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Everything about Pi
Number, approximately 3.14
The number π is a mathematical constant, approximately equal to 3.14159, that is the ratio of a circle's circumference to its diameter. It appears in many formulae across mathematics and physics, and some of these formulae are commonly used for defining π, to avoid relying on the definition of the length of a curve. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: PiA 5-minute orientation
- Skim a recent paper: Artificial intelligence and radiologists in prostate cancer detection on MRI (PI-CAI): an international, paired, non-inferiority, confirmatory studyInfluential work since 2022
- Pick up a classic book: The A.B.C. MurdersThe most-reprinted book on the subject
- Read the landmark paper: The nature of .pi.-.pi. interactionsCited 5,103 times
- Go sideways: List of formulae involving πA closely related topic
- Go sideways: Approximations of piA closely related topic
📖 Definitions
Symbol ISO 639-1 language code for Pali.
Noun The sixteenth letter of the Classical and Modern Greek alphabets and the seventeenth in Old Greek.
Noun An irrational and transcendental constant representing the ratio of the circumference of a Euclidean circle to its diameter; approximately 3.14159265.
Noun Metal type that has been spilled, mixed together, or disordered.
🏆 Landmark papers (most cited)
The nature of .pi.-.pi. interactions
Linear solvation energy relationships. 23. A comprehensive collection of the solvatochromic parameters, .pi.*, .alpha., and .beta., and some methods for simplifying the generalized solvatochromic equation
Fractional-order systems and PI/sup /spl lambda//D/sup /spl mu//-controllers
PI-RADS Prostate Imaging – Reporting and Data System: 2015, Version 2
A Single Ataxia Telangiectasia Gene with a Product Similar to PI-3 Kinase
Ras, PI(3)K and mTOR signalling controls tumour cell growth
Rethinking the term “pi-stacking”
The solvatochromic comparison method. 6. The .pi.* scale of solvent polarities
🆕 Influential since 2022
Artificial intelligence and radiologists in prostate cancer detection on MRI (PI-CAI): an international, paired, non-inferiority, confirmatory study
PI-QUAL version 2: an update of a standardised scoring system for the assessment of image quality of prostate MRI
Robust LQR and LQR-PI control strategies based on adaptive weighting matrix selection for a UAV position and attitude tracking control
Face Recognition using Raspberry Pi
Pyrolysis characteristics, gas products, volatiles, and thermo–kinetics of industrial lignin via TG/DTG–FTIR/MS and in–situ Py–PI–TOF/MS
📚 Books worth reading
The A.B.C. MurdersAgatha Christie · 1936
The Pied Piper of HamelinRobert Browning, Ladybird Books Staff · 1888
Runner's World Complete Book of RunningAmby Burfoot, Juan Carlos Llizama · 1997
A History of π (PI)Petr Beckmann · 1970
Raspberry Pi For DummiesSean McManus, Mike Cook · 2013
Sir Cumference and the Dragon of PiCindy Neuschwander, Cindy Neuschwanger · 1999
ColumbusIngri Parin D'Aulaire, Edgar Parin D'Aulaire · 1955
Best of Favorite Recipes from QuiltersLouise Stoltzfus · 1994
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
🔗 Related topics
- List of formulae involving π The following is a list of significant formulae involving the mathematical constant π. Many of these formulae can be found in the article Pi, or the article…
- Approximations of pi Approximations for the mathematical constant pi (π) in the history of mathematics reached an accuracy within 0.04% of the true value before the beginning…
- Borwein's algorithm Borwein's algorithm was devised by Jonathan and Peter Borwein to calculate the value of 1/π. This and other algorithms can be found in the book Pi and…
- Viète's formula In mathematics, Viète's formula is the following infinite product of nested radicals representing twice the reciprocal of the mathematical constant π:…
- Bailey–Borwein–Plouffe formula The Bailey–Borwein–Plouffe formula (BBP formula) is a formula for π. It was discovered in 1995 by Simon Plouffe and is named after the authors of the article…
- List of topics related to π This is a list of topics related to pi (π), the fundamental mathematical constant. 2π theorem Approximations of π Arithmetic–geometric mean Bailey–Borwein–Plouf…
- Leibniz formula for π In mathematics, the Leibniz formula for π, named after Gottfried Wilhelm Leibniz, states that π4=1−13+15−17+19−⋯=∑k=0∞(−1)k2k+1, an alternating series…
- Peter Borwein Peter Benjamin Borwein (born St. Andrews, Scotland, May 10, 1953 – 23 August 2020) was a Canadian mathematician and a professor at Simon Fraser University…