the number π.
Formula with PI in the painting of the corridor of the main building of KPI
Visual works Pirouette
Clock - hint
in trigonometry
Pirates! Visual works
Pi on the sidewalk (Zurich)
Visual works Mazda PI
There is even a monument to the number pi in Seattle.
KE Visual works
Pi on sunglasses (Vancouver)
The monument is located in the Sculpture Park (New Jersey, USA). Visual worksA stone with the inscription Pi found on a Greek beach.
Visual works Installation on "approximate Pi day"Pi in the mountains
(Whistler, Canada)
Visual works Military Pyramid
Pi-shape for ice
In the song, which the singer called “Pi,” 124 numbers from the famous number series 3,141 were sounded... Hotel "3.14"The hotel is located in Cannes, 50 meters from the Croisette, 80 km from Monaco, 52 km from St. Tropez, 35 km from Nice International Airport.
Hotel "3.14", symbolizing the foundations of our world, enchants guests with its original refraction of the traditions of different countries and whimsical stylistic elements.
In culture
Books about numbers:
A.V. Zhukov "The Ubiquitous Number π",
"On the number pi".
F. Kympan "History of the number π".
Feature Film PI is a 1998 American psychological thriller, the first feature film directed by Daren Aranowski. Named after the mathematical constant "PI".
Practical part
The simplest measurements and calculations using the formula C=πd.
CONCLUSION: the ratio of circumference to diameter is approaching 3.
The simplest measurements and calculations using the formula C=πd.
Draw a square on a sheet of cardboard. Let's write a circle in it. Let's cut out a square. Let's determine the mass of a cardboard square using school scales. Let's cut a circle out of the square. Let's weigh him too.
Knowing the masses of the square mkv = 10 g and the circle inscribed in it mkr = 7.8 g, we will calculate the values of π.
Measuring by weighing
- π=4 mcr / mkv =4*5|6,7=3,01
- π=4 mcr / mkv =4*7,2|9,6=3,00
- π=4 mcr / mkv =4*8,3|10,6=3,13
Conclusion: All these numbers are close to the number 3.
Measurement by observation and calculation
(Number of days in 2010) / (Number of days off in 2010) = 3.14
Checking human body ratios
π = 2· Ф· h/ H Ф=1.62 (Phidias number)
1) my indicators are H = 144 cm, h = 140 cm, π = 3.15
2) classmate’s indicators H = 162 cm, h = 158 cm, π = 3.16
3) classmate’s indicators H = 155 cm, h = 151 cm, π = 3.16
Conclusion: number π
Summing the areas of rectangles inscribed in a semicircle
The area S of a semicircle can be calculated using the formula
S = (b – a) ((f(x0) + f(x1) + … + f(xn-1)) / n.
In our case b=1, a=-1. Then
REM "Pi Calculation"
REM "Rectangle Method"
INPUT "Enter the number of rectangles", n
FOR i = 0 TO n - 1
f = SQR(1 - x^2)
PRINT "The value of pi is equal to", p
The resulting number values are written in the table
Conclusion: the value of the number π is 3.19
In my work, I became more familiar with number - one of the eternal values that humanity has been using for many centuries.
I learned some aspects of its rich history. I found out why the ancient world did not know the correct ratio of circumference to diameter.
I looked at the different ways to get the number. Based on experiments, I calculated the approximate value of the number in various ways.
Conducted processing and analysis of the experiment results.
Any schoolchild today should know what a number means and approximately equals.
I tried to lift the veil of the rich history of the number that humanity has been using for many centuries.
1 slide
Thumbnail" src="http://uslide.ru/images/26/32185/389/img2.jpg" alt="Goals: To introduce the number π. To carry out practical work on finding the number π..." title="Objectives: To introduce the number π. Carry out practical work on finding the number π...">!}
3 slide
Objectives: To introduce the number π. Carry out practical work on finding the number π. Find out the practical meaning of the number π. Find mnemonic rules for memorization.
4 slide
Number π (pi) Number π is a mathematical constant expressing the ratio of the circumference of a circle to the length of its diameter. In numerical terms, π begins as 3.141592 and has an infinite mathematical duration.
5 slide
3. 1415926535 8979323846 2643383279 5028841971 6939937510 5820974944 5923078164 0628620899 8628034825 3421170679 8214808651 3282306647 0938446095 5058223172 5359408128 4811174502 8410270193 8521105559 6446229489 5493038196 4428810975 6659334461 284 7564823 3786783165 2712019091 4564856692 3460348610 4543266482 1339360726 0249141273 7245870066 0631558817 4881520920 9628292 540 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 76 69405132 0005681271 4526356082 7785771342 7577896091 7363717872 1468440901 2249534301 4654958537 1050792279 6892589235 420199 5611 2129021960 8640344181 5981362977 4771309960 5187072113 4999999837 2978049951 0597317328 1609631859 5024459455 3469083026 4252230825 3344685035 2619311881 7101000313 7838752886 5875332083 8142061717 7669147303 5982534904 2875546873 1159562863 882 3537875 9375195778 1857780532 1712268066 1300192787 6611195909 2164201989 3809525720 1065485863 2788659361 5338182796 8230301952 0353018529 6899577362 2599413891 2497217752 83 47913151 5574857242 4541506959 5082953311 6861727855 8890750983 8175463746 4939319255 0604009277 0167113900 9848824012 858361 6035 6370766010 4710181942 9555961989 4676783744 9448255379 7747268471 0404753464 6208046684 2590694912 9331367702 8989152104 7521620569 6602405803 8150193511 2533824300 3558764024 7496473263 Today the value of the PI number is known, it is equal to :
6 slide
History For the first time, the British mathematician Jones (1706) used the designation of this number with a Greek letter, and it became generally accepted after the work of Leonhard Euler in 1737. This designation comes from the initial letter of the Greek words περιφέρεια - circle, periphery and περίμετρος - perimeter.
7 slide
Irrational number π is an irrational number, that is, its value cannot be accurately expressed as a fraction m/n, where m and n are integers. Therefore, its decimal representation never ends and is not periodic. The irrationality of π was first proven by Johann Lambert in 1767 by factoring the number into a continued fraction. In 1794, Legendre gave a more rigorous proof of the irrationality of the numbers π and π2.
8 slide
The transcendence of the number π is a transcendental number, which means that it cannot be the root of any polynomial with integer coefficients. The transcendence of the number π was proven in 1882 by Lindemann, a professor at the University of Königsberg and later at the University of Munich. The proof was simplified by Felix Klein in 1894. Since in Euclidian geometry the area of a circle and the circumference of a circle are functions of the number π, the proof of the transcendence of π put an end to the dispute about the squaring of the circle, which lasted more than 2.5 thousand years.
Slide 9
10 slide
Circumference Theorem 9.6. The ratio of a circle's circumference to its radius is independent of the circumference. Proof Let's take two arbitrary circles ω1 and ω2. Let R1 and R2 be their radii, and l1 and l2 their lengths, respectively. Let us assume that the statement of the theorem is false and Let us inscribe regular polygons in the circles. For sufficiently large n, the lengths of the circles ω1 and ω2 will differ as little as desired from the perimeters of the inscribed polygons P1 and P2, respectively. This means that we can choose n such that l1 – P1 = δ1 > 0 and l2 – P2 = δ2 > 0. Let us substitute the expressions for l1 and l2 from these equalities into the assumed inequality: But by Corollary 9.3 and hence Here ε is a fixed number, δ1 and δ2 can be made very small by choosing a very large n. For example, by choosing n one can do Then, obviously, this leads to a contradiction. The theorem has been proven. The ratio of the circumference to the diameter is usually denoted by the Greek letter π (read “pi”). From here the circumference is calculated using the formula
11 slide
Let's do practical work. Let's take any 5 objects: a tennis ball, a glass, a mug, a jar, a jar for tennis balls.
12 slide
Slide 13
Slide 14
Let's make a table based on the data we found. Conclusion: the ratio of the circumference to the diameter is approaching 3.14 Data Object Circumference (l) Diameter (d) L d (Rounded to thousandths) Tennis ball 20 cm 6.4 cm 3.125 cm Glass 17.5 cm 5.5 cm 3.182 cm Mug 26.7 cm 8.5 cm 3.141 cm Jar 19 cm 6 cm 3.167 cm Tennis ball jar 23.7 cm 7.5 cm 3.160 cm
15 slide
International Pi Day On March 14, the world celebrates one of the most unusual holidays - “Pi Day”. In American writing, today's date looks like 3.14, hence the explanation for why this holiday is celebrated on this day. According to experts, this number was discovered by Babylonian magicians. It was used in the construction of the famous Tower of Babel. However, the 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 Pi coincides with the birthday of one of the most outstanding physicists of our time - Albert Einstein.
16 slide
“Pi” has been familiar to all of us since childhood from many mathematical and physical formulas. One such formula was included in the painting of the corridor of the main building of the KPI near the Great Physical Auditorium (artists L. and T. Dmitrenko): Here it is, to the right of Niels Bohr, to the left of Albert Einstein. As far as I can tell, this is Bohr's quantum condition with the radius of the electron's orbit denoted by "a".
Slide 17
There is even a monument to the number pi in Seattle.
18 slide
Record for memorizing the number π Humanity has been trying to remember the signs of p for a long time. But how to put infinity into memory? A favorite question of professional mnemonists. Many unique theories and techniques for mastering a huge amount of information have been developed. Many of them have been tested on p. The world record set in the last century in Germany is 40,000 characters. The Russian record for values of the number p was set on December 1, 2003 in Chelyabinsk by Alexander Belyaev. In an hour and a half with short breaks, Alexander wrote 2500 digits of the number p on the blackboard. Before this, listing 2,000 characters was considered a record in Russia, which was achieved in 1999 in Yekaterinburg. According to Alexander Belyaev, head of the center for the development of figurative memory, any of us can conduct such an experiment with our memory. It is only important to know special memorization techniques and practice periodically.
20 slide
Mnemonic rules In order for us 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 do science, everyone should know this. You can just try and repeat more often: “Three, fourteen, fifteen, Nine, twenty-six and five.”
21 slides
www.calend.ru/holidays/0/0/1919/ http://crow.academy.ru/dm/materials_/pi/mem.htm http://ru.wikipedia.org/wiki/Pi
