Gamma in the context of Electrical resistivity


Gamma in the context of Electrical resistivity

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⭐ Core Definition: Gamma

Gamma (/ˈɡæmə/ ; uppercase Γ, lowercase γ; Greek: γάμμα, romanizedgámma) is the third letter of the Greek alphabet. In the system of Greek numerals it has a value of 3. In Ancient Greek, the letter gamma represented a voiced velar stop IPA: [ɡ]. In Modern Greek, this letter normally represents a voiced velar fricative IPA: [ɣ], except before either of the two front vowels (/e/, /i/), where it represents a voiced palatal fricative IPA: [ʝ]; while /g/ in foreign words is instead commonly transcribed as γκ).

In the International Phonetic Alphabet and other modern Latin-alphabet based phonetic notations, it represents the voiced velar fricative.

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Gamma in the context of Electrical resistivity and conductivity

Electrical resistivity (also called volume resistivity or specific electrical resistance) is a fundamental specific property of a material that measures its electrical resistance or how strongly it resists electric current. A low resistivity indicates a material that readily allows electric current. Resistivity is commonly represented by the Greek letter ρ (rho). The SI unit of electrical resistivity is the ohm-metre (Ω⋅m). For example, if a 1 m solid cube of material has sheet contacts on two opposite faces, and the resistance between these contacts is 1 Ω, then the resistivity of the material is 1 Ω⋅m.

Electrical conductivity (or specific conductance) is the reciprocal of electrical resistivity. It represents a material's ability to conduct electric current. It is commonly signified by the Greek letter σ (sigma), but κ (kappa) (especially in electrical engineering) and γ (gamma) are sometimes used. The SI unit of electrical conductivity is siemens per metre (S/m). Resistivity and conductivity are intensive properties of materials, giving the opposition of a standard cube of material to current. Electrical resistance and conductance are corresponding extensive properties that give the opposition of a specific object to electric current.

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Gamma in the context of Circulation (physics)

In physics, circulation is the line integral of a vector field around a closed curve embedded in the field. In fluid dynamics, the field is the fluid velocity field. In electrodynamics, it can be the electric or the magnetic field.

In aerodynamics, it finds applications in the calculation of lift, for which circulation was first used independently by Frederick Lanchester, Ludwig Prandtl, Martin Kutta and Nikolay Zhukovsky. It is usually denoted by Γ (uppercase gamma).

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Gamma in the context of Specific weight

The specific weight, also known as the unit weight (symbol γ, the Greek letter gamma), is a volume-specific quantity defined as the weight W divided by the volume V of a material:Equivalently, it may also be formulated as the product of density, ρ, and gravity acceleration, g: Its unit of measurement in the International System of Units (SI) is the newton per cubic metre (N/m), expressed in terms of base units as kg⋅m⋅s.A commonly used value is the specific weight of water on Earth at 4 °C (39 °F), which is 9.807 kilonewtons per cubic metre or 62.43 pounds-force per cubic foot.

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Gamma in the context of Lorentz factor

The Lorentz factor or Lorentz term (also known as the gamma factor) is a dimensionless quantity expressing how much the measurements of time, length, and other physical properties change for an object while it moves. The expression appears in several equations in special relativity, and it arises in derivations of the Lorentz transformations. The name originates from its earlier appearance in Lorentzian electrodynamics – named after the Dutch physicist Hendrik Lorentz.

It is generally denoted γ (the Greek lowercase letter gamma). Sometimes (especially in discussion of superluminal motion) the factor is written as Γ (Greek uppercase-gamma) rather than γ.

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Gamma in the context of Swedish Dialect Alphabet

The Swedish Dialect Alphabet (Swedish: Landsmålsalfabetet) is a phonetic alphabet created in 1878 by Johan August Lundell and used for the narrow transcription of Swedish dialects. The initial version of the alphabet consisted of 89 letters, 42 of which came from the phonetic alphabet proposed by Carl Jakob Sundevall. It has since grown to over 200 letters. The alphabet supplemented Latin letters with symbols adapted from a range of alphabets, including modified forms of þ and ð from Germanic alphabets, γ and φ from the Greek alphabet and ы from the Cyrillic alphabet, and extended with systematic decorations. There are also a number of diacritics representing prosodic features.

The alphabet has been used extensively for the description of Swedish dialects in both Sweden and Finland. It was also the source of many of the symbols used by the Swedish sinologist Bernhard Karlgren in his reconstruction of Middle Chinese.

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Gamma in the context of Optimal job scheduling

Optimal job scheduling is a class of optimization problems related to scheduling. The inputs to such problems are a list of jobs (also called processes or tasks) and a list of machines (also called processors or workers). The required output is a schedule – an assignment of jobs to machines. The schedule should optimize a certain objective function. In the literature, problems of optimal job scheduling are often called machine scheduling, processor scheduling, multiprocessor scheduling, load balancing, or just scheduling.

There are many different problems of optimal job scheduling, different in the nature of jobs, the nature of machines, the restrictions on the schedule, and the objective function. A convenient notation for optimal scheduling problems was introduced by Ronald Graham, Eugene Lawler, Jan Karel Lenstra and Alexander Rinnooy Kan. It consists of three fields: α, β and γ. Each field may be a comma separated list of words. The α field describes the machine environment, β the job characteristics and constraints, and γ the objective function. Since its introduction in the late 1970s the notation has been constantly extended, sometimes inconsistently. As a result, today there are some problems that appear with distinct notations in several papers.

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Gamma in the context of Voiced velar fricative

A voiced velar fricative is a type of consonantal sound that is used in various spoken languages. It is not found in most varieties of Modern English but existed in Old English. The symbol in the International Phonetic Alphabet that represents this sound is ⟨ɣ⟩, a Latinized variant of the Greek letter gamma, ⟨γ⟩, which has this sound in Modern Greek. It should not be confused with the graphically-similar ⟨ɤ⟩, the IPA symbol for a close-mid back unrounded vowel, which some writings use for the voiced velar fricative.

The symbol ⟨ɣ⟩ is also sometimes used to represent the velar approximant, which, however, is more accurately written with the lowering diacritic: [ɣ̞] or [ɣ˕]. The IPA also provides a dedicated symbol for a velar approximant, [ɰ].

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Gamma in the context of Euler's constant

Euler's constant (sometimes called the Euler–Mascheroni constant) is a mathematical constant, usually denoted by the lowercase Greek letter gamma (γ), defined as the limiting difference between the harmonic series and the natural logarithm, denoted here by log:Here, ⌊·⌋ represents the floor function.

The numerical value of Euler's constant, to 50 decimal places, is:

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Gamma in the context of Gamma function

In mathematics, the gamma function (represented by , capital Greek letter gamma) is the most common extension of the factorial function to complex numbers. First studied by Daniel Bernoulli, the gamma function is defined for all complex numbers except non-positive integers, and for every positive integer . The gamma function can be defined via a convergent improper integral for complex numbers with positive real part:

The gamma function then is defined in the complex plane as the analytic continuation of this integral function: it is a meromorphic function which is holomorphic except at zero and the negative integers, where it has simple poles.

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