Rearrangement may refer to:
Chemistry
*
Rearrangement reaction
In organic chemistry, a rearrangement reaction is a broad class of organic reactions where the carbon skeleton of a molecule is rearranged to give a structural isomer of the original molecule. Often a substituent moves from one atom to another ...
Mathematics
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Rearrangement inequality In mathematics, the rearrangement inequality states that
x_n y_1 + \cdots + x_1 y_n
\leq x_ y_1 + \cdots + x_ y_n
\leq x_1 y_1 + \cdots + x_n y_n
for every choice of real numbers
x_1 \leq \cdots \leq x_n \quad \text \quad y_1 \leq \cdots \leq y_n
...
* The Riemann rearrangement theorem, also called the
Riemann series theorem
In mathematics, the Riemann series theorem (also called the Riemann rearrangement theorem), named after 19th-century German mathematician Bernhard Riemann, says that if an infinite series of real numbers is conditionally convergent, then its terms ...
** see also
Lévy–Steinitz theorem In mathematics, the Lévy–Steinitz theorem identifies the set of values to which rearrangements of an infinite series of vectors in R''n'' can converge. It was proved by Paul Lévy in his first published paper when he was 19 years old. In 1913 Er ...
* A permutation of the terms of a
conditionally convergent series
Genetics
*
Chromosomal rearrangement
In genetics, a chromosomal rearrangement is a mutation that is a type of chromosome abnormality involving a change in the structure of the native chromosome. Such changes may involve several different classes of events, like deletions, duplicatio ...
s, such as:
**
Translocations
In genetics, chromosome translocation is a phenomenon that results in unusual rearrangement of chromosomes. This includes balanced and unbalanced translocation, with two main types: reciprocal-, and Robertsonian translocation. Reciprocal translo ...
**
Ring chromosome
A ring chromosome is an aberrant chromosome whose ends have fused together to form a ring. Ring chromosomes were first discovered by Lilian Vaughan Morgan in 1926. A ring chromosome is denoted by the symbol ''r'' in human genetics and ''R'' in ''D ...
s
**
Chromosomal inversion
An inversion is a chromosome rearrangement in which a segment of a chromosome becomes inverted within its original position. An inversion occurs when a chromosome undergoes a two breaks within the chromosomal arm, and the segment between the two br ...
s
{{Disambiguation