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Mu (letter)

 

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Mu (letter)



 
 
Mu (uppercase ?, lowercase µ; or ) is the 12th letter of the Greek alphabet
Greek alphabet

The Greek alphabet is a set of twenty-four letters that has been used to write the Greek language since the late 9th century BC or early 8th century BCE....
. In the system of Greek numerals
Greek numerals

Greek numerals are a numeral system using letters of the Greek alphabet. They are also known by the names Milesian numerals, Alexandrian numerals, or alphabetic numerals....
 it has a value of 40. Mu was derived from the Egyptian hieroglyphic symbol for water () which had been simplified by the Phoenicia
Phoenicia

Phoenicia was an ancient civilization centered in the north of ancient Canaan, with its heartland along the coastal regions of modern day Lebanon, extending to parts of Israel, Syria and the Palestinian territories....
ns and named after their word for water, to become Mem . Letters that arose from Mu include the Roman M
M

M is the thirteenth letter of the modern Latin alphabet. Its name in English language is spelled em ....
 and the Cyrillic letter ?
Em (Cyrillic)

Em is a letter of the Cyrillic alphabet, representing a bilabial nasal consonant unless it is before a palatalization vowel when it represents . It is derived from the Greek letter mu ....
.

word Mu, pronounced or in English, is written in traditional Greek polytonic orthography.






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Mu (uppercase ?, lowercase µ; or ) is the 12th letter of the Greek alphabet
Greek alphabet

The Greek alphabet is a set of twenty-four letters that has been used to write the Greek language since the late 9th century BC or early 8th century BCE....
. In the system of Greek numerals
Greek numerals

Greek numerals are a numeral system using letters of the Greek alphabet. They are also known by the names Milesian numerals, Alexandrian numerals, or alphabetic numerals....
 it has a value of 40. Mu was derived from the Egyptian hieroglyphic symbol for water () which had been simplified by the Phoenicia
Phoenicia

Phoenicia was an ancient civilization centered in the north of ancient Canaan, with its heartland along the coastal regions of modern day Lebanon, extending to parts of Israel, Syria and the Palestinian territories....
ns and named after their word for water, to become Mem . Letters that arose from Mu include the Roman M
M

M is the thirteenth letter of the modern Latin alphabet. Its name in English language is spelled em ....
 and the Cyrillic letter ?
Em (Cyrillic)

Em is a letter of the Cyrillic alphabet, representing a bilabial nasal consonant unless it is before a palatalization vowel when it represents . It is derived from the Greek letter mu ....
.

Usage


Ancient Greek

The word Mu, pronounced or in English, is written in traditional Greek polytonic orthography. In Modern Greek
Modern Greek

Modern Greek refers the varieties of Greek spoken in the modern era. The beginning of the "modern" period of the language is often symbolically assigned to the fall of the Byzantine Empire in 1453, even though that date marks no clear linguistic boundary and many characteristic modern features of the language had been present centuries earli...
 the ancient version is sometimes written .

Modern Greek

In Modern Greek, the name of the letter is spelled and is pronounced [mi].

About

The letter Mu appears in conjunction with alpha
Alpha (letter)

Alpha is the first letter of the Greek alphabet. In the system of Greek numerals it has a value of 1. It was derived from the Phoenician alphabet Aleph ....
 and omega to signify the "beginning, middle (meson) and end", a phrase found in an Orphic verse describing Zeus
Zeus

Zeus in Greek mythology is the king of the gods, the ruler of Mount Olympus and the god of the sky father and List of thunder gods. His symbols are the thunderbolt, eagle, bull , and oak....
, and later adopted to describe both JHWH and Jesus
Jesus

Jesus of Nazareth , also known as Jesus Christ, is the central figure of Christianity and is revered by most Christian churches as the Son of God and the Incarnation ....
.

In Aeschylus
Aeschylus

Aeschylus was an Ancient Greece playwright. He is often recognized as the father or the founder of tragedy, and is the earliest of the three Greek tragedy whose Play survive extant, the others being Sophocles and Euripides....
' Eumenides
Eumenides

Eumenides may refer to:* Another name for the Erinyes, Greek mythology of vengeance* Oresteia#The Eumenides, the third part of Aeschylus Greek tragedy, the Oresteia...
, the repeated moaning of the letter Mu is the sound made by the sleeping Furies as the ghost of Clytemnestra
Clytemnestra

Clytemnestra was the wife of Agamemnon, king of the Ancient Greece kingdom of Mycenae or Argos. In the Oresteia by Aeschylus, she was a femme fatale who murdered her husband, Agamemnon—said by Euripides to be her second husband—and his concubine Cassandra....
 begins to invoke them. It again appears as an ominous mantra in a 10th century Coptic papyrus, containing a Christian injunction against perjurers that invokes the angel Temeluchos:

I adjure you by the seven perfect letters, ???????. You must appear to him, you must appear to him. I adjure you by the seven angels around the throne of the father.


Academia

The lower-case letter mu is used as a special symbol in many academic fields. The upper case Mu is not generally used in this way because it is normally indistinguishable from the Latin M.
  • In mathematics
    Mathematics

    Mathematics is the study of quantity, structure, space, change, and related topics of pattern and form. Mathematicians seek out patterns whether found in numbers, space, natural science, computers, imaginary abstractions, or elsewhere....
    :
    • the µ-roots of a complex
      Complex

      A complex is a whole that comprehends a number of intricate parts, especially one with interconnected or mutually related parts.Complex may refer to:...
       z = a + bi number
    • the Möbius function
      Möbius function

      The classical M?bius function μ is an important multiplicative function in number theory and combinatorics. The German mathematician August Ferdinand M?bius introduced it in 1832....
       in number theory
      Number theory

      Number theory is the branch of pure mathematics concerned with the properties of numbers in general, and integers in particular, as well as the wider classes of problems that arise from their study....
    • the integrating factor
      Integrating factor

      In mathematics, an integrating factor is a function that is chosen to facilitate the solving of a given ordinary differential equation....
       in ordinary differential equations
    • the population mean
      Mean

      In statistics, mean has two related meanings:* the arithmetic mean .* the expected value of a random variable, which is also called the population mean....
       or expected value
      Expected value

      In probability theory and statistics, the expected value of a random variable is the Lebesgue integral of the random variable with respect to its probability measure....
       in probability
      Probability

      Probability, or wikt:chance, is a way of expressing knowledge or belief that an Event will occur or has occurred. In mathematics the concept has been given an exact meaning in probability theory, that is used extensively in such areas of study as mathematics, statistics, finance, gambling, science, and philosophy to draw conclusions about t...
       and statistics
      Statistics

      Statistics is a Mathematics pertaining to the collection, analysis, interpretation or explanation, and presentation of data. It also provides tools for prediction and forecasting based on data....
    • a measure
      Measure (mathematics)

      In mathematics, more specifically in measure theory, a measure on a set is a systematic way to assign to each suitable subset a number, intuitively interpreted as the size of the subset....
       in measure theory
    • minimalization
      Mu operator

      In recursion theory, the ? operator, minimization operator, or unbounded search operator searches for the least natural number with a given property....
       in computability theory
      Computability theory (computer science)

      In computer science, computability theory is the branch of the theory of computation that studies which problems are computationally solvable using different Model of computation....
       and Recursion theory
      Recursion theory

      Recursion theory, also called computability theory, is a branch of mathematical logic that originated in the 1930s with the study of computable functions and Turing degrees....
    • the learning rate as used in artificial neural networks
  • In measurement:
    • the SI prefix
      SI prefix

      An SI prefix is a name or associated symbol that precedes a basic unit of measure to form a decimal multiple . The abbreviation SI is from the French language name Syst?me International d?Unit?s ....
       micro-, which represents one millionth, or 10−6.
    • the micron, an old unit which corresponds to the micrometre
      Micrometre

      A micrometre or micron is one Micro- of a metre, or equivalently one thousandth of a millimetre. It is also commonly known as a micron....
       (which is now denoted "µm")
  • In classical physics
    Classical physics

    Classical physics is a general term used to describe the branches of physics based on principles developed before the rise of general theory of relativity and Quantum mechanics, usually including special theory of relativity....
     and engineering
    Engineering

    Engineering is the discipline and profession of applying Technology and science knowledge and utilizing natural laws and physical resources in order to design and implement materials, structures, machines, devices, systems, and process that safely realize a desired objective and meet specified criteria....
    :
    • the coefficient of friction (also used in aviation as braking coefficient)
    • reduced mass
      Reduced mass

      Reduced mass is the "effective" inertial mass appearing in the two-body problem of Newtonian mechanics. This is a quantity with the Units_of_measurement of mass, which allows the two-body problem to be solved as if it were a one-body problem....
       in the two-body problem
      Two-body problem

      In classical mechanics, the two-body problem is to determine the motion of two point particles that interact only with each other. Common examples include a satellite orbiting a planet, a planet orbiting a star, two stars orbiting each other , and a classical electron orbiting an atomic nucleus....
    • linear density
      Linear density

      Linear density, linear mass density or linear mass is a measure of mass per unit of length, and it is a characteristic of strings or other one-dimensional objects....
       or mass per unit length in strings and other one-dimensional objects.
    • permeability
      Permeability (electromagnetism)

      In electromagnetism, permeability is the degree of magnetization of a material that responds linearly to an applied magnetic field. Magnetic permeability is typically represented by the Greek letter Mu ....
       in electromagnetism
      Electromagnetism

      Electromagnetism is the physics of the electromagnetic field, a field which exerts a force on Elementary particles with the property of electric charge and which is reciprocally affected by the presence and motion of such particles....
    • dynamic viscosity
      Viscosity

      Viscosity is a measure of the Drag of a fluid which is being deformed by either shear stress or extensional stress. In everyday terms , viscosity is "thickness"....
       in fluid mechanics
      Fluid mechanics

      Fluid mechanics is the study of how fluids move and the forces on them. Fluid mechanics can be divided into fluid statics, the study of fluids at rest, and fluid dynamics, the study of fluids in motion....
    • the amplification
      Amplification

      Amplification may refer to:* The operation of an amplifier, a natural or artificial device intended to make a signal stronger.* Amplification , a figure of speech that adds importance to increase its rhetorical effect....
       factor of a triode
      Triode

      A triode is an electronic amplifier device having three active electrodes. The term most commonly applies to a vacuum tube with three elements: the Electrical filament or cathode, the control grid, and the Plate electrode or anode....
       vacuum tube
      Vacuum tube

      In electronics, a vacuum tube, electron tube , thermionic valve, or just valve is a device used to amplifier, switch, otherwise modify, or create an Electricity signal by controlling the movement of electrons in a low-pressure space....
  • In inorganic chemistry
    Inorganic chemistry

    Inorganic chemistry is the branch of chemistry concerned with the properties and behavior of inorganic compounds. This field covers all chemical compounds except the myriad organic compounds , which are the subjects of organic chemistry....
    :
    • the prefix given in IUPAC nomenclature for a bridging ligand
      Bridging ligand

      A bridging ligand is a ligand that connects two or more atoms, usually metal ions. The ligand may be atomic or polyatomic. Virtually all complex organic compounds can serve as bridging ligands, so the term is usually restricted to small ligands such as pseudohalides or to ligands that are specifically designed to link two metals....
      .
  • In particle physics
    Particle physics

    Particle physics is a branch of physics that studies the elementary particle constituents of matter and radiation, and the interactions between them....
    :
    • the elementary particle
      Elementary particle

      In particle physics, an elementary particle or fundamental particle is a wiktionary:particle not known to have substructure; that is, it is not known to be made up of smaller particles....
       called the muon
      Muon

      The muon is an elementary particle similar to the electron, with negative electric charge and a spin of . Together with the electron, the tau lepton, and the three neutrinos, it is classified as a lepton....
  • In Pharmacology
    Pharmacology

    Pharmacology is the study of drug action. More specifically it is the study of the interactions that occur between a living organism and exogenous chemicals that alter normal biochemical function....
    :
    • an important opiate receptor
  • In thermodynamics
    Thermodynamics

    In physics, thermodynamics is the study of the conversion of heat energy into different forms of energy ; different energy conversions into heat energy; and its relation to macroscopic variables such as temperature, pressure, and volume....
    :
    • the chemical potential
      Chemical potential

      In thermodynamics, physics and chemistry, chemical potential, symbolized by ?, is a term introduced by the American engineer, chemist and mathematical physicist Willard Gibbs, which he defined as follows:...
       of a system or component of a system.
  • In orbital mechanics:
    • Standard gravitational parameter
      Standard gravitational parameter

      In astrodynamics, the standard gravitational parameter of a celestial body is the product of the gravitational constant and the mass :The units of the standard gravitational parameter are km3s-2...
       of a celestial body, the product of the gravitational constant
      Gravitational constant

      The gravitational constant, denoted G, is an empirical physical constant involved in the calculation of the gravitation between objects with mass....
       G and the mass
      Mass

      In physical science, mass refers to the degree of acceleration a body acquires when subject to a force: bodies with greater mass are accelerated less by the same force....
       M.
  • In music:
    • Mu major chord
      Mu major chord

      A mu major chord is a somewhat unconventional name for an "add 2" or "add 9" chord. It is formed by adding a 2nd to a major triad; in other words, it is a chord constructed from the 1st, 2nd, 3rd and 5th degrees of the major scale....


Computing

In Unicode, the upper and lower case mu are encoded at 039C and U+03BC respectively. In ISO 8859-7 they are encoded at CCHEX
Hexadecimal

In mathematics and computer science, hexadecimal is a numeral system with a radix, or base, of 16. It uses sixteen distinct symbols, most often the symbols 09 to represent values zero to nine, and A, B, C, D, E, F to represent values ten to fifteen....
and ECHEX. The micro sign or micron
Micron

Micron can refer to:*Micron, a micrometre, a unit of length in the metric system: one millionth of a metre*Micron or millitorr, a micrometre of mercury , a unit of pressure in vacuum engineering...
 is considered a distinct character
Character (word)

A character may refer to any sign or symbol....
 from the Greek alphabet letter by Unicode for historical reasons (although it is a homoglyph
Homoglyph

In typography, a homoglyph is one of two or more grapheme with shapes that are either identical, or cannot be differentiated by quick visual inspection....
) and is found at U+00B5 as well as position B5HEX in ISO 8859-1, 3, 8, 9, 13 and 15, and thus in the corresponding Windows code pages Windows-1252
Windows-1252

Windows-1252 is a character encoding of the Latin alphabet, used by default in the legacy components of Microsoft Windows in English and some other Western languages....
 etc. ISO-8859-5 also has a character that looks somewhat like lower case mu at E6HEX but this is actually supposed to be the Cyrillic small letter tse.

When Alt-0181 or the DOS legacy
Code page 437

IBM PC or MS-DOS code page 437, often abbreviated CP437 and also known as, DOS-US, OEM-US or sometimes misleadingly referred to as the OEM font, High ASCII or Extended ASCII, is the original character set of the IBM PC, circa 1981....
 Alt+230 or Alt+ is typed into an editable field using the numeric keypad
Numeric keypad

A numeric keypad, or numpad for short, is the small, palm-sized, seventeen key section of a computer keyboard, usually on the very far right....
 in Microsoft Windows
Microsoft Windows

Microsoft Windows is a series of software operating systems and graphical user interfaces produced by Microsoft. Microsoft first introduced an operating environment named Windows in November 1985 as an add-on to MS-DOS in response to the growing interest in graphical user interfaces ....
, the µ symbol appears. Also if AltGr + M is pressed you get µ. In HTML code, the µ symbol is represented by "µ" (or "µ") and "µ".

Because µ is the abbreviation for the Metric System
Metric system

The metric system is an international decimalised systems of measurement, founded by France in 1791, that is the common system of Unit of measurement used by most of the world....
 prefix micro-, the symbol is used in many word plays about the field of micro-computing. For example, the symbol is used in the name and logo of the popular bittorrent client
BitTorrent client

BitTorrent is a peer-to-peer computer program developed by Bram Cohen and BitTorrent, Inc. used for uploading and downloading files via the BitTorrent protocol....
, µTorrent. It is sometimes simply substituted with a u, the most likely looking ASCII
ASCII

American Standard Code for Information Interchange , is a coding standard that can be used for interchanging information, if the information is expressed mainly by the written form of English words....
 glyph, eg. uTorrent.

Popular culture

  • Mike Paradinas
    Mike Paradinas

    Mike Paradinas , who works primarily under the name Mu -Ziq in addition to a large number of aliases, is a United Kingdom musician in the field of electronic music....
    , a British electronic musician, uses the letter in his stage name µ-ziq (pronounced music), as well as in the name of his record label Planet µ, often written Planet Mu.
  • Typing the numbers (4,8,15,16,23,42) from the TV series Lost
    Lost (TV series)

    Lost is an American Serial television program. It follows the lives of plane crash survivors on a mysterious tropical island, after a commercial Oceanic Flight 815 flying between Sydney, Australia and Los Angeles, United States crashes somewhere in the Oceania....
     resulted in the character "µ". In Microsoft Windows
    Microsoft Windows

    Microsoft Windows is a series of software operating systems and graphical user interfaces produced by Microsoft. Microsoft first introduced an operating environment named Windows in November 1985 as an add-on to MS-DOS in response to the growing interest in graphical user interfaces ....
    , holding down the "Alt" key while entering these numbers results in the character appearing wherever your cursor is (though the 4 and 8 are superfluous).