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Branch points fall into three broad categories: algebraic branch points, transcendental branch points, and logarithmic branch points. Algebraic branch points most commonly arise from functions in which there is an ambiguity in the extraction of a root, such as solving the equation w 2 = z {\displaystyle w^{2}=z} for w {\displaystyle w} as a ...
Branched pathways, also known as branch points (not to be confused with the mathematical branch point), are a common pattern found in metabolism.This is where an intermediate species is chemically made or transformed by multiple enzymatic processes.
Branch point in a polymer Glycogen, a branched polysaccharide In polymer chemistry , branching is the regular or irregular attachment of side chains to a polymer 's backbone chain . It occurs by the replacement of a substituent (e.g. a hydrogen atom ) on a monomer subunit by another covalently-bonded chain of that polymer; or, in the case of a ...
Multivalued functions of a complex variable have branch points. For example, for the nth root and logarithm functions, 0 is a branch point; for the arctangent function, the imaginary units i and −i are branch points. Using the branch points, these functions may be redefined to be single-valued functions, by restricting the range.
The ramification set (branch locus on the base, double point set above) will be two real dimensions lower than the ambient manifold, and so will not separate it into two 'sides', locally―there will be paths that trace round the branch locus, just as in the example.
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A branch, also called a ramus in botany, is a stem that grows off from another stem, or when structures like veins in leaves are divided into smaller veins. [1]
Traditional savings account rates. The Federal Deposit Insurance Corporation tracks monthly average interest rates paid on savings and other deposit accounts, like certificates of deposit, that ...