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单词 pi
释义

pi


PI

abbr. private investigator

pi 1

P0280900 (pī)n.1. (also pē) The 16th letter of the Greek alphabet. See Table at alphabet.2. Mathematics A transcendental number, approximately 3.14159, represented by the symbol π, that expresses the ratio of the circumference to the diameter of a circle and appears as a constant in many mathematical expressions.
[Late Greek , from Greek pei, of Phoenician origin; see p in Semitic roots.]

pi 2

also pie P0280900 (pī)Printing n. pl. pis also pies An amount of type that has been jumbled or thrown together at random.v. pied (pīd), pi·ing, pies also pied, pie·ing, pies v.tr. To jumble or mix up (type).v.intr. To become jumbled.
[Origin unknown.]

pi

(paɪ) n, pl pis1. (Letters of the Alphabet (Foreign)) the 16th letter in the Greek alphabet (Π, π), a consonant, transliterated as p2. (Mathematics) maths a transcendental number, fundamental to mathematics, that is the ratio of the circumference of a circle to its diameter. Approximate value: 3.141 592…; symbol: π[C18 (mathematical use): representing the first letter of Greek periphereia periphery]

pi

(paɪ) or

pie

n, pl pies1. (Printing, Lithography & Bookbinding) a jumbled pile of printer's type2. a jumbled mixturevb (tr) , pies, piing, pied, pies, pieing or pied3. (Printing, Lithography & Bookbinding) to spill and mix (set type) indiscriminately4. to mix up[C17: of uncertain origin]

pi

(paɪ) adjslang Brit short for pious2, pious3

PI

abbreviation for 1. (Placename) Philippine Islands 2. (Law) private investigator

pi1

(paɪ)

n., pl. pis. 1. the 16th letter of the Greek alphabet (Π, π). 2. a. the letter π, used as the symbol for the ratio of the circumference of a circle to its diameter. b. the ratio itself: 3.14159 +. [1835–45; < Greek pî, peî; used in math to represent Greek periphérion periphery]

pi2

or pie

(paɪ)

n., pl. pies, n. 1. printing type mixed together indiscriminately. 2. any confused mixture; jumble. v.t. 3. to jumble (printing type). 4. to mix up; jumble. [1650–60; orig. uncertain]

P.I.

Philippine Islands.

pi

(pī) An irrational number that has a numerical value of 3.14159265359... and is represented by the symbol π. It expresses the ratio of the circumference to the diameter of a circle and appears as a constant in many mathematical expressions.

pi


Past participle: pied
Gerund: piing
Imperativepipi
PresentI piyou pihe/she/it pieswe piyou pithey pi
PreteriteI piedyou piedhe/she/it piedwe piedyou piedthey pied
Present ContinuousI am piingyou are piinghe/she/it is piingwe are piingyou are piingthey are piing
Present PerfectI have piedyou have piedhe/she/it has piedwe have piedyou have piedthey have pied
Past ContinuousI was piingyou were piinghe/she/it was piingwe were piingyou were piingthey were piing
Past PerfectI had piedyou had piedhe/she/it had piedwe had piedyou had piedthey had pied
FutureI will piyou will pihe/she/it will piwe will piyou will pithey will pi
Future PerfectI will have piedyou will have piedhe/she/it will have piedwe will have piedyou will have piedthey will have pied
Future ContinuousI will be piingyou will be piinghe/she/it will be piingwe will be piingyou will be piingthey will be piing
Present Perfect ContinuousI have been piingyou have been piinghe/she/it has been piingwe have been piingyou have been piingthey have been piing
Future Perfect ContinuousI will have been piingyou will have been piinghe/she/it will have been piingwe will have been piingyou will have been piingthey will have been piing
Past Perfect ContinuousI had been piingyou had been piinghe/she/it had been piingwe had been piingyou had been piingthey had been piing
ConditionalI would piyou would pihe/she/it would piwe would piyou would pithey would pi
Past ConditionalI would have piedyou would have piedhe/she/it would have piedwe would have piedyou would have piedthey would have pied

pi

(") Symbol and name representing the ratio of a circle’s circumference to its diameter. Its value is approximately 3.14.
Thesaurus
Noun1.pi - the ratio of the circumference to the diameter of a circlepi - the ratio of the circumference to the diameter of a circle; approximately equal to 3.14159265358979323846...transcendental number - an irrational number that is not algebraic2.pi - someone who can be employed as a detective to collect informationPI - someone who can be employed as a detective to collect informationprivate detective, private eye, private investigator, shamus, sherlock, operativedetective - an investigator engaged or employed in obtaining information not easily available to the publichotel detective, house detective, house dick - a private detective employed by a hotel or retail storeinquiry agent - a private detectivestore detective - a private detective employed by a merchant to stop pilferage3.PI - the scientist in charge of an experiment or research projectprincipal investigatorscientist - a person with advanced knowledge of one or more sciences4.pi - the 16th letter of the Greek alphabetGreek alphabet - the alphabet used by ancient Greeksalphabetic character, letter of the alphabet, letter - the conventional characters of the alphabet used to represent speech; "his grandmother taught him his letters"5.PI - an antiviral drug used against HIV; interrupts HIV replication by binding and blocking HIV protease; often used in combination with other drugsprotease inhibitorantiviral, antiviral agent, antiviral drug - any drug that destroys virusesdrug cocktail, HAART, highly active antiretroviral therapy - a combination of protease inhibitors taken with reverse transcriptase inhibitors; used in treating AIDS and HIVCrixivan, indinavir - a protease inhibitor (trade name Crixivan) used for treating HIVnelfinavir, Viracept - a protease inhibitor (trade name Viracept) used in treating HIV usually in combination with other drugsNorvir, ritonavir - a protease inhibitor (trade name Norvir) used in treating HIVInvirase, saquinavir - a weak protease inhibitor (trade name Invirase) used in treating HIV
Translations

pi


pi,

in mathematics, the ratio of the circumference of a circle to its diameter. The symbol for pi is π. The ratio is the same for all circles and is approximately 3.1416. It is of great importance in mathematics not only in the measurement of the circle but also in more advanced mathematics in connection with such topics as continued fractions, logarithms of imaginary numbers, and periodic functions. Throughout the ages progressively more accurate values have been found for π; an early value was the Greek approximation 3 1-7, found by considering the circle as the limit of a series of regular polygons with an increasing number of sides inscribed in the circle. About the mid-19th cent. its value was figured to 707 decimal places and by the mid-20th cent. an electronic computer had calculated it to 100,000 digits. Although it has now been calculated to some 2.6 trillion digits, the exact value of π cannot be computed. It was shown by the German mathematician Johann Lambert in 1770 that π is irrational and by Ferdinand Lindemann in 1882 that π is transcendental; i.e., cannot be the root of any algebraic equation with rational coefficients. The important connection between π and e, the base of natural logarithms, was found by Leonhard Euler in the famous formula eiπ=−1, where i=√−1.

Pi

 

π, a letter of the Greek alphabet used in mathematics to denote a particular irrational number—the ratio of the circumference to the diameter of a circle. The symbol was probably adopted from the Greek word for “circumference,” or “periphery.” Although it came into general use after a paper by L. Euler in 1736, it was first used by the British mathematician W. Jones in 1706. Like all irrational numbers, π is an infinite nonrepeating decimal fraction:

π = 3.141592653589793238462643…

The requirements of practical calculations involving circles and circular solids long ago made it necessary to find approximations of π by rational numbers. In the second millennium B.C., ancient Egyptian computations of the area of a circle made use of the approximation π ≈ 3, or, more precisely, π ≈ (16/9)2= 3.16049.… In the third century B.C., Archimedes found, by comparing the circumference of a circle to regular inscribed and circumscribed polygons, that π is between the values

The second value is still used in calculations that do not require great accuracy. In the second half of the fifth century, the Chinese mathematician Tsu Ch’ung-chih obtained the approximation 3.1415927, which much later (16th century) was also found in Europe. This approximation is exact for the first six decimal places.

The search for a more exact approximation of π continued in later periods. For example, in the first half of the 15th century, al-Kashi calculated π to 17 places. In the early 17th century, the Dutch mathematician Ludolph van Ceulen obtained 32 places. For practical needs, however, it is sufficient to have values for π and the simplest expressions in which π occurs to only a few decimal places; reference works usually give four- to seven-place approximations for π, 1/π, π2, and log π.

The number π appears not only in the solution of geometric problems. Since the time of F. Vieta (16th century), the limits of certain arithmetic sequences generated by simple rules have been known to involve π. An example is Leibniz’ series (1673-74)

This series converges extremely slowly. There exist series for calculating π that converge much more rapidly. An example is the formula

where the values of the arc tangents are calculated by means of the series

The formula was used in 1962 for a computer calculation of π to 100,000 places. This type of calculation is of interest in connection with the concept of random and pseudorandom numbers. Statistical processing has shown that this set of 100,000 digits exhibits many features of a random sequence.

The possibility of a purely analytic definition of π is of fundamental importance for geometry. Thus, in non-Euclidean geometry π also occurs in some formulas but is no longer the ratio of the circumference to the diameter of a circle, for the ratio is not a constant in non-Euclidean geometry. The arithmetic nature of π was finally clarified by analytic means, among which a crucial role was played by the remarkable Euler formula e2πi = 1, where e is the base of the natural system of logarithms and Pi.

At the end of the 18th century, J. H. Lambert and A. M. Legendre proved that π is irrational. In 1882 the German mathematician F. Lindemann showed it to be transcendental—that is, it cannot satisfy any algebraic equation with integral coefficients. The Lindemann theorem conclusively established that the problem of squaring the circle cannot be solved by means of a compass and straightedge.

REFERENCES

O kvadrature kruga (Arkhimed, Giuigens, Lambert, Lezhandr): Sprilozheniem istorii voprosa…, 3rd ed. Moscow-Leningrad, 1936. (Translated from German.)
Shanks, D., and J. W. Wrench. “Calculation of π to 100,000 Decimals.” Mathematics of Computation, 1962, vol. 16, no. 77.

pi

[] (mathematics) The irrational number which is the ratio of the circumference of any circle to its diameter; an approximation is 3.14159. Symbolized π.

pi

1. the 16th letter in the Greek alphabet (Π, π), a consonant, transliterated as p 2. Maths a transcendental number, fundamental to mathematics, that is the ratio of the circumference of a circle to its diameter. Approximate value: 3.141 592…; symbol: π

PI

An interface between Prolog application programs and theX Window System that aims to be independent from theProlog engine, provided that it has a Quintus foreign function interface (e.g. SICStus and YAP). It is mostlywritten in Prolog and is divided in two libraries: Edipo -the lower level interface to the Xlib functions; andYtoolkit - the higher level user interface toolkit.

ftp://ftp.ncc.up.pt/pub/prolog/ytoolkit.tar.Z.

E-mail: Ze' Paulo Leal .

pi

The 16th letter of the Greek alphabet. It is used as a symbol for the ratio of the circumference of a circle to its diameter, which is 3.141592653, commonly rounded to 3.14. Perhaps no other number has been more pondered, examined and calculated than pi. Circa 1650 B.C., the ratio was computed by an Egyptian scribe, and the number was recorded as 3.16049 in the Rhind Papyrus. The writings described how to create a square area the same size as a circle.

The Exact Value of Pi
Over the years, pi, which was named some 3,000 years later, has been calculated numerous times to the maximum decimal place that humans and calculating devices could take it. In 1596, it was calculated to 32 decimal places and up to 127 places by 1719. In 1949, the ENIAC took 70 hours to yield 2,037 digits. However, in 1997, a Hitachi mainframe computed pi to 51.5 billion digits in 29 hours. The bottom line is that the absolutely exact value of pi cannot be computed.


The Pi Symbol

pi


π

1. The 16th letter of the Greek alphabet, pi. 2. Symbol for the ratio of the circumference of a circle to its diameter, approximately 3.14159; symbol for osmotic pressure (Π).

Pi

Symbol for inorganic orthophosphate (should not be used when covalently linked to another moiety).

PI

Abbreviation for Periodontal Index.

Pi

Abbreviation for inorganic phosphate.

pI

The pH value for the isoelectric point of a given substance.

pi (π, Π),

(), 1. The 16th letter of the Greek alphabet. 2. (Π). Symbol for osmotic pressure; in mathematics, symbol for the product of a series. 3. (π). Symbol for the ratio of the circumference of a circle to its diameter (approximately 3.14159). 4. Symbol for pros.

PI

Abbreviation for:
package insert
pain intensity
pancreatic insufficiency
parallel imports 
pars intermedia
paternity index
Pearl Index
performance indicator, see there 
perfusion imaging
peripheral iridectomy
phosphatidyl inositol
physically impaired
physiologic index
pituitary
plaque inhibition
poison ivy
post-implantation
post-infection
post-injection
post-inoculation
post-irradiation
post-ischaemic
present illness
primary infection
principal investigator 
product information
prognostic index
proliferation index
protease inhibitor
pulmonary index
pulmonary infarction
pulmonary insufficiency
pulse inversion

π

Greek, lower case, pi.

Π

Abbreviation for osmotic pressure; pi.

Pi

Abbreviation for inorganic orthophosphate.

PI

Abbreviation for Periodontal Index.

pI

Abbreviation for isoelectric point.

pi

(π, Π) () 1. The 16th letter of the Greek alphabet (π, Π). 2. Osmotic pressure (Π). 3. mathematics Symbol for the product of a series (Π). 4. Symbol for the ratio of the circumference of a circle to its diameter (approximately 3.14159265) (π).

Π

Abbreviation for osmotic pressure.

PI

Abbreviation for Periodontal Index.

pI

Abbreviation for isoelectric point.

pi

, π () 1. The 16th letter of the Greek alphabet. 2. (Π). Symbol for osmotic pressure; in mathematics, symbol for the product of a series.
LegalSeeIndexFinancialSeePie

PI


AcronymDefinition
PIPrivate Investigator
PIPolitically Incorrect
PIPer Inquiry
PI[not an acronym] name for Greek symbol representing the ratio of the circumference of a circle to its diameter; approximately 3.1416
PIPisa (Tuscany, Italy)
PIPlug In
PIProduct Information
PIPrivate Investigations (movie)
PIProcess Integration
PIPhase I (clinical studies)
PIPrincipal Investigator
PIPublic Information
PIProgram Improvement
PIProcess Improvement
PIPersonal Injury (legal)
PIPhosphate (Inorganic)
PIProtease Inhibitor
PIProfessional Indemnity (insurance coverage)
PIPoison Ivy
PIPlant Industry (Commonwealth Scientific and Industrial Research Organisation; Australia)
PIPackage Insert (medications)
PIProgram Information
PIPerformance Improvement
PIPiauí (Brazilian state)
PIPost Intelligencer (newspaper, Seattle, Washington)
PIProcessing Instruction
PIPolyimide (polymer)
PIPunto Informatico
PIPer Inch
PIPoint of Intersection
PIPoint of Impact
PIPolicy and International Affairs
PIPleasure Island (Disney World)
PIPinellas (plant; Florida)
PIPrescribing Information (medication)
PIPhiladelphia Inquirer (newspaper)
PIPaging (assembly language ASM51 assembler control)
PIPerformance Index
PIPrivacy Information (UK)
PIPinneberg (auto license plate)
PIPetroleum Institute
PIPCNA (Proliferating Cell Nuclear Antigen) Labeling Index
PIPerformance Indicator
PIPublic Involvement (various locations)
PIParental Involvement (various organizations)
PIPolice Interceptor
PIPersonal Inspection
PIPrivacy International (human rights group)
PIProprietary Information
PIPulse Induction
PIPhysik Instrumente
PIPlasticity Index
PIPlease Inquire
PIProgram Instructions
PIPresque Isle (Michigan)
PIPropidium Iodide
PIPoint of Inflection (engineering)
PIPhysikalisches Institut (German: Institute of Physics)
PIProportional-Integral (controller)
PIPrimer Impacto (TV show)
PIIsoelectric Point (chemistry)
PIProcess Industries
PIPulmonary Infection (lungs)
PIPhysical Inventory
PIPlaque Index (oral hygiene)
PIPredictive Index
PIPersistently Infected
PIPeriodic Inspection
PIPlant Information (real-time software products such as SCADA)
PIPhotoImpact (digital imaging software)
PIPropriedade Intelectual (Intellectual Property, Brazil)
PIProject Impact (various organizations)
PIPremature Infant
PIPacific Institute
PIPenile Implant
PIBlood Clotting
PIPersonal Investigator (less common)
PIPerpetual Inventory
PIParris Island
PIPlanet Internet
PIPreliminary Injunction
PIPolynomial Identity (mathematics)
PIPhoto Interpretation
PIPolyisocyanurate (rigid foam contruction material)
PIPhysics International
PIPasses Intercepted (soccer)
PIPlatform Integration (various organizations)
PIPower Integrations
PIPerimeter Institute for Theoretical Physics
PIPass Interference (football)
PIPandemic Influenza
PIPolicy Issuance (insurance)
PIPrivate Idaho
PIProgram Introduction (various organizations)
PIPraktische Informatik (German: Applied Informatics)
PIPrimary Immunodeficiency
PIPaedagogisches Institut (Vienna, Austria)
PIProgram Integrity
PIPhysically Impaired
PIProgram Increment
PIProcess & Instrumentation
PIPeripheral Iridotomy
PIPonderal Index
PIPhilippine Islands (slang)
PIProject Inspector (various locations)
PIPerformance Insight (Oracle)
PIPersonal Identifier
PIPulmonary Insufficiency (cardiac measurement)
PIPentium I (Intel)
PIPaternity Index
PIParallel Interface
PIPlant Integrity
PIPosition Indicator
PIPublic Intoxication (law enforcement)
PIPurchase Intent (marketing)
PIPulsatility Index
PIProduct Integration
PIPower Interface
PIPearl Islands (Hawaii)
PIPhysician Information
PIProduct Improvement
PIProfitability Index
PIProgram Index
PIPopulation Institute
PIPlouffe's Inverter
PIPostinjection
PIPressure Indicator (industrial control description)
PIPacific Internet (Internet Service Provider)
PIPost Inoculation
PIPlatform Initialization (Specification)
PIPrecision Instrument
PIProductivity Index (oil and gas well performance)
PIParanormal Investigator
PIProvider Independent (IP address space assigned by IANA)
PIProgram Identification
PIProduction Insurance
PIPhoto Interpreter
PIProforma Invoice
PIProgrammed Instruction
PIProyectos Industriales
PIProject Identification (number)
PIProfitabilty Improvement
PIPrediction Interval
PIPacket Interface
PIPartner Institution
PIProductivity Increase
PIPage Impression (Internet advertising)
PIProduct Integrity
PIPriority Inheritance
PIProtocol Interpreter
PIPaper Insulated
PIInternational Protocol
PIPrison Industry
PIPerlite Institute (Staten Island, NY)
PIPoint Initiating
PIProgram Interruption
PIParanoid Ideation
PIPanicle Initiation
PIPhosphorus Index
PIPursuit Inc.
PIPaperi-Insinöörit (Finnish: Paper Engineers)
PIPar Intérim (French: Deputizing)
PIParameter Identifier (ITU-T)
PIIstiqlal Party (Independence Party, Morocco)
PIParticular Integral
PIPayload Integrator
PIPerforated Initials (philately)
PIPatente de Invenção (Patent, Brazil)
PIPhotographic Interpreter
PIPrime Implicant
PIPrimary Injection
PIProjets Individuels
PIPortable Interceptors
PIPopcorn Institute (Chicago, IL)
PIPigeon Trainer (US Navy)
PIPrimary Investigations
PIPurchasing Instruction
PIPusat Informasi (Indonesian: Information Center)
PIPrécompte Immobilier (French: tax on real estate)
PIParents for Inclusion
PIPrice Integrity
PIParadigm Infinitum (Singapore)
PIProgram Isolation (IBM)
PIPhysicist Interface
PIPraendex Incorporated (Wellesley, MA)
PIPrincipal Insured
PIPrintImage International
PIParameter Indicator
PIProspective Internationale
PIPerceptually Impaired
PIPulse Inverter
PIPerception Immédiate (French)
PIParent Initial
PIProjector Infantry
PIPsykoterapiinstitut (Stockholm, Sweden)
PIPaducah & Illinois Railroad
PIProcurement Instruction
PIPage Interleaving
PIProfessional Informant
PIPsicología Integrada (Portugese)
PIIonized Phosphorus
PIProto-I.jo
PIPassive Intercept
PIPampers Institute (UK)
PIProfil Infirmier
PIProbationary Instructor
PIPreliminary Investigation Coordinator (Canada)
PIPallidum Internum

pi


  • noun

Words related to pi

noun the ratio of the circumference to the diameter of a circle

Related Words

  • transcendental number

noun someone who can be employed as a detective to collect information

Synonyms

  • private detective
  • private eye
  • private investigator
  • shamus
  • sherlock
  • operative

Related Words

  • detective
  • hotel detective
  • house detective
  • house dick
  • inquiry agent
  • store detective

noun the scientist in charge of an experiment or research project

Synonyms

  • principal investigator

Related Words

  • scientist

noun the 16th letter of the Greek alphabet

Related Words

  • Greek alphabet
  • alphabetic character
  • letter of the alphabet
  • letter

noun an antiviral drug used against HIV

Synonyms

  • protease inhibitor

Related Words

  • antiviral
  • antiviral agent
  • antiviral drug
  • drug cocktail
  • HAART
  • highly active antiretroviral therapy
  • Crixivan
  • indinavir
  • nelfinavir
  • Viracept
  • Norvir
  • ritonavir
  • Invirase
  • saquinavir
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更新时间:2024/11/14 3:51:27