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Principal branch information


In mathematics, a principal branch is a function which selects one branch ("slice") of a multi-valued function. Most often, this applies to functions defined on the complex plane.

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Principal branch

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In mathematics, a principal branch is a function which selects one branch ("slice") of a multi-valued function. Most often, this applies to functions...

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Principal value

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specifically complex analysis, the principal values of a multivalued function are the values along one chosen branch of that function, so that it is single-valued...

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Lambert W function

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there is one branch, denoted by Wk(z), which is a complex-valued function of one complex argument. W0 is known as the principal branch. These functions...

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Complex logarithm

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with this include branches, the associated Riemann surface, and partial inverses of the complex exponential function. The principal value defines a particular...

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Principal Financial Group

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India. Principal also has a lobbyist registered in the Iowa Legislature since December 2016. He is designated to lobby the Executive Branch of the Government...

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Natural logarithm

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({\sqrt[{n}]{z}}-1)} This definition, therefore, derives its own principal branch from the principal branch of nth roots. The natural logarithm of a positive, real...

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Principal component analysis

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Principal component analysis (PCA) is a linear dimensionality reduction technique with applications in exploratory data analysis, visualization and data...

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Inverse trigonometric functions

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When only one value is desired, the function may be restricted to its principal branch. With this restriction, for each x {\displaystyle x} in the domain...

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Imaginary unit

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is reserved either for the principal square root function, which is defined for only real x ≥ 0, or for the principal branch of the complex square root...

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Inverse function

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−√x) are called branches. The most important branch of a multivalued function (e.g. the positive square root) is called the principal branch, and its value...

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Incomplete gamma function

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integer, x real and γ principal. Now let u be from the sector |arg z| < δ < π/2 with some fixed δ (α = 0), γ be the principal branch on this sector, and...

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Head teacher

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transformational leadership: women principals advancing social justice and educational equity". Cambridge Journal of Education. Gregory Branch, Eric Hanushek, and Steven...

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Formosan languages

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Formosan languages form nine of the ten principal branches of the family, while the one remaining principal branch, Malayo-Polynesian, contains nearly 1...

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Clan Fraser of Lovat

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Friseal [ˈkʰl̪ˠãũn̪ˠ ˈfɾʲiʃəl̪ˠ]) is a Highland Scottish clan and the principal branch of Clan Fraser. The Frasers of Lovat are strongly associated with Inverness...

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Clan Stewart

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clan; however, the Earls of Galloway are now considered to be the principal branch of this clan, and the crest and motto of The Earls of Galloway's arms...

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Inverse gamma function

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\Gamma ^{-1}(24)=5} . Usually, the inverse gamma function refers to the principal branch with domain on the real interval [ β , + ∞ ) {\displaystyle \left[\beta...

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West Branch Susquehanna River

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The West Branch Susquehanna River is one of the two principal branches, along with the North Branch, of the Susquehanna River in the Northeastern United...

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Lake Erie and Western Railroad

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Michigan City, Indiana and from Fort Wayne to Connersville, Indiana. Principal branch lines extended from St. Marys' to Minster, Ohio and from New Castle...

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Margary numbers

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categories: Main Routes are given single-digit numbers, Principal Branches two-digit numbers and Minor Branches three digit numbers. Individual sections of longer...

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Multivalued function

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the case with real functions, the restricted range may be called the principal branch of the function. In physics, multivalued functions play an increasingly...

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Clan Agnew

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in the 93rd Highlanders in Canada and was MP for Wigtonshire. The principal branches of the Clan Agnew include: the Agnews of Croach or Lochryan, descending...

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Logarithm

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interval for the principal arguments, then ak is called the principal value of the logarithm, denoted Log(z), again with a capital L. The principal argument of...

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Banesco

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Banesco Banco Universal C.A. is a Venezuelan financial institution whose principal branch is located in Caracas. The bank is part of the Asociación Bancaria...

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Menzies Aviation

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such as Wyman & Sons in 1959. In January 1998, the company closed its principal branch in Edinburgh, although the head office continued to occupy the building...

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Principal warfare officer

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A principal warfare officer (PWO), is one of a number of warfare branch specialist officers. In Australia, a PWO is a Royal Australian Navy officer who...

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Omega constant

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transcendental. Mező, István. "An integral representation for the principal branch of the Lambert W function". Retrieved 24 April 2022. Mező, István (2020)...

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Algebra

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Shirshov 2020, § The Subject Matter of Algebra, Its Principal Branches and Its Connection with Other Branches of Mathematics. Gilbert & Nicholson 2004, p. 4...

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