- published: 12 Mar 2011
- views: 535758
The number π is a mathematical constant, the ratio of a circle's circumference to its diameter, commonly approximated as 3.14159. It has been represented by the Greek letter "π" since the mid-18th century, though it is also sometimes spelled out as "pi" (/paɪ/).
Being an irrational number, π cannot be expressed exactly as a fraction (equivalently, its decimal representation never ends and never settles into a permanent repeating pattern). Still, fractions such as 22/7 and other rational numbers are commonly used to approximate π. The digits appear to be randomly distributed; however, to date, no proof of this has been discovered. Also, π is a transcendental number – a number that is not the root of any non-zero polynomial having rational coefficients. This transcendence of π implies that it is impossible to solve the ancient challenge of squaring the circle with a compass and straightedge.
Ancient civilizations needed the value of π to be computed accurately for practical reasons. It was calculated to seven digits, using geometrical techniques, in Chinese mathematics and to about five in Indian mathematics in the 5th century CE. The historically first exact formula for π, based on infinite series, was not available until a millennium later, when in the 14th century the Madhava–Leibniz series was discovered in Indian mathematics. In the 20th and 21st centuries, mathematicians and computer scientists discovered new approaches that, when combined with increasing computational power, extended the decimal representation of π to, as of 2015, over 13.3 trillion (1013) digits. Practically all scientific applications require no more than a few hundred digits of π, and many substantially fewer, so the primary motivation for these computations is the human desire to break records. However, the extensive calculations involved have been used to test supercomputers and high-precision multiplication algorithms.
Η πρώτη εκπαιδευτική σειρά κινουμένων σχεδίων ελληνικής παραγωγής. Στοχεύει στη μάθηση της ελληνικής αλφαβήτου και γλώσσας μέσα από την ψυχαγωγία. Η γνωριμία του παιδιού με τα γράμματα και τους ήχους της γλώσσας γίνεται μέσα από 24 έμμετρες χιουμοριστικές, σουρεαλιστικές ιστορίες, οι οποίες συνδυάζουν την παιδαγωγική με την παραμυθική και την τηλεοπτική γλώσσα. Το κάθε επεισόδιο λειτουργεί σε ένα πλαίσιο διαθεματικής και ολιστικής προσέγγισης της γνώσης στηρίζοντας το Αναλυτικό Πρόγραμμα με μία καινοτόμο, πρωτότυπη και ελκυστική διάσταση. Ιδέα - Σενάριο: Σοφία Μαντουβάλου Έρευνα - Παιδαγωγική Επιμέλεια: Βίκυ Παναγοπούλου, Σοφία Μαντουβάλου Σκηνοθεσία: Αρίσταρχος Παπαδανιήλ Σχεδιασμός Χαρακτήρων - Εμψύχωση: Αρίσταρχος Παπαδανιήλ Εικονοποίηση Σεναρίου: Σοφία Μαντουβάλου, Αρίσταρχος Παπαδα...
10 Interesting Facts About ... π (Pi) Pi has been studied by the human race for almost 4,000 years. By 2000 B.C., Babylonians established the constant circle ratio as 3-1/8 or 3.125. The ancient Egyptians arrived at a slightly different value of 3-1/7 or 3.143. Archimedes of Syracuse (about 287–212 B.C.) is credited with doing the first calculation of Pi. Egyptologists and followers of mysticism have been fascinated for centuries by the fact that the Great Pyramid at Giza seems to approximate pi. The vertical height of the pyramid has the same relationship to the perimeter of its base as the radius of a circle has to its circumference. Leonardo da Vinci (1452-1519) and artist Albrecht Durer (1471-1528) both briefly worked on “squaring the circle,” or approximating pi. Albert Einste...
For Pi Day 2016 I tried to calculate π by hand, using an infinite series. It goes ok. Before you even start: - Yes, I know π Day requites writing the date MM/DD. By objective measures: the wrong way. I don't care. My love of π is stronger. - My opinion of Tau is a matter of public record: http://youtu.be/ZPv1UV0rD8U CORRECTIONS: - At 17:23 it should be π/4 not 1/π. That was contamination from the next graphic. (First spotted by Najeeb Sheikh and Jake Trookman.) Check out y-cruncher: http://www.numberworld.org/y-cruncher/internals/formulas.html Calculating pi by weighing a circle: https://www.youtube.com/watch?v=Ngj0a57Rlb0 Calculating pi with a pendulum: https://www.youtube.com/watch?v=qYAdXm69l8g Music by Howard Carter Design by Simon Wright MATT PARKER: Stand-up Mathematician Webs...
Pi song! Download a high quality studio recording of this song here! https://loudr.fm/release/song-from/3HVRN Sheet music is avaliable here: http://www.sheetmusicplus.com/title/20044129 This is a song I wrote to help me memorize π, since I can memorize music easier than strings of numbers. In my mind, I can hear the melody, and figure out the numbers.
What is pi? (π explained) a brief explanation of the constant Pi Pi=3.14159265... C = circumference = perimeter D = diameter = line dividing circle in half R = radius = half the diameter circumference to diameter ratios Circumference / Diameter = Pi Diameter x Pi = Circumference Circumference / Pi = Diameter radians 180 / pi = 1 radian area of a circle pi x Radius x Radius = area pi x (Radius)^2 = area
ORIGINAL VIDEO + MIDI DOWNLOAD (by TheSuperMarioBros2): https://www.youtube.com/watch?v=ZQ7ipUQoik8 Let me just clarify I did not make this song or MIDI. I just adapted it onto Synthesia by playing the file onto the program. It is a completely original composition by my friend, TheSuperMarioBros2. I urge you to please watch the above video - it is the author's video on Piano From Above. Download the MIDI if you'd like. Happy Pi Day everyone! This day only occurs once every century! Uploaded on 3/14/15 after 9:26:53 AM (EST) SoundFont Used: Z-Doc Acoustic Piano III -- I accidentally used this instead of Z-Doc Yamaha; apologies. Future videos will use the Yamaha. SoundFont Author: Z-Doc R./ZDocPianoPlayer Author Channel: http://www.youtube.com/user/ZDocPianoPlayer Follow my personal "Ja...
四年になったから皆祝って ギター歴が四年になりました私です。 四周年という事でギターを始めるきっかけとなったRADWIMPSさんのπを弾いてみました。 いやぁ、思ったより長く続けてるものですなぁ。 これからもぼちぼち頑張っていこうと思いますので何卒よろしくお願いします。 主ついったー→https://twitter.com/yumebanch0210
Σ'αυτό το Π.Μ.Ε σας είπα να γράψετε μικρές προτάσεις που θα μπορούσαν να μπουν σε παραμύθι και θα διαλέξω μερικά για να γράψουμε δικό μας παραμύθι μαζί! Δεν ήταν το πιο γαμάτο παραμύθι που άκουσες ποτέ; • Check Out: http://www.2j-official.com • Gaming κανάλι: https://www.youtube.com/user/2jGaming001 • Facebook: https://www.facebook.com/GeorgeIoannou2J • Instagram: http://instagram.com/official2j • Twitter: https://twitter.com/GeorgeIoannou2J • Soundcloud: https://soundcloud.com/georgeioannou2j ► 2J μπλουζάκια, φούτερ & τσάντες: https://www.facebook.com/media/set/?set=a.874796929201501.1073741853.621296447884885&type;=3 και στείλτε τους προσωπικό Facebook μήνυμα για παραγγελία! ► Θήκες για κινητά & iPads: http://www.design-your-phone.com/product-category/2j-covers/ ► Managed by: http:...