pi

Definitions

  • WordNet 3.6
    • n PI an antiviral drug used against HIV; interrupts HIV replication by binding and blocking HIV protease; often used in combination with other drugs
    • n pi the 16th letter of the Greek alphabet
    • n PI the scientist in charge of an experiment or research project
    • n PI someone who can be employed as a detective to collect information
    • n pi the ratio of the circumference to the diameter of a circle; approximately equal to 3.14159265358979323846...
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Webster's Revised Unabridged Dictionary
  • Interesting fact: If you need to remember pi, just count the letters in each word of the sentence: "May I have a large container of coffee?" If you get the coffee and are polite say: "Thank you," get two more decimal places. (3.141592653...). Here is another sentance: How I wish I could calculate Pi. (3.141592)
    • Pi A Greek letter (Π, π) corresponding to the Roman letter P.
    • n Pi (Print) A mass of type confusedly mixed or unsorted.
    • Pi (Math) The letter π, Π, as used to denote the number or quotient approximately expressing the ratio of the circumference of a circle to its diameter; also, the quotient or the ratio itself. The value of the quotient pi, to twenty decimal places, is 3.14159265358979323846 (see note). The number pi is an irrational number, i.e. it cannot be expressed as the quotient of two integers. It is also a transcendental number, i.e. it cannot be expressed as a root of an algebraic equation with a finite number of terms; and from this fact follows the impossibility of the quadrature of the circle by purely algebraic processes, or by the aid of a ruler and compass.
    • v. t Pi (Print) To put into a mixed and disordered condition, as type; to mix and disarrange the type of; as, to pi a form.
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Century Dictionary and Cyclopedia
  • Interesting fact: In the 17th century, the number pi was known to 35 decimal places. Today, to 1.2411 trillion.
    • n pi Printing-types mixed together indiscriminately; type in a confused or jumbled condition or mass.
    • pi To reduce (printing-types) to a state of pi.
    • n pi The name of the Greek letter Π, π, corresponding to the Roman P, p.
    • n pi The name of a symbol (π) used in geometry for the ratio of the circumference of a circle to its diameter. or 3.1415927: first so used by Euler.
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Chambers's Twentieth Century Dictionary
  • Interesting fact: The 772-778 Digits of pi are 9999998.
    • n Pi a mass of types confusedly mixed
    • v.t Pi to reduce to a mixed mass, or to a state of pi, as types
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Quotations

  • Lisa Hoffman
    Lisa Hoffman
    “Love is like pi -- natural, irrational, and very important.”

Etymology

Webster's Revised Unabridged Dictionary
See Pica Pie magpie, service-book

Usage

In literature:

Even the great strong Sha'-la-k'o and the swift Sa-la-mo-pi-a walked zigzag in their trails, from the weakness of hunger.
"Zuñi Fetiches" by Frank Hamilton Cushing
Wa-mln-pi-lu-ta, his x mark, Red Eagle.
"Three Years on the Plains" by Edmund B. Tuttle
Exactly on schedule, fourteen days and some hours after we had started off, we passed Pi Orionis.
"Out Around Rigel" by Robert H. Wilson
Tau Beta Pi in engineering likewise came in the field in 1906.
"The University of Michigan" by Wilfred Shaw
Pieria (pi-ee'-re-ah), 119, 158.
"Myths and Legends of Ancient Greece and Rome" by E.M. Berens
The Demon described as "pi" tickled their ribs.
"The Hill" by Horace Annesley Vachell
Tzu-lu made Tzu-kao governor of Pi.
"The Sayings Of Confucius" by Confucius
Each girl and boy was asked to put the "pi" together and paste it on the inside of the plate.
"American Cookery" by Various
Iowa wi; Dak pi plural suffix seems to be a contraction of this base.
"The Dakotan Languages, and Their Relations to Other Languages" by Andrew Woods Williamson
Their arms are the kris and spear; occasionally they carry the sum-pi-tan, and poisoned arrows.
"Borneo and the Indian Archipelago" by Frank S. Marryat
He scratched the pi sign.
"Eight Keys to Eden" by Mark Irvin Clifton
It was near Pi-ha'hiroth that the Egyptians came up with the Hebrews.
"The Works of Theophile Gautier, Volume 5" by Theophile Gautier
The first man to come forward was named So Pi-Lo.
"The Chinese Fairy Book" by Various
Roaming at will through the village are pigs and poultry, geese and cattle, and the inevitable "pi dog" of the country.
"Burma" by R.Talbot Kelly
Now it's pi, which we'll sho'ly feed out by the bullet weight, sir.
"The Missourian" by Eugene P. (Eugene Percy) Lyle
His elder brother O-pi-tchi-pan became head sachem of the Powatan league.
"Boys' Book of Indian Warriors" by Edwin L. Sabin
Hit's jest a straight, cl'ar pi'cher of a house, an' hit's your house, too, whar brothah David lives at.
"The Mountain Girl" by Payne Erskine
So also are the n^2 relations (Pi Xi) = 1, (Pi Xj) = 0, (Pi Pj) = 0.
"Encyclopaedia Britannica, 11th Edition, Volume 8, Slice 4" by Various
Be this as it may, the Pi-Utes unquestionably represented the most degraded aspect of Indian existence and nature.
"Women of America" by John Rouse Larus
PI Exceeding Joyfull Newes from Lord Saye.
"Edge Hill" by Edwin Walford
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In poetry:

Loud he sang the song Ta Phershon
For his personal diversion,
Sang the chorus U-pi-dee,
Sang about the Barley Bree.
"The Waster Singing at Midnight" by Robert Fuller Murray
To the bar of a thousand ales
From the ship came a conjuring man
A Celanese, from over the seas
By the name of Hugh Pi Kan.
"The Street Of A Thousand Lanterns 1934" by Billy Bennett
With a yell that awoke Limehouse
Wun Lung drew his snicker snee
He stabbed Wong-Wong in her em-bong-bong
And sliced Pi Kan¹s vertebrae.
"The Street Of A Thousand Lanterns 1934" by Billy Bennett
Ardi, un'ala sul mare è solitaria.
Ondeggia come pallido rottame.
E le sue penne, senza più legame,
sparse tremano ad ogni soffio d'aria.
"L’Ala Sul Mare" by Gabriele D Annunzio
Que la muse, brisant le luth des courtisanes,
Fasse vibrer sans peur l'air de la liberte';
Qu'elle marche pieds nuds, comme la verite'.
ALF. DI MUSSET.
"Letteratura Disonesta" by Ferdinando Fontana
Poor Wong-Wong fell for his magic
For Hugh Pi Kan's love she was burning
And Uncle Wun Lung and to Auntie Who-Flung
'Wong-Wong's going to take the wong turning.
"The Street Of A Thousand Lanterns 1934" by Billy Bennett

In news:

You could say "Life of Pi" is a dramatic departure from Ang Lee's earlier work, except that everything he does is a surprise.
Ang Lee's 'Life of Pi' is a magical, beautiful 3-D voyage.
Ang Lee's Life of Pi is more of a spectacle than a story.
Movies like Life of Pi don't really exist anymore.
Life of Pi' succeeds at every level.
Director Ang Lee on the set of LIFE OF PI.
Ang Lee crafts satisfying solution to 'Life of Pi'.
From flat broke to Brokeback Mountain, the Oscar-winning, New York-based "Life of Pi" director finds a strange magic—and great Chinese food—whenever he's in town.
For 'Life of Pi' director Ang Lee, all movies are a leap of faith.
Director Ang Lee's latest film is "Life of Pi".
Lee is the director the the film, "Life of Pi.".
'Life of Pi' director Ang Lee takes risks, finds balance.
Official trailer for the upcoming film "Life of Pi" released Wednesday.
He initially thought 'Life of Pi' couldn't be adapted to film, but his gut told him otherwise.
Ang Lee's 'Life of Pi' dazzles, inspires as 3-D work of art.
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In science:

The fundamental groupoid of X based at {Pi }i∈I is the groupoid, denoted π1 (X, {Pi }i∈I ), whose vertex set is {Pi }i∈I , and in which the morphisms from Pi to Pj are the homotopy classes of paths from Pi to Pj .
The solution to a conjecture of Tits on the subgroup generated by the squares of the generators of an Artin group
It is not hard to check that xi and pi are the expectation values of the operators ˆQi and ˆPi : xi = hΨ| ˆQi |Ψi, pi = hΨ| ˆPi |Ψi.
A simple variational approach to the quantum Frenkel-Kontorova model
Since [Pi ] ∩ [Pj ] is finite, either [Pi ] ⊆ P j or [Pi ] is contained in the closure of the unbounded component of R3 \ [Pj ].
Rigidity of the interface for percolation and random-cluster models
We know that such a density matrix can be written by ρ = Pi pi |ψi ih ψi |, where the ψi ∈ S (C2 ) and Pi pi = 1.
Coassociative grammar, periodic orbits and quantum random walk over Z
This contradicts to our assumption A · f + deg(π∗A) > 0 since by definition Pi I (f , F )pi = A · f and Pi I (f , Di )pi = deg(π∗A).
Family Gromov-Witten Invariants for Kahler Surfaces
Since pi is a smooth point of C , one can consider the cotangent line T ∗pi C to C at pi .
The uses of random partitions
On any Pi , we have that X (L, k)|Pi = OX (L, k)|Pi ∼= OP2 (k), since eS intersects Pi along a line.
Degeneration of linear systems through fat points on K3 surfaces
Pi wi ) = H m w (Pi wi−), where w(A) = Pi∈A wi .
Weak convergence of random p-mappings and the exploration process of inhomogeneous continuum random trees
Since the direction of pi is not aligned with the direction of dxi we introduce (apart from pi ) the so-called kinematic 4-momentum k i which has the same transformational properties as pi .
Concerning the generalized Lorentz symmetry and the generalization of the Dirac equation
With these definitions the world–sheet supercurrents in the bosonic and fermionic formulations are equivalent, F = Pi χi yiωi = i Pi χi ξiηi = Pi χi∂Xi .
On the Number of Chiral Generations in Z2 X Z2 Orbifolds
Finally, the p–thinning ˆΦp of ˆΦ is the SSPP on Rd obtained by assigning to each realization ˆξ the measure Pi∈I Pi δxi , where {Pi}i∈I are independent Bernoulli variables with Prob(Pi = 1) = p and Prob(Pi = 0) = 1 − p.
Mott law as lower bound for a random walk in a random environment
Taking q-trace over U gives (Trq ⊗ id)(Pi ) = (Trq ⊗ Trq )(Pi )/(id ⊗ Trq )(Pi ) = d(λ + νi )/d(λ), since the q-trace is multiplicative with respect to the tensor product.
Quantum conjugacy classes of simple matrix groups
This quantity is given by ξ = Pi |Ψi |2 / Pi |Ψi |4 for a wavefunction |Ψi = Pi Ψi |ii.
Intermediate quantum maps for quantum computation
Using Pi = π † i ◦ πi with πi : H → Gi and hence H ≃ Li Gi we have |Pi ◦ ψ |FdHilb = |πi ◦ ψ |FdHilb , and for U : H → Li Gi the unique unitary map satisfying pi ◦ U = πi , where pj : Li Gi → Gj are the canonical pro jections, when setting φ := U ◦ψ : C → Li Gi we obtain |ψ |FdHilb = |φ|FdHilb.
De-linearizing Linearity: Projective Quantum Axiomatics from Strong Compact Closure
However, the right-hand side of Eq. (12) can be a quadratic polynomial of ϑ if p = pi or p = 2 pi for all distinct pi ’s.
Simple Models for the Distribution of Dark Matter
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