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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 ...
A branch cut, usually along the negative real axis, can limit the imaginary part so it lies between −π and π. These are the chosen principal values. This is the principal branch of the log function. Often it is defined using a capital letter, Log z.
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 quantum-mechanical "Schrödinger's cat" paradox according to the many-worlds interpretation.In this interpretation, every quantum event is a branch point; the cat is both alive and dead, even before the box is opened, but the "alive" and "dead" cats are in different branches of the multiverse, both of which are equally real, but which do not interact with each other.
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In biochemistry, the committed step (also known as the first committed step) is an effectively irreversible, enzyme-catalyzed reaction that occurs at a branch point during the biosynthesis of some molecules. [1] [2] As the name implies, after this step, the molecules are "committed" to the pathway and will ultimately end up in the pathway's ...